# 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(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__t97_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__t97_newton07', fc18_newton07)).
fof(d1_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>k1_finseq_1(X1)=a_1_0_finseq_1(X1)), file('newton07/newton07__t97_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__t97_newton07', redefinition_k2_finseq_1)).
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__t97_newton07', redefinition_k1_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t97_newton07', cc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc1_numerals)).
fof(spc7_numerals, axiom, (v2_xxreal_0(np__7)&m1_subset_1(np__7,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc7_numerals)).
fof(rqRealAdd__k2_xcmplx_0__r7_r1_r8, axiom, k2_xcmplx_0(np__7,np__1)=np__8, file('newton07/newton07__t97_newton07', rqRealAdd__k2_xcmplx_0__r7_r1_r8)).
fof(spc8_numerals, axiom, (v2_xxreal_0(np__8)&m1_subset_1(np__8,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc8_numerals)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(np__1,np__1)=np__0, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
fof(rqRealDiff__k6_xcmplx_0__r7_r1_r6, axiom, k6_xcmplx_0(np__7,np__1)=np__6, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r7_r1_r6)).
fof(redefinition_k9_aofa_a00, axiom, ![X1, X2, X3, X4, X5, X6, X7, X8, X9]:(((((((((~(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))&m1_subset_1(X7,X1))&m1_subset_1(X8,X1))&m1_subset_1(X9,X1))=>k9_aofa_a00(X1,X2,X3,X4,X5,X6,X7,X8,X9)=k8_aofa_a00(X2,X3,X4,X5,X6,X7,X8,X9)), file('newton07/newton07__t97_newton07', redefinition_k9_aofa_a00)).
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__t97_newton07', fraenkel_a_1_0_finseq_1)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc2_numerals)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc3_numerals)).
fof(spc4_numerals, axiom, (v2_xxreal_0(np__4)&m1_subset_1(np__4,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc4_numerals)).
fof(spc5_numerals, axiom, (v2_xxreal_0(np__5)&m1_subset_1(np__5,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc5_numerals)).
fof(spc6_numerals, axiom, (v2_xxreal_0(np__6)&m1_subset_1(np__6,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc6_numerals)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('newton07/newton07__t97_newton07', fc6_ordinal1)).
fof(rqRealDiff__k6_xcmplx_0__r8_r8_r0, axiom, k6_xcmplx_0(np__8,np__8)=np__0, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r8_r0)).
fof(rqRealDiff__k6_xcmplx_0__r8_r1_r7, axiom, k6_xcmplx_0(np__8,np__1)=np__7, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r1_r7)).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(np__7,np__0)=np__0, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r7_r0_r0)).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(np__0,np__1)=np__1, file('newton07/newton07__t97_newton07', rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(np__0,np__7)=np__0, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r0_r7_r0)).
fof(rqRealDiff__k6_xcmplx_0__r8_r2_r6, axiom, k6_xcmplx_0(np__8,np__2)=np__6, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r2_r6)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(np__2,np__1)=np__1, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(np__1,np__6)=np__6, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r1_r6_r6)).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(np__6,np__1)=np__7, file('newton07/newton07__t97_newton07', rqRealAdd__k2_xcmplx_0__r6_r1_r7)).
fof(rqRealDiff__k6_xcmplx_0__r8_r3_r5, axiom, k6_xcmplx_0(np__8,np__3)=np__5, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r3_r5)).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(np__3,np__1)=np__2, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r3_r1_r2)).
fof(rqRealMult__k3_xcmplx_0__r2_r5_r10, axiom, k3_xcmplx_0(np__2,np__5)=np__10, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r2_r5_r10)).
fof(rqRealAdd__k2_xcmplx_0__r10_r1_r11, axiom, k2_xcmplx_0(np__10,np__1)=np__11, file('newton07/newton07__t97_newton07', rqRealAdd__k2_xcmplx_0__r10_r1_r11)).
fof(rqRealDiff__k6_xcmplx_0__r8_r4_r4, axiom, k6_xcmplx_0(np__8,np__4)=np__4, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r4_r4)).
fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(np__4,np__1)=np__3, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r4_r1_r3)).
fof(rqRealMult__k3_xcmplx_0__r3_r4_r12, axiom, k3_xcmplx_0(np__3,np__4)=np__12, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r3_r4_r12)).
