# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S072N
# and selection function SelectCQArEqFirst.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d5_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k4_gr_cy_1(X1)=g3_algstr_0(k5_card_1(X1),k3_gr_cy_1(X1))), file('group_24/group_24__t72_group_24', d5_gr_cy_1)).
fof(t72_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>u1_struct_0(k4_gr_cy_1(X1))=k5_card_1(X1)), file('group_24/group_24__t72_group_24', t72_group_24)).
fof(dt_k4_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), file('group_24/group_24__t72_group_24', dt_k4_gr_cy_1)).
fof(free_g3_algstr_0, axiom, ![X1, X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X3, X4]:(g3_algstr_0(X1,X2)=g3_algstr_0(X3,X4)=>(X1=X3&X2=X4))), file('group_24/group_24__t72_group_24', free_g3_algstr_0)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('group_24/group_24__t72_group_24', abstractness_v15_algstr_0)).
fof(dt_u2_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>((v1_funct_1(u2_algstr_0(X1))&v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))))), file('group_24/group_24__t72_group_24', dt_u2_algstr_0)).
fof(c_0_6, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k4_gr_cy_1(X1)=g3_algstr_0(k5_card_1(X1),k3_gr_cy_1(X1))), inference(fof_simplification,[status(thm)],[d5_gr_cy_1])).
fof(c_0_7, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>u1_struct_0(k4_gr_cy_1(X1))=k5_card_1(X1))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t72_group_24])])).
fof(c_0_8, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_cy_1])).
fof(c_0_9, plain, ![X16]:(~v7_ordinal1(X16)|v8_ordinal1(X16)|k4_gr_cy_1(X16)=g3_algstr_0(k5_card_1(X16),k3_gr_cy_1(X16))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
fof(c_0_10, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&u1_struct_0(k4_gr_cy_1(esk1_0))!=k5_card_1(esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_11, plain, ![X17]:(((~v2_struct_0(k4_gr_cy_1(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17)))&(v15_algstr_0(k4_gr_cy_1(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17))))&(l3_algstr_0(k4_gr_cy_1(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_12, plain, ![X19, X20, X21, X22]:((X19=X21|g3_algstr_0(X19,X20)!=g3_algstr_0(X21,X22)|(~v1_funct_1(X20)|~v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)|~m1_subset_1(X20,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X19,X19),X19)))))&(X20=X22|g3_algstr_0(X19,X20)!=g3_algstr_0(X21,X22)|(~v1_funct_1(X20)|~v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)|~m1_subset_1(X20,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X19,X19),X19)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_algstr_0])])])])).
cnf(c_0_13, plain, (v8_ordinal1(X1)|k4_gr_cy_1(X1)=g3_algstr_0(k5_card_1(X1),k3_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_16, plain, ![X15]:(~l3_algstr_0(X15)|(~v15_algstr_0(X15)|X15=g3_algstr_0(u1_struct_0(X15),u2_algstr_0(X15)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_17, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, plain, (v15_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_19, plain, ![X18]:(((v1_funct_1(u2_algstr_0(X18))|~l3_algstr_0(X18))&(v1_funct_2(u2_algstr_0(X18),k2_zfmisc_1(u1_struct_0(X18),u1_struct_0(X18)),u1_struct_0(X18))|~l3_algstr_0(X18)))&(m1_subset_1(u2_algstr_0(X18),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X18),u1_struct_0(X18)),u1_struct_0(X18))))|~l3_algstr_0(X18))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_algstr_0])])])).
cnf(c_0_20, plain, (X1=X2|g3_algstr_0(X1,X3)!=g3_algstr_0(X2,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_21, negated_conjecture, (g3_algstr_0(k5_card_1(esk1_0),k3_gr_cy_1(esk1_0))=k4_gr_cy_1(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])).
cnf(c_0_22, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, negated_conjecture, (l3_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_14]), c_0_15])).
cnf(c_0_24, negated_conjecture, (v15_algstr_0(k4_gr_cy_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_14]), c_0_15])).
cnf(c_0_25, plain, (v1_funct_2(u2_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (v1_funct_1(u2_algstr_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, negated_conjecture, (X1=k5_card_1(esk1_0)|g3_algstr_0(X1,X2)!=k4_gr_cy_1(esk1_0)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~v1_funct_1(X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_28, negated_conjecture, (g3_algstr_0(u1_struct_0(k4_gr_cy_1(esk1_0)),u2_algstr_0(k4_gr_cy_1(esk1_0)))=k4_gr_cy_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
cnf(c_0_29, negated_conjecture, (v1_funct_2(u2_algstr_0(k4_gr_cy_1(esk1_0)),k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(esk1_0)),u1_struct_0(k4_gr_cy_1(esk1_0))),u1_struct_0(k4_gr_cy_1(esk1_0)))), inference(spm,[status(thm)],[c_0_25, c_0_23])).
cnf(c_0_30, negated_conjecture, (v1_funct_1(u2_algstr_0(k4_gr_cy_1(esk1_0)))), inference(spm,[status(thm)],[c_0_26, c_0_23])).
cnf(c_0_31, negated_conjecture, (u1_struct_0(k4_gr_cy_1(esk1_0))!=k5_card_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_32, plain, (m1_subset_1(u2_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_33, negated_conjecture, (~m1_subset_1(u2_algstr_0(k4_gr_cy_1(esk1_0)),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_gr_cy_1(esk1_0)),u1_struct_0(k4_gr_cy_1(esk1_0))),u1_struct_0(k4_gr_cy_1(esk1_0)))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_34, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_23]), c_0_33]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 35
# Proof object clause steps            : 20
# Proof object formula steps           : 15
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 11
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 10
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 13
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 13
# Processed clauses                    : 39
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 36
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 20
# ...of the previous two non-trivial   : 17
# Contextual simplify-reflections      : 0
# Paramodulations                      : 18
# 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  : 23
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 13
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 18
# Current number of archived formulas  : 0
# Current number of archived clauses   : 13
# Clause-clause subsumption calls (NU) : 22
# Rec. Clause-clause subsumption calls : 19
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 4
# 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          : 1865

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.000 s
# Total time               : 0.024 s
# Maximum resident set size: 3556 pages
