# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t44_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))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k2_group_3(k1_group_24(X1,X2,X3),k3_funct_2(u1_struct_0(X1),u1_struct_0(k1_group_24(X1,X2,X3)),k2_group_24(X1,X2,X3),X5),k3_funct_2(u1_struct_0(X2),u1_struct_0(k1_group_24(X1,X2,X3)),k3_group_24(X1,X2,X3),X4))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k2_group_1(X2,X4)),X5),k1_group_1(X2))))))), file('group_24/group_24__t45_group_24', t44_group_24)).
fof(t45_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(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k2_group_3(k1_group_24(X1,X2,X3),k3_funct_2(u1_struct_0(X1),u1_struct_0(k1_group_24(X1,X2,X3)),k2_group_24(X1,X2,X3),X5),k3_funct_2(u1_struct_0(X2),u1_struct_0(k1_group_24(X1,X2,X3)),k3_group_24(X1,X2,X3),k2_group_1(X2,X4)))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X4),X5),k1_group_1(X2))))))), file('group_24/group_24__t45_group_24', t45_group_24)).
fof(involutiveness_k2_group_1, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k2_group_1(X1,k2_group_1(X1,X2))=X2), file('group_24/group_24__t45_group_24', involutiveness_k2_group_1)).
fof(dt_k2_group_1, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>m1_subset_1(k2_group_1(X1,X2),u1_struct_0(X1))), file('group_24/group_24__t45_group_24', dt_k2_group_1)).
fof(c_0_4, 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))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k2_group_3(k1_group_24(X1,X2,X3),k3_funct_2(u1_struct_0(X1),u1_struct_0(k1_group_24(X1,X2,X3)),k2_group_24(X1,X2,X3),X5),k3_funct_2(u1_struct_0(X2),u1_struct_0(k1_group_24(X1,X2,X3)),k3_group_24(X1,X2,X3),X4))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k2_group_1(X2,X4)),X5),k1_group_1(X2))))))), inference(fof_simplification,[status(thm)],[t44_group_24])).
fof(c_0_5, 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(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k2_group_3(k1_group_24(X1,X2,X3),k3_funct_2(u1_struct_0(X1),u1_struct_0(k1_group_24(X1,X2,X3)),k2_group_24(X1,X2,X3),X5),k3_funct_2(u1_struct_0(X2),u1_struct_0(k1_group_24(X1,X2,X3)),k3_group_24(X1,X2,X3),k2_group_1(X2,X4)))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X4),X5),k1_group_1(X2)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t45_group_24])])).
fof(c_0_6, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k2_group_1(X1,k2_group_1(X1,X2))=X2), inference(fof_simplification,[status(thm)],[involutiveness_k2_group_1])).
fof(c_0_7, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>m1_subset_1(k2_group_1(X1,X2),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k2_group_1])).
fof(c_0_8, plain, ![X29, X30, X31, X32, X33]:(v2_struct_0(X29)|~v2_group_1(X29)|~v3_group_1(X29)|~l3_algstr_0(X29)|(v2_struct_0(X30)|~v2_group_1(X30)|~v3_group_1(X30)|~l3_algstr_0(X30)|(~v1_funct_1(X31)|~v1_funct_2(X31,u1_struct_0(X30),u1_struct_0(k3_autgroup(X29)))|~v1_group_6(X31,X30,k3_autgroup(X29))|~m1_subset_1(X31,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X30),u1_struct_0(k3_autgroup(X29)))))|(~m1_subset_1(X32,u1_struct_0(X30))|(~m1_subset_1(X33,u1_struct_0(X29))|k2_group_3(k1_group_24(X29,X30,X31),k3_funct_2(u1_struct_0(X29),u1_struct_0(k1_group_24(X29,X30,X31)),k2_group_24(X29,X30,X31),X33),k3_funct_2(u1_struct_0(X30),u1_struct_0(k1_group_24(X29,X30,X31)),k3_group_24(X29,X30,X31),X32))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(X30),u1_struct_0(k3_autgroup(X29)),X31,k2_group_1(X30,X32)),X33),k1_group_1(X30))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_9, 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(esk2_0))&(m1_subset_1(esk5_0,u1_struct_0(esk1_0))&k2_group_3(k1_group_24(esk1_0,esk2_0,esk3_0),k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)),k2_group_24(esk1_0,esk2_0,esk3_0),esk5_0),k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)),k3_group_24(esk1_0,esk2_0,esk3_0),k2_group_1(esk2_0,esk4_0)))!=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,esk4_0),esk5_0),k1_group_1(esk2_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_10, plain, ![X27, X28]:(v2_struct_0(X27)|~v2_group_1(X27)|~v3_group_1(X27)|~l3_algstr_0(X27)|~m1_subset_1(X28,u1_struct_0(X27))|k2_group_1(X27,k2_group_1(X27,X28))=X28), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
fof(c_0_11, plain, ![X25, X26]:(v2_struct_0(X25)|~v2_group_1(X25)|~v3_group_1(X25)|~l3_algstr_0(X25)|~m1_subset_1(X26,u1_struct_0(X25))|m1_subset_1(k2_group_1(X25,X26),u1_struct_0(X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])).
