# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc5_fomodel0, axiom, ![X1, X2]:(~(v1_xboole_0(X2))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v1_funct_2(X3,X1,X2)=>v1_partfun1(X3,X1)))), file('number15/number15__t86_number15', cc5_fomodel0)).
fof(fc12_subset_1, axiom, ![X1, X2, X3, X4]:((((~(v1_xboole_0(X1))&~(v1_xboole_0(X2)))&~(v1_xboole_0(X3)))&~(v1_xboole_0(X4)))=>~(v1_xboole_0(k4_zfmisc_1(X1,X2,X3,X4)))), file('number15/number15__t86_number15', fc12_subset_1)).
fof(dt_k13_number15, axiom, ((v1_funct_1(k13_number15)&v1_funct_2(k13_number15,k4_ordinal1,k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers)))&m1_subset_1(k13_number15,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers))))), file('number15/number15__t86_number15', dt_k13_number15)).
fof(fc4_numbers, axiom, ~(v1_xboole_0(k4_numbers)), file('number15/number15__t86_number15', fc4_numbers)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('number15/number15__t86_number15', cc2_relset_1)).
fof(cc2_relat_1, axiom, ![X1]:(v1_relat_1(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v1_relat_1(X2))), file('number15/number15__t86_number15', cc2_relat_1)).
fof(fc6_relat_1, axiom, ![X1, X2]:v1_relat_1(k2_zfmisc_1(X1,X2)), file('number15/number15__t86_number15', fc6_relat_1)).
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__t86_number15', redefinition_k1_relset_1)).
fof(d2_partfun1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>(v1_partfun1(X2,X1)<=>k1_relset_1(X1,X2)=X1)), file('number15/number15__t86_number15', d2_partfun1)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('number15/number15__t86_number15', t3_subset)).
fof(cc2_finset_1, axiom, ![X1]:(v1_finset_1(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v1_finset_1(X2))), file('number15/number15__t86_number15', cc2_finset_1)).
fof(t85_number15, axiom, r1_tarski(k2_relset_1(k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers),k13_number15),a_0_4_number15), file('number15/number15__t86_number15', t85_number15)).
fof(t86_number15, conjecture, ~(v1_finset_1(a_0_4_number15)), file('number15/number15__t86_number15', t86_number15)).
fof(redefinition_k2_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>k2_relset_1(X1,X2)=k10_xtuple_0(X2)), file('number15/number15__t86_number15', redefinition_k2_relset_1)).
fof(t59_card_1, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>~(((~(v1_finset_1(k9_xtuple_0(X1)))&v2_funct_1(X1))&v1_finset_1(k10_xtuple_0(X1))))), file('number15/number15__t86_number15', t59_card_1)).
fof(fc9_card_1, axiom, ~(v1_finset_1(k4_ordinal1)), file('number15/number15__t86_number15', fc9_card_1)).
fof(fc60_number15, axiom, ((v1_funct_1(k13_number15)&v2_funct_1(k13_number15))&v1_funct_2(k13_number15,k4_ordinal1,k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers))), file('number15/number15__t86_number15', fc60_number15)).
fof(c_0_17, plain, ![X1, X2]:(~v1_xboole_0(X2)=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v1_funct_2(X3,X1,X2)=>v1_partfun1(X3,X1)))), inference(fof_simplification,[status(thm)],[cc5_fomodel0])).
fof(c_0_18, plain, ![X1, X2, X3, X4]:((((~v1_xboole_0(X1)&~v1_xboole_0(X2))&~v1_xboole_0(X3))&~v1_xboole_0(X4))=>~v1_xboole_0(k4_zfmisc_1(X1,X2,X3,X4))), inference(fof_simplification,[status(thm)],[fc12_subset_1])).
fof(c_0_19, plain, ![X37, X38, X39]:(v1_xboole_0(X38)|(~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(X37,X38)))|(~v1_funct_2(X39,X37,X38)|v1_partfun1(X39,X37)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_20, plain, ![X42, X43, X44, X45]:(v1_xboole_0(X42)|v1_xboole_0(X43)|v1_xboole_0(X44)|v1_xboole_0(X45)|~v1_xboole_0(k4_zfmisc_1(X42,X43,X44,X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])).
