# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.030 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 31
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 68
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 66
# Processed clauses                    : 63370
# ...of these trivial                  : 676
# ...subsumed                          : 37748
# ...remaining for further processing  : 24946
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 12485
# Backward-subsumed                    : 945
# Backward-rewritten                   : 1
# Generated clauses                    : 2431360
# ...of the previous two non-trivial   : 2430903
# Contextual simplify-reflections      : 1934
# Paramodulations                      : 2430418
# Factorizations                       : 22
# NegExts                              : 0
# Equation resolutions                 : 920
# 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  : 23933
#    Positive orientable unit clauses  : 165
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 23764
# Current number of unprocessed clauses: 1070261
# ...number of literals in the above   : 7895837
# Current number of archived formulas  : 0
# Current number of archived clauses   : 1013
# Clause-clause subsumption calls (NU) : 109011719
# Rec. Clause-clause subsumption calls : 2155784
# Non-unit clause-clause subsumptions  : 40627
# Unit Clause-clause subsumption calls : 316581
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2960
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 113323413
# No success with AutoSched0
# Trying AutoSched1 for 71 seconds
# AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 31
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 68
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 66
# Processed clauses                    : 50410
# ...of these trivial                  : 81
# ...subsumed                          : 30329
# ...remaining for further processing  : 20000
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 803
# Backward-rewritten                   : 13
# Generated clauses                    : 297980
# ...of the previous two non-trivial   : 296935
# Contextual simplify-reflections      : 1098
# Paramodulations                      : 297806
# Factorizations                       : 168
# NegExts                              : 0
# Equation resolutions                 : 6
# Propositional unsat checks           : 4
#    Propositional check models        : 1
#    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       : 3.376
#    Propositional solver time         : 0.873
#    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  : 19113
#    Positive orientable unit clauses  : 392
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 18717
# Current number of unprocessed clauses: 246340
# ...number of literals in the above   : 1433221
# Current number of archived formulas  : 0
# Current number of archived clauses   : 883
# Clause-clause subsumption calls (NU) : 69022833
# Rec. Clause-clause subsumption calls : 5235339
# Non-unit clause-clause subsumptions  : 32199
# Unit Clause-clause subsumption calls : 491979
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2346
# BW rewrite match successes           : 26
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 35034776
# No success with AutoSched1
# Trying AutoSched2 for 23 seconds
# AutoSched2-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S08CI
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t29_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k3_finseq_2(k1_gr_free0(X2)))&k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))&k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))))), file('gr_free0/gr_free0__t29_gr_free0', t29_gr_free0)).
fof(dt_k2_gr_free0, axiom, ![X1, X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>m1_subset_1(k2_gr_free0(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))))), file('gr_free0/gr_free0__t29_gr_free0', dt_k2_gr_free0)).
fof(dt_k10_monoid_0, axiom, ![X1]:(((~(v2_struct_0(k10_monoid_0(X1)))&v22_algstr_0(k10_monoid_0(X1)))&v4_vectsp_1(k10_monoid_0(X1)))&m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), file('gr_free0/gr_free0__t29_gr_free0', dt_k10_monoid_0)).
fof(dt_k9_monoid_0, axiom, ![X1]:(((((((~(v2_struct_0(k9_monoid_0(X1)))&v15_algstr_0(k9_monoid_0(X1)))&v1_group_1(k9_monoid_0(X1)))&v3_group_1(k9_monoid_0(X1)))&v2_monoid_0(k9_monoid_0(X1)))&v16_monoid_0(k9_monoid_0(X1)))&v17_monoid_0(k9_monoid_0(X1)))&l3_algstr_0(k9_monoid_0(X1))), file('gr_free0/gr_free0__t29_gr_free0', dt_k9_monoid_0)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('gr_free0/gr_free0__t29_gr_free0', cc2_relset_1)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('gr_free0/gr_free0__t29_gr_free0', cc1_relset_1)).
fof(dt_k5_struct_0, axiom, ![X1]:(l3_struct_0(X1)=>m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))), file('gr_free0/gr_free0__t29_gr_free0', dt_k5_struct_0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('gr_free0/gr_free0__t29_gr_free0', dt_l4_algstr_0)).
