# 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(t55_number15, conjecture, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>k3_finseq_1(k35_valued_1(X1))=k3_finseq_1(X1)), file('number15/number15__t55_number15', t55_number15)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('number15/number15__t55_number15', redefinition_k1_relset_1)).
fof(cc5_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(((v1_relat_1(X1)&v4_relat_1(X1,k4_ordinal1))&v1_funct_1(X1))&v1_finseq_1(X1))), file('number15/number15__t55_number15', cc5_finseq_1)).
fof(t29_finseq_3, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>(k3_finseq_1(X1)=k3_finseq_1(X2)<=>k1_relset_1(k4_ordinal1,X1)=k1_relset_1(k4_ordinal1,X2)))), file('number15/number15__t55_number15', t29_finseq_3)).
fof(d7_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_valued_0(X2))=>(X2=k35_valued_1(X1)<=>(k9_xtuple_0(X2)=k9_xtuple_0(X1)&![X3]:(r2_hidden(X3,k9_xtuple_0(X2))=>k1_funct_1(X2,X3)=k5_xcmplx_0(k1_funct_1(X1,X3))))))), file('number15/number15__t55_number15', d7_valued_1)).
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__t55_number15', fc69_valued_1)).
fof(c_0_6, negated_conjecture, ~(![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>k3_finseq_1(k35_valued_1(X1))=k3_finseq_1(X1))), inference(assume_negation,[status(cth)],[t55_number15])).
fof(c_0_7, plain, ![X21, X22]:(~v1_relat_1(X22)|~v4_relat_1(X22,X21)|k1_relset_1(X21,X22)=k9_xtuple_0(X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_8, plain, ![X15]:((((v1_relat_1(X15)|(~v1_relat_1(X15)|~v1_funct_1(X15)|~v1_finseq_1(X15)))&(v4_relat_1(X15,k4_ordinal1)|(~v1_relat_1(X15)|~v1_funct_1(X15)|~v1_finseq_1(X15))))&(v1_funct_1(X15)|(~v1_relat_1(X15)|~v1_funct_1(X15)|~v1_finseq_1(X15))))&(v1_finseq_1(X15)|(~v1_relat_1(X15)|~v1_funct_1(X15)|~v1_finseq_1(X15)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
fof(c_0_9, plain, ![X23, X24]:((k3_finseq_1(X23)!=k3_finseq_1(X24)|k1_relset_1(k4_ordinal1,X23)=k1_relset_1(k4_ordinal1,X24)|(~v1_relat_1(X24)|~v1_funct_1(X24)|~v1_finseq_1(X24))|(~v1_relat_1(X23)|~v1_funct_1(X23)|~v1_finseq_1(X23)))&(k1_relset_1(k4_ordinal1,X23)!=k1_relset_1(k4_ordinal1,X24)|k3_finseq_1(X23)=k3_finseq_1(X24)|(~v1_relat_1(X24)|~v1_funct_1(X24)|~v1_finseq_1(X24))|(~v1_relat_1(X23)|~v1_funct_1(X23)|~v1_finseq_1(X23)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_finseq_3])])])])).
fof(c_0_10, negated_conjecture, ((((v1_relat_1(esk1_0)&v1_funct_1(esk1_0))&v1_finseq_1(esk1_0))&v1_valued_0(esk1_0))&k3_finseq_1(k35_valued_1(esk1_0))!=k3_finseq_1(esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
cnf(c_0_11, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, plain, (v4_relat_1(X1,k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, plain, (k1_relset_1(k4_ordinal1,X1)=k1_relset_1(k4_ordinal1,X2)|k3_finseq_1(X1)!=k3_finseq_1(X2)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (v1_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, plain, (k1_relset_1(k4_ordinal1,X1)=k9_xtuple_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
cnf(c_0_18, negated_conjecture, (k1_relset_1(k4_ordinal1,X1)=k1_relset_1(k4_ordinal1,esk1_0)|k3_finseq_1(X1)!=k3_finseq_1(esk1_0)|~v1_finseq_1(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_13, c_0_14]), c_0_15]), c_0_16])])).
cnf(c_0_19, negated_conjecture, (k1_relset_1(k4_ordinal1,esk1_0)=k9_xtuple_0(X1)|k3_finseq_1(X1)!=k3_finseq_1(esk1_0)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_20, plain, (k3_finseq_1(X1)=k3_finseq_1(X2)|k1_relset_1(k4_ordinal1,X1)!=k1_relset_1(k4_ordinal1,X2)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_21, negated_conjecture, (k1_relset_1(k4_ordinal1,esk1_0)=k9_xtuple_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_19]), c_0_14]), c_0_15]), c_0_16])])).
cnf(c_0_22, negated_conjecture, (k3_finseq_1(esk1_0)=k3_finseq_1(X1)|k1_relset_1(k4_ordinal1,X1)!=k9_xtuple_0(esk1_0)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_14]), c_0_15]), c_0_16])])).
