# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t93_newton07', cc8_ordinal1)).
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__t93_newton07', redefinition_k1_nat_1)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('newton07/newton07__t93_newton07', spc3_numerals)).
fof(d1_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k1_finseq_1(X1)=a_1_0_finseq_1(X1)), file('newton07/newton07__t93_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__t93_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__t93_newton07', d3_newton07)).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(np__3,np__1)=np__4, file('newton07/newton07__t93_newton07', rqRealAdd__k2_xcmplx_0__r3_r1_r4)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t93_newton07', spc1_numerals)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('newton07/newton07__t93_newton07', spc4_numerals)).
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__t93_newton07', fc18_newton07)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('newton07/newton07__t93_newton07', spc2_numerals)).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(np__4,np__2)=np__2, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r4_r2_r2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(np__2,np__1)=np__1, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(np__1,np__2)=np__2, file('newton07/newton07__t93_newton07', rqRealMult__k3_xcmplx_0__r1_r2_r2)).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(np__2,np__1)=np__3, file('newton07/newton07__t93_newton07', rqRealAdd__k2_xcmplx_0__r2_r1_r3)).
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__t93_newton07', fraenkel_a_1_0_finseq_1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(np__1,np__1)=np__0, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(np__3,np__1)=np__2, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r3_r1_r2)).
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__t93_newton07', redefinition_k9_finseq_4)).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(np__4,np__1)=np__3, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r4_r1_r3)).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(np__0,np__3)=np__0, file('newton07/newton07__t93_newton07', rqRealMult__k3_xcmplx_0__r0_r3_r0)).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(np__0,np__1)=np__1, file('newton07/newton07__t93_newton07', rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(np__4,np__3)=np__1, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r4_r3_r1)).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(np__2,np__1)=np__2, file('newton07/newton07__t93_newton07', rqRealMult__k3_xcmplx_0__r2_r1_r2)).
fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0, axiom, k6_xcmplx_0(np__4,np__4)=np__0, file('newton07/newton07__t93_newton07', rqRealDiff__k6_xcmplx_0__r4_r4_r0)).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(np__3,np__0)=np__0, file('newton07/newton07__t93_newton07', rqRealMult__k3_xcmplx_0__r3_r0_r0)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('newton07/newton07__t93_newton07', fc6_ordinal1)).
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__t93_newton07', rd11_newton07)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1,np__2), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r1_r2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(np__2,np__4), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r2_r4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(np__1,np__1), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r1_r1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(np__1,np__4), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r1_r4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(np__1,np__3), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r1_r3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(np__3,np__4), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r3_r4)).
fof(t93_newton07, conjecture, k3_newton07(np__3)=k9_finseq_4(k4_ordinal1,np__1,np__3,np__3,np__1), file('newton07/newton07__t93_newton07', t93_newton07)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(np__4,np__4), file('newton07/newton07__t93_newton07', rqLessOrEqual__r1_xxreal_0__r4_r4)).
fof(c_0_36, plain, ![X24]:(~m1_subset_1(X24,k4_ordinal1)|v7_ordinal1(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_37, plain, ![X36, X37]:(~v7_ordinal1(X36)|~m1_subset_1(X37,k4_ordinal1)|k1_nat_1(X36,X37)=k2_xcmplx_0(X36,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
cnf(c_0_38, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_39, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
fof(c_0_40, plain, ![X25]:(~v7_ordinal1(X25)|k1_finseq_1(X25)=a_1_0_finseq_1(X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finseq_1])])).
fof(c_0_41, plain, ![X38]:(~v7_ordinal1(X38)|k2_finseq_1(X38)=k1_finseq_1(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_finseq_1])])).
