# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t10_classes5, conjecture, ![X1, X2, X3, X4, X5, X6, X7, X8, X9, X10]:(k1_classes5(X1,X2,X3,X4,X5)=k1_classes5(X6,X7,X8,X9,X10)=>((((X1=X6&X2=X7)&X3=X8)&X4=X9)&X5=X10)), file('classes5/classes5__t10_classes5', t10_classes5)).
fof(d1_classes5, axiom, ![X1, X2, X3, X4, X5]:k1_classes5(X1,X2,X3,X4,X5)=k4_tarski(k6_xtuple_0(X1,X2,X3,X4),X5), file('classes5/classes5__t10_classes5', d1_classes5)).
fof(d5_tarski, axiom, ![X1, X2]:k4_tarski(X1,X2)=k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)), file('classes5/classes5__t10_classes5', d5_tarski)).
fof(t1_xtuple_0, axiom, ![X1, X2, X3, X4]:(k4_tarski(X1,X2)=k4_tarski(X3,X4)=>(X1=X3&X2=X4)), file('classes5/classes5__t10_classes5', t1_xtuple_0)).
fof(t5_xtuple_0, axiom, ![X1, X2, X3, X4, X5, X6, X7, X8]:(k6_xtuple_0(X1,X2,X3,X4)=k6_xtuple_0(X5,X6,X7,X8)=>(((X1=X5&X2=X6)&X3=X7)&X4=X8)), file('classes5/classes5__t10_classes5', t5_xtuple_0)).
fof(c_0_5, negated_conjecture, ~(![X1, X2, X3, X4, X5, X6, X7, X8, X9, X10]:(k1_classes5(X1,X2,X3,X4,X5)=k1_classes5(X6,X7,X8,X9,X10)=>((((X1=X6&X2=X7)&X3=X8)&X4=X9)&X5=X10))), inference(assume_negation,[status(cth)],[t10_classes5])).
fof(c_0_6, plain, ![X50, X51, X52, X53, X54]:k1_classes5(X50,X51,X52,X53,X54)=k4_tarski(k6_xtuple_0(X50,X51,X52,X53),X54), inference(variable_rename,[status(thm)],[d1_classes5])).
fof(c_0_7, plain, ![X55, X56]:k4_tarski(X55,X56)=k2_tarski(k2_tarski(X55,X56),k1_tarski(X55)), inference(variable_rename,[status(thm)],[d5_tarski])).
fof(c_0_8, plain, ![X57, X58, X59, X60]:((X57=X59|k4_tarski(X57,X58)!=k4_tarski(X59,X60))&(X58=X60|k4_tarski(X57,X58)!=k4_tarski(X59,X60))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xtuple_0])])])).
fof(c_0_9, negated_conjecture, (k1_classes5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)=k1_classes5(esk6_0,esk7_0,esk8_0,esk9_0,esk10_0)&(esk1_0!=esk6_0|esk2_0!=esk7_0|esk3_0!=esk8_0|esk4_0!=esk9_0|esk5_0!=esk10_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
cnf(c_0_10, plain, (k1_classes5(X1,X2,X3,X4,X5)=k4_tarski(k6_xtuple_0(X1,X2,X3,X4),X5)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_11, plain, (k4_tarski(X1,X2)=k2_tarski(k2_tarski(X1,X2),k1_tarski(X1))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, plain, (X1=X2|k4_tarski(X3,X1)!=k4_tarski(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, negated_conjecture, (k1_classes5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)=k1_classes5(esk6_0,esk7_0,esk8_0,esk9_0,esk10_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (k1_classes5(X1,X2,X3,X4,X5)=k2_tarski(k2_tarski(k6_xtuple_0(X1,X2,X3,X4),X5),k1_tarski(k6_xtuple_0(X1,X2,X3,X4)))), inference(rw,[status(thm)],[c_0_10, c_0_11])).
cnf(c_0_15, plain, (X1=X2|k2_tarski(k2_tarski(X3,X1),k1_tarski(X3))!=k2_tarski(k2_tarski(X4,X2),k1_tarski(X4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_11]), c_0_11])).
cnf(c_0_16, negated_conjecture, (k2_tarski(k2_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0),esk10_0),k1_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)))=k2_tarski(k2_tarski(k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk4_0),esk5_0),k1_tarski(k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk4_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_14])).
cnf(c_0_17, negated_conjecture, (X1=esk5_0|k2_tarski(k2_tarski(X2,X1),k1_tarski(X2))!=k2_tarski(k2_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0),esk10_0),k1_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
cnf(c_0_18, plain, (X1=X2|k4_tarski(X1,X3)!=k4_tarski(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_19, negated_conjecture, (esk5_0=esk10_0), inference(er,[status(thm)],[c_0_17])).
cnf(c_0_20, plain, (X1=X2|k2_tarski(k2_tarski(X1,X3),k1_tarski(X1))!=k2_tarski(k2_tarski(X2,X4),k1_tarski(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_11]), c_0_11])).
