# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.022 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d1_newton07, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k1_newton07(X1)=k24_valued_1(k6_newton(k6_xcmplx_0(X1,np__1)),X1)), file('newton07/newton07__t76_newton07', d1_newton07)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('newton07/newton07__t76_newton07', redefinition_m2_finseq_1)).
fof(dt_k1_newton02, axiom, ![X1]:(v7_ordinal1(X1)=>m2_finseq_1(k1_newton02(X1),k1_numbers)), file('newton07/newton07__t76_newton07', dt_k1_newton02)).
fof(redefinition_k10_finseq_4, axiom, ![X1, X2, X3, X4, X5, X6]:((((((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))&m1_subset_1(X5,X1))&m1_subset_1(X6,X1))=>k10_finseq_4(X1,X2,X3,X4,X5,X6)=k8_finseq_4(X2,X3,X4,X5,X6)), file('newton07/newton07__t76_newton07', redefinition_k10_finseq_4)).
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__t76_newton07', dt_m1_finseq_1)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('newton07/newton07__t76_newton07', fc6_ordinal1)).
fof(t6_valued_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))=>![X2]:(v1_xcmplx_0(X2)=>![X3]:k1_funct_1(k24_valued_1(X1,X2),X3)=k3_xcmplx_0(X2,k1_funct_1(X1,X3)))), file('newton07/newton07__t76_newton07', t6_valued_1)).
fof(rqRealDiff__k6_xcmplx_0__r5_r1_r4, axiom, k6_xcmplx_0(np__5,np__1)=np__4, file('newton07/newton07__t76_newton07', rqRealDiff__k6_xcmplx_0__r5_r1_r4)).
fof(ie1_newton02, axiom, ![X1]:(v7_ordinal1(X1)=>k1_newton02(X1)=k6_newton(X1)), file('newton07/newton07__t76_newton07', ie1_newton02)).
fof(rd8_finseq_4, axiom, ![X1, X2, X3, X4, X5]:k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__4)=X4, file('newton07/newton07__t76_newton07', rd8_finseq_4)).
fof(t62_newton07, axiom, k6_newton(np__4)=k10_finseq_4(k4_ordinal1,np__1,np__4,np__6,np__4,np__1), file('newton07/newton07__t76_newton07', t62_newton07)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t76_newton07', spc1_numerals)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('newton07/newton07__t76_newton07', spc4_numerals)).
fof(spc6_numerals, axiom, (v2_xxreal_0(np__6)&m1_subset_1(np__6,k4_ordinal1)), file('newton07/newton07__t76_newton07', spc6_numerals)).
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__t76_newton07', rd43_newton04)).
fof(rd7_finseq_4, axiom, ![X1, X2, X3, X4, X5]:k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__3)=X3, file('newton07/newton07__t76_newton07', rd7_finseq_4)).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(np__5,np__1)=np__5, file('newton07/newton07__t76_newton07', rqRealMult__k3_xcmplx_0__r5_r1_r5)).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(np__4,np__1)=np__5, file('newton07/newton07__t76_newton07', rqRealAdd__k2_xcmplx_0__r4_r1_r5)).
fof(cc6_valued_0, axiom, ![X1]:((v1_relat_1(X1)&v3_valued_0(X1))=>(v1_relat_1(X1)&v1_valued_0(X1))), file('newton07/newton07__t76_newton07', cc6_valued_0)).
fof(fc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_xreal_0(k4_xcmplx_0(X1)))), file('newton07/newton07__t76_newton07', fc3_xreal_0)).
fof(rqRealMult__k3_xcmplx_0__r5_r4_r20, axiom, k3_xcmplx_0(np__5,np__4)=np__20, file('newton07/newton07__t76_newton07', rqRealMult__k3_xcmplx_0__r5_r4_r20)).
fof(rd6_finseq_4, axiom, ![X1, X2, X3, X4, X5]:k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__2)=X2, file('newton07/newton07__t76_newton07', rd6_finseq_4)).
fof(cc20_finseq_1, axiom, ![X1]:(m1_finseq_1(X1,k1_numbers)=>v3_valued_0(X1)), file('newton07/newton07__t76_newton07', cc20_finseq_1)).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(np__5))=np__5, file('newton07/newton07__t76_newton07', rqRealNeg__k4_xcmplx_0__rm5_r5)).
