# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t24_newton06, conjecture, ![X1]:((v1_int_1(X1)&v1_abian(X1))=>![X2]:((v1_int_1(X2)&~(v1_abian(X2)))=>(~((~(v1_abian(k4_int_1(X1,X2)))&v1_abian(k5_int_1(X1,X2))))&~((~(v1_abian(k5_int_1(X1,X2)))&v1_abian(k4_int_1(X1,X2))))))), file('newton06/newton06__t24_newton06', t24_newton06)).
fof(d10_int_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>((X2!=k5_numbers=>k5_int_1(X1,X2)=k6_xcmplx_0(X1,k3_xcmplx_0(k4_int_1(X1,X2),X2)))&(X2=k5_numbers=>k5_int_1(X1,X2)=k5_numbers)))), file('newton06/newton06__t24_newton06', d10_int_1)).
fof(fc25_newton03, axiom, ![X1, X2]:((((v1_int_1(X1)&v1_abian(X1))&v1_int_1(X2))&v1_abian(X2))=>v1_abian(k6_xcmplx_0(X1,X2))), file('newton06/newton06__t24_newton06', fc25_newton03)).
fof(fc6_abian, axiom, ![X1, X2]:(((v1_int_1(X1)&v1_abian(X1))&v1_int_1(X2))=>v1_abian(k3_xcmplx_0(X1,X2))), file('newton06/newton06__t24_newton06', fc6_abian)).
fof(dt_k4_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k4_int_1(X1,X2))), file('newton06/newton06__t24_newton06', dt_k4_int_1)).
fof(fc2_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k3_xcmplx_0(X1,X2))), file('newton06/newton06__t24_newton06', fc2_int_1)).
fof(fc13_abian, axiom, ![X1, X2]:((((v1_int_1(X1)&v1_abian(X1))&v1_int_1(X2))&~(v1_abian(X2)))=>~(v1_abian(k6_xcmplx_0(X1,X2)))), file('newton06/newton06__t24_newton06', fc13_abian)).
fof(fc8_abian, axiom, ![X1, X2]:((((v1_int_1(X1)&~(v1_abian(X1)))&v1_int_1(X2))&~(v1_abian(X2)))=>~(v1_abian(k3_xcmplx_0(X1,X2)))), file('newton06/newton06__t24_newton06', fc8_abian)).
fof(cc2_abian, axiom, ![X1]:((v1_int_1(X1)&~(v1_abian(X1)))=>(~(v8_ordinal1(X1))&v1_int_1(X1))), file('newton06/newton06__t24_newton06', cc2_abian)).
fof(fc33_newton06, axiom, ![X1]:(v1_int_1(X1)=>(v8_ordinal1(k5_int_1(X1,k5_numbers))&v1_int_1(k5_int_1(X1,k5_numbers)))), file('newton06/newton06__t24_newton06', fc33_newton06)).
fof(c_0_10, negated_conjecture, ~(![X1]:((v1_int_1(X1)&v1_abian(X1))=>![X2]:((v1_int_1(X2)&~v1_abian(X2))=>(~((~v1_abian(k4_int_1(X1,X2))&v1_abian(k5_int_1(X1,X2))))&~((~v1_abian(k5_int_1(X1,X2))&v1_abian(k4_int_1(X1,X2)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_newton06])])).
fof(c_0_11, plain, ![X24, X25]:((X25=k5_numbers|k5_int_1(X24,X25)=k6_xcmplx_0(X24,k3_xcmplx_0(k4_int_1(X24,X25),X25))|~v1_int_1(X25)|~v1_int_1(X24))&(X25!=k5_numbers|k5_int_1(X24,X25)=k5_numbers|~v1_int_1(X25)|~v1_int_1(X24))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_int_1])])])])).