cnf(c_0_21, negated_conjecture, (k2_tarski(k2_tarski(k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk4_0),esk10_0),k1_tarski(k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk4_0)))=k2_tarski(k2_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0),esk10_0),k1_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)))), inference(rw,[status(thm)],[c_0_16, c_0_19])).
fof(c_0_22, plain, ![X61, X62, X63, X64, X65, X66, X67, X68]:((((X61=X65|k6_xtuple_0(X61,X62,X63,X64)!=k6_xtuple_0(X65,X66,X67,X68))&(X62=X66|k6_xtuple_0(X61,X62,X63,X64)!=k6_xtuple_0(X65,X66,X67,X68)))&(X63=X67|k6_xtuple_0(X61,X62,X63,X64)!=k6_xtuple_0(X65,X66,X67,X68)))&(X64=X68|k6_xtuple_0(X61,X62,X63,X64)!=k6_xtuple_0(X65,X66,X67,X68))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_xtuple_0])])])).
cnf(c_0_23, negated_conjecture, (X1=k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk4_0)|k2_tarski(k2_tarski(X1,X2),k1_tarski(X1))!=k2_tarski(k2_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0),esk10_0),k1_tarski(k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_24, plain, (X1=X2|k6_xtuple_0(X3,X4,X5,X1)!=k6_xtuple_0(X6,X7,X8,X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_25, negated_conjecture, (k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk4_0)=k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)), inference(er,[status(thm)],[c_0_23])).
cnf(c_0_26, negated_conjecture, (esk4_0=X1|k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)!=k6_xtuple_0(X2,X3,X4,X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_27, negated_conjecture, (esk4_0=esk9_0), inference(er,[status(thm)],[c_0_26])).
cnf(c_0_28, plain, (X1=X2|k6_xtuple_0(X3,X4,X1,X5)!=k6_xtuple_0(X6,X7,X2,X8)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, negated_conjecture, (k6_xtuple_0(esk1_0,esk2_0,esk3_0,esk9_0)=k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)), inference(rw,[status(thm)],[c_0_25, c_0_27])).
cnf(c_0_30, negated_conjecture, (esk3_0=X1|k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)!=k6_xtuple_0(X2,X3,X1,X4)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_31, negated_conjecture, (esk3_0=esk8_0), inference(er,[status(thm)],[c_0_30])).
cnf(c_0_32, plain, (X1=X2|k6_xtuple_0(X3,X1,X4,X5)!=k6_xtuple_0(X6,X2,X7,X8)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_33, negated_conjecture, (k6_xtuple_0(esk1_0,esk2_0,esk8_0,esk9_0)=k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)), inference(rw,[status(thm)],[c_0_29, c_0_31])).
cnf(c_0_34, negated_conjecture, (esk1_0!=esk6_0|esk2_0!=esk7_0|esk3_0!=esk8_0|esk4_0!=esk9_0|esk5_0!=esk10_0), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_35, negated_conjecture, (esk2_0=X1|k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)!=k6_xtuple_0(X2,X1,X3,X4)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_36, negated_conjecture, (esk1_0!=esk6_0|esk2_0!=esk7_0|esk3_0!=esk8_0|esk4_0!=esk9_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_19])])).
cnf(c_0_37, negated_conjecture, (esk2_0=esk7_0), inference(er,[status(thm)],[c_0_35])).
cnf(c_0_38, negated_conjecture, (esk1_0!=esk6_0|esk2_0!=esk7_0|esk3_0!=esk8_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_27])])).
cnf(c_0_39, plain, (X1=X2|k6_xtuple_0(X1,X3,X4,X5)!=k6_xtuple_0(X2,X6,X7,X8)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_40, negated_conjecture, (k6_xtuple_0(esk1_0,esk7_0,esk8_0,esk9_0)=k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)), inference(rw,[status(thm)],[c_0_33, c_0_37])).
cnf(c_0_41, negated_conjecture, (esk1_0!=esk6_0|esk2_0!=esk7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_31])])).
cnf(c_0_42, negated_conjecture, (esk1_0=X1|k6_xtuple_0(esk6_0,esk7_0,esk8_0,esk9_0)!=k6_xtuple_0(X1,X2,X3,X4)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_43, negated_conjecture, (esk1_0!=esk6_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_37])])).
cnf(c_0_44, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_42]), c_0_43]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 45
# Proof object clause steps            : 34
# Proof object formula steps           : 11
# Proof object conjectures             : 26
# Proof object clause conjectures      : 23
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 10
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 20
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 10
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 8
# Processed clauses                    : 54
# ...of these trivial                  : 0
# ...subsumed                          : 19
# ...remaining for further processing  : 35
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 14
# Generated clauses                    : 58
# ...of the previous two non-trivial   : 64
# Contextual simplify-reflections      : 0
# Paramodulations                      : 46
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 12
# 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  : 13
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 7
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 2
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 126
# Rec. Clause-clause subsumption calls : 126
# Non-unit clause-clause subsumptions  : 19
# Unit Clause-clause subsumption calls : 6
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1668

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.009 s
# Total time               : 0.026 s
# Maximum resident set size: 3640 pages
