# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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('e_trans1/e_trans1__t20_e_trans1', redefinition_m1_ring_4)).
fof(t20_e_trans1, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>(k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X2,np__1))=k5_struct_0(k12_polynom3(k1_int_3))=>k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X1),k2_binom(k12_polynom3(k1_int_3),X2,X1))=k5_binom(k12_polynom3(k1_int_3),k5_struct_0(k12_polynom3(k1_int_3)),k2_newton(X1))))), file('e_trans1/e_trans1__t20_e_trans1', t20_e_trans1)).
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('e_trans1/e_trans1__t20_e_trans1', fc2_ring_4)).
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('e_trans1/e_trans1__t20_e_trans1', dt_k12_polynom3)).
fof(rc1_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_relat_1(X2))&v4_relat_1(X2,k4_ordinal1))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&~(v1_xboole_0(X2)))&v1_partfun1(X2,k4_ordinal1))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&~(v1_uproots(X2,X1)))), file('e_trans1/e_trans1__t20_e_trans1', rc1_ratfunc1)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', dt_l2_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', dt_l6_algstr_0)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans1/e_trans1__t20_e_trans1', fc1_int_3)).
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('e_trans1/e_trans1__t20_e_trans1', fc1_ring_4)).
fof(fc4_int_3, axiom, ((((((((~(v6_struct_0(k1_int_3))&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), file('e_trans1/e_trans1__t20_e_trans1', fc4_int_3)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans1/e_trans1__t20_e_trans1', dt_k1_int_3)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__t20_e_trans1', dt_l1_algstr_0)).
fof(cc8_relat_1, axiom, ![X1]:(v1_xboole_0(X1)=>![X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>((v1_xboole_0(X2)&v1_relat_1(X2))&v5_relat_1(X2,X1)))), file('e_trans1/e_trans1__t20_e_trans1', cc8_relat_1)).
fof(fc3_ring_4, axiom, ![X1]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v4_vectsp_1(k12_polynom3(X1)))), file('e_trans1/e_trans1__t20_e_trans1', fc3_ring_4)).
fof(ie10_vectsp_1, axiom, ![X1]:(((~(v2_struct_0(X1))&v4_vectsp_1(X1))&l4_algstr_0(X1))=>k1_group_1(X1)=k5_struct_0(X1)), file('e_trans1/e_trans1__t20_e_trans1', ie10_vectsp_1)).
fof(t8_binom, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(k2_binom(X1,X2,k5_numbers)=k1_group_1(X1)&k2_binom(X1,X2,np__1)=X2))), file('e_trans1/e_trans1__t20_e_trans1', t8_binom)).
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('e_trans1/e_trans1__t20_e_trans1', cc5_vectsp_1)).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3), file('e_trans1/e_trans1__t20_e_trans1', fc3_int_3)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', dt_l4_algstr_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', dt_l5_algstr_0)).
fof(connectedness_r1_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>(r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1))), file('e_trans1/e_trans1__t20_e_trans1', connectedness_r1_xxreal_0)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('e_trans1/e_trans1__t20_e_trans1', cc2_xxreal_0)).
fof(t19_e_trans1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>(k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X2,np__1))=k5_struct_0(k12_polynom3(k1_int_3))=>![X3]:(v7_ordinal1(X3)=>((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X1))=>k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X3),k2_binom(k12_polynom3(k1_int_3),X2,X1))=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),X2,k7_nat_d(X1,X3)),k2_e_trans1(X1,X3))))))), file('e_trans1/e_trans1__t20_e_trans1', t19_e_trans1)).
fof(t232_xreal_1, axiom, ![X1]:(v1_xreal_0(X1)=>k1_xreal_0(X1,X1)=k5_numbers), file('e_trans1/e_trans1__t20_e_trans1', t232_xreal_1)).
fof(redefinition_k7_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k7_nat_d(X1,X2)=k1_xreal_0(X1,X2)), file('e_trans1/e_trans1__t20_e_trans1', redefinition_k7_nat_d)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('e_trans1/e_trans1__t20_e_trans1', cc2_xreal_0)).
fof(d2_e_trans1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>k2_e_trans1(X1,X2)=k7_xcmplx_0(k2_newton(X1),k2_newton(k7_nat_d(X1,X2))))), file('e_trans1/e_trans1__t20_e_trans1', d2_e_trans1)).
fof(dt_k2_binom, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v1_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v7_ordinal1(X3))=>m1_subset_1(k2_binom(X1,X2,X3),u1_struct_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', dt_k2_binom)).
fof(t14_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(~(r1_xxreal_0(np__1,X1))=>X1=k5_numbers)), file('e_trans1/e_trans1__t20_e_trans1', t14_nat_1)).
fof(cc7_ordinal1, axiom, ![X1]:(v1_xboole_0(X1)=>v7_ordinal1(X1)), file('e_trans1/e_trans1__t20_e_trans1', cc7_ordinal1)).
fof(t6_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k7_xcmplx_0(X1,np__1)=X1), file('e_trans1/e_trans1__t20_e_trans1', t6_arithm)).
fof(t12_newton, axiom, k2_newton(k5_numbers)=np__1, file('e_trans1/e_trans1__t20_e_trans1', t12_newton)).
fof(spc0_boole, axiom, v1_xboole_0(np__0), file('e_trans1/e_trans1__t20_e_trans1', spc0_boole)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom, ~(r1_xxreal_0(np__1,np__0)), file('e_trans1/e_trans1__t20_e_trans1', rqLessOrEqual__r1_xxreal_0__r1_r0)).
fof(fc3_funct_1, axiom, ![X1]:(v1_relat_1(k4_relat_1(X1))&v1_funct_1(k4_relat_1(X1))), file('e_trans1/e_trans1__t20_e_trans1', fc3_funct_1)).
fof(redefinition_k6_partfun1, axiom, ![X1]:k6_partfun1(X1)=k4_relat_1(X1), file('e_trans1/e_trans1__t20_e_trans1', redefinition_k6_partfun1)).
fof(cc1_funct_2, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v1_partfun1(X3,X1)=>v1_funct_2(X3,X1,X2))), file('e_trans1/e_trans1__t20_e_trans1', cc1_funct_2)).
fof(dt_k6_partfun1, axiom, ![X1]:(v1_partfun1(k6_partfun1(X1),X1)&m1_subset_1(k6_partfun1(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), file('e_trans1/e_trans1__t20_e_trans1', dt_k6_partfun1)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('e_trans1/e_trans1__t20_e_trans1', cc1_xcmplx_0)).