fof(rqRealAdd__k2_xcmplx_0__r12_r1_r13, axiom, k2_xcmplx_0(np__12,np__1)=np__13, file('newton07/newton07__t97_newton07', rqRealAdd__k2_xcmplx_0__r12_r1_r13)).
fof(rqRealDiff__k6_xcmplx_0__r8_r5_r3, axiom, k6_xcmplx_0(np__8,np__5)=np__3, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r5_r3)).
fof(rqRealDiff__k6_xcmplx_0__r5_r1_r4, axiom, k6_xcmplx_0(np__5,np__1)=np__4, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r5_r1_r4)).
fof(rqRealMult__k3_xcmplx_0__r4_r3_r12, axiom, k3_xcmplx_0(np__4,np__3)=np__12, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r4_r3_r12)).
fof(rqRealDiff__k6_xcmplx_0__r8_r6_r2, axiom, k6_xcmplx_0(np__8,np__6)=np__2, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r6_r2)).
fof(rqRealDiff__k6_xcmplx_0__r6_r1_r5, axiom, k6_xcmplx_0(np__6,np__1)=np__5, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r6_r1_r5)).
fof(rqRealMult__k3_xcmplx_0__r5_r2_r10, axiom, k3_xcmplx_0(np__5,np__2)=np__10, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r5_r2_r10)).
fof(rqRealDiff__k6_xcmplx_0__r8_r7_r1, axiom, k6_xcmplx_0(np__8,np__7)=np__1, file('newton07/newton07__t97_newton07', rqRealDiff__k6_xcmplx_0__r8_r7_r1)).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(np__6,np__1)=np__6, file('newton07/newton07__t97_newton07', rqRealMult__k3_xcmplx_0__r6_r1_r6)).
fof(t97_newton07, conjecture, k3_newton07(np__7)=k9_aofa_a00(k4_ordinal1,np__1,np__7,np__11,np__13,np__13,np__11,np__7,np__1), file('newton07/newton07__t97_newton07', t97_newton07)).
fof(rd15_newton07, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v3_card_1(X1,np__8))&v1_finseq_1(X1))=>k8_aofa_a00(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),k1_funct_1(X1,np__6),k1_funct_1(X1,np__7),k1_funct_1(X1,np__8))=X1), file('newton07/newton07__t97_newton07', rd15_newton07)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(np__1,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(np__8,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r8_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(np__1,np__1), file('newton07/newton07__t97_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__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(np__2,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r2_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(np__1,np__3), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(np__3,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r3_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(np__1,np__4), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(np__4,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r4_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(np__1,np__5), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8, axiom, r1_xxreal_0(np__5,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r5_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(np__1,np__6), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8, axiom, r1_xxreal_0(np__6,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r6_r8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(np__1,np__7), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r1_r7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r8, axiom, r1_xxreal_0(np__7,np__8), file('newton07/newton07__t97_newton07', rqLessOrEqual__r1_xxreal_0__r7_r8)).
fof(spc11_numerals, axiom, (v2_xxreal_0(np__11)&m1_subset_1(np__11,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc11_numerals)).
fof(spc13_numerals, axiom, (v2_xxreal_0(np__13)&m1_subset_1(np__13,k4_ordinal1)), file('newton07/newton07__t97_newton07', spc13_numerals)).
