# 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       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t91_newton07', redefinition_k1_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t91_newton07', cc8_ordinal1)).
fof(d1_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k1_finseq_1(X1)=a_1_0_finseq_1(X1)), file('newton07/newton07__t91_newton07', d1_finseq_1)).
fof(redefinition_k2_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k2_finseq_1(X1)=k1_finseq_1(X1)), file('newton07/newton07__t91_newton07', redefinition_k2_finseq_1)).
fof(d3_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>(X2=k3_newton07(X1)<=>(k4_finseq_1(X2)=k2_finseq_1(k1_nat_1(X1,np__1))&![X3]:(v7_ordinal1(X3)=>(r2_hidden(X3,k4_finseq_1(X2))=>k1_funct_1(X2,X3)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X3,np__1),k6_xcmplx_0(k1_nat_1(X1,np__1),X3)),np__1))))))), file('newton07/newton07__t91_newton07', d3_newton07)).
fof(fc18_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>(((v1_relat_1(k3_newton07(X1))&v1_funct_1(k3_newton07(X1)))&v3_card_1(k3_newton07(X1),k1_nat_1(X1,np__1)))&v1_finseq_1(k3_newton07(X1)))), file('newton07/newton07__t91_newton07', fc18_newton07)).
fof(fc7_int_1, axiom, ![X1]:(v2_int_1(X1)=>v7_ordinal1(k2_xcmplx_0(X1,np__1))), file('newton07/newton07__t91_newton07', fc7_int_1)).
fof(cc4_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v2_int_1(X1)), file('newton07/newton07__t91_newton07', cc4_int_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t91_newton07', spc1_numerals)).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(np__1,np__1)=np__2, file('newton07/newton07__t91_newton07', rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(np__1,np__1)=np__0, file('newton07/newton07__t91_newton07', rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
fof(fraenkel_a_1_0_finseq_1, axiom, ![X1, X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,a_1_0_finseq_1(X2))<=>?[X3]:(((v7_ordinal1(X3)&X1=X3)&r1_xxreal_0(np__1,X3))&r1_xxreal_0(X3,X2)))), file('newton07/newton07__t91_newton07', fraenkel_a_1_0_finseq_1)).
fof(redefinition_k2_finseq_4, axiom, ![X1, X2, X3]:(((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>k2_finseq_4(X1,X2,X3)=k10_finseq_1(X2,X3)), file('newton07/newton07__t91_newton07', redefinition_k2_finseq_4)).
fof(rd9_newton07, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v3_card_1(X1,np__2))&v1_finseq_1(X1))=>k10_finseq_1(k1_funct_1(X1,np__1),k1_funct_1(X1,np__2))=X1), file('newton07/newton07__t91_newton07', rd9_newton07)).
fof(d9_finseq_1, axiom, ![X1, X2]:k10_finseq_1(X1,X2)=k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2)), file('newton07/newton07__t91_newton07', d9_finseq_1)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(np__2,np__1)=np__1, file('newton07/newton07__t91_newton07', rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(np__0,np__1)=np__0, file('newton07/newton07__t91_newton07', rqRealMult__k3_xcmplx_0__r0_r1_r0)).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(np__0,np__1)=np__1, file('newton07/newton07__t91_newton07', rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(np__1,np__1), file('newton07/newton07__t91_newton07', rqLessOrEqual__r1_xxreal_0__r1_r1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1,np__2), file('newton07/newton07__t91_newton07', rqLessOrEqual__r1_xxreal_0__r1_r2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(np__2,np__2)=np__0, file('newton07/newton07__t91_newton07', rqRealDiff__k6_xcmplx_0__r2_r2_r0)).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(np__1,np__0)=np__0, file('newton07/newton07__t91_newton07', rqRealMult__k3_xcmplx_0__r1_r0_r0)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('newton07/newton07__t91_newton07', fc6_ordinal1)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(np__2,np__2), file('newton07/newton07__t91_newton07', rqLessOrEqual__r1_xxreal_0__r2_r2)).
fof(t91_newton07, conjecture, k3_newton07(np__1)=k2_finseq_4(k4_ordinal1,np__1,np__1), file('newton07/newton07__t91_newton07', t91_newton07)).
fof(c_0_25, plain, ![X40, X41]:(~v7_ordinal1(X40)|~m1_subset_1(X41,k4_ordinal1)|k1_nat_1(X40,X41)=k2_xcmplx_0(X40,X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
fof(c_0_26, plain, ![X25]:(~m1_subset_1(X25,k4_ordinal1)|v7_ordinal1(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_27, plain, ![X26]:(~v7_ordinal1(X26)|k1_finseq_1(X26)=a_1_0_finseq_1(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finseq_1])])).
