# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic SAT002_MinMin_rr
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.031 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__l65_field_16', cc5_vectsp_1)).
fof(d6_field_16, axiom, ![X1]:(((((((((~(v2_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))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>(X2=k5_field_16(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k2_binom(X1,X3,k3_ring_3(X1)))))), file('field_16/field_16__l65_field_16', d6_field_16)).
fof(dt_k5_field_16, axiom, ![X1]:(((((((((~(v2_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_funct_1(k5_field_16(X1))&v1_funct_2(k5_field_16(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k5_field_16(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('field_16/field_16__l65_field_16', dt_k5_field_16)).
fof(t27_field_16, axiom, ![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))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k3_ring_3(X3)=X1)))), file('field_16/field_16__l65_field_16', t27_field_16)).
fof(l65_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))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>(k3_funct_2(u1_struct_0(X3),u1_struct_0(X3),k5_field_16(X3),X4)=X4<=>r1_struct_0(k8_ring_3(X3),X4))))))), file('field_16/field_16__l65_field_16', l65_field_16)).
fof(d10_polynom5, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))=>(X3=k7_polynom5(X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r2_tarski(X4,X3)<=>r1_polynom5(X1,X2,X4))))))), file('field_16/field_16__l65_field_16', d10_polynom5)).
fof(dt_k7_polynom5, axiom, ![X1, X2]:(((((((~(v2_struct_0(X1))&v1_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))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>m1_subset_1(k7_polynom5(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))), file('field_16/field_16__l65_field_16', dt_k7_polynom5)).
fof(l63_field_16, axiom, ![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))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k7_polynom5(X3,k7_field_16(X3,X1))=u1_struct_0(k8_ring_3(X3)))))), file('field_16/field_16__l65_field_16', l63_field_16)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__l65_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__l65_field_16', dt_l6_algstr_0)).
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__l65_field_16', cc1_nat_6)).
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__l65_field_16', redefinition_k7_field_16)).
fof(t34_field_16, axiom, ![X1]:(((((((((((~(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))&v1_group_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_polynom5(X1,k7_field_16(X1,X2),X3)<=>k2_binom(X1,X3,X2)=X3)))), file('field_16/field_16__l65_field_16', t34_field_16)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('field_16/field_16__l65_field_16', redefinition_r2_tarski)).
fof(d5_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(r1_struct_0(X1,X2)<=>r2_hidden(X2,u1_struct_0(X1)))), file('field_16/field_16__l65_field_16', d5_struct_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__l65_field_16', dt_l2_struct_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('field_16/field_16__l65_field_16', dt_l2_algstr_0)).
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__l65_field_16', dt_k6_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__l65_field_16', fc19_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__l65_field_16', fc20_field_16)).
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__l65_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__l65_field_16', dt_k8_ring_3)).
fof(c_0_22, 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])).
fof(c_0_23, plain, ![X1]:(((((((((~v2_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))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>(X2=k5_field_16(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k2_binom(X1,X3,k3_ring_3(X1)))))), inference(fof_simplification,[status(thm)],[d6_field_16])).
fof(c_0_24, plain, ![X1]:(((((((((~v2_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_funct_1(k5_field_16(X1))&v1_funct_2(k5_field_16(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k5_field_16(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k5_field_16])).
fof(c_0_25, plain, ![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))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k3_ring_3(X3)=X1)))), inference(fof_simplification,[status(thm)],[t27_field_16])).
fof(c_0_26, 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))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>(k3_funct_2(u1_struct_0(X3),u1_struct_0(X3),k5_field_16(X3),X4)=X4<=>r1_struct_0(k8_ring_3(X3),X4)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l65_field_16])])).
fof(c_0_27, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))=>(X3=k7_polynom5(X1,X2)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r2_tarski(X4,X3)<=>r1_polynom5(X1,X2,X4))))))), inference(fof_simplification,[status(thm)],[d10_polynom5])).
fof(c_0_28, plain, ![X1, X2]:(((((((~v2_struct_0(X1)&v1_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))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>m1_subset_1(k7_polynom5(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[dt_k7_polynom5])).
fof(c_0_29, plain, ![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))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k7_polynom5(X3,k7_field_16(X3,X1))=u1_struct_0(k8_ring_3(X3)))))), inference(fof_simplification,[status(thm)],[l63_field_16])).