fof(fc7_newton, axiom, ![X1]:(v7_ordinal1(X1)=>v7_ordinal1(k2_newton(X1))), file('e_trans1/e_trans1__t20_e_trans1', fc7_newton)).
fof(t13_binom, axiom, ![X1]:(((~(v2_struct_0(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_binom(X1,X2,np__1)=X2)), file('e_trans1/e_trans1__t20_e_trans1', t13_binom)).
fof(redefinition_r2_funct_2, axiom, ![X1, X2, X3, X4]:((((((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&v1_funct_1(X4))&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_funct_2(X1,X2,X3,X4)<=>X3=X4)), file('e_trans1/e_trans1__t20_e_trans1', redefinition_r2_funct_2)).
fof(t18_vectsp11, axiom, ![X1]:(l1_struct_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)))))=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_vectsp11(X1,X2,k5_numbers),k3_struct_0(X1)))), file('e_trans1/e_trans1__t20_e_trans1', t18_vectsp11)).
fof(d4_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>k3_struct_0(X1)=k6_partfun1(u1_struct_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', d4_struct_0)).
fof(dt_k5_struct_0, axiom, ![X1]:(l3_struct_0(X1)=>m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))), file('e_trans1/e_trans1__t20_e_trans1', dt_k5_struct_0)).
fof(fc11_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)))&v4_rlvect_1(k12_polynom3(X1)))), file('e_trans1/e_trans1__t20_e_trans1', fc11_polynom3)).
fof(redefinition_k8_ringder1, axiom, ![X1, X2, X3]:(((((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_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))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))))&m1_subset_1(X3,u1_struct_0(k12_polynom3(X1))))=>k8_ringder1(X1,X2,X3)=k1_funct_1(X2,X3)), file('e_trans1/e_trans1__t20_e_trans1', redefinition_k8_ringder1)).
fof(dt_k1_vectsp11, axiom, ![X1, X2, X3]:(((((l1_struct_0(X1)&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)))))&v7_ordinal1(X3))=>((v1_funct_1(k1_vectsp11(X1,X2,X3))&v1_funct_2(k1_vectsp11(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k1_vectsp11(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('e_trans1/e_trans1__t20_e_trans1', dt_k1_vectsp11)).
fof(dt_k9_ringder1, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_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))=>((v1_funct_1(k9_ringder1(X1))&v1_funct_2(k9_ringder1(X1),u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))&m1_subset_1(k9_ringder1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))))), file('e_trans1/e_trans1__t20_e_trans1', dt_k9_ringder1)).
fof(rd1_funct_1, axiom, ![X1, X2]:(m1_subset_1(X2,X1)=>k1_funct_1(k4_relat_1(X1),X2)=X2), file('e_trans1/e_trans1__t20_e_trans1', rd1_funct_1)).
fof(c_0_50, 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_51, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>(k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X2,np__1))=k5_struct_0(k12_polynom3(k1_int_3))=>k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X1),k2_binom(k12_polynom3(k1_int_3),X2,X1))=k5_binom(k12_polynom3(k1_int_3),k5_struct_0(k12_polynom3(k1_int_3)),k2_newton(X1)))))), inference(assume_negation,[status(cth)],[t20_e_trans1])).
fof(c_0_52, 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_53, 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])).
fof(c_0_54, 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_relat_1(X2))&v4_relat_1(X2,k4_ordinal1))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&~v1_xboole_0(X2))&v1_partfun1(X2,k4_ordinal1))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&~v1_uproots(X2,X1))), inference(fof_simplification,[status(thm)],[rc1_ratfunc1])).
fof(c_0_55, plain, ![X103]:((l2_struct_0(X103)|~l2_algstr_0(X103))&(l1_algstr_0(X103)|~l2_algstr_0(X103))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_56, plain, ![X107]:((l2_algstr_0(X107)|~l6_algstr_0(X107))&(l5_algstr_0(X107)|~l6_algstr_0(X107))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_57, plain, ![X126, X127, X128]:((~m1_ring_4(X128,X126,X127)|m1_subset_1(X128,X127)|(v2_struct_0(X126)|~l2_struct_0(X126)|v1_xboole_0(X127)|~v1_ring_4(X127,X126)))&(~m1_subset_1(X128,X127)|m1_ring_4(X128,X126,X127)|(v2_struct_0(X126)|~l2_struct_0(X126)|v1_xboole_0(X127)|~v1_ring_4(X127,X126)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])])).
fof(c_0_58, negated_conjecture, (v7_ordinal1(esk1_0)&(m1_ring_4(esk2_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))&(k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),esk2_0,np__1))=k5_struct_0(k12_polynom3(k1_int_3))&k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0))!=k5_binom(k12_polynom3(k1_int_3),k5_struct_0(k12_polynom3(k1_int_3)),k2_newton(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])).
fof(c_0_59, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_60, 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_61, plain, ![X111]:(((~v2_struct_0(k12_polynom3(X111))|(v2_struct_0(X111)|~v13_algstr_0(X111)|~v3_rlvect_1(X111)|~v4_rlvect_1(X111)|~v5_vectsp_1(X111)|~l6_algstr_0(X111)))&(v36_algstr_0(k12_polynom3(X111))|(v2_struct_0(X111)|~v13_algstr_0(X111)|~v3_rlvect_1(X111)|~v4_rlvect_1(X111)|~v5_vectsp_1(X111)|~l6_algstr_0(X111))))&(v2_ring_4(k12_polynom3(X111),X111)|(v2_struct_0(X111)|~v13_algstr_0(X111)|~v3_rlvect_1(X111)|~v4_rlvect_1(X111)|~v5_vectsp_1(X111)|~l6_algstr_0(X111)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])).
fof(c_0_62, plain, ((((((((~v6_struct_0(k1_int_3)&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), inference(fof_simplification,[status(thm)],[fc4_int_3])).
fof(c_0_63, plain, ![X92]:(((~v2_struct_0(k12_polynom3(X92))|(v2_struct_0(X92)|~v13_algstr_0(X92)|~v3_rlvect_1(X92)|~v4_rlvect_1(X92)|~v5_vectsp_1(X92)|~l6_algstr_0(X92)))&(v36_algstr_0(k12_polynom3(X92))|(v2_struct_0(X92)|~v13_algstr_0(X92)|~v3_rlvect_1(X92)|~v4_rlvect_1(X92)|~v5_vectsp_1(X92)|~l6_algstr_0(X92))))&(l6_algstr_0(k12_polynom3(X92))|(v2_struct_0(X92)|~v13_algstr_0(X92)|~v3_rlvect_1(X92)|~v4_rlvect_1(X92)|~v5_vectsp_1(X92)|~l6_algstr_0(X92)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])).
