# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc5_membered, axiom, ![X1]:(v3_membered(X1)=>v1_membered(X1)), file('relset_3/relset_3__t27_relset_3', cc5_membered)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('relset_3/relset_3__t27_relset_3', cc3_membered)).
fof(t27_relset_3, conjecture, ![X1]:(v1_rat_1(X1)=>![X2]:(v1_rat_1(X2)=>![X3]:(v1_rat_1(X3)=>![X4]:(v4_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__t27_relset_3', t27_relset_3)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('relset_3/relset_3__t27_relset_3', cc3_xreal_0)).
fof(cc1_rat_1, axiom, ![X1]:(v1_rat_1(X1)=>v1_xreal_0(X1)), file('relset_3/relset_3__t27_relset_3', cc1_rat_1)).
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__t27_relset_3', t11_relset_3)).
fof(c_0_6, plain, ![X22]:(~v3_membered(X22)|v1_membered(X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_membered])])).
fof(c_0_7, plain, ![X24]:(~v4_membered(X24)|v3_membered(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
fof(c_0_8, negated_conjecture, ~(![X1]:(v1_rat_1(X1)=>![X2]:(v1_rat_1(X2)=>![X3]:(v1_rat_1(X3)=>![X4]:(v4_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)))))))), inference(assume_negation,[status(cth)],[t27_relset_3])).
fof(c_0_9, plain, ![X21]:(~v1_xreal_0(X21)|v1_xcmplx_0(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_10, plain, ![X23]:(~v1_rat_1(X23)|v1_xreal_0(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_rat_1])])).
cnf(c_0_11, plain, (v1_membered(X1)|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_12, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_13, negated_conjecture, (v1_rat_1(esk1_0)&(v1_rat_1(esk2_0)&(v1_rat_1(esk3_0)&(v4_membered(esk4_0)&((~r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|(~r2_hidden(esk2_0,esk4_0)|~r2_hidden(esk3_0,esk4_0)|esk3_0!=k2_xcmplx_0(esk1_0,esk2_0)))&(((r2_hidden(esk2_0,esk4_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0)))&(r2_hidden(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_8])])])])).
cnf(c_0_14, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_15, plain, (v1_xreal_0(X1)|~v1_rat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_16, plain, ![X25, X26, X27, X28]:((((r2_hidden(X26,X28)|~r2_hidden(k4_tarski(X26,X27),k2_relset_3(X28,X25))|~v1_membered(X28)|~v1_xcmplx_0(X27)|~v1_xcmplx_0(X26)|~v1_xcmplx_0(X25))&(r2_hidden(X27,X28)|~r2_hidden(k4_tarski(X26,X27),k2_relset_3(X28,X25))|~v1_membered(X28)|~v1_xcmplx_0(X27)|~v1_xcmplx_0(X26)|~v1_xcmplx_0(X25)))&(X27=k2_xcmplx_0(X25,X26)|~r2_hidden(k4_tarski(X26,X27),k2_relset_3(X28,X25))|~v1_membered(X28)|~v1_xcmplx_0(X27)|~v1_xcmplx_0(X26)|~v1_xcmplx_0(X25)))&(~r2_hidden(X26,X28)|~r2_hidden(X27,X28)|X27!=k2_xcmplx_0(X25,X26)|r2_hidden(k4_tarski(X26,X27),k2_relset_3(X28,X25))|~v1_membered(X28)|~v1_xcmplx_0(X27)|~v1_xcmplx_0(X26)|~v1_xcmplx_0(X25))), 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_17, plain, (v1_membered(X1)|~v4_membered(X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
cnf(c_0_18, negated_conjecture, (v4_membered(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_19, plain, (v1_xcmplx_0(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
cnf(c_0_20, negated_conjecture, (v1_rat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, negated_conjecture, (v1_rat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_22, negated_conjecture, (v1_rat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_23, 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_16])).
cnf(c_0_24, negated_conjecture, (r2_hidden(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_13])).
cnf(c_0_25, negated_conjecture, (v1_membered(esk4_0)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_26, negated_conjecture, (v1_xcmplx_0(esk1_0)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_27, negated_conjecture, (v1_xcmplx_0(esk2_0)), inference(spm,[status(thm)],[c_0_19, c_0_21])).
cnf(c_0_28, negated_conjecture, (v1_xcmplx_0(esk3_0)), inference(spm,[status(thm)],[c_0_19, c_0_22])).
cnf(c_0_29, 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_16])).
cnf(c_0_30, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),k2_relset_3(esk4_0,esk1_0))|~r2_hidden(esk2_0,esk4_0)|~r2_hidden(esk3_0,esk4_0)|esk3_0!=k2_xcmplx_0(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_31, 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28])])).
cnf(c_0_32, 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_16])).
cnf(c_0_33, negated_conjecture, (r2_hidden(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_13])).
cnf(c_0_34, plain, (r2_hidden(k4_tarski(X1,k2_xcmplx_0(X2,X1)),k2_relset_3(X3,X2))|~v1_membered(X3)|~v1_xcmplx_0(k2_xcmplx_0(X2,X1))|~v1_xcmplx_0(X2)|~v1_xcmplx_0(X1)|~r2_hidden(k2_xcmplx_0(X2,X1),X3)|~r2_hidden(X1,X3)), inference(er,[status(thm)],[c_0_29])).
cnf(c_0_35, 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_13])).
cnf(c_0_36, 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))|~r2_hidden(esk2_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
cnf(c_0_37, negated_conjecture, (r2_hidden(esk2_0,esk4_0)), 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_32, c_0_33]), c_0_25]), c_0_26]), c_0_28]), c_0_27])])).
cnf(c_0_38, 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_28]), c_0_26]), c_0_27])])).
cnf(c_0_39, 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_36, c_0_37])])).
cnf(c_0_40, 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_38, c_0_31]), c_0_25]), c_0_37])])).
cnf(c_0_41, 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_16])).
cnf(c_0_42, negated_conjecture, (k2_xcmplx_0(esk1_0,esk2_0)!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
cnf(c_0_43, 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_41, c_0_40]), c_0_25]), c_0_27]), c_0_26]), c_0_28])]), c_0_42]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 44
# Proof object clause steps            : 31
# Proof object formula steps           : 13
# Proof object conjectures             : 23
# Proof object clause conjectures      : 20
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 30
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 16
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 16
# Processed clauses                    : 49
# ...of these trivial                  : 1
# ...subsumed                          : 0
# ...remaining for further processing  : 47
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 8
# Generated clauses                    : 21
# ...of the previous two non-trivial   : 20
# Contextual simplify-reflections      : 0
# Paramodulations                      : 20
# 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  : 22
#    Positive orientable unit clauses  : 11
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 10
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 413
# Rec. Clause-clause subsumption calls : 100
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 15
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1732

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.000 s
# Total time               : 0.024 s
# Maximum resident set size: 2988 pages
