# 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(t80_number15, axiom, ![X1]:(v7_ordinal1(X1)=>~(((~(v1_abian(X1))&k4_nat_d(X1,np__4)!=np__1)&k4_nat_d(X1,np__4)!=np__3))), file('number15/number15__t81_number15', t80_number15)).
fof(t81_number15, conjecture, ![X1]:(v7_ordinal1(X1)=>~(((~(v1_abian(X1))&~(r2_int_1(X1,np__1,np__4)))&~(r2_int_1(X1,np__3,np__4))))), file('number15/number15__t81_number15', t81_number15)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('number15/number15__t81_number15', cc8_ordinal1)).
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__t81_number15', redefinition_k4_nat_d)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('number15/number15__t81_number15', spc4_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__t81_number15', t64_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('number15/number15__t81_number15', cc2_int_1)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('number15/number15__t81_number15', spc3_numerals)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('number15/number15__t81_number15', redefinition_k5_numbers)).
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__t81_number15', rd5_newton02)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('number15/number15__t81_number15', spc1_numerals)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('number15/number15__t81_number15', fc1_xboole_0)).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0, file('number15/number15__t81_number15', d13_ordinal1)).
fof(spc4_boole, axiom, ~(v1_xboole_0(np__4)), file('number15/number15__t81_number15', spc4_boole)).
fof(c_0_14, plain, ![X1]:(v7_ordinal1(X1)=>~(((~v1_abian(X1)&k4_nat_d(X1,np__4)!=np__1)&k4_nat_d(X1,np__4)!=np__3))), inference(fof_simplification,[status(thm)],[t80_number15])).
fof(c_0_15, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>~(((~v1_abian(X1)&~r2_int_1(X1,np__1,np__4))&~r2_int_1(X1,np__3,np__4))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t81_number15])])).
fof(c_0_16, plain, ![X25]:(~v7_ordinal1(X25)|(v1_abian(X25)|k4_nat_d(X25,np__4)=np__1|k4_nat_d(X25,np__4)=np__3)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])).
fof(c_0_17, negated_conjecture, (v7_ordinal1(esk1_0)&((~v1_abian(esk1_0)&~r2_int_1(esk1_0,np__1,np__4))&~r2_int_1(esk1_0,np__3,np__4))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_18, plain, ![X17]:(~m1_subset_1(X17,k4_ordinal1)|v7_ordinal1(X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_19, plain, ![X20, X21]:(~v7_ordinal1(X20)|~v7_ordinal1(X21)|k4_nat_d(X20,X21)=k5_int_1(X20,X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
cnf(c_0_20, plain, (v1_abian(X1)|k4_nat_d(X1,np__4)=np__1|k4_nat_d(X1,np__4)=np__3|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, negated_conjecture, (~v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
fof(c_0_25, plain, ![X22, X23, X24]:((k5_int_1(X23,X22)!=k5_int_1(X24,X22)|(X22=k5_numbers|r2_int_1(X23,X24,X22))|~v1_int_1(X24)|~v1_int_1(X23)|~v1_int_1(X22))&(~r2_int_1(X23,X24,X22)|k5_int_1(X23,X22)=k5_int_1(X24,X22)|~v1_int_1(X24)|~v1_int_1(X23)|~v1_int_1(X22))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_nat_d])])])])).
fof(c_0_26, plain, ![X16]:(~v7_ordinal1(X16)|v1_int_1(X16)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_27, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
cnf(c_0_28, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_29, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__3|k4_nat_d(esk1_0,np__4)=np__1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])).
cnf(c_0_30, plain, (v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_31, 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_25])).
cnf(c_0_32, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_33, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_34, plain, (v7_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_23, c_0_27])).
fof(c_0_35, plain, ![X18, X19]:(~v1_int_1(X18)|~v1_int_1(X19)|k5_int_1(k5_int_1(X18,X19),X19)=k5_int_1(X18,X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_newton02])])).
