# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc10_membered, axiom, ![X1]:(v5_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_int_1(X2))), file('number15/number15__t79_number15', cc10_membered)).
fof(t79_number15, conjecture, ![X1]:(v7_ordinal1(X1)=>~(((v1_abian(X1)&~(r2_int_1(X1,k5_numbers,np__4)))&~(r2_int_1(X1,np__2,np__4))))), file('number15/number15__t79_number15', t79_number15)).
fof(cc19_fomodel0, axiom, ![X1]:((v1_int_1(X1)&v2_xxreal_0(X1))=>(v7_ordinal1(X1)&v1_int_1(X1))), file('number15/number15__t79_number15', cc19_fomodel0)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('number15/number15__t79_number15', spc4_numerals)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('number15/number15__t79_number15', cc1_membered)).
fof(t78_number15, axiom, ![X1]:(v7_ordinal1(X1)=>~(((v1_abian(X1)&k4_nat_d(X1,np__4)!=k5_numbers)&k4_nat_d(X1,np__4)!=np__2))), file('number15/number15__t79_number15', t78_number15)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('number15/number15__t79_number15', fc6_membered)).
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('number15/number15__t79_number15', t6_boole)).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0, file('number15/number15__t79_number15', d13_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('number15/number15__t79_number15', redefinition_k5_numbers)).
fof(redefinition_k4_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k4_nat_d(X1,X2)=k5_int_1(X1,X2)), file('number15/number15__t79_number15', redefinition_k4_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('number15/number15__t79_number15', cc2_int_1)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('number15/number15__t79_number15', fc8_ordinal1)).
fof(spc0_boole, axiom, v1_xboole_0(np__0), file('number15/number15__t79_number15', spc0_boole)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('number15/number15__t79_number15', spc2_numerals)).
fof(t64_nat_d, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>((k5_int_1(X2,X1)=k5_int_1(X3,X1)=>(X1=k5_numbers|r2_int_1(X2,X3,X1)))&(r2_int_1(X2,X3,X1)=>k5_int_1(X2,X1)=k5_int_1(X3,X1)))))), file('number15/number15__t79_number15', t64_nat_d)).
fof(rd5_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(X1,X2)), file('number15/number15__t79_number15', rd5_newton02)).
fof(rd7_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers), file('number15/number15__t79_number15', rd7_newton02)).
fof(rqRealMult__k3_xcmplx_0__r0_r4_r0, axiom, k3_xcmplx_0(np__0,np__4)=np__0, file('number15/number15__t79_number15', rqRealMult__k3_xcmplx_0__r0_r4_r0)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(np__0,np__0)=np__0, file('number15/number15__t79_number15', rqRealAdd__k2_xcmplx_0__r0_r0_r0)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('number15/number15__t79_number15', fc1_xboole_0)).
fof(spc4_boole, axiom, ~(v1_xboole_0(np__4)), file('number15/number15__t79_number15', spc4_boole)).
fof(c_0_22, plain, ![X22, X23]:(~v5_membered(X22)|(~m1_subset_1(X23,X22)|v1_int_1(X23))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_membered])])])).
fof(c_0_23, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>~(((v1_abian(X1)&~r2_int_1(X1,k5_numbers,np__4))&~r2_int_1(X1,np__2,np__4))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t79_number15])])).
fof(c_0_24, plain, ![X24]:((v7_ordinal1(X24)|(~v1_int_1(X24)|~v2_xxreal_0(X24)))&(v1_int_1(X24)|(~v1_int_1(X24)|~v2_xxreal_0(X24)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc19_fomodel0])])])).
cnf(c_0_25, plain, (v1_int_1(X2)|~v5_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_26, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
fof(c_0_27, plain, ![X25]:(~v6_membered(X25)|v5_membered(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
fof(c_0_28, plain, ![X37]:(~v7_ordinal1(X37)|(~v1_abian(X37)|k4_nat_d(X37,np__4)=k5_numbers|k4_nat_d(X37,np__4)=np__2)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t78_number15])])).
fof(c_0_29, negated_conjecture, (v7_ordinal1(esk1_0)&((v1_abian(esk1_0)&~r2_int_1(esk1_0,k5_numbers,np__4))&~r2_int_1(esk1_0,np__2,np__4))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
cnf(c_0_30, plain, (v7_ordinal1(X1)|~v1_int_1(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (v2_xxreal_0(np__4)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_32, plain, (v1_int_1(np__4)|~v5_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_33, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_34, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
fof(c_0_35, plain, ![X36]:(~v1_xboole_0(X36)|X36=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
cnf(c_0_36, plain, (k5_ordinal1=k1_xboole_0), inference(split_conjunct,[status(thm)],[d13_ordinal1])).
cnf(c_0_37, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_38, plain, ![X31, X32]:(~v7_ordinal1(X31)|~v7_ordinal1(X32)|k4_nat_d(X31,X32)=k5_int_1(X31,X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
cnf(c_0_39, plain, (k4_nat_d(X1,np__4)=k5_numbers|k4_nat_d(X1,np__4)=np__2|~v7_ordinal1(X1)|~v1_abian(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_40, negated_conjecture, (v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_41, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_42, plain, (v7_ordinal1(np__4)|~v1_int_1(np__4)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_43, plain, (v1_int_1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])])).
cnf(c_0_44, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_45, plain, (k1_xboole_0=k5_numbers), inference(rw,[status(thm)],[c_0_36, c_0_37])).
