# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc25_newton06, axiom, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>(v1_int_1(k1_int_1(X1))&~(v3_xxreal_0(k1_int_1(X1))))), file('newton06/newton06__t5_newton06', fc25_newton06)).
fof(fc28_newton06, axiom, ![X1]:((v1_xreal_0(X1)&v3_xxreal_0(X1))=>(v1_int_1(k1_int_1(X1))&v3_xxreal_0(k1_int_1(X1)))), file('newton06/newton06__t5_newton06', fc28_newton06)).
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__t5_newton06', t8_real)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('newton06/newton06__t5_newton06', cc4_nat_1)).
fof(t118_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(X1,X2))=>(r1_xxreal_0(X1,k5_numbers)|r1_xxreal_0(k7_xcmplx_0(X3,X2),k7_xcmplx_0(X3,X1))))))), file('newton06/newton06__t5_newton06', t118_xreal_1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t5_newton06', cc2_xreal_0)).
fof(t5_newton06, conjecture, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:(((v1_xreal_0(X2)&v2_xxreal_0(X2))&v1_complex3(X2))=>r1_xxreal_0(k7_xcmplx_0(X1,X2),k7_xcmplx_0(X1,k1_int_1(X2))))), file('newton06/newton06__t5_newton06', t5_newton06)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton06/newton06__t5_newton06', redefinition_k5_numbers)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton06/newton06__t5_newton06', fc8_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('newton06/newton06__t5_newton06', fc9_ordinal1)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t5_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__t5_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__t5_newton06', d6_int_1)).
fof(t4_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((r1_xxreal_0(X1,X2)&~(v2_xxreal_0(X2)))&v2_xxreal_0(X1))))), file('newton06/newton06__t5_newton06', t4_real)).
fof(fc27_newton06, axiom, ![X1]:(((v1_xreal_0(X1)&v2_xxreal_0(X1))&v1_complex3(X1))=>(v1_int_1(k1_int_1(X1))&v2_xxreal_0(k1_int_1(X1)))), file('newton06/newton06__t5_newton06', fc27_newton06)).
fof(c_0_15, plain, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>(v1_int_1(k1_int_1(X1))&~v3_xxreal_0(k1_int_1(X1)))), inference(fof_simplification,[status(thm)],[fc25_newton06])).
fof(c_0_16, plain, ![X30]:((v1_int_1(k1_int_1(X30))|(~v1_xreal_0(X30)|~v2_xxreal_0(X30)))&(~v3_xxreal_0(k1_int_1(X30))|(~v1_xreal_0(X30)|~v2_xxreal_0(X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_17, plain, ![X32]:((v1_int_1(k1_int_1(X32))|(~v1_xreal_0(X32)|~v3_xxreal_0(X32)))&(v3_xxreal_0(k1_int_1(X32))|(~v1_xreal_0(X32)|~v3_xxreal_0(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc28_newton06])])])).
fof(c_0_18, 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_19, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_20, plain, ![X33, X34, X35]:(~v1_xreal_0(X33)|(~v1_xreal_0(X34)|(~v1_xreal_0(X35)|(~r1_xxreal_0(k5_numbers,X35)|~r1_xxreal_0(X33,X34)|(r1_xxreal_0(X33,k5_numbers)|r1_xxreal_0(k7_xcmplx_0(X35,X34),k7_xcmplx_0(X35,X33))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_xreal_1])])])).
cnf(c_0_21, plain, (~v3_xxreal_0(k1_int_1(X1))|~v1_xreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, plain, (v3_xxreal_0(k1_int_1(X1))|~v1_xreal_0(X1)|~v3_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_23, plain, ![X38, X39]:(~v1_xreal_0(X38)|(~v1_xreal_0(X39)|(r1_xxreal_0(X38,X39)|v3_xxreal_0(X39)|v2_xxreal_0(X38)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_24, plain, ![X24]:(~v7_ordinal1(X24)|v1_xreal_0(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_25, plain, ![X26]:((v7_ordinal1(X26)|(~v7_ordinal1(X26)|~v8_ordinal1(X26)))&(~v2_xxreal_0(X26)|(~v7_ordinal1(X26)|~v8_ordinal1(X26)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_26, negated_conjecture, ~(![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:(((v1_xreal_0(X2)&v2_xxreal_0(X2))&v1_complex3(X2))=>r1_xxreal_0(k7_xcmplx_0(X1,X2),k7_xcmplx_0(X1,k1_int_1(X2)))))), inference(assume_negation,[status(cth)],[t5_newton06])).
cnf(c_0_27, plain, (r1_xxreal_0(X1,k5_numbers)|r1_xxreal_0(k7_xcmplx_0(X3,X2),k7_xcmplx_0(X3,X1))|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X3)|~r1_xxreal_0(k5_numbers,X3)|~r1_xxreal_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_29, plain, (~v3_xxreal_0(X1)|~v2_xxreal_0(X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_30, 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_23])).