fof(c_0_64, plain, ![X34, X35, X36]:(((k4_finseq_1(X35)=k2_finseq_1(k1_nat_1(X34,np__1))|X35!=k3_newton07(X34)|(~v1_relat_1(X35)|~v1_funct_1(X35)|~v1_finseq_1(X35))|~v7_ordinal1(X34))&(~v7_ordinal1(X36)|(~r2_hidden(X36,k4_finseq_1(X35))|k1_funct_1(X35,X36)=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X36,np__1),k6_xcmplx_0(k1_nat_1(X34,np__1),X36)),np__1))|X35!=k3_newton07(X34)|(~v1_relat_1(X35)|~v1_funct_1(X35)|~v1_finseq_1(X35))|~v7_ordinal1(X34)))&((v7_ordinal1(esk1_2(X34,X35))|k4_finseq_1(X35)!=k2_finseq_1(k1_nat_1(X34,np__1))|X35=k3_newton07(X34)|(~v1_relat_1(X35)|~v1_funct_1(X35)|~v1_finseq_1(X35))|~v7_ordinal1(X34))&((r2_hidden(esk1_2(X34,X35),k4_finseq_1(X35))|k4_finseq_1(X35)!=k2_finseq_1(k1_nat_1(X34,np__1))|X35=k3_newton07(X34)|(~v1_relat_1(X35)|~v1_funct_1(X35)|~v1_finseq_1(X35))|~v7_ordinal1(X34))&(k1_funct_1(X35,esk1_2(X34,X35))!=k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(esk1_2(X34,X35),np__1),k6_xcmplx_0(k1_nat_1(X34,np__1),esk1_2(X34,X35))),np__1)|k4_finseq_1(X35)!=k2_finseq_1(k1_nat_1(X34,np__1))|X35=k3_newton07(X34)|(~v1_relat_1(X35)|~v1_funct_1(X35)|~v1_finseq_1(X35))|~v7_ordinal1(X34))))), 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_65, plain, ![X38]:((((v1_relat_1(k3_newton07(X38))|~v7_ordinal1(X38))&(v1_funct_1(k3_newton07(X38))|~v7_ordinal1(X38)))&(v3_card_1(k3_newton07(X38),k1_nat_1(X38,np__1))|~v7_ordinal1(X38)))&(v1_finseq_1(k3_newton07(X38))|~v7_ordinal1(X38))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc18_newton07])])])).
fof(c_0_66, plain, ![X33]:(~v7_ordinal1(X33)|k1_finseq_1(X33)=a_1_0_finseq_1(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finseq_1])])).
fof(c_0_67, plain, ![X46]:(~v7_ordinal1(X46)|k2_finseq_1(X46)=k1_finseq_1(X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_finseq_1])])).
cnf(c_0_68, 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_64])).
cnf(c_0_69, plain, (v1_relat_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_70, plain, (v1_funct_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_71, plain, (v1_finseq_1(k3_newton07(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
fof(c_0_72, plain, ![X44, X45]:(~v7_ordinal1(X44)|~m1_subset_1(X45,k4_ordinal1)|k1_nat_1(X44,X45)=k2_xcmplx_0(X44,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
fof(c_0_73, plain, ![X32]:(~m1_subset_1(X32,k4_ordinal1)|v7_ordinal1(X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_74, plain, (k1_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_75, plain, (k2_finseq_1(X1)=k1_finseq_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_76, 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_68]), c_0_69]), c_0_70]), c_0_71])).
cnf(c_0_77, 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_72])).
cnf(c_0_78, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_79, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_80, plain, (m1_subset_1(np__7,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc7_numerals])).
cnf(c_0_81, 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_64])).
cnf(c_0_82, plain, (k2_finseq_1(X1)=a_1_0_finseq_1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_83, plain, (k2_finseq_1(k2_xcmplx_0(X1,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_76, c_0_77]), c_0_78])])).
cnf(c_0_84, plain, (k2_xcmplx_0(np__7,np__1)=np__8), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r7_r1_r8])).
cnf(c_0_85, plain, (v7_ordinal1(np__7)), inference(spm,[status(thm)],[c_0_79, c_0_80])).
cnf(c_0_86, plain, (m1_subset_1(np__8,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc8_numerals])).
cnf(c_0_87, 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_81]), c_0_69]), c_0_70]), c_0_71])).
cnf(c_0_88, plain, (a_1_0_finseq_1(k2_xcmplx_0(X1,np__1))=k4_finseq_1(k3_newton07(X1))|~v7_ordinal1(k2_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_89, plain, (k4_finseq_1(k3_newton07(np__7))=k2_finseq_1(np__8)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])])).
cnf(c_0_90, plain, (v7_ordinal1(np__8)), inference(spm,[status(thm)],[c_0_79, c_0_86])).
cnf(c_0_91, 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_92, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_79, c_0_78])).
cnf(c_0_93, plain, (k6_xcmplx_0(np__7,np__1)=np__6), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r7_r1_r6])).
fof(c_0_94, plain, ![X1, X2, X3, X4, X5, X6, X7, X8, X9]:(((((((((~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))&m1_subset_1(X7,X1))&m1_subset_1(X8,X1))&m1_subset_1(X9,X1))=>k9_aofa_a00(X1,X2,X3,X4,X5,X6,X7,X8,X9)=k8_aofa_a00(X2,X3,X4,X5,X6,X7,X8,X9)), inference(fof_simplification,[status(thm)],[redefinition_k9_aofa_a00])).
