# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t3_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k3_xcmplx_0(np__1,X1)=X1), file('newton06/newton06__t17_newton06', t3_arithm)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('newton06/newton06__t17_newton06', cc3_xreal_0)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t17_newton06', cc3_int_1)).
fof(dt_k1_int_1, axiom, ![X1]:(v1_xreal_0(X1)=>v1_int_1(k1_int_1(X1))), file('newton06/newton06__t17_newton06', dt_k1_int_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton06/newton06__t17_newton06', cc8_ordinal1)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('newton06/newton06__t17_newton06', cc1_xcmplx_0)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton06/newton06__t17_newton06', spc1_numerals)).
fof(spc5_arithm, axiom, ![X1, X2, X3]:(((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))&v1_xcmplx_0(X3))=>k3_xcmplx_0(k2_xcmplx_0(X1,X2),X3)=k2_xcmplx_0(k3_xcmplx_0(X1,X3),k3_xcmplx_0(X2,X3))), file('newton06/newton06__t17_newton06', spc5_arithm)).
fof(t14_newton06, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>k3_int_1(k3_xcmplx_0(X1,X2))=k3_int_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_int_1(X1),k3_int_1(X2)),k3_xcmplx_0(k1_int_1(X2),k3_int_1(X1))),k3_xcmplx_0(k3_int_1(X1),k3_int_1(X2)))))), file('newton06/newton06__t17_newton06', t14_newton06)).
fof(t17_newton06, conjecture, ![X1]:(v1_xreal_0(X1)=>k3_int_1(k3_xcmplx_0(X1,X1))=k3_int_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(np__2,k1_int_1(X1)),k3_int_1(X1)),k3_xcmplx_0(k3_int_1(X1),k3_int_1(X1))))), file('newton06/newton06__t17_newton06', t17_newton06)).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(np__1,np__1)=np__2, file('newton06/newton06__t17_newton06', rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
fof(fc5_int_1, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xreal_0(k3_int_1(X1))), file('newton06/newton06__t17_newton06', fc5_int_1)).
fof(c_0_12, plain, ![X29]:(~v1_xcmplx_0(X29)|k3_xcmplx_0(np__1,X29)=X29), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_arithm])])).
fof(c_0_13, plain, ![X20]:(~v1_xreal_0(X20)|v1_xcmplx_0(X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_14, plain, ![X19]:(~v1_int_1(X19)|v1_xreal_0(X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
fof(c_0_15, plain, ![X22]:(~v1_xreal_0(X22)|v1_int_1(k1_int_1(X22))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_int_1])])).
fof(c_0_16, plain, ![X21]:(~m1_subset_1(X21,k4_ordinal1)|v7_ordinal1(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_17, plain, (k3_xcmplx_0(np__1,X1)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_19, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, plain, (v1_int_1(k1_int_1(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_21, plain, ![X18]:(~v7_ordinal1(X18)|v1_xcmplx_0(X18)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_22, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_24, plain, ![X24, X25, X26]:(~v1_xcmplx_0(X24)|~v1_xcmplx_0(X25)|~v1_xcmplx_0(X26)|k3_xcmplx_0(k2_xcmplx_0(X24,X25),X26)=k2_xcmplx_0(k3_xcmplx_0(X24,X26),k3_xcmplx_0(X25,X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc5_arithm])])).
cnf(c_0_25, plain, (k3_xcmplx_0(np__1,X1)=X1|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_26, plain, (v1_xreal_0(k1_int_1(X1))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_27, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_28, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
fof(c_0_29, plain, ![X27, X28]:(~v1_xreal_0(X27)|(~v1_xreal_0(X28)|k3_int_1(k3_xcmplx_0(X27,X28))=k3_int_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_int_1(X27),k3_int_1(X28)),k3_xcmplx_0(k1_int_1(X28),k3_int_1(X27))),k3_xcmplx_0(k3_int_1(X27),k3_int_1(X28)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_newton06])])])).
cnf(c_0_30, plain, (k3_xcmplx_0(k2_xcmplx_0(X1,X2),X3)=k2_xcmplx_0(k3_xcmplx_0(X1,X3),k3_xcmplx_0(X2,X3))|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)|~v1_xcmplx_0(X3)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (k3_xcmplx_0(np__1,k1_int_1(X1))=k1_int_1(X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_32, plain, (v1_xcmplx_0(np__1)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
fof(c_0_33, negated_conjecture, ~(![X1]:(v1_xreal_0(X1)=>k3_int_1(k3_xcmplx_0(X1,X1))=k3_int_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(np__2,k1_int_1(X1)),k3_int_1(X1)),k3_xcmplx_0(k3_int_1(X1),k3_int_1(X1)))))), inference(assume_negation,[status(cth)],[t17_newton06])).