fof(c_0_42, plain, ![X26, X27, X28]:(((k4_finseq_1(X27)=k2_finseq_1(k1_nat_1(X26,np__1))|X27!=k3_newton07(X26)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_finseq_1(X27))|~v7_ordinal1(X26))&(~v7_ordinal1(X28)|(~r2_hidden(X28,k4_finseq_1(X27))|k1_funct_1(X27,X28)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X28,np__1),k6_xcmplx_0(k1_nat_1(X26,np__1),X28)),np__1))|X27!=k3_newton07(X26)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_finseq_1(X27))|~v7_ordinal1(X26)))&((v7_ordinal1(esk1_2(X26,X27))|k4_finseq_1(X27)!=k2_finseq_1(k1_nat_1(X26,np__1))|X27=k3_newton07(X26)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_finseq_1(X27))|~v7_ordinal1(X26))&((r2_hidden(esk1_2(X26,X27),k4_finseq_1(X27))|k4_finseq_1(X27)!=k2_finseq_1(k1_nat_1(X26,np__1))|X27=k3_newton07(X26)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_finseq_1(X27))|~v7_ordinal1(X26))&(k1_funct_1(X27,esk1_2(X26,X27))!=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(esk1_2(X26,X27),np__1),k6_xcmplx_0(k1_nat_1(X26,np__1),esk1_2(X26,X27))),np__1)|k4_finseq_1(X27)!=k2_finseq_1(k1_nat_1(X26,np__1))|X27=k3_newton07(X26)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_finseq_1(X27))|~v7_ordinal1(X26))))), 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])])])])])).
cnf(c_0_43, 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_44, 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_37])).
cnf(c_0_45, plain, (v7_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_46, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_47, plain, (k1_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_48, plain, (k2_finseq_1(X1)=k1_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49, 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_42])).
cnf(c_0_50, plain, (k1_nat_1(np__3,np__1)=np__4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46])])).
cnf(c_0_51, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_52, plain, (k2_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_53, plain, (k4_finseq_1(X1)=k2_finseq_1(np__4)|X1!=k3_newton07(np__3)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_45])])).
cnf(c_0_54, plain, (v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_38, c_0_51])).
cnf(c_0_55, plain, (k4_finseq_1(X1)=a_1_0_finseq_1(np__4)|X1!=k3_newton07(np__3)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])])).
cnf(c_0_56, plain, (k2_finseq_1(np__4)=a_1_0_finseq_1(np__4)|X1!=k3_newton07(np__3)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_53, c_0_55])).
fof(c_0_57, plain, ![X30]:((((v1_relat_1(k3_newton07(X30))|~v7_ordinal1(X30))&(v1_funct_1(k3_newton07(X30))|~v7_ordinal1(X30)))&(v3_card_1(k3_newton07(X30),k1_nat_1(X30,np__1))|~v7_ordinal1(X30)))&(v1_finseq_1(k3_newton07(X30))|~v7_ordinal1(X30))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc18_newton07])])])).
cnf(c_0_58, plain, (k2_finseq_1(np__4)=a_1_0_finseq_1(np__4)|~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(er,[status(thm)],[c_0_56])).
cnf(c_0_59, plain, (v1_finseq_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_60, plain, (k2_finseq_1(np__4)=a_1_0_finseq_1(np__4)|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_45])])).
cnf(c_0_61, plain, (v1_funct_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_62, 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_42])).
cnf(c_0_63, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_64, plain, (v1_relat_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_65, plain, (k2_finseq_1(np__4)=a_1_0_finseq_1(np__4)|~v1_relat_1(k3_newton07(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_45])])).
cnf(c_0_66, plain, (k1_funct_1(X1,X2)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X2,np__1),k6_xcmplx_0(np__4,X2)),np__1)|X1!=k3_newton07(np__3)|~r2_hidden(X2,k4_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_50]), c_0_45])])).
cnf(c_0_67, plain, (k6_xcmplx_0(np__4,np__2)=np__2), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r4_r2_r2])).
cnf(c_0_68, 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_69, plain, (k3_xcmplx_0(np__1,np__2)=np__2), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r1_r2_r2])).
cnf(c_0_70, plain, (k2_xcmplx_0(np__2,np__1)=np__3), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r2_r1_r3])).
cnf(c_0_71, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_38, c_0_63])).
cnf(c_0_72, 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_49]), c_0_64]), c_0_61]), c_0_59])).
cnf(c_0_73, plain, (k2_finseq_1(np__4)=a_1_0_finseq_1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_64]), c_0_45])])).
fof(c_0_74, plain, ![X31, X32, X34]:(((((v7_ordinal1(esk2_2(X31,X32))|~r2_hidden(X31,a_1_0_finseq_1(X32))|~v7_ordinal1(X32))&(X31=esk2_2(X31,X32)|~r2_hidden(X31,a_1_0_finseq_1(X32))|~v7_ordinal1(X32)))&(r1_xxreal_0(np__1,esk2_2(X31,X32))|~r2_hidden(X31,a_1_0_finseq_1(X32))|~v7_ordinal1(X32)))&(r1_xxreal_0(esk2_2(X31,X32),X32)|~r2_hidden(X31,a_1_0_finseq_1(X32))|~v7_ordinal1(X32)))&(~v7_ordinal1(X34)|X31!=X34|~r1_xxreal_0(np__1,X34)|~r1_xxreal_0(X34,X32)|r2_hidden(X31,a_1_0_finseq_1(X32))|~v7_ordinal1(X32))), 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])])])])])).