cnf(c_0_95, plain, (k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X1,np__1),k6_xcmplx_0(k2_xcmplx_0(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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_77]), c_0_78])])).
cnf(c_0_96, plain, (k2_finseq_1(np__8)=a_1_0_finseq_1(np__8)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_84]), c_0_89]), c_0_90]), c_0_85])])).
fof(c_0_97, plain, ![X39, X40, X42]:(((((v7_ordinal1(esk2_2(X39,X40))|~r2_hidden(X39,a_1_0_finseq_1(X40))|~v7_ordinal1(X40))&(X39=esk2_2(X39,X40)|~r2_hidden(X39,a_1_0_finseq_1(X40))|~v7_ordinal1(X40)))&(r1_xxreal_0(np__1,esk2_2(X39,X40))|~r2_hidden(X39,a_1_0_finseq_1(X40))|~v7_ordinal1(X40)))&(r1_xxreal_0(esk2_2(X39,X40),X40)|~r2_hidden(X39,a_1_0_finseq_1(X40))|~v7_ordinal1(X40)))&(~v7_ordinal1(X42)|X39!=X42|~r1_xxreal_0(np__1,X42)|~r1_xxreal_0(X42,X40)|r2_hidden(X39,a_1_0_finseq_1(X40))|~v7_ordinal1(X40))), 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_98, 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_87, c_0_91]), c_0_92])])).
cnf(c_0_99, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_100, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
cnf(c_0_101, plain, (m1_subset_1(np__4,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc4_numerals])).
cnf(c_0_102, plain, (m1_subset_1(np__5,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc5_numerals])).
cnf(c_0_103, plain, (m1_subset_1(np__6,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc6_numerals])).
cnf(c_0_104, plain, (k2_xcmplx_0(k3_xcmplx_0(np__6,k6_xcmplx_0(k1_nat_1(X1,np__1),np__7)),np__1)=k1_funct_1(k3_newton07(X1),np__7)|~r2_hidden(np__7,k4_finseq_1(k3_newton07(X1)))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_93]), c_0_85])])).
fof(c_0_105, plain, ![X47, X48, X49, X50, X51, X52, X53, X54, X55]:(v1_xboole_0(X47)|~m1_subset_1(X48,X47)|~m1_subset_1(X49,X47)|~m1_subset_1(X50,X47)|~m1_subset_1(X51,X47)|~m1_subset_1(X52,X47)|~m1_subset_1(X53,X47)|~m1_subset_1(X54,X47)|~m1_subset_1(X55,X47)|k9_aofa_a00(X47,X48,X49,X50,X51,X52,X53,X54,X55)=k8_aofa_a00(X48,X49,X50,X51,X52,X53,X54,X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])).
fof(c_0_106, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
cnf(c_0_107, plain, (k2_xcmplx_0(k3_xcmplx_0(k6_xcmplx_0(X1,np__1),k6_xcmplx_0(np__8,X1)),np__1)=k1_funct_1(k3_newton07(np__7),X1)|~r2_hidden(X1,a_1_0_finseq_1(np__8))|~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_95, c_0_84]), c_0_89]), c_0_96]), c_0_85])])).
cnf(c_0_108, plain, (k6_xcmplx_0(np__8,np__8)=np__0), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r8_r0])).
cnf(c_0_109, plain, (k6_xcmplx_0(np__8,np__1)=np__7), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r1_r7])).
cnf(c_0_110, plain, (k3_xcmplx_0(np__7,np__0)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r7_r0_r0])).
cnf(c_0_111, 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_112, 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_97])).
cnf(c_0_113, plain, (k2_xcmplx_0(k3_xcmplx_0(np__0,k6_xcmplx_0(k2_xcmplx_0(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_98, c_0_77]), c_0_78])])).
cnf(c_0_114, plain, (k3_xcmplx_0(np__0,np__7)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r0_r7_r0])).
cnf(c_0_115, plain, (k6_xcmplx_0(np__8,np__2)=np__6), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r2_r6])).
cnf(c_0_116, 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_117, plain, (k3_xcmplx_0(np__1,np__6)=np__6), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r1_r6_r6])).
cnf(c_0_118, plain, (k2_xcmplx_0(np__6,np__1)=np__7), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r6_r1_r7])).
cnf(c_0_119, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_79, c_0_99])).
