# 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(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__t29_newton07', commutativity_k2_xcmplx_0)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t29_newton07', cc1_xcmplx_0)).
fof(t29_newton07, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>k4_nat_d(k4_newton(np__1,k1_nat_1(k3_xcmplx_0(X1,X2),np__1)),X2)=k4_nat_d(np__1,X2))), file('newton07/newton07__t29_newton07', t29_newton07)).
fof(t1_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k2_xcmplx_0(X1,k5_numbers)=X1), file('newton07/newton07__t29_newton07', t1_arithm)).
fof(rd4_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>k4_newton(np__1,X1)=X1), file('newton07/newton07__t29_newton07', rd4_newton07)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton07/newton07__t29_newton07', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton07/newton07__t29_newton07', redefinition_k5_numbers)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t29_newton07', cc8_ordinal1)).
fof(dt_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)), file('newton07/newton07__t29_newton07', dt_k1_nat_1)).
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__t29_newton07', redefinition_k4_nat_d)).
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__t29_newton07', rd7_newton02)).
fof(redefinition_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)), file('newton07/newton07__t29_newton07', redefinition_k1_nat_1)).
fof(t66_nat_d, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>k5_int_1(k2_xcmplx_0(X2,X3),X1)=k5_int_1(k2_xcmplx_0(k5_int_1(X2,X1),k5_int_1(X3,X1)),X1)))), file('newton07/newton07__t29_newton07', t66_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton07/newton07__t29_newton07', cc2_int_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t29_newton07', spc1_numerals)).
fof(rd6_newton02, axiom, ![X1]:(v1_int_1(X1)=>k5_int_1(k5_numbers,X1)=k5_numbers), file('newton07/newton07__t29_newton07', rd6_newton02)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('newton07/newton07__t29_newton07', fc2_nat_1)).
fof(c_0_17, plain, ![X32, X33]:(~v1_xcmplx_0(X32)|~v1_xcmplx_0(X33)|k2_xcmplx_0(X32,X33)=k2_xcmplx_0(X33,X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
fof(c_0_18, plain, ![X29]:(~v7_ordinal1(X29)|v1_xcmplx_0(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
fof(c_0_19, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>k4_nat_d(k4_newton(np__1,k1_nat_1(k3_xcmplx_0(X1,X2),np__1)),X2)=k4_nat_d(np__1,X2)))), inference(assume_negation,[status(cth)],[t29_newton07])).
fof(c_0_20, plain, ![X46]:(~v1_xcmplx_0(X46)|k2_xcmplx_0(X46,k5_numbers)=X46), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_arithm])])).
cnf(c_0_21, 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_17])).
cnf(c_0_22, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_23, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&k4_nat_d(k4_newton(np__1,k1_nat_1(k3_xcmplx_0(esk1_0,esk2_0),np__1)),esk2_0)!=k4_nat_d(np__1,esk2_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_24, plain, ![X38]:(~v7_ordinal1(X38)|k4_newton(np__1,X38)=X38), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd4_newton07])])).
cnf(c_0_25, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_26, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_27, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_28, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_29, plain, ![X31]:(~m1_subset_1(X31,k4_ordinal1)|v7_ordinal1(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_30, plain, ![X34, X35]:(~v7_ordinal1(X34)|~m1_subset_1(X35,k4_ordinal1)|m1_subset_1(k1_nat_1(X34,X35),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_nat_1])])).
cnf(c_0_31, negated_conjecture, (k4_nat_d(k4_newton(np__1,k1_nat_1(k3_xcmplx_0(esk1_0,esk2_0),np__1)),esk2_0)!=k4_nat_d(np__1,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_32, plain, (k4_newton(np__1,X1)=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_33, plain, ![X44, X45]:(~v7_ordinal1(X44)|~v7_ordinal1(X45)|k4_nat_d(X44,X45)=k5_int_1(X44,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
fof(c_0_34, plain, ![X40, X41]:(~v1_int_1(X40)|~v1_int_1(X41)|k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X40,X41)),X41)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd7_newton02])])).
cnf(c_0_35, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_25, c_0_22])).
cnf(c_0_36, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_26, c_0_22])).
cnf(c_0_37, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_38, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_40, plain, ![X42, X43]:(~v7_ordinal1(X42)|~m1_subset_1(X43,k4_ordinal1)|k1_nat_1(X42,X43)=k2_xcmplx_0(X42,X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
cnf(c_0_41, negated_conjecture, (k4_nat_d(k1_nat_1(k3_xcmplx_0(esk1_0,esk2_0),np__1),esk2_0)!=k4_nat_d(np__1,esk2_0)|~v7_ordinal1(k1_nat_1(k3_xcmplx_0(esk1_0,esk2_0),np__1))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_42, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_43, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_44, plain, ![X47, X48, X49]:(~v1_int_1(X47)|(~v1_int_1(X48)|(~v1_int_1(X49)|k5_int_1(k2_xcmplx_0(X48,X49),X47)=k5_int_1(k2_xcmplx_0(k5_int_1(X48,X47),k5_int_1(X49,X47)),X47)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t66_nat_d])])])).
cnf(c_0_45, 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_34])).
cnf(c_0_46, plain, (k2_xcmplx_0(k5_numbers,X1)=X1|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])).