fof(rqRealMult__k3_xcmplx_0__r5_r6_r30, axiom, k3_xcmplx_0(np__5,np__6)=np__30, file('newton07/newton07__t76_newton07', rqRealMult__k3_xcmplx_0__r5_r6_r30)).
fof(rd5_finseq_4, axiom, ![X1, X2, X3, X4, X5]:k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__1)=X1, file('newton07/newton07__t76_newton07', rd5_finseq_4)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('newton07/newton07__t76_newton07', cc2_xreal_0)).
fof(fc14_newton07, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>(((v1_relat_1(k1_newton07(X1))&v1_funct_1(k1_newton07(X1)))&v3_card_1(k1_newton07(X1),X1))&v1_finseq_1(k1_newton07(X1)))), file('newton07/newton07__t76_newton07', fc14_newton07)).
fof(rd12_newton07, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v3_card_1(X1,np__5))&v1_finseq_1(X1))=>k8_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),k1_funct_1(X1,np__5))=X1), file('newton07/newton07__t76_newton07', rd12_newton07)).
fof(t76_newton07, conjecture, k1_newton07(np__5)=k10_finseq_4(k4_ordinal1,np__5,np__20,np__30,np__20,np__5), file('newton07/newton07__t76_newton07', t76_newton07)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('newton07/newton07__t76_newton07', cc4_nat_1)).
fof(spc5_numerals, axiom, (v2_xxreal_0(np__5)&m1_subset_1(np__5,k4_ordinal1)), file('newton07/newton07__t76_newton07', spc5_numerals)).
fof(spc20_numerals, axiom, (v2_xxreal_0(np__20)&m1_subset_1(np__20,k4_ordinal1)), file('newton07/newton07__t76_newton07', spc20_numerals)).
fof(spc30_numerals, axiom, (v2_xxreal_0(np__30)&m1_subset_1(np__30,k4_ordinal1)), file('newton07/newton07__t76_newton07', spc30_numerals)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t76_newton07', cc8_ordinal1)).
fof(c_0_35, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k1_newton07(X1)=k24_valued_1(k6_newton(k6_xcmplx_0(X1,np__1)),X1)), inference(fof_simplification,[status(thm)],[d1_newton07])).
fof(c_0_36, plain, ![X92, X93]:((~m2_finseq_1(X93,X92)|m1_finseq_1(X93,X92))&(~m1_finseq_1(X93,X92)|m2_finseq_1(X93,X92))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
fof(c_0_37, plain, ![X58]:(~v7_ordinal1(X58)|m2_finseq_1(k1_newton02(X58),k1_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_newton02])])).
fof(c_0_38, plain, ![X1, X2, X3, X4, X5, X6]:((((((~v1_xboole_0(X1)&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))&m1_subset_1(X5,X1))&m1_subset_1(X6,X1))=>k10_finseq_4(X1,X2,X3,X4,X5,X6)=k8_finseq_4(X2,X3,X4,X5,X6)), inference(fof_simplification,[status(thm)],[redefinition_k10_finseq_4])).
fof(c_0_39, plain, ![X57]:(~v7_ordinal1(X57)|v8_ordinal1(X57)|k1_newton07(X57)=k24_valued_1(k6_newton(k6_xcmplx_0(X57,np__1)),X57)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])).
fof(c_0_40, plain, ![X59, X60]:(((v1_relat_1(X60)|~m1_finseq_1(X60,X59))&(v1_funct_1(X60)|~m1_finseq_1(X60,X59)))&(v1_finseq_1(X60)|~m1_finseq_1(X60,X59))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
cnf(c_0_41, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, plain, (m2_finseq_1(k1_newton02(X1),k1_numbers)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_43, plain, ![X86, X87, X88, X89, X90, X91]:(v1_xboole_0(X86)|~m1_subset_1(X87,X86)|~m1_subset_1(X88,X86)|~m1_subset_1(X89,X86)|~m1_subset_1(X90,X86)|~m1_subset_1(X91,X86)|k10_finseq_4(X86,X87,X88,X89,X90,X91)=k8_finseq_4(X87,X88,X89,X90,X91)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])).