fof(c_0_12, negated_conjecture, ((v1_int_1(esk1_0)&v1_abian(esk1_0))&((v1_int_1(esk2_0)&~v1_abian(esk2_0))&(((~v1_abian(k5_int_1(esk1_0,esk2_0))|~v1_abian(k4_int_1(esk1_0,esk2_0)))&(v1_abian(k4_int_1(esk1_0,esk2_0))|~v1_abian(k4_int_1(esk1_0,esk2_0))))&((~v1_abian(k5_int_1(esk1_0,esk2_0))|v1_abian(k5_int_1(esk1_0,esk2_0)))&(v1_abian(k4_int_1(esk1_0,esk2_0))|v1_abian(k5_int_1(esk1_0,esk2_0))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
cnf(c_0_13, plain, (X1=k5_numbers|k5_int_1(X2,X1)=k6_xcmplx_0(X2,k3_xcmplx_0(k4_int_1(X2,X1),X1))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_14, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_15, plain, ![X30, X31]:(~v1_int_1(X30)|~v1_abian(X30)|~v1_int_1(X31)|~v1_abian(X31)|v1_abian(k6_xcmplx_0(X30,X31))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc25_newton03])])).
cnf(c_0_16, negated_conjecture, (k6_xcmplx_0(esk1_0,k3_xcmplx_0(k4_int_1(esk1_0,X1),X1))=k5_int_1(esk1_0,X1)|X1=k5_numbers|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_17, negated_conjecture, (v1_int_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, plain, (v1_abian(k6_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_abian(X1)|~v1_int_1(X2)|~v1_abian(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, negated_conjecture, (k6_xcmplx_0(esk1_0,k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))=k5_int_1(esk1_0,esk2_0)|esk2_0=k5_numbers), inference(spm,[status(thm)],[c_0_16, c_0_17])).
cnf(c_0_20, negated_conjecture, (v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_21, plain, ![X35, X36]:(~v1_int_1(X35)|~v1_abian(X35)|~v1_int_1(X36)|v1_abian(k3_xcmplx_0(X35,X36))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_abian])])).
cnf(c_0_22, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k5_int_1(esk1_0,esk2_0))|~v1_abian(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))|~v1_int_1(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_14])])).
cnf(c_0_23, plain, (v1_abian(k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_abian(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_24, negated_conjecture, (v1_abian(k4_int_1(esk1_0,esk2_0))|v1_abian(k5_int_1(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_25, plain, ![X26, X27]:(~v1_int_1(X26)|~v1_int_1(X27)|v1_int_1(k4_int_1(X26,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_int_1])])).
cnf(c_0_26, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k5_int_1(esk1_0,esk2_0))|~v1_int_1(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))|~v1_int_1(k4_int_1(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_17])]), c_0_24])).
cnf(c_0_27, plain, (v1_int_1(k4_int_1(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_28, plain, ![X32, X33]:(~v1_int_1(X32)|~v1_int_1(X33)|v1_int_1(k3_xcmplx_0(X32,X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_int_1])])).
fof(c_0_29, plain, ![X1, X2]:((((v1_int_1(X1)&v1_abian(X1))&v1_int_1(X2))&~v1_abian(X2))=>~v1_abian(k6_xcmplx_0(X1,X2))), inference(fof_simplification,[status(thm)],[fc13_abian])).
cnf(c_0_30, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k5_int_1(esk1_0,esk2_0))|~v1_int_1(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_17]), c_0_14])])).
cnf(c_0_31, plain, (v1_int_1(k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_32, plain, ![X28, X29]:(~v1_int_1(X28)|~v1_abian(X28)|~v1_int_1(X29)|v1_abian(X29)|~v1_abian(k6_xcmplx_0(X28,X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])).
cnf(c_0_33, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k5_int_1(esk1_0,esk2_0))|~v1_int_1(k4_int_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_17])])).
cnf(c_0_34, plain, (v1_abian(X2)|~v1_int_1(X1)|~v1_abian(X1)|~v1_int_1(X2)|~v1_abian(k6_xcmplx_0(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_35, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k5_int_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_27]), c_0_17]), c_0_14])])).
fof(c_0_36, plain, ![X1, X2]:((((v1_int_1(X1)&~v1_abian(X1))&v1_int_1(X2))&~v1_abian(X2))=>~v1_abian(k3_xcmplx_0(X1,X2))), inference(fof_simplification,[status(thm)],[fc8_abian])).
cnf(c_0_37, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))|~v1_int_1(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_19]), c_0_20]), c_0_14])]), c_0_35])).
