# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S084A
# and selection function SelectCQIArNT.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('relset_3/relset_3__t37_relset_3', cc2_membered)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('relset_3/relset_3__t37_relset_3', cc1_membered)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('relset_3/relset_3__t37_relset_3', cc3_membered)).
fof(t37_relset_3, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>![X4]:(v6_membered(X4)=>(r2_hidden(k4_tarski(X2,X3),k2_relset_3(X4,X1))<=>((r2_tarski(X2,X4)&r2_tarski(X3,X4))&X3=k2_xcmplx_0(X1,X2))))))), file('relset_3/relset_3__t37_relset_3', t37_relset_3)).
fof(cc5_membered, axiom, ![X1]:(v3_membered(X1)=>v1_membered(X1)), file('relset_3/relset_3__t37_relset_3', cc5_membered)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('relset_3/relset_3__t37_relset_3', redefinition_r2_tarski)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('relset_3/relset_3__t37_relset_3', cc1_xcmplx_0)).
fof(t11_relset_3, axiom, ![X1]:(v1_xcmplx_0(X1)=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(v1_xcmplx_0(X3)=>![X4]:(v1_membered(X4)=>(r2_hidden(k4_tarski(X2,X3),k2_relset_3(X4,X1))<=>((r2_hidden(X2,X4)&r2_hidden(X3,X4))&X3=k2_xcmplx_0(X1,X2))))))), file('relset_3/relset_3__t37_relset_3', t11_relset_3)).
fof(c_0_8, plain, ![X26]:(~v5_membered(X26)|v4_membered(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_9, plain, ![X29]:(~v6_membered(X29)|v5_membered(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
fof(c_0_10, plain, ![X25]:(~v4_membered(X25)|v3_membered(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
cnf(c_0_11, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_13, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>![X4]:(v6_membered(X4)=>(r2_hidden(k4_tarski(X2,X3),k2_relset_3(X4,X1))<=>((r2_tarski(X2,X4)&r2_tarski(X3,X4))&X3=k2_xcmplx_0(X1,X2)))))))), inference(assume_negation,[status(cth)],[t37_relset_3])).
fof(c_0_14, plain, ![X24]:(~v3_membered(X24)|v1_membered(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_membered])])).
cnf(c_0_15, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, plain, (v4_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
fof(c_0_17, plain, ![X27, X28]:((~r2_tarski(X27,X28)|r2_hidden(X27,X28))&(~r2_hidden(X27,X28)|r2_tarski(X27,X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_18, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&(v7_ordinal1(esk3_0)&(v6_membered(esk4_0)&((~r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|(~r2_tarski(esk2_0,esk4_0)|~r2_tarski(esk3_0,esk4_0)|esk3_0!=k2_xcmplx_0(esk1_0,esk2_0)))&(((r2_tarski(esk2_0,esk4_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0)))&(r2_tarski(esk3_0,esk4_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))))&(esk3_0=k2_xcmplx_0(esk1_0,esk2_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])).
fof(c_0_19, plain, ![X30]:(~v7_ordinal1(X30)|v1_xcmplx_0(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_20, plain, (v1_membered(X1)|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (v3_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
fof(c_0_22, plain, ![X31, X32, X33, X34]:((((r2_hidden(X32,X34)|~r2_hidden(k4_tarski(X32,X33),k2_relset_3(X34,X31))|~v1_membered(X34)|~v1_xcmplx_0(X33)|~v1_xcmplx_0(X32)|~v1_xcmplx_0(X31))&(r2_hidden(X33,X34)|~r2_hidden(k4_tarski(X32,X33),k2_relset_3(X34,X31))|~v1_membered(X34)|~v1_xcmplx_0(X33)|~v1_xcmplx_0(X32)|~v1_xcmplx_0(X31)))&(X33=k2_xcmplx_0(X31,X32)|~r2_hidden(k4_tarski(X32,X33),k2_relset_3(X34,X31))|~v1_membered(X34)|~v1_xcmplx_0(X33)|~v1_xcmplx_0(X32)|~v1_xcmplx_0(X31)))&(~r2_hidden(X32,X34)|~r2_hidden(X33,X34)|X33!=k2_xcmplx_0(X31,X32)|r2_hidden(k4_tarski(X32,X33),k2_relset_3(X34,X31))|~v1_membered(X34)|~v1_xcmplx_0(X33)|~v1_xcmplx_0(X32)|~v1_xcmplx_0(X31))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_relset_3])])])])).
