# 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(rd40_newton04, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k1_funct_1(k6_newton(X1),X1)=X1), file('newton07/newton07__t61_newton07', rd40_newton04)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t61_newton07', cc8_ordinal1)).
fof(cc3_xxreal_0, axiom, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))), file('newton07/newton07__t61_newton07', cc3_xxreal_0)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('newton07/newton07__t61_newton07', spc3_numerals)).
fof(rd39_newton04, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k1_funct_1(k6_newton(X1),np__2)=X1), file('newton07/newton07__t61_newton07', rd39_newton04)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('newton07/newton07__t61_newton07', cc2_xxreal_0)).
fof(rd43_newton04, axiom, ![X1]:(v7_ordinal1(X1)=>k1_funct_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))=np__1), file('newton07/newton07__t61_newton07', rd43_newton04)).
fof(fc36_newton04, axiom, ![X1]:(v7_ordinal1(X1)=>v3_card_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))), file('newton07/newton07__t61_newton07', fc36_newton04)).
fof(redefinition_k9_finseq_4, axiom, ![X1, X2, X3, X4, X5]:(((((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))&m1_subset_1(X5,X1))=>k9_finseq_4(X1,X2,X3,X4,X5)=k7_finseq_4(X2,X3,X4,X5)), file('newton07/newton07__t61_newton07', redefinition_k9_finseq_4)).
fof(rd11_newton07, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v3_card_1(X1,np__4))&v1_finseq_1(X1))=>k7_finseq_4(k1_funct_1(X1,np__1),k1_funct_1(X1,np__2),k1_funct_1(X1,np__3),k1_funct_1(X1,np__4))=X1), file('newton07/newton07__t61_newton07', rd11_newton07)).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(np__3,np__1)=np__4, file('newton07/newton07__t61_newton07', rqRealAdd__k2_xcmplx_0__r3_r1_r4)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('newton07/newton07__t61_newton07', fc6_ordinal1)).
fof(rd42_newton04, axiom, ![X1]:(v7_ordinal1(X1)=>k1_funct_1(k6_newton(X1),np__1)=np__1), file('newton07/newton07__t61_newton07', rd42_newton04)).
fof(t61_newton07, conjecture, k6_newton(np__3)=k9_finseq_4(k4_ordinal1,np__1,np__3,np__3,np__1), file('newton07/newton07__t61_newton07', t61_newton07)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t61_newton07', spc1_numerals)).
fof(dt_m1_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))), file('newton07/newton07__t61_newton07', dt_m1_finseq_1)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('newton07/newton07__t61_newton07', redefinition_m2_finseq_1)).
fof(dt_k6_newton, axiom, ![X1]:(v7_ordinal1(X1)=>m2_finseq_1(k6_newton(X1),k1_numbers)), file('newton07/newton07__t61_newton07', dt_k6_newton)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('newton07/newton07__t61_newton07', dt_m2_finseq_1)).
fof(c_0_19, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k1_funct_1(k6_newton(X1),X1)=X1), inference(fof_simplification,[status(thm)],[rd40_newton04])).
fof(c_0_20, plain, ![X29]:(~m1_subset_1(X29,k4_ordinal1)|v7_ordinal1(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_21, plain, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_xxreal_0])).
fof(c_0_22, plain, ![X38]:(~v7_ordinal1(X38)|v8_ordinal1(X38)|k1_funct_1(k6_newton(X38),X38)=X38), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
cnf(c_0_23, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_24, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
fof(c_0_25, plain, ![X28]:(((~v8_ordinal1(X28)|(~v1_xxreal_0(X28)|~v2_xxreal_0(X28)))&(v1_xxreal_0(X28)|(~v1_xxreal_0(X28)|~v2_xxreal_0(X28))))&(~v3_xxreal_0(X28)|(~v1_xxreal_0(X28)|~v2_xxreal_0(X28)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
cnf(c_0_26, plain, (v8_ordinal1(X1)|k1_funct_1(k6_newton(X1),X1)=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_27, plain, (v7_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
fof(c_0_28, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k1_funct_1(k6_newton(X1),np__2)=X1), inference(fof_simplification,[status(thm)],[rd39_newton04])).
