# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d9_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)=>k3_xxreal_0(X1,X2)=X1)&(~(r1_xxreal_0(X1,X2))=>k3_xxreal_0(X1,X2)=X2)))), file('newton07/newton07__t8_newton07', d9_xxreal_0)).
fof(redefinition_k1_newton04, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k1_newton04(X1,X2)=k3_xxreal_0(X1,X2)), file('newton07/newton07__t8_newton07', redefinition_k1_newton04)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('newton07/newton07__t8_newton07', cc2_xxreal_0)).
fof(t8_newton07, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r1_xxreal_0(k3_xcmplx_0(np__2,X1),X2)=>r1_nat_d(k1_newton(np__2,X1),k7_newton(X2))))), file('newton07/newton07__t8_newton07', t8_newton07)).
fof(t9_int_2, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>((r1_int_1(X1,X2)&r1_int_1(X2,X3))=>r1_int_1(X1,X3))))), file('newton07/newton07__t8_newton07', t9_int_2)).
fof(redefinition_r1_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>(r1_nat_d(X1,X2)<=>r1_int_1(X1,X2))), file('newton07/newton07__t8_newton07', redefinition_r1_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton07/newton07__t8_newton07', cc2_int_1)).
fof(t6_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>r1_nat_d(k7_newton(k1_newton04(X1,X2)),k7_newton(X1)))), file('newton07/newton07__t8_newton07', t6_newton07)).
fof(commutativity_k1_newton04, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k1_newton04(X1,X2)=k1_newton04(X2,X1)), file('newton07/newton07__t8_newton07', commutativity_k1_newton04)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t8_newton07', cc8_ordinal1)).
fof(dt_k7_newton, axiom, ![X1]:(v7_ordinal1(X1)=>m1_subset_1(k7_newton(X1),k4_ordinal1)), file('newton07/newton07__t8_newton07', dt_k7_newton)).
fof(t7_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>r1_nat_d(k1_newton(k7_newton(X1),X2),k7_newton(k3_xcmplx_0(X1,X2))))), file('newton07/newton07__t8_newton07', t7_newton07)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('newton07/newton07__t8_newton07', spc2_numerals)).
fof(rd3_newton07, axiom, k7_newton(np__2)=np__2, file('newton07/newton07__t8_newton07', rd3_newton07)).
fof(fc4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k1_newton(X1,X2))), file('newton07/newton07__t8_newton07', fc4_newton)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('newton07/newton07__t8_newton07', fc2_nat_1)).
fof(c_0_16, plain, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)=>k3_xxreal_0(X1,X2)=X1)&(~r1_xxreal_0(X1,X2)=>k3_xxreal_0(X1,X2)=X2)))), inference(fof_simplification,[status(thm)],[d9_xxreal_0])).
fof(c_0_17, plain, ![X43, X44]:(~v7_ordinal1(X43)|~v7_ordinal1(X44)|k1_newton04(X43,X44)=k3_xxreal_0(X43,X44)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_newton04])])).
fof(c_0_18, plain, ![X36, X37]:((~r1_xxreal_0(X36,X37)|k3_xxreal_0(X36,X37)=X36|~v1_xxreal_0(X37)|~v1_xxreal_0(X36))&(r1_xxreal_0(X36,X37)|k3_xxreal_0(X36,X37)=X37|~v1_xxreal_0(X37)|~v1_xxreal_0(X36))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])).
fof(c_0_19, plain, ![X32]:(~v7_ordinal1(X32)|v1_xxreal_0(X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_20, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r1_xxreal_0(k3_xcmplx_0(np__2,X1),X2)=>r1_nat_d(k1_newton(np__2,X1),k7_newton(X2)))))), inference(assume_negation,[status(cth)],[t8_newton07])).
fof(c_0_21, plain, ![X51, X52, X53]:(~v1_int_1(X51)|(~v1_int_1(X52)|(~v1_int_1(X53)|(~r1_int_1(X51,X52)|~r1_int_1(X52,X53)|r1_int_1(X51,X53))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_int_2])])])).
fof(c_0_22, plain, ![X45, X46]:((~r1_nat_d(X45,X46)|r1_int_1(X45,X46)|(~v7_ordinal1(X45)|~v7_ordinal1(X46)))&(~r1_int_1(X45,X46)|r1_nat_d(X45,X46)|(~v7_ordinal1(X45)|~v7_ordinal1(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_nat_d])])])).
fof(c_0_23, plain, ![X31]:(~v7_ordinal1(X31)|v1_int_1(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_24, plain, ![X47, X48]:(~v7_ordinal1(X47)|(~v7_ordinal1(X48)|r1_nat_d(k7_newton(k1_newton04(X47,X48)),k7_newton(X47)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_newton07])])])).
fof(c_0_25, plain, ![X34, X35]:(~v7_ordinal1(X34)|~v7_ordinal1(X35)|k1_newton04(X34,X35)=k1_newton04(X35,X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k1_newton04])])).
cnf(c_0_26, plain, (k1_newton04(X1,X2)=k3_xxreal_0(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_27, plain, (k3_xxreal_0(X1,X2)=X1|~r1_xxreal_0(X1,X2)|~v1_xxreal_0(X2)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_29, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&(r1_xxreal_0(k3_xcmplx_0(np__2,esk1_0),esk2_0)&~r1_nat_d(k1_newton(np__2,esk1_0),k7_newton(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
cnf(c_0_30, plain, (r1_int_1(X1,X3)|~v1_int_1(X1)|~v1_int_1(X2)|~v1_int_1(X3)|~r1_int_1(X1,X2)|~r1_int_1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (r1_int_1(X1,X2)|~r1_nat_d(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, plain, (r1_nat_d(k7_newton(k1_newton04(X1,X2)),k7_newton(X1))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_34, plain, (k1_newton04(X1,X2)=k1_newton04(X2,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_35, plain, (k1_newton04(X1,X2)=X1|~r1_xxreal_0(X1,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28]), c_0_28])).
