# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc3_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(~(v6_struct_0(X1))=>~(v7_struct_0(X1)))), file('field_16/field_16__t53_field_16', cc3_struct_0)).
fof(dt_l3_struct_0, axiom, ![X1]:(l3_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t53_field_16', dt_l3_struct_0)).
fof(dt_l4_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(l2_struct_0(X1)&l3_struct_0(X1))), file('field_16/field_16__t53_field_16', dt_l4_struct_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__t53_field_16', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('field_16/field_16__t53_field_16', dt_l6_algstr_0)).
fof(cc1_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>(v2_struct_0(X1)=>v7_struct_0(X1))), file('field_16/field_16__t53_field_16', cc1_struct_0)).
fof(redefinition_m1_ring_4, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v1_xboole_0(X2)))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('field_16/field_16__t53_field_16', redefinition_m1_ring_4)).
fof(dt_k7_field_16, axiom, ![X1, X2]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>(~(v3_ring_4(k7_field_16(X1,X2),X1))&m1_ring_4(k7_field_16(X1,X2),X1,u1_struct_0(k12_polynom3(X1))))), file('field_16/field_16__t53_field_16', dt_k7_field_16)).
fof(redefinition_k7_field_16, axiom, ![X1, X2]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>k7_field_16(X1,X2)=k6_field_16(X1,X2)), file('field_16/field_16__t53_field_16', redefinition_k7_field_16)).
fof(dt_m1_field_8, axiom, ![X1, X2]:((((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))&~(v3_ring_4(X2,X1)))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>![X3]:(m1_field_8(X3,X1,X2)=>((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v1_field_4(X3,X1))&l6_algstr_0(X3)))), file('field_16/field_16__t53_field_16', dt_m1_field_8)).
fof(fc1_ring_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v2_struct_0(X2)))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), file('field_16/field_16__t53_field_16', fc1_ring_4)).
fof(fc2_ring_4, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), file('field_16/field_16__t53_field_16', fc2_ring_4)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('field_16/field_16__t53_field_16', fc2_struct_0)).
fof(t53_field_16, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>![X3]:(((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>![X4]:(m1_field_8(X4,k8_ring_3(X3),k7_field_16(k8_ring_3(X3),k1_newton(X1,X2)))=>k4_card_1(k1_field_4(k8_ring_3(X3),X4,k7_field_16(k8_ring_3(X3),k1_newton(X1,X2))))=k1_newton(X1,X2))))), file('field_16/field_16__t53_field_16', t53_field_16)).
fof(cc3_field_16, axiom, ![X1]:((~(v1_zfmisc_1(X1))&v7_ordinal1(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))&v2_field_16(X2,X1)))), file('field_16/field_16__t53_field_16', cc3_field_16)).
fof(fc13_field_16, axiom, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~(v8_ordinal1(X2)))=>v2_field_16(k1_newton(X1,X2),X1)), file('field_16/field_16__t53_field_16', fc13_field_16)).
fof(cc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~(v1_zfmisc_1(X1))&v7_ordinal1(X1))), file('field_16/field_16__t53_field_16', cc1_nat_6)).
fof(fc4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k1_newton(X1,X2))), file('field_16/field_16__t53_field_16', fc4_newton)).
fof(dt_k12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), file('field_16/field_16__t53_field_16', dt_k12_polynom3)).
fof(dt_m1_ec_pf_1, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>(((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l6_algstr_0(X2)))), file('field_16/field_16__t53_field_16', dt_m1_ec_pf_1)).
fof(dt_k8_ring_3, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>(v36_algstr_0(k8_ring_3(X1))&m1_ec_pf_1(k8_ring_3(X1),X1))), file('field_16/field_16__t53_field_16', dt_k8_ring_3)).
fof(cc5_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>(~(v2_struct_0(X1))&v1_group_1(X1)))), file('field_16/field_16__t53_field_16', cc5_vectsp_1)).
fof(t19_field_16, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((~(v3_ring_4(X3,X1))&m1_ring_4(X3,X1,u1_struct_0(k12_polynom3(X1))))=>(k4_card_1(k1_field_4(X1,X2,X3))=k1_field_1(X1,X3)<=>(r3_field_4(X1,X2,X3)&v1_field_15(X3,X1)))))), file('field_16/field_16__t53_field_16', t19_field_16)).
fof(redefinition_k1_field_1, axiom, ![X1, X2]:(((((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_uproots(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>k1_field_1(X1,X2)=k2_hurwitz(X1,X2)), file('field_16/field_16__t53_field_16', redefinition_k1_field_1)).
fof(dt_k6_field_16, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k6_field_16(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('field_16/field_16__t53_field_16', dt_k6_field_16)).
fof(fc20_field_16, axiom, ![X1, X2]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>(((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&~(v1_ratfunc1(k6_field_16(X1,X2),X1)))&v2_ratfunc1(k6_field_16(X1,X2),X1))), file('field_16/field_16__t53_field_16', fc20_field_16)).
fof(fc19_field_16, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))&~(v1_zfmisc_1(X2)))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k6_field_16(X1,X2),X1))), file('field_16/field_16__t53_field_16', fc19_field_16)).
fof(cc4_ratfunc1, axiom, ![X1]:((~(v2_struct_0(X1))&l2_struct_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))=>((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&~(v1_ratfunc1(X2,X1)))=>(((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_uproots(X2,X1))))), file('field_16/field_16__t53_field_16', cc4_ratfunc1)).
fof(fc21_field_16, axiom, ![X1, X2, X3]:(((((((((((((((((v7_ordinal1(X1)&v1_int_2(X1))&v7_ordinal1(X2))&~(v8_ordinal1(X2)))&~(v2_struct_0(X3)))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>(~(v3_ring_4(k6_field_16(X3,k1_newton(X1,X2)),X3))&v1_field_15(k6_field_16(X3,k1_newton(X1,X2)),X3))), file('field_16/field_16__t53_field_16', fc21_field_16)).
fof(l45_field_16, axiom, ![X1]:(((~(v6_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>k2_hurwitz(X1,k6_field_16(X1,X2))=X2)), file('field_16/field_16__t53_field_16', l45_field_16)).
fof(d1_field_8, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v3_ring_4(X2,X1))&m1_ring_4(X2,X1,u1_struct_0(k12_polynom3(X1))))=>![X3]:(((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v1_field_4(X3,X1))&l6_algstr_0(X3))=>(m1_field_8(X3,X1,X2)<=>(r3_field_4(X1,X3,X2)&![X4]:(((((((((((((~(v2_struct_0(X4))&~(v6_struct_0(X4)))&v13_algstr_0(X4))&v33_algstr_0(X4))&v2_rlvect_1(X4))&v3_rlvect_1(X4))&v4_rlvect_1(X4))&v4_vectsp_1(X4))&v5_vectsp_1(X4))&v3_group_1(X4))&v5_group_1(X4))&v1_field_4(X4,X1))&l6_algstr_0(X4))=>((r3_field_4(X1,X4,X2)&m1_ec_pf_1(X4,X3))=>r1_field_7(X4,X3)))))))), file('field_16/field_16__t53_field_16', d1_field_8)).
fof(cc12_ring_3, axiom, ![X1, X2]:(((((((((((((((v7_ordinal1(X1)&v1_int_2(X1))&~(v2_struct_0(X2)))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_ring_3(X2,X1))&l6_algstr_0(X2))=>![X3]:(m1_ec_pf_1(X3,X2)=>v3_ring_3(X3,X1))), file('field_16/field_16__t53_field_16', cc12_ring_3)).
fof(c_0_32, plain, ![X1]:(l4_struct_0(X1)=>(~v6_struct_0(X1)=>~v7_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc3_struct_0])).
fof(c_0_33, plain, ![X89]:(~l3_struct_0(X89)|l1_struct_0(X89)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_struct_0])])).
fof(c_0_34, plain, ![X90]:((l2_struct_0(X90)|~l4_struct_0(X90))&(l3_struct_0(X90)|~l4_struct_0(X90))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_struct_0])])])).
fof(c_0_35, plain, ![X91]:((l4_algstr_0(X91)|~l5_algstr_0(X91))&(l4_struct_0(X91)|~l5_algstr_0(X91))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_36, plain, ![X92]:((l2_algstr_0(X92)|~l6_algstr_0(X92))&(l5_algstr_0(X92)|~l6_algstr_0(X92))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_37, plain, ![X77]:(~l4_struct_0(X77)|(v6_struct_0(X77)|~v7_struct_0(X77))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])).
