# 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       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton07/newton07__t40_newton07', cc3_int_1)).
fof(cc5_int_1, axiom, ![X1]:(v2_int_1(X1)=>v1_int_1(X1)), file('newton07/newton07__t40_newton07', cc5_int_1)).
fof(cc4_xxreal_0, axiom, ![X1]:(((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))=>(v1_xxreal_0(X1)&v2_xxreal_0(X1))), file('newton07/newton07__t40_newton07', cc4_xxreal_0)).
fof(cc3_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~(v3_xxreal_0(X1)))), file('newton07/newton07__t40_newton07', cc3_nat_1)).
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__t40_newton07', fc3_xreal_0)).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(np__1)), file('newton07/newton07__t40_newton07', fc6_int_1)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('newton07/newton07__t40_newton07', cc2_xxreal_0)).
fof(t40_newton07, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:(v7_ordinal1(X2)=>k4_nat_d(k4_newton(k6_xcmplx_0(X1,np__1),X2),X1)=k4_nat_d(k4_newton(k6_xcmplx_0(X1,np__1),k4_nat_d(X2,X1)),X1))), file('newton07/newton07__t40_newton07', t40_newton07)).
fof(commutativity_k2_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)), file('newton07/newton07__t40_newton07', commutativity_k2_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1, file('newton07/newton07__t40_newton07', rqRealNeg__k4_xcmplx_0__rm1_r1)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t40_newton07', cc1_xcmplx_0)).
fof(t1_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k2_xcmplx_0(X1,k5_numbers)=X1), file('newton07/newton07__t40_newton07', t1_arithm)).
fof(cc13_ordinal1, axiom, ![X1]:(~(v1_zfmisc_1(X1))=>~(v8_ordinal1(X1))), file('newton07/newton07__t40_newton07', cc13_ordinal1)).
fof(fc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v2_xxreal_0(X1))=>v7_ordinal1(k6_xcmplx_0(X1,np__1))), file('newton07/newton07__t40_newton07', fc1_nat_6)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t40_newton07', cc3_xreal_0)).
fof(t6_xreal_1, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>![X3]:(v1_xreal_0(X3)=>(r1_xxreal_0(X1,X2)<=>r1_xxreal_0(k2_xcmplx_0(X1,X3),k2_xcmplx_0(X2,X3)))))), file('newton07/newton07__t40_newton07', t6_xreal_1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('newton07/newton07__t40_newton07', cc2_xreal_0)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton07/newton07__t40_newton07', redefinition_k5_numbers)).
fof(t36_newton07, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(~(r1_xxreal_0(X1,X3))=>k4_nat_d(k4_newton(X3,X2),X1)=k4_nat_d(k4_newton(X3,k4_nat_d(X2,X1)),X1))))), file('newton07/newton07__t40_newton07', t36_newton07)).
fof(cc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~(v1_zfmisc_1(X1))&v7_ordinal1(X1))), file('newton07/newton07__t40_newton07', cc1_nat_6)).
fof(spc1_arithm, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,k4_xcmplx_0(X2))=k6_xcmplx_0(X1,X2)), file('newton07/newton07__t40_newton07', spc1_arithm)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton07/newton07__t40_newton07', fc8_ordinal1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1),np__1)=np__0, file('newton07/newton07__t40_newton07', rqRealAdd__k2_xcmplx_0__rm1_r1_r0)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom, ~(r1_xxreal_0(np__1,np__0)), file('newton07/newton07__t40_newton07', rqLessOrEqual__r1_xxreal_0__r1_r0)).
fof(c_0_24, plain, ![X36]:(~v1_int_1(X36)|v1_xreal_0(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
fof(c_0_25, plain, ![X40]:(~v2_int_1(X40)|v1_int_1(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_int_1])])).
cnf(c_0_26, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_27, plain, (v1_int_1(X1)|~v2_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_28, plain, ![X1]:(((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v3_xxreal_0(X1))=>(v1_xxreal_0(X1)&v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_xxreal_0])).
fof(c_0_29, plain, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_nat_1])).
fof(c_0_30, plain, ![X44]:((v1_xcmplx_0(k4_xcmplx_0(X44))|~v1_xreal_0(X44))&(v1_xreal_0(k4_xcmplx_0(X44))|~v1_xreal_0(X44))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_xreal_0])])])).