fof(c_0_64, plain, ![X116]:((((((((((m1_subset_1(esk3_1(X116),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X116))))|(v2_struct_0(X116)|~l2_struct_0(X116)))&(v1_relat_1(esk3_1(X116))|(v2_struct_0(X116)|~l2_struct_0(X116))))&(v4_relat_1(esk3_1(X116),k4_ordinal1)|(v2_struct_0(X116)|~l2_struct_0(X116))))&(v5_relat_1(esk3_1(X116),u1_struct_0(X116))|(v2_struct_0(X116)|~l2_struct_0(X116))))&(v1_funct_1(esk3_1(X116))|(v2_struct_0(X116)|~l2_struct_0(X116))))&(~v1_xboole_0(esk3_1(X116))|(v2_struct_0(X116)|~l2_struct_0(X116))))&(v1_partfun1(esk3_1(X116),k4_ordinal1)|(v2_struct_0(X116)|~l2_struct_0(X116))))&(v1_funct_2(esk3_1(X116),k4_ordinal1,u1_struct_0(X116))|(v2_struct_0(X116)|~l2_struct_0(X116))))&(v1_polynom1(esk3_1(X116),X116)|(v2_struct_0(X116)|~l2_struct_0(X116))))&(~v1_uproots(esk3_1(X116),X116)|(v2_struct_0(X116)|~l2_struct_0(X116)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])).
cnf(c_0_65, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_66, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_67, 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_57])).
cnf(c_0_68, negated_conjecture, (m1_ring_4(esk2_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_69, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_70, plain, ![X109, X110]:(v2_struct_0(X109)|~l2_struct_0(X109)|v2_struct_0(X110)|~v2_ring_4(X110,X109)|~l1_struct_0(X110)|v1_ring_4(u1_struct_0(X110),X109)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])).
cnf(c_0_71, 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_61])).
cnf(c_0_72, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_73, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_74, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_75, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_76, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_77, 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_63])).
cnf(c_0_78, plain, (v5_relat_1(esk3_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_79, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_80, 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_63])).
cnf(c_0_81, plain, (v1_relat_1(esk3_1(X1))|v2_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_82, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l2_struct_0(k1_int_3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69])).
cnf(c_0_83, 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_70])).
cnf(c_0_84, plain, (v2_ring_4(k12_polynom3(k1_int_3),k1_int_3)), 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(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76])]), c_0_69])).
cnf(c_0_85, plain, (~v2_struct_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_77, c_0_73]), c_0_72]), c_0_74]), c_0_75]), c_0_76])]), c_0_69])).
fof(c_0_86, plain, ![X102]:(~l1_algstr_0(X102)|l1_struct_0(X102)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_87, plain, ![X85, X86]:(((v1_xboole_0(X86)|(~v1_relat_1(X86)|~v5_relat_1(X86,X85))|~v1_xboole_0(X85))&(v1_relat_1(X86)|(~v1_relat_1(X86)|~v5_relat_1(X86,X85))|~v1_xboole_0(X85)))&(v5_relat_1(X86,X85)|(~v1_relat_1(X86)|~v5_relat_1(X86,X85))|~v1_xboole_0(X85))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_relat_1])])])])).
cnf(c_0_88, plain, (v5_relat_1(esk3_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_78, c_0_79])).
cnf(c_0_89, plain, (l6_algstr_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_80, c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76])]), c_0_69])).
cnf(c_0_90, plain, (v1_relat_1(esk3_1(X1))|v2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_81, c_0_79])).
cnf(c_0_91, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_79]), c_0_72])])).
cnf(c_0_92, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l2_struct_0(k1_int_3)|~l1_struct_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85]), c_0_69])).
cnf(c_0_93, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_94, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_95, plain, (v1_xboole_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_87])).
cnf(c_0_96, plain, (v5_relat_1(esk3_1(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_85])).
cnf(c_0_97, plain, (v1_relat_1(esk3_1(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_89]), c_0_85])).
cnf(c_0_98, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_struct_0(k1_int_3)|~l1_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_99, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
fof(c_0_100, plain, ![X1]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v4_vectsp_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc3_ring_4])).
cnf(c_0_101, plain, (v2_struct_0(X1)|~v1_xboole_0(esk3_1(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_102, plain, (v1_xboole_0(esk3_1(k12_polynom3(k1_int_3)))|~v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_97])])).
cnf(c_0_103, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_79]), c_0_72])])).
cnf(c_0_104, plain, (l1_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_99, c_0_66])).
fof(c_0_105, plain, ![X1]:(((~v2_struct_0(X1)&v4_vectsp_1(X1))&l4_algstr_0(X1))=>k1_group_1(X1)=k5_struct_0(X1)), inference(fof_simplification,[status(thm)],[ie10_vectsp_1])).
fof(c_0_106, plain, ![X113]:(((~v2_struct_0(k12_polynom3(X113))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v4_vectsp_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113)))&(v36_algstr_0(k12_polynom3(X113))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v4_vectsp_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113))))&(v4_vectsp_1(k12_polynom3(X113))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v4_vectsp_1(X113)|~v5_vectsp_1(X113)|~l6_algstr_0(X113)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])).
fof(c_0_107, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(k2_binom(X1,X2,k5_numbers)=k1_group_1(X1)&k2_binom(X1,X2,np__1)=X2))), inference(fof_simplification,[status(thm)],[t8_binom])).
cnf(c_0_108, plain, (~l2_struct_0(k12_polynom3(k1_int_3))|~v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_85])).
cnf(c_0_109, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_89])])).
fof(c_0_110, 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_111, plain, ![X115]:(v2_struct_0(X115)|~v4_vectsp_1(X115)|~l4_algstr_0(X115)|k1_group_1(X115)=k5_struct_0(X115)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])).
cnf(c_0_112, plain, (v4_vectsp_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(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_106])).
cnf(c_0_113, plain, (v4_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[fc3_int_3])).
fof(c_0_114, plain, ![X143, X144]:((k2_binom(X143,X144,k5_numbers)=k1_group_1(X143)|~m1_subset_1(X144,u1_struct_0(X143))|(v2_struct_0(X143)|~v1_group_1(X143)|~l3_algstr_0(X143)))&(k2_binom(X143,X144,np__1)=X144|~m1_subset_1(X144,u1_struct_0(X143))|(v2_struct_0(X143)|~v1_group_1(X143)|~l3_algstr_0(X143)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])])).
