# 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(t12_number15, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>![X4]:(v1_int_1(X4)=>(r2_tarski(X1,k1_number15(X2,X3,X4))<=>(k5_int_1(X1,X3)=X4&r1_int_1(X1,X2))))))), file('number15/number15__t12_number15', t12_number15)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number15/number15__t12_number15', redefinition_r2_tarski)).
fof(d1_number15, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>k1_number15(X1,X2,X3)=a_3_0_number15(X1,X2,X3)))), file('number15/number15__t12_number15', d1_number15)).
fof(fraenkel_a_3_0_number15, axiom, ![X1, X2, X3, X4]:(((v1_int_1(X2)&v1_int_1(X3))&v1_int_1(X4))=>(r2_hidden(X1,a_3_0_number15(X2,X3,X4))<=>?[X5]:(((v7_ordinal1(X5)&X1=X5)&k5_int_1(X5,X3)=X4)&r1_int_1(X5,X2)))), file('number15/number15__t12_number15', fraenkel_a_3_0_number15)).
fof(c_0_4, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>![X4]:(v1_int_1(X4)=>(r2_tarski(X1,k1_number15(X2,X3,X4))<=>(k5_int_1(X1,X3)=X4&r1_int_1(X1,X2)))))))), inference(assume_negation,[status(cth)],[t12_number15])).
fof(c_0_5, plain, ![X33, X34]:((~r2_tarski(X33,X34)|r2_hidden(X33,X34))&(~r2_hidden(X33,X34)|r2_tarski(X33,X34))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_6, negated_conjecture, (v7_ordinal1(esk1_0)&(v1_int_1(esk2_0)&(v1_int_1(esk3_0)&(v1_int_1(esk4_0)&((~r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|(k5_int_1(esk1_0,esk3_0)!=esk4_0|~r1_int_1(esk1_0,esk2_0)))&((k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0)))&(r1_int_1(esk1_0,esk2_0)|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
cnf(c_0_7, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_9, plain, ![X24, X25, X26]:(~v1_int_1(X24)|(~v1_int_1(X25)|(~v1_int_1(X26)|k1_number15(X24,X25,X26)=a_3_0_number15(X24,X25,X26)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_number15])])])).
fof(c_0_10, plain, ![X27, X28, X29, X30, X32]:(((((v7_ordinal1(esk5_4(X27,X28,X29,X30))|~r2_hidden(X27,a_3_0_number15(X28,X29,X30))|(~v1_int_1(X28)|~v1_int_1(X29)|~v1_int_1(X30)))&(X27=esk5_4(X27,X28,X29,X30)|~r2_hidden(X27,a_3_0_number15(X28,X29,X30))|(~v1_int_1(X28)|~v1_int_1(X29)|~v1_int_1(X30))))&(k5_int_1(esk5_4(X27,X28,X29,X30),X29)=X30|~r2_hidden(X27,a_3_0_number15(X28,X29,X30))|(~v1_int_1(X28)|~v1_int_1(X29)|~v1_int_1(X30))))&(r1_int_1(esk5_4(X27,X28,X29,X30),X28)|~r2_hidden(X27,a_3_0_number15(X28,X29,X30))|(~v1_int_1(X28)|~v1_int_1(X29)|~v1_int_1(X30))))&(~v7_ordinal1(X32)|X27!=X32|k5_int_1(X32,X29)!=X30|~r1_int_1(X32,X28)|r2_hidden(X27,a_3_0_number15(X28,X29,X30))|(~v1_int_1(X28)|~v1_int_1(X29)|~v1_int_1(X30)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_3_0_number15])])])])])).
cnf(c_0_11, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
cnf(c_0_12, plain, (k1_number15(X1,X2,X3)=a_3_0_number15(X1,X2,X3)|~v1_int_1(X1)|~v1_int_1(X2)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13, negated_conjecture, (v1_int_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_14, negated_conjecture, (v1_int_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_15, negated_conjecture, (v1_int_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_16, negated_conjecture, (r1_int_1(esk1_0,esk2_0)|r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_17, negated_conjecture, (~r2_tarski(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|k5_int_1(esk1_0,esk3_0)!=esk4_0|~r1_int_1(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_18, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_19, plain, (X1=esk5_4(X1,X2,X3,X4)|~r2_hidden(X1,a_3_0_number15(X2,X3,X4))|~v1_int_1(X2)|~v1_int_1(X3)|~v1_int_1(X4)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0|r2_hidden(esk1_0,a_3_0_number15(esk2_0,esk3_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_21, negated_conjecture, (r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|r1_int_1(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_7, c_0_16])).