fof(c_0_38, plain, ![X74]:(~l1_struct_0(X74)|(~v2_struct_0(X74)|v7_struct_0(X74))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_struct_0])])).
cnf(c_0_39, plain, (l1_struct_0(X1)|~l3_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_40, plain, (l3_struct_0(X1)|~l4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_41, plain, ![X1, X2]:((((~v2_struct_0(X1)&l2_struct_0(X1))&~v1_xboole_0(X2))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m1_ring_4])).
fof(c_0_42, plain, ![X1, X2]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>(~v3_ring_4(k7_field_16(X1,X2),X1)&m1_ring_4(k7_field_16(X1,X2),X1,u1_struct_0(k12_polynom3(X1))))), inference(fof_simplification,[status(thm)],[dt_k7_field_16])).
cnf(c_0_43, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_44, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_45, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_46, plain, (v7_struct_0(X1)|~l1_struct_0(X1)|~v2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_47, plain, (l1_struct_0(X1)|~l4_struct_0(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
fof(c_0_48, plain, ![X119, X120, X121]:((~m1_ring_4(X121,X119,X120)|m1_subset_1(X121,X120)|(v2_struct_0(X119)|~l2_struct_0(X119)|v1_xboole_0(X120)|~v1_ring_4(X120,X119)))&(~m1_subset_1(X121,X120)|m1_ring_4(X121,X119,X120)|(v2_struct_0(X119)|~l2_struct_0(X119)|v1_xboole_0(X120)|~v1_ring_4(X120,X119)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])).
fof(c_0_49, plain, ![X86, X87]:((~v3_ring_4(k7_field_16(X86,X87),X86)|(v2_struct_0(X86)|v6_struct_0(X86)|~v13_algstr_0(X86)|~v2_rlvect_1(X86)|~v3_rlvect_1(X86)|~v4_rlvect_1(X86)|~v4_vectsp_1(X86)|~v5_vectsp_1(X86)|~v3_group_1(X86)|~l6_algstr_0(X86)|v1_zfmisc_1(X87)|~v7_ordinal1(X87)))&(m1_ring_4(k7_field_16(X86,X87),X86,u1_struct_0(k12_polynom3(X86)))|(v2_struct_0(X86)|v6_struct_0(X86)|~v13_algstr_0(X86)|~v2_rlvect_1(X86)|~v3_rlvect_1(X86)|~v4_rlvect_1(X86)|~v4_vectsp_1(X86)|~v5_vectsp_1(X86)|~v3_group_1(X86)|~l6_algstr_0(X86)|v1_zfmisc_1(X87)|~v7_ordinal1(X87)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
cnf(c_0_50, plain, (l2_struct_0(X1)|~l4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_51, plain, (l4_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_52, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v2_struct_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])).
fof(c_0_53, plain, ![X1, X2]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>k7_field_16(X1,X2)=k6_field_16(X1,X2)), inference(fof_simplification,[status(thm)],[redefinition_k7_field_16])).
fof(c_0_54, plain, ![X1, X2]:((((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))&~v3_ring_4(X2,X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>![X3]:(m1_field_8(X3,X1,X2)=>((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v1_field_4(X3,X1))&l6_algstr_0(X3)))), inference(fof_simplification,[status(thm)],[dt_m1_field_8])).
cnf(c_0_55, plain, (m1_subset_1(X1,X3)|v2_struct_0(X2)|v1_xboole_0(X3)|~m1_ring_4(X1,X2,X3)|~l2_struct_0(X2)|~v1_ring_4(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_56, plain, (m1_ring_4(k7_field_16(X1,X2),X1,u1_struct_0(k12_polynom3(X1)))|v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_57, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_58, plain, (v6_struct_0(X1)|~l6_algstr_0(X1)|~v2_struct_0(X1)), inference(spm,[status(thm)],[c_0_52, c_0_51])).
fof(c_0_59, plain, ![X117, X118]:(v2_struct_0(X117)|v6_struct_0(X117)|~v13_algstr_0(X117)|~v2_rlvect_1(X117)|~v3_rlvect_1(X117)|~v4_rlvect_1(X117)|~v4_vectsp_1(X117)|~v5_vectsp_1(X117)|~v3_group_1(X117)|~l6_algstr_0(X117)|v1_zfmisc_1(X118)|~v7_ordinal1(X118)|k7_field_16(X117,X118)=k6_field_16(X117,X118)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])).
fof(c_0_60, plain, ![X95, X96, X97]:(((((((((((((~v2_struct_0(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95)))))&(~v6_struct_0(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v13_algstr_0(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v33_algstr_0(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v2_rlvect_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v3_rlvect_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v4_rlvect_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v4_vectsp_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v5_vectsp_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v3_group_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v5_group_1(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(v1_field_4(X97,X95)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95))))))&(l6_algstr_0(X97)|~m1_field_8(X97,X95,X96)|(v2_struct_0(X95)|v6_struct_0(X95)|~v13_algstr_0(X95)|~v33_algstr_0(X95)|~v2_rlvect_1(X95)|~v3_rlvect_1(X95)|~v4_rlvect_1(X95)|~v4_vectsp_1(X95)|~v5_vectsp_1(X95)|~v3_group_1(X95)|~v5_group_1(X95)|~l6_algstr_0(X95)|v3_ring_4(X96,X95)|~m1_subset_1(X96,u1_struct_0(k12_polynom3(X95)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])).
cnf(c_0_61, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|m1_subset_1(k7_field_16(X1,X2),u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57]), c_0_58])).
cnf(c_0_62, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|k7_field_16(X1,X2)=k6_field_16(X1,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_63, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|~v3_ring_4(k7_field_16(X1,X2),X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_64, plain, ![X1, X2]:(((((~v2_struct_0(X1)&l2_struct_0(X1))&~v2_struct_0(X2))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), inference(fof_simplification,[status(thm)],[fc1_ring_4])).
fof(c_0_65, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), inference(fof_simplification,[status(thm)],[fc2_ring_4])).
fof(c_0_66, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
fof(c_0_67, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>![X3]:(((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>![X4]:(m1_field_8(X4,k8_ring_3(X3),k7_field_16(k8_ring_3(X3),k1_newton(X1,X2)))=>k4_card_1(k1_field_4(k8_ring_3(X3),X4,k7_field_16(k8_ring_3(X3),k1_newton(X1,X2))))=k1_newton(X1,X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t53_field_16])])).
cnf(c_0_68, plain, (v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~v6_struct_0(X1)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_69, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|m1_subset_1(k6_field_16(X1,X2),u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_58])).
cnf(c_0_70, plain, (v1_zfmisc_1(X1)|v6_struct_0(X2)|~v3_ring_4(k6_field_16(X2,X1),X2)|~l6_algstr_0(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_62]), c_0_58])).
fof(c_0_71, plain, ![X102, X103]:(v2_struct_0(X102)|~l2_struct_0(X102)|v2_struct_0(X103)|~v2_ring_4(X103,X102)|~l1_struct_0(X103)|v1_ring_4(u1_struct_0(X103),X102)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])).
fof(c_0_72, plain, ![X109]:(((~v2_struct_0(k12_polynom3(X109))|(v2_struct_0(X109)|~v13_algstr_0(X109)|~v3_rlvect_1(X109)|~v4_rlvect_1(X109)|~v5_vectsp_1(X109)|~l6_algstr_0(X109)))&(v36_algstr_0(k12_polynom3(X109))|(v2_struct_0(X109)|~v13_algstr_0(X109)|~v3_rlvect_1(X109)|~v4_rlvect_1(X109)|~v5_vectsp_1(X109)|~l6_algstr_0(X109))))&(v2_ring_4(k12_polynom3(X109),X109)|(v2_struct_0(X109)|~v13_algstr_0(X109)|~v3_rlvect_1(X109)|~v4_rlvect_1(X109)|~v5_vectsp_1(X109)|~l6_algstr_0(X109)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])).
fof(c_0_73, plain, ![X110]:(v2_struct_0(X110)|~l1_struct_0(X110)|~v1_xboole_0(u1_struct_0(X110))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])).