cnf(c_0_120, plain, (k6_xcmplx_0(np__8,np__3)=np__5), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r3_r5])).
cnf(c_0_121, plain, (k6_xcmplx_0(np__3,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r3_r1_r2])).
cnf(c_0_122, plain, (k3_xcmplx_0(np__2,np__5)=np__10), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r2_r5_r10])).
cnf(c_0_123, plain, (k2_xcmplx_0(np__10,np__1)=np__11), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r10_r1_r11])).
cnf(c_0_124, plain, (v7_ordinal1(np__3)), inference(spm,[status(thm)],[c_0_79, c_0_100])).
cnf(c_0_125, plain, (k6_xcmplx_0(np__8,np__4)=np__4), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r4_r4])).
cnf(c_0_126, 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_127, plain, (k3_xcmplx_0(np__3,np__4)=np__12), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r3_r4_r12])).
cnf(c_0_128, plain, (k2_xcmplx_0(np__12,np__1)=np__13), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r12_r1_r13])).
cnf(c_0_129, plain, (v7_ordinal1(np__4)), inference(spm,[status(thm)],[c_0_79, c_0_101])).
cnf(c_0_130, plain, (k6_xcmplx_0(np__8,np__5)=np__3), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r5_r3])).
cnf(c_0_131, 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_132, plain, (k3_xcmplx_0(np__4,np__3)=np__12), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r4_r3_r12])).
cnf(c_0_133, plain, (v7_ordinal1(np__5)), inference(spm,[status(thm)],[c_0_79, c_0_102])).
cnf(c_0_134, plain, (k6_xcmplx_0(np__8,np__6)=np__2), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r6_r2])).
cnf(c_0_135, plain, (k6_xcmplx_0(np__6,np__1)=np__5), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r6_r1_r5])).
cnf(c_0_136, plain, (k3_xcmplx_0(np__5,np__2)=np__10), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r5_r2_r10])).
cnf(c_0_137, plain, (v7_ordinal1(np__6)), inference(spm,[status(thm)],[c_0_79, c_0_103])).
cnf(c_0_138, plain, (k2_xcmplx_0(k3_xcmplx_0(np__6,k6_xcmplx_0(k2_xcmplx_0(X1,np__1),np__7)),np__1)=k1_funct_1(k3_newton07(X1),np__7)|~r2_hidden(np__7,k4_finseq_1(k3_newton07(X1)))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_77]), c_0_78])])).
cnf(c_0_139, plain, (k6_xcmplx_0(np__8,np__7)=np__1), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r8_r7_r1])).
cnf(c_0_140, plain, (k3_xcmplx_0(np__6,np__1)=np__6), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r6_r1_r6])).
cnf(c_0_141, plain, (v3_card_1(k3_newton07(X1),k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
fof(c_0_142, negated_conjecture, k3_newton07(np__7)!=k9_aofa_a00(k4_ordinal1,np__1,np__7,np__11,np__13,np__13,np__11,np__7,np__1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t97_newton07])])).
cnf(c_0_143, plain, (v1_xboole_0(X1)|k9_aofa_a00(X1,X2,X3,X4,X5,X6,X7,X8,X9)=k8_aofa_a00(X2,X3,X4,X5,X6,X7,X8,X9)|~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)|~m1_subset_1(X7,X1)|~m1_subset_1(X8,X1)|~m1_subset_1(X9,X1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_144, plain, (~v1_xboole_0(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_106])).
fof(c_0_145, plain, ![X43]:(~v1_relat_1(X43)|~v1_funct_1(X43)|~v3_card_1(X43,np__8)|~v1_finseq_1(X43)|k8_aofa_a00(k1_funct_1(X43,np__1),k1_funct_1(X43,np__2),k1_funct_1(X43,np__3),k1_funct_1(X43,np__4),k1_funct_1(X43,np__5),k1_funct_1(X43,np__6),k1_funct_1(X43,np__7),k1_funct_1(X43,np__8))=X43), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd15_newton07])])).
cnf(c_0_146, plain, (k1_funct_1(k3_newton07(np__7),np__8)=np__1|~r2_hidden(np__8,a_1_0_finseq_1(np__8))), 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_107, c_0_108]), c_0_109]), c_0_110]), c_0_111]), c_0_90])])).
cnf(c_0_147, 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_112])).
cnf(c_0_148, plain, (r1_xxreal_0(np__1,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r8])).
