# 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       : 0.013 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t37_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:((v7_ordinal1(X3)&v1_int_2(X3))=>(~(r1_xxreal_0(X3,X2))=>k4_nat_d(k4_newton(X2,k2_xcmplx_0(k3_xcmplx_0(X1,X3),X2)),X3)=np__1)))), file('newton07/newton07__t38_newton07', t37_newton07)).
fof(t38_newton07, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:((v7_ordinal1(X3)&v1_int_2(X3))=>(~(r1_xxreal_0(X3,X2))=>k4_nat_d(k4_newton(k3_xcmplx_0(X1,X3),k2_xcmplx_0(k3_xcmplx_0(X1,X3),X2)),X3)=np__1)))), file('newton07/newton07__t38_newton07', t38_newton07)).
fof(t9_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>k4_newton(X2,k2_xcmplx_0(X1,X2))=k4_newton(X1,k2_xcmplx_0(X1,X2)))), file('newton07/newton07__t38_newton07', t9_newton07)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('newton07/newton07__t38_newton07', fc2_nat_1)).
fof(c_0_4, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:((v7_ordinal1(X3)&v1_int_2(X3))=>(~r1_xxreal_0(X3,X2)=>k4_nat_d(k4_newton(X2,k2_xcmplx_0(k3_xcmplx_0(X1,X3),X2)),X3)=np__1)))), inference(fof_simplification,[status(thm)],[t37_newton07])).
fof(c_0_5, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:((v7_ordinal1(X3)&v1_int_2(X3))=>(~r1_xxreal_0(X3,X2)=>k4_nat_d(k4_newton(k3_xcmplx_0(X1,X3),k2_xcmplx_0(k3_xcmplx_0(X1,X3),X2)),X3)=np__1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t38_newton07])])).
fof(c_0_6, plain, ![X19, X20, X21]:(~v7_ordinal1(X19)|(~v7_ordinal1(X20)|(~v7_ordinal1(X21)|~v1_int_2(X21)|(r1_xxreal_0(X21,X20)|k4_nat_d(k4_newton(X20,k2_xcmplx_0(k3_xcmplx_0(X19,X21),X20)),X21)=np__1)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_7, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&((v7_ordinal1(esk3_0)&v1_int_2(esk3_0))&(~r1_xxreal_0(esk3_0,esk2_0)&k4_nat_d(k4_newton(k3_xcmplx_0(esk1_0,esk3_0),k2_xcmplx_0(k3_xcmplx_0(esk1_0,esk3_0),esk2_0)),esk3_0)!=np__1)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_8, plain, ![X22, X23]:(~v7_ordinal1(X22)|(~v7_ordinal1(X23)|k4_newton(X23,k2_xcmplx_0(X22,X23))=k4_newton(X22,k2_xcmplx_0(X22,X23)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_newton07])])])).
cnf(c_0_9, plain, (r1_xxreal_0(X3,X2)|k4_nat_d(k4_newton(X2,k2_xcmplx_0(k3_xcmplx_0(X1,X3),X2)),X3)=np__1|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~v1_int_2(X3)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_10, negated_conjecture, (v1_int_2(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, negated_conjecture, (k4_nat_d(k4_newton(k3_xcmplx_0(esk1_0,esk3_0),k2_xcmplx_0(k3_xcmplx_0(esk1_0,esk3_0),esk2_0)),esk3_0)!=np__1), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_13, plain, (k4_newton(X2,k2_xcmplx_0(X1,X2))=k4_newton(X1,k2_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_14, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_15, negated_conjecture, (k4_nat_d(k4_newton(X1,k2_xcmplx_0(k3_xcmplx_0(X2,esk3_0),X1)),esk3_0)=np__1|r1_xxreal_0(esk3_0,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])])).
cnf(c_0_16, negated_conjecture, (~r1_xxreal_0(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_17, negated_conjecture, (k4_nat_d(k4_newton(esk2_0,k2_xcmplx_0(k3_xcmplx_0(esk1_0,esk3_0),esk2_0)),esk3_0)!=np__1|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
cnf(c_0_18, negated_conjecture, (k4_nat_d(k4_newton(esk2_0,k2_xcmplx_0(k3_xcmplx_0(X1,esk3_0),esk2_0)),esk3_0)=np__1|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_14]), c_0_16])).
cnf(c_0_19, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_20, plain, ![X17, X18]:(~v7_ordinal1(X17)|~v7_ordinal1(X18)|v7_ordinal1(k3_xcmplx_0(X17,X18))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_21, negated_conjecture, (~v7_ordinal1(k3_xcmplx_0(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])).
cnf(c_0_22, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_11]), c_0_19])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 24
# Proof object clause steps            : 14
# Proof object formula steps           : 10
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 9
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 10
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 9
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 9
# Processed clauses                    : 22
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 22
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 8
# ...of the previous two non-trivial   : 7
# Contextual simplify-reflections      : 0
# Paramodulations                      : 8
# Factorizations                       : 0
# 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  : 13
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 6
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 11
# Current number of archived formulas  : 0
# Current number of archived clauses   : 9
# Clause-clause subsumption calls (NU) : 7
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 1
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 995

# -------------------------------------------------
# User time                : 0.016 s
# System time              : 0.000 s
# Total time               : 0.016 s
# Maximum resident set size: 3700 pages