fof(c_0_74, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&((v7_ordinal1(esk2_0)&~v8_ordinal1(esk2_0))&(((((((((((((~v2_struct_0(esk3_0)&~v6_struct_0(esk3_0))&v13_algstr_0(esk3_0))&v33_algstr_0(esk3_0))&v2_rlvect_1(esk3_0))&v3_rlvect_1(esk3_0))&v4_rlvect_1(esk3_0))&v4_vectsp_1(esk3_0))&v5_vectsp_1(esk3_0))&v3_group_1(esk3_0))&v5_group_1(esk3_0))&v3_ring_3(esk3_0,esk1_0))&l6_algstr_0(esk3_0))&(m1_field_8(esk4_0,k8_ring_3(esk3_0),k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))&k4_card_1(k1_field_4(k8_ring_3(esk3_0),esk4_0,k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0))))!=k1_newton(esk1_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])).
fof(c_0_75, plain, ![X1]:((~v1_zfmisc_1(X1)&v7_ordinal1(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>((~v1_zfmisc_1(X2)&v7_ordinal1(X2))&v2_field_16(X2,X1)))), inference(fof_simplification,[status(thm)],[cc3_field_16])).
fof(c_0_76, plain, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~v8_ordinal1(X2))=>v2_field_16(k1_newton(X1,X2),X1)), inference(fof_simplification,[status(thm)],[fc13_field_16])).
cnf(c_0_77, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v6_struct_0(X3)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_78, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_ring_4(u1_struct_0(X2),X1)|~l2_struct_0(X1)|~v2_ring_4(X2,X1)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_79, plain, (v2_ring_4(k12_polynom3(X1),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_80, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_81, negated_conjecture, (m1_field_8(esk4_0,k8_ring_3(esk3_0),k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_82, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~v1_zfmisc_1(X1)&v7_ordinal1(X1))), inference(fof_simplification,[status(thm)],[cc1_nat_6])).
fof(c_0_83, plain, ![X75, X76]:(((~v1_zfmisc_1(X76)|(~v7_ordinal1(X76)|~v2_field_16(X76,X75))|(v1_zfmisc_1(X75)|~v7_ordinal1(X75)))&(v7_ordinal1(X76)|(~v7_ordinal1(X76)|~v2_field_16(X76,X75))|(v1_zfmisc_1(X75)|~v7_ordinal1(X75))))&(v2_field_16(X76,X75)|(~v7_ordinal1(X76)|~v2_field_16(X76,X75))|(v1_zfmisc_1(X75)|~v7_ordinal1(X75)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])).
fof(c_0_84, plain, ![X98, X99]:(~v7_ordinal1(X98)|~v7_ordinal1(X99)|v8_ordinal1(X99)|v2_field_16(k1_newton(X98,X99),X98)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])).
fof(c_0_85, plain, ![X111, X112]:(~v7_ordinal1(X111)|~v7_ordinal1(X112)|v7_ordinal1(k1_newton(X111,X112))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_newton])])).
cnf(c_0_86, plain, (v1_zfmisc_1(X1)|v6_struct_0(X2)|v2_struct_0(k12_polynom3(X2))|~l1_struct_0(k12_polynom3(X2))|~m1_field_8(X3,X2,k6_field_16(X2,X1))|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)|~v6_struct_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_87, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|m1_field_8(esk4_0,k8_ring_3(esk3_0),k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_62]), c_0_58])).
fof(c_0_88, plain, ![X73]:((~v1_zfmisc_1(X73)|(~v7_ordinal1(X73)|~v1_int_2(X73)))&(v7_ordinal1(X73)|(~v7_ordinal1(X73)|~v1_int_2(X73)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])).
cnf(c_0_89, plain, (v1_zfmisc_1(X2)|~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v2_field_16(X1,X2)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_90, plain, (v8_ordinal1(X2)|v2_field_16(k1_newton(X1,X2),X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_91, plain, (v7_ordinal1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_92, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_93, plain, (l1_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_47, c_0_51])).
cnf(c_0_94, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_95, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_96, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_97, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[dt_k12_polynom3])).
cnf(c_0_98, plain, (v1_zfmisc_1(X1)|v8_ordinal1(X2)|~v1_zfmisc_1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_91])).
cnf(c_0_99, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_92, c_0_93])).
cnf(c_0_100, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_101, negated_conjecture, (~v1_zfmisc_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_96])])).
cnf(c_0_102, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_103, plain, ![X83]:(((~v2_struct_0(k12_polynom3(X83))|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v5_vectsp_1(X83)|~l6_algstr_0(X83)))&(v36_algstr_0(k12_polynom3(X83))|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v5_vectsp_1(X83)|~l6_algstr_0(X83))))&(l6_algstr_0(k12_polynom3(X83))|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v5_vectsp_1(X83)|~l6_algstr_0(X83)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])).
cnf(c_0_104, plain, (v13_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_105, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_106, plain, (l6_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_103])).
fof(c_0_107, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>(((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l6_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_ec_pf_1])).
fof(c_0_108, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>(v36_algstr_0(k8_ring_3(X1))&m1_ec_pf_1(k8_ring_3(X1),X1))), inference(fof_simplification,[status(thm)],[dt_k8_ring_3])).
cnf(c_0_109, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v13_algstr_0(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_110, plain, (v33_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_111, plain, (v2_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_103])).
cnf(c_0_112, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_58])).
fof(c_0_113, plain, ![X93, X94]:((((((((((((~v2_struct_0(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93)))&(~v6_struct_0(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v13_algstr_0(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v33_algstr_0(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v3_group_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v5_group_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v4_vectsp_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v5_vectsp_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v2_rlvect_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v3_rlvect_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(v4_rlvect_1(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93))))&(l6_algstr_0(X94)|~m1_ec_pf_1(X94,X93)|(v2_struct_0(X93)|v6_struct_0(X93)|~v13_algstr_0(X93)|~v33_algstr_0(X93)|~v3_group_1(X93)|~v5_group_1(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~l6_algstr_0(X93)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])])).
fof(c_0_114, plain, ![X88]:((v36_algstr_0(k8_ring_3(X88))|(v2_struct_0(X88)|v6_struct_0(X88)|~v13_algstr_0(X88)|~v33_algstr_0(X88)|~v3_group_1(X88)|~v5_group_1(X88)|~v2_rlvect_1(X88)|~v3_rlvect_1(X88)|~v4_rlvect_1(X88)|~v4_vectsp_1(X88)|~v5_vectsp_1(X88)|~l6_algstr_0(X88)))&(m1_ec_pf_1(k8_ring_3(X88),X88)|(v2_struct_0(X88)|v6_struct_0(X88)|~v13_algstr_0(X88)|~v33_algstr_0(X88)|~v3_group_1(X88)|~v5_group_1(X88)|~v2_rlvect_1(X88)|~v3_rlvect_1(X88)|~v4_rlvect_1(X88)|~v4_vectsp_1(X88)|~v5_vectsp_1(X88)|~l6_algstr_0(X88)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])).
cnf(c_0_115, plain, (v1_zfmisc_1(X1)|v13_algstr_0(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_116, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v33_algstr_0(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_117, plain, (v2_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_118, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_58])).
cnf(c_0_119, plain, (v5_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_120, plain, (m1_ec_pf_1(k8_ring_3(X1),X1)|v2_struct_0(X1)|v6_struct_0(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_121, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_115, c_0_87])).
cnf(c_0_122, plain, (v1_zfmisc_1(X1)|v33_algstr_0(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_123, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v2_rlvect_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_124, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_125, plain, (v5_group_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_58])).
cnf(c_0_126, negated_conjecture, (l6_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_127, negated_conjecture, (v5_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_128, negated_conjecture, (v3_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_129, negated_conjecture, (v5_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_130, negated_conjecture, (v4_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_131, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_132, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_133, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_134, negated_conjecture, (v33_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_135, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_136, negated_conjecture, (~v6_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_137, plain, (v33_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_138, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_121, c_0_93])).
cnf(c_0_139, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_122, c_0_87])).
cnf(c_0_140, plain, (v1_zfmisc_1(X1)|v2_rlvect_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_141, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_142, plain, (v33_algstr_0(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_120]), c_0_58])).
cnf(c_0_143, plain, (v3_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_144, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_138]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_145, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_139, c_0_93])).
