# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C37_SOS_F1_PI_AE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.027 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 48
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 90
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 87
# Processed clauses                    : 18225
# ...of these trivial                  : 4344
# ...subsumed                          : 11359
# ...remaining for further processing  : 2522
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 16378
# Backward-subsumed                    : 222
# Backward-rewritten                   : 2
# Generated clauses                    : 2266731
# ...of the previous two non-trivial   : 2264048
# Contextual simplify-reflections      : 487
# Paramodulations                      : 2266723
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 8
# 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  : 2215
#    Positive orientable unit clauses  : 31
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 2179
# Current number of unprocessed clauses: 603614
# ...number of literals in the above   : 17053799
# Current number of archived formulas  : 0
# Current number of archived clauses   : 308
# Clause-clause subsumption calls (NU) : 4151447
# Rec. Clause-clause subsumption calls : 32696
# Non-unit clause-clause subsumptions  : 12068
# Unit Clause-clause subsumption calls : 145
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 268457231
# No success with AutoSched0
# Trying AutoSched1 for 71 seconds
# AutoSched1-Mode selected heuristic G_E___208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I
# and selection function SelectVGNonCR.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 48
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 90
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 87
# Processed clauses                    : 20336
# ...of these trivial                  : 493
# ...subsumed                          : 5862
# ...remaining for further processing  : 13981
# Other redundant clauses eliminated   : 8
# Clauses deleted for lack of memory   : 8417
# Backward-subsumed                    : 213
# Backward-rewritten                   : 96
# Generated clauses                    : 3868728
# ...of the previous two non-trivial   : 3844342
# Contextual simplify-reflections      : 159
# Paramodulations                      : 3868720
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 8
# Propositional unsat checks           : 2
#    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       : 2.180
#    Propositional solver time         : 0.675
#    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  : 13581
#    Positive orientable unit clauses  : 3624
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 9951
# Current number of unprocessed clauses: 1072781
# ...number of literals in the above   : 2685514
# Current number of archived formulas  : 0
# Current number of archived clauses   : 393
# Clause-clause subsumption calls (NU) : 18580715
# Rec. Clause-clause subsumption calls : 5605700
# Non-unit clause-clause subsumptions  : 6167
# Unit Clause-clause subsumption calls : 1089904
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1141997
# BW rewrite match successes           : 66
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 138192580
# No success with AutoSched1
# Trying AutoSched2 for 23 seconds
# AutoSched2-Mode selected heuristic G_E___110_C45_F1_PI_SE_CS_SP_PS_S4S
# and selection function SelectNewComplexAHPNS.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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_trans2/e_trans2__t15_e_trans2', fc1_ring_4)).
fof(fc2_ring_4, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), file('e_trans2/e_trans2__t15_e_trans2', fc2_ring_4)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans2/e_trans2__t15_e_trans2', 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_trans2/e_trans2__t15_e_trans2', dt_l6_algstr_0)).
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_trans2/e_trans2__t15_e_trans2', dt_k12_polynom3)).
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_trans2/e_trans2__t15_e_trans2', redefinition_m1_ring_4)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('e_trans2/e_trans2__t15_e_trans2', dt_l1_algstr_0)).
fof(dt_k2_e_trans2, axiom, ![X1]:(v7_ordinal1(X1)=>m1_ring_4(k2_e_trans2(X1),k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), file('e_trans2/e_trans2__t15_e_trans2', dt_k2_e_trans2)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans2/e_trans2__t15_e_trans2', fc1_int_3)).
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_trans2/e_trans2__t15_e_trans2', dt_k2_binom)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans2/e_trans2__t15_e_trans2', dt_k1_int_3)).
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_trans2/e_trans2__t15_e_trans2', fc4_int_3)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('e_trans2/e_trans2__t15_e_trans2', dt_l4_algstr_0)).
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_trans2/e_trans2__t15_e_trans2', cc5_vectsp_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_trans2/e_trans2__t15_e_trans2', fc3_ring_4)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans2/e_trans2__t15_e_trans2', dt_l5_algstr_0)).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3), file('e_trans2/e_trans2__t15_e_trans2', fc3_int_3)).
fof(redefinition_k12_finseq_1, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>k12_finseq_1(X1,X2)=k5_finseq_1(X2)), file('e_trans2/e_trans2__t15_e_trans2', redefinition_k12_finseq_1)).
fof(dt_k12_finseq_1, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>m2_finseq_1(k12_finseq_1(X1,X2),X1)), file('e_trans2/e_trans2__t15_e_trans2', dt_k12_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('e_trans2/e_trans2__t15_e_trans2', redefinition_k9_finseq_1)).
fof(d4_e_trans2, axiom, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>k4_e_trans2(X1,X2)=k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))))), file('e_trans2/e_trans2__t15_e_trans2', d4_e_trans2)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('e_trans2/e_trans2__t15_e_trans2', redefinition_m2_finseq_1)).