fof(dt_m1_monoid_0, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(m1_monoid_0(X2,X1)=>l4_algstr_0(X2))), file('gr_free0/gr_free0__t29_gr_free0', dt_m1_monoid_0)).
fof(fc12_finseq_1, axiom, ![X1]:~(v1_xboole_0(k13_finseq_1(X1))), file('gr_free0/gr_free0__t29_gr_free0', fc12_finseq_1)).
fof(redefinition_k2_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>k2_relset_1(X1,X2)=k10_xtuple_0(X2)), file('gr_free0/gr_free0__t29_gr_free0', redefinition_k2_relset_1)).
fof(t61_monoid_0, axiom, ![X1]:((u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X1)),u1_struct_0(k10_monoid_0(X1))),u1_struct_0(k10_monoid_0(X1)),k2_zfmisc_1(k3_finseq_2(X1),k3_finseq_2(X1)),k3_finseq_2(X1),u2_algstr_0(k10_monoid_0(X1)),k11_monoid_0(X1)))&k5_struct_0(k10_monoid_0(X1))=k1_xboole_0), file('gr_free0/gr_free0__t29_gr_free0', t61_monoid_0)).
fof(redefinition_k3_finseq_2, axiom, ![X1]:k3_finseq_2(X1)=k13_finseq_1(X1), file('gr_free0/gr_free0__t29_gr_free0', redefinition_k3_finseq_2)).
fof(dt_k2_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>m1_subset_1(k2_relset_1(X1,X2),k1_zfmisc_1(X1))), file('gr_free0/gr_free0__t29_gr_free0', dt_k2_relset_1)).
fof(d11_finseq_1, axiom, ![X1, X2]:(X2=k13_finseq_1(X1)<=>![X3]:(r2_hidden(X3,X2)<=>m2_finseq_1(X3,X1))), file('gr_free0/gr_free0__t29_gr_free0', d11_finseq_1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t29_gr_free0', t2_subset)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('gr_free0/gr_free0__t29_gr_free0', t3_subset)).
fof(t27_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X3))=>![X5]:(m2_finseq_1(X5,k1_gr_free0(X3))=>r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X4,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2))))),X5),k1_monoid_0(k1_gr_free0(X3),X4,X5)),k2_gr_free0(X1,X3))))))), file('gr_free0/gr_free0__t29_gr_free0', t27_gr_free0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t29_gr_free0', redefinition_r2_tarski)).
fof(d10_xboole_0, axiom, ![X1, X2]:(X1=X2<=>(r1_tarski(X1,X2)&r1_tarski(X2,X1))), file('gr_free0/gr_free0__t29_gr_free0', d10_xboole_0)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('gr_free0/gr_free0__t29_gr_free0', d3_tarski)).
fof(dt_o_1_2_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>m1_subset_1(o_1_2_gr_free0(X1),X1)), file('gr_free0/gr_free0__t29_gr_free0', dt_o_1_2_gr_free0)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('gr_free0/gr_free0__t29_gr_free0', redefinition_m2_finseq_1)).
fof(d13_xtuple_0, axiom, ![X1, X2]:(X2=k10_xtuple_0(X1)<=>![X3]:(r2_hidden(X3,X2)<=>?[X4]:r2_hidden(k4_tarski(X4,X3),X1))), file('gr_free0/gr_free0__t29_gr_free0', d13_xtuple_0)).
fof(redefinition_k1_monoid_0, axiom, ![X1, X2, X3]:((m1_finseq_1(X2,X1)&m1_finseq_1(X3,X1))=>k1_monoid_0(X1,X2,X3)=k7_finseq_1(X2,X3)), file('gr_free0/gr_free0__t29_gr_free0', redefinition_k1_monoid_0)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('gr_free0/gr_free0__t29_gr_free0', redefinition_k1_relset_1)).
