# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S060N
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k9_subset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(X1))=>k9_subset_1(X1,X2,X3)=k3_xboole_0(X2,X3)), file('number14/number14__t36_number14', redefinition_k9_subset_1)).
fof(ie4_fomodel0, axiom, ![X1, X2]:k3_xboole_0(X1,X2)=k12_fomodel0(X1,X2), file('number14/number14__t36_number14', ie4_fomodel0)).
fof(t4_subset, axiom, ![X1, X2, X3]:((r2_tarski(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)), file('number14/number14__t36_number14', t4_subset)).
fof(dt_k12_fomodel0, axiom, ![X1, X2]:m1_subset_1(k12_fomodel0(X1,X2),k1_zfmisc_1(X1)), file('number14/number14__t36_number14', dt_k12_fomodel0)).
fof(d11_number14, axiom, ![X1]:(v1_int_1(X1)=>k5_number14(X1)=k9_subset_1(k4_ordinal1,k2_number12(X1),k2_number09(np__4))), file('number14/number14__t36_number14', d11_number14)).
fof(dt_k2_number09, axiom, ![X1]:(v7_ordinal1(X1)=>m1_subset_1(k2_number09(X1),k1_zfmisc_1(k4_ordinal1))), file('number14/number14__t36_number14', dt_k2_number09)).
fof(cc1_subset_1, axiom, ![X1]:(v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v1_xboole_0(X2))), file('number14/number14__t36_number14', cc1_subset_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number14/number14__t36_number14', redefinition_r2_tarski)).
fof(t36_number14, conjecture, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r2_hidden(X2,k5_number14(X1))=>r1_int_1(X2,X1)))), file('number14/number14__t36_number14', t36_number14)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('number14/number14__t36_number14', t7_boole)).
fof(d3_number12, axiom, ![X1]:(v1_int_1(X1)=>k2_number12(X1)=a_1_0_number12(X1)), file('number14/number14__t36_number14', d3_number12)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('number14/number14__t36_number14', cc8_ordinal1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('number14/number14__t36_number14', t2_subset)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('number14/number14__t36_number14', spc4_numerals)).
fof(fraenkel_a_1_0_number12, axiom, ![X1, X2]:(v1_int_1(X2)=>(r2_hidden(X1,a_1_0_number12(X2))<=>?[X3]:(((v7_ordinal1(X3)&v1_int_2(X3))&X1=X3)&r1_int_1(X3,X2)))), file('number14/number14__t36_number14', fraenkel_a_1_0_number12)).
fof(c_0_15, plain, ![X47, X48, X49]:(~m1_subset_1(X49,k1_zfmisc_1(X47))|k9_subset_1(X47,X48,X49)=k3_xboole_0(X48,X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_subset_1])])).
fof(c_0_16, plain, ![X45, X46]:k3_xboole_0(X45,X46)=k12_fomodel0(X45,X46), inference(variable_rename,[status(thm)],[ie4_fomodel0])).
fof(c_0_17, plain, ![X54, X55, X56]:(~r2_tarski(X54,X55)|~m1_subset_1(X55,k1_zfmisc_1(X56))|m1_subset_1(X54,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
fof(c_0_18, plain, ![X38, X39]:m1_subset_1(k12_fomodel0(X38,X39),k1_zfmisc_1(X38)), inference(variable_rename,[status(thm)],[dt_k12_fomodel0])).
cnf(c_0_19, plain, (k9_subset_1(X2,X3,X1)=k3_xboole_0(X3,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_20, plain, (k3_xboole_0(X1,X2)=k12_fomodel0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_21, plain, ![X36]:(~v1_int_1(X36)|k5_number14(X36)=k9_subset_1(k4_ordinal1,k2_number12(X36),k2_number09(np__4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_number14])])).
