# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t66_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>((v15_algstr_0(X1)&v7_struct_0(X1))=>v7_struct_0(k3_autgroup(X1)))), file('group_24/group_24__t67_group_24', t66_group_24)).
fof(t67_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))))))=>((v15_algstr_0(X1)&v7_struct_0(X1))=>r2_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k7_group_6(X2,k3_autgroup(X1))))))), file('group_24/group_24__t67_group_24', t67_group_24)).
fof(dt_k3_autgroup, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>((((~(v2_struct_0(k3_autgroup(X1)))&v15_algstr_0(k3_autgroup(X1)))&v2_group_1(k3_autgroup(X1)))&v3_group_1(k3_autgroup(X1)))&l3_algstr_0(k3_autgroup(X1)))), file('group_24/group_24__t67_group_24', dt_k3_autgroup)).
fof(t64_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))=>(v7_struct_0(X2)=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k7_group_6(X1,X2)))))), file('group_24/group_24__t67_group_24', t64_group_24)).
fof(c_0_4, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>((v15_algstr_0(X1)&v7_struct_0(X1))=>v7_struct_0(k3_autgroup(X1)))), inference(fof_simplification,[status(thm)],[t66_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))))))=>((v15_algstr_0(X1)&v7_struct_0(X1))=>r2_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k7_group_6(X2,k3_autgroup(X1)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t67_group_24])])).
fof(c_0_6, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>((((~v2_struct_0(k3_autgroup(X1))&v15_algstr_0(k3_autgroup(X1)))&v2_group_1(k3_autgroup(X1)))&v3_group_1(k3_autgroup(X1)))&l3_algstr_0(k3_autgroup(X1)))), inference(fof_simplification,[status(thm)],[dt_k3_autgroup])).
fof(c_0_7, 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))=>(v7_struct_0(X2)=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))=>r2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k7_group_6(X1,X2)))))), inference(fof_simplification,[status(thm)],[t64_group_24])).
fof(c_0_8, plain, ![X19]:(v2_struct_0(X19)|~v2_group_1(X19)|~v3_group_1(X19)|~l3_algstr_0(X19)|(~v15_algstr_0(X19)|~v7_struct_0(X19)|v7_struct_0(k3_autgroup(X19)))), 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))))))&((v15_algstr_0(esk1_0)&v7_struct_0(esk1_0))&~r2_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k7_group_6(esk2_0,k3_autgroup(esk1_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_10, plain, ![X15]:(((((~v2_struct_0(k3_autgroup(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15)))&(v15_algstr_0(k3_autgroup(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(v2_group_1(k3_autgroup(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(v3_group_1(k3_autgroup(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(l3_algstr_0(k3_autgroup(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_11, plain, ![X16, X17, X18]:(v2_struct_0(X16)|~v2_group_1(X16)|~v3_group_1(X16)|~l3_algstr_0(X16)|(v2_struct_0(X17)|~v2_group_1(X17)|~v3_group_1(X17)|~l3_algstr_0(X17)|(~v7_struct_0(X17)|(~v1_funct_1(X18)|~v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))|~v1_group_6(X18,X16,X17)|~m1_subset_1(X18,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X16),u1_struct_0(X17))))|r2_funct_2(u1_struct_0(X16),u1_struct_0(X17),X18,k7_group_6(X16,X17)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
cnf(c_0_12, plain, (v2_struct_0(X1)|v7_struct_0(k3_autgroup(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v15_algstr_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, negated_conjecture, (v7_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (v15_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_15, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_16, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_17, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_19, plain, (l3_algstr_0(k3_autgroup(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, plain, (v3_group_1(k3_autgroup(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_21, plain, (v2_group_1(k3_autgroup(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_22, plain, (v2_struct_0(X1)|v2_struct_0(X2)|r2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k7_group_6(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)|~v7_struct_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))|~v1_group_6(X3,X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_23, 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_24, negated_conjecture, (v7_struct_0(k3_autgroup(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(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_25, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_26, 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_27, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_28, negated_conjecture, (l3_algstr_0(k3_autgroup(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_29, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_30, negated_conjecture, (v3_group_1(k3_autgroup(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_31, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_32, negated_conjecture, (v2_group_1(k3_autgroup(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_33, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_34, negated_conjecture, (~r2_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k7_group_6(esk2_0,k3_autgroup(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_35, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_36, plain, (v2_struct_0(X1)|~v2_struct_0(k3_autgroup(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_37, negated_conjecture, (v2_struct_0(k3_autgroup(esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33])]), c_0_34]), c_0_35])).
cnf(c_0_38, negated_conjecture, ($false), 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_36, c_0_37]), c_0_15]), c_0_16]), c_0_17])]), c_0_18]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 39
# Proof object clause steps            : 27
# Proof object formula steps           : 12
# Proof object conjectures             : 24
# Proof object clause conjectures      : 21
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 6
# Proof object simplifying inferences  : 36
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 73
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 73
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 10
# Generated clauses                    : 38
# ...of the previous two non-trivial   : 37
# Contextual simplify-reflections      : 22
# Paramodulations                      : 38
# 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  : 41
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 16
# Current number of unprocessed clauses: 8
# ...number of literals in the above   : 50
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 264
# Rec. Clause-clause subsumption calls : 100
# Non-unit clause-clause subsumptions  : 22
# Unit Clause-clause subsumption calls : 15
# 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          : 2979

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.003 s
# Total time               : 0.025 s
# Maximum resident set size: 3532 pages