fof(c_0_44, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
fof(c_0_45, plain, ![X94, X95, X96]:(~v1_relat_1(X94)|~v1_funct_1(X94)|~v1_valued_0(X94)|(~v1_xcmplx_0(X95)|k1_funct_1(k24_valued_1(X94,X95),X96)=k3_xcmplx_0(X95,k1_funct_1(X94,X96)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_valued_1])])])).
cnf(c_0_46, plain, (v8_ordinal1(X1)|k1_newton07(X1)=k24_valued_1(k6_newton(k6_xcmplx_0(X1,np__1)),X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_47, plain, (k6_xcmplx_0(np__5,np__1)=np__4), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r5_r1_r4])).
cnf(c_0_48, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_49, plain, (m1_finseq_1(k1_newton02(X1),k1_numbers)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
fof(c_0_50, plain, ![X63]:(~v7_ordinal1(X63)|k1_newton02(X63)=k6_newton(X63)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ie1_newton02])])).
cnf(c_0_51, plain, (v1_funct_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_52, plain, ![X81, X82, X83, X84, X85]:k1_funct_1(k8_finseq_4(X81,X82,X83,X84,X85),np__4)=X84, inference(variable_rename,[status(thm)],[rd8_finseq_4])).
cnf(c_0_53, plain, (k6_newton(np__4)=k10_finseq_4(k4_ordinal1,np__1,np__4,np__6,np__4,np__1)), inference(split_conjunct,[status(thm)],[t62_newton07])).
cnf(c_0_54, plain, (v1_xboole_0(X1)|k10_finseq_4(X1,X2,X3,X4,X5,X6)=k8_finseq_4(X2,X3,X4,X5,X6)|~m1_subset_1(X2,X1)|~m1_subset_1(X3,X1)|~m1_subset_1(X4,X1)|~m1_subset_1(X5,X1)|~m1_subset_1(X6,X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_55, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_56, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_57, plain, (m1_subset_1(np__6,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc6_numerals])).
cnf(c_0_58, plain, (~v1_xboole_0(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_59, plain, (k1_funct_1(k24_valued_1(X1,X2),X3)=k3_xcmplx_0(X2,k1_funct_1(X1,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_60, plain, (k24_valued_1(k6_newton(np__4),np__5)=k1_newton07(np__5)|v8_ordinal1(np__5)|~v7_ordinal1(np__5)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
fof(c_0_61, plain, ![X65]:(~v7_ordinal1(X65)|k1_funct_1(k6_newton(X65),k2_xcmplx_0(X65,np__1))=np__1), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd43_newton04])])).
cnf(c_0_62, plain, (v1_relat_1(k1_newton02(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_63, plain, (k1_newton02(X1)=k6_newton(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_64, plain, (v1_funct_1(k1_newton02(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_51, c_0_49])).
cnf(c_0_65, plain, (k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__4)=X4), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_66, plain, (k8_finseq_4(np__1,np__4,np__6,np__4,np__1)=k6_newton(np__4)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_58])).
fof(c_0_67, plain, ![X76, X77, X78, X79, X80]:k1_funct_1(k8_finseq_4(X76,X77,X78,X79,X80),np__3)=X78, inference(variable_rename,[status(thm)],[rd7_finseq_4])).
cnf(c_0_68, plain, (k3_xcmplx_0(np__5,k1_funct_1(k6_newton(np__4),X1))=k1_funct_1(k1_newton07(np__5),X1)|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_valued_0(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_69, 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_61])).
cnf(c_0_70, plain, (k3_xcmplx_0(np__5,np__1)=np__5), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r5_r1_r5])).
cnf(c_0_71, plain, (k2_xcmplx_0(np__4,np__1)=np__5), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r4_r1_r5])).
cnf(c_0_72, plain, (v1_relat_1(k6_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_73, plain, (v1_funct_1(k6_newton(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_64, c_0_63])).
fof(c_0_74, plain, ![X55]:((v1_relat_1(X55)|(~v1_relat_1(X55)|~v3_valued_0(X55)))&(v1_valued_0(X55)|(~v1_relat_1(X55)|~v3_valued_0(X55)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_valued_0])])])).
fof(c_0_75, plain, ![X62]:((v1_xcmplx_0(k4_xcmplx_0(X62))|~v1_xreal_0(X62))&(v1_xreal_0(k4_xcmplx_0(X62))|~v1_xreal_0(X62))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_xreal_0])])])).
