# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05EA
# and selection function SelectDivPreferIntoLits.
#
# Preprocessing time       : 0.016 s
# Presaturation interreduction done

# 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__t63_number15', fc7_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('number15/number15__t63_number15', redefinition_k9_finseq_1)).
fof(fc6_finseq_1, axiom, ![X1]:(v1_relat_1(k5_finseq_1(X1))&v1_funct_1(k5_finseq_1(X1))), file('number15/number15__t63_number15', fc6_finseq_1)).
fof(fc10_rvsum_1, axiom, ![X1]:(v1_xcmplx_0(X1)=>v1_valued_0(k5_finseq_1(X1))), file('number15/number15__t63_number15', fc10_rvsum_1)).
fof(t63_number15, conjecture, ![X1]:(v1_xcmplx_0(X1)=>k35_valued_1(k9_finseq_1(X1))=k9_finseq_1(k5_xcmplx_0(X1))), file('number15/number15__t63_number15', t63_number15)).
fof(fc69_valued_1, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))&v1_finseq_1(X1))=>(((v1_relat_1(k35_valued_1(X1))&v1_funct_1(k35_valued_1(X1)))&v1_valued_0(k35_valued_1(X1)))&v1_finseq_1(k35_valued_1(X1)))), file('number15/number15__t63_number15', fc69_valued_1)).
fof(t39_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(X1=k9_finseq_1(X2)<=>(k3_finseq_1(X1)=np__1&k10_xtuple_0(X1)=k1_tarski(X2)))), file('number15/number15__t63_number15', t39_finseq_1)).
fof(dt_k35_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>((v1_relat_1(k35_valued_1(X1))&v1_funct_1(k35_valued_1(X1)))&v1_valued_0(k35_valued_1(X1)))), file('number15/number15__t63_number15', dt_k35_valued_1)).
fof(t10_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:k1_funct_1(k35_valued_1(X1),X2)=k5_xcmplx_0(k1_funct_1(X1,X2))), file('number15/number15__t63_number15', t10_valued_1)).
fof(fc11_finseq_9, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>(((v1_relat_1(k35_valued_1(X1))&v1_funct_1(k35_valued_1(X1)))&v3_card_1(k35_valued_1(X1),k3_finseq_1(X1)))&v1_valued_0(k35_valued_1(X1)))), file('number15/number15__t63_number15', fc11_finseq_9)).
fof(rd6_rvsum_4, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v3_card_1(X1,np__1))&v1_finseq_1(X1))=>k9_finseq_1(k1_funct_1(X1,np__1))=X1), file('number15/number15__t63_number15', rd6_rvsum_4)).
fof(rd1_finseq_1, axiom, ![X1]:k1_funct_1(k9_finseq_1(X1),np__1)=X1, file('number15/number15__t63_number15', rd1_finseq_1)).
fof(c_0_12, plain, ![X23]:v1_finseq_1(k5_finseq_1(X23)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_13, plain, ![X26]:k9_finseq_1(X26)=k5_finseq_1(X26), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_14, plain, ![X22]:(v1_relat_1(k5_finseq_1(X22))&v1_funct_1(k5_finseq_1(X22))), inference(variable_rename,[status(thm)],[fc6_finseq_1])).
fof(c_0_15, 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_16, negated_conjecture, ~(![X1]:(v1_xcmplx_0(X1)=>k35_valued_1(k9_finseq_1(X1))=k9_finseq_1(k5_xcmplx_0(X1)))), inference(assume_negation,[status(cth)],[t63_number15])).
fof(c_0_17, plain, ![X21]:((((v1_relat_1(k35_valued_1(X21))|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_valued_0(X21)|~v1_finseq_1(X21)))&(v1_funct_1(k35_valued_1(X21))|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_valued_0(X21)|~v1_finseq_1(X21))))&(v1_valued_0(k35_valued_1(X21))|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_valued_0(X21)|~v1_finseq_1(X21))))&(v1_finseq_1(k35_valued_1(X21))|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_valued_0(X21)|~v1_finseq_1(X21)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc69_valued_1])])])).
cnf(c_0_18, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_19, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_20, plain, (v1_funct_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (v1_relat_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_22, plain, (v1_valued_0(k5_finseq_1(X1))|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_23, negated_conjecture, (v1_xcmplx_0(esk1_0)&k35_valued_1(k9_finseq_1(esk1_0))!=k9_finseq_1(k5_xcmplx_0(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_24, plain, ![X29, X30]:(((k3_finseq_1(X29)=np__1|X29!=k9_finseq_1(X30)|(~v1_relat_1(X29)|~v1_funct_1(X29)|~v1_finseq_1(X29)))&(k10_xtuple_0(X29)=k1_tarski(X30)|X29!=k9_finseq_1(X30)|(~v1_relat_1(X29)|~v1_funct_1(X29)|~v1_finseq_1(X29))))&(k3_finseq_1(X29)!=np__1|k10_xtuple_0(X29)!=k1_tarski(X30)|X29=k9_finseq_1(X30)|(~v1_relat_1(X29)|~v1_funct_1(X29)|~v1_finseq_1(X29)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_finseq_1])])])])).
fof(c_0_25, plain, ![X18]:(((v1_relat_1(k35_valued_1(X18))|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18)))&(v1_funct_1(k35_valued_1(X18))|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18))))&(v1_valued_0(k35_valued_1(X18))|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k35_valued_1])])])).
fof(c_0_26, plain, ![X27, X28]:(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_valued_0(X27)|k1_funct_1(k35_valued_1(X27),X28)=k5_xcmplx_0(k1_funct_1(X27,X28))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_valued_1])])])).