cnf(c_0_115, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_108, c_0_109])).
fof(c_0_116, plain, ![X83]:((~v2_struct_0(X83)|(v2_struct_0(X83)|~v4_vectsp_1(X83))|~l4_algstr_0(X83))&(v1_group_1(X83)|(v2_struct_0(X83)|~v4_vectsp_1(X83))|~l4_algstr_0(X83))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])])).
cnf(c_0_117, plain, (v2_struct_0(X1)|k1_group_1(X1)=k5_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_111])).
cnf(c_0_118, plain, (v4_vectsp_1(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_112, c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_113])]), c_0_69])).
cnf(c_0_119, plain, (k2_binom(X1,X2,k5_numbers)=k1_group_1(X1)|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_120, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_79]), c_0_89])])).
cnf(c_0_121, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_116])).
fof(c_0_122, plain, ![X104]:((l3_struct_0(X104)|~l4_algstr_0(X104))&(l3_algstr_0(X104)|~l4_algstr_0(X104))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
fof(c_0_123, plain, ![X106]:((l4_algstr_0(X106)|~l5_algstr_0(X106))&(l4_struct_0(X106)|~l5_algstr_0(X106))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
cnf(c_0_124, plain, (k2_binom(X1,X2,np__1)=X2|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_125, plain, (k1_group_1(k12_polynom3(k1_int_3))=k5_struct_0(k12_polynom3(k1_int_3))|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_85])).
cnf(c_0_126, negated_conjecture, (k1_group_1(k12_polynom3(k1_int_3))=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)|~l3_algstr_0(k12_polynom3(k1_int_3))|~v1_group_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_85])).
cnf(c_0_127, plain, (v1_group_1(k12_polynom3(k1_int_3))|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_118]), c_0_85])).
cnf(c_0_128, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_122])).
cnf(c_0_129, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_130, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_131, negated_conjecture, (k2_binom(k12_polynom3(k1_int_3),esk2_0,np__1)=esk2_0|~l3_algstr_0(k12_polynom3(k1_int_3))|~v1_group_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_120]), c_0_85])).
fof(c_0_132, plain, ![X87, X88]:(~v1_xxreal_0(X87)|~v1_xxreal_0(X88)|(r1_xxreal_0(X87,X88)|r1_xxreal_0(X88,X87))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_xxreal_0])])).
fof(c_0_133, plain, ![X82]:(~v7_ordinal1(X82)|v1_xxreal_0(X82)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_134, plain, ![X138, X139, X140]:(~v7_ordinal1(X138)|(~m1_ring_4(X139,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|(k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X139,np__1))!=k5_struct_0(k12_polynom3(k1_int_3))|(~v7_ordinal1(X140)|(~r1_xxreal_0(np__1,X140)|~r1_xxreal_0(X140,X138)|k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X140),k2_binom(k12_polynom3(k1_int_3),X139,X138))=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),X139,k7_nat_d(X138,X140)),k2_e_trans1(X138,X140))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_e_trans1])])])).
cnf(c_0_135, negated_conjecture, (k5_struct_0(k12_polynom3(k1_int_3))=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_127]), c_0_128])).
cnf(c_0_136, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_129, c_0_130])).
fof(c_0_137, plain, ![X141]:(~v1_xreal_0(X141)|k1_xreal_0(X141,X141)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t232_xreal_1])])).
fof(c_0_138, plain, ![X121, X122]:(~v7_ordinal1(X121)|~v7_ordinal1(X122)|k7_nat_d(X121,X122)=k1_xreal_0(X121,X122)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_nat_d])])).
fof(c_0_139, plain, ![X81]:(~v7_ordinal1(X81)|v1_xreal_0(X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_140, negated_conjecture, (k2_binom(k12_polynom3(k1_int_3),esk2_0,np__1)=esk2_0|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_127]), c_0_128])).
cnf(c_0_141, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_142, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_133])).
cnf(c_0_143, plain, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X3),k2_binom(k12_polynom3(k1_int_3),X2,X1))=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),X2,k7_nat_d(X1,X3)),k2_e_trans1(X1,X3))|~v7_ordinal1(X1)|~m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X2,np__1))!=k5_struct_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X3)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_134])).
cnf(c_0_144, negated_conjecture, (k5_struct_0(k12_polynom3(k1_int_3))=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_89])])).
cnf(c_0_145, plain, (k1_xreal_0(X1,X1)=k5_numbers|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_137])).
cnf(c_0_146, plain, (k7_nat_d(X1,X2)=k1_xreal_0(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_138])).
cnf(c_0_147, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_139])).
cnf(c_0_148, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),esk2_0,np__1))=k5_struct_0(k12_polynom3(k1_int_3))), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_149, negated_conjecture, (k2_binom(k12_polynom3(k1_int_3),esk2_0,np__1)=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_136]), c_0_89])])).
cnf(c_0_150, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_141, c_0_142])).
fof(c_0_151, plain, ![X89, X90]:(~v7_ordinal1(X89)|(~v7_ordinal1(X90)|k2_e_trans1(X89,X90)=k7_xcmplx_0(k2_newton(X89),k2_newton(k7_nat_d(X89,X90))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_e_trans1])])])).
fof(c_0_152, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v1_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v7_ordinal1(X3))=>m1_subset_1(k2_binom(X1,X2,X3),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k2_binom])).
fof(c_0_153, plain, ![X1]:(v7_ordinal1(X1)=>(~r1_xxreal_0(np__1,X1)=>X1=k5_numbers)), inference(fof_simplification,[status(thm)],[t14_nat_1])).
fof(c_0_154, plain, ![X84]:(~v1_xboole_0(X84)|v7_ordinal1(X84)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_ordinal1])])).
cnf(c_0_155, plain, (k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),X1,k7_nat_d(X2,X3)),k2_e_trans1(X2,X3))=k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X3),k2_binom(k12_polynom3(k1_int_3),X1,X2))|k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X1,np__1))!=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X2)|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(rw,[status(thm)],[c_0_143, c_0_144])).
cnf(c_0_156, plain, (k7_nat_d(X1,X1)=k5_numbers|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_147])).
cnf(c_0_157, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),esk2_0)=k5_struct_0(k12_polynom3(k1_int_3))), inference(rw,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_158, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_150, c_0_142])).