cnf(c_0_76, plain, (k1_funct_1(k6_newton(np__4),np__4)=np__4), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_77, plain, (k3_xcmplx_0(np__5,np__4)=np__20), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r5_r4_r20])).
cnf(c_0_78, plain, (k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__3)=X3), inference(split_conjunct,[status(thm)],[c_0_67])).
fof(c_0_79, plain, ![X71, X72, X73, X74, X75]:k1_funct_1(k8_finseq_4(X71,X72,X73,X74,X75),np__2)=X72, inference(variable_rename,[status(thm)],[rd6_finseq_4])).
cnf(c_0_80, plain, (k1_funct_1(k1_newton07(np__5),np__5)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_valued_0(k6_newton(np__4))|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73])).
cnf(c_0_81, plain, (v1_valued_0(X1)|~v1_relat_1(X1)|~v3_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_82, plain, ![X52]:(~m1_finseq_1(X52,k1_numbers)|v3_valued_0(X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc20_finseq_1])])).
cnf(c_0_83, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_84, plain, (k4_xcmplx_0(k4_xcmplx_0(np__5))=np__5), inference(split_conjunct,[status(thm)],[rqRealNeg__k4_xcmplx_0__rm5_r5])).
cnf(c_0_85, plain, (k1_funct_1(k1_newton07(np__5),np__4)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_valued_0(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_76]), c_0_77])).
cnf(c_0_86, plain, (k1_funct_1(k6_newton(np__4),np__3)=np__6), inference(spm,[status(thm)],[c_0_78, c_0_66])).
cnf(c_0_87, plain, (k3_xcmplx_0(np__5,np__6)=np__30), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r5_r6_r30])).
cnf(c_0_88, plain, (k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__2)=X2), inference(split_conjunct,[status(thm)],[c_0_79])).
fof(c_0_89, plain, ![X66, X67, X68, X69, X70]:k1_funct_1(k8_finseq_4(X66,X67,X68,X69,X70),np__1)=X66, inference(variable_rename,[status(thm)],[rd5_finseq_4])).
cnf(c_0_90, plain, (k1_funct_1(k1_newton07(np__5),np__5)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)|~v3_valued_0(k6_newton(np__4))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_72])).
cnf(c_0_91, plain, (v3_valued_0(X1)|~m1_finseq_1(X1,k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_92, plain, (m1_finseq_1(k6_newton(X1),k1_numbers)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_49, c_0_63])).
cnf(c_0_93, plain, (v1_xcmplx_0(np__5)|~v1_xreal_0(k4_xcmplx_0(np__5))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
cnf(c_0_94, plain, (v1_xreal_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_95, plain, ![X53]:(~v7_ordinal1(X53)|v1_xreal_0(X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_96, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>(((v1_relat_1(k1_newton07(X1))&v1_funct_1(k1_newton07(X1)))&v3_card_1(k1_newton07(X1),X1))&v1_finseq_1(k1_newton07(X1)))), inference(fof_simplification,[status(thm)],[fc14_newton07])).
cnf(c_0_97, plain, (k1_funct_1(k1_newton07(np__5),np__4)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)|~v3_valued_0(k6_newton(np__4))), inference(spm,[status(thm)],[c_0_85, c_0_81])).
cnf(c_0_98, plain, (k1_funct_1(k1_newton07(np__5),np__3)=np__30|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_valued_0(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_86]), c_0_87])).
cnf(c_0_99, plain, (k1_funct_1(k6_newton(np__4),np__2)=np__4), inference(spm,[status(thm)],[c_0_88, c_0_66])).
cnf(c_0_100, plain, (k1_funct_1(k8_finseq_4(X1,X2,X3,X4,X5),np__1)=X1), inference(split_conjunct,[status(thm)],[c_0_89])).
fof(c_0_101, plain, ![X64]:(~v1_relat_1(X64)|~v1_funct_1(X64)|~v3_card_1(X64,np__5)|~v1_finseq_1(X64)|k8_finseq_4(k1_funct_1(X64,np__1),k1_funct_1(X64,np__2),k1_funct_1(X64,np__3),k1_funct_1(X64,np__4),k1_funct_1(X64,np__5))=X64), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd12_newton07])])).
cnf(c_0_102, plain, (k1_funct_1(k1_newton07(np__5),np__5)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92])).
