# 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       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k12_fomodel0, axiom, ![X1, X2]:m1_subset_1(k12_fomodel0(X1,X2),k1_zfmisc_1(X1)), file('number14/number14__t35_number14', dt_k12_fomodel0)).
fof(ie4_fomodel0, axiom, ![X1, X2]:k3_xboole_0(X1,X2)=k12_fomodel0(X1,X2), file('number14/number14__t35_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__t35_number14', t4_subset)).
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__t35_number14', redefinition_k9_subset_1)).
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__t35_number14', d11_number14)).
fof(commutativity_k3_xboole_0, axiom, ![X1, X2]:k3_xboole_0(X1,X2)=k3_xboole_0(X2,X1), file('number14/number14__t35_number14', commutativity_k3_xboole_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('number14/number14__t35_number14', cc8_ordinal1)).
fof(t35_number14, conjecture, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>~((r2_hidden(X2,k5_number14(X1))&r1_xxreal_0(X2,np__3))))), file('number14/number14__t35_number14', t35_number14)).
fof(dt_k2_number09, axiom, ![X1]:(v7_ordinal1(X1)=>m1_subset_1(k2_number09(X1),k1_zfmisc_1(k4_ordinal1))), file('number14/number14__t35_number14', dt_k2_number09)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('number14/number14__t35_number14', spc4_numerals)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number14/number14__t35_number14', redefinition_r2_tarski)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('number14/number14__t35_number14', t2_subset)).
fof(fc6_number09, axiom, ![X1]:(v7_ordinal1(X1)=>~(v1_finset_1(k2_number09(X1)))), file('number14/number14__t35_number14', fc6_number09)).
fof(cc1_finset_1, axiom, ![X1]:(v1_xboole_0(X1)=>v1_finset_1(X1)), file('number14/number14__t35_number14', cc1_finset_1)).
fof(t13_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(~(r1_xxreal_0(k1_nat_1(X2,np__1),X1))<=>r1_xxreal_0(X1,X2)))), file('number14/number14__t35_number14', t13_nat_1)).
fof(redefinition_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)), file('number14/number14__t35_number14', redefinition_k1_nat_1)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('number14/number14__t35_number14', spc3_numerals)).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(np__3,np__1)=np__4, file('number14/number14__t35_number14', rqRealAdd__k2_xcmplx_0__r3_r1_r4)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('number14/number14__t35_number14', spc1_numerals)).
fof(t56_number09, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_tarski(X1,k2_number09(X2))<=>r1_xxreal_0(X2,X1)))), file('number14/number14__t35_number14', t56_number09)).
fof(c_0_20, plain, ![X40, X41]:m1_subset_1(k12_fomodel0(X40,X41),k1_zfmisc_1(X40)), inference(variable_rename,[status(thm)],[dt_k12_fomodel0])).
fof(c_0_21, plain, ![X44, X45]:k3_xboole_0(X44,X45)=k12_fomodel0(X44,X45), inference(variable_rename,[status(thm)],[ie4_fomodel0])).
fof(c_0_22, plain, ![X57, X58, X59]:(~r2_tarski(X57,X58)|~m1_subset_1(X58,k1_zfmisc_1(X59))|m1_subset_1(X57,X59)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
cnf(c_0_23, plain, (m1_subset_1(k12_fomodel0(X1,X2),k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_24, plain, (k3_xboole_0(X1,X2)=k12_fomodel0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_25, plain, ![X48, X49, X50]:(~m1_subset_1(X50,k1_zfmisc_1(X48))|k9_subset_1(X48,X49,X50)=k3_xboole_0(X49,X50)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_subset_1])])).
fof(c_0_26, plain, ![X39]:(~v1_int_1(X39)|k5_number14(X39)=k9_subset_1(k4_ordinal1,k2_number12(X39),k2_number09(np__4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_number14])])).
fof(c_0_27, plain, ![X37, X38]:k3_xboole_0(X37,X38)=k3_xboole_0(X38,X37), inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0])).
cnf(c_0_28, 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_22])).
cnf(c_0_29, plain, (m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X1))), inference(rw,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_30, 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_25])).
cnf(c_0_31, 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_26])).
cnf(c_0_32, plain, (k3_xboole_0(X1,X2)=k3_xboole_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_33, plain, ![X36]:(~m1_subset_1(X36,k4_ordinal1)|v7_ordinal1(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_34, negated_conjecture, ~(![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>~((r2_hidden(X2,k5_number14(X1))&r1_xxreal_0(X2,np__3)))))), inference(assume_negation,[status(cth)],[t35_number14])).
cnf(c_0_35, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,k3_xboole_0(X2,X3))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_36, plain, (k3_xboole_0(k2_number09(np__4),k2_number12(X1))=k5_number14(X1)|~m1_subset_1(k2_number09(np__4),k1_zfmisc_1(k4_ordinal1))|~v1_int_1(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])).
fof(c_0_37, plain, ![X42]:(~v7_ordinal1(X42)|m1_subset_1(k2_number09(X42),k1_zfmisc_1(k4_ordinal1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_number09])])).
cnf(c_0_38, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_39, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
fof(c_0_40, plain, ![X51, X52]:((~r2_tarski(X51,X52)|r2_hidden(X51,X52))&(~r2_hidden(X51,X52)|r2_tarski(X51,X52))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_41, negated_conjecture, (v1_int_1(esk1_0)&(v1_int_1(esk2_0)&(r2_hidden(esk2_0,k5_number14(esk1_0))&r1_xxreal_0(esk2_0,np__3)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
cnf(c_0_42, plain, (m1_subset_1(X1,k2_number09(np__4))|~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_35, c_0_36])).