cnf(c_0_12, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k2_group_3(k1_group_24(X1,X2,X3),k3_funct_2(u1_struct_0(X1),u1_struct_0(k1_group_24(X1,X2,X3)),k2_group_24(X1,X2,X3),X5),k3_funct_2(u1_struct_0(X2),u1_struct_0(k1_group_24(X1,X2,X3)),k3_group_24(X1,X2,X3),X4))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k2_group_1(X2,X4)),X5),k1_group_1(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)))))|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X5,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, 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_9])).
cnf(c_0_14, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_15, 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_9])).
cnf(c_0_16, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_17, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_19, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_20, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_21, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_22, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_23, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_24, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_25, plain, (v2_struct_0(X1)|k2_group_1(X1,k2_group_1(X1,X2))=X2|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_26, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_27, plain, (v2_struct_0(X1)|m1_subset_1(k2_group_1(X1,X2),u1_struct_0(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_28, negated_conjecture, (k2_group_3(k1_group_24(esk1_0,esk2_0,esk3_0),k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)),k2_group_24(esk1_0,esk2_0,esk3_0),esk5_0),k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)),k3_group_24(esk1_0,esk2_0,esk3_0),k2_group_1(esk2_0,esk4_0)))!=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,esk4_0),esk5_0),k1_group_1(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_29, negated_conjecture, (k2_group_3(k1_group_24(esk1_0,esk2_0,esk3_0),k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)),k2_group_24(esk1_0,esk2_0,esk3_0),X1),k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)),k3_group_24(esk1_0,esk2_0,esk3_0),X2))=k10_finseq_1(k1_funct_1(k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k2_group_1(esk2_0,X2)),X1),k1_group_1(esk2_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))|~m1_subset_1(X2,u1_struct_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(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_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]), c_0_22])]), c_0_23]), c_0_24])).
cnf(c_0_30, negated_conjecture, (k2_group_1(esk2_0,k2_group_1(esk2_0,esk4_0))=esk4_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_17]), c_0_19]), c_0_21])]), c_0_23])).
cnf(c_0_31, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_32, negated_conjecture, (m1_subset_1(k2_group_1(esk2_0,esk4_0),u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_26]), c_0_17]), c_0_19]), c_0_21])]), c_0_23])).
cnf(c_0_33, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31]), c_0_32])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 34
# Proof object clause steps            : 22
# Proof object formula steps           : 12
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 4
# Proof object simplifying inferences  : 26
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 41
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 41
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 12
# ...of the previous two non-trivial   : 5
# Contextual simplify-reflections      : 0
# Paramodulations                      : 12
# Factorizations                       : 0
# 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  : 23
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 4
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 18
# Clause-clause subsumption calls (NU) : 64
# Rec. Clause-clause subsumption calls : 0
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2905

# -------------------------------------------------
# User time                : 0.018 s
# System time              : 0.006 s
# Total time               : 0.024 s
# Maximum resident set size: 3528 pages