cnf(c_0_146, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_140, c_0_87])).
cnf(c_0_147, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_148, plain, (v3_group_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_120]), c_0_58])).
cnf(c_0_149, plain, (v2_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_150, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_106]), c_0_58])).
cnf(c_0_151, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_145]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_152, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_146, c_0_93])).
cnf(c_0_153, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_154, plain, (v2_rlvect_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_120]), c_0_58])).
cnf(c_0_155, plain, (v4_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_156, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_150]), c_0_58])).
cnf(c_0_157, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_106]), c_0_58])).
cnf(c_0_158, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_152]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_159, plain, (v3_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_160, plain, (v2_struct_0(X2)|v6_struct_0(X2)|~v6_struct_0(X1)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_161, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_162, plain, (v4_vectsp_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_120]), c_0_58])).
cnf(c_0_163, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_164, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_157]), c_0_58])).
cnf(c_0_165, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_106]), c_0_58])).
cnf(c_0_166, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v3_rlvect_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_167, plain, (v4_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_168, plain, (v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v6_struct_0(k8_ring_3(X1))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_120]), c_0_58])).
cnf(c_0_169, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_170, plain, (v5_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_171, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_172, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_173, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_165]), c_0_58])).
cnf(c_0_174, plain, (v1_zfmisc_1(X1)|v3_rlvect_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_175, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v4_rlvect_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_176, plain, (v4_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_177, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_178, plain, (v5_vectsp_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_120]), c_0_58])).
cnf(c_0_179, plain, (v4_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
fof(c_0_180, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
cnf(c_0_181, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_182, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_183, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_184, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_174, c_0_87])).
cnf(c_0_185, plain, (v1_zfmisc_1(X1)|v4_rlvect_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_186, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v4_vectsp_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_187, plain, (v5_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_188, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_189, plain, (v4_rlvect_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_120]), c_0_58])).
cnf(c_0_190, plain, (v3_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
fof(c_0_191, plain, ![X80]:((~v2_struct_0(X80)|(v2_struct_0(X80)|~v4_vectsp_1(X80))|~l4_algstr_0(X80))&(v1_group_1(X80)|(v2_struct_0(X80)|~v4_vectsp_1(X80))|~l4_algstr_0(X80))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_180])])])).
cnf(c_0_192, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_193, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_194, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_195, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_184, c_0_93])).
cnf(c_0_196, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_185, c_0_87])).
cnf(c_0_197, plain, (v1_zfmisc_1(X1)|v4_vectsp_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_198, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v5_vectsp_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_199, plain, (v3_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_200, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((~v3_ring_4(X3,X1)&m1_ring_4(X3,X1,u1_struct_0(k12_polynom3(X1))))=>(k4_card_1(k1_field_4(X1,X2,X3))=k1_field_1(X1,X3)<=>(r3_field_4(X1,X2,X3)&v1_field_15(X3,X1)))))), inference(fof_simplification,[status(thm)],[t19_field_16])).
cnf(c_0_201, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_202, plain, (v3_rlvect_1(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_120]), c_0_58])).
cnf(c_0_203, plain, (v13_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
fof(c_0_204, plain, ![X1, X2]:(((((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_uproots(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>k1_field_1(X1,X2)=k2_hurwitz(X1,X2)), inference(fof_simplification,[status(thm)],[redefinition_k1_field_1])).
fof(c_0_205, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k6_field_16(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k6_field_16])).
fof(c_0_206, plain, ![X1, X2]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>(((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&~v1_ratfunc1(k6_field_16(X1,X2),X1))&v2_ratfunc1(k6_field_16(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc20_field_16])).
fof(c_0_207, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))&~v1_zfmisc_1(X2))&v7_ordinal1(X2))=>((v1_funct_1(k6_field_16(X1,X2))&v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k6_field_16(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc19_field_16])).
cnf(c_0_208, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_191])).
cnf(c_0_209, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_210, plain, ![X1]:((~v2_struct_0(X1)&l2_struct_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))=>((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&~v1_ratfunc1(X2,X1))=>(((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_uproots(X2,X1))))), inference(fof_simplification,[status(thm)],[cc4_ratfunc1])).
cnf(c_0_211, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_212, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_213, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_214, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_195]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_215, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_196, c_0_93])).
cnf(c_0_216, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_197, c_0_87])).
cnf(c_0_217, plain, (v1_zfmisc_1(X1)|v5_vectsp_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_218, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v3_group_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_219, plain, (v5_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_220, plain, ![X122, X123, X124]:(((r3_field_4(X122,X123,X124)|k4_card_1(k1_field_4(X122,X123,X124))!=k1_field_1(X122,X124)|(v3_ring_4(X124,X122)|~m1_ring_4(X124,X122,u1_struct_0(k12_polynom3(X122))))|(v2_struct_0(X123)|v6_struct_0(X123)|~v13_algstr_0(X123)|~v33_algstr_0(X123)|~v2_rlvect_1(X123)|~v3_rlvect_1(X123)|~v4_rlvect_1(X123)|~v4_vectsp_1(X123)|~v5_vectsp_1(X123)|~v3_group_1(X123)|~v5_group_1(X123)|~v1_field_4(X123,X122)|~l6_algstr_0(X123))|(v2_struct_0(X122)|v6_struct_0(X122)|~v13_algstr_0(X122)|~v33_algstr_0(X122)|~v2_rlvect_1(X122)|~v3_rlvect_1(X122)|~v4_rlvect_1(X122)|~v4_vectsp_1(X122)|~v5_vectsp_1(X122)|~v3_group_1(X122)|~v5_group_1(X122)|~l6_algstr_0(X122)))&(v1_field_15(X124,X122)|k4_card_1(k1_field_4(X122,X123,X124))!=k1_field_1(X122,X124)|(v3_ring_4(X124,X122)|~m1_ring_4(X124,X122,u1_struct_0(k12_polynom3(X122))))|(v2_struct_0(X123)|v6_struct_0(X123)|~v13_algstr_0(X123)|~v33_algstr_0(X123)|~v2_rlvect_1(X123)|~v3_rlvect_1(X123)|~v4_rlvect_1(X123)|~v4_vectsp_1(X123)|~v5_vectsp_1(X123)|~v3_group_1(X123)|~v5_group_1(X123)|~v1_field_4(X123,X122)|~l6_algstr_0(X123))|(v2_struct_0(X122)|v6_struct_0(X122)|~v13_algstr_0(X122)|~v33_algstr_0(X122)|~v2_rlvect_1(X122)|~v3_rlvect_1(X122)|~v4_rlvect_1(X122)|~v4_vectsp_1(X122)|~v5_vectsp_1(X122)|~v3_group_1(X122)|~v5_group_1(X122)|~l6_algstr_0(X122))))&(~r3_field_4(X122,X123,X124)|~v1_field_15(X124,X122)|k4_card_1(k1_field_4(X122,X123,X124))=k1_field_1(X122,X124)|(v3_ring_4(X124,X122)|~m1_ring_4(X124,X122,u1_struct_0(k12_polynom3(X122))))|(v2_struct_0(X123)|v6_struct_0(X123)|~v13_algstr_0(X123)|~v33_algstr_0(X123)|~v2_rlvect_1(X123)|~v3_rlvect_1(X123)|~v4_rlvect_1(X123)|~v4_vectsp_1(X123)|~v5_vectsp_1(X123)|~v3_group_1(X123)|~v5_group_1(X123)|~v1_field_4(X123,X122)|~l6_algstr_0(X123))|(v2_struct_0(X122)|v6_struct_0(X122)|~v13_algstr_0(X122)|~v33_algstr_0(X122)|~v2_rlvect_1(X122)|~v3_rlvect_1(X122)|~v4_rlvect_1(X122)|~v4_vectsp_1(X122)|~v5_vectsp_1(X122)|~v3_group_1(X122)|~v5_group_1(X122)|~l6_algstr_0(X122)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_200])])])])).
cnf(c_0_221, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_222, plain, (v13_algstr_0(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203, c_0_120]), c_0_58])).