cnf(c_0_36, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(np__2,esk1_0),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_37, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_29])).
fof(c_0_38, plain, ![X33]:(~m1_subset_1(X33,k4_ordinal1)|v7_ordinal1(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_39, plain, ![X38]:(~v7_ordinal1(X38)|m1_subset_1(k7_newton(X38),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_newton])])).
cnf(c_0_40, plain, (r1_int_1(X1,X2)|~r1_int_1(X1,X3)|~v1_int_1(X1)|~r1_nat_d(X3,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_32])).
cnf(c_0_41, plain, (r1_nat_d(k7_newton(k1_newton04(X1,X2)),k7_newton(X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_42, negated_conjecture, (k1_newton04(k3_xcmplx_0(np__2,esk1_0),esk2_0)=k3_xcmplx_0(np__2,esk1_0)|~v7_ordinal1(k3_xcmplx_0(np__2,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])).
cnf(c_0_43, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_44, plain, (m1_subset_1(k7_newton(X1),k4_ordinal1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_45, plain, (r1_int_1(X1,X2)|~r1_nat_d(X3,X2)|~r1_nat_d(X1,X3)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_31]), c_0_32])).
cnf(c_0_46, negated_conjecture, (r1_nat_d(k7_newton(k3_xcmplx_0(np__2,esk1_0)),k7_newton(esk2_0))|~v7_ordinal1(k3_xcmplx_0(np__2,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_37])])).
cnf(c_0_47, plain, (v7_ordinal1(k7_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
fof(c_0_48, plain, ![X49, X50]:(~v7_ordinal1(X49)|(~v7_ordinal1(X50)|r1_nat_d(k1_newton(k7_newton(X49),X50),k7_newton(k3_xcmplx_0(X49,X50))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_newton07])])])).
cnf(c_0_49, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_50, negated_conjecture, (r1_int_1(X1,k7_newton(esk2_0))|~r1_nat_d(X1,k7_newton(k3_xcmplx_0(np__2,esk1_0)))|~v7_ordinal1(k3_xcmplx_0(np__2,esk1_0))|~v7_ordinal1(k7_newton(esk2_0))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])).
cnf(c_0_51, plain, (r1_nat_d(k1_newton(k7_newton(X1),X2),k7_newton(k3_xcmplx_0(X1,X2)))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_52, plain, (k7_newton(np__2)=np__2), inference(split_conjunct,[status(thm)],[rd3_newton07])).
cnf(c_0_53, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_54, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_43, c_0_49])).
cnf(c_0_55, plain, (r1_nat_d(X1,X2)|~r1_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_56, negated_conjecture, (r1_int_1(k1_newton(np__2,esk1_0),k7_newton(esk2_0))|~v7_ordinal1(k3_xcmplx_0(np__2,esk1_0))|~v7_ordinal1(k1_newton(np__2,esk1_0))|~v7_ordinal1(k7_newton(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_52]), c_0_53]), c_0_54])])).
cnf(c_0_57, negated_conjecture, (~r1_nat_d(k1_newton(np__2,esk1_0),k7_newton(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_29])).
fof(c_0_58, plain, ![X41, X42]:(~v7_ordinal1(X41)|~v7_ordinal1(X42)|v7_ordinal1(k1_newton(X41,X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_newton])])).
cnf(c_0_59, negated_conjecture, (~v7_ordinal1(k1_newton(np__2,esk1_0))|~v7_ordinal1(k3_xcmplx_0(np__2,esk1_0))|~v7_ordinal1(k7_newton(esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])).
cnf(c_0_60, plain, (v7_ordinal1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
fof(c_0_61, plain, ![X39, X40]:(~v7_ordinal1(X39)|~v7_ordinal1(X40)|v7_ordinal1(k3_xcmplx_0(X39,X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_62, negated_conjecture, (~v7_ordinal1(k3_xcmplx_0(np__2,esk1_0))|~v7_ordinal1(k7_newton(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_53]), c_0_54])])).
cnf(c_0_63, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_64, negated_conjecture, (~v7_ordinal1(k7_newton(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_53]), c_0_54])])).
cnf(c_0_65, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_47]), c_0_37])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 66
# Proof object clause steps            : 34
# Proof object formula steps           : 32
# 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   : 16
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 24
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 1461
# ...of these trivial                  : 9
# ...subsumed                          : 459
# ...remaining for further processing  : 993
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 274
# Backward-rewritten                   : 5
# Generated clauses                    : 3111
# ...of the previous two non-trivial   : 2812
# Contextual simplify-reflections      : 45
# Paramodulations                      : 3093
# Factorizations                       : 18
# 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  : 692
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 676
# Current number of unprocessed clauses: 1385
# ...number of literals in the above   : 6977
# Current number of archived formulas  : 0
# Current number of archived clauses   : 301
# Clause-clause subsumption calls (NU) : 22827
# Rec. Clause-clause subsumption calls : 9620
# Non-unit clause-clause subsumptions  : 778
# Unit Clause-clause subsumption calls : 308
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 62760

# -------------------------------------------------
# User time                : 0.092 s
# System time              : 0.014 s
# Total time               : 0.106 s
# Maximum resident set size: 3076 pages
