# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k5_card_1, axiom, ![X1]:(v7_ordinal1(X1)=>k5_card_1(X1)=k6_ordinal1(X1)), file('group_24/group_24__l84_group_24', redefinition_k5_card_1)).
fof(d17_ordinal1, axiom, ![X1]:k6_ordinal1(X1)=X1, file('group_24/group_24__l84_group_24', d17_ordinal1)).
fof(l84_group_24, conjecture, ![X1]:(((v7_ordinal1(X1)&~(v8_ordinal1(X1)))&v1_abian(X1))=>r2_tarski(np__1,k5_card_1(X1))), file('group_24/group_24__l84_group_24', l84_group_24)).
fof(t25_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>~(((r1_xxreal_0(X1,np__1)&X1!=k5_numbers)&X1!=np__1))), file('group_24/group_24__l84_group_24', t25_nat_1)).
fof(t44_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,k5_card_1(X2))<=>~(r1_xxreal_0(X2,X1))))), file('group_24/group_24__l84_group_24', t44_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__l84_group_24', cc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('group_24/group_24__l84_group_24', redefinition_k5_numbers)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('group_24/group_24__l84_group_24', spc1_numerals)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('group_24/group_24__l84_group_24', redefinition_r2_tarski)).
fof(cc5_int_1, axiom, ![X1]:(v2_int_1(X1)=>v1_int_1(X1)), file('group_24/group_24__l84_group_24', cc5_int_1)).
fof(fc21_newton03, axiom, ![X1]:((v1_int_1(X1)&~(v1_abian(X1)))=>(~(v1_abian(k4_xcmplx_0(X1)))&v1_xcmplx_0(k4_xcmplx_0(X1)))), file('group_24/group_24__l84_group_24', fc21_newton03)).
fof(fc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_int_1(k4_xcmplx_0(X1)))), file('group_24/group_24__l84_group_24', fc3_int_1)).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(np__1)), file('group_24/group_24__l84_group_24', fc6_int_1)).
fof(fc4_abian, axiom, ![X1]:((v1_int_1(X1)&v1_abian(X1))=>~(v1_abian(k6_xcmplx_0(X1,np__1)))), file('group_24/group_24__l84_group_24', fc4_abian)).
fof(fc1_abian, axiom, ![X1]:(v1_int_1(X1)=>v1_abian(k3_xcmplx_0(np__2,X1))), file('group_24/group_24__l84_group_24', fc1_abian)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1, file('group_24/group_24__l84_group_24', rqRealNeg__k4_xcmplx_0__rm1_r1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('group_24/group_24__l84_group_24', fc9_ordinal1)).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(np__2,np__1)=np__2, file('group_24/group_24__l84_group_24', rqRealMult__k3_xcmplx_0__r2_r1_r2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1),np__1)=k4_xcmplx_0(np__2), file('group_24/group_24__l84_group_24', rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(np__2))=np__2, file('group_24/group_24__l84_group_24', rqRealNeg__k4_xcmplx_0__rm2_r2)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('group_24/group_24__l84_group_24', cc2_int_1)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('group_24/group_24__l84_group_24', spc2_numerals)).
fof(c_0_22, plain, ![X27]:(~v7_ordinal1(X27)|k5_card_1(X27)=k6_ordinal1(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_card_1])])).
fof(c_0_23, plain, ![X22]:k6_ordinal1(X22)=X22, inference(variable_rename,[status(thm)],[d17_ordinal1])).
fof(c_0_24, negated_conjecture, ~(![X1]:(((v7_ordinal1(X1)&~v8_ordinal1(X1))&v1_abian(X1))=>r2_tarski(np__1,k5_card_1(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l84_group_24])])).
cnf(c_0_25, plain, (k5_card_1(X1)=k6_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_26, plain, (k6_ordinal1(X1)=X1), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_27, negated_conjecture, (((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&v1_abian(esk1_0))&~r2_tarski(np__1,k5_card_1(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_28, plain, ![X30]:(~v7_ordinal1(X30)|(~r1_xxreal_0(X30,np__1)|X30=k5_numbers|X30=np__1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_nat_1])])).
fof(c_0_29, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,k5_card_1(X2))<=>~r1_xxreal_0(X2,X1)))), inference(fof_simplification,[status(thm)],[t44_nat_1])).
fof(c_0_30, plain, ![X21]:(~m1_subset_1(X21,k4_ordinal1)|v7_ordinal1(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_31, plain, (X1=k5_card_1(X1)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_32, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, plain, (X1=k5_numbers|X1=np__1|~v7_ordinal1(X1)|~r1_xxreal_0(X1,np__1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_34, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_35, plain, ![X31, X32]:((~r2_hidden(X31,k5_card_1(X32))|~r1_xxreal_0(X32,X31)|~v7_ordinal1(X32)|~v7_ordinal1(X31))&(r1_xxreal_0(X32,X31)|r2_hidden(X31,k5_card_1(X32))|~v7_ordinal1(X32)|~v7_ordinal1(X31))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])).
cnf(c_0_36, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_37, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_38, negated_conjecture, (~r2_tarski(np__1,k5_card_1(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, negated_conjecture, (k5_card_1(esk1_0)=esk1_0), inference(spm,[status(thm)],[c_0_31, c_0_32])).
fof(c_0_40, plain, ![X28, X29]:((~r2_tarski(X28,X29)|r2_hidden(X28,X29))&(~r2_hidden(X28,X29)|r2_tarski(X28,X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_41, plain, ![X20]:(~v2_int_1(X20)|v1_int_1(X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_int_1])])).