cnf(c_0_27, plain, (v1_finseq_1(k35_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_28, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_29, plain, (v1_funct_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_20, c_0_19])).
cnf(c_0_30, plain, (v1_relat_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_21, c_0_19])).
cnf(c_0_31, plain, (v1_valued_0(k9_finseq_1(X1))|~v1_xcmplx_0(X1)), inference(rw,[status(thm)],[c_0_22, c_0_19])).
cnf(c_0_32, negated_conjecture, (v1_xcmplx_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_33, plain, ![X20]:((((v1_relat_1(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_finseq_1(X20)|~v1_valued_0(X20)))&(v1_funct_1(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_finseq_1(X20)|~v1_valued_0(X20))))&(v3_card_1(k35_valued_1(X20),k3_finseq_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_finseq_1(X20)|~v1_valued_0(X20))))&(v1_valued_0(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_finseq_1(X20)|~v1_valued_0(X20)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_finseq_9])])])).
cnf(c_0_34, plain, (k3_finseq_1(X1)=np__1|X1!=k9_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_35, plain, (v1_funct_1(k35_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_36, plain, (v1_relat_1(k35_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_37, plain, (k1_funct_1(k35_valued_1(X1),X2)=k5_xcmplx_0(k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_38, plain, ![X25]:(~v1_relat_1(X25)|~v1_funct_1(X25)|~v3_card_1(X25,np__1)|~v1_finseq_1(X25)|k9_finseq_1(k1_funct_1(X25,np__1))=X25), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd6_rvsum_4])])).
cnf(c_0_39, plain, (v1_finseq_1(k35_valued_1(k9_finseq_1(X1)))|~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_27, c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_40, negated_conjecture, (v1_valued_0(k9_finseq_1(esk1_0))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_41, plain, (v3_card_1(k35_valued_1(X1),k3_finseq_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_42, plain, (k3_finseq_1(k9_finseq_1(X1))=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_34]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_43, plain, (v1_funct_1(k35_valued_1(k9_finseq_1(X1)))|~v1_valued_0(k9_finseq_1(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_30]), c_0_29])])).
cnf(c_0_44, plain, (v1_relat_1(k35_valued_1(k9_finseq_1(X1)))|~v1_valued_0(k9_finseq_1(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_30]), c_0_29])])).
cnf(c_0_45, plain, (k5_xcmplx_0(k1_funct_1(k9_finseq_1(X1),X2))=k1_funct_1(k35_valued_1(k9_finseq_1(X1)),X2)|~v1_valued_0(k9_finseq_1(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_30]), c_0_29])])).
fof(c_0_46, plain, ![X24]:k1_funct_1(k9_finseq_1(X24),np__1)=X24, inference(variable_rename,[status(thm)],[rd1_finseq_1])).
cnf(c_0_47, plain, (k9_finseq_1(k1_funct_1(X1,np__1))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v3_card_1(X1,np__1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_48, negated_conjecture, (v1_finseq_1(k35_valued_1(k9_finseq_1(esk1_0)))), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_49, negated_conjecture, (v3_card_1(k35_valued_1(k9_finseq_1(esk1_0)),np__1)), 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_42]), c_0_28]), c_0_29]), c_0_30])])).
cnf(c_0_50, negated_conjecture, (v1_funct_1(k35_valued_1(k9_finseq_1(esk1_0)))), inference(spm,[status(thm)],[c_0_43, c_0_40])).
cnf(c_0_51, negated_conjecture, (v1_relat_1(k35_valued_1(k9_finseq_1(esk1_0)))), inference(spm,[status(thm)],[c_0_44, c_0_40])).
cnf(c_0_52, negated_conjecture, (k5_xcmplx_0(k1_funct_1(k9_finseq_1(esk1_0),X1))=k1_funct_1(k35_valued_1(k9_finseq_1(esk1_0)),X1)), inference(spm,[status(thm)],[c_0_45, c_0_40])).
cnf(c_0_53, plain, (k1_funct_1(k9_finseq_1(X1),np__1)=X1), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_54, negated_conjecture, (k9_finseq_1(k1_funct_1(k35_valued_1(k9_finseq_1(esk1_0)),np__1))=k35_valued_1(k9_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_55, negated_conjecture, (k1_funct_1(k35_valued_1(k9_finseq_1(esk1_0)),np__1)=k5_xcmplx_0(esk1_0)), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_56, negated_conjecture, (k35_valued_1(k9_finseq_1(esk1_0))!=k9_finseq_1(k5_xcmplx_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_57, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55]), c_0_56]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 58
# Proof object clause steps            : 33
# Proof object formula steps           : 25
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 29
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 24
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 23
# Processed clauses                    : 76
# ...of these trivial                  : 0
# ...subsumed                          : 6
# ...remaining for further processing  : 70
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 5
# Generated clauses                    : 57
# ...of the previous two non-trivial   : 51
# Contextual simplify-reflections      : 0
# Paramodulations                      : 54
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 46
#    Positive orientable unit clauses  : 28
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 17
# Current number of unprocessed clauses: 15
# ...number of literals in the above   : 39
# Current number of archived formulas  : 0
# Current number of archived clauses   : 23
# Clause-clause subsumption calls (NU) : 24
# Rec. Clause-clause subsumption calls : 20
# Non-unit clause-clause subsumptions  : 6
# Unit Clause-clause subsumption calls : 13
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 19
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3168

# -------------------------------------------------
# User time                : 0.018 s
# System time              : 0.004 s
# Total time               : 0.021 s
# Maximum resident set size: 3020 pages
