# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S084A
# and selection function SelectCQIArNT.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc2_abian, axiom, ![X1]:((v1_int_1(X1)&~(v1_abian(X1)))=>(~(v8_ordinal1(X1))&v1_int_1(X1))), file('newton06/newton06__t76_newton06', cc2_abian)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton06/newton06__t76_newton06', cc2_int_1)).
fof(cc11_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v7_ordinal1(X1)), file('newton06/newton06__t76_newton06', cc11_ordinal1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton06/newton06__t76_newton06', cc8_ordinal1)).
fof(cc7_xxreal_0, axiom, ![X1]:((v8_ordinal1(X1)&v1_xxreal_0(X1))=>((v1_xxreal_0(X1)&~(v2_xxreal_0(X1)))&~(v3_xxreal_0(X1)))), file('newton06/newton06__t76_newton06', cc7_xxreal_0)).
fof(t76_newton06, conjecture, ![X1]:((v1_int_1(X1)&~(v1_abian(X1)))=>k5_int_1(k1_newton(X1,np__4),np__8)=np__1), file('newton06/newton06__t76_newton06', t76_newton06)).
fof(t60_newton06, axiom, ![X1]:(v1_int_1(X1)=>(k5_int_1(k1_newton(X1,np__4),np__8)=k5_numbers|k5_int_1(k1_newton(X1,np__4),np__8)=np__1)), file('newton06/newton06__t76_newton06', t60_newton06)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('newton06/newton06__t76_newton06', spc4_numerals)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('newton06/newton06__t76_newton06', cc2_xxreal_0)).
fof(fc37_newton06, axiom, ![X1, X2]:(((((v1_int_1(X1)&~(v1_abian(X1)))&~(v8_ordinal1(X2)))&v1_int_1(X2))&v1_abian(X2))=>(v1_int_1(k5_int_1(X1,X2))&~(v1_abian(k5_int_1(X1,X2))))), file('newton06/newton06__t76_newton06', fc37_newton06)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton06/newton06__t76_newton06', redefinition_k5_numbers)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('newton06/newton06__t76_newton06', fc9_ordinal1)).
fof(fc1_abian, axiom, ![X1]:(v1_int_1(X1)=>v1_abian(k3_xcmplx_0(np__2,X1))), file('newton06/newton06__t76_newton06', fc1_abian)).
fof(spc8_numerals, axiom, (v2_xxreal_0(np__8)&m1_subset_1(np__8,k4_ordinal1)), file('newton06/newton06__t76_newton06', spc8_numerals)).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8, axiom, k3_xcmplx_0(np__2,np__4)=np__8, file('newton06/newton06__t76_newton06', rqRealMult__k3_xcmplx_0__r2_r4_r8)).
fof(fc1_wsierp_1, axiom, ![X1, X2]:((v1_int_1(X1)&v7_ordinal1(X2))=>v1_int_1(k1_newton(X1,X2))), file('newton06/newton06__t76_newton06', fc1_wsierp_1)).
fof(fc2_newton01, axiom, ![X1, X2]:(((v1_int_1(X1)&~(v1_abian(X1)))&v7_ordinal1(X2))=>~(v1_abian(k1_newton(X1,X2)))), file('newton06/newton06__t76_newton06', fc2_newton01)).
fof(c_0_17, plain, ![X1]:((v1_int_1(X1)&~v1_abian(X1))=>(~v8_ordinal1(X1)&v1_int_1(X1))), inference(fof_simplification,[status(thm)],[cc2_abian])).
fof(c_0_18, plain, ![X21]:(~v7_ordinal1(X21)|v1_int_1(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_19, plain, ![X19]:(~v8_ordinal1(X19)|v7_ordinal1(X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_ordinal1])])).
fof(c_0_20, plain, ![X24]:(~m1_subset_1(X24,k4_ordinal1)|v7_ordinal1(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_21, plain, ![X1]:((v8_ordinal1(X1)&v1_xxreal_0(X1))=>((v1_xxreal_0(X1)&~v2_xxreal_0(X1))&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc7_xxreal_0])).
fof(c_0_22, negated_conjecture, ~(![X1]:((v1_int_1(X1)&~v1_abian(X1))=>k5_int_1(k1_newton(X1,np__4),np__8)=np__1)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t76_newton06])])).
fof(c_0_23, plain, ![X32]:(~v1_int_1(X32)|(k5_int_1(k1_newton(X32,np__4),np__8)=k5_numbers|k5_int_1(k1_newton(X32,np__4),np__8)=np__1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t60_newton06])])).
fof(c_0_24, plain, ![X20]:((~v8_ordinal1(X20)|(~v1_int_1(X20)|v1_abian(X20)))&(v1_int_1(X20)|(~v1_int_1(X20)|v1_abian(X20)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_25, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
fof(c_0_29, plain, ![X23]:(((v1_xxreal_0(X23)|(~v8_ordinal1(X23)|~v1_xxreal_0(X23)))&(~v2_xxreal_0(X23)|(~v8_ordinal1(X23)|~v1_xxreal_0(X23))))&(~v3_xxreal_0(X23)|(~v8_ordinal1(X23)|~v1_xxreal_0(X23)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
fof(c_0_30, plain, ![X22]:(~v7_ordinal1(X22)|v1_xxreal_0(X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_31, plain, ![X1, X2]:(((((v1_int_1(X1)&~v1_abian(X1))&~v8_ordinal1(X2))&v1_int_1(X2))&v1_abian(X2))=>(v1_int_1(k5_int_1(X1,X2))&~v1_abian(k5_int_1(X1,X2)))), inference(fof_simplification,[status(thm)],[fc37_newton06])).
