# 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(t65_number15, conjecture, ![X1]:(v1_xcmplx_0(X1)=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(v1_xcmplx_0(X3)=>k35_valued_1(k11_finseq_1(X1,X2,X3))=k11_finseq_1(k5_xcmplx_0(X1),k5_xcmplx_0(X2),k5_xcmplx_0(X3))))), file('number15/number15__t65_number15', t65_number15)).
fof(d10_finseq_1, axiom, ![X1, X2, X3]:k11_finseq_1(X1,X2,X3)=k7_finseq_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)),k9_finseq_1(X3)), file('number15/number15__t65_number15', d10_finseq_1)).
fof(t63_number15, axiom, ![X1]:(v1_xcmplx_0(X1)=>k35_valued_1(k9_finseq_1(X1))=k9_finseq_1(k5_xcmplx_0(X1))), file('number15/number15__t65_number15', t63_number15)).
fof(t64_number15, axiom, ![X1]:(v1_xcmplx_0(X1)=>![X2]:(v1_xcmplx_0(X2)=>k35_valued_1(k10_finseq_1(X1,X2))=k10_finseq_1(k5_xcmplx_0(X1),k5_xcmplx_0(X2)))), file('number15/number15__t65_number15', t64_number15)).
fof(d9_finseq_1, axiom, ![X1, X2]:k10_finseq_1(X1,X2)=k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)), file('number15/number15__t65_number15', d9_finseq_1)).
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('number15/number15__t65_number15', fc7_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('number15/number15__t65_number15', redefinition_k9_finseq_1)).
fof(fc10_finseq_1, axiom, ![X1, X2]:v1_finseq_1(k10_finseq_1(X1,X2)), file('number15/number15__t65_number15', fc10_finseq_1)).
fof(fc8_finseq_1, axiom, ![X1, X2]:(v1_relat_1(k10_finseq_1(X1,X2))&v1_funct_1(k10_finseq_1(X1,X2))), file('number15/number15__t65_number15', fc8_finseq_1)).
fof(t60_number15, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>![X2]:((((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))&v1_valued_0(X2))=>k35_valued_1(k7_finseq_1(X1,X2))=k7_finseq_1(k35_valued_1(X1),k35_valued_1(X2)))), file('number15/number15__t65_number15', t60_number15)).
fof(dt_k9_finseq_1, axiom, ![X1]:(v1_relat_1(k9_finseq_1(X1))&v1_funct_1(k9_finseq_1(X1))), file('number15/number15__t65_number15', dt_k9_finseq_1)).
fof(fc11_rvsum_1, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>v1_valued_0(k10_finseq_1(X1,X2))), file('number15/number15__t65_number15', fc11_rvsum_1)).
fof(fc10_rvsum_1, axiom, ![X1]:(v1_xcmplx_0(X1)=>v1_valued_0(k5_finseq_1(X1))), file('number15/number15__t65_number15', fc10_rvsum_1)).
fof(c_0_13, negated_conjecture, ~(![X1]:(v1_xcmplx_0(X1)=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(v1_xcmplx_0(X3)=>k35_valued_1(k11_finseq_1(X1,X2,X3))=k11_finseq_1(k5_xcmplx_0(X1),k5_xcmplx_0(X2),k5_xcmplx_0(X3)))))), inference(assume_negation,[status(cth)],[t65_number15])).
fof(c_0_14, negated_conjecture, (v1_xcmplx_0(esk1_0)&(v1_xcmplx_0(esk2_0)&(v1_xcmplx_0(esk3_0)&k35_valued_1(k11_finseq_1(esk1_0,esk2_0,esk3_0))!=k11_finseq_1(k5_xcmplx_0(esk1_0),k5_xcmplx_0(esk2_0),k5_xcmplx_0(esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
fof(c_0_15, plain, ![X30, X31, X32]:k11_finseq_1(X30,X31,X32)=k7_finseq_1(k7_finseq_1(k9_finseq_1(X30),k9_finseq_1(X31)),k9_finseq_1(X32)), inference(variable_rename,[status(thm)],[d10_finseq_1])).
cnf(c_0_16, negated_conjecture, (k35_valued_1(k11_finseq_1(esk1_0,esk2_0,esk3_0))!=k11_finseq_1(k5_xcmplx_0(esk1_0),k5_xcmplx_0(esk2_0),k5_xcmplx_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_17, plain, (k11_finseq_1(X1,X2,X3)=k7_finseq_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)),k9_finseq_1(X3))), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_18, plain, ![X47]:(~v1_xcmplx_0(X47)|k35_valued_1(k9_finseq_1(X47))=k9_finseq_1(k5_xcmplx_0(X47))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_number15])])).
fof(c_0_19, plain, ![X48, X49]:(~v1_xcmplx_0(X48)|(~v1_xcmplx_0(X49)|k35_valued_1(k10_finseq_1(X48,X49))=k10_finseq_1(k5_xcmplx_0(X48),k5_xcmplx_0(X49)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_number15])])])).
fof(c_0_20, plain, ![X33, X34]:k10_finseq_1(X33,X34)=k7_finseq_1(k9_finseq_1(X33),k9_finseq_1(X34)), inference(variable_rename,[status(thm)],[d9_finseq_1])).
cnf(c_0_21, negated_conjecture, (k35_valued_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(esk1_0),k9_finseq_1(esk2_0)),k9_finseq_1(esk3_0)))!=k7_finseq_1(k7_finseq_1(k9_finseq_1(k5_xcmplx_0(esk1_0)),k9_finseq_1(k5_xcmplx_0(esk2_0))),k9_finseq_1(k5_xcmplx_0(esk3_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17]), c_0_17])).