fof(c_0_46, plain, ![X26]:(~v7_ordinal1(X26)|v1_int_1(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_47, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_48, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_49, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__2|k4_nat_d(esk1_0,np__4)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
cnf(c_0_50, plain, (v7_ordinal1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
cnf(c_0_51, plain, (X1=k5_numbers|~v1_xboole_0(X1)), inference(rw,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_52, plain, (v1_xboole_0(np__0)), inference(split_conjunct,[status(thm)],[spc0_boole])).
cnf(c_0_53, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_54, plain, ![X33, X34, X35]:((k5_int_1(X34,X33)!=k5_int_1(X35,X33)|(X33=k5_numbers|r2_int_1(X34,X35,X33))|~v1_int_1(X35)|~v1_int_1(X34)|~v1_int_1(X33))&(~r2_int_1(X34,X35,X33)|k5_int_1(X34,X33)=k5_int_1(X35,X33)|~v1_int_1(X35)|~v1_int_1(X34)|~v1_int_1(X33))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_nat_d])])])])).
cnf(c_0_55, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_56, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_47, c_0_37])).
fof(c_0_57, plain, ![X27, X28]:(~v1_int_1(X27)|~v1_int_1(X28)|k5_int_1(k5_int_1(X27,X28),X28)=k5_int_1(X27,X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_newton02])])).
cnf(c_0_58, negated_conjecture, (k4_nat_d(esk1_0,np__4)=k5_numbers|k5_int_1(esk1_0,np__4)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_41])])).
fof(c_0_59, plain, ![X29, X30]:(~v1_int_1(X29)|~v1_int_1(X30)|k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X29,X30)),X30)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd7_newton02])])).
cnf(c_0_60, plain, (k3_xcmplx_0(np__0,np__4)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r0_r4_r0])).
cnf(c_0_61, plain, (np__0=k5_numbers), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_62, plain, (k2_xcmplx_0(np__0,np__0)=np__0), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r0_r0_r0])).
cnf(c_0_63, plain, (v1_int_1(np__2)|~v5_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_25, c_0_53])).
cnf(c_0_64, plain, (X2=k5_numbers|r2_int_1(X1,X3,X2)|k5_int_1(X1,X2)!=k5_int_1(X3,X2)|~v1_int_1(X3)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_65, plain, (v1_int_1(k5_numbers)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_66, plain, (k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(X1,X2)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_67, negated_conjecture, (k5_int_1(esk1_0,np__4)=np__2|k5_int_1(esk1_0,np__4)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_58]), c_0_50]), c_0_41])])).
cnf(c_0_68, negated_conjecture, (v1_int_1(esk1_0)), inference(spm,[status(thm)],[c_0_55, c_0_41])).
cnf(c_0_69, plain, (k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_70, plain, (k3_xcmplx_0(k5_numbers,np__4)=k5_numbers), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61]), c_0_61])).
cnf(c_0_71, plain, (k2_xcmplx_0(k5_numbers,k5_numbers)=k5_numbers), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_61]), c_0_61]), c_0_61])).
cnf(c_0_72, plain, (v1_int_1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_33]), c_0_34])])).
cnf(c_0_73, plain, (X1=k5_numbers|r2_int_1(X2,k5_numbers,X1)|k5_int_1(X2,X1)!=k5_int_1(k5_numbers,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_74, negated_conjecture, (k5_int_1(esk1_0,np__4)=k5_numbers|k5_int_1(np__2,np__4)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_43]), c_0_68])])).
cnf(c_0_75, plain, (k5_int_1(k5_numbers,np__4)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71]), c_0_65])]), c_0_43])])).
cnf(c_0_76, negated_conjecture, (~r2_int_1(esk1_0,k5_numbers,np__4)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_77, plain, (X1=k5_numbers|r2_int_1(X2,np__2,X1)|k5_int_1(X2,X1)!=k5_int_1(np__2,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_64, c_0_72])).
cnf(c_0_78, negated_conjecture, (~r2_int_1(esk1_0,np__2,np__4)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_79, negated_conjecture, (k5_int_1(np__2,np__4)=np__2|k5_numbers=np__4), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75]), c_0_43]), c_0_68])]), c_0_76])).
cnf(c_0_80, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_81, negated_conjecture, (k5_int_1(esk1_0,np__4)=k5_numbers|k5_numbers=np__4), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_67]), c_0_43]), c_0_68])]), c_0_78]), c_0_79])).
fof(c_0_82, plain, ~v1_xboole_0(np__4), inference(fof_simplification,[status(thm)],[spc4_boole])).
cnf(c_0_83, plain, (v1_xboole_0(k5_numbers)), inference(rw,[status(thm)],[c_0_80, c_0_45])).
cnf(c_0_84, negated_conjecture, (k5_numbers=np__4), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_81]), c_0_75]), c_0_43]), c_0_68])]), c_0_76])).
cnf(c_0_85, plain, (~v1_xboole_0(np__4)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_86, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84]), c_0_85]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 87
# Proof object clause steps            : 52
# Proof object formula steps           : 35
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 48
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 28
# Processed clauses                    : 98
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 90
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 38
# Generated clauses                    : 67
# ...of the previous two non-trivial   : 83
# Contextual simplify-reflections      : 3
# Paramodulations                      : 62
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 22
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 7
# Current number of unprocessed clauses: 19
# ...number of literals in the above   : 82
# Current number of archived formulas  : 0
# Current number of archived clauses   : 68
# Clause-clause subsumption calls (NU) : 196
# Rec. Clause-clause subsumption calls : 91
# Non-unit clause-clause subsumptions  : 13
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2796

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.006 s
# Total time               : 0.025 s
# Maximum resident set size: 3484 pages