fof(c_0_28, plain, ![X42]:(~v7_ordinal1(X42)|k2_finseq_1(X42)=k1_finseq_1(X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_finseq_1])])).
fof(c_0_29, plain, ![X27, X28, X29]:(((k4_finseq_1(X28)=k2_finseq_1(k1_nat_1(X27,np__1))|X28!=k3_newton07(X27)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))|~v7_ordinal1(X27))&(~v7_ordinal1(X29)|(~r2_hidden(X29,k4_finseq_1(X28))|k1_funct_1(X28,X29)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X29,np__1),k6_xcmplx_0(k1_nat_1(X27,np__1),X29)),np__1))|X28!=k3_newton07(X27)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))|~v7_ordinal1(X27)))&((v7_ordinal1(esk1_2(X27,X28))|k4_finseq_1(X28)!=k2_finseq_1(k1_nat_1(X27,np__1))|X28=k3_newton07(X27)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))|~v7_ordinal1(X27))&((r2_hidden(esk1_2(X27,X28),k4_finseq_1(X28))|k4_finseq_1(X28)!=k2_finseq_1(k1_nat_1(X27,np__1))|X28=k3_newton07(X27)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))|~v7_ordinal1(X27))&(k1_funct_1(X28,esk1_2(X27,X28))!=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(esk1_2(X27,X28),np__1),k6_xcmplx_0(k1_nat_1(X27,np__1),esk1_2(X27,X28))),np__1)|k4_finseq_1(X28)!=k2_finseq_1(k1_nat_1(X27,np__1))|X28=k3_newton07(X27)|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_finseq_1(X28))|~v7_ordinal1(X27))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_newton07])])])])])).
fof(c_0_30, plain, ![X33]:((((v1_relat_1(k3_newton07(X33))|~v7_ordinal1(X33))&(v1_funct_1(k3_newton07(X33))|~v7_ordinal1(X33)))&(v3_card_1(k3_newton07(X33),k1_nat_1(X33,np__1))|~v7_ordinal1(X33)))&(v1_finseq_1(k3_newton07(X33))|~v7_ordinal1(X33))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc18_newton07])])])).
fof(c_0_31, plain, ![X34]:(~v2_int_1(X34)|v7_ordinal1(k2_xcmplx_0(X34,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_int_1])])).
fof(c_0_32, plain, ![X24]:(~v7_ordinal1(X24)|v2_int_1(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_int_1])])).
cnf(c_0_33, 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_25])).
cnf(c_0_34, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_35, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, plain, (k1_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, plain, (k2_finseq_1(X1)=k1_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_38, plain, (k4_finseq_1(X1)=k2_finseq_1(k1_nat_1(X2,np__1))|X1!=k3_newton07(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (v1_relat_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_40, plain, (v1_funct_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_41, plain, (v1_finseq_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_42, plain, (v7_ordinal1(k2_xcmplx_0(X1,np__1))|~v2_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_43, plain, (v2_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_44, plain, (k2_xcmplx_0(np__1,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r1_r1_r2])).
cnf(c_0_45, plain, (k2_xcmplx_0(X1,np__1)=k1_nat_1(X1,np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_46, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_35, c_0_34])).
cnf(c_0_47, plain, (k1_funct_1(X2,X1)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X1,np__1),k6_xcmplx_0(k1_nat_1(X3,np__1),X1)),np__1)|~v7_ordinal1(X1)|~r2_hidden(X1,k4_finseq_1(X2))|X2!=k3_newton07(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_48, plain, (k2_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_49, plain, (k2_finseq_1(k1_nat_1(X1,np__1))=k4_finseq_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_38]), c_0_39]), c_0_40]), c_0_41])).
cnf(c_0_50, plain, (v7_ordinal1(k2_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_51, plain, (k1_nat_1(np__1,np__1)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])])).
cnf(c_0_52, plain, (k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X1,np__1),k6_xcmplx_0(k1_nat_1(X2,np__1),X1)),np__1)=k1_funct_1(k3_newton07(X2),X1)|~r2_hidden(X1,k4_finseq_1(k3_newton07(X2)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_47]), c_0_39]), c_0_40]), c_0_41])).
cnf(c_0_53, plain, (k6_xcmplx_0(np__1,np__1)=np__0), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r1_r1_r0])).
cnf(c_0_54, plain, (a_1_0_finseq_1(k1_nat_1(X1,np__1))=k4_finseq_1(k3_newton07(X1))|~v7_ordinal1(k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_55, plain, (v7_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_44]), c_0_46])])).
cnf(c_0_56, plain, (k4_finseq_1(k3_newton07(np__1))=k2_finseq_1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_51]), c_0_46])])).