cnf(c_0_31, plain, (v1_xreal_0(X1)|~v2_int_1(X1)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_32, plain, (v2_int_1(k4_xcmplx_0(np__1))), inference(split_conjunct,[status(thm)],[fc6_int_1])).
fof(c_0_33, plain, ![X39]:((v1_xxreal_0(X39)|(v8_ordinal1(X39)|~v1_xxreal_0(X39)|v3_xxreal_0(X39)))&(v2_xxreal_0(X39)|(v8_ordinal1(X39)|~v1_xxreal_0(X39)|v3_xxreal_0(X39)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
fof(c_0_34, plain, ![X35]:(~v7_ordinal1(X35)|v1_xxreal_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_35, plain, ![X37]:((v7_ordinal1(X37)|~v7_ordinal1(X37))&(~v3_xxreal_0(X37)|~v7_ordinal1(X37))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
fof(c_0_36, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:(v7_ordinal1(X2)=>k4_nat_d(k4_newton(k6_xcmplx_0(X1,np__1),X2),X1)=k4_nat_d(k4_newton(k6_xcmplx_0(X1,np__1),k4_nat_d(X2,X1)),X1)))), inference(assume_negation,[status(cth)],[t40_newton07])).
fof(c_0_37, plain, ![X41, X42]:(~v1_xcmplx_0(X41)|~v1_xcmplx_0(X42)|k2_xcmplx_0(X41,X42)=k2_xcmplx_0(X42,X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
cnf(c_0_38, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_39, plain, (k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1), inference(split_conjunct,[status(thm)],[rqRealNeg__k4_xcmplx_0__rm1_r1])).
cnf(c_0_40, plain, (v1_xreal_0(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_41, plain, (v2_xxreal_0(X1)|v8_ordinal1(X1)|v3_xxreal_0(X1)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_42, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_43, plain, (~v3_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_44, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&(v7_ordinal1(esk2_0)&k4_nat_d(k4_newton(k6_xcmplx_0(esk1_0,np__1),esk2_0),esk1_0)!=k4_nat_d(k4_newton(k6_xcmplx_0(esk1_0,np__1),k4_nat_d(esk2_0,esk1_0)),esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
fof(c_0_45, plain, ![X33]:(~v7_ordinal1(X33)|v1_xcmplx_0(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
cnf(c_0_46, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_47, plain, (v1_xcmplx_0(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])])).
fof(c_0_48, plain, ![X47]:(~v1_xcmplx_0(X47)|k2_xcmplx_0(X47,k5_numbers)=X47), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_arithm])])).
fof(c_0_49, plain, ![X1]:(~v1_zfmisc_1(X1)=>~v8_ordinal1(X1)), inference(fof_simplification,[status(thm)],[cc13_ordinal1])).
fof(c_0_50, plain, ![X43]:(~v7_ordinal1(X43)|~v2_xxreal_0(X43)|v7_ordinal1(k6_xcmplx_0(X43,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_nat_6])])).
cnf(c_0_51, plain, (v2_xxreal_0(X1)|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])).
cnf(c_0_52, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_53, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_54, plain, ![X38]:(~v1_xreal_0(X38)|v1_xcmplx_0(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_55, plain, ![X51, X52, X53]:((~r1_xxreal_0(X51,X52)|r1_xxreal_0(k2_xcmplx_0(X51,X53),k2_xcmplx_0(X52,X53))|~v1_xreal_0(X53)|~v1_xreal_0(X52)|~v1_xreal_0(X51))&(~r1_xxreal_0(k2_xcmplx_0(X51,X53),k2_xcmplx_0(X52,X53))|r1_xxreal_0(X51,X52)|~v1_xreal_0(X53)|~v1_xreal_0(X52)|~v1_xreal_0(X51))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_xreal_1])])])])).
cnf(c_0_56, plain, (k2_xcmplx_0(X1,np__1)=k2_xcmplx_0(np__1,X1)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_57, plain, (v1_xreal_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_58, plain, ![X34]:(~v7_ordinal1(X34)|v1_xreal_0(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_59, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_60, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_61, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(~r1_xxreal_0(X1,X3)=>k4_nat_d(k4_newton(X3,X2),X1)=k4_nat_d(k4_newton(X3,k4_nat_d(X2,X1)),X1))))), inference(fof_simplification,[status(thm)],[t36_newton07])).
