# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01BI
# and selection function PSelectMinOptimalNoXTypePred.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc5_card_3, axiom, ![X1]:((~(v1_finset_1(X1))&v4_card_3(X1))=>v5_card_3(X1)), file('classes5/classes5__t3_classes5', cc5_card_3)).
fof(cc7_card_3, axiom, ![X1]:(v4_card_3(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v4_card_3(X2))), file('classes5/classes5__t3_classes5', cc7_card_3)).
fof(dt_k3_fib_num2, axiom, m1_subset_1(k3_fib_num2,k1_zfmisc_1(k4_ordinal1)), file('classes5/classes5__t3_classes5', dt_k3_fib_num2)).
fof(d3_fib_num2, axiom, k3_fib_num2=a_0_0_fib_num2, file('classes5/classes5__t3_classes5', d3_fib_num2)).
fof(cc4_card_3, axiom, ![X1]:(v5_card_3(X1)=>(~(v1_finset_1(X1))&v4_card_3(X1))), file('classes5/classes5__t3_classes5', cc4_card_3)).
fof(t9_pythtrip, axiom, ![X1]:~((![X2]:(v7_ordinal1(X2)=>?[X3]:((v7_ordinal1(X3)&r1_xxreal_0(X2,X3))&r2_tarski(X3,X1)))&v1_finset_1(X1))), file('classes5/classes5__t3_classes5', t9_pythtrip)).
fof(t3_classes5, conjecture, v5_card_3(k3_fib_num2), file('classes5/classes5__t3_classes5', t3_classes5)).
fof(t3_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k3_xcmplx_0(np__1,X1)=X1), file('classes5/classes5__t3_classes5', t3_arithm)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('classes5/classes5__t3_classes5', cc1_xcmplx_0)).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1), file('classes5/classes5__t3_classes5', fc10_card_3)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('classes5/classes5__t3_classes5', cc8_ordinal1)).
fof(t4_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(r1_xxreal_0(X1,X2)=>r1_xxreal_0(k3_xcmplx_0(X1,X3),k3_xcmplx_0(X2,X3)))))), file('classes5/classes5__t3_classes5', t4_nat_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('classes5/classes5__t3_classes5', spc1_numerals)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('classes5/classes5__t3_classes5', spc2_numerals)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1,np__2), file('classes5/classes5__t3_classes5', rqLessOrEqual__r1_xxreal_0__r1_r2)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('classes5/classes5__t3_classes5', fc2_nat_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('classes5/classes5__t3_classes5', redefinition_r2_tarski)).
fof(fraenkel_a_0_0_fib_num2, axiom, ![X1]:(r2_hidden(X1,a_0_0_fib_num2)<=>?[X2]:(v7_ordinal1(X2)&X1=k3_xcmplx_0(np__2,X2))), file('classes5/classes5__t3_classes5', fraenkel_a_0_0_fib_num2)).
fof(c_0_18, plain, ![X1]:((~v1_finset_1(X1)&v4_card_3(X1))=>v5_card_3(X1)), inference(fof_simplification,[status(thm)],[cc5_card_3])).
fof(c_0_19, plain, ![X26, X27]:(~v4_card_3(X26)|(~m1_subset_1(X27,k1_zfmisc_1(X26))|v4_card_3(X27))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_card_3])])])).
cnf(c_0_20, plain, (m1_subset_1(k3_fib_num2,k1_zfmisc_1(k4_ordinal1))), inference(split_conjunct,[status(thm)],[dt_k3_fib_num2])).
cnf(c_0_21, plain, (k3_fib_num2=a_0_0_fib_num2), inference(split_conjunct,[status(thm)],[d3_fib_num2])).
fof(c_0_22, plain, ![X1]:(v5_card_3(X1)=>(~v1_finset_1(X1)&v4_card_3(X1))), inference(fof_simplification,[status(thm)],[cc4_card_3])).
fof(c_0_23, plain, ![X41, X43]:((v7_ordinal1(esk2_1(X41))|~v1_finset_1(X41))&(~v7_ordinal1(X43)|~r1_xxreal_0(esk2_1(X41),X43)|~r2_tarski(X43,X41)|~v1_finset_1(X41))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_pythtrip])])])])])).
fof(c_0_24, plain, ![X25]:(v1_finset_1(X25)|~v4_card_3(X25)|v5_card_3(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])).
cnf(c_0_25, plain, (v4_card_3(X2)|~v4_card_3(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (m1_subset_1(a_0_0_fib_num2,k1_zfmisc_1(k4_ordinal1))), inference(rw,[status(thm)],[c_0_20, c_0_21])).
fof(c_0_27, plain, ![X24]:((~v1_finset_1(X24)|~v5_card_3(X24))&(v4_card_3(X24)|~v5_card_3(X24))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_28, negated_conjecture, ~v5_card_3(k3_fib_num2), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t3_classes5])])).
fof(c_0_29, plain, ![X37]:(~v1_xcmplx_0(X37)|k3_xcmplx_0(np__1,X37)=X37), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_arithm])])).
fof(c_0_30, plain, ![X23]:(~v7_ordinal1(X23)|v1_xcmplx_0(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_31, plain, (v7_ordinal1(esk2_1(X1))|~v1_finset_1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_32, plain, (v1_finset_1(X1)|v5_card_3(X1)|~v4_card_3(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v4_card_3(a_0_0_fib_num2)|~v4_card_3(k4_ordinal1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_34, plain, (v4_card_3(X1)|~v5_card_3(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_35, plain, (v5_card_3(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc10_card_3])).