fof(c_0_57, plain, ![X35, X36, X38]:(((((v7_ordinal1(esk2_2(X35,X36))|~r2_hidden(X35,a_1_0_finseq_1(X36))|~v7_ordinal1(X36))&(X35=esk2_2(X35,X36)|~r2_hidden(X35,a_1_0_finseq_1(X36))|~v7_ordinal1(X36)))&(r1_xxreal_0(np__1,esk2_2(X35,X36))|~r2_hidden(X35,a_1_0_finseq_1(X36))|~v7_ordinal1(X36)))&(r1_xxreal_0(esk2_2(X35,X36),X36)|~r2_hidden(X35,a_1_0_finseq_1(X36))|~v7_ordinal1(X36)))&(~v7_ordinal1(X38)|X35!=X38|~r1_xxreal_0(np__1,X38)|~r1_xxreal_0(X38,X36)|r2_hidden(X35,a_1_0_finseq_1(X36))|~v7_ordinal1(X36))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_1_0_finseq_1])])])])])).
fof(c_0_58, plain, ![X1, X2, X3]:(((~v1_xboole_0(X1)&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>k2_finseq_4(X1,X2,X3)=k10_finseq_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_finseq_4])).
fof(c_0_59, plain, ![X39]:(~v1_relat_1(X39)|~v1_funct_1(X39)|~v3_card_1(X39,np__2)|~v1_finseq_1(X39)|k10_finseq_1(k1_funct_1(X39,np__1),k1_funct_1(X39,np__2))=X39), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd9_newton07])])).
fof(c_0_60, plain, ![X31, X32]:k10_finseq_1(X31,X32)=k7_finseq_1(k9_finseq_1(X31),k9_finseq_1(X32)), inference(variable_rename,[status(thm)],[d9_finseq_1])).
cnf(c_0_61, plain, (k2_xcmplx_0(k3_xcmplx_0(np__0,k6_xcmplx_0(k1_nat_1(X1,np__1),np__1)),np__1)=k1_funct_1(k3_newton07(X1),np__1)|~r2_hidden(np__1,k4_finseq_1(k3_newton07(X1)))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_46])])).
cnf(c_0_62, plain, (k6_xcmplx_0(np__2,np__1)=np__1), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r2_r1_r1])).
cnf(c_0_63, plain, (k3_xcmplx_0(np__0,np__1)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r0_r1_r0])).
cnf(c_0_64, plain, (k2_xcmplx_0(np__0,np__1)=np__1), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r0_r1_r1])).
cnf(c_0_65, plain, (k2_finseq_1(np__2)=a_1_0_finseq_1(np__2)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_51]), c_0_55]), c_0_46])]), c_0_56])).
cnf(c_0_66, plain, (r2_hidden(X2,a_1_0_finseq_1(X3))|~v7_ordinal1(X1)|X2!=X1|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X3)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_57])).
fof(c_0_67, plain, ![X43, X44, X45]:(v1_xboole_0(X43)|~m1_subset_1(X44,X43)|~m1_subset_1(X45,X43)|k2_finseq_4(X43,X44,X45)=k10_finseq_1(X44,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])).
cnf(c_0_68, plain, (k10_finseq_1(k1_funct_1(X1,np__1),k1_funct_1(X1,np__2))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v3_card_1(X1,np__2)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_69, plain, (k10_finseq_1(X1,X2)=k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(X2))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_70, plain, (k1_funct_1(k3_newton07(np__1),np__1)=np__1|~r2_hidden(np__1,a_1_0_finseq_1(np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_51]), c_0_62]), c_0_63]), c_0_64]), c_0_56]), c_0_65]), c_0_46])])).
cnf(c_0_71, plain, (r2_hidden(X1,a_1_0_finseq_1(X2))|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_66])).
cnf(c_0_72, plain, (r1_xxreal_0(np__1,np__1)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r1])).
cnf(c_0_73, plain, (r1_xxreal_0(np__1,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r2])).
cnf(c_0_74, plain, (v3_card_1(k3_newton07(X1),k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_75, plain, (k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X1,np__1),k6_xcmplx_0(np__2,X1)),np__1)=k1_funct_1(k3_newton07(np__1),X1)|~r2_hidden(X1,a_1_0_finseq_1(np__2))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_51]), c_0_56]), c_0_65]), c_0_46])])).
cnf(c_0_76, plain, (k6_xcmplx_0(np__2,np__2)=np__0), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r2_r2_r0])).
cnf(c_0_77, plain, (k3_xcmplx_0(np__1,np__0)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r1_r0_r0])).