fof(dt_k3_e_trans2, axiom, ![X1, X2]:(((v7_ordinal1(X1)&~(v8_ordinal1(X1)))&v7_ordinal1(X2))=>m2_finseq_1(k3_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))), file('e_trans2/e_trans2__t15_e_trans2', dt_k3_e_trans2)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('e_trans2/e_trans2__t15_e_trans2', redefinition_k5_numbers)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('e_trans2/e_trans2__t15_e_trans2', cc8_ordinal1)).
fof(dt_k7_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>m1_subset_1(k7_nat_d(X1,X2),k4_ordinal1)), file('e_trans2/e_trans2__t15_e_trans2', dt_k7_nat_d)).
fof(redefinition_k8_finseq_1, axiom, ![X1, X2, X3]:((m1_finseq_1(X2,X1)&m1_finseq_1(X3,X1))=>k8_finseq_1(X1,X2,X3)=k7_finseq_1(X2,X3)), file('e_trans2/e_trans2__t15_e_trans2', redefinition_k8_finseq_1)).
fof(d3_e_trans2, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m2_finseq_1(X3,u1_struct_0(k12_polynom3(k1_int_3)))=>(X3=k3_e_trans2(X1,X2)<=>(k3_finseq_1(X3)=X2&![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k4_finseq_1(X3))=>k1_funct_1(X3,X4)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X4),X1)))))))), file('e_trans2/e_trans2__t15_e_trans2', d3_e_trans2)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('e_trans2/e_trans2__t15_e_trans2', fc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('e_trans2/e_trans2__t15_e_trans2', spc1_numerals)).
fof(dt_m1_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))), file('e_trans2/e_trans2__t15_e_trans2', dt_m1_finseq_1)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('e_trans2/e_trans2__t15_e_trans2', dt_m2_finseq_1)).
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('e_trans2/e_trans2__t15_e_trans2', fc7_finseq_1)).
fof(cc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~(v1_zfmisc_1(X1))&v7_ordinal1(X1))), file('e_trans2/e_trans2__t15_e_trans2', cc1_nat_6)).
fof(t15_e_trans2, conjecture, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>((k3_finseq_1(k3_e_trans2(X1,X2))=X2&k3_finseq_1(k4_e_trans2(X1,X2))=k1_nat_1(X2,np__1))&k1_funct_1(k4_e_trans2(X1,X2),k1_nat_1(k3_finseq_1(k3_e_trans2(X1,X2)),np__1))=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1))))), file('e_trans2/e_trans2__t15_e_trans2', t15_e_trans2)).
fof(t22_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>k3_finseq_1(k7_finseq_1(X1,X2))=k1_nat_1(k3_finseq_1(X1),k3_finseq_1(X2)))), file('e_trans2/e_trans2__t15_e_trans2', t22_finseq_1)).
fof(t40_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(X1=k9_finseq_1(X2)<=>(k3_finseq_1(X1)=np__1&k1_funct_1(X1,np__1)=X2))), file('e_trans2/e_trans2__t15_e_trans2', t40_finseq_1)).
fof(dt_k9_finseq_1, axiom, ![X1]:(v1_relat_1(k9_finseq_1(X1))&v1_funct_1(k9_finseq_1(X1))), file('e_trans2/e_trans2__t15_e_trans2', dt_k9_finseq_1)).
fof(cc12_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v1_zfmisc_1(X1)), file('e_trans2/e_trans2__t15_e_trans2', cc12_ordinal1)).
fof(rd5_newton04, axiom, ![X1, X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>k1_funct_1(k7_finseq_1(X2,k9_finseq_1(X1)),k2_xcmplx_0(np__1,k3_finseq_1(X2)))=X1), file('e_trans2/e_trans2__t15_e_trans2', rd5_newton04)).
fof(redefinition_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)), file('e_trans2/e_trans2__t15_e_trans2', redefinition_k1_nat_1)).
fof(commutativity_k2_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)), file('e_trans2/e_trans2__t15_e_trans2', commutativity_k2_xcmplx_0)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('e_trans2/e_trans2__t15_e_trans2', cc1_xcmplx_0)).
fof(fc6_struct_0, axiom, ![X1]:((~(v7_struct_0(X1))&l1_struct_0(X1))=>~(v1_zfmisc_1(u1_struct_0(X1)))), file('e_trans2/e_trans2__t15_e_trans2', fc6_struct_0)).
fof(cc5_nat_1, axiom, ![X1]:(v1_xboole_0(X1)=>v8_ordinal1(X1)), file('e_trans2/e_trans2__t15_e_trans2', cc5_nat_1)).
fof(cc3_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(~(v6_struct_0(X1))=>~(v7_struct_0(X1)))), file('e_trans2/e_trans2__t15_e_trans2', cc3_struct_0)).
fof(fc8_ratfunc1, axiom, ![X1]:((((((~(v6_struct_0(X1))&v13_algstr_0(X1))&v5_vectsp_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&~(v6_struct_0(k12_polynom3(X1))))&v36_algstr_0(k12_polynom3(X1)))), file('e_trans2/e_trans2__t15_e_trans2', fc8_ratfunc1)).
