# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01BI
# and selection function PSelectMinOptimalNoXTypePred.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc5_xxreal_0, axiom, ![X1]:((v1_xxreal_0(X1)&v3_xxreal_0(X1))=>((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v2_xxreal_0(X1)))), file('newton06/newton06__t4_newton06', cc5_xxreal_0)).
fof(t8_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~(r1_xxreal_0(X1,X2))&~(v3_xxreal_0(X2)))&~(v2_xxreal_0(X1)))))), file('newton06/newton06__t4_newton06', t8_real)).
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__t4_newton06', cc7_xxreal_0)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('newton06/newton06__t4_newton06', cc2_xxreal_0)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('newton06/newton06__t4_newton06', cc4_xreal_0)).
fof(t4_newton06, conjecture, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:((v1_xreal_0(X2)&v2_xxreal_0(X2))=>r1_xxreal_0(k7_xcmplx_0(k1_int_1(X1),X2),k7_xcmplx_0(X1,X2)))), file('newton06/newton06__t4_newton06', t4_newton06)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton06/newton06__t4_newton06', fc8_ordinal1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t4_newton06', cc2_xreal_0)).
fof(t72_xreal_1, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>![X3]:(v1_xreal_0(X3)=>((r1_xxreal_0(k5_numbers,X3)&r1_xxreal_0(X2,X1))=>r1_xxreal_0(k7_xcmplx_0(X2,X3),k7_xcmplx_0(X1,X3)))))), file('newton06/newton06__t4_newton06', t72_xreal_1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('newton06/newton06__t4_newton06', fc9_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton06/newton06__t4_newton06', redefinition_k5_numbers)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t4_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__t4_newton06', dt_k1_int_1)).
fof(d6_int_1, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_int_1(X2)=>(X2=k1_int_1(X1)<=>(r1_xxreal_0(X2,X1)&~(r1_xxreal_0(X2,k6_xcmplx_0(X1,np__1))))))), file('newton06/newton06__t4_newton06', d6_int_1)).
fof(c_0_14, plain, ![X1]:((v1_xxreal_0(X1)&v3_xxreal_0(X1))=>((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc5_xxreal_0])).
fof(c_0_15, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~r1_xxreal_0(X1,X2)&~v3_xxreal_0(X2))&~v2_xxreal_0(X1))))), inference(fof_simplification,[status(thm)],[t8_real])).
fof(c_0_16, 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_17, plain, ![X23]:(~v7_ordinal1(X23)|v1_xxreal_0(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_18, plain, ![X26]:(((~v8_ordinal1(X26)|(~v1_xxreal_0(X26)|~v3_xxreal_0(X26)))&(v1_xxreal_0(X26)|(~v1_xxreal_0(X26)|~v3_xxreal_0(X26))))&(~v2_xxreal_0(X26)|(~v1_xxreal_0(X26)|~v3_xxreal_0(X26)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_19, plain, ![X34, X35]:(~v1_xreal_0(X34)|(~v1_xreal_0(X35)|(r1_xxreal_0(X34,X35)|v3_xxreal_0(X35)|v2_xxreal_0(X34)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_20, plain, ![X25]:(~v1_xreal_0(X25)|v1_xxreal_0(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
fof(c_0_21, negated_conjecture, ~(![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:((v1_xreal_0(X2)&v2_xxreal_0(X2))=>r1_xxreal_0(k7_xcmplx_0(k1_int_1(X1),X2),k7_xcmplx_0(X1,X2))))), inference(assume_negation,[status(cth)],[t4_newton06])).
fof(c_0_22, plain, ![X27]:(((v1_xxreal_0(X27)|(~v8_ordinal1(X27)|~v1_xxreal_0(X27)))&(~v2_xxreal_0(X27)|(~v8_ordinal1(X27)|~v1_xxreal_0(X27))))&(~v3_xxreal_0(X27)|(~v8_ordinal1(X27)|~v1_xxreal_0(X27)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
cnf(c_0_23, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_25, plain, (~v2_xxreal_0(X1)|~v1_xxreal_0(X1)|~v3_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (r1_xxreal_0(X1,X2)|v3_xxreal_0(X2)|v2_xxreal_0(X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_28, negated_conjecture, ((v1_xreal_0(esk1_0)&v2_xxreal_0(esk1_0))&((v1_xreal_0(esk2_0)&v2_xxreal_0(esk2_0))&~r1_xxreal_0(k7_xcmplx_0(k1_int_1(esk1_0),esk2_0),k7_xcmplx_0(esk1_0,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
fof(c_0_29, plain, ![X22]:(~v7_ordinal1(X22)|v1_xreal_0(X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_30, plain, ![X31, X32, X33]:(~v1_xreal_0(X31)|(~v1_xreal_0(X32)|(~v1_xreal_0(X33)|(~r1_xxreal_0(k5_numbers,X33)|~r1_xxreal_0(X32,X31)|r1_xxreal_0(k7_xcmplx_0(X32,X33),k7_xcmplx_0(X31,X33)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t72_xreal_1])])])).