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('gr_free0/gr_free0__t29_gr_free0', dt_m1_finseq_1)).
fof(dt_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>m1_subset_1(k1_relset_1(X1,X2),k1_zfmisc_1(X1))), file('gr_free0/gr_free0__t29_gr_free0', dt_k1_relset_1)).
fof(t34_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(k7_finseq_1(X1,k1_xboole_0)=X1&k7_finseq_1(k1_xboole_0,X1)=X1)), file('gr_free0/gr_free0__t29_gr_free0', t34_finseq_1)).
fof(d6_relat_1, axiom, ![X1]:(v1_relat_1(X1)=>k1_relat_1(X1)=k2_xboole_0(k9_xtuple_0(X1),k10_xtuple_0(X1))), file('gr_free0/gr_free0__t29_gr_free0', d6_relat_1)).
fof(t12_xboole_1, axiom, ![X1, X2]:(r1_tarski(X1,X2)=>k2_xboole_0(X1,X2)=X2), file('gr_free0/gr_free0__t29_gr_free0', t12_xboole_1)).
fof(c_0_31, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k3_finseq_2(k1_gr_free0(X2)))&k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))&k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t29_gr_free0])])).
fof(c_0_32, plain, ![X106, X107]:(~v1_relat_1(X107)|~v4_relat_1(X107,X106)|~v1_funct_1(X107)|~v1_partfun1(X107,X106)|~v1_group_7(X107)|~v2_group_7(X107,X106)|m1_subset_1(k2_gr_free0(X106,X107),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X107))),u1_struct_0(k10_monoid_0(k1_gr_free0(X107))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
fof(c_0_33, negated_conjecture, (~v1_xboole_0(esk1_0)&((((((v1_relat_1(esk2_0)&v4_relat_1(esk2_0,esk1_0))&v1_funct_1(esk2_0))&v1_partfun1(esk2_0,esk1_0))&v1_group_7(esk2_0))&v2_group_7(esk2_0,esk1_0))&(~r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k3_finseq_2(k1_gr_free0(esk2_0)))|k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))!=k3_finseq_2(k1_gr_free0(esk2_0))|k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=k3_finseq_2(k1_gr_free0(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
fof(c_0_34, plain, ![X1]:(((~v2_struct_0(k10_monoid_0(X1))&v22_algstr_0(k10_monoid_0(X1)))&v4_vectsp_1(k10_monoid_0(X1)))&m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(fof_simplification,[status(thm)],[dt_k10_monoid_0])).
fof(c_0_35, plain, ![X1]:(((((((~v2_struct_0(k9_monoid_0(X1))&v15_algstr_0(k9_monoid_0(X1)))&v1_group_1(k9_monoid_0(X1)))&v3_group_1(k9_monoid_0(X1)))&v2_monoid_0(k9_monoid_0(X1)))&v16_monoid_0(k9_monoid_0(X1)))&v17_monoid_0(k9_monoid_0(X1)))&l3_algstr_0(k9_monoid_0(X1))), inference(fof_simplification,[status(thm)],[dt_k9_monoid_0])).
fof(c_0_36, plain, ![X73, X74, X75]:((v4_relat_1(X75,X73)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X73,X74))))&(v5_relat_1(X75,X74)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X73,X74))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_37, plain, (m1_subset_1(k2_gr_free0(X2,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(X1))))))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_38, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_39, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_40, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_41, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_42, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_43, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_44, plain, ![X70, X71, X72]:(~m1_subset_1(X72,k1_zfmisc_1(k2_zfmisc_1(X70,X71)))|v1_relat_1(X72)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_45, plain, ![X110]:(~l3_struct_0(X110)|m1_subset_1(k5_struct_0(X110),u1_struct_0(X110))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_struct_0])])).
fof(c_0_46, plain, ![X112]:((l3_struct_0(X112)|~l4_algstr_0(X112))&(l3_algstr_0(X112)|~l4_algstr_0(X112))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
fof(c_0_47, plain, ![X115, X116]:(~l3_algstr_0(X115)|(~m1_monoid_0(X116,X115)|l4_algstr_0(X116))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_monoid_0])])])).