cnf(c_0_36, negated_conjecture, (~v5_card_3(k3_fib_num2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_37, plain, (k3_xcmplx_0(np__1,X1)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_38, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_39, plain, (v7_ordinal1(esk2_1(X1))|v5_card_3(X1)|~v4_card_3(X1)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_40, plain, (v4_card_3(a_0_0_fib_num2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])])).
cnf(c_0_41, negated_conjecture, (~v5_card_3(a_0_0_fib_num2)), inference(rw,[status(thm)],[c_0_36, c_0_21])).
fof(c_0_42, plain, ![X28]:(~m1_subset_1(X28,k4_ordinal1)|v7_ordinal1(X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_43, plain, ![X38, X39, X40]:(~v7_ordinal1(X38)|(~v7_ordinal1(X39)|(~v7_ordinal1(X40)|(~r1_xxreal_0(X38,X39)|r1_xxreal_0(k3_xcmplx_0(X38,X40),k3_xcmplx_0(X39,X40)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_nat_1])])])).
cnf(c_0_44, plain, (k3_xcmplx_0(np__1,X1)=X1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_45, plain, (v7_ordinal1(esk2_1(a_0_0_fib_num2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])).
cnf(c_0_46, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_47, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_48, plain, (r1_xxreal_0(k3_xcmplx_0(X1,X3),k3_xcmplx_0(X2,X3))|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~r1_xxreal_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_49, plain, (k3_xcmplx_0(np__1,esk2_1(a_0_0_fib_num2))=esk2_1(a_0_0_fib_num2)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_50, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_51, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_52, plain, (r1_xxreal_0(esk2_1(a_0_0_fib_num2),k3_xcmplx_0(X1,esk2_1(a_0_0_fib_num2)))|~r1_xxreal_0(np__1,X1)|~v7_ordinal1(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_45]), c_0_50])])).
cnf(c_0_53, plain, (r1_xxreal_0(np__1,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r2])).
cnf(c_0_54, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_46, c_0_51])).
cnf(c_0_55, plain, (~v7_ordinal1(X1)|~r1_xxreal_0(esk2_1(X2),X1)|~r2_tarski(X1,X2)|~v1_finset_1(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_56, plain, (r1_xxreal_0(esk2_1(a_0_0_fib_num2),k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])])).
cnf(c_0_57, plain, (~r2_tarski(k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)),a_0_0_fib_num2)|~v1_finset_1(a_0_0_fib_num2)|~v7_ordinal1(k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)))), inference(spm,[status(thm)],[c_0_55, c_0_56])).
fof(c_0_58, plain, ![X29, X30]:(~v7_ordinal1(X29)|~v7_ordinal1(X30)|v7_ordinal1(k3_xcmplx_0(X29,X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_59, plain, (~r2_tarski(k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)),a_0_0_fib_num2)|~v7_ordinal1(k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_32]), c_0_40])]), c_0_41])).
cnf(c_0_60, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
fof(c_0_61, plain, ![X35, X36]:((~r2_tarski(X35,X36)|r2_hidden(X35,X36))&(~r2_hidden(X35,X36)|r2_tarski(X35,X36))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_62, plain, ![X31, X33, X34]:(((v7_ordinal1(esk1_1(X31))|~r2_hidden(X31,a_0_0_fib_num2))&(X31=k3_xcmplx_0(np__2,esk1_1(X31))|~r2_hidden(X31,a_0_0_fib_num2)))&(~v7_ordinal1(X34)|X33!=k3_xcmplx_0(np__2,X34)|r2_hidden(X33,a_0_0_fib_num2))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_0_0_fib_num2])])])])])])).
cnf(c_0_63, plain, (~r2_tarski(k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)),a_0_0_fib_num2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_45]), c_0_54])])).
cnf(c_0_64, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_65, plain, (r2_hidden(X2,a_0_0_fib_num2)|~v7_ordinal1(X1)|X2!=k3_xcmplx_0(np__2,X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_66, plain, (~r2_hidden(k3_xcmplx_0(np__2,esk2_1(a_0_0_fib_num2)),a_0_0_fib_num2)), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_67, plain, (r2_hidden(k3_xcmplx_0(np__2,X1),a_0_0_fib_num2)|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_65])).
cnf(c_0_68, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_45])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 69
# Proof object clause steps            : 37
# Proof object formula steps           : 32
# Proof object conjectures             : 4
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 18
# Proof object generating inferences   : 15
# Proof object simplifying inferences  : 19
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 18
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 25
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 25
# Processed clauses                    : 80
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 80
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 88
# ...of the previous two non-trivial   : 69
# Contextual simplify-reflections      : 0
# Paramodulations                      : 87
# 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  : 52
#    Positive orientable unit clauses  : 19
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 30
# Current number of unprocessed clauses: 39
# ...number of literals in the above   : 99
# Current number of archived formulas  : 0
# Current number of archived clauses   : 27
# Clause-clause subsumption calls (NU) : 191
# Rec. Clause-clause subsumption calls : 115
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 18
# 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          : 2948

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.000 s
# Total time               : 0.030 s
# Maximum resident set size: 3528 pages