cnf(c_0_103, plain, (v1_xcmplx_0(np__5)|~v1_xreal_0(np__5)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_104, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
fof(c_0_105, plain, ![X61]:((((v1_relat_1(k1_newton07(X61))|(~v7_ordinal1(X61)|v8_ordinal1(X61)))&(v1_funct_1(k1_newton07(X61))|(~v7_ordinal1(X61)|v8_ordinal1(X61))))&(v3_card_1(k1_newton07(X61),X61)|(~v7_ordinal1(X61)|v8_ordinal1(X61))))&(v1_finseq_1(k1_newton07(X61))|(~v7_ordinal1(X61)|v8_ordinal1(X61)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])])).
cnf(c_0_106, plain, (k1_funct_1(k1_newton07(np__5),np__4)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~m1_finseq_1(k6_newton(np__4),k1_numbers)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_91]), c_0_48]), c_0_51])).
cnf(c_0_107, plain, (k1_funct_1(k1_newton07(np__5),np__3)=np__30|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)|~v3_valued_0(k6_newton(np__4))), inference(spm,[status(thm)],[c_0_98, c_0_81])).
cnf(c_0_108, plain, (k1_funct_1(k1_newton07(np__5),np__2)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_valued_0(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_99]), c_0_77])).
cnf(c_0_109, plain, (k1_funct_1(k6_newton(np__4),np__1)=np__1), inference(spm,[status(thm)],[c_0_100, c_0_66])).
cnf(c_0_110, plain, (k8_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),k1_funct_1(X1,np__5))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v3_card_1(X1,np__5)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_111, plain, (k1_funct_1(k1_newton07(np__5),np__5)=np__5|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_104])).
cnf(c_0_112, plain, (v1_relat_1(k1_newton07(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_113, plain, (v1_funct_1(k1_newton07(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_114, plain, (v1_finseq_1(k1_newton07(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_115, plain, (v3_card_1(k1_newton07(X1),X1)|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_116, plain, (k1_funct_1(k1_newton07(np__5),np__4)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_106, c_0_92])).
cnf(c_0_117, plain, (k1_funct_1(k1_newton07(np__5),np__3)=np__30|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~m1_finseq_1(k6_newton(np__4),k1_numbers)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_91]), c_0_48]), c_0_51])).
cnf(c_0_118, plain, (k1_funct_1(k1_newton07(np__5),np__2)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)|~v3_valued_0(k6_newton(np__4))), inference(spm,[status(thm)],[c_0_108, c_0_81])).
cnf(c_0_119, plain, (k1_funct_1(k1_newton07(np__5),np__1)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_valued_0(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_109]), c_0_70])).
cnf(c_0_120, plain, (k8_finseq_4(k1_funct_1(k1_newton07(np__5),np__1),k1_funct_1(k1_newton07(np__5),np__2),k1_funct_1(k1_newton07(np__5),np__3),k1_funct_1(k1_newton07(np__5),np__4),np__5)=k1_newton07(np__5)|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_112]), c_0_113]), c_0_114]), c_0_115])).
cnf(c_0_121, plain, (k1_funct_1(k1_newton07(np__5),np__4)=np__20|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_103]), c_0_104])).
cnf(c_0_122, plain, (k1_funct_1(k1_newton07(np__5),np__3)=np__30|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_117, c_0_92])).
cnf(c_0_123, plain, (k1_funct_1(k1_newton07(np__5),np__2)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~m1_finseq_1(k6_newton(np__4),k1_numbers)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_91]), c_0_48]), c_0_51])).
cnf(c_0_124, plain, (k1_funct_1(k1_newton07(np__5),np__1)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v1_funct_1(k6_newton(np__4))|~v1_relat_1(k6_newton(np__4))|~v7_ordinal1(np__5)|~v3_valued_0(k6_newton(np__4))), inference(spm,[status(thm)],[c_0_119, c_0_81])).
cnf(c_0_125, plain, (k8_finseq_4(k1_funct_1(k1_newton07(np__5),np__1),k1_funct_1(k1_newton07(np__5),np__2),k1_funct_1(k1_newton07(np__5),np__3),np__20,np__5)=k1_newton07(np__5)|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_120, c_0_121])).
cnf(c_0_126, plain, (k1_funct_1(k1_newton07(np__5),np__3)=np__30|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_103]), c_0_104])).