fof(c_0_48, plain, ![X103]:(((~v2_struct_0(k10_monoid_0(X103))&v22_algstr_0(k10_monoid_0(X103)))&v4_vectsp_1(k10_monoid_0(X103)))&m1_monoid_0(k10_monoid_0(X103),k9_monoid_0(X103))), inference(variable_rename,[status(thm)],[c_0_34])).
fof(c_0_49, plain, ![X111]:(((((((~v2_struct_0(k9_monoid_0(X111))&v15_algstr_0(k9_monoid_0(X111)))&v1_group_1(k9_monoid_0(X111)))&v3_group_1(k9_monoid_0(X111)))&v2_monoid_0(k9_monoid_0(X111)))&v16_monoid_0(k9_monoid_0(X111)))&v17_monoid_0(k9_monoid_0(X111)))&l3_algstr_0(k9_monoid_0(X111))), inference(variable_rename,[status(thm)],[c_0_35])).
fof(c_0_50, plain, ![X1]:~v1_xboole_0(k13_finseq_1(X1)), inference(fof_simplification,[status(thm)],[fc12_finseq_1])).
fof(c_0_51, plain, ![X124, X125]:(~v1_relat_1(X125)|~v5_relat_1(X125,X124)|k2_relset_1(X124,X125)=k10_xtuple_0(X125)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_relset_1])])).
cnf(c_0_52, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_53, negated_conjecture, (m1_subset_1(k2_gr_free0(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))))), 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_37, c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])])).
cnf(c_0_54, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_55, plain, (m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))|~l3_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_56, plain, (l3_struct_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_57, plain, (l4_algstr_0(X2)|~l3_algstr_0(X1)|~m1_monoid_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_58, plain, (m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_59, plain, (l3_algstr_0(k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_60, plain, ![X143]:((u1_struct_0(k10_monoid_0(X143))=k3_finseq_2(X143)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X143)),u1_struct_0(k10_monoid_0(X143))),u1_struct_0(k10_monoid_0(X143)),k2_zfmisc_1(k3_finseq_2(X143),k3_finseq_2(X143)),k3_finseq_2(X143),u2_algstr_0(k10_monoid_0(X143)),k11_monoid_0(X143)))&k5_struct_0(k10_monoid_0(X143))=k1_xboole_0), inference(variable_rename,[status(thm)],[t61_monoid_0])).
fof(c_0_61, plain, ![X118]:~v1_xboole_0(k13_finseq_1(X118)), inference(variable_rename,[status(thm)],[c_0_50])).
fof(c_0_62, plain, ![X126]:k3_finseq_2(X126)=k13_finseq_1(X126), inference(variable_rename,[status(thm)],[redefinition_k3_finseq_2])).
fof(c_0_63, plain, ![X108, X109]:(~v1_relat_1(X109)|~v5_relat_1(X109,X108)|m1_subset_1(k2_relset_1(X108,X109),k1_zfmisc_1(X108))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_relset_1])])).
cnf(c_0_64, plain, (k2_relset_1(X2,X1)=k10_xtuple_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_65, negated_conjecture, (v5_relat_1(k2_gr_free0(esk1_0,esk2_0),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_66, negated_conjecture, (v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_54, c_0_53])).
fof(c_0_67, plain, ![X78, X79, X80, X81, X82, X83]:(((~r2_hidden(X80,X79)|m2_finseq_1(X80,X78)|X79!=k13_finseq_1(X78))&(~m2_finseq_1(X81,X78)|r2_hidden(X81,X79)|X79!=k13_finseq_1(X78)))&((~r2_hidden(esk3_2(X82,X83),X83)|~m2_finseq_1(esk3_2(X82,X83),X82)|X83=k13_finseq_1(X82))&(r2_hidden(esk3_2(X82,X83),X83)|m2_finseq_1(esk3_2(X82,X83),X82)|X83=k13_finseq_1(X82)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_finseq_1])])])])])])).
fof(c_0_68, plain, ![X138, X139]:(~m1_subset_1(X138,X139)|(v1_xboole_0(X139)|r2_tarski(X138,X139))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_69, plain, (m1_subset_1(k5_struct_0(X1),u1_struct_0(X1))|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_70, plain, (l4_algstr_0(k10_monoid_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])])).