fof(c_0_30, plain, ![X54]:((~v2_struct_0(X54)|(v2_struct_0(X54)|~v4_vectsp_1(X54))|~l4_algstr_0(X54))&(v1_group_1(X54)|(v2_struct_0(X54)|~v4_vectsp_1(X54))|~l4_algstr_0(X54))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_31, plain, ![X74]:((l4_algstr_0(X74)|~l5_algstr_0(X74))&(l4_struct_0(X74)|~l5_algstr_0(X74))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_32, plain, ![X62, X63, X64]:((X63!=k5_field_16(X62)|(~m1_subset_1(X64,u1_struct_0(X62))|k3_funct_2(u1_struct_0(X62),u1_struct_0(X62),X63,X64)=k2_binom(X62,X64,k3_ring_3(X62)))|(~v1_funct_1(X63)|~v1_funct_2(X63,u1_struct_0(X62),u1_struct_0(X62))|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X62),u1_struct_0(X62)))))|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v4_vectsp_1(X62)|~v5_vectsp_1(X62)|~v3_group_1(X62)|~l6_algstr_0(X62)))&((m1_subset_1(esk6_2(X62,X63),u1_struct_0(X62))|X63=k5_field_16(X62)|(~v1_funct_1(X63)|~v1_funct_2(X63,u1_struct_0(X62),u1_struct_0(X62))|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X62),u1_struct_0(X62)))))|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v4_vectsp_1(X62)|~v5_vectsp_1(X62)|~v3_group_1(X62)|~l6_algstr_0(X62)))&(k3_funct_2(u1_struct_0(X62),u1_struct_0(X62),X63,esk6_2(X62,X63))!=k2_binom(X62,esk6_2(X62,X63),k3_ring_3(X62))|X63=k5_field_16(X62)|(~v1_funct_1(X63)|~v1_funct_2(X63,u1_struct_0(X62),u1_struct_0(X62))|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X62),u1_struct_0(X62)))))|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v4_vectsp_1(X62)|~v5_vectsp_1(X62)|~v3_group_1(X62)|~l6_algstr_0(X62))))), 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_23])])])])])).
fof(c_0_33, plain, ![X66]:(((v1_funct_1(k5_field_16(X66))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v2_rlvect_1(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v4_vectsp_1(X66)|~v5_vectsp_1(X66)|~v3_group_1(X66)|~l6_algstr_0(X66)))&(v1_funct_2(k5_field_16(X66),u1_struct_0(X66),u1_struct_0(X66))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v2_rlvect_1(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v4_vectsp_1(X66)|~v5_vectsp_1(X66)|~v3_group_1(X66)|~l6_algstr_0(X66))))&(m1_subset_1(k5_field_16(X66),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66))))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v2_rlvect_1(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v4_vectsp_1(X66)|~v5_vectsp_1(X66)|~v3_group_1(X66)|~l6_algstr_0(X66)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_34, plain, ![X89, X90, X91]:(~v7_ordinal1(X89)|~v1_int_2(X89)|(~v7_ordinal1(X90)|v8_ordinal1(X90)|(v2_struct_0(X91)|v6_struct_0(X91)|~v13_algstr_0(X91)|~v33_algstr_0(X91)|~v2_rlvect_1(X91)|~v3_rlvect_1(X91)|~v4_rlvect_1(X91)|~v4_vectsp_1(X91)|~v5_vectsp_1(X91)|~v3_group_1(X91)|~v5_group_1(X91)|~l6_algstr_0(X91)|(k7_struct_0(X91)!=k1_newton(X89,X90)|k3_ring_3(X91)=X89)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_35, 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))&l6_algstr_0(esk3_0))&(k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_0)&(m1_subset_1(esk4_0,u1_struct_0(esk3_0))&((k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k5_field_16(esk3_0),esk4_0)!=esk4_0|~r1_struct_0(k8_ring_3(esk3_0),esk4_0))&(k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k5_field_16(esk3_0),esk4_0)=esk4_0|r1_struct_0(k8_ring_3(esk3_0),esk4_0)))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
fof(c_0_36, plain, ![X55, X56, X57, X58]:(((~r2_tarski(X58,X57)|r1_polynom5(X55,X56,X58)|~m1_subset_1(X58,u1_struct_0(X55))|X57!=k7_polynom5(X55,X56)|~m1_subset_1(X57,k1_zfmisc_1(u1_struct_0(X55)))|(~v1_funct_1(X56)|~v1_funct_2(X56,k4_ordinal1,u1_struct_0(X55))|~v1_polynom1(X56,X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X55)))))|(v2_struct_0(X55)|~v1_group_1(X55)|~l6_algstr_0(X55)))&(~r1_polynom5(X55,X56,X58)|r2_tarski(X58,X57)|~m1_subset_1(X58,u1_struct_0(X55))|X57!=k7_polynom5(X55,X56)|~m1_subset_1(X57,k1_zfmisc_1(u1_struct_0(X55)))|(~v1_funct_1(X56)|~v1_funct_2(X56,k4_ordinal1,u1_struct_0(X55))|~v1_polynom1(X56,X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X55)))))|(v2_struct_0(X55)|~v1_group_1(X55)|~l6_algstr_0(X55))))&((m1_subset_1(esk5_3(X55,X56,X57),u1_struct_0(X55))|X57=k7_polynom5(X55,X56)|~m1_subset_1(X57,k1_zfmisc_1(u1_struct_0(X55)))|(~v1_funct_1(X56)|~v1_funct_2(X56,k4_ordinal1,u1_struct_0(X55))|~v1_polynom1(X56,X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X55)))))|(v2_struct_0(X55)|~v1_group_1(X55)|~l6_algstr_0(X55)))&((~r2_tarski(esk5_3(X55,X56,X57),X57)|~r1_polynom5(X55,X56,esk5_3(X55,X56,X57))|X57=k7_polynom5(X55,X56)|~m1_subset_1(X57,k1_zfmisc_1(u1_struct_0(X55)))|(~v1_funct_1(X56)|~v1_funct_2(X56,k4_ordinal1,u1_struct_0(X55))|~v1_polynom1(X56,X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X55)))))|(v2_struct_0(X55)|~v1_group_1(X55)|~l6_algstr_0(X55)))&(r2_tarski(esk5_3(X55,X56,X57),X57)|r1_polynom5(X55,X56,esk5_3(X55,X56,X57))|X57=k7_polynom5(X55,X56)|~m1_subset_1(X57,k1_zfmisc_1(u1_struct_0(X55)))|(~v1_funct_1(X56)|~v1_funct_2(X56,k4_ordinal1,u1_struct_0(X55))|~v1_polynom1(X56,X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X55)))))|(v2_struct_0(X55)|~v1_group_1(X55)|~l6_algstr_0(X55)))))), 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_27])])])])])).