cnf(c_0_29, plain, (~v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_30, plain, (k1_funct_1(k6_newton(np__3),np__3)=np__3|v8_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_31, plain, (v2_xxreal_0(np__3)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
fof(c_0_32, plain, ![X27]:(~v7_ordinal1(X27)|v1_xxreal_0(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_33, plain, ![X40]:(~v7_ordinal1(X40)|k1_funct_1(k6_newton(X40),k2_xcmplx_0(X40,np__1))=np__1), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd43_newton04])])).
fof(c_0_34, plain, ![X35]:(~v7_ordinal1(X35)|v3_card_1(k6_newton(X35),k2_xcmplx_0(X35,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc36_newton04])])).
fof(c_0_35, plain, ![X37]:(~v7_ordinal1(X37)|v8_ordinal1(X37)|k1_funct_1(k6_newton(X37),np__2)=X37), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])).
fof(c_0_36, plain, ![X1, X2, X3, X4, X5]:(((((~v1_xboole_0(X1)&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))&m1_subset_1(X5,X1))=>k9_finseq_4(X1,X2,X3,X4,X5)=k7_finseq_4(X2,X3,X4,X5)), inference(fof_simplification,[status(thm)],[redefinition_k9_finseq_4])).
fof(c_0_37, plain, ![X36]:(~v1_relat_1(X36)|~v1_funct_1(X36)|~v3_card_1(X36,np__4)|~v1_finseq_1(X36)|k7_finseq_4(k1_funct_1(X36,np__1),k1_funct_1(X36,np__2),k1_funct_1(X36,np__3),k1_funct_1(X36,np__4))=X36), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd11_newton07])])).
cnf(c_0_38, plain, (k1_funct_1(k6_newton(np__3),np__3)=np__3|~v1_xxreal_0(np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])).
cnf(c_0_39, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_40, plain, (k1_funct_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))=np__1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_41, plain, (k2_xcmplx_0(np__3,np__1)=np__4), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r3_r1_r4])).
cnf(c_0_42, plain, (v3_card_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_43, plain, (v8_ordinal1(X1)|k1_funct_1(k6_newton(X1),np__2)=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_44, plain, ![X41, X42, X43, X44, X45]:(v1_xboole_0(X41)|~m1_subset_1(X42,X41)|~m1_subset_1(X43,X41)|~m1_subset_1(X44,X41)|~m1_subset_1(X45,X41)|k9_finseq_4(X41,X42,X43,X44,X45)=k7_finseq_4(X42,X43,X44,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])).
fof(c_0_45, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
cnf(c_0_46, plain, (k7_finseq_4(k1_funct_1(X1,np__1),k1_funct_1(X1,np__2),k1_funct_1(X1,np__3),k1_funct_1(X1,np__4))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v3_card_1(X1,np__4)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_47, plain, (k1_funct_1(k6_newton(np__3),np__3)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_27])])).
cnf(c_0_48, plain, (k1_funct_1(k6_newton(np__3),np__4)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_27])])).
cnf(c_0_49, plain, (v3_card_1(k6_newton(np__3),np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_41]), c_0_27])])).
fof(c_0_50, plain, ![X39]:(~v7_ordinal1(X39)|k1_funct_1(k6_newton(X39),np__1)=np__1), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd42_newton04])])).
cnf(c_0_51, plain, (k1_funct_1(k6_newton(np__3),np__2)=np__3|v8_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_43, c_0_27])).
fof(c_0_52, negated_conjecture, k6_newton(np__3)!=k9_finseq_4(k4_ordinal1,np__1,np__3,np__3,np__1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t61_newton07])])).
cnf(c_0_53, plain, (v1_xboole_0(X1)|k9_finseq_4(X1,X2,X3,X4,X5)=k7_finseq_4(X2,X3,X4,X5)|~m1_subset_1(X2,X1)|~m1_subset_1(X3,X1)|~m1_subset_1(X4,X1)|~m1_subset_1(X5,X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_54, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_55, plain, (~v1_xboole_0(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_56, plain, ![X31, X32]:(((v1_relat_1(X32)|~m1_finseq_1(X32,X31))&(v1_funct_1(X32)|~m1_finseq_1(X32,X31)))&(v1_finseq_1(X32)|~m1_finseq_1(X32,X31))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
fof(c_0_57, plain, ![X46, X47]:((~m2_finseq_1(X47,X46)|m1_finseq_1(X47,X46))&(~m1_finseq_1(X47,X46)|m2_finseq_1(X47,X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
cnf(c_0_58, plain, (k7_finseq_4(k1_funct_1(k6_newton(np__3),np__1),k1_funct_1(k6_newton(np__3),np__2),np__3,np__1)=k6_newton(np__3)|~v1_finseq_1(k6_newton(np__3))|~v1_funct_1(k6_newton(np__3))|~v1_relat_1(k6_newton(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49])])).