cnf(c_0_71, plain, (k5_struct_0(k10_monoid_0(X1))=k1_xboole_0), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_72, plain, (~v1_xboole_0(k13_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_73, plain, (k3_finseq_2(X1)=k13_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_74, plain, (u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_75, plain, ![X141, X142]:((~m1_subset_1(X141,k1_zfmisc_1(X142))|r1_tarski(X141,X142))&(~r1_tarski(X141,X142)|m1_subset_1(X141,k1_zfmisc_1(X142)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
cnf(c_0_76, plain, (m1_subset_1(k2_relset_1(X2,X1),k1_zfmisc_1(X2))|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_77, negated_conjecture, (k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))=k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66])])).
fof(c_0_78, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X3))=>![X5]:(m2_finseq_1(X5,k1_gr_free0(X3))=>r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X4,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2))))),X5),k1_monoid_0(k1_gr_free0(X3),X4,X5)),k2_gr_free0(X1,X3))))))), inference(fof_simplification,[status(thm)],[t27_gr_free0])).
cnf(c_0_79, plain, (m2_finseq_1(X1,X3)|~r2_hidden(X1,X2)|X2!=k13_finseq_1(X3)), inference(split_conjunct,[status(thm)],[c_0_67])).
fof(c_0_80, plain, ![X129, X130]:((~r2_tarski(X129,X130)|r2_hidden(X129,X130))&(~r2_hidden(X129,X130)|r2_tarski(X129,X130))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_81, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_82, plain, (m1_subset_1(k1_xboole_0,u1_struct_0(k10_monoid_0(X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])).
cnf(c_0_83, plain, (~v1_xboole_0(u1_struct_0(k10_monoid_0(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73]), c_0_74])).
fof(c_0_84, plain, ![X76, X77]:(((r1_tarski(X76,X77)|X76!=X77)&(r1_tarski(X77,X76)|X76!=X77))&(~r1_tarski(X76,X77)|~r1_tarski(X77,X76)|X76=X77)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])).
cnf(c_0_85, plain, (r1_tarski(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(X2))), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_86, negated_conjecture, (m1_subset_1(k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),k1_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_65]), c_0_66])]), c_0_77])).
fof(c_0_87, plain, ![X133, X134, X135, X136, X137]:(v1_xboole_0(X133)|(~m1_subset_1(X134,X133)|(~v1_relat_1(X135)|~v4_relat_1(X135,X133)|~v1_funct_1(X135)|~v1_partfun1(X135,X133)|~v1_group_7(X135)|~v2_group_7(X135,X133)|(~m2_finseq_1(X136,k1_gr_free0(X135))|(~m2_finseq_1(X137,k1_gr_free0(X135))|r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X136,k9_finseq_1(k4_tarski(X134,k1_group_1(k1_group_7(X133,X135,X134))))),X137),k1_monoid_0(k1_gr_free0(X135),X136,X137)),k2_gr_free0(X133,X135))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])).
cnf(c_0_88, plain, (m2_finseq_1(X1,X3)|X2!=u1_struct_0(k10_monoid_0(X3))|~r2_hidden(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_73]), c_0_74])).
cnf(c_0_89, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_90, plain, (r2_tarski(k1_xboole_0,u1_struct_0(k10_monoid_0(X1)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83])).
cnf(c_0_91, plain, (X1=X2|~r1_tarski(X1,X2)|~r1_tarski(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_92, negated_conjecture, (r1_tarski(k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
fof(c_0_93, plain, ![X96, X97, X98, X99, X100]:((~r1_tarski(X96,X97)|(~r2_hidden(X98,X96)|r2_hidden(X98,X97)))&((r2_hidden(esk7_2(X99,X100),X99)|r1_tarski(X99,X100))&(~r2_hidden(esk7_2(X99,X100),X100)|r1_tarski(X99,X100)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
cnf(c_0_94, plain, (v1_xboole_0(X1)|r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X4,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2))))),X5),k1_monoid_0(k1_gr_free0(X3),X4,X5)),k2_gr_free0(X1,X3))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~m2_finseq_1(X4,k1_gr_free0(X3))|~m2_finseq_1(X5,k1_gr_free0(X3))), inference(split_conjunct,[status(thm)],[c_0_87])).
