# 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       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_r2_relset_1, axiom, ![X1, X2, X3, X4]:((m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_relset_1(X1,X2,X3,X4)<=>X3=X4)), file('relset_3/relset_3__t77_relset_3', redefinition_r2_relset_1)).
fof(dt_k1_relset_3, axiom, ![X1]:m1_subset_1(k1_relset_3(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1))), file('relset_3/relset_3__t77_relset_3', dt_k1_relset_3)).
fof(cc5_int_1, axiom, ![X1]:(v2_int_1(X1)=>v1_int_1(X1)), file('relset_3/relset_3__t77_relset_3', cc5_int_1)).
fof(t41_relset_3, axiom, ![X1]:(v6_membered(X1)=>r2_relset_1(X1,X1,k2_relset_3(X1,np__1),k1_relset_3(X1))), file('relset_3/relset_3__t77_relset_3', t41_relset_3)).
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('relset_3/relset_3__t77_relset_3', fc3_int_1)).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(np__1)), file('relset_3/relset_3__t77_relset_3', fc6_int_1)).
fof(dt_k2_relset_3, axiom, ![X1, X2]:((v1_membered(X1)&v1_xcmplx_0(X2))=>m1_subset_1(k2_relset_3(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), file('relset_3/relset_3__t77_relset_3', dt_k2_relset_3)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1, file('relset_3/relset_3__t77_relset_3', rqRealNeg__k4_xcmplx_0__rm1_r1)).
fof(d4_relset_3, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k4_relset_3(X1)=k2_xboole_0(k2_relset_3(X1,np__1),k1_tarski(k4_tarski(k6_xcmplx_0(X1,np__1),k5_numbers)))), file('relset_3/relset_3__t77_relset_3', d4_relset_3)).
fof(cc5_membered, axiom, ![X1]:(v3_membered(X1)=>v1_membered(X1)), file('relset_3/relset_3__t77_relset_3', cc5_membered)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('relset_3/relset_3__t77_relset_3', cc8_ordinal1)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('relset_3/relset_3__t77_relset_3', cc3_membered)).
fof(t77_relset_3, conjecture, k4_relset_3(np__4)=k2_enumset1(k4_tarski(k5_numbers,np__1),k4_tarski(np__1,np__2),k4_tarski(np__2,np__3),k4_tarski(np__3,k5_numbers)), file('relset_3/relset_3__t77_relset_3', t77_relset_3)).
fof(t6_enumset1, axiom, ![X1, X2, X3, X4]:k2_enumset1(X1,X2,X3,X4)=k2_xboole_0(k1_enumset1(X1,X2,X3),k1_tarski(X4)), file('relset_3/relset_3__t77_relset_3', t6_enumset1)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('relset_3/relset_3__t77_relset_3', cc2_membered)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('relset_3/relset_3__t77_relset_3', cc1_membered)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('relset_3/relset_3__t77_relset_3', cc4_nat_1)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('relset_3/relset_3__t77_relset_3', spc4_numerals)).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(np__4,np__1)=np__3, file('relset_3/relset_3__t77_relset_3', rqRealDiff__k6_xcmplx_0__r4_r1_r3)).
fof(t8_relset_3, axiom, k1_relset_3(np__4)=k1_enumset1(k4_tarski(k5_numbers,np__1),k4_tarski(np__1,np__2),k4_tarski(np__2,np__3)), file('relset_3/relset_3__t77_relset_3', t8_relset_3)).
fof(cc1_relset_3, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&v6_membered(X1))), file('relset_3/relset_3__t77_relset_3', cc1_relset_3)).
fof(c_0_21, plain, ![X40, X41, X42, X43]:((~r2_relset_1(X40,X41,X42,X43)|X42=X43|(~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(X40,X41)))|~m1_subset_1(X43,k1_zfmisc_1(k2_zfmisc_1(X40,X41)))))&(X42!=X43|r2_relset_1(X40,X41,X42,X43)|(~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(X40,X41)))|~m1_subset_1(X43,k1_zfmisc_1(k2_zfmisc_1(X40,X41)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_relset_1])])])).