cnf(c_0_59, plain, (k1_funct_1(k6_newton(X1),np__1)=np__1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_60, plain, (k1_funct_1(k6_newton(np__3),np__2)=np__3|~v1_xxreal_0(np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_51]), c_0_31])])).
cnf(c_0_61, negated_conjecture, (k6_newton(np__3)!=k9_finseq_4(k4_ordinal1,np__1,np__3,np__3,np__1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_62, plain, (k9_finseq_4(k4_ordinal1,X1,X2,X3,np__1)=k7_finseq_4(X1,X2,X3,np__1)|~m1_subset_1(X3,k4_ordinal1)|~m1_subset_1(X2,k4_ordinal1)|~m1_subset_1(X1,k4_ordinal1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])).
cnf(c_0_63, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_64, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
fof(c_0_65, plain, ![X30]:(~v7_ordinal1(X30)|m2_finseq_1(k6_newton(X30),k1_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_newton])])).
cnf(c_0_66, plain, (k7_finseq_4(np__1,k1_funct_1(k6_newton(np__3),np__2),np__3,np__1)=k6_newton(np__3)|~v1_finseq_1(k6_newton(np__3))|~v1_funct_1(k6_newton(np__3))|~v1_relat_1(k6_newton(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_27])])).
cnf(c_0_67, plain, (k1_funct_1(k6_newton(np__3),np__2)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_39]), c_0_27])])).
cnf(c_0_68, negated_conjecture, (k7_finseq_4(np__1,np__3,np__3,np__1)!=k6_newton(np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_24]), c_0_54])])).
cnf(c_0_69, plain, (v1_relat_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_70, plain, (m2_finseq_1(k6_newton(X1),k1_numbers)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
fof(c_0_71, plain, ![X33, X34]:(((v1_funct_1(X34)|~m2_finseq_1(X34,X33))&(v1_finseq_1(X34)|~m2_finseq_1(X34,X33)))&(m1_subset_1(X34,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X33)))|~m2_finseq_1(X34,X33))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
cnf(c_0_72, plain, (~v1_finseq_1(k6_newton(np__3))|~v1_funct_1(k6_newton(np__3))|~v1_relat_1(k6_newton(np__3))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67]), c_0_68])).
cnf(c_0_73, plain, (v1_relat_1(k6_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_74, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_75, plain, (~v1_finseq_1(k6_newton(np__3))|~v1_funct_1(k6_newton(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_27])])).
cnf(c_0_76, plain, (v1_finseq_1(k6_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_74, c_0_70])).
cnf(c_0_77, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_78, plain, (~v1_funct_1(k6_newton(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_27])])).
cnf(c_0_79, plain, (v1_funct_1(k6_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_77, c_0_70])).
cnf(c_0_80, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_27])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 81
# Proof object clause steps            : 42
# Proof object formula steps           : 39
# Proof object conjectures             : 4
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 20
# Proof object simplifying inferences  : 29
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 28
# Processed clauses                    : 90
# ...of these trivial                  : 0
# ...subsumed                          : 5
# ...remaining for further processing  : 85
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 10
# Generated clauses                    : 37
# ...of the previous two non-trivial   : 37
# Contextual simplify-reflections      : 0
# Paramodulations                      : 37
# 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  : 46
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 28
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 16
# Current number of archived formulas  : 0
# Current number of archived clauses   : 39
# Clause-clause subsumption calls (NU) : 349
# Rec. Clause-clause subsumption calls : 137
# Non-unit clause-clause subsumptions  : 6
# Unit Clause-clause subsumption calls : 2
# 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          : 2797

# -------------------------------------------------
# User time                : 0.026 s
# System time              : 0.000 s
# Total time               : 0.026 s
# Maximum resident set size: 3428 pages