cnf(c_0_159, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_58])).
fof(c_0_160, plain, ![X142]:(~v1_xcmplx_0(X142)|k7_xcmplx_0(X142,np__1)=X142), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_arithm])])).
cnf(c_0_161, plain, (k2_e_trans1(X1,X2)=k7_xcmplx_0(k2_newton(X1),k2_newton(k7_nat_d(X1,X2)))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_151])).
cnf(c_0_162, plain, (k2_newton(k5_numbers)=np__1), inference(split_conjunct,[status(thm)],[t12_newton])).
fof(c_0_163, plain, ![X96, X97, X98]:(v2_struct_0(X96)|~v1_group_1(X96)|~l3_algstr_0(X96)|~m1_subset_1(X97,u1_struct_0(X96))|~v7_ordinal1(X98)|m1_subset_1(k2_binom(X96,X97,X98),u1_struct_0(X96))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])).
fof(c_0_164, plain, ![X135]:(~v7_ordinal1(X135)|(r1_xxreal_0(np__1,X135)|X135=k5_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_153])])).
cnf(c_0_165, plain, (v7_ordinal1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_154])).
cnf(c_0_166, plain, (v1_xboole_0(np__0)), inference(split_conjunct,[status(thm)],[spc0_boole])).
fof(c_0_167, plain, ~r1_xxreal_0(np__1,np__0), inference(fof_simplification,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r0])).
fof(c_0_168, plain, ![X112]:(v1_relat_1(k4_relat_1(X112))&v1_funct_1(k4_relat_1(X112))), inference(variable_rename,[status(thm)],[fc3_funct_1])).
fof(c_0_169, plain, ![X120]:k6_partfun1(X120)=k4_relat_1(X120), inference(variable_rename,[status(thm)],[redefinition_k6_partfun1])).
fof(c_0_170, plain, ![X77, X78, X79]:(~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X77,X78)))|(~v1_partfun1(X79,X77)|v1_funct_2(X79,X77,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])).
fof(c_0_171, plain, ![X100]:(v1_partfun1(k6_partfun1(X100),X100)&m1_subset_1(k6_partfun1(X100),k1_zfmisc_1(k2_zfmisc_1(X100,X100)))), inference(variable_rename,[status(thm)],[dt_k6_partfun1])).
cnf(c_0_172, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0))!=k5_binom(k12_polynom3(k1_int_3),k5_struct_0(k12_polynom3(k1_int_3)),k2_newton(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_173, plain, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X1),k2_binom(k12_polynom3(k1_int_3),X2,X1))=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),X2,k5_numbers),k2_e_trans1(X1,X1))|k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),k2_binom(k12_polynom3(k1_int_3),X2,np__1))!=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X1)|~m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_155, c_0_156])).
cnf(c_0_174, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),np__1),esk2_0)=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)), inference(rw,[status(thm)],[c_0_157, c_0_144])).
cnf(c_0_175, negated_conjecture, (r1_xxreal_0(X1,esk1_0)|r1_xxreal_0(esk1_0,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_158, c_0_159])).
cnf(c_0_176, plain, (k7_xcmplx_0(X1,np__1)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_160])).
cnf(c_0_177, plain, (k7_xcmplx_0(k2_newton(X1),np__1)=k2_e_trans1(X1,X1)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_156]), c_0_162])).
fof(c_0_178, plain, ![X80]:(~v7_ordinal1(X80)|v1_xcmplx_0(X80)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
fof(c_0_179, plain, ![X114]:(~v7_ordinal1(X114)|v7_ordinal1(k2_newton(X114))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_newton])])).
cnf(c_0_180, plain, (v2_struct_0(X1)|m1_subset_1(k2_binom(X1,X2,X3),u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_163])).
cnf(c_0_181, plain, (r1_xxreal_0(np__1,X1)|X1=k5_numbers|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_164])).
cnf(c_0_182, plain, (v7_ordinal1(np__0)), inference(spm,[status(thm)],[c_0_165, c_0_166])).
cnf(c_0_183, plain, (~r1_xxreal_0(np__1,np__0)), inference(split_conjunct,[status(thm)],[c_0_167])).
fof(c_0_184, plain, ![X1]:(((~v2_struct_0(X1)&v4_rlvect_1(X1))&l2_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k5_binom(X1,X2,np__1)=X2)), inference(fof_simplification,[status(thm)],[t13_binom])).
fof(c_0_185, plain, ![X129, X130, X131, X132]:((~r2_funct_2(X129,X130,X131,X132)|X131=X132|(~v1_funct_1(X131)|~v1_funct_2(X131,X129,X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(X129,X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,X129,X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(X129,X130)))))&(X131!=X132|r2_funct_2(X129,X130,X131,X132)|(~v1_funct_1(X131)|~v1_funct_2(X131,X129,X130)|~m1_subset_1(X131,k1_zfmisc_1(k2_zfmisc_1(X129,X130)))|~v1_funct_1(X132)|~v1_funct_2(X132,X129,X130)|~m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(X129,X130)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_funct_2])])])).
cnf(c_0_186, plain, (v1_funct_1(k4_relat_1(X1))), inference(split_conjunct,[status(thm)],[c_0_168])).
cnf(c_0_187, plain, (k6_partfun1(X1)=k4_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_169])).
cnf(c_0_188, plain, (v1_funct_2(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))|~v1_partfun1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_170])).
cnf(c_0_189, plain, (m1_subset_1(k6_partfun1(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_171])).
cnf(c_0_190, plain, (v1_partfun1(k6_partfun1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_171])).
fof(c_0_191, plain, ![X136, X137]:(~l1_struct_0(X136)|(~v1_funct_1(X137)|~v1_funct_2(X137,u1_struct_0(X136),u1_struct_0(X136))|~m1_subset_1(X137,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X136),u1_struct_0(X136))))|r2_funct_2(u1_struct_0(X136),u1_struct_0(X136),k1_vectsp11(X136,X137,k5_numbers),k3_struct_0(X136)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_vectsp11])])])).
fof(c_0_192, plain, ![X91]:(~l1_struct_0(X91)|k3_struct_0(X91)=k6_partfun1(u1_struct_0(X91))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_struct_0])])).
cnf(c_0_193, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0))!=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers),k2_newton(esk1_0))), inference(rw,[status(thm)],[c_0_172, c_0_144])).