fof(c_0_37, plain, ![X69, X70]:(v2_struct_0(X69)|~v1_group_1(X69)|~l6_algstr_0(X69)|~v1_funct_1(X70)|~v1_funct_2(X70,k4_ordinal1,u1_struct_0(X69))|~v1_polynom1(X70,X69)|~m1_subset_1(X70,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X69))))|m1_subset_1(k7_polynom5(X69,X70),k1_zfmisc_1(u1_struct_0(X69)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])).
fof(c_0_38, plain, ![X82, X83, X84]:(~v7_ordinal1(X82)|~v1_int_2(X82)|(~v7_ordinal1(X83)|v8_ordinal1(X83)|(v2_struct_0(X84)|v6_struct_0(X84)|~v13_algstr_0(X84)|~v33_algstr_0(X84)|~v2_rlvect_1(X84)|~v3_rlvect_1(X84)|~v4_rlvect_1(X84)|~v4_vectsp_1(X84)|~v5_vectsp_1(X84)|~v3_group_1(X84)|~v5_group_1(X84)|~l6_algstr_0(X84)|(k7_struct_0(X84)!=k1_newton(X82,X83)|k7_polynom5(X84,k7_field_16(X84,X82))=u1_struct_0(k8_ring_3(X84)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
cnf(c_0_39, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_40, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_41, plain, ![X75]:((l2_algstr_0(X75)|~l6_algstr_0(X75))&(l5_algstr_0(X75)|~l6_algstr_0(X75))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_42, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~v1_zfmisc_1(X1)&v7_ordinal1(X1))), inference(fof_simplification,[status(thm)],[cc1_nat_6])).
cnf(c_0_43, plain, (k3_funct_2(u1_struct_0(X2),u1_struct_0(X2),X1,X3)=k2_binom(X2,X3,k3_ring_3(X2))|v2_struct_0(X2)|X1!=k5_field_16(X2)|~m1_subset_1(X3,u1_struct_0(X2))|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2))))|~v13_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)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_44, plain, (m1_subset_1(k5_field_16(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_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)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_45, plain, (v1_funct_1(k5_field_16(X1))|v2_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)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_46, plain, (v1_funct_2(k5_field_16(X1),u1_struct_0(X1),u1_struct_0(X1))|v2_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)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_47, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k3_ring_3(X3)=X1|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~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)|~l6_algstr_0(X3)|k7_struct_0(X3)!=k1_newton(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_48, negated_conjecture, (k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_49, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_50, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_51, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_52, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_53, plain, (r2_tarski(X3,X4)|v2_struct_0(X1)|~r1_polynom5(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|X4!=k7_polynom5(X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_54, plain, (v2_struct_0(X1)|m1_subset_1(k7_polynom5(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))|~v1_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)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_55, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k7_polynom5(X3,k7_field_16(X3,X1))=u1_struct_0(k8_ring_3(X3))|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~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)|~l6_algstr_0(X3)|k7_struct_0(X3)!=k1_newton(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_56, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l5_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_57, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_58, 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_59, plain, ![X53]:((~v1_zfmisc_1(X53)|(~v7_ordinal1(X53)|~v1_int_2(X53)))&(v7_ordinal1(X53)|(~v7_ordinal1(X53)|~v1_int_2(X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
fof(c_0_60, plain, ![X1]:(((((((((((~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))&v1_group_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_polynom5(X1,k7_field_16(X1,X2),X3)<=>k2_binom(X1,X3,X2)=X3)))), inference(fof_simplification,[status(thm)],[t34_field_16])).