fof(c_0_38, plain, ![X37, X38]:(~v1_int_1(X37)|v1_abian(X37)|~v1_int_1(X38)|v1_abian(X38)|~v1_abian(k3_xcmplx_0(X37,X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])).
cnf(c_0_39, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))|~v1_int_1(k4_int_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_31]), c_0_17])])).
fof(c_0_40, plain, ![X1]:((v1_int_1(X1)&~v1_abian(X1))=>(~v8_ordinal1(X1)&v1_int_1(X1))), inference(fof_simplification,[status(thm)],[cc2_abian])).
cnf(c_0_41, plain, (v1_abian(X1)|v1_abian(X2)|~v1_int_1(X1)|~v1_int_1(X2)|~v1_abian(k3_xcmplx_0(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_42, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k3_xcmplx_0(k4_int_1(esk1_0,esk2_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_27]), c_0_17]), c_0_14])])).
cnf(c_0_43, negated_conjecture, (~v1_abian(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_44, plain, ![X23]:((~v8_ordinal1(X23)|(~v1_int_1(X23)|v1_abian(X23)))&(v1_int_1(X23)|(~v1_int_1(X23)|v1_abian(X23)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
fof(c_0_45, plain, ![X34]:((v8_ordinal1(k5_int_1(X34,k5_numbers))|~v1_int_1(X34))&(v1_int_1(k5_int_1(X34,k5_numbers))|~v1_int_1(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc33_newton06])])])).
cnf(c_0_46, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k4_int_1(esk1_0,esk2_0))|~v1_int_1(k4_int_1(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_17])]), c_0_43])).
cnf(c_0_47, plain, (v1_abian(X1)|~v8_ordinal1(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_48, plain, (v8_ordinal1(k5_int_1(X1,k5_numbers))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_49, plain, (v1_int_1(k5_int_1(X1,k5_numbers))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_50, plain, (k5_int_1(X2,X1)=k5_numbers|X1!=k5_numbers|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_51, negated_conjecture, (~v1_abian(k5_int_1(esk1_0,esk2_0))|~v1_abian(k4_int_1(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_52, negated_conjecture, (esk2_0=k5_numbers|v1_abian(k4_int_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_27]), c_0_17]), c_0_14])])).
cnf(c_0_53, plain, (v1_abian(k5_int_1(X1,k5_numbers))|~v1_int_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])).
cnf(c_0_54, plain, (k5_int_1(X1,k5_numbers)=k5_numbers|~v1_int_1(k5_numbers)|~v1_int_1(X1)), inference(er,[status(thm)],[c_0_50])).
cnf(c_0_55, negated_conjecture, (esk2_0=k5_numbers), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_35])).
cnf(c_0_56, plain, (v1_abian(k5_numbers)|~v1_int_1(k5_numbers)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_57, negated_conjecture, (v1_int_1(k5_numbers)), inference(rw,[status(thm)],[c_0_17, c_0_55])).
cnf(c_0_58, negated_conjecture, (~v1_abian(k5_numbers)), inference(rw,[status(thm)],[c_0_43, c_0_55])).
cnf(c_0_59, plain, (~v1_int_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])]), c_0_58])).
cnf(c_0_60, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_14, c_0_59]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 61
# Proof object clause steps            : 37
# Proof object formula steps           : 24
# Proof object conjectures             : 25
# Proof object clause conjectures      : 22
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 15
# Proof object simplifying inferences  : 38
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 17
# Processed clauses                    : 63
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 60
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 7
# Backward-rewritten                   : 14
# Generated clauses                    : 56
# ...of the previous two non-trivial   : 56
# Contextual simplify-reflections      : 4
# Paramodulations                      : 53
# 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  : 19
#    Positive orientable unit clauses  : 2
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 15
# Current number of unprocessed clauses: 27
# ...number of literals in the above   : 95
# Current number of archived formulas  : 0
# Current number of archived clauses   : 40
# Clause-clause subsumption calls (NU) : 151
# Rec. Clause-clause subsumption calls : 57
# Non-unit clause-clause subsumptions  : 11
# Unit Clause-clause subsumption calls : 19
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2869

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.003 s
# Total time               : 0.022 s
# Maximum resident set size: 2856 pages