fof(c_0_47, 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_48, 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_49, plain, ![X102]:((l2_struct_0(X102)|~l2_algstr_0(X102))&(l1_algstr_0(X102)|~l2_algstr_0(X102))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_50, plain, ![X105]:((l2_algstr_0(X105)|~l6_algstr_0(X105))&(l5_algstr_0(X105)|~l6_algstr_0(X105))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_51, 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_52, 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_53, plain, ![X110, X111]:(v2_struct_0(X110)|~l2_struct_0(X110)|v2_struct_0(X111)|~v2_ring_4(X111,X110)|~l1_struct_0(X111)|v1_ring_4(u1_struct_0(X111),X110)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])).
fof(c_0_54, plain, ![X112]:(((~v2_struct_0(k12_polynom3(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_vectsp_1(X112)|~l6_algstr_0(X112)))&(v36_algstr_0(k12_polynom3(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_vectsp_1(X112)|~l6_algstr_0(X112))))&(v2_ring_4(k12_polynom3(X112),X112)|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_vectsp_1(X112)|~l6_algstr_0(X112)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])).
cnf(c_0_55, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_56, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
fof(c_0_57, plain, ![X91]:(((~v2_struct_0(k12_polynom3(X91))|(v2_struct_0(X91)|~v13_algstr_0(X91)|~v3_rlvect_1(X91)|~v4_rlvect_1(X91)|~v5_vectsp_1(X91)|~l6_algstr_0(X91)))&(v36_algstr_0(k12_polynom3(X91))|(v2_struct_0(X91)|~v13_algstr_0(X91)|~v3_rlvect_1(X91)|~v4_rlvect_1(X91)|~v5_vectsp_1(X91)|~l6_algstr_0(X91))))&(l6_algstr_0(k12_polynom3(X91))|(v2_struct_0(X91)|~v13_algstr_0(X91)|~v3_rlvect_1(X91)|~v4_rlvect_1(X91)|~v5_vectsp_1(X91)|~l6_algstr_0(X91)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])).
fof(c_0_58, plain, ![X101]:(~l1_algstr_0(X101)|l1_struct_0(X101)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_59, plain, ![X127, X128, X129]:((~m1_ring_4(X129,X127,X128)|m1_subset_1(X129,X128)|(v2_struct_0(X127)|~l2_struct_0(X127)|v1_xboole_0(X128)|~v1_ring_4(X128,X127)))&(~m1_subset_1(X129,X128)|m1_ring_4(X129,X127,X128)|(v2_struct_0(X127)|~l2_struct_0(X127)|v1_xboole_0(X128)|~v1_ring_4(X128,X127)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])).
fof(c_0_60, plain, ![X95]:(~v7_ordinal1(X95)|m1_ring_4(k2_e_trans2(X95),k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_e_trans2])])).
fof(c_0_61, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
cnf(c_0_62, 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_53])).
cnf(c_0_63, 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_54])).
cnf(c_0_64, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_65, 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_57])).
cnf(c_0_66, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_67, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_68, 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_59])).
cnf(c_0_69, plain, (m1_ring_4(k2_e_trans2(X1),k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_70, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_71, plain, (v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|v2_struct_0(X1)|~l1_struct_0(k12_polynom3(X1))|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64]), c_0_65])).
cnf(c_0_72, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
fof(c_0_73, 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])).
cnf(c_0_74, plain, (m1_subset_1(k2_e_trans2(X1),u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_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)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])).
cnf(c_0_75, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_76, plain, (v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|v2_struct_0(X1)|~l2_algstr_0(k12_polynom3(X1))|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_71, c_0_72])).
cnf(c_0_77, 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_57])).
fof(c_0_78, 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_79, plain, ![X92, X93, X94]:(v2_struct_0(X92)|~v1_group_1(X92)|~l3_algstr_0(X92)|~m1_subset_1(X93,u1_struct_0(X92))|~v7_ordinal1(X94)|m1_subset_1(k2_binom(X92,X93,X94),u1_struct_0(X92))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])).
cnf(c_0_80, plain, (m1_subset_1(k2_e_trans2(X1),u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_64]), c_0_75])])).
cnf(c_0_81, plain, (v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_56]), c_0_77])).
cnf(c_0_82, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_83, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_84, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_85, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_86, 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_79])).
cnf(c_0_87, plain, (m1_subset_1(k2_e_trans2(X1),u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X1)), 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_80, c_0_81]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85])]), c_0_70])).
fof(c_0_88, plain, ![X103]:((l3_struct_0(X103)|~l4_algstr_0(X103))&(l3_algstr_0(X103)|~l4_algstr_0(X103))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
fof(c_0_89, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
cnf(c_0_90, plain, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(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(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_91, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_88])).
fof(c_0_92, plain, ![X78]:((~v2_struct_0(X78)|(v2_struct_0(X78)|~v4_vectsp_1(X78))|~l4_algstr_0(X78))&(v1_group_1(X78)|(v2_struct_0(X78)|~v4_vectsp_1(X78))|~l4_algstr_0(X78))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])).
fof(c_0_93, 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_94, plain, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_group_1(k12_polynom3(k1_int_3))|~l4_algstr_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_90, c_0_91])).
cnf(c_0_95, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
fof(c_0_96, 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_93])])])).