cnf(c_0_21, plain, (v1_xboole_0(X1)|v1_partfun1(X2,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))|~v1_funct_2(X2,X3,X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_22, plain, (m1_subset_1(k13_number15,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers))))), inference(split_conjunct,[status(thm)],[dt_k13_number15])).
cnf(c_0_23, plain, (v1_funct_2(k13_number15,k4_ordinal1,k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers))), inference(split_conjunct,[status(thm)],[dt_k13_number15])).
fof(c_0_24, plain, ~v1_xboole_0(k4_numbers), inference(fof_simplification,[status(thm)],[fc4_numbers])).
fof(c_0_25, plain, ![X34, X35, X36]:((v4_relat_1(X36,X34)|~m1_subset_1(X36,k1_zfmisc_1(k2_zfmisc_1(X34,X35))))&(v5_relat_1(X36,X35)|~m1_subset_1(X36,k1_zfmisc_1(k2_zfmisc_1(X34,X35))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
fof(c_0_26, plain, ![X32, X33]:(~v1_relat_1(X32)|(~m1_subset_1(X33,k1_zfmisc_1(X32))|v1_relat_1(X33))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relat_1])])])).
fof(c_0_27, plain, ![X46, X47]:v1_relat_1(k2_zfmisc_1(X46,X47)), inference(variable_rename,[status(thm)],[fc6_relat_1])).
fof(c_0_28, plain, ![X48, X49]:(~v1_relat_1(X49)|~v4_relat_1(X49,X48)|k1_relset_1(X48,X49)=k9_xtuple_0(X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_29, plain, ![X40, X41]:((~v1_partfun1(X41,X40)|k1_relset_1(X40,X41)=X40|(~v1_relat_1(X41)|~v4_relat_1(X41,X40)))&(k1_relset_1(X40,X41)!=X40|v1_partfun1(X41,X40)|(~v1_relat_1(X41)|~v4_relat_1(X41,X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_partfun1])])])).
cnf(c_0_30, plain, (v1_xboole_0(X1)|v1_xboole_0(X2)|v1_xboole_0(X3)|v1_xboole_0(X4)|~v1_xboole_0(k4_zfmisc_1(X1,X2,X3,X4))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_31, plain, (v1_partfun1(k13_number15,k4_ordinal1)|v1_xboole_0(k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])])).
cnf(c_0_32, plain, (~v1_xboole_0(k4_numbers)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_34, plain, (v1_relat_1(X2)|~v1_relat_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_35, plain, (v1_relat_1(k2_zfmisc_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_36, plain, ![X52, X53]:((~m1_subset_1(X52,k1_zfmisc_1(X53))|r1_tarski(X52,X53))&(~r1_tarski(X52,X53)|m1_subset_1(X52,k1_zfmisc_1(X53)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
cnf(c_0_37, 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_28])).
cnf(c_0_38, plain, (k1_relset_1(X2,X1)=X2|~v1_partfun1(X1,X2)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (v1_partfun1(k13_number15,k4_ordinal1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])).
cnf(c_0_40, plain, (v4_relat_1(k13_number15,k4_ordinal1)), inference(spm,[status(thm)],[c_0_33, c_0_22])).
cnf(c_0_41, plain, (v1_relat_1(k13_number15)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_22]), c_0_35])])).
fof(c_0_42, plain, ![X30, X31]:(~v1_finset_1(X30)|(~m1_subset_1(X31,k1_zfmisc_1(X30))|v1_finset_1(X31))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])])).
cnf(c_0_43, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_44, plain, (r1_tarski(k2_relset_1(k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers),k13_number15),a_0_4_number15)), inference(split_conjunct,[status(thm)],[t85_number15])).
fof(c_0_45, negated_conjecture, v1_finset_1(a_0_4_number15), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t86_number15])])).
fof(c_0_46, plain, ![X50, X51]:(~v1_relat_1(X51)|~v5_relat_1(X51,X50)|k2_relset_1(X50,X51)=k10_xtuple_0(X51)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_relset_1])])).