cnf(c_0_78, plain, (v1_xboole_0(X1)|k2_finseq_4(X1,X2,X3)=k10_finseq_1(X2,X3)|~m1_subset_1(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
fof(c_0_79, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
cnf(c_0_80, plain, (k7_finseq_1(k9_finseq_1(k1_funct_1(X1,np__1)),k9_finseq_1(k1_funct_1(X1,np__2)))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v3_card_1(X1,np__2)), inference(rw,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_81, plain, (k1_funct_1(k3_newton07(np__1),np__1)=np__1), 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_70, c_0_71]), c_0_72]), c_0_73]), c_0_55]), c_0_46])])).
cnf(c_0_82, plain, (v3_card_1(k3_newton07(np__1),np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_51]), c_0_46])])).
cnf(c_0_83, plain, (k1_funct_1(k3_newton07(np__1),np__2)=np__1|~r2_hidden(np__2,a_1_0_finseq_1(np__2))), 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_75, c_0_76]), c_0_62]), c_0_77]), c_0_64]), c_0_55])])).
cnf(c_0_84, plain, (r1_xxreal_0(np__2,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r2_r2])).
cnf(c_0_85, plain, (k2_finseq_4(X1,X2,X3)=k7_finseq_1(k9_finseq_1(X2),k9_finseq_1(X3))|v1_xboole_0(X1)|~m1_subset_1(X3,X1)|~m1_subset_1(X2,X1)), inference(rw,[status(thm)],[c_0_78, c_0_69])).
cnf(c_0_86, plain, (~v1_xboole_0(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_87, plain, (k7_finseq_1(k9_finseq_1(np__1),k9_finseq_1(k1_funct_1(k3_newton07(np__1),np__2)))=k3_newton07(np__1)|~v1_finseq_1(k3_newton07(np__1))|~v1_funct_1(k3_newton07(np__1))|~v1_relat_1(k3_newton07(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82])])).
cnf(c_0_88, plain, (k1_funct_1(k3_newton07(np__1),np__2)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_71]), c_0_73]), c_0_84]), c_0_55])])).
fof(c_0_89, negated_conjecture, k3_newton07(np__1)!=k2_finseq_4(k4_ordinal1,np__1,np__1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t91_newton07])])).
cnf(c_0_90, plain, (k7_finseq_1(k9_finseq_1(X1),k9_finseq_1(np__1))=k2_finseq_4(k4_ordinal1,X1,np__1)|~m1_subset_1(X1,k4_ordinal1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_34]), c_0_86])).
cnf(c_0_91, plain, (k7_finseq_1(k9_finseq_1(np__1),k9_finseq_1(np__1))=k3_newton07(np__1)|~v1_finseq_1(k3_newton07(np__1))|~v1_funct_1(k3_newton07(np__1))|~v1_relat_1(k3_newton07(np__1))), inference(rw,[status(thm)],[c_0_87, c_0_88])).
cnf(c_0_92, negated_conjecture, (k3_newton07(np__1)!=k2_finseq_4(k4_ordinal1,np__1,np__1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_93, plain, (~v1_finseq_1(k3_newton07(np__1))|~v1_funct_1(k3_newton07(np__1))|~v1_relat_1(k3_newton07(np__1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_34])]), c_0_92])).
cnf(c_0_94, plain, (~v1_funct_1(k3_newton07(np__1))|~v1_relat_1(k3_newton07(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_41]), c_0_46])])).
cnf(c_0_95, plain, (~v1_relat_1(k3_newton07(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_40]), c_0_46])])).
cnf(c_0_96, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_39]), c_0_46])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 97
# Proof object clause steps            : 57
# Proof object formula steps           : 40
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 29
# Proof object initial formulas used   : 25
# Proof object generating inferences   : 22
# Proof object simplifying inferences  : 63
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 25
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 38
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 37
# Processed clauses                    : 230
# ...of these trivial                  : 1
# ...subsumed                          : 44
# ...remaining for further processing  : 185
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 15
# Backward-rewritten                   : 4
# Generated clauses                    : 274
# ...of the previous two non-trivial   : 230
# Contextual simplify-reflections      : 21
# Paramodulations                      : 269
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 126
#    Positive orientable unit clauses  : 21
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 102
# Current number of unprocessed clauses: 66
# ...number of literals in the above   : 449
# Current number of archived formulas  : 0
# Current number of archived clauses   : 57
# Clause-clause subsumption calls (NU) : 3780
# Rec. Clause-clause subsumption calls : 1289
# Non-unit clause-clause subsumptions  : 80
# Unit Clause-clause subsumption calls : 34
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 9788

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.006 s
# Total time               : 0.036 s
# Maximum resident set size: 3484 pages