cnf(c_0_194, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X1),k2_binom(k12_polynom3(k1_int_3),esk2_0,X1))=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers),k2_e_trans1(X1,X1))|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_149]), c_0_174]), c_0_68])])).
cnf(c_0_195, negated_conjecture, (r1_xxreal_0(esk1_0,esk1_0)), inference(spm,[status(thm)],[c_0_175, c_0_159])).
cnf(c_0_196, plain, (k2_e_trans1(X1,X1)=k2_newton(X1)|~v1_xcmplx_0(k2_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_176, c_0_177])).
cnf(c_0_197, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_178])).
cnf(c_0_198, plain, (v7_ordinal1(k2_newton(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_179])).
cnf(c_0_199, negated_conjecture, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),esk2_0,X1),u1_struct_0(k12_polynom3(k1_int_3)))|~l3_algstr_0(k12_polynom3(k1_int_3))|~v1_group_1(k12_polynom3(k1_int_3))|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_120]), c_0_85])).
cnf(c_0_200, plain, (np__0=k5_numbers), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_182]), c_0_183])).
fof(c_0_201, plain, ![X133, X134]:(v2_struct_0(X133)|~v4_rlvect_1(X133)|~l2_algstr_0(X133)|(~m1_subset_1(X134,u1_struct_0(X133))|k5_binom(X133,X134,np__1)=X134)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_184])])])).
fof(c_0_202, plain, ![X99]:(~l3_struct_0(X99)|m1_subset_1(k5_struct_0(X99),u1_struct_0(X99))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_struct_0])])).
cnf(c_0_203, plain, (X3=X4|~r2_funct_2(X1,X2,X3,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X4)|~v1_funct_2(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_185])).
cnf(c_0_204, plain, (v1_funct_1(k6_partfun1(X1))), inference(rw,[status(thm)],[c_0_186, c_0_187])).
cnf(c_0_205, plain, (v1_funct_2(k6_partfun1(X1),X1,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_189]), c_0_190])])).
cnf(c_0_206, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_vectsp11(X1,X2,k5_numbers),k3_struct_0(X1))|~l1_struct_0(X1)|~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))))), inference(split_conjunct,[status(thm)],[c_0_191])).
cnf(c_0_207, plain, (k3_struct_0(X1)=k6_partfun1(u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_192])).
cnf(c_0_208, negated_conjecture, (k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers),k2_e_trans1(esk1_0,esk1_0))!=k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers),k2_newton(esk1_0))|~r1_xxreal_0(np__1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_194]), c_0_195]), c_0_159])])).
cnf(c_0_209, plain, (k2_e_trans1(X1,X1)=k2_newton(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196, c_0_197]), c_0_198])).
cnf(c_0_210, negated_conjecture, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|~l3_algstr_0(k12_polynom3(k1_int_3))|~v1_group_1(k12_polynom3(k1_int_3))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_199]), c_0_85])).
cnf(c_0_211, negated_conjecture, (k2_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,X1),k5_numbers)=k1_group_1(k12_polynom3(k1_int_3))|~l3_algstr_0(k12_polynom3(k1_int_3))|~v1_group_1(k12_polynom3(k1_int_3))|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_199]), c_0_85])).
cnf(c_0_212, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_182, c_0_200])).
cnf(c_0_213, plain, (v2_struct_0(X1)|k5_binom(X1,X2,np__1)=X2|~v4_rlvect_1(X1)|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_201])).
cnf(c_0_214, plain, (m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))|~l3_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_202])).
fof(c_0_215, 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)))&v4_rlvect_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc11_polynom3])).
cnf(c_0_216, plain, (X1=k6_partfun1(X2)|~r2_funct_2(X2,X2,X1,k6_partfun1(X2))|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203, c_0_189]), c_0_204]), c_0_205])])).
cnf(c_0_217, plain, (r2_funct_2(u1_struct_0(X1),u1_struct_0(X1),k1_vectsp11(X1,X2,k5_numbers),k6_partfun1(u1_struct_0(X1)))|~v1_funct_1(X2)|~l1_struct_0(X1)|~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))))), inference(spm,[status(thm)],[c_0_206, c_0_207])).
cnf(c_0_218, negated_conjecture, (k5_numbers=esk1_0|r1_xxreal_0(np__1,esk1_0)), inference(spm,[status(thm)],[c_0_181, c_0_159])).
cnf(c_0_219, negated_conjecture, (~r1_xxreal_0(np__1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208, c_0_209]), c_0_159])])).
fof(c_0_220, plain, ![X1, X2, X3]:(((((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_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))&v1_funct_1(X2))&v1_funct_2(X2,u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))))&m1_subset_1(X3,u1_struct_0(k12_polynom3(X1))))=>k8_ringder1(X1,X2,X3)=k1_funct_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k8_ringder1])).
cnf(c_0_221, negated_conjecture, (m1_subset_1(k1_group_1(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))|~l3_algstr_0(k12_polynom3(k1_int_3))|~v1_group_1(k12_polynom3(k1_int_3))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_211]), c_0_212])])).
cnf(c_0_222, plain, (k5_binom(X1,k5_struct_0(X1),np__1)=k5_struct_0(X1)|v2_struct_0(X1)|~l2_algstr_0(X1)|~l3_struct_0(X1)|~v4_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_213, c_0_214])).
fof(c_0_223, plain, ![X108]:(((~v2_struct_0(k12_polynom3(X108))|(v2_struct_0(X108)|~v13_algstr_0(X108)|~v3_rlvect_1(X108)|~v4_rlvect_1(X108)|~v5_vectsp_1(X108)|~l6_algstr_0(X108)))&(v36_algstr_0(k12_polynom3(X108))|(v2_struct_0(X108)|~v13_algstr_0(X108)|~v3_rlvect_1(X108)|~v4_rlvect_1(X108)|~v5_vectsp_1(X108)|~l6_algstr_0(X108))))&(v4_rlvect_1(k12_polynom3(X108))|(v2_struct_0(X108)|~v13_algstr_0(X108)|~v3_rlvect_1(X108)|~v4_rlvect_1(X108)|~v5_vectsp_1(X108)|~l6_algstr_0(X108)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_215])])])).
cnf(c_0_224, plain, (k1_vectsp11(X1,X2,k5_numbers)=k6_partfun1(u1_struct_0(X1))|~v1_funct_1(k1_vectsp11(X1,X2,k5_numbers))|~v1_funct_1(X2)|~l1_struct_0(X1)|~v1_funct_2(k1_vectsp11(X1,X2,k5_numbers),u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(k1_vectsp11(X1,X2,k5_numbers),k1_zfmisc_1(k2_zfmisc_1(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))))), inference(spm,[status(thm)],[c_0_216, c_0_217])).