cnf(c_0_47, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_48, plain, (k1_relset_1(X1,X2)=k1_relset_1(X3,X2)|~v4_relat_1(X2,X1)|~v4_relat_1(X2,X3)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_37, c_0_37])).
cnf(c_0_49, plain, (k1_relset_1(k4_ordinal1,k13_number15)=k4_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40]), c_0_41])])).
fof(c_0_50, plain, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>~(((~v1_finset_1(k9_xtuple_0(X1))&v2_funct_1(X1))&v1_finset_1(k10_xtuple_0(X1))))), inference(fof_simplification,[status(thm)],[t59_card_1])).
cnf(c_0_51, plain, (v1_finset_1(X2)|~v1_finset_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_52, plain, (m1_subset_1(k2_relset_1(k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers),k13_number15),k1_zfmisc_1(a_0_4_number15))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_53, negated_conjecture, (v1_finset_1(a_0_4_number15)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_54, plain, (k2_relset_1(X2,X1)=k10_xtuple_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_55, plain, (v5_relat_1(k13_number15,k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers))), inference(spm,[status(thm)],[c_0_47, c_0_22])).
cnf(c_0_56, plain, (k1_relset_1(X1,k13_number15)=k4_ordinal1|~v4_relat_1(k13_number15,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_40]), c_0_41])])).
fof(c_0_57, plain, ![X54]:(~v1_relat_1(X54)|~v1_funct_1(X54)|(v1_finset_1(k9_xtuple_0(X54))|~v2_funct_1(X54)|~v1_finset_1(k10_xtuple_0(X54)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])).
cnf(c_0_58, plain, (v1_finset_1(k2_relset_1(k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers),k13_number15))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])])).
cnf(c_0_59, plain, (k2_relset_1(k4_zfmisc_1(k4_numbers,k4_numbers,k4_numbers,k4_numbers),k13_number15)=k10_xtuple_0(k13_number15)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_41])])).
cnf(c_0_60, plain, (k9_xtuple_0(k13_number15)=k4_ordinal1|~v4_relat_1(k13_number15,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_56]), c_0_41])])).
fof(c_0_61, plain, ~v1_finset_1(k4_ordinal1), inference(fof_simplification,[status(thm)],[fc9_card_1])).
cnf(c_0_62, plain, (v1_finset_1(k9_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_funct_1(X1)|~v1_finset_1(k10_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_63, plain, (v1_finset_1(k10_xtuple_0(k13_number15))), inference(rw,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_64, plain, (k9_xtuple_0(k13_number15)=k4_ordinal1), inference(spm,[status(thm)],[c_0_60, c_0_40])).
cnf(c_0_65, plain, (v2_funct_1(k13_number15)), inference(split_conjunct,[status(thm)],[fc60_number15])).
cnf(c_0_66, plain, (v1_funct_1(k13_number15)), inference(split_conjunct,[status(thm)],[dt_k13_number15])).
cnf(c_0_67, plain, (~v1_finset_1(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_68, plain, ($false), inference(sr,[status(thm)],[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_62, c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_41])]), c_0_67]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 69
# Proof object clause steps            : 35
# Proof object formula steps           : 34
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 24
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 24
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 24
# Processed clauses                    : 69
# ...of these trivial                  : 2
# ...subsumed                          : 7
# ...remaining for further processing  : 60
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 6
# Generated clauses                    : 28
# ...of the previous two non-trivial   : 29
# Contextual simplify-reflections      : 0
# Paramodulations                      : 28
# 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  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 16
# Current number of unprocessed clauses: 6
# ...number of literals in the above   : 19
# Current number of archived formulas  : 0
# Current number of archived clauses   : 28
# Clause-clause subsumption calls (NU) : 57
# Rec. Clause-clause subsumption calls : 27
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 4
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2393

# -------------------------------------------------
# User time                : 0.016 s
# System time              : 0.005 s
# Total time               : 0.021 s
# Maximum resident set size: 3432 pages