cnf(c_0_22, plain, (m1_subset_1(X1,X3)|~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, plain, (m1_subset_1(k12_fomodel0(X1,X2),k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, plain, (k9_subset_1(X2,X3,X1)=k12_fomodel0(X3,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))), inference(rw,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_25, plain, (k5_number14(X1)=k9_subset_1(k4_ordinal1,k2_number12(X1),k2_number09(np__4))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_26, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,k12_fomodel0(X2,X3))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_27, plain, (k12_fomodel0(k2_number12(X1),k2_number09(np__4))=k5_number14(X1)|~m1_subset_1(k2_number09(np__4),k1_zfmisc_1(k4_ordinal1))|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
fof(c_0_28, plain, ![X40]:(~v7_ordinal1(X40)|m1_subset_1(k2_number09(X40),k1_zfmisc_1(k4_ordinal1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_number09])])).
fof(c_0_29, plain, ![X33, X34]:(~v1_xboole_0(X33)|(~m1_subset_1(X34,k1_zfmisc_1(X33))|v1_xboole_0(X34))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_subset_1])])])).
cnf(c_0_30, plain, (m1_subset_1(X1,k2_number12(X2))|~r2_tarski(X1,k5_number14(X2))|~m1_subset_1(k2_number09(np__4),k1_zfmisc_1(k4_ordinal1))|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_31, plain, (m1_subset_1(k2_number09(X1),k1_zfmisc_1(k4_ordinal1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_32, plain, ![X50, X51]:((~r2_tarski(X50,X51)|r2_hidden(X50,X51))&(~r2_hidden(X50,X51)|r2_tarski(X50,X51))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_33, negated_conjecture, ~(![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r2_hidden(X2,k5_number14(X1))=>r1_int_1(X2,X1))))), inference(assume_negation,[status(cth)],[t36_number14])).
cnf(c_0_34, plain, (v1_xboole_0(X2)|~v1_xboole_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_35, plain, (m1_subset_1(X1,k2_number12(X2))|~r2_tarski(X1,k5_number14(X2))|~v7_ordinal1(np__4)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_36, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_37, negated_conjecture, (v1_int_1(esk1_0)&(v1_int_1(esk2_0)&(r2_hidden(esk2_0,k5_number14(esk1_0))&~r1_int_1(esk2_0,esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
fof(c_0_38, plain, ![X57, X58]:(~r2_tarski(X57,X58)|~v1_xboole_0(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
cnf(c_0_39, plain, (v1_xboole_0(k12_fomodel0(X1,X2))|~v1_xboole_0(X1)), inference(spm,[status(thm)],[c_0_34, c_0_23])).
cnf(c_0_40, plain, (m1_subset_1(X1,k2_number12(X2))|~v7_ordinal1(np__4)|~r2_hidden(X1,k5_number14(X2))|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_35, c_0_36])).
cnf(c_0_41, negated_conjecture, (r2_hidden(esk2_0,k5_number14(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_42, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_43, plain, ![X37]:(~v1_int_1(X37)|k2_number12(X37)=a_1_0_number12(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_number12])])).
cnf(c_0_44, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_45, plain, (v1_xboole_0(k5_number14(X1))|~m1_subset_1(k2_number09(np__4),k1_zfmisc_1(k4_ordinal1))|~v1_xboole_0(k2_number12(X1))|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_27])).
cnf(c_0_46, negated_conjecture, (m1_subset_1(esk2_0,k2_number12(esk1_0))|~v7_ordinal1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
cnf(c_0_47, plain, (k2_number12(X1)=a_1_0_number12(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_48, plain, ![X35]:(~m1_subset_1(X35,k4_ordinal1)|v7_ordinal1(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_49, plain, (~v1_xboole_0(X1)|~r2_hidden(X2,X1)), inference(spm,[status(thm)],[c_0_44, c_0_36])).
cnf(c_0_50, plain, (v1_xboole_0(k5_number14(X1))|~v7_ordinal1(np__4)|~v1_xboole_0(k2_number12(X1))|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_45, c_0_31])).