cnf(c_0_61, plain, (r1_polynom5(X3,X4,X1)|v2_struct_0(X3)|~r2_tarski(X1,X2)|~m1_subset_1(X1,u1_struct_0(X3))|X2!=k7_polynom5(X3,X4)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))|~v1_funct_1(X4)|~v1_funct_2(X4,k4_ordinal1,u1_struct_0(X3))|~v1_polynom1(X4,X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X3))))|~v1_group_1(X3)|~l6_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_62, plain, ![X87, X88]:((~r2_tarski(X87,X88)|r2_hidden(X87,X88))&(~r2_hidden(X87,X88)|r2_tarski(X87,X88))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_63, plain, ![X60, X61]:((~r1_struct_0(X60,X61)|r2_hidden(X61,u1_struct_0(X60))|~l1_struct_0(X60))&(~r2_hidden(X61,u1_struct_0(X60))|r1_struct_0(X60,X61)|~l1_struct_0(X60))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_struct_0])])])])).
cnf(c_0_64, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k5_field_16(X1),X2)=k2_binom(X1,X2,k3_ring_3(X1))|v2_struct_0(X1)|~m1_subset_1(X2,u1_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)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_43]), c_0_44]), c_0_45]), c_0_46])).
cnf(c_0_65, negated_conjecture, (k3_ring_3(X1)=esk1_0|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk3_0)|~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(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_47, c_0_48]), c_0_49]), c_0_50]), c_0_51])]), c_0_52])).
fof(c_0_66, plain, ![X73]:(~l2_struct_0(X73)|l1_struct_0(X73)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_67, plain, ![X72]:((l2_struct_0(X72)|~l2_algstr_0(X72))&(l1_algstr_0(X72)|~l2_algstr_0(X72))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
cnf(c_0_68, plain, (r2_tarski(X1,k7_polynom5(X2,X3))|v2_struct_0(X2)|~r1_polynom5(X2,X3,X1)|~v1_polynom1(X3,X2)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X2))|~v1_funct_1(X3)|~v1_group_1(X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~m1_subset_1(X1,u1_struct_0(X2))|~l6_algstr_0(X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_53]), c_0_54])).
cnf(c_0_69, negated_conjecture, (k7_polynom5(X1,k7_field_16(X1,esk1_0))=u1_struct_0(k8_ring_3(X1))|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk3_0)|~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(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_55, c_0_48]), c_0_49]), c_0_50]), c_0_51])]), c_0_52])).
cnf(c_0_70, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_56, c_0_57])).
fof(c_0_71, plain, ![X85, X86]:(v2_struct_0(X85)|v6_struct_0(X85)|~v13_algstr_0(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~v3_group_1(X85)|~l6_algstr_0(X85)|v1_zfmisc_1(X86)|~v7_ordinal1(X86)|k7_field_16(X85,X86)=k6_field_16(X85,X86)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])).
cnf(c_0_72, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_73, 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_74, plain, ![X92, X93, X94]:((~r1_polynom5(X92,k7_field_16(X92,X93),X94)|k2_binom(X92,X94,X93)=X94|~m1_subset_1(X94,u1_struct_0(X92))|(v1_zfmisc_1(X93)|~v7_ordinal1(X93))|(v2_struct_0(X92)|v6_struct_0(X92)|~v13_algstr_0(X92)|~v2_rlvect_1(X92)|~v3_rlvect_1(X92)|~v4_rlvect_1(X92)|~v4_vectsp_1(X92)|~v5_vectsp_1(X92)|~v1_group_1(X92)|~v3_group_1(X92)|~l6_algstr_0(X92)))&(k2_binom(X92,X94,X93)!=X94|r1_polynom5(X92,k7_field_16(X92,X93),X94)|~m1_subset_1(X94,u1_struct_0(X92))|(v1_zfmisc_1(X93)|~v7_ordinal1(X93))|(v2_struct_0(X92)|v6_struct_0(X92)|~v13_algstr_0(X92)|~v2_rlvect_1(X92)|~v3_rlvect_1(X92)|~v4_rlvect_1(X92)|~v4_vectsp_1(X92)|~v5_vectsp_1(X92)|~v1_group_1(X92)|~v3_group_1(X92)|~l6_algstr_0(X92)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])).