cnf(c_0_43, plain, (m1_subset_1(k2_number09(X1),k1_zfmisc_1(k4_ordinal1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_44, plain, (v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_45, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_46, negated_conjecture, (r2_hidden(esk2_0,k5_number14(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_47, plain, ![X55, X56]:(~m1_subset_1(X55,X56)|(v1_xboole_0(X56)|r2_tarski(X55,X56))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_48, plain, (m1_subset_1(X1,k2_number09(np__4))|~r2_tarski(X1,k5_number14(X2))|~v1_int_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])])).
cnf(c_0_49, negated_conjecture, (r2_tarski(esk2_0,k5_number14(esk1_0))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_50, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_51, plain, ![X1]:(v7_ordinal1(X1)=>~v1_finset_1(k2_number09(X1))), inference(fof_simplification,[status(thm)],[fc6_number09])).
fof(c_0_52, plain, ![X35]:(~v1_xboole_0(X35)|v1_finset_1(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])])).
cnf(c_0_53, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_54, negated_conjecture, (m1_subset_1(esk2_0,k2_number09(np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])])).
fof(c_0_55, plain, ![X43]:(~v7_ordinal1(X43)|~v1_finset_1(k2_number09(X43))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])).
cnf(c_0_56, plain, (v1_finset_1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_57, negated_conjecture, (r2_tarski(esk2_0,k2_number09(np__4))|v1_xboole_0(k2_number09(np__4))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_58, plain, (~v7_ordinal1(X1)|~v1_finset_1(k2_number09(X1))), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_59, negated_conjecture, (r2_tarski(esk2_0,k2_number09(np__4))|v1_finset_1(k2_number09(np__4))), inference(spm,[status(thm)],[c_0_56, c_0_57])).
fof(c_0_60, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(~r1_xxreal_0(k1_nat_1(X2,np__1),X1)<=>r1_xxreal_0(X1,X2)))), inference(fof_simplification,[status(thm)],[t13_nat_1])).
fof(c_0_61, plain, ![X46, X47]:(~v7_ordinal1(X46)|~m1_subset_1(X47,k4_ordinal1)|k1_nat_1(X46,X47)=k2_xcmplx_0(X46,X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
cnf(c_0_62, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
cnf(c_0_63, plain, (m1_subset_1(X1,k4_ordinal1)|~r2_tarski(X1,k2_number09(X2))|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_28, c_0_43])).
cnf(c_0_64, negated_conjecture, (r2_tarski(esk2_0,k2_number09(np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_44])])).
fof(c_0_65, plain, ![X53, X54]:((r1_xxreal_0(k1_nat_1(X54,np__1),X53)|r1_xxreal_0(X53,X54)|~v7_ordinal1(X54)|~v7_ordinal1(X53))&(~r1_xxreal_0(X53,X54)|~r1_xxreal_0(k1_nat_1(X54,np__1),X53)|~v7_ordinal1(X54)|~v7_ordinal1(X53))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])).
cnf(c_0_66, plain, (k2_xcmplx_0(np__3,np__1)=np__4), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r3_r1_r4])).
cnf(c_0_67, plain, (k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_68, plain, (v7_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_38, c_0_62])).
cnf(c_0_69, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_70, plain, ![X60, X61]:((~r2_tarski(X60,k2_number09(X61))|r1_xxreal_0(X61,X60)|~v7_ordinal1(X61)|~v7_ordinal1(X60))&(~r1_xxreal_0(X61,X60)|r2_tarski(X60,k2_number09(X61))|~v7_ordinal1(X61)|~v7_ordinal1(X60))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t56_number09])])])])).
cnf(c_0_71, negated_conjecture, (m1_subset_1(esk2_0,k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_44])])).
cnf(c_0_72, plain, (~r1_xxreal_0(X1,X2)|~r1_xxreal_0(k1_nat_1(X2,np__1),X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_73, plain, (k1_nat_1(np__3,np__1)=np__4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68]), c_0_69])])).
cnf(c_0_74, plain, (r1_xxreal_0(X2,X1)|~r2_tarski(X1,k2_number09(X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_75, negated_conjecture, (v7_ordinal1(esk2_0)), inference(spm,[status(thm)],[c_0_38, c_0_71])).
cnf(c_0_76, plain, (~v7_ordinal1(X1)|~r1_xxreal_0(np__4,X1)|~r1_xxreal_0(X1,np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_68])])).
cnf(c_0_77, negated_conjecture, (r1_xxreal_0(np__4,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_64]), c_0_44])]), c_0_75])])).
cnf(c_0_78, negated_conjecture, (r1_xxreal_0(esk2_0,np__3)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_79, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_75]), c_0_78])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 80
# Proof object clause steps            : 41
# Proof object formula steps           : 39
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 20
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 22
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 20
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 28
# Processed clauses                    : 113
# ...of these trivial                  : 1
# ...subsumed                          : 8
# ...remaining for further processing  : 104
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 2
# Generated clauses                    : 95
# ...of the previous two non-trivial   : 70
# Contextual simplify-reflections      : 0
# Paramodulations                      : 95
# 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  : 73
#    Positive orientable unit clauses  : 23
#    Positive unorientable unit clauses: 1
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 49
# Current number of unprocessed clauses: 13
# ...number of literals in the above   : 40
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 272
# Rec. Clause-clause subsumption calls : 223
# Non-unit clause-clause subsumptions  : 9
# Unit Clause-clause subsumption calls : 5
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3167

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.002 s
# Total time               : 0.024 s
# Maximum resident set size: 3420 pages