cnf(c_0_225, negated_conjecture, (k5_numbers=esk1_0), inference(sr,[status(thm)],[c_0_218, c_0_219])).
fof(c_0_226, plain, ![X93, X94, X95]:(((v1_funct_1(k1_vectsp11(X93,X94,X95))|(~l1_struct_0(X93)|~v1_funct_1(X94)|~v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(X93))|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93))))|~v7_ordinal1(X95)))&(v1_funct_2(k1_vectsp11(X93,X94,X95),u1_struct_0(X93),u1_struct_0(X93))|(~l1_struct_0(X93)|~v1_funct_1(X94)|~v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(X93))|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93))))|~v7_ordinal1(X95))))&(m1_subset_1(k1_vectsp11(X93,X94,X95),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93))))|(~l1_struct_0(X93)|~v1_funct_1(X94)|~v1_funct_2(X94,u1_struct_0(X93),u1_struct_0(X93))|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93))))|~v7_ordinal1(X95)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_vectsp11])])])).
fof(c_0_227, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_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))=>((v1_funct_1(k9_ringder1(X1))&v1_funct_2(k9_ringder1(X1),u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))&m1_subset_1(k9_ringder1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1))))))), inference(fof_simplification,[status(thm)],[dt_k9_ringder1])).
fof(c_0_228, plain, ![X123, X124, X125]:(v2_struct_0(X123)|v6_struct_0(X123)|~v13_algstr_0(X123)|~v3_group_1(X123)|~v5_group_1(X123)|~v2_rlvect_1(X123)|~v3_rlvect_1(X123)|~v4_rlvect_1(X123)|~v4_vectsp_1(X123)|~v5_vectsp_1(X123)|~l6_algstr_0(X123)|~v1_funct_1(X124)|~v1_funct_2(X124,u1_struct_0(k12_polynom3(X123)),u1_struct_0(k12_polynom3(X123)))|~m1_subset_1(X124,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X123)),u1_struct_0(k12_polynom3(X123)))))|~m1_subset_1(X125,u1_struct_0(k12_polynom3(X123)))|k8_ringder1(X123,X124,X125)=k1_funct_1(X124,X125)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_220])])).
cnf(c_0_229, negated_conjecture, (m1_subset_1(k1_group_1(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))|~l4_algstr_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221, c_0_128]), c_0_127])).
cnf(c_0_230, plain, (k5_binom(X1,k5_struct_0(X1),np__1)=k5_struct_0(X1)|v2_struct_0(X1)|~l3_struct_0(X1)|~l6_algstr_0(X1)|~v4_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_222, c_0_66])).
cnf(c_0_231, plain, (l3_struct_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_122])).
cnf(c_0_232, plain, (v4_rlvect_1(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_223])).
cnf(c_0_233, plain, (k1_vectsp11(X1,X2,esk1_0)=k6_partfun1(u1_struct_0(X1))|~v1_funct_1(k1_vectsp11(X1,X2,esk1_0))|~v1_funct_1(X2)|~l1_struct_0(X1)|~v1_funct_2(k1_vectsp11(X1,X2,esk1_0),u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~m1_subset_1(k1_vectsp11(X1,X2,esk1_0),k1_zfmisc_1(k2_zfmisc_1(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))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224, c_0_225]), c_0_225]), c_0_225]), c_0_225])).
cnf(c_0_234, plain, (m1_subset_1(k1_vectsp11(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_struct_0(X1)|~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))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_226])).
fof(c_0_235, plain, ![X101]:(((v1_funct_1(k9_ringder1(X101))|(v2_struct_0(X101)|~v13_algstr_0(X101)|~v3_group_1(X101)|~v2_rlvect_1(X101)|~v3_rlvect_1(X101)|~v4_rlvect_1(X101)|~v4_vectsp_1(X101)|~v5_vectsp_1(X101)|~l6_algstr_0(X101)))&(v1_funct_2(k9_ringder1(X101),u1_struct_0(k12_polynom3(X101)),u1_struct_0(k12_polynom3(X101)))|(v2_struct_0(X101)|~v13_algstr_0(X101)|~v3_group_1(X101)|~v2_rlvect_1(X101)|~v3_rlvect_1(X101)|~v4_rlvect_1(X101)|~v4_vectsp_1(X101)|~v5_vectsp_1(X101)|~l6_algstr_0(X101))))&(m1_subset_1(k9_ringder1(X101),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X101)),u1_struct_0(k12_polynom3(X101)))))|(v2_struct_0(X101)|~v13_algstr_0(X101)|~v3_group_1(X101)|~v2_rlvect_1(X101)|~v3_rlvect_1(X101)|~v4_rlvect_1(X101)|~v4_vectsp_1(X101)|~v5_vectsp_1(X101)|~l6_algstr_0(X101)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_227])])])).
fof(c_0_236, plain, ![X118, X119]:(~m1_subset_1(X119,X118)|k1_funct_1(k4_relat_1(X118),X119)=X119), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_funct_1])])).
cnf(c_0_237, plain, (v2_struct_0(X1)|v6_struct_0(X1)|k8_ringder1(X1,X2,X3)=k1_funct_1(X2,X3)|~v13_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)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1)))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1)))))|~m1_subset_1(X3,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_228])).
cnf(c_0_238, negated_conjecture, (m1_subset_1(k1_group_1(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229, c_0_136]), c_0_89])])).
cnf(c_0_239, plain, (k5_binom(X1,k5_struct_0(X1),np__1)=k5_struct_0(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_231]), c_0_136])).
cnf(c_0_240, plain, (v4_rlvect_1(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_232, c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76])]), c_0_69])).
cnf(c_0_241, plain, (k1_vectsp11(X1,X2,esk1_0)=k6_partfun1(u1_struct_0(X1))|~v1_funct_1(k1_vectsp11(X1,X2,esk1_0))|~v1_funct_1(X2)|~l1_struct_0(X1)|~v1_funct_2(k1_vectsp11(X1,X2,esk1_0),u1_struct_0(X1),u1_struct_0(X1))|~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))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233, c_0_234]), c_0_159])])).
cnf(c_0_242, plain, (v1_funct_2(k1_vectsp11(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X1))|~l1_struct_0(X1)|~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))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_226])).
cnf(c_0_243, plain, (m1_subset_1(k9_ringder1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1)))))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_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_235])).