fof(c_0_97, plain, ![X104]:((l4_algstr_0(X104)|~l5_algstr_0(X104))&(l4_struct_0(X104)|~l5_algstr_0(X104))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
cnf(c_0_98, plain, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v4_vectsp_1(k12_polynom3(k1_int_3))|~l4_algstr_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_94, c_0_95])).
cnf(c_0_99, 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_96])).
cnf(c_0_100, plain, (v4_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[fc3_int_3])).
cnf(c_0_101, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_102, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
fof(c_0_103, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>k12_finseq_1(X1,X2)=k5_finseq_1(X2)), inference(fof_simplification,[status(thm)],[redefinition_k12_finseq_1])).
fof(c_0_104, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>m2_finseq_1(k12_finseq_1(X1,X2),X1)), inference(fof_simplification,[status(thm)],[dt_k12_finseq_1])).
cnf(c_0_105, plain, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~l4_algstr_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), 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(spm,[status(thm)],[c_0_98, c_0_99]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_100])]), c_0_70])).
cnf(c_0_106, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_101, c_0_102])).
fof(c_0_107, plain, ![X119, X120]:(v1_xboole_0(X119)|~m1_subset_1(X120,X119)|k12_finseq_1(X119,X120)=k5_finseq_1(X120)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])).
fof(c_0_108, plain, ![X126]:k9_finseq_1(X126)=k5_finseq_1(X126), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_109, plain, ![X89, X90]:(v1_xboole_0(X89)|~m1_subset_1(X90,X89)|m2_finseq_1(k12_finseq_1(X89,X90),X89)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])).
cnf(c_0_110, plain, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~l6_algstr_0(k12_polynom3(k1_int_3))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_111, plain, (v1_xboole_0(X1)|k12_finseq_1(X1,X2)=k5_finseq_1(X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_112, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
fof(c_0_113, plain, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>k4_e_trans2(X1,X2)=k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))))), inference(fof_simplification,[status(thm)],[d4_e_trans2])).
cnf(c_0_114, plain, (v1_xboole_0(X1)|m2_finseq_1(k12_finseq_1(X1,X2),X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_115, plain, (m1_subset_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), 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_110, c_0_77]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85])]), c_0_70])).
cnf(c_0_116, plain, (k12_finseq_1(X1,X2)=k9_finseq_1(X2)|v1_xboole_0(X1)|~m1_subset_1(X2,X1)), inference(rw,[status(thm)],[c_0_111, c_0_112])).
fof(c_0_117, plain, ![X87, X88]:(~v7_ordinal1(X87)|~v1_int_2(X87)|v1_abian(X87)|(~v7_ordinal1(X88)|~v2_xxreal_0(X88)|k4_e_trans2(X87,X88)=k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X87,X88),k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X87,np__1)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])])).
fof(c_0_118, plain, ![X130, X131]:((~m2_finseq_1(X131,X130)|m1_finseq_1(X131,X130))&(~m1_finseq_1(X131,X130)|m2_finseq_1(X131,X130))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
cnf(c_0_119, plain, (m2_finseq_1(k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2)),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_120, plain, (k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2))=k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_116, c_0_115])).
fof(c_0_121, plain, ![X1, X2]:(((v7_ordinal1(X1)&~v8_ordinal1(X1))&v7_ordinal1(X2))=>m2_finseq_1(k3_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))), inference(fof_simplification,[status(thm)],[dt_k3_e_trans2])).
cnf(c_0_122, plain, (v1_abian(X1)|k4_e_trans2(X1,X2)=k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1))))|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v2_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_117])).
cnf(c_0_123, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_124, plain, ![X79]:(~m1_subset_1(X79,k4_ordinal1)|v7_ordinal1(X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_125, plain, ![X98, X99]:(~v7_ordinal1(X98)|~v7_ordinal1(X99)|m1_subset_1(k7_nat_d(X98,X99),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_nat_d])])).
fof(c_0_126, plain, ![X123, X124, X125]:(~m1_finseq_1(X124,X123)|~m1_finseq_1(X125,X123)|k8_finseq_1(X123,X124,X125)=k7_finseq_1(X124,X125)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_finseq_1])])).
cnf(c_0_127, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_128, plain, (m2_finseq_1(k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2)),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_119, c_0_120])).
fof(c_0_129, plain, ![X96, X97]:(~v7_ordinal1(X96)|v8_ordinal1(X96)|~v7_ordinal1(X97)|m2_finseq_1(k3_e_trans2(X96,X97),u1_struct_0(k12_polynom3(k1_int_3)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])).
fof(c_0_130, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m2_finseq_1(X3,u1_struct_0(k12_polynom3(k1_int_3)))=>(X3=k3_e_trans2(X1,X2)<=>(k3_finseq_1(X3)=X2&![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k4_finseq_1(X3))=>k1_funct_1(X3,X4)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X4),X1)))))))), inference(fof_simplification,[status(thm)],[d3_e_trans2])).
cnf(c_0_131, plain, (k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k12_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(X1,np__1))))=k4_e_trans2(X1,X2)|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_122, c_0_123])).
cnf(c_0_132, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_133, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_124])).