cnf(c_0_23, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, negated_conjecture, (r2_tarski(esk2_0,esk4_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_29, plain, (v1_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_30, negated_conjecture, (v6_membered(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_31, plain, (r2_hidden(X1,X2)|~r2_hidden(k4_tarski(X1,X3),k2_relset_3(X2,X4))|~v1_membered(X2)|~v1_xcmplx_0(X3)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|r2_hidden(esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_33, negated_conjecture, (v1_xcmplx_0(esk1_0)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_34, negated_conjecture, (v1_xcmplx_0(esk2_0)), inference(spm,[status(thm)],[c_0_25, c_0_27])).
cnf(c_0_35, negated_conjecture, (v1_xcmplx_0(esk3_0)), inference(spm,[status(thm)],[c_0_25, c_0_28])).
cnf(c_0_36, negated_conjecture, (v1_membered(esk4_0)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_37, negated_conjecture, (r2_tarski(esk3_0,esk4_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_38, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_39, negated_conjecture, (r2_hidden(esk2_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34])]), c_0_35]), c_0_36])])).
cnf(c_0_40, plain, (r2_hidden(X1,X2)|~r2_hidden(k4_tarski(X3,X1),k2_relset_3(X2,X4))|~v1_membered(X2)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X3)|~v1_xcmplx_0(X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_41, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|r2_hidden(esk3_0,esk4_0)), inference(spm,[status(thm)],[c_0_23, c_0_37])).
cnf(c_0_42, plain, (r2_hidden(k4_tarski(X1,X3),k2_relset_3(X2,X4))|~r2_hidden(X1,X2)|~r2_hidden(X3,X2)|X3!=k2_xcmplx_0(X4,X1)|~v1_membered(X2)|~v1_xcmplx_0(X3)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X4)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_43, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|~r2_tarski(esk2_0,esk4_0)|~r2_tarski(esk3_0,esk4_0)|esk3_0!=k2_xcmplx_0(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_44, negated_conjecture, (r2_tarski(esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_45, negated_conjecture, (r2_hidden(esk3_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_33])]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_46, plain, (r2_hidden(k4_tarski(X1,k2_xcmplx_0(X2,X1)),k2_relset_3(X3,X2))|~v1_xcmplx_0(k2_xcmplx_0(X2,X1))|~v1_xcmplx_0(X2)|~v1_xcmplx_0(X1)|~v1_membered(X3)|~r2_hidden(k2_xcmplx_0(X2,X1),X3)|~r2_hidden(X1,X3)), inference(er,[status(thm)],[c_0_42])).
cnf(c_0_47, negated_conjecture, (esk3_0=k2_xcmplx_0(esk1_0,esk2_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_48, negated_conjecture, (k2_xcmplx_0(esk1_0,esk2_0)!=esk3_0|~r2_tarski(esk3_0,esk4_0)|~r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
cnf(c_0_49, negated_conjecture, (r2_tarski(esk3_0,esk4_0)), inference(spm,[status(thm)],[c_0_38, c_0_45])).
cnf(c_0_50, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(X1,esk1_0))|~v1_membered(X1)|~r2_hidden(esk3_0,X1)|~r2_hidden(esk2_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_33]), c_0_34])]), c_0_35])])).
cnf(c_0_51, negated_conjecture, (k2_xcmplx_0(esk1_0,esk2_0)!=esk3_0|~r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
cnf(c_0_52, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_45]), c_0_36]), c_0_39])])).
cnf(c_0_53, plain, (X1=k2_xcmplx_0(X2,X3)|~r2_hidden(k4_tarski(X3,X1),k2_relset_3(X4,X2))|~v1_membered(X4)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X3)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_54, negated_conjecture, (k2_xcmplx_0(esk1_0,esk2_0)!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])).
cnf(c_0_55, negated_conjecture, ($false), 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_53, c_0_52]), c_0_34]), c_0_33]), c_0_35]), c_0_36])]), c_0_54]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 56
# Proof object clause steps            : 39
# Proof object formula steps           : 17
# Proof object conjectures             : 27
# Proof object clause conjectures      : 24
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 16
# Proof object simplifying inferences  : 33
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 19
# Processed clauses                    : 67
# ...of these trivial                  : 2
# ...subsumed                          : 3
# ...remaining for further processing  : 61
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 11
# Generated clauses                    : 35
# ...of the previous two non-trivial   : 32
# Contextual simplify-reflections      : 0
# Paramodulations                      : 34
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 28
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 1
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 765
# Rec. Clause-clause subsumption calls : 323
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 32
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2061

# -------------------------------------------------
# User time                : 0.014 s
# System time              : 0.008 s
# Total time               : 0.022 s
# Maximum resident set size: 2888 pages