cnf(c_0_223, plain, (l6_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
fof(c_0_224, plain, ![X115, X116]:(v2_struct_0(X115)|v6_struct_0(X115)|~v13_algstr_0(X115)|~v4_vectsp_1(X115)|~v5_vectsp_1(X115)|~v2_rlvect_1(X115)|~v3_rlvect_1(X115)|~v4_rlvect_1(X115)|~v3_group_1(X115)|~l6_algstr_0(X115)|~v1_funct_1(X116)|~v1_funct_2(X116,k4_ordinal1,u1_struct_0(X115))|~v1_polynom1(X116,X115)|~v1_uproots(X116,X115)|~m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X115))))|k1_field_1(X115,X116)=k2_hurwitz(X115,X116)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_204])])).
fof(c_0_225, plain, ![X84, X85]:(((v1_funct_1(k6_field_16(X84,X85))|(v2_struct_0(X84)|~v1_group_1(X84)|~l6_algstr_0(X84)|v1_zfmisc_1(X85)|~v7_ordinal1(X85)))&(v1_funct_2(k6_field_16(X84,X85),k4_ordinal1,u1_struct_0(X84))|(v2_struct_0(X84)|~v1_group_1(X84)|~l6_algstr_0(X84)|v1_zfmisc_1(X85)|~v7_ordinal1(X85))))&(m1_subset_1(k6_field_16(X84,X85),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X84))))|(v2_struct_0(X84)|~v1_group_1(X84)|~l6_algstr_0(X84)|v1_zfmisc_1(X85)|~v7_ordinal1(X85)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_205])])])).
fof(c_0_226, plain, ![X104, X105]:((((v1_funct_1(k6_field_16(X104,X105))|(v2_struct_0(X104)|v6_struct_0(X104)|~v13_algstr_0(X104)|~v2_rlvect_1(X104)|~v3_rlvect_1(X104)|~v4_rlvect_1(X104)|~v4_vectsp_1(X104)|~v5_vectsp_1(X104)|~v3_group_1(X104)|~l6_algstr_0(X104)|v1_zfmisc_1(X105)|~v7_ordinal1(X105)))&(v1_funct_2(k6_field_16(X104,X105),k4_ordinal1,u1_struct_0(X104))|(v2_struct_0(X104)|v6_struct_0(X104)|~v13_algstr_0(X104)|~v2_rlvect_1(X104)|~v3_rlvect_1(X104)|~v4_rlvect_1(X104)|~v4_vectsp_1(X104)|~v5_vectsp_1(X104)|~v3_group_1(X104)|~l6_algstr_0(X104)|v1_zfmisc_1(X105)|~v7_ordinal1(X105))))&(~v1_ratfunc1(k6_field_16(X104,X105),X104)|(v2_struct_0(X104)|v6_struct_0(X104)|~v13_algstr_0(X104)|~v2_rlvect_1(X104)|~v3_rlvect_1(X104)|~v4_rlvect_1(X104)|~v4_vectsp_1(X104)|~v5_vectsp_1(X104)|~v3_group_1(X104)|~l6_algstr_0(X104)|v1_zfmisc_1(X105)|~v7_ordinal1(X105))))&(v2_ratfunc1(k6_field_16(X104,X105),X104)|(v2_struct_0(X104)|v6_struct_0(X104)|~v13_algstr_0(X104)|~v2_rlvect_1(X104)|~v3_rlvect_1(X104)|~v4_rlvect_1(X104)|~v4_vectsp_1(X104)|~v5_vectsp_1(X104)|~v3_group_1(X104)|~l6_algstr_0(X104)|v1_zfmisc_1(X105)|~v7_ordinal1(X105)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_206])])])).
fof(c_0_227, plain, ![X100, X101]:(((v1_funct_1(k6_field_16(X100,X101))|(v2_struct_0(X100)|~v1_group_1(X100)|~l6_algstr_0(X100)|v1_zfmisc_1(X101)|~v7_ordinal1(X101)))&(v1_funct_2(k6_field_16(X100,X101),k4_ordinal1,u1_struct_0(X100))|(v2_struct_0(X100)|~v1_group_1(X100)|~l6_algstr_0(X100)|v1_zfmisc_1(X101)|~v7_ordinal1(X101))))&(v1_polynom1(k6_field_16(X100,X101),X100)|(v2_struct_0(X100)|~v1_group_1(X100)|~l6_algstr_0(X100)|v1_zfmisc_1(X101)|~v7_ordinal1(X101)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_207])])])).
cnf(c_0_228, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l5_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_208, c_0_209])).
fof(c_0_229, plain, ![X78, X79]:((((v1_funct_1(X79)|(~v1_funct_1(X79)|~v1_funct_2(X79,k4_ordinal1,u1_struct_0(X78))|~v1_polynom1(X79,X78)|v1_ratfunc1(X79,X78))|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X78))))|(v2_struct_0(X78)|~l2_struct_0(X78)))&(v1_funct_2(X79,k4_ordinal1,u1_struct_0(X78))|(~v1_funct_1(X79)|~v1_funct_2(X79,k4_ordinal1,u1_struct_0(X78))|~v1_polynom1(X79,X78)|v1_ratfunc1(X79,X78))|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X78))))|(v2_struct_0(X78)|~l2_struct_0(X78))))&(v1_polynom1(X79,X78)|(~v1_funct_1(X79)|~v1_funct_2(X79,k4_ordinal1,u1_struct_0(X78))|~v1_polynom1(X79,X78)|v1_ratfunc1(X79,X78))|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X78))))|(v2_struct_0(X78)|~l2_struct_0(X78))))&(v1_uproots(X79,X78)|(~v1_funct_1(X79)|~v1_funct_2(X79,k4_ordinal1,u1_struct_0(X78))|~v1_polynom1(X79,X78)|v1_ratfunc1(X79,X78))|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X78))))|(v2_struct_0(X78)|~l2_struct_0(X78)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_210])])])])).
cnf(c_0_230, negated_conjecture, (v13_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_231, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_232, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_233, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_106]), c_0_58])).
cnf(c_0_234, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_215]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_235, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_216, c_0_93])).
cnf(c_0_236, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_217, c_0_87])).
cnf(c_0_237, plain, (v1_zfmisc_1(X1)|v3_group_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_238, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v5_group_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_239, plain, (l6_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_240, plain, (k4_card_1(k1_field_4(X1,X2,X3))=k1_field_1(X1,X3)|v3_ring_4(X3,X1)|v2_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X1)|v6_struct_0(X1)|~r3_field_4(X1,X2,X3)|~v1_field_15(X3,X1)|~m1_ring_4(X3,X1,u1_struct_0(k12_polynom3(X1)))|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_220])).
cnf(c_0_241, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_242, plain, (l6_algstr_0(k8_ring_3(X1))|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223, c_0_120]), c_0_58])).
cnf(c_0_243, plain, (v2_struct_0(X1)|v6_struct_0(X1)|k1_field_1(X1,X2)=k2_hurwitz(X1,X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~v1_uproots(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_224])).
cnf(c_0_244, plain, (m1_subset_1(k6_field_16(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_225])).
cnf(c_0_245, plain, (v1_funct_1(k6_field_16(X1,X2))|v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_226])).
cnf(c_0_246, plain, (v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_226])).
cnf(c_0_247, plain, (v1_polynom1(k6_field_16(X1,X2),X1)|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_227])).
cnf(c_0_248, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_228, c_0_44])).
cnf(c_0_249, plain, (v1_uproots(X1,X2)|v1_ratfunc1(X1,X2)|v2_struct_0(X2)|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(X2))|~v1_polynom1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~l2_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_229])).
cnf(c_0_250, plain, (v1_funct_1(k6_field_16(X1,X2))|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_225])).
cnf(c_0_251, plain, (v1_funct_2(k6_field_16(X1,X2),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|v1_zfmisc_1(X2)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_225])).
cnf(c_0_252, negated_conjecture, (v13_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_230]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_253, negated_conjecture, (v33_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_254, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_255, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_233]), c_0_58])).
cnf(c_0_256, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234, c_0_106]), c_0_58])).
cnf(c_0_257, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_235]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_258, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_236, c_0_93])).
cnf(c_0_259, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_237, c_0_87])).