cnf(c_0_134, plain, (m1_subset_1(k7_nat_d(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_125])).
cnf(c_0_135, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_136, plain, (k8_finseq_1(X2,X1,X3)=k7_finseq_1(X1,X3)|~m1_finseq_1(X1,X2)|~m1_finseq_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_126])).
cnf(c_0_137, plain, (m1_finseq_1(k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X1),X2)),u1_struct_0(k12_polynom3(k1_int_3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_127, c_0_128])).
cnf(c_0_138, plain, (v8_ordinal1(X1)|m2_finseq_1(k3_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_129])).
fof(c_0_139, plain, ![X82, X83, X84, X85]:(((k3_finseq_1(X84)=X83|X84!=k3_e_trans2(X82,X83)|~m2_finseq_1(X84,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X83)|(~v7_ordinal1(X82)|v8_ordinal1(X82)))&(~v7_ordinal1(X85)|(~r2_tarski(X85,k4_finseq_1(X84))|k1_funct_1(X84,X85)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X85),X82))|X84!=k3_e_trans2(X82,X83)|~m2_finseq_1(X84,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X83)|(~v7_ordinal1(X82)|v8_ordinal1(X82))))&((v7_ordinal1(esk3_3(X82,X83,X84))|k3_finseq_1(X84)!=X83|X84=k3_e_trans2(X82,X83)|~m2_finseq_1(X84,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X83)|(~v7_ordinal1(X82)|v8_ordinal1(X82)))&((r2_tarski(esk3_3(X82,X83,X84),k4_finseq_1(X84))|k3_finseq_1(X84)!=X83|X84=k3_e_trans2(X82,X83)|~m2_finseq_1(X84,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X83)|(~v7_ordinal1(X82)|v8_ordinal1(X82)))&(k1_funct_1(X84,esk3_3(X82,X83,X84))!=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_3(X82,X83,X84)),X82)|k3_finseq_1(X84)!=X83|X84=k3_e_trans2(X82,X83)|~m2_finseq_1(X84,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X83)|(~v7_ordinal1(X82)|v8_ordinal1(X82)))))), 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_130])])])])])).
fof(c_0_140, plain, ![X106, X107]:(((v1_relat_1(X107)|~m1_finseq_1(X107,X106))&(v1_funct_1(X107)|~m1_finseq_1(X107,X106)))&(v1_finseq_1(X107)|~m1_finseq_1(X107,X106))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
fof(c_0_141, plain, ![X108, X109]:(((v1_funct_1(X109)|~m2_finseq_1(X109,X108))&(v1_finseq_1(X109)|~m2_finseq_1(X109,X108)))&(m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X108)))|~m2_finseq_1(X109,X108))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
cnf(c_0_142, plain, (k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(X1,np__1))))=k4_e_trans2(X1,X2)|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(k7_nat_d(X1,np__1))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_120]), c_0_132])])).
cnf(c_0_143, plain, (v7_ordinal1(k7_nat_d(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_133, c_0_134])).
cnf(c_0_144, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_133, c_0_135])).
cnf(c_0_145, plain, (k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),X1,k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X2),X3)))=k7_finseq_1(X1,k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X2),X3)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_136, c_0_137])).
cnf(c_0_146, plain, (m1_finseq_1(k3_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))|v8_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_127, c_0_138])).
fof(c_0_147, plain, ![X115]:v1_finseq_1(k5_finseq_1(X115)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_148, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~v1_zfmisc_1(X1)&v7_ordinal1(X1))), inference(fof_simplification,[status(thm)],[cc1_nat_6])).
fof(c_0_149, negated_conjecture, ~(![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>((k3_finseq_1(k3_e_trans2(X1,X2))=X2&k3_finseq_1(k4_e_trans2(X1,X2))=k1_nat_1(X2,np__1))&k1_funct_1(k4_e_trans2(X1,X2),k1_nat_1(k3_finseq_1(k3_e_trans2(X1,X2)),np__1))=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t15_e_trans2])])).
fof(c_0_150, plain, ![X132, X133]:(~v1_relat_1(X132)|~v1_funct_1(X132)|~v1_finseq_1(X132)|(~v1_relat_1(X133)|~v1_funct_1(X133)|~v1_finseq_1(X133)|k3_finseq_1(k7_finseq_1(X132,X133))=k1_nat_1(k3_finseq_1(X132),k3_finseq_1(X133)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_finseq_1])])])).
cnf(c_0_151, plain, (k3_finseq_1(X1)=X2|v8_ordinal1(X3)|X1!=k3_e_trans2(X3,X2)|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_139])).
cnf(c_0_152, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_140])).
cnf(c_0_153, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_141])).
cnf(c_0_154, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_141])).
cnf(c_0_155, plain, (k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(X1,np__1))))=k4_e_trans2(X1,X2)|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_144])])).
cnf(c_0_156, plain, (k8_finseq_1(u1_struct_0(k12_polynom3(k1_int_3)),k3_e_trans2(X1,X2),k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X4)))=k7_finseq_1(k3_e_trans2(X1,X2),k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X4)))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v8_ordinal1(X1)|~v7_ordinal1(X4)|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_145, c_0_146])).