cnf(c_0_75, plain, (r1_polynom5(X1,X2,X3)|v2_struct_0(X1)|~r2_tarski(X3,k7_polynom5(X1,X2))|~v1_polynom1(X2,X1)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_funct_1(X2)|~v1_group_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~m1_subset_1(X3,u1_struct_0(X1))|~l6_algstr_0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_61]), c_0_54])).
cnf(c_0_76, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_77, plain, (r2_hidden(X2,u1_struct_0(X1))|~r1_struct_0(X1,X2)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_78, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k5_field_16(esk3_0),esk4_0)=esk4_0|r1_struct_0(k8_ring_3(esk3_0),esk4_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_79, negated_conjecture, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X1),k5_field_16(X1),X2)=k2_binom(X1,X2,esk1_0)|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk3_0)|~m1_subset_1(X2,u1_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(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_80, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_81, negated_conjecture, (l6_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_82, negated_conjecture, (v5_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_83, negated_conjecture, (v3_group_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_84, negated_conjecture, (v5_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_85, negated_conjecture, (v4_vectsp_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_86, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_87, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_88, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_89, negated_conjecture, (v33_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_90, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_91, negated_conjecture, (~v6_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_92, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_93, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_94, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_95, negated_conjecture, (r2_tarski(X1,u1_struct_0(k8_ring_3(X2)))|v6_struct_0(X2)|v2_struct_0(X2)|k7_struct_0(X2)!=k7_struct_0(esk3_0)|~r1_polynom5(X2,k7_field_16(X2,esk1_0),X1)|~v1_polynom1(k7_field_16(X2,esk1_0),X2)|~v1_funct_2(k7_field_16(X2,esk1_0),k4_ordinal1,u1_struct_0(X2))|~v1_funct_1(k7_field_16(X2,esk1_0))|~m1_subset_1(k7_field_16(X2,esk1_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~m1_subset_1(X1,u1_struct_0(X2))|~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)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])).
cnf(c_0_96, 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_71])).
cnf(c_0_97, negated_conjecture, (~v1_zfmisc_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_49]), c_0_51])])).
fof(c_0_98, plain, ![X67, X68]:(((v1_funct_1(k6_field_16(X67,X68))|(v2_struct_0(X67)|~v1_group_1(X67)|~l6_algstr_0(X67)|v1_zfmisc_1(X68)|~v7_ordinal1(X68)))&(v1_funct_2(k6_field_16(X67,X68),k4_ordinal1,u1_struct_0(X67))|(v2_struct_0(X67)|~v1_group_1(X67)|~l6_algstr_0(X67)|v1_zfmisc_1(X68)|~v7_ordinal1(X68))))&(m1_subset_1(k6_field_16(X67,X68),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X67))))|(v2_struct_0(X67)|~v1_group_1(X67)|~l6_algstr_0(X67)|v1_zfmisc_1(X68)|~v7_ordinal1(X68)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])).
cnf(c_0_99, plain, (r1_polynom5(X1,k7_field_16(X1,X3),X2)|v1_zfmisc_1(X3)|v2_struct_0(X1)|v6_struct_0(X1)|k2_binom(X1,X2,X3)!=X2|~m1_subset_1(X2,u1_struct_0(X1))|~v7_ordinal1(X3)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v1_group_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_100, negated_conjecture, (r1_polynom5(X1,k7_field_16(X1,esk1_0),X2)|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk3_0)|~r2_tarski(X2,u1_struct_0(k8_ring_3(X1)))|~v1_polynom1(k7_field_16(X1,esk1_0),X1)|~v1_funct_2(k7_field_16(X1,esk1_0),k4_ordinal1,u1_struct_0(X1))|~v1_funct_1(k7_field_16(X1,esk1_0))|~m1_subset_1(k7_field_16(X1,esk1_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~m1_subset_1(X2,u1_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_75, c_0_69]), c_0_70])).
cnf(c_0_101, plain, (r2_tarski(X1,u1_struct_0(X2))|~l1_struct_0(X2)|~r1_struct_0(X2,X1)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_102, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|r1_struct_0(k8_ring_3(esk3_0),esk4_0)), inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_78, c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90])]), c_0_91]), c_0_92])).
cnf(c_0_103, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_104, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_105, negated_conjecture, (r2_tarski(X1,u1_struct_0(k8_ring_3(X2)))|v6_struct_0(X2)|v2_struct_0(X2)|k7_struct_0(X2)!=k7_struct_0(esk3_0)|~r1_polynom5(X2,k6_field_16(X2,esk1_0),X1)|~v1_polynom1(k6_field_16(X2,esk1_0),X2)|~v1_funct_2(k6_field_16(X2,esk1_0),k4_ordinal1,u1_struct_0(X2))|~v1_funct_1(k6_field_16(X2,esk1_0))|~m1_subset_1(k6_field_16(X2,esk1_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~m1_subset_1(X1,u1_struct_0(X2))|~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)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_51])]), c_0_97])).