cnf(c_0_260, plain, (v1_zfmisc_1(X1)|v5_group_1(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_261, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|l6_algstr_0(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X3,X1,k6_field_16(X1,X2))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_262, negated_conjecture, (k4_card_1(k1_field_4(k8_ring_3(esk3_0),esk4_0,k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0))))!=k1_newton(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_263, plain, (k4_card_1(k1_field_4(X1,X2,k7_field_16(X1,X3)))=k1_field_1(X1,k7_field_16(X1,X3))|v3_ring_4(k7_field_16(X1,X3),X1)|v1_zfmisc_1(X3)|v6_struct_0(X1)|v6_struct_0(X2)|~v1_field_15(k7_field_16(X1,X3),X1)|~r3_field_4(X1,X2,k7_field_16(X1,X3))|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~l6_algstr_0(X1)|~v5_group_1(X2)|~v5_group_1(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v5_vectsp_1(X2)|~v5_vectsp_1(X1)|~v4_vectsp_1(X2)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X2)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240, c_0_56]), c_0_58]), c_0_58])).
cnf(c_0_264, negated_conjecture, (~v6_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
fof(c_0_265, plain, ![X1, X2, X3]:(((((((((((((((((v7_ordinal1(X1)&v1_int_2(X1))&v7_ordinal1(X2))&~v8_ordinal1(X2))&~v2_struct_0(X3))&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v3_ring_3(X3,X1))&l6_algstr_0(X3))=>(~v3_ring_4(k6_field_16(X3,k1_newton(X1,X2)),X3)&v1_field_15(k6_field_16(X3,k1_newton(X1,X2)),X3))), inference(fof_simplification,[status(thm)],[fc21_field_16])).
fof(c_0_266, plain, ![X1]:(((~v6_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>k2_hurwitz(X1,k6_field_16(X1,X2))=X2)), inference(fof_simplification,[status(thm)],[l45_field_16])).
cnf(c_0_267, plain, (k2_hurwitz(X1,k6_field_16(X1,X2))=k1_field_1(X1,k6_field_16(X1,X2))|v1_zfmisc_1(X2)|v6_struct_0(X1)|~v1_uproots(k6_field_16(X1,X2),X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_244]), c_0_245]), c_0_246]), c_0_247]), c_0_248]), c_0_58])).
cnf(c_0_268, plain, (v1_uproots(k6_field_16(X1,X2),X1)|v1_ratfunc1(k6_field_16(X1,X2),X1)|v1_zfmisc_1(X2)|v2_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249, c_0_244]), c_0_57]), c_0_250]), c_0_251]), c_0_247])).
cnf(c_0_269, negated_conjecture, (v13_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_270, negated_conjecture, (v33_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_253]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_271, negated_conjecture, (v2_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_272, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_273, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_256]), c_0_58])).
cnf(c_0_274, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257, c_0_106]), c_0_58])).
cnf(c_0_275, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_258]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_276, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_259, c_0_93])).
cnf(c_0_277, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_260, c_0_87])).
cnf(c_0_278, plain, (v1_zfmisc_1(X1)|l6_algstr_0(X2)|v6_struct_0(X3)|v2_struct_0(k12_polynom3(X3))|~l1_struct_0(k12_polynom3(X3))|~m1_field_8(X2,X3,k6_field_16(X3,X1))|~l6_algstr_0(X3)|~v5_group_1(X3)|~v3_group_1(X3)|~v5_vectsp_1(X3)|~v4_vectsp_1(X3)|~v4_rlvect_1(X3)|~v3_rlvect_1(X3)|~v2_rlvect_1(X3)|~v33_algstr_0(X3)|~v13_algstr_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_279, negated_conjecture, (v3_ring_4(k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)),k8_ring_3(esk3_0))|v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|k1_field_1(k8_ring_3(esk3_0),k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))!=k1_newton(esk1_0,esk2_0)|~v1_field_15(k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)),k8_ring_3(esk3_0))|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k7_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(esk4_0)|~v33_algstr_0(k8_ring_3(esk3_0))|~v33_algstr_0(esk4_0)|~v13_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262, c_0_263]), c_0_264])).
fof(c_0_280, plain, ![X106, X107, X108]:((~v3_ring_4(k6_field_16(X108,k1_newton(X106,X107)),X108)|(~v7_ordinal1(X106)|~v1_int_2(X106)|~v7_ordinal1(X107)|v8_ordinal1(X107)|v2_struct_0(X108)|v6_struct_0(X108)|~v13_algstr_0(X108)|~v33_algstr_0(X108)|~v2_rlvect_1(X108)|~v3_rlvect_1(X108)|~v4_rlvect_1(X108)|~v4_vectsp_1(X108)|~v5_vectsp_1(X108)|~v3_group_1(X108)|~v5_group_1(X108)|~v3_ring_3(X108,X106)|~l6_algstr_0(X108)))&(v1_field_15(k6_field_16(X108,k1_newton(X106,X107)),X108)|(~v7_ordinal1(X106)|~v1_int_2(X106)|~v7_ordinal1(X107)|v8_ordinal1(X107)|v2_struct_0(X108)|v6_struct_0(X108)|~v13_algstr_0(X108)|~v33_algstr_0(X108)|~v2_rlvect_1(X108)|~v3_rlvect_1(X108)|~v4_rlvect_1(X108)|~v4_vectsp_1(X108)|~v5_vectsp_1(X108)|~v3_group_1(X108)|~v5_group_1(X108)|~v3_ring_3(X108,X106)|~l6_algstr_0(X108)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_265])])])).
fof(c_0_281, plain, ![X113, X114]:(v6_struct_0(X113)|~v1_group_1(X113)|~l6_algstr_0(X113)|(v1_zfmisc_1(X114)|~v7_ordinal1(X114)|k2_hurwitz(X113,k6_field_16(X113,X114))=X114)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_266])])])).
cnf(c_0_282, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_zfmisc_1(X2)|~v1_ratfunc1(k6_field_16(X1,X2),X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_226])).
cnf(c_0_283, plain, (k2_hurwitz(X1,k6_field_16(X1,X2))=k1_field_1(X1,k6_field_16(X1,X2))|v1_ratfunc1(k6_field_16(X1,X2),X1)|v1_zfmisc_1(X2)|v6_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_268]), c_0_248]), c_0_58])).
cnf(c_0_284, negated_conjecture, (v13_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_285, negated_conjecture, (v33_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_286, negated_conjecture, (v2_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_271]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_287, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_288, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_289, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_274]), c_0_58])).
cnf(c_0_290, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275, c_0_106]), c_0_58])).
cnf(c_0_291, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_276]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_292, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_277, c_0_93])).
cnf(c_0_293, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_278, c_0_87])).
cnf(c_0_294, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|k1_field_1(k8_ring_3(esk3_0),k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))!=k1_newton(esk1_0,esk2_0)|~v1_field_15(k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)),k8_ring_3(esk3_0))|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(esk4_0)|~v33_algstr_0(k8_ring_3(esk3_0))|~v33_algstr_0(esk4_0)|~v13_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279, c_0_62]), c_0_58]), c_0_70])).
cnf(c_0_295, plain, (v1_field_15(k6_field_16(X1,k1_newton(X2,X3)),X1)|v8_ordinal1(X3)|v2_struct_0(X1)|v6_struct_0(X1)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v3_ring_3(X1,X2)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_280])).
cnf(c_0_296, plain, (v6_struct_0(X1)|v1_zfmisc_1(X2)|k2_hurwitz(X1,k6_field_16(X1,X2))=X2|~v1_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_281])).
cnf(c_0_297, plain, (k2_hurwitz(X1,k6_field_16(X1,X2))=k1_field_1(X1,k6_field_16(X1,X2))|v1_zfmisc_1(X2)|v6_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282, c_0_283]), c_0_58])).
cnf(c_0_298, negated_conjecture, (v13_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_299, negated_conjecture, (v33_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_300, negated_conjecture, (v2_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
fof(c_0_301, plain, ![X1, X2]:(epred1_2(X2,X1)<=>![X3]:(((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v1_field_4(X3,X1))&l6_algstr_0(X3))=>(m1_field_8(X3,X1,X2)<=>(r3_field_4(X1,X3,X2)&![X4]:(((((((((((((~v2_struct_0(X4)&~v6_struct_0(X4))&v13_algstr_0(X4))&v33_algstr_0(X4))&v2_rlvect_1(X4))&v3_rlvect_1(X4))&v4_rlvect_1(X4))&v4_vectsp_1(X4))&v5_vectsp_1(X4))&v3_group_1(X4))&v5_group_1(X4))&v1_field_4(X4,X1))&l6_algstr_0(X4))=>((r3_field_4(X1,X4,X2)&m1_ec_pf_1(X4,X3))=>r1_field_7(X4,X3))))))), introduced(definition)).