fof(c_0_32, negated_conjecture, ((v1_int_1(esk1_0)&~v1_abian(esk1_0))&k5_int_1(k1_newton(esk1_0,np__4),np__8)!=np__1), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
cnf(c_0_33, plain, (k5_int_1(k1_newton(X1,np__4),np__8)=k5_numbers|k5_int_1(k1_newton(X1,np__4),np__8)=np__1|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_35, plain, (v1_abian(X1)|~v8_ordinal1(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_36, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_37, plain, (v1_int_1(X1)|~v8_ordinal1(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
fof(c_0_38, plain, ![X25]:(~v1_int_1(X25)|v1_abian(k3_xcmplx_0(np__2,X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_abian])])).
cnf(c_0_39, plain, (v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_40, plain, (m1_subset_1(np__8,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc8_numerals])).
cnf(c_0_41, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_42, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_43, plain, ![X30, X31]:((v1_int_1(k5_int_1(X30,X31))|(~v1_int_1(X30)|v1_abian(X30)|v8_ordinal1(X31)|~v1_int_1(X31)|~v1_abian(X31)))&(~v1_abian(k5_int_1(X30,X31))|(~v1_int_1(X30)|v1_abian(X30)|v8_ordinal1(X31)|~v1_int_1(X31)|~v1_abian(X31)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_44, negated_conjecture, (k5_int_1(k1_newton(esk1_0,np__4),np__8)!=np__1), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_45, plain, (k5_int_1(k1_newton(X1,np__4),np__8)=k5_ordinal1|k5_int_1(k1_newton(X1,np__4),np__8)=np__1|~v1_int_1(X1)), inference(rw,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_46, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_47, plain, (v1_abian(k5_ordinal1)|~v1_int_1(k5_ordinal1)), inference(spm,[status(thm)],[c_0_35, c_0_36])).
cnf(c_0_48, plain, (v1_int_1(k5_ordinal1)), inference(spm,[status(thm)],[c_0_37, c_0_36])).
cnf(c_0_49, plain, (v1_abian(k3_xcmplx_0(np__2,X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_50, plain, (k3_xcmplx_0(np__2,np__4)=np__8), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r2_r4_r8])).
cnf(c_0_51, plain, (v1_int_1(np__4)), inference(spm,[status(thm)],[c_0_25, c_0_39])).
cnf(c_0_52, plain, (v7_ordinal1(np__8)), inference(spm,[status(thm)],[c_0_27, c_0_40])).
cnf(c_0_53, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_26])).
cnf(c_0_54, plain, (v2_xxreal_0(np__8)), inference(split_conjunct,[status(thm)],[spc8_numerals])).
fof(c_0_55, plain, ![X26, X27]:(~v1_int_1(X26)|~v7_ordinal1(X27)|v1_int_1(k1_newton(X26,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_wsierp_1])])).
fof(c_0_56, plain, ![X1, X2]:(((v1_int_1(X1)&~v1_abian(X1))&v7_ordinal1(X2))=>~v1_abian(k1_newton(X1,X2))), inference(fof_simplification,[status(thm)],[fc2_newton01])).
cnf(c_0_57, plain, (v1_abian(X1)|v8_ordinal1(X2)|~v1_abian(k5_int_1(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)|~v1_abian(X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_58, negated_conjecture, (k5_int_1(k1_newton(esk1_0,np__4),np__8)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])])).
cnf(c_0_59, plain, (v1_abian(k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
cnf(c_0_60, plain, (v1_abian(np__8)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])])).
cnf(c_0_61, plain, (v1_int_1(np__8)), inference(spm,[status(thm)],[c_0_25, c_0_52])).
cnf(c_0_62, plain, (~v8_ordinal1(np__8)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_63, plain, (v1_int_1(k1_newton(X1,X2))|~v1_int_1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
fof(c_0_64, plain, ![X28, X29]:(~v1_int_1(X28)|v1_abian(X28)|~v7_ordinal1(X29)|~v1_abian(k1_newton(X28,X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])).
cnf(c_0_65, negated_conjecture, (v1_abian(k1_newton(esk1_0,np__4))|~v1_int_1(k1_newton(esk1_0,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_57, c_0_58]), c_0_59]), c_0_60]), c_0_61])]), c_0_62])).
cnf(c_0_66, plain, (v1_int_1(k1_newton(X1,np__4))|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_63, c_0_39])).
cnf(c_0_67, plain, (v1_abian(X1)|~v1_int_1(X1)|~v7_ordinal1(X2)|~v1_abian(k1_newton(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_68, negated_conjecture, (v1_abian(k1_newton(esk1_0,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_46])])).
cnf(c_0_69, negated_conjecture, (~v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_70, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_39]), c_0_46])]), c_0_69]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 71
# Proof object clause steps            : 37
# Proof object formula steps           : 34
# Proof object conjectures             : 10
# Proof object clause conjectures      : 7
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 15
# Proof object simplifying inferences  : 19
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 25
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 23
# Processed clauses                    : 67
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 67
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 4
# Generated clauses                    : 27
# ...of the previous two non-trivial   : 27
# Contextual simplify-reflections      : 1
# Paramodulations                      : 26
# Factorizations                       : 1
# 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  : 39
#    Positive orientable unit clauses  : 18
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 17
# Current number of unprocessed clauses: 6
# ...number of literals in the above   : 27
# Current number of archived formulas  : 0
# Current number of archived clauses   : 28
# Clause-clause subsumption calls (NU) : 101
# Rec. Clause-clause subsumption calls : 44
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 40
# 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          : 2077

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.002 s
# Total time               : 0.025 s
# Maximum resident set size: 3532 pages