fof(c_0_22, plain, ![X36]:m1_subset_1(k1_relset_3(X36),k1_zfmisc_1(k2_zfmisc_1(X36,X36))), inference(variable_rename,[status(thm)],[dt_k1_relset_3])).
fof(c_0_23, plain, ![X32]:(~v2_int_1(X32)|v1_int_1(X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_int_1])])).
cnf(c_0_24, plain, (X3=X4|~r2_relset_1(X1,X2,X3,X4)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_25, plain, (m1_subset_1(k1_relset_3(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_26, plain, ![X44]:(~v6_membered(X44)|r2_relset_1(X44,X44,k2_relset_3(X44,np__1),k1_relset_3(X44))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t41_relset_3])])).
fof(c_0_27, plain, ![X39]:((v1_xcmplx_0(k4_xcmplx_0(X39))|~v1_int_1(X39))&(v1_int_1(k4_xcmplx_0(X39))|~v1_int_1(X39))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_int_1])])])).
cnf(c_0_28, plain, (v1_int_1(X1)|~v2_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_29, plain, (v2_int_1(k4_xcmplx_0(np__1))), inference(split_conjunct,[status(thm)],[fc6_int_1])).
cnf(c_0_30, plain, (X1=k1_relset_3(X2)|~r2_relset_1(X2,X2,X1,k1_relset_3(X2))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_31, plain, (r2_relset_1(X1,X1,k2_relset_3(X1,np__1),k1_relset_3(X1))|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_32, plain, ![X37, X38]:(~v1_membered(X37)|~v1_xcmplx_0(X38)|m1_subset_1(k2_relset_3(X37,X38),k1_zfmisc_1(k2_zfmisc_1(X37,X37)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_relset_3])])).
cnf(c_0_33, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_34, 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_35, plain, (v1_int_1(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
fof(c_0_36, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k4_relset_3(X1)=k2_xboole_0(k2_relset_3(X1,np__1),k1_tarski(k4_tarski(k6_xcmplx_0(X1,np__1),k5_numbers)))), inference(fof_simplification,[status(thm)],[d4_relset_3])).
cnf(c_0_37, plain, (k2_relset_3(X1,np__1)=k1_relset_3(X1)|~m1_subset_1(k2_relset_3(X1,np__1),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_38, plain, (m1_subset_1(k2_relset_3(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~v1_membered(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_39, plain, (v1_xcmplx_0(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])])).
fof(c_0_40, plain, ![X33]:(~v3_membered(X33)|v1_membered(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_membered])])).
fof(c_0_41, plain, ![X35]:(~v7_ordinal1(X35)|v8_ordinal1(X35)|k4_relset_3(X35)=k2_xboole_0(k2_relset_3(X35,np__1),k1_tarski(k4_tarski(k6_xcmplx_0(X35,np__1),k5_numbers)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])).
fof(c_0_42, plain, ![X34]:(~m1_subset_1(X34,k4_ordinal1)|v7_ordinal1(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_43, plain, (k2_relset_3(X1,np__1)=k1_relset_3(X1)|~v1_membered(X1)|~v6_membered(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])).
cnf(c_0_44, plain, (v1_membered(X1)|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_45, plain, ![X30]:(~v4_membered(X30)|v3_membered(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
fof(c_0_46, negated_conjecture, k4_relset_3(np__4)!=k2_enumset1(k4_tarski(k5_numbers,np__1),k4_tarski(np__1,np__2),k4_tarski(np__2,np__3),k4_tarski(np__3,k5_numbers)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t77_relset_3])])).
fof(c_0_47, plain, ![X45, X46, X47, X48]:k2_enumset1(X45,X46,X47,X48)=k2_xboole_0(k1_enumset1(X45,X46,X47),k1_tarski(X48)), inference(variable_rename,[status(thm)],[t6_enumset1])).