cnf(c_0_95, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_96, plain, (m2_finseq_1(X1,X2)|~r2_hidden(X1,u1_struct_0(k10_monoid_0(X2)))), inference(er,[status(thm)],[c_0_88])).
cnf(c_0_97, plain, (r2_hidden(k1_xboole_0,u1_struct_0(k10_monoid_0(X1)))), inference(spm,[status(thm)],[c_0_89, c_0_90])).
cnf(c_0_98, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|~r1_tarski(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_99, plain, (r2_hidden(esk7_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_93])).
fof(c_0_100, plain, ![X1]:(~v1_xboole_0(X1)=>m1_subset_1(o_1_2_gr_free0(X1),X1)), inference(fof_simplification,[status(thm)],[dt_o_1_2_gr_free0])).
cnf(c_0_101, negated_conjecture, (r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X1,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(esk1_0,esk2_0,X2))))),X3),k1_monoid_0(k1_gr_free0(esk2_0),X1,X3)),k2_gr_free0(esk1_0,esk2_0))|~m2_finseq_1(X3,k1_gr_free0(esk2_0))|~m2_finseq_1(X1,k1_gr_free0(esk2_0))|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_95])).
cnf(c_0_102, plain, (m2_finseq_1(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_103, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|r2_hidden(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
fof(c_0_104, plain, ![X117]:(v1_xboole_0(X117)|m1_subset_1(o_1_2_gr_free0(X117),X117)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])).
fof(c_0_105, plain, ![X127, X128]:((~m2_finseq_1(X128,X127)|m1_finseq_1(X128,X127))&(~m1_finseq_1(X128,X127)|m2_finseq_1(X128,X127))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
fof(c_0_106, plain, ![X85, X86, X87, X89, X90, X91, X92, X94]:(((~r2_hidden(X87,X86)|r2_hidden(k4_tarski(esk4_3(X85,X86,X87),X87),X85)|X86!=k10_xtuple_0(X85))&(~r2_hidden(k4_tarski(X90,X89),X85)|r2_hidden(X89,X86)|X86!=k10_xtuple_0(X85)))&((~r2_hidden(esk5_2(X91,X92),X92)|~r2_hidden(k4_tarski(X94,esk5_2(X91,X92)),X91)|X92=k10_xtuple_0(X91))&(r2_hidden(esk5_2(X91,X92),X92)|r2_hidden(k4_tarski(esk6_2(X91,X92),esk5_2(X91,X92)),X91)|X92=k10_xtuple_0(X91)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_xtuple_0])])])])])])).
cnf(c_0_107, negated_conjecture, (r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X1,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(esk1_0,esk2_0,X2))))),k1_xboole_0),k1_monoid_0(k1_gr_free0(esk2_0),X1,k1_xboole_0)),k2_gr_free0(esk1_0,esk2_0))|~m2_finseq_1(X1,k1_gr_free0(esk2_0))|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_101, c_0_102])).
cnf(c_0_108, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|m2_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_gr_free0(esk2_0))), inference(spm,[status(thm)],[c_0_96, c_0_103])).
cnf(c_0_109, plain, (v1_xboole_0(X1)|m1_subset_1(o_1_2_gr_free0(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_104])).
fof(c_0_110, plain, ![X119, X120, X121]:(~m1_finseq_1(X120,X119)|~m1_finseq_1(X121,X119)|k1_monoid_0(X119,X120,X121)=k7_finseq_1(X120,X121)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_monoid_0])])).
cnf(c_0_111, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_105])).
fof(c_0_112, plain, ![X122, X123]:(~v1_relat_1(X123)|~v4_relat_1(X123,X122)|k1_relset_1(X122,X123)=k9_xtuple_0(X123)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
cnf(c_0_113, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_114, plain, (r2_hidden(X2,X4)|~r2_hidden(k4_tarski(X1,X2),X3)|X4!=k10_xtuple_0(X3)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_115, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k9_finseq_1(k4_tarski(X1,k1_group_1(k1_group_7(esk1_0,esk2_0,X1))))),k1_xboole_0),k1_monoid_0(k1_gr_free0(esk2_0),esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0)),k2_gr_free0(esk1_0,esk2_0))|~m1_subset_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_107, c_0_108])).