fof(c_0_157, plain, ![X134, X135]:(((k3_finseq_1(X134)=np__1|X134!=k9_finseq_1(X135)|(~v1_relat_1(X134)|~v1_funct_1(X134)|~v1_finseq_1(X134)))&(k1_funct_1(X134,np__1)=X135|X134!=k9_finseq_1(X135)|(~v1_relat_1(X134)|~v1_funct_1(X134)|~v1_finseq_1(X134))))&(k3_finseq_1(X134)!=np__1|k1_funct_1(X134,np__1)!=X135|X134=k9_finseq_1(X135)|(~v1_relat_1(X134)|~v1_funct_1(X134)|~v1_finseq_1(X134)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_finseq_1])])])])).
cnf(c_0_158, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_147])).
fof(c_0_159, plain, ![X100]:(v1_relat_1(k9_finseq_1(X100))&v1_funct_1(k9_finseq_1(X100))), inference(variable_rename,[status(thm)],[dt_k9_finseq_1])).
fof(c_0_160, plain, ![X74]:((~v1_zfmisc_1(X74)|(~v7_ordinal1(X74)|~v1_int_2(X74)))&(v7_ordinal1(X74)|(~v7_ordinal1(X74)|~v1_int_2(X74)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])])).
fof(c_0_161, negated_conjecture, (((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&~v1_abian(esk1_0))&((v7_ordinal1(esk2_0)&v2_xxreal_0(esk2_0))&(k3_finseq_1(k3_e_trans2(esk1_0,esk2_0))!=esk2_0|k3_finseq_1(k4_e_trans2(esk1_0,esk2_0))!=k1_nat_1(esk2_0,np__1)|k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k1_nat_1(k3_finseq_1(k3_e_trans2(esk1_0,esk2_0)),np__1))!=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(esk1_0,np__1))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_149])])])).
cnf(c_0_162, plain, (k3_finseq_1(k7_finseq_1(X1,X2))=k1_nat_1(k3_finseq_1(X1),k3_finseq_1(X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_150])).
cnf(c_0_163, plain, (k3_finseq_1(k3_e_trans2(X1,X2))=X2|v8_ordinal1(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_151]), c_0_138])).
cnf(c_0_164, plain, (v1_relat_1(k3_e_trans2(X1,X2))|v8_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_152, c_0_146])).
cnf(c_0_165, plain, (v1_funct_1(k3_e_trans2(X1,X2))|v8_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_153, c_0_138])).
cnf(c_0_166, plain, (v1_finseq_1(k3_e_trans2(X1,X2))|v8_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_154, c_0_138])).
cnf(c_0_167, plain, (k7_finseq_1(k3_e_trans2(X1,X2),k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(X1,np__1))))=k4_e_trans2(X1,X2)|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v8_ordinal1(X1)|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(k7_nat_d(X1,np__1))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_156]), c_0_132])])).
cnf(c_0_168, plain, (k3_finseq_1(X1)=np__1|X1!=k9_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_157])).
cnf(c_0_169, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_158, c_0_112])).
cnf(c_0_170, plain, (v1_funct_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_159])).
cnf(c_0_171, plain, (v1_relat_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_159])).
cnf(c_0_172, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_160])).
cnf(c_0_173, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_161])).
cnf(c_0_174, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_161])).
fof(c_0_175, plain, ![X73]:(~v8_ordinal1(X73)|v1_zfmisc_1(X73)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc12_ordinal1])])).
cnf(c_0_176, negated_conjecture, (k3_finseq_1(k3_e_trans2(esk1_0,esk2_0))!=esk2_0|k3_finseq_1(k4_e_trans2(esk1_0,esk2_0))!=k1_nat_1(esk2_0,np__1)|k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k1_nat_1(k3_finseq_1(k3_e_trans2(esk1_0,esk2_0)),np__1))!=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(esk1_0,np__1))), inference(split_conjunct,[status(thm)],[c_0_161])).
cnf(c_0_177, plain, (k3_finseq_1(k7_finseq_1(k3_e_trans2(X1,X2),X3))=k1_nat_1(X2,k3_finseq_1(X3))|v8_ordinal1(X1)|~v1_finseq_1(X3)|~v1_funct_1(X3)|~v1_relat_1(X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_163]), c_0_164]), c_0_165]), c_0_166])).
cnf(c_0_178, plain, (k7_finseq_1(k3_e_trans2(X1,X2),k9_finseq_1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(X1,np__1))))=k4_e_trans2(X1,X2)|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v8_ordinal1(X1)|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_143]), c_0_144])])).
cnf(c_0_179, plain, (k3_finseq_1(k9_finseq_1(X1))=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_168]), c_0_169]), c_0_170]), c_0_171])])).
cnf(c_0_180, negated_conjecture, (~v1_zfmisc_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_174])])).
cnf(c_0_181, plain, (v1_zfmisc_1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_175])).