cnf(c_0_22, negated_conjecture, (k5_int_1(esk1_0,esk3_0)!=esk4_0|~r2_hidden(esk1_0,k1_number15(esk2_0,esk3_0,esk4_0))|~r1_int_1(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_23, plain, (k5_int_1(esk5_4(X1,X2,X3,X4),X3)=X4|~r2_hidden(X1,a_3_0_number15(X2,X3,X4))|~v1_int_1(X2)|~v1_int_1(X3)|~v1_int_1(X4)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_24, negated_conjecture, (esk5_4(esk1_0,esk2_0,esk3_0,esk4_0)=esk1_0|k5_int_1(esk1_0,esk3_0)=esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_25, negated_conjecture, (r2_hidden(esk1_0,a_3_0_number15(esk2_0,esk3_0,esk4_0))|r1_int_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_12]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_26, negated_conjecture, (k5_int_1(esk1_0,esk3_0)!=esk4_0|~r2_hidden(esk1_0,a_3_0_number15(esk2_0,esk3_0,esk4_0))|~r1_int_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_12]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_27, negated_conjecture, (k5_int_1(esk1_0,esk3_0)=esk4_0), inference(csr,[status(thm)],[inference(cn,[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_13]), c_0_14]), c_0_15])]), c_0_20])).
cnf(c_0_28, plain, (r1_int_1(esk5_4(X1,X2,X3,X4),X2)|~r2_hidden(X1,a_3_0_number15(X2,X3,X4))|~v1_int_1(X2)|~v1_int_1(X3)|~v1_int_1(X4)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_29, negated_conjecture, (esk5_4(esk1_0,esk2_0,esk3_0,esk4_0)=esk1_0|r1_int_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_25]), c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_30, plain, (r2_hidden(X2,a_3_0_number15(X5,X3,X4))|~v7_ordinal1(X1)|X2!=X1|k5_int_1(X1,X3)!=X4|~r1_int_1(X1,X5)|~v1_int_1(X5)|~v1_int_1(X3)|~v1_int_1(X4)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_31, negated_conjecture, (~r2_hidden(esk1_0,a_3_0_number15(esk2_0,esk3_0,esk4_0))|~r1_int_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
cnf(c_0_32, negated_conjecture, (r1_int_1(esk1_0,esk2_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_13]), c_0_14]), c_0_15])]), c_0_25])).
cnf(c_0_33, plain, (r2_hidden(X1,a_3_0_number15(X2,X3,k5_int_1(X1,X3)))|~r1_int_1(X1,X2)|~v1_int_1(k5_int_1(X1,X3))|~v1_int_1(X2)|~v1_int_1(X3)|~v7_ordinal1(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])])).
cnf(c_0_34, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_35, negated_conjecture, (~r2_hidden(esk1_0,a_3_0_number15(esk2_0,esk3_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
cnf(c_0_36, negated_conjecture, (r2_hidden(esk1_0,a_3_0_number15(X1,esk3_0,esk4_0))|~r1_int_1(esk1_0,X1)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_27]), c_0_13]), c_0_14]), c_0_34])])).
cnf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_32]), c_0_15])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 38
# Proof object clause steps            : 29
# Proof object formula steps           : 9
# Proof object conjectures             : 24
# Proof object clause conjectures      : 21
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 43
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 15
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 15
# Processed clauses                    : 65
# ...of these trivial                  : 0
# ...subsumed                          : 10
# ...remaining for further processing  : 55
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 18
# Generated clauses                    : 54
# ...of the previous two non-trivial   : 40
# Contextual simplify-reflections      : 2
# Paramodulations                      : 53
# 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  : 21
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 11
# Current number of unprocessed clauses: 2
# ...number of literals in the above   : 16
# Current number of archived formulas  : 0
# Current number of archived clauses   : 33
# Clause-clause subsumption calls (NU) : 235
# Rec. Clause-clause subsumption calls : 92
# Non-unit clause-clause subsumptions  : 8
# Unit Clause-clause subsumption calls : 4
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2107

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.003 s
# Total time               : 0.025 s
# Maximum resident set size: 3696 pages