cnf(c_0_34, plain, (k3_int_1(k3_xcmplx_0(X1,X2))=k3_int_1(k2_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k1_int_1(X1),k3_int_1(X2)),k3_xcmplx_0(k1_int_1(X2),k3_int_1(X1))),k3_xcmplx_0(k3_int_1(X1),k3_int_1(X2))))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_35, plain, (k2_xcmplx_0(k1_int_1(X1),k3_xcmplx_0(X2,k1_int_1(X1)))=k3_xcmplx_0(k2_xcmplx_0(np__1,X2),k1_int_1(X1))|~v1_xcmplx_0(k1_int_1(X1))|~v1_xcmplx_0(X2)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])])).
cnf(c_0_36, plain, (k2_xcmplx_0(np__1,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r1_r1_r2])).
fof(c_0_37, negated_conjecture, (v1_xreal_0(esk1_0)&k3_int_1(k3_xcmplx_0(esk1_0,esk1_0))!=k3_int_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(np__2,k1_int_1(esk1_0)),k3_int_1(esk1_0)),k3_xcmplx_0(k3_int_1(esk1_0),k3_int_1(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
cnf(c_0_38, plain, (k3_int_1(k2_xcmplx_0(k3_xcmplx_0(k2_xcmplx_0(k1_int_1(X1),k1_int_1(X1)),k3_int_1(X1)),k3_xcmplx_0(k3_int_1(X1),k3_int_1(X1))))=k3_int_1(k3_xcmplx_0(X1,X1))|~v1_xcmplx_0(k3_int_1(X1))|~v1_xcmplx_0(k1_int_1(X1))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_34, c_0_30])).
cnf(c_0_39, plain, (k2_xcmplx_0(k1_int_1(X1),k1_int_1(X1))=k3_xcmplx_0(np__2,k1_int_1(X1))|~v1_xcmplx_0(k1_int_1(X1))|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_31]), c_0_36]), c_0_32])])).
cnf(c_0_40, negated_conjecture, (k3_int_1(k3_xcmplx_0(esk1_0,esk1_0))!=k3_int_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(np__2,k1_int_1(esk1_0)),k3_int_1(esk1_0)),k3_xcmplx_0(k3_int_1(esk1_0),k3_int_1(esk1_0))))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_41, plain, (k3_int_1(k2_xcmplx_0(k3_xcmplx_0(k3_xcmplx_0(np__2,k1_int_1(X1)),k3_int_1(X1)),k3_xcmplx_0(k3_int_1(X1),k3_int_1(X1))))=k3_int_1(k3_xcmplx_0(X1,X1))|~v1_xcmplx_0(k3_int_1(X1))|~v1_xcmplx_0(k1_int_1(X1))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_42, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_43, negated_conjecture, (~v1_xcmplx_0(k3_int_1(esk1_0))|~v1_xcmplx_0(k1_int_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
cnf(c_0_44, negated_conjecture, (~v1_xcmplx_0(k3_int_1(esk1_0))|~v1_xreal_0(k1_int_1(esk1_0))), inference(spm,[status(thm)],[c_0_43, c_0_18])).
cnf(c_0_45, negated_conjecture, (~v1_xcmplx_0(k3_int_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_26]), c_0_42])])).
fof(c_0_46, plain, ![X23]:(~v1_xreal_0(X23)|v1_xreal_0(k3_int_1(X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_int_1])])).
cnf(c_0_47, negated_conjecture, (~v1_xreal_0(k3_int_1(esk1_0))), inference(spm,[status(thm)],[c_0_45, c_0_18])).
cnf(c_0_48, plain, (v1_xreal_0(k3_int_1(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_49, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_42])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 50
# Proof object clause steps            : 27
# Proof object formula steps           : 23
# Proof object conjectures             : 10
# Proof object clause conjectures      : 7
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 13
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 11
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 14
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 14
# Processed clauses                    : 266
# ...of these trivial                  : 0
# ...subsumed                          : 48
# ...remaining for further processing  : 218
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 0
# Generated clauses                    : 3192
# ...of the previous two non-trivial   : 3190
# Contextual simplify-reflections      : 0
# Paramodulations                      : 3192
# 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  : 201
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 189
# Current number of unprocessed clauses: 2952
# ...number of literals in the above   : 20462
# Current number of archived formulas  : 0
# Current number of archived clauses   : 17
# Clause-clause subsumption calls (NU) : 12337
# Rec. Clause-clause subsumption calls : 3670
# Non-unit clause-clause subsumptions  : 51
# Unit Clause-clause subsumption calls : 44
# 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          : 256942

# -------------------------------------------------
# User time                : 0.096 s
# System time              : 0.012 s
# Total time               : 0.108 s
# Maximum resident set size: 3060 pages