cnf(c_0_149, plain, (r1_xxreal_0(np__8,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r8_r8])).
cnf(c_0_150, plain, (k1_funct_1(k3_newton07(np__7),np__1)=np__1|~r2_hidden(np__1,a_1_0_finseq_1(np__8))), 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_113, c_0_84]), c_0_109]), c_0_114]), c_0_111]), c_0_89]), c_0_96]), c_0_85])])).
cnf(c_0_151, plain, (r1_xxreal_0(np__1,np__1)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r1])).
cnf(c_0_152, plain, (k1_funct_1(k3_newton07(np__7),np__2)=np__7|~r2_hidden(np__2,a_1_0_finseq_1(np__8))), 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_107, c_0_115]), c_0_116]), c_0_117]), c_0_118]), c_0_119])])).
cnf(c_0_153, plain, (r1_xxreal_0(np__1,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r2])).
cnf(c_0_154, plain, (r1_xxreal_0(np__2,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r2_r8])).
cnf(c_0_155, plain, (k1_funct_1(k3_newton07(np__7),np__3)=np__11|~r2_hidden(np__3,a_1_0_finseq_1(np__8))), 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_107, c_0_120]), c_0_121]), c_0_122]), c_0_123]), c_0_124])])).
cnf(c_0_156, plain, (r1_xxreal_0(np__1,np__3)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r3])).
cnf(c_0_157, plain, (r1_xxreal_0(np__3,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r3_r8])).
cnf(c_0_158, plain, (k1_funct_1(k3_newton07(np__7),np__4)=np__13|~r2_hidden(np__4,a_1_0_finseq_1(np__8))), 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_107, c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129])])).
cnf(c_0_159, plain, (r1_xxreal_0(np__1,np__4)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r4])).
cnf(c_0_160, plain, (r1_xxreal_0(np__4,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r4_r8])).
cnf(c_0_161, plain, (k1_funct_1(k3_newton07(np__7),np__5)=np__13|~r2_hidden(np__5,a_1_0_finseq_1(np__8))), 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_107, c_0_130]), c_0_131]), c_0_132]), c_0_128]), c_0_133])])).
cnf(c_0_162, plain, (r1_xxreal_0(np__1,np__5)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r5])).
cnf(c_0_163, plain, (r1_xxreal_0(np__5,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r5_r8])).
cnf(c_0_164, plain, (k1_funct_1(k3_newton07(np__7),np__6)=np__11|~r2_hidden(np__6,a_1_0_finseq_1(np__8))), 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_107, c_0_134]), c_0_135]), c_0_136]), c_0_123]), c_0_137])])).
cnf(c_0_165, plain, (r1_xxreal_0(np__1,np__6)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r6])).
cnf(c_0_166, plain, (r1_xxreal_0(np__6,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r6_r8])).
cnf(c_0_167, plain, (k1_funct_1(k3_newton07(np__7),np__7)=np__7|~r2_hidden(np__7,a_1_0_finseq_1(np__8))), 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_138, c_0_84]), c_0_139]), c_0_140]), c_0_118]), c_0_89]), c_0_96]), c_0_85])])).
cnf(c_0_168, plain, (r1_xxreal_0(np__1,np__7)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r7])).
cnf(c_0_169, plain, (r1_xxreal_0(np__7,np__8)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r7_r8])).
cnf(c_0_170, plain, (v3_card_1(k3_newton07(X1),k2_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_77]), c_0_78])])).
cnf(c_0_171, negated_conjecture, (k3_newton07(np__7)!=k9_aofa_a00(k4_ordinal1,np__1,np__7,np__11,np__13,np__13,np__11,np__7,np__1)), inference(split_conjunct,[status(thm)],[c_0_142])).
cnf(c_0_172, plain, (k9_aofa_a00(k4_ordinal1,X1,X2,X3,X4,X5,X6,X7,np__1)=k8_aofa_a00(X1,X2,X3,X4,X5,X6,X7,np__1)|~m1_subset_1(X7,k4_ordinal1)|~m1_subset_1(X6,k4_ordinal1)|~m1_subset_1(X5,k4_ordinal1)|~m1_subset_1(X4,k4_ordinal1)|~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_143, c_0_78]), c_0_144])).
cnf(c_0_173, plain, (m1_subset_1(np__11,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc11_numerals])).