fof(c_0_23, plain, ![X16, X17, X18]:(((k9_xtuple_0(X17)=k9_xtuple_0(X16)|X17!=k35_valued_1(X16)|(~v1_relat_1(X17)|~v1_funct_1(X17)|~v1_valued_0(X17))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16)))&(~r2_hidden(X18,k9_xtuple_0(X17))|k1_funct_1(X17,X18)=k5_xcmplx_0(k1_funct_1(X16,X18))|X17!=k35_valued_1(X16)|(~v1_relat_1(X17)|~v1_funct_1(X17)|~v1_valued_0(X17))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16))))&((r2_hidden(esk2_2(X16,X17),k9_xtuple_0(X17))|k9_xtuple_0(X17)!=k9_xtuple_0(X16)|X17=k35_valued_1(X16)|(~v1_relat_1(X17)|~v1_funct_1(X17)|~v1_valued_0(X17))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16)))&(k1_funct_1(X17,esk2_2(X16,X17))!=k5_xcmplx_0(k1_funct_1(X16,esk2_2(X16,X17)))|k9_xtuple_0(X17)!=k9_xtuple_0(X16)|X17=k35_valued_1(X16)|(~v1_relat_1(X17)|~v1_funct_1(X17)|~v1_valued_0(X17))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_valued_1])])])])])).
cnf(c_0_24, negated_conjecture, (k3_finseq_1(k35_valued_1(esk1_0))!=k3_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, negated_conjecture, (k3_finseq_1(esk1_0)=k3_finseq_1(X1)|k9_xtuple_0(X1)!=k9_xtuple_0(esk1_0)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_22, c_0_17])).
cnf(c_0_26, plain, (k9_xtuple_0(X1)=k9_xtuple_0(X2)|X1!=k35_valued_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_27, negated_conjecture, (k9_xtuple_0(k35_valued_1(esk1_0))!=k9_xtuple_0(esk1_0)|~v1_finseq_1(k35_valued_1(esk1_0))|~v1_funct_1(k35_valued_1(esk1_0))|~v1_relat_1(k35_valued_1(esk1_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_28, plain, (k9_xtuple_0(k35_valued_1(X1))=k9_xtuple_0(X1)|~v1_valued_0(k35_valued_1(X1))|~v1_valued_0(X1)|~v1_funct_1(k35_valued_1(X1))|~v1_funct_1(X1)|~v1_relat_1(k35_valued_1(X1))|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_26])).
cnf(c_0_29, negated_conjecture, (v1_valued_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_30, plain, ![X20]:((((v1_relat_1(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_valued_0(X20)|~v1_finseq_1(X20)))&(v1_funct_1(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_valued_0(X20)|~v1_finseq_1(X20))))&(v1_valued_0(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_valued_0(X20)|~v1_finseq_1(X20))))&(v1_finseq_1(k35_valued_1(X20))|(~v1_relat_1(X20)|~v1_funct_1(X20)|~v1_valued_0(X20)|~v1_finseq_1(X20)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc69_valued_1])])])).
cnf(c_0_31, negated_conjecture, (~v1_valued_0(k35_valued_1(esk1_0))|~v1_finseq_1(k35_valued_1(esk1_0))|~v1_funct_1(k35_valued_1(esk1_0))|~v1_relat_1(k35_valued_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_27, c_0_28]), c_0_29]), c_0_15]), c_0_16])])).
cnf(c_0_32, 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_30])).
cnf(c_0_33, negated_conjecture, (~v1_valued_0(k35_valued_1(esk1_0))|~v1_funct_1(k35_valued_1(esk1_0))|~v1_relat_1(k35_valued_1(esk1_0))), 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_31, c_0_32]), c_0_29]), c_0_14]), c_0_15]), c_0_16])])).
cnf(c_0_34, plain, (v1_valued_0(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_30])).
cnf(c_0_35, negated_conjecture, (~v1_funct_1(k35_valued_1(esk1_0))|~v1_relat_1(k35_valued_1(esk1_0))), 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_33, c_0_34]), c_0_29]), c_0_14]), c_0_15]), c_0_16])])).
cnf(c_0_36, plain, (v1_funct_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_30])).
cnf(c_0_37, negated_conjecture, (~v1_relat_1(k35_valued_1(esk1_0))), 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_35, c_0_36]), c_0_29]), c_0_14]), c_0_15]), c_0_16])])).
cnf(c_0_38, plain, (v1_relat_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_30])).
cnf(c_0_39, negated_conjecture, ($false), 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_37, c_0_38]), c_0_29]), c_0_14]), c_0_15]), c_0_16])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 40
# Proof object clause steps            : 27
# Proof object formula steps           : 13
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 36
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 17
# Processed clauses                    : 52
# ...of these trivial                  : 0
# ...subsumed                          : 2
# ...remaining for further processing  : 50
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 2
# Generated clauses                    : 42
# ...of the previous two non-trivial   : 39
# Contextual simplify-reflections      : 0
# Paramodulations                      : 37
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 26
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 19
# Current number of unprocessed clauses: 20
# ...number of literals in the above   : 164
# Current number of archived formulas  : 0
# Current number of archived clauses   : 22
# Clause-clause subsumption calls (NU) : 99
# Rec. Clause-clause subsumption calls : 8
# Non-unit clause-clause subsumptions  : 5
# Unit Clause-clause subsumption calls : 19
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3232

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.004 s
# Total time               : 0.025 s
# Maximum resident set size: 2988 pages