cnf(c_0_31, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_33, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_34, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
fof(c_0_35, negated_conjecture, ((v1_xreal_0(esk1_0)&v2_xxreal_0(esk1_0))&(((v1_xreal_0(esk2_0)&v2_xxreal_0(esk2_0))&v1_complex3(esk2_0))&~r1_xxreal_0(k7_xcmplx_0(esk1_0,esk2_0),k7_xcmplx_0(esk1_0,k1_int_1(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
cnf(c_0_36, plain, (r1_xxreal_0(k7_xcmplx_0(X1,X2),k7_xcmplx_0(X1,X3))|r1_xxreal_0(X3,k5_ordinal1)|~r1_xxreal_0(k5_ordinal1,X1)|~r1_xxreal_0(X3,X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28]), c_0_28])).
cnf(c_0_37, plain, (r1_xxreal_0(X1,X2)|v2_xxreal_0(X1)|~v2_xxreal_0(X2)|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_38, plain, (v1_xreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_39, plain, (~v2_xxreal_0(k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_32])])).
fof(c_0_40, plain, ![X25]:(~v1_int_1(X25)|v1_xreal_0(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
fof(c_0_41, plain, ![X29]:(~v1_xreal_0(X29)|v1_int_1(k1_int_1(X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_int_1])])).
fof(c_0_42, 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_43, negated_conjecture, (~r1_xxreal_0(k7_xcmplx_0(esk1_0,esk2_0),k7_xcmplx_0(esk1_0,k1_int_1(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_44, plain, (r1_xxreal_0(k7_xcmplx_0(X1,X2),k7_xcmplx_0(X1,X3))|r1_xxreal_0(X3,k5_ordinal1)|~r1_xxreal_0(X3,X2)|~v2_xxreal_0(X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X3)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])]), c_0_39])).
cnf(c_0_45, negated_conjecture, (v2_xxreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_46, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_47, negated_conjecture, (v1_xreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_48, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_49, plain, (v1_int_1(k1_int_1(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_50, plain, ![X27, X28]:(((r1_xxreal_0(X28,X27)|X28!=k1_int_1(X27)|~v1_int_1(X28)|~v1_xreal_0(X27))&(~r1_xxreal_0(X28,k6_xcmplx_0(X27,np__1))|X28!=k1_int_1(X27)|~v1_int_1(X28)|~v1_xreal_0(X27)))&(~r1_xxreal_0(X28,X27)|r1_xxreal_0(X28,k6_xcmplx_0(X27,np__1))|X28=k1_int_1(X27)|~v1_int_1(X28)|~v1_xreal_0(X27))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])).
fof(c_0_51, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((r1_xxreal_0(X1,X2)&~v2_xxreal_0(X2))&v2_xxreal_0(X1))))), inference(fof_simplification,[status(thm)],[t4_real])).
cnf(c_0_52, negated_conjecture, (r1_xxreal_0(k1_int_1(esk2_0),k5_ordinal1)|~r1_xxreal_0(k1_int_1(esk2_0),esk2_0)|~v1_xreal_0(k1_int_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46]), c_0_47])])).
cnf(c_0_53, plain, (v1_xreal_0(k1_int_1(X1))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_54, 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_50])).
fof(c_0_55, plain, ![X31]:((v1_int_1(k1_int_1(X31))|(~v1_xreal_0(X31)|~v2_xxreal_0(X31)|~v1_complex3(X31)))&(v2_xxreal_0(k1_int_1(X31))|(~v1_xreal_0(X31)|~v2_xxreal_0(X31)|~v1_complex3(X31)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc27_newton06])])])).
fof(c_0_56, plain, ![X36, X37]:(~v1_xreal_0(X36)|(~v1_xreal_0(X37)|(~r1_xxreal_0(X36,X37)|v2_xxreal_0(X37)|~v2_xxreal_0(X36)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])).
cnf(c_0_57, negated_conjecture, (r1_xxreal_0(k1_int_1(esk2_0),k5_ordinal1)|~r1_xxreal_0(k1_int_1(esk2_0),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_47])])).
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_54]), c_0_49])).
cnf(c_0_59, plain, (v2_xxreal_0(k1_int_1(X1))|~v1_xreal_0(X1)|~v2_xxreal_0(X1)|~v1_complex3(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_60, negated_conjecture, (v1_complex3(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_61, negated_conjecture, (v2_xxreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_62, plain, (v2_xxreal_0(X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~r1_xxreal_0(X1,X2)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_63, negated_conjecture, (r1_xxreal_0(k1_int_1(esk2_0),k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_47])])).
cnf(c_0_64, negated_conjecture, (v2_xxreal_0(k1_int_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61]), c_0_47])])).
cnf(c_0_65, negated_conjecture, (~v1_xreal_0(k1_int_1(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64]), c_0_38])]), c_0_39])).
cnf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_53]), c_0_47])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 67
# Proof object clause steps            : 34
# Proof object formula steps           : 33
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 26
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 25
# Processed clauses                    : 76
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 73
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 42
# ...of the previous two non-trivial   : 32
# Contextual simplify-reflections      : 10
# Paramodulations                      : 40
# Factorizations                       : 0
# 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  : 47
#    Positive orientable unit clauses  : 11
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 32
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 20
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 886
# Rec. Clause-clause subsumption calls : 148
# Non-unit clause-clause subsumptions  : 14
# Unit Clause-clause subsumption calls : 27
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3222

# -------------------------------------------------
# User time                : 0.026 s
# System time              : 0.002 s
# Total time               : 0.028 s
# Maximum resident set size: 3572 pages