cnf(c_0_31, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_33, plain, (v1_xxreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_34, plain, (r1_xxreal_0(X1,X2)|v2_xxreal_0(X1)|~v2_xxreal_0(X2)|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])).
cnf(c_0_35, negated_conjecture, (v2_xxreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_36, negated_conjecture, (v1_xreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_37, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_38, plain, (r1_xxreal_0(k7_xcmplx_0(X2,X3),k7_xcmplx_0(X1,X3))|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X3)|~r1_xxreal_0(k5_numbers,X3)|~r1_xxreal_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_39, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_40, plain, (~v2_xxreal_0(k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])])).
cnf(c_0_41, negated_conjecture, (r1_xxreal_0(X1,esk2_0)|v2_xxreal_0(X1)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])])).
cnf(c_0_42, plain, (v1_xreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_37, c_0_24])).
cnf(c_0_43, plain, (r1_xxreal_0(k7_xcmplx_0(X1,X2),k7_xcmplx_0(X3,X2))|~r1_xxreal_0(k5_ordinal1,X2)|~r1_xxreal_0(X1,X3)|~v1_xreal_0(X2)|~v1_xreal_0(X1)|~v1_xreal_0(X3)), inference(rw,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_44, negated_conjecture, (r1_xxreal_0(k5_ordinal1,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
fof(c_0_45, plain, ![X24]:(~v1_int_1(X24)|v1_xreal_0(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
fof(c_0_46, plain, ![X30]:(~v1_xreal_0(X30)|v1_int_1(k1_int_1(X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_int_1])])).
fof(c_0_47, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_int_1(X2)=>(X2=k1_int_1(X1)<=>(r1_xxreal_0(X2,X1)&~r1_xxreal_0(X2,k6_xcmplx_0(X1,np__1)))))), inference(fof_simplification,[status(thm)],[d6_int_1])).
cnf(c_0_48, negated_conjecture, (~r1_xxreal_0(k7_xcmplx_0(k1_int_1(esk1_0),esk2_0),k7_xcmplx_0(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_49, negated_conjecture, (r1_xxreal_0(k7_xcmplx_0(X1,esk2_0),k7_xcmplx_0(X2,esk2_0))|~r1_xxreal_0(X1,X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_36])])).
cnf(c_0_50, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_51, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_52, plain, (v1_int_1(k1_int_1(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_53, plain, ![X28, X29]:(((r1_xxreal_0(X29,X28)|X29!=k1_int_1(X28)|~v1_int_1(X29)|~v1_xreal_0(X28))&(~r1_xxreal_0(X29,k6_xcmplx_0(X28,np__1))|X29!=k1_int_1(X28)|~v1_int_1(X29)|~v1_xreal_0(X28)))&(~r1_xxreal_0(X29,X28)|r1_xxreal_0(X29,k6_xcmplx_0(X28,np__1))|X29=k1_int_1(X28)|~v1_int_1(X29)|~v1_xreal_0(X28))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])).
cnf(c_0_54, negated_conjecture, (~r1_xxreal_0(k1_int_1(esk1_0),esk1_0)|~v1_xreal_0(k1_int_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])])).
cnf(c_0_55, plain, (v1_xreal_0(k1_int_1(X1))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_56, plain, (r1_xxreal_0(X1,X2)|X1!=k1_int_1(X2)|~v1_int_1(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_57, negated_conjecture, (~r1_xxreal_0(k1_int_1(esk1_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_50])])).
cnf(c_0_58, plain, (r1_xxreal_0(k1_int_1(X1),X1)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_56]), c_0_52])).
cnf(c_0_59, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_50])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 60
# Proof object clause steps            : 30
# Proof object formula steps           : 30
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 18
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 24
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 22
# Processed clauses                    : 71
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 66
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 52
# ...of the previous two non-trivial   : 47
# Contextual simplify-reflections      : 4
# Paramodulations                      : 48
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 43
#    Positive orientable unit clauses  : 12
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 28
# Current number of unprocessed clauses: 18
# ...number of literals in the above   : 103
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 616
# Rec. Clause-clause subsumption calls : 223
# Non-unit clause-clause subsumptions  : 9
# Unit Clause-clause subsumption calls : 11
# 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          : 2460

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.007 s
# Total time               : 0.026 s
# Maximum resident set size: 3500 pages