cnf(c_0_302, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_303, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_304, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_305, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_290]), c_0_58])).
cnf(c_0_306, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291, c_0_106]), c_0_58])).
cnf(c_0_307, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_292]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_308, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_293, c_0_93])).
cnf(c_0_309, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|k1_field_1(k8_ring_3(esk3_0),k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))!=k1_newton(esk1_0,esk2_0)|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v3_ring_3(k8_ring_3(esk3_0),esk1_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(esk4_0)|~v33_algstr_0(k8_ring_3(esk3_0))|~v33_algstr_0(esk4_0)|~v13_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294, c_0_295]), c_0_95]), c_0_100]), c_0_96])]), c_0_102]), c_0_58])).
cnf(c_0_310, plain, (k1_field_1(X1,k6_field_16(X1,X2))=X2|v1_zfmisc_1(X2)|v6_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_296, c_0_297])).
cnf(c_0_311, negated_conjecture, (v13_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_312, negated_conjecture, (v33_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_313, negated_conjecture, (v2_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
fof(c_0_314, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~v3_ring_4(X2,X1)&m1_ring_4(X2,X1,u1_struct_0(k12_polynom3(X1))))=>epred1_2(X2,X1))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_field_8]), c_0_301])).
cnf(c_0_315, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_316, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_317, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_318, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_319, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_306]), c_0_58])).
cnf(c_0_320, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307, c_0_106]), c_0_58])).
cnf(c_0_321, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_308]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_322, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~v1_group_1(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v3_ring_3(k8_ring_3(esk3_0),esk1_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(esk4_0)|~v33_algstr_0(k8_ring_3(esk3_0))|~v33_algstr_0(esk4_0)|~v13_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(esk4_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_309, c_0_310])).
cnf(c_0_323, negated_conjecture, (v13_algstr_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_324, negated_conjecture, (v33_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_325, negated_conjecture, (v2_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
fof(c_0_326, plain, ![X1, X2]:(epred1_2(X2,X1)=>![X3]:(((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&v1_field_4(X3,X1))&l6_algstr_0(X3))=>(m1_field_8(X3,X1,X2)<=>(r3_field_4(X1,X3,X2)&![X4]:(((((((((((((~v2_struct_0(X4)&~v6_struct_0(X4))&v13_algstr_0(X4))&v33_algstr_0(X4))&v2_rlvect_1(X4))&v3_rlvect_1(X4))&v4_rlvect_1(X4))&v4_vectsp_1(X4))&v5_vectsp_1(X4))&v3_group_1(X4))&v5_group_1(X4))&v1_field_4(X4,X1))&l6_algstr_0(X4))=>((r3_field_4(X1,X4,X2)&m1_ec_pf_1(X4,X3))=>r1_field_7(X4,X3))))))), inference(split_equiv,[status(thm)],[c_0_301])).
fof(c_0_327, plain, ![X81, X82]:(v2_struct_0(X81)|v6_struct_0(X81)|~v13_algstr_0(X81)|~v33_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v4_vectsp_1(X81)|~v5_vectsp_1(X81)|~v3_group_1(X81)|~v5_group_1(X81)|~l6_algstr_0(X81)|(v3_ring_4(X82,X81)|~m1_ring_4(X82,X81,u1_struct_0(k12_polynom3(X81)))|epred1_2(X82,X81))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_314])])])).
cnf(c_0_328, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_329, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_330, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_331, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_332, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_333, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_320]), c_0_58])).
cnf(c_0_334, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321, c_0_106]), c_0_58])).
cnf(c_0_335, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~v1_group_1(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v3_ring_3(k8_ring_3(esk3_0),esk1_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(esk4_0)|~v33_algstr_0(k8_ring_3(esk3_0))|~v33_algstr_0(esk4_0)|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_322, c_0_323])])).
cnf(c_0_336, negated_conjecture, (v33_algstr_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_337, negated_conjecture, (v2_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
fof(c_0_338, plain, ![X125, X126, X127, X128]:(((r3_field_4(X125,X127,X126)|~m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125))&(v2_struct_0(X128)|v6_struct_0(X128)|~v13_algstr_0(X128)|~v33_algstr_0(X128)|~v2_rlvect_1(X128)|~v3_rlvect_1(X128)|~v4_rlvect_1(X128)|~v4_vectsp_1(X128)|~v5_vectsp_1(X128)|~v3_group_1(X128)|~v5_group_1(X128)|~v1_field_4(X128,X125)|~l6_algstr_0(X128)|(~r3_field_4(X125,X128,X126)|~m1_ec_pf_1(X128,X127)|r1_field_7(X128,X127))|~m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&((((((((((((((~v2_struct_0(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125))&(~v6_struct_0(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v13_algstr_0(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v33_algstr_0(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v2_rlvect_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v3_rlvect_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v4_rlvect_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v4_vectsp_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v5_vectsp_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v3_group_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v5_group_1(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(v1_field_4(esk5_3(X125,X126,X127),X125)|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(l6_algstr_0(esk5_3(X125,X126,X127))|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(((r3_field_4(X125,esk5_3(X125,X126,X127),X126)|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125))&(m1_ec_pf_1(esk5_3(X125,X126,X127),X127)|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125)))&(~r1_field_7(esk5_3(X125,X126,X127),X127)|~r3_field_4(X125,X127,X126)|m1_field_8(X127,X125,X126)|(v2_struct_0(X127)|v6_struct_0(X127)|~v13_algstr_0(X127)|~v33_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v4_vectsp_1(X127)|~v5_vectsp_1(X127)|~v3_group_1(X127)|~v5_group_1(X127)|~v1_field_4(X127,X125)|~l6_algstr_0(X127))|~epred1_2(X126,X125))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_326])])])])])).
cnf(c_0_339, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v3_ring_4(X2,X1)|epred1_2(X2,X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~m1_ring_4(X2,X1,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_327])).
cnf(c_0_340, plain, (m1_ring_4(k6_field_16(X1,X2),X1,u1_struct_0(k12_polynom3(X1)))|v1_zfmisc_1(X2)|v6_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_62]), c_0_58])).
fof(c_0_341, plain, ![X1, X2]:(((((((((((((((v7_ordinal1(X1)&v1_int_2(X1))&~v2_struct_0(X2))&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_ring_3(X2,X1))&l6_algstr_0(X2))=>![X3]:(m1_ec_pf_1(X3,X2)=>v3_ring_3(X3,X1))), inference(fof_simplification,[status(thm)],[cc12_ring_3])).
cnf(c_0_342, negated_conjecture, (v3_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_343, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_344, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_345, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_346, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_347, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_348, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_334]), c_0_58])).
cnf(c_0_349, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~v1_group_1(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v3_ring_3(k8_ring_3(esk3_0),esk1_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(esk4_0)|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335, c_0_336])])).
cnf(c_0_350, negated_conjecture, (v2_rlvect_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_351, plain, (r3_field_4(X1,X2,X3)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_field_8(X2,X1,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~epred1_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_338])).
cnf(c_0_352, plain, (epred1_2(k6_field_16(X1,X2),X1)|v1_zfmisc_1(X2)|v6_struct_0(X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339, c_0_340]), c_0_58]), c_0_70])).
fof(c_0_353, plain, ![X70, X71, X72]:(~v7_ordinal1(X70)|~v1_int_2(X70)|v2_struct_0(X71)|v6_struct_0(X71)|~v13_algstr_0(X71)|~v33_algstr_0(X71)|~v3_group_1(X71)|~v5_group_1(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_ring_3(X71,X70)|~l6_algstr_0(X71)|(~m1_ec_pf_1(X72,X71)|v3_ring_3(X72,X70))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_341])])])).
cnf(c_0_354, negated_conjecture, (v3_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_342]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_355, negated_conjecture, (v4_rlvect_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_356, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_357, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_358, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_359, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_360, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_361, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~r3_field_4(k8_ring_3(esk3_0),esk4_0,k6_field_16(k8_ring_3(esk3_0),k1_newton(esk1_0,esk2_0)))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~v1_group_1(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v3_ring_3(k8_ring_3(esk3_0),esk1_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349, c_0_350])])).