cnf(c_0_244, plain, (v2_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_245, plain, (v3_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_246, plain, (v1_funct_1(k9_ringder1(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_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_235])).
cnf(c_0_247, plain, (v1_funct_2(k9_ringder1(X1),u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X1)))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_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_235])).
cnf(c_0_248, plain, (k1_funct_1(k4_relat_1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_236])).
cnf(c_0_249, plain, (k8_ringder1(X1,k6_partfun1(u1_struct_0(k12_polynom3(X1))),X2)=k1_funct_1(k6_partfun1(u1_struct_0(k12_polynom3(X1))),X2)|v6_struct_0(X1)|v2_struct_0(X1)|~v5_group_1(X1)|~v2_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237, c_0_189]), c_0_204]), c_0_205])])).
cnf(c_0_250, negated_conjecture, (m1_subset_1(k1_group_1(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_238, c_0_159])).
cnf(c_0_251, plain, (v5_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_252, plain, (~v6_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_253, plain, (k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers),np__1)=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)), 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_239, c_0_89]), c_0_144]), c_0_144]), c_0_240])]), c_0_85])).
cnf(c_0_254, plain, (k1_vectsp11(X1,X2,esk1_0)=k6_partfun1(u1_struct_0(X1))|~v1_funct_1(k1_vectsp11(X1,X2,esk1_0))|~v1_funct_1(X2)|~l1_struct_0(X1)|~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))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241, c_0_242]), c_0_159])])).
cnf(c_0_255, plain, (m1_subset_1(k9_ringder1(k1_int_3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))))), 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(spm,[status(thm)],[c_0_243, c_0_244]), c_0_245]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_113])]), c_0_69])).
cnf(c_0_256, plain, (v1_funct_1(k9_ringder1(k1_int_3))), 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(spm,[status(thm)],[c_0_246, c_0_244]), c_0_245]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_113])]), c_0_69])).
cnf(c_0_257, plain, (v1_funct_2(k9_ringder1(k1_int_3),u1_struct_0(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))), 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(spm,[status(thm)],[c_0_247, c_0_244]), c_0_245]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_113])]), c_0_69])).
cnf(c_0_258, plain, (v1_funct_1(k1_vectsp11(X1,X2,X3))|~l1_struct_0(X1)|~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))))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_226])).
cnf(c_0_259, plain, (k1_funct_1(k6_partfun1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(rw,[status(thm)],[c_0_248, c_0_187])).
cnf(c_0_260, negated_conjecture, (k1_funct_1(k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3))),k1_group_1(k12_polynom3(k1_int_3)))=k8_ringder1(k1_int_3,k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3))),k1_group_1(k12_polynom3(k1_int_3)))), 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_249, c_0_250]), c_0_251]), c_0_244]), c_0_245]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_113])]), c_0_252]), c_0_69])).
cnf(c_0_261, plain, (k2_newton(esk1_0)=np__1), inference(rw,[status(thm)],[c_0_162, c_0_225])).
cnf(c_0_262, plain, (k5_binom(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0),np__1)=k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_253, c_0_225]), c_0_225])).
cnf(c_0_263, plain, (k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0)=k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_funct_1(k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254, c_0_255]), c_0_256]), c_0_257])])).
cnf(c_0_264, plain, (v1_funct_1(k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),X1))|~l1_struct_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258, c_0_255]), c_0_256]), c_0_257])])).
cnf(c_0_265, negated_conjecture, (k8_ringder1(k1_int_3,k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3))),k1_group_1(k12_polynom3(k1_int_3)))=k1_group_1(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259, c_0_260]), c_0_250])])).
cnf(c_0_266, plain, (k1_group_1(k12_polynom3(k1_int_3))=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(rw,[status(thm)],[c_0_125, c_0_144])).
cnf(c_0_267, negated_conjecture, (k8_ringder1(k1_int_3,k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0))!=k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193, c_0_225]), c_0_261]), c_0_262])).
cnf(c_0_268, plain, (k1_vectsp11(k12_polynom3(k1_int_3),k9_ringder1(k1_int_3),esk1_0)=k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263, c_0_264]), c_0_159])])).
cnf(c_0_269, negated_conjecture, (k8_ringder1(k1_int_3,k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3))),k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers))=k2_binom(k12_polynom3(k1_int_3),esk2_0,k5_numbers)|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_265, c_0_266])).
cnf(c_0_270, negated_conjecture, (k8_ringder1(k1_int_3,k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3))),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0))!=k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0)|~l1_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_267, c_0_268])).
cnf(c_0_271, negated_conjecture, (k8_ringder1(k1_int_3,k6_partfun1(u1_struct_0(k12_polynom3(k1_int_3))),k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0))=k2_binom(k12_polynom3(k1_int_3),esk2_0,esk1_0)|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269, c_0_225]), c_0_225])).
cnf(c_0_272, negated_conjecture, (~l1_struct_0(k12_polynom3(k1_int_3))|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_270, c_0_271])).
cnf(c_0_273, negated_conjecture, (~l1_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272, c_0_136]), c_0_89])])).
cnf(c_0_274, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273, c_0_104]), c_0_89])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 275
# Proof object clause steps            : 163
# Proof object formula steps           : 112
# Proof object conjectures             : 46
# Proof object clause conjectures      : 43
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 72
# Proof object initial formulas used   : 50
# Proof object generating inferences   : 77
# Proof object simplifying inferences  : 170
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 52
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 98
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 94
# Processed clauses                    : 2021
# ...of these trivial                  : 10
# ...subsumed                          : 780
# ...remaining for further processing  : 1231
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 248
# Backward-rewritten                   : 327
# Generated clauses                    : 2271
# ...of the previous two non-trivial   : 2416
# Contextual simplify-reflections      : 78
# Paramodulations                      : 2268
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 565
#    Positive orientable unit clauses  : 72
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 487
# Current number of unprocessed clauses: 520
# ...number of literals in the above   : 2305
# Current number of archived formulas  : 0
# Current number of archived clauses   : 666
# Clause-clause subsumption calls (NU) : 284900
# Rec. Clause-clause subsumption calls : 129668
# Non-unit clause-clause subsumptions  : 1095
# Unit Clause-clause subsumption calls : 7280
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 97
# BW rewrite match successes           : 14
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 80769

# -------------------------------------------------
# User time                : 0.161 s
# System time              : 0.009 s
# Total time               : 0.170 s
# Maximum resident set size: 3456 pages