cnf(c_0_106, 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_98])).
cnf(c_0_107, plain, (r1_polynom5(X1,k7_field_16(X1,X2),X3)|v1_zfmisc_1(X2)|v6_struct_0(X1)|v2_struct_0(X1)|k2_binom(X1,X3,X2)!=X3|~m1_subset_1(X3,u1_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)],[c_0_99, c_0_70])).
fof(c_0_108, 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_109, plain, (k2_binom(X1,X3,X2)=X3|v1_zfmisc_1(X2)|v2_struct_0(X1)|v6_struct_0(X1)|~r1_polynom5(X1,k7_field_16(X1,X2),X3)|~m1_subset_1(X3,u1_struct_0(X1))|~v7_ordinal1(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)|~v1_group_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_110, negated_conjecture, (r1_polynom5(X1,k6_field_16(X1,esk1_0),X2)|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk3_0)|~r2_tarski(X2,u1_struct_0(k8_ring_3(X1)))|~v1_polynom1(k6_field_16(X1,esk1_0),X1)|~v1_funct_2(k6_field_16(X1,esk1_0),k4_ordinal1,u1_struct_0(X1))|~v1_funct_1(k6_field_16(X1,esk1_0))|~m1_subset_1(k6_field_16(X1,esk1_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~m1_subset_1(X2,u1_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_96]), c_0_51])]), c_0_97])).
cnf(c_0_111, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|r2_tarski(esk4_0,u1_struct_0(k8_ring_3(esk3_0)))|~l1_struct_0(k8_ring_3(esk3_0))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
cnf(c_0_112, plain, (l1_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_103, c_0_104])).
cnf(c_0_113, plain, (r1_struct_0(X2,X1)|~r2_hidden(X1,u1_struct_0(X2))|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_114, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_115, negated_conjecture, (r2_tarski(X1,u1_struct_0(k8_ring_3(X2)))|v6_struct_0(X2)|v2_struct_0(X2)|k7_struct_0(X2)!=k7_struct_0(esk3_0)|~r1_polynom5(X2,k6_field_16(X2,esk1_0),X1)|~v1_polynom1(k6_field_16(X2,esk1_0),X2)|~v1_funct_2(k6_field_16(X2,esk1_0),k4_ordinal1,u1_struct_0(X2))|~v1_funct_1(k6_field_16(X2,esk1_0))|~m1_subset_1(X1,u1_struct_0(X2))|~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)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_51])]), c_0_97]), c_0_70])).
cnf(c_0_116, plain, (r1_polynom5(X1,k6_field_16(X1,X2),X3)|v1_zfmisc_1(X2)|v6_struct_0(X1)|v2_struct_0(X1)|k2_binom(X1,X3,X2)!=X3|~m1_subset_1(X3,u1_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(spm,[status(thm)],[c_0_107, c_0_96])).
fof(c_0_117, plain, ![X78, X79]:(((v1_funct_1(k6_field_16(X78,X79))|(v2_struct_0(X78)|~v1_group_1(X78)|~l6_algstr_0(X78)|v1_zfmisc_1(X79)|~v7_ordinal1(X79)))&(v1_funct_2(k6_field_16(X78,X79),k4_ordinal1,u1_struct_0(X78))|(v2_struct_0(X78)|~v1_group_1(X78)|~l6_algstr_0(X78)|v1_zfmisc_1(X79)|~v7_ordinal1(X79))))&(v1_polynom1(k6_field_16(X78,X79),X78)|(v2_struct_0(X78)|~v1_group_1(X78)|~l6_algstr_0(X78)|v1_zfmisc_1(X79)|~v7_ordinal1(X79)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])).
fof(c_0_118, 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])).
cnf(c_0_119, plain, (k2_binom(X1,X2,X3)=X2|v1_zfmisc_1(X3)|v6_struct_0(X1)|v2_struct_0(X1)|~r1_polynom5(X1,k7_field_16(X1,X3),X2)|~m1_subset_1(X2,u1_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(X3)), inference(csr,[status(thm)],[c_0_109, c_0_70])).
cnf(c_0_120, negated_conjecture, (r1_polynom5(X1,k6_field_16(X1,esk1_0),X2)|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk3_0)|~r2_tarski(X2,u1_struct_0(k8_ring_3(X1)))|~v1_polynom1(k6_field_16(X1,esk1_0),X1)|~v1_funct_2(k6_field_16(X1,esk1_0),k4_ordinal1,u1_struct_0(X1))|~v1_funct_1(k6_field_16(X1,esk1_0))|~m1_subset_1(X2,u1_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_106]), c_0_51])]), c_0_97]), c_0_70])).
cnf(c_0_121, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|r2_tarski(esk4_0,u1_struct_0(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))), inference(spm,[status(thm)],[c_0_111, c_0_112])).
