# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t29_gr_free0, axiom, ![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__t30_gr_free0', t29_gr_free0)).
fof(t30_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))=>![X3, X4]:(r2_hidden(k4_tarski(X3,X4),k2_gr_free0(X1,X2))=>(m2_finseq_1(X3,k1_gr_free0(X2))&m2_finseq_1(X4,k1_gr_free0(X2)))))), file('gr_free0/gr_free0__t30_gr_free0', t30_gr_free0)).
fof(redefinition_k3_finseq_2, axiom, ![X1]:k3_finseq_2(X1)=k13_finseq_1(X1), file('gr_free0/gr_free0__t30_gr_free0', redefinition_k3_finseq_2)).
fof(t15_relat_1, axiom, ![X1, X2, X3]:(v1_relat_1(X3)=>(r2_hidden(k4_tarski(X1,X2),X3)=>(r2_hidden(X1,k1_relat_1(X3))&r2_hidden(X2,k1_relat_1(X3))))), file('gr_free0/gr_free0__t30_gr_free0', t15_relat_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__t30_gr_free0', cc1_relset_1)).
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__t30_gr_free0', dt_k2_gr_free0)).
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__t30_gr_free0', d11_finseq_1)).
fof(c_0_7, plain, ![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)],[t29_gr_free0])).
fof(c_0_8, 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))=>![X3, X4]:(r2_hidden(k4_tarski(X3,X4),k2_gr_free0(X1,X2))=>(m2_finseq_1(X3,k1_gr_free0(X2))&m2_finseq_1(X4,k1_gr_free0(X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t30_gr_free0])])).
fof(c_0_9, plain, ![X43, X44]:(((r1_tarski(k1_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X44))),k2_gr_free0(X43,X44)),k3_finseq_2(k1_gr_free0(X44)))|(~v1_relat_1(X44)|~v4_relat_1(X44,X43)|~v1_funct_1(X44)|~v1_partfun1(X44,X43)|~v1_group_7(X44)|~v2_group_7(X44,X43))|v1_xboole_0(X43))&(k2_relset_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X44))),k2_gr_free0(X43,X44))=k3_finseq_2(k1_gr_free0(X44))|(~v1_relat_1(X44)|~v4_relat_1(X44,X43)|~v1_funct_1(X44)|~v1_partfun1(X44,X43)|~v1_group_7(X44)|~v2_group_7(X44,X43))|v1_xboole_0(X43)))&(k1_relat_1(k2_gr_free0(X43,X44))=k3_finseq_2(k1_gr_free0(X44))|(~v1_relat_1(X44)|~v4_relat_1(X44,X43)|~v1_funct_1(X44)|~v1_partfun1(X44,X43)|~v1_group_7(X44)|~v2_group_7(X44,X43))|v1_xboole_0(X43))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])).
fof(c_0_10, plain, ![X39]:k3_finseq_2(X39)=k13_finseq_1(X39), inference(variable_rename,[status(thm)],[redefinition_k3_finseq_2])).
fof(c_0_11, plain, ![X40, X41, X42]:((r2_hidden(X40,k1_relat_1(X42))|~r2_hidden(k4_tarski(X40,X41),X42)|~v1_relat_1(X42))&(r2_hidden(X41,k1_relat_1(X42))|~r2_hidden(k4_tarski(X40,X41),X42)|~v1_relat_1(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_relat_1])])])).