cnf(c_0_36, negated_conjecture, (k4_nat_d(esk1_0,np__4)=np__1|k5_int_1(esk1_0,np__4)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_21])])).
cnf(c_0_37, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_38, plain, (X1=k5_ordinal1|r2_int_1(X2,X3,X1)|k5_int_1(X2,X1)!=k5_int_1(X3,X1)|~v1_int_1(X3)|~v1_int_1(X1)|~v1_int_1(X2)), inference(rw,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_39, plain, (v1_int_1(np__3)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_40, 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_35])).
cnf(c_0_41, negated_conjecture, (k5_int_1(esk1_0,np__4)=np__3|k5_int_1(esk1_0,np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_36]), c_0_30]), c_0_21])])).
cnf(c_0_42, plain, (v1_int_1(np__4)), inference(spm,[status(thm)],[c_0_33, c_0_30])).
cnf(c_0_43, negated_conjecture, (v1_int_1(esk1_0)), inference(spm,[status(thm)],[c_0_33, c_0_21])).
cnf(c_0_44, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_23, c_0_37])).
cnf(c_0_45, plain, (X1=k5_ordinal1|r2_int_1(X2,np__3,X1)|k5_int_1(X2,X1)!=k5_int_1(np__3,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_46, negated_conjecture, (~r2_int_1(esk1_0,np__3,np__4)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_47, negated_conjecture, (k5_int_1(esk1_0,np__4)=np__1|k5_int_1(np__3,np__4)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_43])])).
cnf(c_0_48, plain, (v1_int_1(np__1)), inference(spm,[status(thm)],[c_0_33, c_0_44])).
cnf(c_0_49, negated_conjecture, (k5_int_1(esk1_0,np__4)=np__1|k5_ordinal1=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_45, c_0_41]), c_0_42]), c_0_43])]), c_0_46]), c_0_47])).
cnf(c_0_50, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_51, plain, (k5_ordinal1=k1_xboole_0), inference(split_conjunct,[status(thm)],[d13_ordinal1])).
cnf(c_0_52, plain, (X1=k5_ordinal1|r2_int_1(X2,np__1,X1)|k5_int_1(X2,X1)!=k5_int_1(np__1,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_38, c_0_48])).
cnf(c_0_53, negated_conjecture, (~r2_int_1(esk1_0,np__1,np__4)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_54, negated_conjecture, (k5_int_1(np__1,np__4)=np__1|k5_ordinal1=np__4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_49]), c_0_42]), c_0_43])])).
fof(c_0_55, plain, ~v1_xboole_0(np__4), inference(fof_simplification,[status(thm)],[spc4_boole])).
cnf(c_0_56, plain, (v1_xboole_0(k5_ordinal1)), inference(rw,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_57, negated_conjecture, (k5_ordinal1=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_52, c_0_49]), c_0_42]), c_0_43])]), c_0_53]), c_0_54])).
cnf(c_0_58, plain, (~v1_xboole_0(np__4)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_59, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57]), c_0_58]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 60
# Proof object clause steps            : 36
# Proof object formula steps           : 24
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 16
# Proof object simplifying inferences  : 27
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 21
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 21
# Processed clauses                    : 95
# ...of these trivial                  : 0
# ...subsumed                          : 11
# ...remaining for further processing  : 84
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 16
# Generated clauses                    : 86
# ...of the previous two non-trivial   : 90
# Contextual simplify-reflections      : 5
# Paramodulations                      : 77
# Factorizations                       : 5
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 42
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 23
# Current number of unprocessed clauses: 32
# ...number of literals in the above   : 128
# Current number of archived formulas  : 0
# Current number of archived clauses   : 42
# Clause-clause subsumption calls (NU) : 310
# Rec. Clause-clause subsumption calls : 190
# Non-unit clause-clause subsumptions  : 21
# Unit Clause-clause subsumption calls : 32
# 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          : 2555

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 3608 pages
