# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___200_B02_F1_AE_CS_SP_PI_S0S
# and selection function SelectComplexG.
#
# Preprocessing time       : 0.020 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('number15/number15__t64_number15', fc7_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('number15/number15__t64_number15', redefinition_k9_finseq_1)).
fof(fc10_rvsum_1, axiom, ![X1]:(v1_xcmplx_0(X1)=>v1_valued_0(k5_finseq_1(X1))), file('number15/number15__t64_number15', fc10_rvsum_1)).
fof(t64_number15, conjecture, ![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__t64_number15', t64_number15)).
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__t64_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__t64_number15', dt_k9_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__t64_number15', t63_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__t64_number15', d9_finseq_1)).
fof(c_0_8, plain, ![X20]:v1_finseq_1(k5_finseq_1(X20)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_9, plain, ![X21]:k9_finseq_1(X21)=k5_finseq_1(X21), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_10, plain, ![X19]:(~v1_xcmplx_0(X19)|v1_valued_0(k5_finseq_1(X19))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_rvsum_1])])).
fof(c_0_11, negated_conjecture, ~(![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))))), inference(assume_negation,[status(cth)],[t64_number15])).
fof(c_0_12, plain, ![X22, X23]:(~v1_relat_1(X22)|~v1_funct_1(X22)|~v1_finseq_1(X22)|~v1_valued_0(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23)|~v1_finseq_1(X23)|~v1_valued_0(X23)|k35_valued_1(k7_finseq_1(X22,X23))=k7_finseq_1(k35_valued_1(X22),k35_valued_1(X23)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_number15])])])).
cnf(c_0_13, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_14, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_15, plain, ![X18]:(v1_relat_1(k9_finseq_1(X18))&v1_funct_1(k9_finseq_1(X18))), inference(variable_rename,[status(thm)],[dt_k9_finseq_1])).
cnf(c_0_16, plain, (v1_valued_0(k5_finseq_1(X1))|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_17, negated_conjecture, (v1_xcmplx_0(esk1_0)&(v1_xcmplx_0(esk2_0)&k35_valued_1(k10_finseq_1(esk1_0,esk2_0))!=k10_finseq_1(k5_xcmplx_0(esk1_0),k5_xcmplx_0(esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_18, plain, ![X24]:(~v1_xcmplx_0(X24)|k35_valued_1(k9_finseq_1(X24))=k9_finseq_1(k5_xcmplx_0(X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_number15])])).
cnf(c_0_19, 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_12])).
cnf(c_0_20, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_21, plain, (v1_funct_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (v1_relat_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (v1_valued_0(k9_finseq_1(X1))|~v1_xcmplx_0(X1)), inference(rw,[status(thm)],[c_0_16, c_0_14])).
cnf(c_0_24, negated_conjecture, (v1_xcmplx_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, 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_26, plain, (k7_finseq_1(k35_valued_1(X1),k35_valued_1(k9_finseq_1(X2)))=k35_valued_1(k7_finseq_1(X1,k9_finseq_1(X2)))|~v1_finseq_1(X1)|~v1_valued_0(k9_finseq_1(X2))|~v1_valued_0(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_22])])).
cnf(c_0_27, negated_conjecture, (v1_valued_0(k9_finseq_1(esk2_0))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_28, negated_conjecture, (k35_valued_1(k9_finseq_1(esk2_0))=k9_finseq_1(k5_xcmplx_0(esk2_0))), inference(spm,[status(thm)],[c_0_25, c_0_24])).
fof(c_0_29, plain, ![X16, X17]:k10_finseq_1(X16,X17)=k7_finseq_1(k9_finseq_1(X16),k9_finseq_1(X17)), inference(variable_rename,[status(thm)],[d9_finseq_1])).
cnf(c_0_30, negated_conjecture, (k7_finseq_1(k35_valued_1(X1),k9_finseq_1(k5_xcmplx_0(esk2_0)))=k35_valued_1(k7_finseq_1(X1,k9_finseq_1(esk2_0)))|~v1_finseq_1(X1)|~v1_valued_0(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
cnf(c_0_31, negated_conjecture, (v1_xcmplx_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_32, negated_conjecture, (k35_valued_1(k10_finseq_1(esk1_0,esk2_0))!=k10_finseq_1(k5_xcmplx_0(esk1_0),k5_xcmplx_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_33, plain, (k10_finseq_1(X1,X2)=k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_34, negated_conjecture, (k7_finseq_1(k35_valued_1(k9_finseq_1(X1)),k9_finseq_1(k5_xcmplx_0(esk2_0)))=k35_valued_1(k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(esk2_0)))|~v1_valued_0(k9_finseq_1(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_20]), c_0_21]), c_0_22])])).
cnf(c_0_35, negated_conjecture, (v1_valued_0(k9_finseq_1(esk1_0))), inference(spm,[status(thm)],[c_0_23, c_0_31])).
cnf(c_0_36, negated_conjecture, (k35_valued_1(k9_finseq_1(esk1_0))=k9_finseq_1(k5_xcmplx_0(esk1_0))), inference(spm,[status(thm)],[c_0_25, c_0_31])).
cnf(c_0_37, negated_conjecture, (k35_valued_1(k7_finseq_1(k9_finseq_1(esk1_0),k9_finseq_1(esk2_0)))!=k7_finseq_1(k9_finseq_1(k5_xcmplx_0(esk1_0)),k9_finseq_1(k5_xcmplx_0(esk2_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33]), c_0_33])).
cnf(c_0_38, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_37]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 39
# Proof object clause steps            : 22
# Proof object formula steps           : 17
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 11
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 8
# Proof object simplifying inferences  : 13
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 11
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 9
# Processed clauses                    : 16
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 16
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 10
# ...of the previous two non-trivial   : 9
# Contextual simplify-reflections      : 0
# Paramodulations                      : 10
# 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  : 16
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 6
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 5
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2
# Clause-clause subsumption calls (NU) : 22
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 4
# 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          : 1040

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.006 s
# Total time               : 0.023 s
# Maximum resident set size: 3692 pages