fof(c_0_62, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~v1_zfmisc_1(X1)&v7_ordinal1(X1))), inference(fof_simplification,[status(thm)],[cc1_nat_6])).
fof(c_0_63, plain, ![X31]:(v1_zfmisc_1(X31)|~v8_ordinal1(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])).
cnf(c_0_64, plain, (v7_ordinal1(k6_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_65, negated_conjecture, (v2_xxreal_0(esk1_0)|v8_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_66, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_46, c_0_53])).
cnf(c_0_67, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_68, plain, (r1_xxreal_0(k2_xcmplx_0(X1,X3),k2_xcmplx_0(X2,X3))|~r1_xxreal_0(X1,X2)|~v1_xreal_0(X3)|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_69, plain, (k2_xcmplx_0(X1,np__1)=k2_xcmplx_0(np__1,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_56, c_0_53])).
cnf(c_0_70, plain, (v1_xreal_0(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_39]), c_0_40])])).
cnf(c_0_71, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_72, plain, (k2_xcmplx_0(X1,k5_ordinal1)=X1|~v1_xcmplx_0(X1)), inference(rw,[status(thm)],[c_0_59, c_0_60])).
fof(c_0_73, plain, ![X48, X49, X50]:(~v7_ordinal1(X48)|~v1_int_2(X48)|(~v7_ordinal1(X49)|(~v7_ordinal1(X50)|(r1_xxreal_0(X48,X50)|k4_nat_d(k4_newton(X50,X49),X48)=k4_nat_d(k4_newton(X50,k4_nat_d(X49,X48)),X48))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])).
fof(c_0_74, plain, ![X32]:((~v1_zfmisc_1(X32)|(~v7_ordinal1(X32)|~v1_int_2(X32)))&(v7_ordinal1(X32)|(~v7_ordinal1(X32)|~v1_int_2(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])).
cnf(c_0_75, plain, (v1_zfmisc_1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_76, negated_conjecture, (v8_ordinal1(esk1_0)|v7_ordinal1(k6_xcmplx_0(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_52])])).
cnf(c_0_77, plain, (r1_xxreal_0(X1,X3)|~r1_xxreal_0(k2_xcmplx_0(X1,X2),k2_xcmplx_0(X3,X2))|~v1_xreal_0(X2)|~v1_xreal_0(X3)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_78, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_66, c_0_53])).
fof(c_0_79, plain, ![X45, X46]:(~v1_xcmplx_0(X45)|~v1_xcmplx_0(X46)|k2_xcmplx_0(X45,k4_xcmplx_0(X46))=k6_xcmplx_0(X45,X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc1_arithm])])).
cnf(c_0_80, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xreal_0(X2)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_67])).
cnf(c_0_81, plain, (r1_xxreal_0(k2_xcmplx_0(np__1,X1),k2_xcmplx_0(X2,np__1))|~r1_xxreal_0(X1,X2)|~v1_xreal_0(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_82, plain, (k2_xcmplx_0(X1,k5_ordinal1)=X1|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_72, c_0_67])).
cnf(c_0_83, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_84, plain, (k2_xcmplx_0(k4_xcmplx_0(np__1),np__1)=np__0), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__rm1_r1_r0])).
cnf(c_0_85, plain, (k2_xcmplx_0(X1,np__1)=k2_xcmplx_0(np__1,X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_56, c_0_67])).
fof(c_0_86, plain, ~r1_xxreal_0(np__1,np__0), inference(fof_simplification,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r0])).
cnf(c_0_87, plain, (r1_xxreal_0(X1,X3)|k4_nat_d(k4_newton(X3,X2),X1)=k4_nat_d(k4_newton(X3,k4_nat_d(X2,X1)),X1)|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_88, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_89, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_90, negated_conjecture, (v1_zfmisc_1(esk1_0)|v7_ordinal1(k6_xcmplx_0(esk1_0,np__1))), inference(spm,[status(thm)],[c_0_75, c_0_76])).
cnf(c_0_91, plain, (r1_xxreal_0(X1,X2)|~r1_xxreal_0(k2_xcmplx_0(X3,X1),k2_xcmplx_0(X2,X3))|~v1_xreal_0(X2)|~v7_ordinal1(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_71]), c_0_71])).