cnf(c_0_174, plain, (m1_subset_1(np__13,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc13_numerals])).
cnf(c_0_175, plain, (k8_aofa_a00(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),k1_funct_1(X1,np__6),k1_funct_1(X1,np__7),k1_funct_1(X1,np__8))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v3_card_1(X1,np__8)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_145])).
cnf(c_0_176, plain, (k1_funct_1(k3_newton07(np__7),np__8)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_148]), c_0_149]), c_0_90])])).
cnf(c_0_177, plain, (k1_funct_1(k3_newton07(np__7),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_150, c_0_147]), c_0_151]), c_0_148]), c_0_90]), c_0_92])])).
cnf(c_0_178, plain, (k1_funct_1(k3_newton07(np__7),np__2)=np__7), 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_152, c_0_147]), c_0_153]), c_0_154]), c_0_90]), c_0_119])])).
cnf(c_0_179, plain, (k1_funct_1(k3_newton07(np__7),np__3)=np__11), 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_155, c_0_147]), c_0_156]), c_0_157]), c_0_90]), c_0_124])])).
cnf(c_0_180, plain, (k1_funct_1(k3_newton07(np__7),np__4)=np__13), 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_158, c_0_147]), c_0_159]), c_0_160]), c_0_90]), c_0_129])])).
cnf(c_0_181, plain, (k1_funct_1(k3_newton07(np__7),np__5)=np__13), 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_161, c_0_147]), c_0_162]), c_0_163]), c_0_90]), c_0_133])])).
cnf(c_0_182, plain, (k1_funct_1(k3_newton07(np__7),np__6)=np__11), 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_164, c_0_147]), c_0_165]), c_0_166]), c_0_90]), c_0_137])])).
cnf(c_0_183, plain, (k1_funct_1(k3_newton07(np__7),np__7)=np__7), 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_167, c_0_147]), c_0_168]), c_0_169]), c_0_90]), c_0_85])])).
cnf(c_0_184, plain, (v3_card_1(k3_newton07(np__7),np__8)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_84]), c_0_85])])).
cnf(c_0_185, negated_conjecture, (k8_aofa_a00(np__1,np__7,np__11,np__13,np__13,np__11,np__7,np__1)!=k3_newton07(np__7)), 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_171, c_0_172]), c_0_80]), c_0_173]), c_0_174]), c_0_78])])).
cnf(c_0_186, plain, (~v1_finseq_1(k3_newton07(np__7))|~v1_funct_1(k3_newton07(np__7))|~v1_relat_1(k3_newton07(np__7))), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_176]), c_0_177]), c_0_178]), c_0_179]), c_0_180]), c_0_181]), c_0_182]), c_0_183]), c_0_184])]), c_0_185])).
cnf(c_0_187, plain, (~v1_funct_1(k3_newton07(np__7))|~v1_relat_1(k3_newton07(np__7))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_71]), c_0_85])])).
cnf(c_0_188, plain, (~v1_relat_1(k3_newton07(np__7))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_70]), c_0_85])])).
cnf(c_0_189, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_69]), c_0_85])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 190
# Proof object clause steps            : 114
# Proof object formula steps           : 76
# Proof object conjectures             : 4
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 68
# Proof object initial formulas used   : 64
# Proof object generating inferences   : 45
# Proof object simplifying inferences  : 138
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 64
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 86
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 86
# Processed clauses                    : 4562
# ...of these trivial                  : 62
# ...subsumed                          : 2532
# ...remaining for further processing  : 1968
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 82
# Backward-rewritten                   : 11
# Generated clauses                    : 27903
# ...of the previous two non-trivial   : 25823
# Contextual simplify-reflections      : 218
# Paramodulations                      : 27822
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 81
# 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  : 1788
#    Positive orientable unit clauses  : 89
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 1695
# Current number of unprocessed clauses: 21142
# ...number of literals in the above   : 212710
# Current number of archived formulas  : 0
# Current number of archived clauses   : 179
# Clause-clause subsumption calls (NU) : 551164
# Rec. Clause-clause subsumption calls : 18751
# Non-unit clause-clause subsumptions  : 2832
# Unit Clause-clause subsumption calls : 2533
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 11
# BW rewrite match successes           : 11
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 836113

# -------------------------------------------------
# User time                : 0.773 s
# System time              : 0.016 s
# Total time               : 0.789 s
# Maximum resident set size: 3444 pages