fof(c_0_42, plain, ![X1]:((v1_int_1(X1)&~v1_abian(X1))=>(~v1_abian(k4_xcmplx_0(X1))&v1_xcmplx_0(k4_xcmplx_0(X1)))), inference(fof_simplification,[status(thm)],[fc21_newton03])).
cnf(c_0_43, plain, (X1=k5_ordinal1|X1=np__1|~r1_xxreal_0(X1,np__1)|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_44, plain, (r1_xxreal_0(X1,X2)|r2_hidden(X2,k5_card_1(X1))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_45, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_46, negated_conjecture, (~r2_tarski(np__1,esk1_0)), inference(rw,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_47, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_48, plain, ![X25]:((v1_xcmplx_0(k4_xcmplx_0(X25))|~v1_int_1(X25))&(v1_int_1(k4_xcmplx_0(X25))|~v1_int_1(X25))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_int_1])])])).
cnf(c_0_49, plain, (v1_int_1(X1)|~v2_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_50, plain, (v2_int_1(k4_xcmplx_0(np__1))), inference(split_conjunct,[status(thm)],[fc6_int_1])).
fof(c_0_51, plain, ![X1]:((v1_int_1(X1)&v1_abian(X1))=>~v1_abian(k6_xcmplx_0(X1,np__1))), inference(fof_simplification,[status(thm)],[fc4_abian])).
fof(c_0_52, plain, ![X24]:((~v1_abian(k4_xcmplx_0(X24))|(~v1_int_1(X24)|v1_abian(X24)))&(v1_xcmplx_0(k4_xcmplx_0(X24))|(~v1_int_1(X24)|v1_abian(X24)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
cnf(c_0_53, plain, (X1=k5_ordinal1|X1=np__1|r2_hidden(np__1,k5_card_1(X1))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])])).
cnf(c_0_54, negated_conjecture, (~r2_hidden(np__1,esk1_0)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
fof(c_0_55, plain, ![X23]:(~v1_int_1(X23)|v1_abian(k3_xcmplx_0(np__2,X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_abian])])).
cnf(c_0_56, plain, (v1_int_1(k4_xcmplx_0(X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_57, plain, (k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1), inference(split_conjunct,[status(thm)],[rqRealNeg__k4_xcmplx_0__rm1_r1])).
cnf(c_0_58, plain, (v1_int_1(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
fof(c_0_59, plain, ![X26]:(~v1_int_1(X26)|~v1_abian(X26)|~v1_abian(k6_xcmplx_0(X26,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])).
cnf(c_0_60, plain, (v1_abian(X1)|~v1_abian(k4_xcmplx_0(X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_61, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_62, negated_conjecture, (np__1=esk1_0|k5_ordinal1=esk1_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_39]), c_0_32])]), c_0_54])).
cnf(c_0_63, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_64, plain, (v1_abian(k3_xcmplx_0(np__2,X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_65, plain, (k3_xcmplx_0(np__2,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r2_r1_r2])).
cnf(c_0_66, plain, (v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])])).
cnf(c_0_67, plain, (~v1_int_1(X1)|~v1_abian(X1)|~v1_abian(k6_xcmplx_0(X1,np__1))), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_68, plain, (k6_xcmplx_0(k4_xcmplx_0(np__1),np__1)=k4_xcmplx_0(np__2)), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__rm1_r1_rm2])).
cnf(c_0_69, plain, (v1_abian(k4_xcmplx_0(np__1))|~v1_abian(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_57]), c_0_58])])).
cnf(c_0_70, negated_conjecture, (np__1=esk1_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])).
cnf(c_0_71, negated_conjecture, (v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_72, plain, (k4_xcmplx_0(k4_xcmplx_0(np__2))=np__2), inference(split_conjunct,[status(thm)],[rqRealNeg__k4_xcmplx_0__rm2_r2])).
cnf(c_0_73, plain, (v1_abian(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66])])).
cnf(c_0_74, plain, (~v1_abian(k4_xcmplx_0(np__2))|~v1_abian(k4_xcmplx_0(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_58])])).
cnf(c_0_75, plain, (v1_abian(k4_xcmplx_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70]), c_0_70]), c_0_71])])).
cnf(c_0_76, plain, (v1_abian(k4_xcmplx_0(np__2))|~v1_int_1(k4_xcmplx_0(np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_72]), c_0_73])])).
cnf(c_0_77, plain, (~v1_abian(k4_xcmplx_0(np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_70]), c_0_75])])).
fof(c_0_78, plain, ![X19]:(~v7_ordinal1(X19)|v1_int_1(X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_79, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_80, plain, (~v1_int_1(np__2)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_56]), c_0_77])).
cnf(c_0_81, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_82, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_36, c_0_79])).
cnf(c_0_83, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 84
# Proof object clause steps            : 45
# Proof object formula steps           : 39
# Proof object conjectures             : 12
# Proof object clause conjectures      : 9
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 15
# Proof object simplifying inferences  : 29
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 31
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 30
# Processed clauses                    : 110
# ...of these trivial                  : 0
# ...subsumed                          : 7
# ...remaining for further processing  : 103
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 22
# Generated clauses                    : 53
# ...of the previous two non-trivial   : 56
# Contextual simplify-reflections      : 0
# Paramodulations                      : 49
# Factorizations                       : 4
# 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  : 50
#    Positive orientable unit clauses  : 23
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 22
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 2
# Current number of archived formulas  : 0
# Current number of archived clauses   : 54
# Clause-clause subsumption calls (NU) : 108
# Rec. Clause-clause subsumption calls : 59
# Non-unit clause-clause subsumptions  : 5
# Unit Clause-clause subsumption calls : 22
# 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          : 2312

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.002 s
# Total time               : 0.025 s
# Maximum resident set size: 3488 pages