cnf(c_0_92, plain, (k2_xcmplx_0(X1,k5_ordinal1)=X1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_72, c_0_53])).
cnf(c_0_93, plain, (k2_xcmplx_0(X1,k4_xcmplx_0(X2))=k6_xcmplx_0(X1,X2)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_94, plain, (k2_xcmplx_0(X1,k4_xcmplx_0(np__1))=k2_xcmplx_0(k4_xcmplx_0(np__1),X1)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_80, c_0_40])).
cnf(c_0_95, plain, (r1_xxreal_0(np__1,k2_xcmplx_0(X1,np__1))|~r1_xxreal_0(k5_ordinal1,X1)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83]), c_0_70])])).
cnf(c_0_96, plain, (k2_xcmplx_0(np__1,k4_xcmplx_0(np__1))=np__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_40])])).
cnf(c_0_97, plain, (~r1_xxreal_0(np__1,np__0)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_98, negated_conjecture, (k4_nat_d(k4_newton(X1,k4_nat_d(X2,esk1_0)),esk1_0)=k4_nat_d(k4_newton(X1,X2),esk1_0)|r1_xxreal_0(esk1_0,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_52])])).
cnf(c_0_99, negated_conjecture, (v7_ordinal1(k6_xcmplx_0(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_88]), c_0_52])])).
cnf(c_0_100, plain, (r1_xxreal_0(k5_ordinal1,X1)|~r1_xxreal_0(X2,k2_xcmplx_0(X1,X2))|~v1_xreal_0(X1)|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_83])])).
cnf(c_0_101, plain, (k2_xcmplx_0(k4_xcmplx_0(np__1),X1)=k6_xcmplx_0(X1,np__1)|~v1_xcmplx_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_47])])).
cnf(c_0_102, plain, (~r1_xxreal_0(k5_ordinal1,k4_xcmplx_0(np__1))), 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_95, c_0_94]), c_0_96]), c_0_40]), c_0_47])]), c_0_97])).
cnf(c_0_103, negated_conjecture, (k4_nat_d(k4_newton(k6_xcmplx_0(esk1_0,np__1),k4_nat_d(X1,esk1_0)),esk1_0)=k4_nat_d(k4_newton(k6_xcmplx_0(esk1_0,np__1),X1),esk1_0)|r1_xxreal_0(esk1_0,k6_xcmplx_0(esk1_0,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_98, c_0_99])).
cnf(c_0_104, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_105, negated_conjecture, (k4_nat_d(k4_newton(k6_xcmplx_0(esk1_0,np__1),esk2_0),esk1_0)!=k4_nat_d(k4_newton(k6_xcmplx_0(esk1_0,np__1),k4_nat_d(esk2_0,esk1_0)),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_106, plain, (~r1_xxreal_0(X1,k6_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_40])]), c_0_102]), c_0_53])).
cnf(c_0_107, negated_conjecture, (r1_xxreal_0(esk1_0,k6_xcmplx_0(esk1_0,np__1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_105])).
cnf(c_0_108, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_52])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 109
# Proof object clause steps            : 60
# Proof object formula steps           : 49
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 29
# Proof object initial formulas used   : 24
# Proof object generating inferences   : 30
# Proof object simplifying inferences  : 39
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 24
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 29
# Processed clauses                    : 814
# ...of these trivial                  : 0
# ...subsumed                          : 513
# ...remaining for further processing  : 301
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 30
# Backward-rewritten                   : 4
# Generated clauses                    : 3557
# ...of the previous two non-trivial   : 2716
# Contextual simplify-reflections      : 45
# Paramodulations                      : 3557
# 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  : 238
#    Positive orientable unit clauses  : 17
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 218
# Current number of unprocessed clauses: 1939
# ...number of literals in the above   : 10194
# Current number of archived formulas  : 0
# Current number of archived clauses   : 63
# Clause-clause subsumption calls (NU) : 14141
# Rec. Clause-clause subsumption calls : 6997
# Non-unit clause-clause subsumptions  : 571
# Unit Clause-clause subsumption calls : 48
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 59732

# -------------------------------------------------
# User time                : 0.053 s
# System time              : 0.002 s
# Total time               : 0.055 s
# Maximum resident set size: 3532 pages