cnf(c_0_122, negated_conjecture, (k3_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk3_0),k5_field_16(esk3_0),esk4_0)!=esk4_0|~r1_struct_0(k8_ring_3(esk3_0),esk4_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_123, plain, (r1_struct_0(X1,X2)|~l1_struct_0(X1)|~r2_tarski(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_124, negated_conjecture, (r2_tarski(X1,u1_struct_0(k8_ring_3(X2)))|v6_struct_0(X2)|v2_struct_0(X2)|k7_struct_0(X2)!=k7_struct_0(esk3_0)|k2_binom(X2,X1,esk1_0)!=X1|~v1_polynom1(k6_field_16(X2,esk1_0),X2)|~v1_funct_2(k6_field_16(X2,esk1_0),k4_ordinal1,u1_struct_0(X2))|~v1_funct_1(k6_field_16(X2,esk1_0))|~m1_subset_1(X1,u1_struct_0(X2))|~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)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_116]), c_0_51])]), c_0_97])).
cnf(c_0_125, 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_117])).
fof(c_0_126, plain, ![X80, X81]:((((v1_funct_1(k6_field_16(X80,X81))|(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~l6_algstr_0(X80)|v1_zfmisc_1(X81)|~v7_ordinal1(X81)))&(v1_funct_2(k6_field_16(X80,X81),k4_ordinal1,u1_struct_0(X80))|(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~l6_algstr_0(X80)|v1_zfmisc_1(X81)|~v7_ordinal1(X81))))&(~v1_ratfunc1(k6_field_16(X80,X81),X80)|(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~l6_algstr_0(X80)|v1_zfmisc_1(X81)|~v7_ordinal1(X81))))&(v2_ratfunc1(k6_field_16(X80,X81),X80)|(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~l6_algstr_0(X80)|v1_zfmisc_1(X81)|~v7_ordinal1(X81)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])])).
cnf(c_0_127, plain, (k2_binom(X1,X2,X3)=X2|v1_zfmisc_1(X3)|v6_struct_0(X1)|v2_struct_0(X1)|~r1_polynom5(X1,k6_field_16(X1,X3),X2)|~m1_subset_1(X2,u1_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(X3)), inference(spm,[status(thm)],[c_0_119, c_0_96])).
cnf(c_0_128, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|r1_polynom5(esk3_0,k6_field_16(esk3_0,esk1_0),esk4_0)|~v1_polynom1(k6_field_16(esk3_0,esk1_0),esk3_0)|~v1_funct_2(k6_field_16(esk3_0,esk1_0),k4_ordinal1,u1_struct_0(esk3_0))|~v1_funct_1(k6_field_16(esk3_0,esk1_0))|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_120, c_0_121]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90])]), c_0_91]), c_0_92])).
cnf(c_0_129, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)!=esk4_0|~r1_struct_0(k8_ring_3(esk3_0),esk4_0)), inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_122, c_0_79]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90])]), c_0_91]), c_0_92])).
cnf(c_0_130, plain, (r1_struct_0(X1,X2)|~r2_tarski(X2,u1_struct_0(X1))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_123, c_0_112])).
cnf(c_0_131, negated_conjecture, (r2_tarski(X1,u1_struct_0(k8_ring_3(X2)))|v6_struct_0(X2)|v2_struct_0(X2)|k7_struct_0(X2)!=k7_struct_0(esk3_0)|k2_binom(X2,X1,esk1_0)!=X1|~v1_funct_2(k6_field_16(X2,esk1_0),k4_ordinal1,u1_struct_0(X2))|~v1_funct_1(k6_field_16(X2,esk1_0))|~m1_subset_1(X1,u1_struct_0(X2))|~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)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_51])]), c_0_97]), c_0_70])).
cnf(c_0_132, 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_126])).
cnf(c_0_133, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|~v1_polynom1(k6_field_16(esk3_0,esk1_0),esk3_0)|~v1_funct_2(k6_field_16(esk3_0,esk1_0),k4_ordinal1,u1_struct_0(esk3_0))|~v1_funct_1(k6_field_16(esk3_0,esk1_0))|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_127, c_0_128]), c_0_80]), c_0_81]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_90]), c_0_51])]), c_0_97]), c_0_91]), c_0_92])).
cnf(c_0_134, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)!=esk4_0|~r2_tarski(esk4_0,u1_struct_0(k8_ring_3(esk3_0)))|~l6_algstr_0(k8_ring_3(esk3_0))), inference(spm,[status(thm)],[c_0_129, c_0_130])).