fof(c_0_12, 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))&(r2_hidden(k4_tarski(esk3_0,esk4_0),k2_gr_free0(esk1_0,esk2_0))&(~m2_finseq_1(esk3_0,k1_gr_free0(esk2_0))|~m2_finseq_1(esk4_0,k1_gr_free0(esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_13, plain, (k1_relat_1(k2_gr_free0(X1,X2))=k3_finseq_2(k1_gr_free0(X2))|v1_xboole_0(X1)|~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)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (k3_finseq_2(X1)=k13_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (r2_hidden(X1,k1_relat_1(X2))|~r2_hidden(k4_tarski(X1,X3),X2)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (r2_hidden(k4_tarski(esk3_0,esk4_0),k2_gr_free0(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (k1_relat_1(k2_gr_free0(X1,X2))=k13_finseq_1(k1_gr_free0(X2))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)|~v4_relat_1(X2,X1)|~v1_partfun1(X2,X1)|~v2_group_7(X2,X1)), inference(rw,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_18, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_19, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_20, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_21, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_22, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_23, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_24, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_25, plain, ![X27, X28, X29]:(~m1_subset_1(X29,k1_zfmisc_1(k2_zfmisc_1(X27,X28)))|v1_relat_1(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_26, plain, ![X37, X38]:(~v1_relat_1(X38)|~v4_relat_1(X38,X37)|~v1_funct_1(X38)|~v1_partfun1(X38,X37)|~v1_group_7(X38)|~v2_group_7(X38,X37)|m1_subset_1(k2_gr_free0(X37,X38),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X38))),u1_struct_0(k10_monoid_0(k1_gr_free0(X38))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
fof(c_0_27, plain, ![X30, X31, X32, X33, X34, X35]:(((~r2_hidden(X32,X31)|m2_finseq_1(X32,X30)|X31!=k13_finseq_1(X30))&(~m2_finseq_1(X33,X30)|r2_hidden(X33,X31)|X31!=k13_finseq_1(X30)))&((~r2_hidden(esk5_2(X34,X35),X35)|~m2_finseq_1(esk5_2(X34,X35),X34)|X35=k13_finseq_1(X34))&(r2_hidden(esk5_2(X34,X35),X35)|m2_finseq_1(esk5_2(X34,X35),X34)|X35=k13_finseq_1(X34)))), 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])])])])])])).
cnf(c_0_28, negated_conjecture, (r2_hidden(esk3_0,k1_relat_1(k2_gr_free0(esk1_0,esk2_0)))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
cnf(c_0_29, negated_conjecture, (k1_relat_1(k2_gr_free0(esk1_0,esk2_0))=k13_finseq_1(k1_gr_free0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
cnf(c_0_30, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_31, 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_26])).
cnf(c_0_32, plain, (r2_hidden(X1,k1_relat_1(X2))|~r2_hidden(k4_tarski(X3,X1),X2)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_33, plain, (m2_finseq_1(X1,X3)|~r2_hidden(X1,X2)|X2!=k13_finseq_1(X3)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_34, negated_conjecture, (r2_hidden(esk3_0,k13_finseq_1(k1_gr_free0(esk2_0)))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(rw,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_35, plain, (v1_relat_1(k2_gr_free0(X1,X2))|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_36, negated_conjecture, (r2_hidden(esk4_0,k1_relat_1(k2_gr_free0(esk1_0,esk2_0)))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_32, c_0_16])).
cnf(c_0_37, plain, (m2_finseq_1(X1,X2)|~r2_hidden(X1,k13_finseq_1(X2))), inference(er,[status(thm)],[c_0_33])).
cnf(c_0_38, negated_conjecture, (r2_hidden(esk3_0,k13_finseq_1(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_39, negated_conjecture, (r2_hidden(esk4_0,k13_finseq_1(k1_gr_free0(esk2_0)))|~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), inference(rw,[status(thm)],[c_0_36, c_0_29])).
cnf(c_0_40, negated_conjecture, (~m2_finseq_1(esk3_0,k1_gr_free0(esk2_0))|~m2_finseq_1(esk4_0,k1_gr_free0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_41, negated_conjecture, (m2_finseq_1(esk3_0,k1_gr_free0(esk2_0))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_42, negated_conjecture, (r2_hidden(esk4_0,k13_finseq_1(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_35]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_43, negated_conjecture, (~m2_finseq_1(esk4_0,k1_gr_free0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
cnf(c_0_44, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_42]), c_0_43]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 45
# Proof object clause steps            : 29
# Proof object formula steps           : 16
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 8
# Proof object simplifying inferences  : 28
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 21
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 20
# Processed clauses                    : 56
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 56
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 5
# Generated clauses                    : 17
# ...of the previous two non-trivial   : 17
# Contextual simplify-reflections      : 0
# Paramodulations                      : 15
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 29
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 3
# Current number of archived formulas  : 0
# Current number of archived clauses   : 26
# Clause-clause subsumption calls (NU) : 208
# Rec. Clause-clause subsumption calls : 56
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2445

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.006 s
# Total time               : 0.026 s
# Maximum resident set size: 3492 pages
