# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S00EN
# and selection function PSelectSmallestOrientable.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t54_number15, conjecture, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>k3_finseq_1(k39_valued_1(X1))=k3_finseq_1(X1)), file('number15/number15__t54_number15', t54_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__t54_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__t54_number15', cc5_finseq_1)).
fof(dt_k39_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>(v1_relat_1(k39_valued_1(X1))&v1_funct_1(k39_valued_1(X1)))), file('number15/number15__t54_number15', dt_k39_valued_1)).
fof(t11_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>(k9_xtuple_0(k39_valued_1(X1))=k9_xtuple_0(X1)&![X2]:k1_funct_1(k39_valued_1(X1),X2)=k1_square_1(k1_funct_1(X1,X2)))), file('number15/number15__t54_number15', t11_valued_1)).
fof(fc80_valued_1, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))&v1_finseq_1(X1))=>((v1_relat_1(k39_valued_1(X1))&v1_funct_1(k39_valued_1(X1)))&v1_finseq_1(k39_valued_1(X1)))), file('number15/number15__t54_number15', fc80_valued_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__t54_number15', t29_finseq_3)).
fof(c_0_7, negated_conjecture, ~(![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>k3_finseq_1(k39_valued_1(X1))=k3_finseq_1(X1))), inference(assume_negation,[status(cth)],[t54_number15])).
fof(c_0_8, plain, ![X17, X18]:(~v1_relat_1(X18)|~v4_relat_1(X18,X17)|k1_relset_1(X17,X18)=k9_xtuple_0(X18)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_9, 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(k39_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_7])])])).
fof(c_0_10, plain, ![X14]:((((v1_relat_1(X14)|(~v1_relat_1(X14)|~v1_funct_1(X14)|~v1_finseq_1(X14)))&(v4_relat_1(X14,k4_ordinal1)|(~v1_relat_1(X14)|~v1_funct_1(X14)|~v1_finseq_1(X14))))&(v1_funct_1(X14)|(~v1_relat_1(X14)|~v1_funct_1(X14)|~v1_finseq_1(X14))))&(v1_finseq_1(X14)|(~v1_relat_1(X14)|~v1_funct_1(X14)|~v1_finseq_1(X14)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
fof(c_0_11, plain, ![X15]:((v1_relat_1(k39_valued_1(X15))|(~v1_relat_1(X15)|~v1_funct_1(X15)|~v1_valued_0(X15)))&(v1_funct_1(k39_valued_1(X15))|(~v1_relat_1(X15)|~v1_funct_1(X15)|~v1_valued_0(X15)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k39_valued_1])])])).
fof(c_0_12, plain, ![X19, X20]:((k9_xtuple_0(k39_valued_1(X19))=k9_xtuple_0(X19)|(~v1_relat_1(X19)|~v1_funct_1(X19)|~v1_valued_0(X19)))&(k1_funct_1(k39_valued_1(X19),X20)=k1_square_1(k1_funct_1(X19,X20))|(~v1_relat_1(X19)|~v1_funct_1(X19)|~v1_valued_0(X19)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_valued_1])])])])).
fof(c_0_13, plain, ![X16]:(((v1_relat_1(k39_valued_1(X16))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16)|~v1_finseq_1(X16)))&(v1_funct_1(k39_valued_1(X16))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16)|~v1_finseq_1(X16))))&(v1_finseq_1(k39_valued_1(X16))|(~v1_relat_1(X16)|~v1_funct_1(X16)|~v1_valued_0(X16)|~v1_finseq_1(X16)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc80_valued_1])])])).
cnf(c_0_14, 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_8])).
cnf(c_0_15, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_16, 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_10])).
cnf(c_0_17, negated_conjecture, (v1_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_19, plain, (v1_relat_1(k39_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_20, negated_conjecture, (v1_valued_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_21, plain, (k9_xtuple_0(k39_valued_1(X1))=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_22, plain, (v1_finseq_1(k39_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_13])).
cnf(c_0_23, plain, (v1_funct_1(k39_valued_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_24, plain, ![X21, X22]:((k3_finseq_1(X21)!=k3_finseq_1(X22)|k1_relset_1(k4_ordinal1,X21)=k1_relset_1(k4_ordinal1,X22)|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v1_finseq_1(X22))|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_finseq_1(X21)))&(k1_relset_1(k4_ordinal1,X21)!=k1_relset_1(k4_ordinal1,X22)|k3_finseq_1(X21)=k3_finseq_1(X22)|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v1_finseq_1(X22))|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_finseq_1(X21)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_finseq_3])])])])).
cnf(c_0_25, negated_conjecture, (k1_relset_1(X1,esk1_0)=k9_xtuple_0(esk1_0)|~v4_relat_1(esk1_0,X1)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
cnf(c_0_26, negated_conjecture, (v4_relat_1(esk1_0,k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_15])])).
cnf(c_0_27, negated_conjecture, (v1_relat_1(k39_valued_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_18]), c_0_15])])).
cnf(c_0_28, negated_conjecture, (k9_xtuple_0(k39_valued_1(esk1_0))=k9_xtuple_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_20]), c_0_18]), c_0_15])])).
cnf(c_0_29, negated_conjecture, (v1_finseq_1(k39_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_22, c_0_20]), c_0_17]), c_0_18]), c_0_15])])).
cnf(c_0_30, negated_conjecture, (v1_funct_1(k39_valued_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_20]), c_0_18]), c_0_15])])).
cnf(c_0_31, 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_24])).
cnf(c_0_32, negated_conjecture, (k1_relset_1(k4_ordinal1,esk1_0)=k9_xtuple_0(esk1_0)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_33, negated_conjecture, (k1_relset_1(X1,k39_valued_1(esk1_0))=k9_xtuple_0(esk1_0)|~v4_relat_1(k39_valued_1(esk1_0),X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_27]), c_0_28])).
cnf(c_0_34, negated_conjecture, (v4_relat_1(k39_valued_1(esk1_0),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_29]), c_0_30]), c_0_27])])).
cnf(c_0_35, negated_conjecture, (k3_finseq_1(X1)=k3_finseq_1(esk1_0)|k1_relset_1(k4_ordinal1,X1)!=k9_xtuple_0(esk1_0)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_17]), c_0_18]), c_0_15])]), c_0_32])).
cnf(c_0_36, negated_conjecture, (k1_relset_1(k4_ordinal1,k39_valued_1(esk1_0))=k9_xtuple_0(esk1_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_37, negated_conjecture, (k3_finseq_1(k39_valued_1(esk1_0))!=k3_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_38, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_29]), c_0_36]), c_0_30]), c_0_27])]), c_0_37]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 39
# Proof object clause steps            : 24
# Proof object formula steps           : 15
# Proof object conjectures             : 20
# Proof object clause conjectures      : 17
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 29
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 16
# Processed clauses                    : 44
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 41
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 23
# ...of the previous two non-trivial   : 19
# Contextual simplify-reflections      : 0
# Paramodulations                      : 23
# 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  : 27
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 13
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 25
# Current number of archived formulas  : 0
# Current number of archived clauses   : 14
# Clause-clause subsumption calls (NU) : 44
# Rec. Clause-clause subsumption calls : 4
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 12
# 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          : 2259

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.002 s
# Total time               : 0.024 s
# Maximum resident set size: 2928 pages