cnf(c_0_135, negated_conjecture, (r2_tarski(X1,u1_struct_0(k8_ring_3(X2)))|v6_struct_0(X2)|v2_struct_0(X2)|k7_struct_0(X2)!=k7_struct_0(esk3_0)|k2_binom(X2,X1,esk1_0)!=X1|~v1_funct_1(k6_field_16(X2,esk1_0))|~m1_subset_1(X1,u1_struct_0(X2))|~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)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_51])]), c_0_97])).
cnf(c_0_136, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|~v1_funct_2(k6_field_16(esk3_0,esk1_0),k4_ordinal1,u1_struct_0(esk3_0))|~v1_funct_1(k6_field_16(esk3_0,esk1_0))|~v1_group_1(esk3_0)|~l6_algstr_0(k8_ring_3(esk3_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_133, c_0_125]), c_0_81]), c_0_51])]), c_0_97]), c_0_92])).
cnf(c_0_137, 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_98])).
fof(c_0_138, 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_139, 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_140, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)!=esk4_0|~v1_funct_1(k6_field_16(esk3_0,esk1_0))|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_134, c_0_135]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90])]), c_0_91]), c_0_92])).
cnf(c_0_141, 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_126])).
cnf(c_0_142, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|~v1_funct_1(k6_field_16(esk3_0,esk1_0))|~v1_group_1(esk3_0)|~l6_algstr_0(k8_ring_3(esk3_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_136, c_0_137]), c_0_81]), c_0_51])]), c_0_97]), c_0_92])).
cnf(c_0_143, 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_98])).
fof(c_0_144, plain, ![X76, X77]:((((((((((((~v2_struct_0(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76)))&(~v6_struct_0(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v13_algstr_0(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v33_algstr_0(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v3_group_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v5_group_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v4_vectsp_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v5_vectsp_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v2_rlvect_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v3_rlvect_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(v4_rlvect_1(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76))))&(l6_algstr_0(X77)|~m1_ec_pf_1(X77,X76)|(v2_struct_0(X76)|v6_struct_0(X76)|~v13_algstr_0(X76)|~v33_algstr_0(X76)|~v3_group_1(X76)|~v5_group_1(X76)|~v4_vectsp_1(X76)|~v5_vectsp_1(X76)|~v2_rlvect_1(X76)|~v3_rlvect_1(X76)|~v4_rlvect_1(X76)|~l6_algstr_0(X76)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])])])).
fof(c_0_145, plain, ![X71]:((v36_algstr_0(k8_ring_3(X71))|(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)|~l6_algstr_0(X71)))&(m1_ec_pf_1(k8_ring_3(X71),X71)|(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)|~l6_algstr_0(X71)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_139])])])).
cnf(c_0_146, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)!=esk4_0|~l6_algstr_0(k8_ring_3(esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_140, c_0_141]), c_0_81]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_90]), c_0_51])]), c_0_97]), c_0_91]), c_0_92])).
cnf(c_0_147, negated_conjecture, (k2_binom(esk3_0,esk4_0,esk1_0)=esk4_0|~v1_group_1(esk3_0)|~l6_algstr_0(k8_ring_3(esk3_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_142, c_0_143]), c_0_81]), c_0_51])]), c_0_97]), c_0_92])).
cnf(c_0_148, 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_144])).
cnf(c_0_149, 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_145])).
cnf(c_0_150, negated_conjecture, (~v1_group_1(esk3_0)|~l6_algstr_0(k8_ring_3(esk3_0))), inference(spm,[status(thm)],[c_0_146, c_0_147])).
cnf(c_0_151, plain, (l6_algstr_0(k8_ring_3(X1))|v6_struct_0(X1)|v2_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(spm,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_152, negated_conjecture, (~v1_group_1(esk3_0)), inference(sr,[status(thm)],[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_150, c_0_151]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90])]), c_0_91]), c_0_92])).
cnf(c_0_153, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_70]), c_0_81]), c_0_85])]), c_0_92]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 154
# Proof object clause steps            : 94
# Proof object formula steps           : 60
# Proof object conjectures             : 51
# Proof object clause conjectures      : 48
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 51
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 38
# Proof object simplifying inferences  : 163
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 76
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 74
# Processed clauses                    : 210
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 205
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 11
# Backward-rewritten                   : 0
# Generated clauses                    : 88
# ...of the previous two non-trivial   : 77
# Contextual simplify-reflections      : 21
# Paramodulations                      : 84
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 119
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 99
# Current number of unprocessed clauses: 11
# ...number of literals in the above   : 199
# Current number of archived formulas  : 0
# Current number of archived clauses   : 83
# Clause-clause subsumption calls (NU) : 24939
# Rec. Clause-clause subsumption calls : 142
# Non-unit clause-clause subsumptions  : 37
# Unit Clause-clause subsumption calls : 50
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 18748

# -------------------------------------------------
# User time                : 0.060 s
# System time              : 0.004 s
# Total time               : 0.064 s
# Maximum resident set size: 3404 pages