fof(c_0_47, plain, ![X30]:(~v7_ordinal1(X30)|v1_int_1(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_48, plain, (v7_ordinal1(k1_nat_1(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_49, plain, (k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_50, negated_conjecture, (k5_int_1(k1_nat_1(k3_xcmplx_0(esk1_0,esk2_0),np__1),esk2_0)!=k4_nat_d(np__1,esk2_0)|~v7_ordinal1(k1_nat_1(k3_xcmplx_0(esk1_0,esk2_0),np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])])).
cnf(c_0_51, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_52, plain, (k5_int_1(k2_xcmplx_0(X2,X3),X1)=k5_int_1(k2_xcmplx_0(k5_int_1(X2,X1),k5_int_1(X3,X1)),X1)|~v1_int_1(X1)|~v1_int_1(X2)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_53, plain, (k5_int_1(k3_xcmplx_0(X1,X2),X2)=k5_numbers|~v1_int_1(X2)|~v1_int_1(X1)|~v7_ordinal1(k3_xcmplx_0(X1,X2))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_54, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_55, plain, (v7_ordinal1(k2_xcmplx_0(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
fof(c_0_56, plain, ![X39]:(~v1_int_1(X39)|k5_int_1(k5_numbers,X39)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd6_newton02])])).
cnf(c_0_57, negated_conjecture, (k5_int_1(k2_xcmplx_0(k3_xcmplx_0(esk1_0,esk2_0),np__1),esk2_0)!=k4_nat_d(np__1,esk2_0)|~v7_ordinal1(k2_xcmplx_0(k3_xcmplx_0(esk1_0,esk2_0),np__1))|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_49]), c_0_51])])).
cnf(c_0_58, plain, (k5_int_1(k2_xcmplx_0(k3_xcmplx_0(X1,X2),X3),X2)=k5_int_1(k2_xcmplx_0(k5_numbers,k5_int_1(X3,X2)),X2)|~v1_int_1(X3)|~v1_int_1(X2)|~v1_int_1(X1)|~v7_ordinal1(k3_xcmplx_0(X1,X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])).
cnf(c_0_59, plain, (v7_ordinal1(k2_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_55, c_0_51])).
cnf(c_0_60, plain, (k5_int_1(k5_numbers,X1)=k5_numbers|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_61, negated_conjecture, (k5_int_1(k2_xcmplx_0(k5_numbers,k5_int_1(np__1,esk2_0)),esk2_0)!=k4_nat_d(np__1,esk2_0)|~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v1_int_1(esk1_0)|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])).
cnf(c_0_62, plain, (k5_int_1(k2_xcmplx_0(k5_numbers,k5_int_1(X1,X2)),X2)=k5_int_1(k2_xcmplx_0(k5_numbers,X1),X2)|~v1_int_1(k5_numbers)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_52, c_0_60])).
fof(c_0_63, plain, ![X36, X37]:(~v7_ordinal1(X36)|~v7_ordinal1(X37)|v7_ordinal1(k3_xcmplx_0(X36,X37))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_64, negated_conjecture, (k4_nat_d(np__1,esk2_0)!=k5_int_1(k2_xcmplx_0(k5_numbers,np__1),esk2_0)|~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v1_int_1(esk1_0)|~v1_int_1(k5_numbers)|~v7_ordinal1(k3_xcmplx_0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
cnf(c_0_65, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_66, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_67, negated_conjecture, (k4_nat_d(np__1,esk2_0)!=k5_int_1(k2_xcmplx_0(k5_numbers,np__1),esk2_0)|~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v1_int_1(esk1_0)|~v1_int_1(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_43]), c_0_66])])).
cnf(c_0_68, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_38, c_0_51])).
cnf(c_0_69, negated_conjecture, (k5_int_1(k2_xcmplx_0(k5_numbers,np__1),esk2_0)!=k5_int_1(np__1,esk2_0)|~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v1_int_1(esk1_0)|~v1_int_1(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_42]), c_0_43]), c_0_68])])).
cnf(c_0_70, negated_conjecture, (~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v1_int_1(esk1_0)|~v1_int_1(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_46]), c_0_68])])).
cnf(c_0_71, negated_conjecture, (~v1_int_1(np__1)|~v1_int_1(esk2_0)|~v1_int_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_54]), c_0_37])])).
cnf(c_0_72, negated_conjecture, (~v1_int_1(esk2_0)|~v1_int_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_54]), c_0_68])])).
cnf(c_0_73, negated_conjecture, (~v1_int_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_54]), c_0_66])])).
cnf(c_0_74, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_54]), c_0_43])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 75
# Proof object clause steps            : 43
# Proof object formula steps           : 32
# Proof object conjectures             : 18
# Proof object clause conjectures      : 15
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 23
# Proof object simplifying inferences  : 25
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 20
# Processed clauses                    : 675
# ...of these trivial                  : 16
# ...subsumed                          : 409
# ...remaining for further processing  : 250
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 22
# Backward-rewritten                   : 5
# Generated clauses                    : 14262
# ...of the previous two non-trivial   : 14160
# Contextual simplify-reflections      : 20
# Paramodulations                      : 14262
# 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  : 203
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 186
# Current number of unprocessed clauses: 13363
# ...number of literals in the above   : 139369
# Current number of archived formulas  : 0
# Current number of archived clauses   : 47
# Clause-clause subsumption calls (NU) : 15022
# Rec. Clause-clause subsumption calls : 5097
# Non-unit clause-clause subsumptions  : 451
# Unit Clause-clause subsumption calls : 84
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 783602

# -------------------------------------------------
# User time                : 0.398 s
# System time              : 0.008 s
# Total time               : 0.406 s
# Maximum resident set size: 3604 pages
