# 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(t1_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k2_xcmplx_0(X1,k5_numbers)=X1), file('newton07/newton07__t28_newton07', t1_arithm)).
fof(commutativity_k2_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)), file('newton07/newton07__t28_newton07', commutativity_k2_xcmplx_0)).
fof(t28_newton07, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>k4_nat_d(k4_newton(np__1,k3_xcmplx_0(X1,X2)),X2)=k5_numbers)), file('newton07/newton07__t28_newton07', t28_newton07)).
fof(rd7_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers), file('newton07/newton07__t28_newton07', rd7_newton02)).
fof(rd4_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>k4_newton(np__1,X1)=X1), file('newton07/newton07__t28_newton07', rd4_newton07)).
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('newton07/newton07__t28_newton07', redefinition_k4_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton07/newton07__t28_newton07', cc2_int_1)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t28_newton07', cc3_xreal_0)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('newton07/newton07__t28_newton07', cc2_xreal_0)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('newton07/newton07__t28_newton07', fc2_nat_1)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton07/newton07__t28_newton07', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton07/newton07__t28_newton07', redefinition_k5_numbers)).
fof(c_0_12, plain, ![X36]:(~v1_xcmplx_0(X36)|k2_xcmplx_0(X36,k5_numbers)=X36), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_arithm])])).
fof(c_0_13, plain, ![X25, X26]:(~v1_xcmplx_0(X25)|~v1_xcmplx_0(X26)|k2_xcmplx_0(X25,X26)=k2_xcmplx_0(X26,X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
fof(c_0_14, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>k4_nat_d(k4_newton(np__1,k3_xcmplx_0(X1,X2)),X2)=k5_numbers))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_newton07])])).
fof(c_0_15, plain, ![X32, X33]:(~v1_int_1(X32)|~v1_int_1(X33)|k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X32,X33)),X33)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd7_newton02])])).
cnf(c_0_16, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_18, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&((v7_ordinal1(esk2_0)&~v8_ordinal1(esk2_0))&k4_nat_d(k4_newton(np__1,k3_xcmplx_0(esk1_0,esk2_0)),esk2_0)!=k5_numbers)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_19, plain, ![X31]:(~v7_ordinal1(X31)|k4_newton(np__1,X31)=X31), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd4_newton07])])).
fof(c_0_20, plain, ![X34, X35]:(~v7_ordinal1(X34)|~v7_ordinal1(X35)|k4_nat_d(X34,X35)=k5_int_1(X34,X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
cnf(c_0_21, plain, (k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (k2_xcmplx_0(k5_numbers,X1)=X1|~v1_xcmplx_0(k5_numbers)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
fof(c_0_23, plain, ![X22]:(~v7_ordinal1(X22)|v1_int_1(X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_24, negated_conjecture, (k4_nat_d(k4_newton(np__1,k3_xcmplx_0(esk1_0,esk2_0)),esk2_0)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (k4_newton(np__1,X1)=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (k5_int_1(k3_xcmplx_0(X1,X2),X2)=k5_numbers|~v1_xcmplx_0(k3_xcmplx_0(X1,X2))|~v1_xcmplx_0(k5_numbers)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_28, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_29, negated_conjecture, (k4_nat_d(k3_xcmplx_0(esk1_0,esk2_0),esk2_0)!=k5_numbers|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_30, plain, (k4_nat_d(k3_xcmplx_0(X1,X2),X2)=k5_numbers|~v1_xcmplx_0(k3_xcmplx_0(X1,X2))|~v1_xcmplx_0(k5_numbers)|~v1_int_1(X1)|~v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
cnf(c_0_31, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_32, plain, ![X24]:(~v1_xreal_0(X24)|v1_xcmplx_0(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_33, plain, ![X23]:(~v7_ordinal1(X23)|v1_xreal_0(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_34, negated_conjecture, (~v1_xcmplx_0(k3_xcmplx_0(esk1_0,esk2_0))|~v1_xcmplx_0(k5_numbers)|~v1_int_1(esk1_0)|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])).
cnf(c_0_35, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_36, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_37, plain, ![X27, X28]:(~v7_ordinal1(X27)|~v7_ordinal1(X28)|v7_ordinal1(k3_xcmplx_0(X27,X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_38, negated_conjecture, (~v1_xcmplx_0(k5_numbers)|~v1_int_1(esk1_0)|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
cnf(c_0_39, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_40, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_41, negated_conjecture, (~v1_xcmplx_0(k5_numbers)|~v1_int_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_31]), c_0_40])])).
cnf(c_0_42, negated_conjecture, (~v1_xcmplx_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_28]), c_0_40])])).
cnf(c_0_43, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_44, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_45, negated_conjecture, (~v1_xreal_0(k5_numbers)), inference(spm,[status(thm)],[c_0_42, c_0_35])).
cnf(c_0_46, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_47, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_36]), c_0_46])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 48
# Proof object clause steps            : 25
# Proof object formula steps           : 23
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 12
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 17
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 17
# Processed clauses                    : 46
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 43
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 14
# ...of the previous two non-trivial   : 13
# Contextual simplify-reflections      : 2
# Paramodulations                      : 14
# 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  : 24
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 15
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 5
# Current number of archived formulas  : 0
# Current number of archived clauses   : 19
# Clause-clause subsumption calls (NU) : 75
# Rec. Clause-clause subsumption calls : 48
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 8
# 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          : 1447

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.004 s
# Total time               : 0.026 s
# Maximum resident set size: 2936 pages
