# 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(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__t20_group_24', dt_k3_autgroup)).
fof(t20_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(X1))=>k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k1_group_1(X2)),X4)=X4)))), file('group_24/group_24__t20_group_24', t20_group_24)).
fof(t9_autgroup, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>k6_partfun1(u1_struct_0(X1))=k1_group_1(k3_autgroup(X1))), file('group_24/group_24__t20_group_24', t9_autgroup)).
fof(t31_group_6, 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(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)))))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k1_group_1(X1))=k1_group_1(X2)))), file('group_24/group_24__t20_group_24', t31_group_6)).
fof(redefinition_k6_partfun1, axiom, ![X1]:k6_partfun1(X1)=k4_relat_1(X1), file('group_24/group_24__t20_group_24', redefinition_k6_partfun1)).
fof(rd1_funct_1, axiom, ![X1, X2]:(m1_subset_1(X2,X1)=>k1_funct_1(k4_relat_1(X1),X2)=X2), file('group_24/group_24__t20_group_24', rd1_funct_1)).
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, 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(X1))=>k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,k1_group_1(X2)),X4)=X4))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_group_24])])).
fof(c_0_8, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>k6_partfun1(u1_struct_0(X1))=k1_group_1(k3_autgroup(X1))), inference(fof_simplification,[status(thm)],[t9_autgroup])).
fof(c_0_9, 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(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)))))=>k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k1_group_1(X1))=k1_group_1(X2)))), inference(fof_simplification,[status(thm)],[t31_group_6])).
fof(c_0_10, plain, ![X21]:(((((~v2_struct_0(k3_autgroup(X21))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21)))&(v15_algstr_0(k3_autgroup(X21))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21))))&(v2_group_1(k3_autgroup(X21))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21))))&(v3_group_1(k3_autgroup(X21))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21))))&(l3_algstr_0(k3_autgroup(X21))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_11, 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(esk1_0))&k1_funct_1(k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k1_group_1(esk2_0)),esk4_0)!=esk4_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_12, plain, ![X28]:(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~l3_algstr_0(X28)|k6_partfun1(u1_struct_0(X28))=k1_group_1(k3_autgroup(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])).
fof(c_0_13, plain, ![X24]:k6_partfun1(X24)=k4_relat_1(X24), inference(variable_rename,[status(thm)],[redefinition_k6_partfun1])).
fof(c_0_14, plain, ![X25, X26, X27]:(v2_struct_0(X25)|~v2_group_1(X25)|~v3_group_1(X25)|~l3_algstr_0(X25)|(v2_struct_0(X26)|~v2_group_1(X26)|~v3_group_1(X26)|~l3_algstr_0(X26)|(~v1_funct_1(X27)|~v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))|~v1_group_6(X27,X25,X26)|~m1_subset_1(X27,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X25),u1_struct_0(X26))))|k3_funct_2(u1_struct_0(X25),u1_struct_0(X26),X27,k1_group_1(X25))=k1_group_1(X26)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_15, 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_16, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
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)|k6_partfun1(u1_struct_0(X1))=k1_group_1(k3_autgroup(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_23, plain, (k6_partfun1(X1)=k4_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_24, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k1_group_1(X1))=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(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_14])).
cnf(c_0_25, 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_11])).
cnf(c_0_26, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_27, 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_11])).
cnf(c_0_28, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_29, 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_15, c_0_16]), c_0_17]), c_0_18])]), c_0_19])).
cnf(c_0_30, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_31, 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_16]), c_0_17]), c_0_18])]), c_0_19])).
cnf(c_0_32, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_33, 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_16]), c_0_17]), c_0_18])]), c_0_19])).
cnf(c_0_34, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_35, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_36, plain, ![X22, X23]:(~m1_subset_1(X23,X22)|k1_funct_1(k4_relat_1(X22),X23)=X23), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_funct_1])])).
cnf(c_0_37, plain, (k4_relat_1(u1_struct_0(X1))=k1_group_1(k3_autgroup(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(rw,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_38, negated_conjecture, (k1_funct_1(k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k1_group_1(esk2_0)),esk4_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_39, negated_conjecture, (k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)),esk3_0,k1_group_1(esk2_0))=k1_group_1(k3_autgroup(esk1_0))|v2_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(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_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_40, plain, (k1_funct_1(k4_relat_1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_41, negated_conjecture, (k4_relat_1(u1_struct_0(esk1_0))=k1_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_37, c_0_16]), c_0_17]), c_0_18])]), c_0_19])).
cnf(c_0_42, negated_conjecture, (v2_struct_0(k3_autgroup(esk1_0))|k1_funct_1(k1_group_1(k3_autgroup(esk1_0)),esk4_0)!=esk4_0), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_43, negated_conjecture, (k1_funct_1(k1_group_1(k3_autgroup(esk1_0)),X1)=X1|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_44, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_45, 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_46, negated_conjecture, (v2_struct_0(k3_autgroup(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])])).
cnf(c_0_47, 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_45, c_0_46]), c_0_16]), c_0_17]), c_0_18])]), c_0_19]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 48
# Proof object clause steps            : 32
# Proof object formula steps           : 16
# Proof object conjectures             : 26
# Proof object clause conjectures      : 23
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 35
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 23
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 22
# Processed clauses                    : 80
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 80
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 12
# Generated clauses                    : 48
# ...of the previous two non-trivial   : 47
# Contextual simplify-reflections      : 18
# Paramodulations                      : 48
# 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  : 46
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 21
# Current number of unprocessed clauses: 11
# ...number of literals in the above   : 64
# Current number of archived formulas  : 0
# Current number of archived clauses   : 35
# Clause-clause subsumption calls (NU) : 288
# Rec. Clause-clause subsumption calls : 111
# Non-unit clause-clause subsumptions  : 18
# Unit Clause-clause subsumption calls : 9
# 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          : 3205

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.002 s
# Total time               : 0.026 s
# Maximum resident set size: 3552 pages