cnf(c_0_116, negated_conjecture, (m1_subset_1(o_1_2_gr_free0(esk1_0),esk1_0)), inference(spm,[status(thm)],[c_0_95, c_0_109])).
cnf(c_0_117, plain, (k1_monoid_0(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_110])).
cnf(c_0_118, plain, (m1_finseq_1(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_111, c_0_102])).
fof(c_0_119, plain, ![X113, X114]:(((v1_relat_1(X114)|~m1_finseq_1(X114,X113))&(v1_funct_1(X114)|~m1_finseq_1(X114,X113)))&(v1_finseq_1(X114)|~m1_finseq_1(X114,X113))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
cnf(c_0_120, negated_conjecture, (~r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),k3_finseq_2(k1_gr_free0(esk2_0)))|k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))!=k3_finseq_2(k1_gr_free0(esk2_0))|k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=k3_finseq_2(k1_gr_free0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_121, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_112])).
cnf(c_0_122, negated_conjecture, (v4_relat_1(k2_gr_free0(esk1_0,esk2_0),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_113, c_0_53])).
fof(c_0_123, plain, ![X104, X105]:(~v1_relat_1(X105)|~v4_relat_1(X105,X104)|m1_subset_1(k1_relset_1(X104,X105),k1_zfmisc_1(X104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_relset_1])])).
cnf(c_0_124, plain, (r2_hidden(X1,k10_xtuple_0(X2))|~r2_hidden(k4_tarski(X3,X1),X2)), inference(er,[status(thm)],[c_0_114])).
cnf(c_0_125, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k9_finseq_1(k4_tarski(o_1_2_gr_free0(esk1_0),k1_group_1(k1_group_7(esk1_0,esk2_0,o_1_2_gr_free0(esk1_0)))))),k1_xboole_0),k1_monoid_0(k1_gr_free0(esk2_0),esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0)),k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_126, plain, (k1_monoid_0(X1,X2,k1_xboole_0)=k7_finseq_1(X2,k1_xboole_0)|~m1_finseq_1(X2,X1)), inference(spm,[status(thm)],[c_0_117, c_0_118])).
cnf(c_0_127, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|m1_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_gr_free0(esk2_0))), inference(spm,[status(thm)],[c_0_111, c_0_108])).
fof(c_0_128, plain, ![X140]:((k7_finseq_1(X140,k1_xboole_0)=X140|(~v1_relat_1(X140)|~v1_funct_1(X140)|~v1_finseq_1(X140)))&(k7_finseq_1(k1_xboole_0,X140)=X140|(~v1_relat_1(X140)|~v1_funct_1(X140)|~v1_finseq_1(X140)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_finseq_1])])])).
cnf(c_0_129, plain, (v1_finseq_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_130, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_131, plain, (v1_funct_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_132, negated_conjecture, (k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|~r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0)),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120, c_0_74]), c_0_74]), c_0_74])).
cnf(c_0_133, negated_conjecture, (k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))=k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_66])])).
cnf(c_0_134, plain, (m1_subset_1(k1_relset_1(X2,X1),k1_zfmisc_1(X2))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_135, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|r2_hidden(k1_monoid_0(k1_gr_free0(esk2_0),esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_124, c_0_125])).
cnf(c_0_136, negated_conjecture, (k1_monoid_0(k1_gr_free0(esk2_0),esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0)=k7_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0)|k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(spm,[status(thm)],[c_0_126, c_0_127])).
cnf(c_0_137, plain, (k7_finseq_1(X1,k1_xboole_0)=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_128])).
cnf(c_0_138, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|v1_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))))), inference(spm,[status(thm)],[c_0_129, c_0_127])).
cnf(c_0_139, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|v1_relat_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))))), inference(spm,[status(thm)],[c_0_130, c_0_127])).
