# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.017 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t23_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))))), file('group_24/group_24__t25_group_24', t23_group_24)).
fof(t25_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>((r1_struct_0(X1,k1_funct_1(X4,np__1))&r1_struct_0(X2,k1_funct_1(X4,np__2)))&k1_relset_1(k4_ordinal1,X4)=k2_tarski(np__1,np__2)))))), file('group_24/group_24__t25_group_24', t25_group_24)).
fof(t18_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>((r1_struct_0(X1,k1_funct_1(X3,np__1))&r1_struct_0(X2,k1_funct_1(X3,np__2)))&k1_relset_1(k4_ordinal1,X3)=k2_tarski(np__1,np__2))))), file('group_24/group_24__t25_group_24', t18_group_24)).
fof(c_0_3, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))))), inference(fof_simplification,[status(thm)],[t23_group_24])).
fof(c_0_4, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>((r1_struct_0(X1,k1_funct_1(X4,np__1))&r1_struct_0(X2,k1_funct_1(X4,np__2)))&k1_relset_1(k4_ordinal1,X4)=k2_tarski(np__1,np__2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t25_group_24])])).
fof(c_0_5, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>((r1_struct_0(X1,k1_funct_1(X3,np__1))&r1_struct_0(X2,k1_funct_1(X3,np__2)))&k1_relset_1(k4_ordinal1,X3)=k2_tarski(np__1,np__2))))), inference(fof_simplification,[status(thm)],[t18_group_24])).
fof(c_0_6, plain, ![X22, X23, X24]:(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~l3_algstr_0(X22)|(v2_struct_0(X23)|~v2_group_1(X23)|~v3_group_1(X23)|~l3_algstr_0(X23)|(~v1_funct_1(X24)|~v1_funct_2(X24,u1_struct_0(X23),u1_struct_0(k3_autgroup(X22)))|~v1_group_6(X24,X23,k3_autgroup(X22))|~m1_subset_1(X24,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X23),u1_struct_0(k3_autgroup(X22)))))|u1_struct_0(k1_group_24(X22,X23,X24))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X22,X23)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])).
fof(c_0_7, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&((((~v2_struct_0(esk2_0)&v2_group_1(esk2_0))&v3_group_1(esk2_0))&l3_algstr_0(esk2_0))&((((v1_funct_1(esk3_0)&v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))&v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0)))&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))))&(m1_subset_1(esk4_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))&(~r1_struct_0(esk1_0,k1_funct_1(esk4_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk4_0,np__2))|k1_relset_1(k4_ordinal1,esk4_0)!=k2_tarski(np__1,np__2)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_8, plain, ![X19, X20, X21]:(((r1_struct_0(X19,k1_funct_1(X21,np__1))|~m1_subset_1(X21,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X19,X20))))|(v2_struct_0(X20)|~v2_group_1(X20)|~v3_group_1(X20)|~l3_algstr_0(X20))|(v2_struct_0(X19)|~v2_group_1(X19)|~v3_group_1(X19)|~l3_algstr_0(X19)))&(r1_struct_0(X20,k1_funct_1(X21,np__2))|~m1_subset_1(X21,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X19,X20))))|(v2_struct_0(X20)|~v2_group_1(X20)|~v3_group_1(X20)|~l3_algstr_0(X20))|(v2_struct_0(X19)|~v2_group_1(X19)|~v3_group_1(X19)|~l3_algstr_0(X19))))&(k1_relset_1(k4_ordinal1,X21)=k2_tarski(np__1,np__2)|~m1_subset_1(X21,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X19,X20))))|(v2_struct_0(X20)|~v2_group_1(X20)|~v3_group_1(X20)|~l3_algstr_0(X20))|(v2_struct_0(X19)|~v2_group_1(X19)|~v3_group_1(X19)|~l3_algstr_0(X19)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])).
cnf(c_0_9, plain, (v2_struct_0(X1)|v2_struct_0(X2)|u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_10, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, negated_conjecture, (v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_13, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_14, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_15, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_16, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_17, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_18, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_19, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_20, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_21, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_22, plain, (r1_struct_0(X1,k1_funct_1(X2,np__2))|v2_struct_0(X1)|v2_struct_0(X3)|~m1_subset_1(X2,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X3,X1))))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_23, negated_conjecture, (u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))=u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19])]), c_0_20]), c_0_21])).
cnf(c_0_24, negated_conjecture, (r1_struct_0(esk2_0,k1_funct_1(X1,np__2))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_15]), c_0_14]), c_0_17]), c_0_16]), c_0_19]), c_0_18])]), c_0_21]), c_0_20])).
cnf(c_0_25, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_26, plain, (r1_struct_0(X1,k1_funct_1(X2,np__1))|v2_struct_0(X3)|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X3))))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_27, negated_conjecture, (~r1_struct_0(esk1_0,k1_funct_1(esk4_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk4_0,np__2))|k1_relset_1(k4_ordinal1,esk4_0)!=k2_tarski(np__1,np__2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_28, negated_conjecture, (r1_struct_0(esk2_0,k1_funct_1(esk4_0,np__2))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_29, negated_conjecture, (r1_struct_0(esk1_0,k1_funct_1(X1,np__1))|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_23]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19])]), c_0_20]), c_0_21])).
cnf(c_0_30, plain, (k1_relset_1(k4_ordinal1,X1)=k2_tarski(np__1,np__2)|v2_struct_0(X3)|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X2,X3))))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_31, negated_conjecture, (k1_relset_1(k4_ordinal1,esk4_0)!=k2_tarski(np__1,np__2)|~r1_struct_0(esk1_0,k1_funct_1(esk4_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
cnf(c_0_32, negated_conjecture, (r1_struct_0(esk1_0,k1_funct_1(esk4_0,np__1))), inference(spm,[status(thm)],[c_0_29, c_0_25])).
cnf(c_0_33, negated_conjecture, (k1_relset_1(k4_ordinal1,X1)=k2_tarski(np__1,np__2)|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_23]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19])]), c_0_20]), c_0_21])).
cnf(c_0_34, negated_conjecture, (k1_relset_1(k4_ordinal1,esk4_0)!=k2_tarski(np__1,np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
cnf(c_0_35, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_25]), c_0_34]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 36
# Proof object clause steps            : 27
# Proof object formula steps           : 9
# Proof object conjectures             : 26
# Proof object clause conjectures      : 23
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 3
# Proof object generating inferences   : 7
# Proof object simplifying inferences  : 44
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 3
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 28
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 27
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 11
# ...of the previous two non-trivial   : 12
# Contextual simplify-reflections      : 0
# Paramodulations                      : 9
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 25
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 8
# Current number of unprocessed clauses: 2
# ...number of literals in the above   : 18
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2
# Clause-clause subsumption calls (NU) : 8
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2502

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.002 s
# Total time               : 0.021 s
# Maximum resident set size: 3544 pages