cnf(c_0_48, plain, (v8_ordinal1(X1)|k4_relset_3(X1)=k2_xboole_0(k2_relset_3(X1,np__1),k1_tarski(k4_tarski(k6_xcmplx_0(X1,np__1),k5_numbers)))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_50, plain, (k2_relset_3(X1,np__1)=k1_relset_3(X1)|~v3_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_51, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_52, plain, ![X29]:(~v5_membered(X29)|v4_membered(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_53, plain, ![X27]:(~v6_membered(X27)|v5_membered(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
cnf(c_0_54, negated_conjecture, (k4_relset_3(np__4)!=k2_enumset1(k4_tarski(k5_numbers,np__1),k4_tarski(np__1,np__2),k4_tarski(np__2,np__3),k4_tarski(np__3,k5_numbers))), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_55, plain, (k2_enumset1(X1,X2,X3,X4)=k2_xboole_0(k1_enumset1(X1,X2,X3),k1_tarski(X4))), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_56, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
cnf(c_0_57, plain, (k2_xboole_0(k2_relset_3(X1,np__1),k1_tarski(k4_tarski(k6_xcmplx_0(X1,np__1),k5_numbers)))=k4_relset_3(X1)|v8_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_58, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_59, plain, (k6_xcmplx_0(np__4,np__1)=np__3), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r4_r1_r3])).
cnf(c_0_60, plain, (k2_relset_3(X1,np__1)=k1_relset_3(X1)|~v4_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_61, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_62, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_63, negated_conjecture, (k4_relset_3(np__4)!=k2_xboole_0(k1_enumset1(k4_tarski(k5_numbers,np__1),k4_tarski(np__1,np__2),k4_tarski(np__2,np__3)),k1_tarski(k4_tarski(np__3,k5_numbers)))), inference(rw,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_64, plain, (k1_relset_3(np__4)=k1_enumset1(k4_tarski(k5_numbers,np__1),k4_tarski(np__1,np__2),k4_tarski(np__2,np__3))), inference(split_conjunct,[status(thm)],[t8_relset_3])).
fof(c_0_65, plain, ![X31]:((v7_ordinal1(X31)|(~v7_ordinal1(X31)|~v8_ordinal1(X31)))&(~v2_xxreal_0(X31)|(~v7_ordinal1(X31)|~v8_ordinal1(X31)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
cnf(c_0_66, plain, (k2_xboole_0(k2_relset_3(np__4,np__1),k1_tarski(k4_tarski(np__3,k5_numbers)))=k4_relset_3(np__4)|v8_ordinal1(np__4)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])).
cnf(c_0_67, plain, (k2_relset_3(X1,np__1)=k1_relset_3(X1)|~v6_membered(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_62])).
cnf(c_0_68, negated_conjecture, (k2_xboole_0(k1_relset_3(np__4),k1_tarski(k4_tarski(np__3,k5_numbers)))!=k4_relset_3(np__4)), inference(rw,[status(thm)],[c_0_63, c_0_64])).
fof(c_0_69, plain, ![X28]:((v7_ordinal1(X28)|~v7_ordinal1(X28))&(v6_membered(X28)|~v7_ordinal1(X28))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_3])])])).
cnf(c_0_70, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_71, plain, (v8_ordinal1(np__4)|~v6_membered(np__4)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68])).
cnf(c_0_72, plain, (v2_xxreal_0(np__4)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_73, plain, (v6_membered(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_74, plain, (~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])]), c_0_73])).
cnf(c_0_75, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_49]), c_0_58])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 76
# Proof object clause steps            : 37
# Proof object formula steps           : 39
# Proof object conjectures             : 5
# Proof object clause conjectures      : 3
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 21
# Proof object generating inferences   : 13
# Proof object simplifying inferences  : 14
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 27
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 24
# Processed clauses                    : 65
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 65
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 1
# Generated clauses                    : 21
# ...of the previous two non-trivial   : 18
# Contextual simplify-reflections      : 2
# Paramodulations                      : 20
# 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  : 35
#    Positive orientable unit clauses  : 12
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 21
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 5
# Current number of archived formulas  : 0
# Current number of archived clauses   : 30
# Clause-clause subsumption calls (NU) : 264
# Rec. Clause-clause subsumption calls : 248
# Non-unit clause-clause subsumptions  : 6
# Unit Clause-clause subsumption calls : 24
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2211

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.000 s
# Total time               : 0.020 s
# Maximum resident set size: 3452 pages