cnf(c_0_75, 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_62]), c_0_64]), c_0_61]), c_0_59])).
cnf(c_0_76, 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_77, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_38, c_0_46])).
cnf(c_0_78, plain, (k6_xcmplx_0(np__3,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r3_r1_r2])).
fof(c_0_79, 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])).
cnf(c_0_80, plain, (k1_funct_1(X1,np__2)=np__3|X1!=k3_newton07(np__3)|~r2_hidden(np__2,k4_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), 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_66, c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71])])).
cnf(c_0_81, plain, (k4_finseq_1(k3_newton07(np__3))=a_1_0_finseq_1(np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_50]), c_0_73]), c_0_45])])).
cnf(c_0_82, 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_74])).
cnf(c_0_83, 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_75, c_0_76]), c_0_77])])).
cnf(c_0_84, plain, (k6_xcmplx_0(np__4,np__1)=np__3), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r4_r1_r3])).
cnf(c_0_85, plain, (k3_xcmplx_0(np__0,np__3)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r0_r3_r0])).
cnf(c_0_86, 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_87, plain, (k2_xcmplx_0(k3_xcmplx_0(np__2,k6_xcmplx_0(k1_nat_1(X1,np__1),np__3)),np__1)=k1_funct_1(k3_newton07(X1),np__3)|~r2_hidden(np__3,k4_finseq_1(k3_newton07(X1)))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_78]), c_0_45])])).
cnf(c_0_88, plain, (k6_xcmplx_0(np__4,np__3)=np__1), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r4_r3_r1])).
cnf(c_0_89, plain, (k3_xcmplx_0(np__2,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r2_r1_r2])).
cnf(c_0_90, plain, (k6_xcmplx_0(np__4,np__4)=np__0), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r4_r4_r0])).
cnf(c_0_91, plain, (k3_xcmplx_0(np__3,np__0)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r3_r0_r0])).
fof(c_0_92, plain, ![X39, X40, X41, X42, X43]:(v1_xboole_0(X39)|~m1_subset_1(X40,X39)|~m1_subset_1(X41,X39)|~m1_subset_1(X42,X39)|~m1_subset_1(X43,X39)|k9_finseq_4(X39,X40,X41,X42,X43)=k7_finseq_4(X40,X41,X42,X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])).
fof(c_0_93, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
fof(c_0_94, plain, ![X35]:(~v1_relat_1(X35)|~v1_funct_1(X35)|~v3_card_1(X35,np__4)|~v1_finseq_1(X35)|k7_finseq_4(k1_funct_1(X35,np__1),k1_funct_1(X35,np__2),k1_funct_1(X35,np__3),k1_funct_1(X35,np__4))=X35), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd11_newton07])])).
cnf(c_0_95, plain, (k1_funct_1(k3_newton07(np__3),np__2)=np__3|~r2_hidden(np__2,a_1_0_finseq_1(np__4))|~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_96, 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_82])).
cnf(c_0_97, plain, (r1_xxreal_0(np__1,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r2])).
cnf(c_0_98, plain, (r1_xxreal_0(np__2,np__4)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r2_r4])).
cnf(c_0_99, plain, (k1_funct_1(k3_newton07(np__3),np__1)=np__1|~r2_hidden(np__1,a_1_0_finseq_1(np__4))), 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(spm,[status(thm)],[c_0_83, c_0_50]), c_0_84]), c_0_85]), c_0_86]), c_0_81]), c_0_45])])).
cnf(c_0_100, plain, (r1_xxreal_0(np__1,np__1)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r1])).
cnf(c_0_101, plain, (r1_xxreal_0(np__1,np__4)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r4])).
cnf(c_0_102, plain, (k1_funct_1(k3_newton07(np__3),np__3)=np__3|~r2_hidden(np__3,a_1_0_finseq_1(np__4))), 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(spm,[status(thm)],[c_0_87, c_0_50]), c_0_88]), c_0_89]), c_0_70]), c_0_81]), c_0_45])])).