fof(c_0_182, plain, ![X117, X118]:(~v1_relat_1(X118)|~v1_funct_1(X118)|~v1_finseq_1(X118)|k1_funct_1(k7_finseq_1(X118,k9_finseq_1(X117)),k2_xcmplx_0(np__1,k3_finseq_1(X118)))=X117), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_newton04])])).
cnf(c_0_183, negated_conjecture, (k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k1_nat_1(k3_finseq_1(k3_e_trans2(esk1_0,esk2_0)),np__1))!=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(esk1_0,np__1))|k3_finseq_1(k4_e_trans2(esk1_0,esk2_0))!=k1_nat_1(esk2_0,np__1)|k3_finseq_1(k3_e_trans2(esk1_0,esk2_0))!=esk2_0), inference(rw,[status(thm)],[c_0_176, c_0_123])).
cnf(c_0_184, plain, (k3_finseq_1(k4_e_trans2(X1,X2))=k1_nat_1(X2,np__1)|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v8_ordinal1(X1)|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), 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_177, c_0_178]), c_0_179]), c_0_169]), c_0_170]), c_0_171])])).
cnf(c_0_185, negated_conjecture, (v2_xxreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_161])).
cnf(c_0_186, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_161])).
cnf(c_0_187, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_180, c_0_181])).
cnf(c_0_188, negated_conjecture, (~v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_161])).
cnf(c_0_189, plain, (k1_funct_1(k7_finseq_1(X1,k9_finseq_1(X2)),k2_xcmplx_0(np__1,k3_finseq_1(X1)))=X2|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_182])).
cnf(c_0_190, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k1_nat_1(k3_finseq_1(k3_e_trans2(esk1_0,esk2_0)),np__1))!=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(esk1_0,np__1))|k3_finseq_1(k3_e_trans2(esk1_0,esk2_0))!=esk2_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(spm,[status(thm)],[c_0_183, c_0_184]), c_0_185]), c_0_173]), c_0_174]), c_0_186])]), c_0_187]), c_0_188])).
cnf(c_0_191, plain, (k1_funct_1(k7_finseq_1(k3_e_trans2(X1,X2),k9_finseq_1(X3)),k2_xcmplx_0(np__1,X2))=X3|v8_ordinal1(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_163]), c_0_164]), c_0_165]), c_0_166])).
fof(c_0_192, plain, ![X121, X122]:(~v7_ordinal1(X121)|~m1_subset_1(X122,k4_ordinal1)|k1_nat_1(X121,X122)=k2_xcmplx_0(X121,X122)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
fof(c_0_193, plain, ![X80, X81]:(~v1_xcmplx_0(X80)|~v1_xcmplx_0(X81)|k2_xcmplx_0(X80,X81)=k2_xcmplx_0(X81,X80)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
fof(c_0_194, plain, ![X75]:(~v7_ordinal1(X75)|v1_xcmplx_0(X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_195, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(esk1_0,np__1))!=k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k1_nat_1(esk2_0,np__1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_163]), c_0_174]), c_0_186])]), c_0_187])).
cnf(c_0_196, plain, (k1_funct_1(k4_e_trans2(X1,X2),k2_xcmplx_0(np__1,X2))=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_ordinal1),k7_nat_d(X1,np__1))|v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|v8_ordinal1(X1)|v1_abian(X1)|~v2_xxreal_0(X2)|~v1_int_2(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_191, c_0_178])).
cnf(c_0_197, plain, (k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_192])).
cnf(c_0_198, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_193])).
cnf(c_0_199, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_194])).
cnf(c_0_200, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|k1_funct_1(k4_e_trans2(esk1_0,X1),k2_xcmplx_0(np__1,X1))!=k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k1_nat_1(esk2_0,np__1))|~v2_xxreal_0(X1)|~v7_ordinal1(X1)), 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_195, c_0_196]), c_0_173]), c_0_174])]), c_0_187]), c_0_188])).
cnf(c_0_201, plain, (k1_nat_1(X1,np__1)=k2_xcmplx_0(X1,np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_197, c_0_135])).
cnf(c_0_202, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_198, c_0_199])).
fof(c_0_203, plain, ![X1]:((~v7_struct_0(X1)&l1_struct_0(X1))=>~v1_zfmisc_1(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc6_struct_0])).
cnf(c_0_204, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|k1_funct_1(k4_e_trans2(esk1_0,X1),k2_xcmplx_0(np__1,X1))!=k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k2_xcmplx_0(esk2_0,np__1))|~v2_xxreal_0(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200, c_0_201]), c_0_186])])).
cnf(c_0_205, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_202, c_0_199])).
fof(c_0_206, plain, ![X114]:(v7_struct_0(X114)|~l1_struct_0(X114)|~v1_zfmisc_1(u1_struct_0(X114))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_203])])).
fof(c_0_207, plain, ![X77]:(~v1_xboole_0(X77)|v8_ordinal1(X77)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_nat_1])])).
cnf(c_0_208, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|k1_funct_1(k4_e_trans2(esk1_0,X1),k2_xcmplx_0(X1,np__1))!=k1_funct_1(k4_e_trans2(esk1_0,esk2_0),k2_xcmplx_0(esk2_0,np__1))|~v2_xxreal_0(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204, c_0_205]), c_0_144])])).