cnf(c_0_127, plain, (k1_funct_1(k1_newton07(np__5),np__2)=np__20|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_123, c_0_92])).
cnf(c_0_128, plain, (k1_funct_1(k1_newton07(np__5),np__1)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~m1_finseq_1(k6_newton(np__4),k1_numbers)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_91]), c_0_48]), c_0_51])).
fof(c_0_129, negated_conjecture, k1_newton07(np__5)!=k10_finseq_4(k4_ordinal1,np__5,np__20,np__30,np__20,np__5), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t76_newton07])])).
fof(c_0_130, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
cnf(c_0_131, plain, (k8_finseq_4(k1_funct_1(k1_newton07(np__5),np__1),k1_funct_1(k1_newton07(np__5),np__2),np__30,np__20,np__5)=k1_newton07(np__5)|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_125, c_0_126])).
cnf(c_0_132, plain, (k1_funct_1(k1_newton07(np__5),np__2)=np__20|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_103]), c_0_104])).
cnf(c_0_133, plain, (k1_funct_1(k1_newton07(np__5),np__1)=np__5|v8_ordinal1(np__5)|~v1_xcmplx_0(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_128, c_0_92])).
cnf(c_0_134, negated_conjecture, (k1_newton07(np__5)!=k10_finseq_4(k4_ordinal1,np__5,np__20,np__30,np__20,np__5)), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_135, plain, (m1_subset_1(np__5,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc5_numerals])).
cnf(c_0_136, plain, (m1_subset_1(np__20,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc20_numerals])).
cnf(c_0_137, plain, (m1_subset_1(np__30,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc30_numerals])).
fof(c_0_138, plain, ![X54]:((v7_ordinal1(X54)|(~v7_ordinal1(X54)|~v8_ordinal1(X54)))&(~v2_xxreal_0(X54)|(~v7_ordinal1(X54)|~v8_ordinal1(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])])).
cnf(c_0_139, plain, (k8_finseq_4(k1_funct_1(k1_newton07(np__5),np__1),np__20,np__30,np__20,np__5)=k1_newton07(np__5)|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_131, c_0_132])).
cnf(c_0_140, plain, (k1_funct_1(k1_newton07(np__5),np__1)=np__5|v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_103]), c_0_104])).
cnf(c_0_141, negated_conjecture, (k8_finseq_4(np__5,np__20,np__30,np__20,np__5)!=k1_newton07(np__5)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_54]), c_0_135]), c_0_136]), c_0_137])]), c_0_58])).
cnf(c_0_142, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_138])).
cnf(c_0_143, plain, (v8_ordinal1(np__5)|~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_140]), c_0_141])).
cnf(c_0_144, plain, (v2_xxreal_0(np__5)), inference(split_conjunct,[status(thm)],[spc5_numerals])).
fof(c_0_145, plain, ![X56]:(~m1_subset_1(X56,k4_ordinal1)|v7_ordinal1(X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_146, plain, (~v7_ordinal1(np__5)|~v7_ordinal1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_144])])).
cnf(c_0_147, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_148, plain, (~v7_ordinal1(np__5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_56])])).
cnf(c_0_149, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_147]), c_0_135])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 150
# Proof object clause steps            : 89
# Proof object formula steps           : 61
# Proof object conjectures             : 4
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 41
# Proof object initial formulas used   : 35
# Proof object generating inferences   : 48
# Proof object simplifying inferences  : 44
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 35
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 51
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 49
# Processed clauses                    : 199
# ...of these trivial                  : 1
# ...subsumed                          : 64
# ...remaining for further processing  : 134
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 20
# Backward-rewritten                   : 0
# Generated clauses                    : 581
# ...of the previous two non-trivial   : 569
# Contextual simplify-reflections      : 39
# Paramodulations                      : 581
# 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  : 114
#    Positive orientable unit clauses  : 29
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 81
# Current number of unprocessed clauses: 419
# ...number of literals in the above   : 4900
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 14358
# Rec. Clause-clause subsumption calls : 654
# Non-unit clause-clause subsumptions  : 123
# Unit Clause-clause subsumption calls : 46
# 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          : 33658

# -------------------------------------------------
# User time                : 0.049 s
# System time              : 0.003 s
# Total time               : 0.051 s
# Maximum resident set size: 3520 pages