cnf(c_0_140, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|v1_funct_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))))), inference(spm,[status(thm)],[c_0_131, c_0_127])).
cnf(c_0_141, negated_conjecture, (k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|~r1_tarski(k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(rw,[status(thm)],[c_0_132, c_0_133])).
cnf(c_0_142, negated_conjecture, (m1_subset_1(k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),k1_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_122]), c_0_66])]), c_0_133])).
cnf(c_0_143, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|r2_hidden(k7_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_135, c_0_136])).
cnf(c_0_144, negated_conjecture, (k7_finseq_1(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k1_xboole_0)=esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)))|k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_138]), c_0_139]), c_0_140])).
fof(c_0_145, plain, ![X102]:(~v1_relat_1(X102)|k1_relat_1(X102)=k2_xboole_0(k9_xtuple_0(X102),k10_xtuple_0(X102))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])])).
fof(c_0_146, plain, ![X131, X132]:(~r1_tarski(X131,X132)|k2_xboole_0(X131,X132)=X132), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])])).
cnf(c_0_147, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|~r1_tarski(k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(rw,[status(thm)],[c_0_141, c_0_77])).
cnf(c_0_148, negated_conjecture, (r1_tarski(k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))), inference(spm,[status(thm)],[c_0_85, c_0_142])).
cnf(c_0_149, plain, (r1_tarski(X1,X2)|~r2_hidden(esk7_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_150, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|r2_hidden(esk7_2(u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_143, c_0_144])).
cnf(c_0_151, plain, (k1_relat_1(X1)=k2_xboole_0(k9_xtuple_0(X1),k10_xtuple_0(X1))|~v1_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_152, plain, (k2_xboole_0(X1,X2)=X2|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_146])).
cnf(c_0_153, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))|k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147, c_0_148])])).
cnf(c_0_154, negated_conjecture, (k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_98])).
cnf(c_0_155, negated_conjecture, (k2_xboole_0(k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),k10_xtuple_0(k2_gr_free0(esk1_0,esk2_0)))=k1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_151, c_0_66])).
cnf(c_0_156, negated_conjecture, (k2_xboole_0(k9_xtuple_0(k2_gr_free0(esk1_0,esk2_0)),u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0))))=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(spm,[status(thm)],[c_0_152, c_0_148])).
cnf(c_0_157, negated_conjecture, (k1_relat_1(k2_gr_free0(esk1_0,esk2_0))!=u1_struct_0(k10_monoid_0(k1_gr_free0(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153, c_0_154])])).
cnf(c_0_158, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155, c_0_154]), c_0_156]), c_0_157]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 159
# Proof object clause steps            : 91
# Proof object formula steps           : 68
# Proof object conjectures             : 47
# Proof object clause conjectures      : 44
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 43
# Proof object initial formulas used   : 31
# Proof object generating inferences   : 38
# Proof object simplifying inferences  : 48
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 31
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 68
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 66
# Processed clauses                    : 14415
# ...of these trivial                  : 17
# ...subsumed                          : 5194
# ...remaining for further processing  : 9203
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 872
# Backward-rewritten                   : 2264
# Generated clauses                    : 241206
# ...of the previous two non-trivial   : 237854
# Contextual simplify-reflections      : 461
# Paramodulations                      : 240850
# Factorizations                       : 350
# NegExts                              : 0
# Equation resolutions                 : 6
# 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  : 5996
#    Positive orientable unit clauses  : 196
#    Positive unorientable unit clauses: 3
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 5792
# Current number of unprocessed clauses: 223114
# ...number of literals in the above   : 1031818
# Current number of archived formulas  : 0
# Current number of archived clauses   : 3203
# Clause-clause subsumption calls (NU) : 12914628
# Rec. Clause-clause subsumption calls : 1359958
# Non-unit clause-clause subsumptions  : 6527
# Unit Clause-clause subsumption calls : 76524
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 129
# BW rewrite match successes           : 20
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 9560293

# -------------------------------------------------
# User time                : 245.297 s
# System time              : 3.032 s
# Total time               : 248.328 s
# Maximum resident set size: 3512 pages