cnf(c_0_362, plain, (r3_field_4(X1,X2,k6_field_16(X1,X3))|v1_zfmisc_1(X3)|v6_struct_0(X1)|v6_struct_0(X2)|~v1_field_4(X2,X1)|~m1_field_8(X2,X1,k6_field_16(X1,X3))|~l6_algstr_0(X2)|~l6_algstr_0(X1)|~v5_group_1(X2)|~v5_group_1(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v5_vectsp_1(X2)|~v5_vectsp_1(X1)|~v4_vectsp_1(X2)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X2)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351, c_0_352]), c_0_58])).
cnf(c_0_363, plain, (v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_3(X3,X1)|~v7_ordinal1(X1)|~v1_int_2(X1)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_ring_3(X2,X1)|~l6_algstr_0(X2)|~m1_ec_pf_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_353])).
cnf(c_0_364, negated_conjecture, (v3_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_365, negated_conjecture, (v4_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_355]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_366, negated_conjecture, (v4_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_367, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_368, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_369, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_370, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_371, plain, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~v1_group_1(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v3_ring_3(k8_ring_3(esk3_0),esk1_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361, c_0_362]), c_0_350]), c_0_336]), c_0_323])]), c_0_264]), c_0_87])).
cnf(c_0_372, plain, (v3_ring_3(k8_ring_3(X1),X2)|v6_struct_0(X1)|~l6_algstr_0(X1)|~v3_ring_3(X1,X2)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v1_int_2(X2)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363, c_0_120]), c_0_58])).
cnf(c_0_373, negated_conjecture, (v3_ring_3(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_374, negated_conjecture, (v3_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_375, negated_conjecture, (v4_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_376, negated_conjecture, (v4_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_366]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_377, negated_conjecture, (v5_vectsp_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_378, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_379, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_380, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_381, plain, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~v1_group_1(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371, c_0_372]), c_0_126]), c_0_373]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135]), c_0_95]), c_0_96])]), c_0_136])).
cnf(c_0_382, negated_conjecture, (v3_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_383, negated_conjecture, (v4_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_384, negated_conjecture, (v4_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_385, negated_conjecture, (v5_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_377]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_386, negated_conjecture, (v3_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_387, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_388, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_389, plain, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381, c_0_248]), c_0_58])).
cnf(c_0_390, negated_conjecture, (v3_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_391, negated_conjecture, (v4_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_392, negated_conjecture, (v4_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_393, negated_conjecture, (v5_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_394, negated_conjecture, (v3_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_386]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_395, negated_conjecture, (v5_group_1(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_396, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_397, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(esk4_0)|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_389]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_398, negated_conjecture, (v3_rlvect_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_399, negated_conjecture, (v4_rlvect_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_400, negated_conjecture, (v4_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_401, negated_conjecture, (v5_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_402, negated_conjecture, (v3_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_403, negated_conjecture, (v5_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_395]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_404, negated_conjecture, (l6_algstr_0(esk4_0)|v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_405, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v4_rlvect_1(esk4_0)|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397, c_0_398])])).
cnf(c_0_406, negated_conjecture, (v4_rlvect_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_407, negated_conjecture, (v4_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_408, negated_conjecture, (v5_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_409, negated_conjecture, (v3_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_410, negated_conjecture, (v5_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_411, negated_conjecture, (l6_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_404]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_412, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(esk4_0)|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405, c_0_406])])).
cnf(c_0_413, negated_conjecture, (v4_vectsp_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_414, negated_conjecture, (v5_vectsp_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_415, negated_conjecture, (v3_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_416, negated_conjecture, (v5_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_417, negated_conjecture, (l6_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_418, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v5_vectsp_1(esk4_0)|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_412, c_0_413])])).
cnf(c_0_419, negated_conjecture, (v5_vectsp_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_420, negated_conjecture, (v3_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_421, negated_conjecture, (v5_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_422, negated_conjecture, (l6_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_423, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v3_group_1(esk4_0)|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418, c_0_419])])).
cnf(c_0_424, negated_conjecture, (v3_group_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_425, negated_conjecture, (v5_group_1(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_426, negated_conjecture, (l6_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_427, plain, (v1_field_4(X1,X2)|v2_struct_0(X2)|v6_struct_0(X2)|v3_ring_4(X3,X2)|~m1_field_8(X1,X2,X3)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X2)))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_428, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v5_group_1(esk4_0)|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_423, c_0_424])])).
cnf(c_0_429, negated_conjecture, (v5_group_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_430, negated_conjecture, (l6_algstr_0(esk4_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_431, plain, (v1_xboole_0(u1_struct_0(k12_polynom3(X1)))|v1_field_4(X2,X1)|v1_zfmisc_1(X3)|v6_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|~m1_field_8(X2,X1,k6_field_16(X1,X3))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427, c_0_69]), c_0_58]), c_0_70])).
cnf(c_0_432, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~l6_algstr_0(esk4_0)|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428, c_0_429])])).
cnf(c_0_433, negated_conjecture, (l6_algstr_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_434, plain, (v1_field_4(X1,X2)|v1_zfmisc_1(X3)|v6_struct_0(X2)|v2_struct_0(k12_polynom3(X2))|~l1_struct_0(k12_polynom3(X2))|~m1_field_8(X1,X2,k6_field_16(X2,X3))|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431, c_0_78]), c_0_57]), c_0_79]), c_0_58]), c_0_80])).
cnf(c_0_435, plain, (v6_struct_0(k8_ring_3(esk3_0))|~v1_field_4(esk4_0,k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432, c_0_433])])).
cnf(c_0_436, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l1_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434, c_0_87]), c_0_435])).
cnf(c_0_437, negated_conjecture, (v1_zfmisc_1(k1_newton(esk1_0,esk2_0))|v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_436, c_0_93])).
cnf(c_0_438, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_437]), c_0_96]), c_0_100])]), c_0_101]), c_0_102])).
cnf(c_0_439, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|v2_struct_0(k12_polynom3(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438, c_0_106]), c_0_58])).
cnf(c_0_440, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_439]), c_0_58])).
cnf(c_0_441, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_group_1(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440, c_0_91]), c_0_100]), c_0_96])])).
cnf(c_0_442, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v33_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_443, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v3_group_1(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442, c_0_142]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_444, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v2_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443, c_0_148]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_445, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444, c_0_154]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_446, negated_conjecture, (v6_struct_0(k8_ring_3(esk3_0))|~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445, c_0_162]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_447, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v5_vectsp_1(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_446]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_448, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v4_rlvect_1(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447, c_0_178]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_449, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v3_rlvect_1(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_448, c_0_189]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_450, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))|~v13_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449, c_0_202]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_451, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450, c_0_222]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136])).
cnf(c_0_452, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451, c_0_242]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), c_0_135])]), c_0_136]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 453
# Proof object clause steps            : 360
# Proof object formula steps           : 93
# Proof object conjectures             : 234
# Proof object clause conjectures      : 231
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 79
# Proof object initial formulas used   : 32
# Proof object generating inferences   : 271
# Proof object simplifying inferences  : 1872
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 32
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 118
# Removed in clause preprocessing      : 7
# Initial clauses in saturation        : 111
# Processed clauses                    : 641
# ...of these trivial                  : 3
# ...subsumed                          : 70
# ...remaining for further processing  : 568
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 204
# Backward-rewritten                   : 38
# Generated clauses                    : 424
# ...of the previous two non-trivial   : 438
# Contextual simplify-reflections      : 248
# Paramodulations                      : 424
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 219
#    Positive orientable unit clauses  : 25
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 8
#    Non-unit-clauses                  : 186
# Current number of unprocessed clauses: 14
# ...number of literals in the above   : 405
# Current number of archived formulas  : 0
# Current number of archived clauses   : 349
# Clause-clause subsumption calls (NU) : 235241
# Rec. Clause-clause subsumption calls : 1783
# Non-unit clause-clause subsumptions  : 518
# Unit Clause-clause subsumption calls : 1987
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 10
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 50200

# -------------------------------------------------
# User time                : 0.144 s
# System time              : 0.004 s
# Total time               : 0.148 s
# Maximum resident set size: 3484 pages