fof(c_0_51, plain, ![X52, X53]:(~m1_subset_1(X52,X53)|(v1_xboole_0(X53)|r2_tarski(X52,X53))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_52, negated_conjecture, (m1_subset_1(esk2_0,a_1_0_number12(esk1_0))|~v7_ordinal1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_42])])).
cnf(c_0_53, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_54, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_55, negated_conjecture, (~v1_xboole_0(k5_number14(esk1_0))), inference(spm,[status(thm)],[c_0_49, c_0_41])).
cnf(c_0_56, plain, (v1_xboole_0(k5_number14(X1))|~v7_ordinal1(np__4)|~v1_xboole_0(a_1_0_number12(X1))|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_47])).
cnf(c_0_57, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_58, negated_conjecture, (m1_subset_1(esk2_0,a_1_0_number12(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])])).
cnf(c_0_59, negated_conjecture, (~v7_ordinal1(np__4)|~v1_xboole_0(a_1_0_number12(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_42])])).
cnf(c_0_60, negated_conjecture, (r2_tarski(esk2_0,a_1_0_number12(esk1_0))|v1_xboole_0(a_1_0_number12(esk1_0))), inference(spm,[status(thm)],[c_0_57, c_0_58])).
fof(c_0_61, plain, ![X41, X42, X44]:(((((v7_ordinal1(esk3_2(X41,X42))|~r2_hidden(X41,a_1_0_number12(X42))|~v1_int_1(X42))&(v1_int_2(esk3_2(X41,X42))|~r2_hidden(X41,a_1_0_number12(X42))|~v1_int_1(X42)))&(X41=esk3_2(X41,X42)|~r2_hidden(X41,a_1_0_number12(X42))|~v1_int_1(X42)))&(r1_int_1(esk3_2(X41,X42),X42)|~r2_hidden(X41,a_1_0_number12(X42))|~v1_int_1(X42)))&(~v7_ordinal1(X44)|~v1_int_2(X44)|X41!=X44|~r1_int_1(X44,X42)|r2_hidden(X41,a_1_0_number12(X42))|~v1_int_1(X42))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_1_0_number12])])])])])).
cnf(c_0_62, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_63, negated_conjecture, (r2_tarski(esk2_0,a_1_0_number12(esk1_0))|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_64, plain, (X1=esk3_2(X1,X2)|~r2_hidden(X1,a_1_0_number12(X2))|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_65, negated_conjecture, (r2_hidden(esk2_0,a_1_0_number12(esk1_0))|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_66, plain, (r1_int_1(esk3_2(X1,X2),X2)|~r2_hidden(X1,a_1_0_number12(X2))|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_67, negated_conjecture, (esk3_2(esk2_0,esk1_0)=esk2_0|~v7_ordinal1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_42])])).
cnf(c_0_68, negated_conjecture, (~r1_int_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_69, negated_conjecture, (~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_42])]), c_0_68]), c_0_65])).
cnf(c_0_70, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_53]), c_0_54])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 71
# Proof object clause steps            : 41
# Proof object formula steps           : 30
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 21
# Proof object simplifying inferences  : 17
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 24
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 23
# Processed clauses                    : 90
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 82
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 1
# Generated clauses                    : 69
# ...of the previous two non-trivial   : 61
# Contextual simplify-reflections      : 3
# Paramodulations                      : 68
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 57
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 47
# Current number of unprocessed clauses: 17
# ...number of literals in the above   : 61
# Current number of archived formulas  : 0
# Current number of archived clauses   : 25
# Clause-clause subsumption calls (NU) : 528
# Rec. Clause-clause subsumption calls : 349
# Non-unit clause-clause subsumptions  : 11
# Unit Clause-clause subsumption calls : 48
# 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          : 2757

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.003 s
# Total time               : 0.022 s
# Maximum resident set size: 3520 pages