cnf(c_0_22, plain, (k35_valued_1(k9_finseq_1(X1))=k9_finseq_1(k5_xcmplx_0(X1))|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_23, negated_conjecture, (v1_xcmplx_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_24, plain, (k35_valued_1(k10_finseq_1(X1,X2))=k10_finseq_1(k5_xcmplx_0(X1),k5_xcmplx_0(X2))|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, plain, (k10_finseq_1(X1,X2)=k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2))), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_26, plain, ![X41]:v1_finseq_1(k5_finseq_1(X41)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_27, plain, ![X44]:k9_finseq_1(X44)=k5_finseq_1(X44), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_28, plain, ![X36, X37]:v1_finseq_1(k10_finseq_1(X36,X37)), inference(variable_rename,[status(thm)],[fc10_finseq_1])).
fof(c_0_29, plain, ![X42, X43]:(v1_relat_1(k10_finseq_1(X42,X43))&v1_funct_1(k10_finseq_1(X42,X43))), inference(variable_rename,[status(thm)],[fc8_finseq_1])).
cnf(c_0_30, negated_conjecture, (k7_finseq_1(k7_finseq_1(k9_finseq_1(k5_xcmplx_0(esk1_0)),k9_finseq_1(k5_xcmplx_0(esk2_0))),k35_valued_1(k9_finseq_1(esk3_0)))!=k35_valued_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(esk1_0),k9_finseq_1(esk2_0)),k9_finseq_1(esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])])).
cnf(c_0_31, plain, (k35_valued_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)))=k7_finseq_1(k9_finseq_1(k5_xcmplx_0(X1)),k9_finseq_1(k5_xcmplx_0(X2)))|~v1_xcmplx_0(X2)|~v1_xcmplx_0(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_25])).
cnf(c_0_32, negated_conjecture, (v1_xcmplx_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_33, negated_conjecture, (v1_xcmplx_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_34, plain, ![X45, X46]:(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_finseq_1(X45)|~v1_valued_0(X45)|(~v1_relat_1(X46)|~v1_funct_1(X46)|~v1_finseq_1(X46)|~v1_valued_0(X46)|k35_valued_1(k7_finseq_1(X45,X46))=k7_finseq_1(k35_valued_1(X45),k35_valued_1(X46)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_number15])])])).
cnf(c_0_35, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, plain, (v1_finseq_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_38, plain, ![X35]:(v1_relat_1(k9_finseq_1(X35))&v1_funct_1(k9_finseq_1(X35))), inference(variable_rename,[status(thm)],[dt_k9_finseq_1])).
cnf(c_0_39, plain, (v1_funct_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_40, plain, (v1_relat_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_29])).
fof(c_0_41, plain, ![X39, X40]:(~v1_xcmplx_0(X39)|~v1_xcmplx_0(X40)|v1_valued_0(k10_finseq_1(X39,X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_rvsum_1])])).
cnf(c_0_42, negated_conjecture, (k7_finseq_1(k35_valued_1(k7_finseq_1(k9_finseq_1(esk1_0),k9_finseq_1(esk2_0))),k35_valued_1(k9_finseq_1(esk3_0)))!=k35_valued_1(k7_finseq_1(k7_finseq_1(k9_finseq_1(esk1_0),k9_finseq_1(esk2_0)),k9_finseq_1(esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_43, plain, (k35_valued_1(k7_finseq_1(X1,X2))=k7_finseq_1(k35_valued_1(X1),k35_valued_1(X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v1_valued_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v1_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_44, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_35, c_0_36])).
cnf(c_0_45, plain, (v1_finseq_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)))), inference(rw,[status(thm)],[c_0_37, c_0_25])).
cnf(c_0_46, plain, (v1_funct_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_47, plain, (v1_funct_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)))), inference(rw,[status(thm)],[c_0_39, c_0_25])).
cnf(c_0_48, plain, (v1_relat_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_49, plain, (v1_relat_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)))), inference(rw,[status(thm)],[c_0_40, c_0_25])).
cnf(c_0_50, plain, (v1_valued_0(k10_finseq_1(X1,X2))|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_51, plain, ![X38]:(~v1_xcmplx_0(X38)|v1_valued_0(k5_finseq_1(X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_rvsum_1])])).
cnf(c_0_52, negated_conjecture, (~v1_valued_0(k7_finseq_1(k9_finseq_1(esk1_0),k9_finseq_1(esk2_0)))|~v1_valued_0(k9_finseq_1(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49])])).
cnf(c_0_53, plain, (v1_valued_0(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)))|~v1_xcmplx_0(X2)|~v1_xcmplx_0(X1)), inference(rw,[status(thm)],[c_0_50, c_0_25])).
cnf(c_0_54, plain, (v1_valued_0(k5_finseq_1(X1))|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_55, negated_conjecture, (~v1_valued_0(k9_finseq_1(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_32]), c_0_33])])).
cnf(c_0_56, plain, (v1_valued_0(k9_finseq_1(X1))|~v1_xcmplx_0(X1)), inference(rw,[status(thm)],[c_0_54, c_0_36])).
cnf(c_0_57, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_23])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 58
# Proof object clause steps            : 31
# Proof object formula steps           : 27
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 27
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 15
# Processed clauses                    : 53
# ...of these trivial                  : 0
# ...subsumed                          : 6
# ...remaining for further processing  : 47
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 45
# ...of the previous two non-trivial   : 44
# Contextual simplify-reflections      : 0
# Paramodulations                      : 45
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 32
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 11
#    Non-unit-clauses                  : 12
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 64
# Current number of archived formulas  : 0
# Current number of archived clauses   : 18
# Clause-clause subsumption calls (NU) : 56
# Rec. Clause-clause subsumption calls : 56
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 46
# 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          : 2230

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.002 s
# Total time               : 0.025 s
# Maximum resident set size: 3520 pages