cnf(c_0_209, plain, (v7_struct_0(X1)|~l1_struct_0(X1)|~v1_zfmisc_1(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_206])).
cnf(c_0_210, plain, (v8_ordinal1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_207])).
cnf(c_0_211, negated_conjecture, (v2_struct_0(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(rw,[status(thm)],[inference(er,[status(thm)],[c_0_208]), c_0_185]), c_0_186])])).
cnf(c_0_212, plain, (v7_struct_0(X1)|~l1_struct_0(X1)|~v8_ordinal1(u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_209, c_0_181])).
cnf(c_0_213, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v8_ordinal1(u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_210, c_0_211])).
cnf(c_0_214, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v7_struct_0(k12_polynom3(k1_int_3))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_212, c_0_213])).
fof(c_0_215, plain, ![X1]:(l4_struct_0(X1)=>(~v6_struct_0(X1)=>~v7_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc3_struct_0])).
cnf(c_0_216, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v7_struct_0(k12_polynom3(k1_int_3))|~l2_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_214, c_0_72])).
fof(c_0_217, plain, ![X76]:(~l4_struct_0(X76)|(v6_struct_0(X76)|~v7_struct_0(X76))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_215])])).
cnf(c_0_218, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v7_struct_0(k12_polynom3(k1_int_3))|~l6_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_216, c_0_56])).
cnf(c_0_219, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_217])).
cnf(c_0_220, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v7_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(spm,[status(thm)],[c_0_218, c_0_77]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85])]), c_0_70])).
cnf(c_0_221, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v6_struct_0(k12_polynom3(k1_int_3))|~l4_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_219, c_0_220])).
cnf(c_0_222, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
fof(c_0_223, plain, ![X1]:((((((~v6_struct_0(X1)&v13_algstr_0(X1))&v5_vectsp_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&~v6_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc8_ratfunc1])).
cnf(c_0_224, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v6_struct_0(k12_polynom3(k1_int_3))|~l5_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_221, c_0_222])).
fof(c_0_225, plain, ![X116]:(((~v2_struct_0(k12_polynom3(X116))|(v6_struct_0(X116)|~v13_algstr_0(X116)|~v5_vectsp_1(X116)|~v3_rlvect_1(X116)|~v4_rlvect_1(X116)|~l6_algstr_0(X116)))&(~v6_struct_0(k12_polynom3(X116))|(v6_struct_0(X116)|~v13_algstr_0(X116)|~v5_vectsp_1(X116)|~v3_rlvect_1(X116)|~v4_rlvect_1(X116)|~l6_algstr_0(X116))))&(v36_algstr_0(k12_polynom3(X116))|(v6_struct_0(X116)|~v13_algstr_0(X116)|~v5_vectsp_1(X116)|~v3_rlvect_1(X116)|~v4_rlvect_1(X116)|~l6_algstr_0(X116)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_223])])])).
cnf(c_0_226, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v6_struct_0(k12_polynom3(k1_int_3))|~l6_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_224, c_0_102])).
cnf(c_0_227, plain, (v6_struct_0(X1)|~v6_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v5_vectsp_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_225])).
cnf(c_0_228, negated_conjecture, (v2_struct_0(k12_polynom3(k1_int_3))|v6_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(spm,[status(thm)],[c_0_226, c_0_77]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85])]), c_0_70])).
cnf(c_0_229, plain, (~v6_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_230, plain, (v6_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v5_vectsp_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_225])).
cnf(c_0_231, negated_conjecture, (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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227, c_0_228]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85])]), c_0_229])).
cnf(c_0_232, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_231]), c_0_75]), c_0_82]), c_0_83]), c_0_84]), c_0_85])]), c_0_229]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 233
# Proof object clause steps            : 127
# Proof object formula steps           : 106
# Proof object conjectures             : 29
# Proof object clause conjectures      : 26
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 63
# Proof object initial formulas used   : 47
# Proof object generating inferences   : 58
# Proof object simplifying inferences  : 111
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 48
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 90
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 87
# Processed clauses                    : 1984
# ...of these trivial                  : 0
# ...subsumed                          : 1179
# ...remaining for further processing  : 805
# Other redundant clauses eliminated   : 9
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 169
# Backward-rewritten                   : 5
# Generated clauses                    : 5992
# ...of the previous two non-trivial   : 5799
# Contextual simplify-reflections      : 132
# Paramodulations                      : 5965
# Factorizations                       : 16
# NegExts                              : 0
# Equation resolutions                 : 11
# 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  : 540
#    Positive orientable unit clauses  : 27
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 508
# Current number of unprocessed clauses: 3899
# ...number of literals in the above   : 59241
# Current number of archived formulas  : 0
# Current number of archived clauses   : 258
# Clause-clause subsumption calls (NU) : 276076
# Rec. Clause-clause subsumption calls : 8652
# Non-unit clause-clause subsumptions  : 1480
# Unit Clause-clause subsumption calls : 35
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 333375

# -------------------------------------------------
# User time                : 227.597 s
# System time              : 5.177 s
# Total time               : 232.774 s
# Maximum resident set size: 3428 pages