cnf(c_0_103, plain, (r1_xxreal_0(np__1,np__3)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r3])).
cnf(c_0_104, plain, (r1_xxreal_0(np__3,np__4)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r3_r4])).
cnf(c_0_105, plain, (v3_card_1(k3_newton07(X1),k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_106, plain, (k1_funct_1(X1,np__4)=np__1|X1!=k3_newton07(np__3)|~r2_hidden(np__4,k4_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), 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_66, c_0_90]), c_0_84]), c_0_91]), c_0_86]), c_0_54])])).
fof(c_0_107, negated_conjecture, k3_newton07(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)],[t93_newton07])])).
cnf(c_0_108, 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_92])).
cnf(c_0_109, plain, (~v1_xboole_0(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_110, 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_94])).
cnf(c_0_111, plain, (k1_funct_1(k3_newton07(np__3),np__2)=np__3|~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), 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_95, c_0_96]), c_0_97]), c_0_98]), c_0_54]), c_0_71])])).
cnf(c_0_112, plain, (k1_funct_1(k3_newton07(np__3),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_99, c_0_96]), c_0_100]), c_0_101]), c_0_54]), c_0_77])])).
cnf(c_0_113, plain, (k1_funct_1(k3_newton07(np__3),np__3)=np__3), 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_102, c_0_96]), c_0_103]), c_0_104]), c_0_54]), c_0_45])])).
cnf(c_0_114, plain, (v3_card_1(k3_newton07(np__3),np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_50]), c_0_45])])).
cnf(c_0_115, plain, (k1_funct_1(k3_newton07(np__3),np__4)=np__1|~r2_hidden(np__4,a_1_0_finseq_1(np__4))|~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(spm,[status(thm)],[c_0_106, c_0_81])).
cnf(c_0_116, plain, (r1_xxreal_0(np__4,np__4)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r4_r4])).
cnf(c_0_117, negated_conjecture, (k3_newton07(np__3)!=k9_finseq_4(k4_ordinal1,np__1,np__3,np__3,np__1)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_118, 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_108, c_0_46]), c_0_109])).
cnf(c_0_119, plain, (k7_finseq_4(np__1,np__3,np__3,k1_funct_1(k3_newton07(np__3),np__4))=k3_newton07(np__3)|~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_112]), c_0_113]), c_0_114])])).
cnf(c_0_120, plain, (k1_funct_1(k3_newton07(np__3),np__4)=np__1|~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_96]), c_0_101]), c_0_116]), c_0_54])])).
cnf(c_0_121, negated_conjecture, (k7_finseq_4(np__1,np__3,np__3,np__1)!=k3_newton07(np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_39]), c_0_46])])).
cnf(c_0_122, plain, (~v1_finseq_1(k3_newton07(np__3))|~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_121])).
cnf(c_0_123, plain, (~v1_funct_1(k3_newton07(np__3))|~v1_relat_1(k3_newton07(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_59]), c_0_45])])).
cnf(c_0_124, plain, (~v1_relat_1(k3_newton07(np__3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_61]), c_0_45])])).
cnf(c_0_125, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_64]), c_0_45])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 126
# Proof object clause steps            : 78
# Proof object formula steps           : 48
# Proof object conjectures             : 4
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 36
# Proof object generating inferences   : 37
# Proof object simplifying inferences  : 87
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 36
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 52
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 52
# Processed clauses                    : 571
# ...of these trivial                  : 7
# ...subsumed                          : 168
# ...remaining for further processing  : 396
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 38
# Backward-rewritten                   : 7
# Generated clauses                    : 1833
# ...of the previous two non-trivial   : 1527
# Contextual simplify-reflections      : 10
# Paramodulations                      : 1817
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 16
# 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  : 298
#    Positive orientable unit clauses  : 44
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 250
# Current number of unprocessed clauses: 1035
# ...number of literals in the above   : 9248
# Current number of archived formulas  : 0
# Current number of archived clauses   : 97
# Clause-clause subsumption calls (NU) : 15590
# Rec. Clause-clause subsumption calls : 1932
# Non-unit clause-clause subsumptions  : 214
# Unit Clause-clause subsumption calls : 147
# 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          : 55986

# -------------------------------------------------
# User time                : 0.068 s
# System time              : 0.004 s
# Total time               : 0.071 s
# Maximum resident set size: 3440 pages
