# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('newton07/newton07__t17_newton07', cc4_nat_1)).
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__t17_newton07', commutativity_k2_xcmplx_0)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t17_newton07', cc1_xcmplx_0)).
fof(cc11_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v7_ordinal1(X1)), file('newton07/newton07__t17_newton07', cc11_ordinal1)).
fof(t1_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k2_xcmplx_0(X1,k5_numbers)=X1), file('newton07/newton07__t17_newton07', t1_arithm)).
fof(rd3_newton05, axiom, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~(v8_ordinal1(X2)))=>k4_nat_d(X1,k2_xcmplx_0(X1,X2))=X1), file('newton07/newton07__t17_newton07', rd3_newton05)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t17_newton07', cc8_ordinal1)).
fof(t17_newton07, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>(X2!=X1=>k4_nat_d(k4_newton(X2,X1),X1)=k5_numbers))), file('newton07/newton07__t17_newton07', t17_newton07)).
fof(rd7_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers), file('newton07/newton07__t17_newton07', rd7_newton02)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton07/newton07__t17_newton07', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton07/newton07__t17_newton07', redefinition_k5_numbers)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('newton07/newton07__t17_newton07', spc2_numerals)).
fof(t119_newton02, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(v1_int_2(X1)=>(X2=k5_numbers|X2=X1|r1_int_1(X1,k4_newton(X2,X1)))))), file('newton07/newton07__t17_newton07', t119_newton02)).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(np__0,np__2)=np__0, file('newton07/newton07__t17_newton07', rqRealMult__k3_xcmplx_0__r0_r2_r0)).
fof(spc0_numerals, axiom, m1_subset_1(np__0,k4_ordinal1), file('newton07/newton07__t17_newton07', spc0_numerals)).
fof(redefinition_k4_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>k4_nat_d(X1,X2)=k5_int_1(X1,X2)), file('newton07/newton07__t17_newton07', redefinition_k4_nat_d)).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(np__0,np__2)=np__2, file('newton07/newton07__t17_newton07', rqRealAdd__k2_xcmplx_0__r0_r2_r2)).
fof(redefinition_r1_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>(r1_nat_d(X1,X2)<=>r1_int_1(X1,X2))), file('newton07/newton07__t17_newton07', redefinition_r1_nat_d)).
fof(dt_k4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>m1_subset_1(k4_newton(X1,X2),k4_ordinal1)), file('newton07/newton07__t17_newton07', dt_k4_newton)).
fof(fc5_real_3, axiom, ![X1]:(v1_xcmplx_0(X1)=>v8_ordinal1(k6_xcmplx_0(X1,X1))), file('newton07/newton07__t17_newton07', fc5_real_3)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton07/newton07__t17_newton07', cc2_int_1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(np__0,np__0)=np__0, file('newton07/newton07__t17_newton07', rqRealDiff__k6_xcmplx_0__r0_r0_r0)).
fof(t6_pepin, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(X1!=k5_numbers=>(r1_nat_d(X1,X2)<=>k4_nat_d(X2,X1)=k5_numbers)))), file('newton07/newton07__t17_newton07', t6_pepin)).
fof(cc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~(v1_zfmisc_1(X1))&v7_ordinal1(X1))), file('newton07/newton07__t17_newton07', cc1_nat_6)).
fof(cc13_ordinal1, axiom, ![X1]:(~(v1_zfmisc_1(X1))=>~(v8_ordinal1(X1))), file('newton07/newton07__t17_newton07', cc13_ordinal1)).
fof(c_0_25, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_26, plain, ![X39, X40]:(~v1_xcmplx_0(X39)|~v1_xcmplx_0(X40)|k2_xcmplx_0(X39,X40)=k2_xcmplx_0(X40,X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
fof(c_0_27, plain, ![X35]:(~v7_ordinal1(X35)|v1_xcmplx_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
fof(c_0_28, plain, ![X37]:((v7_ordinal1(X37)|(~v7_ordinal1(X37)|~v8_ordinal1(X37)))&(~v2_xxreal_0(X37)|(~v7_ordinal1(X37)|~v8_ordinal1(X37)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_29, plain, ![X32]:(~v8_ordinal1(X32)|v7_ordinal1(X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_ordinal1])])).
fof(c_0_30, plain, ![X54]:(~v1_xcmplx_0(X54)|k2_xcmplx_0(X54,k5_numbers)=X54), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_arithm])])).
cnf(c_0_31, 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_26])).
cnf(c_0_32, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_33, plain, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~v8_ordinal1(X2))=>k4_nat_d(X1,k2_xcmplx_0(X1,X2))=X1), inference(fof_simplification,[status(thm)],[rd3_newton05])).
fof(c_0_34, plain, ![X38]:(~m1_subset_1(X38,k4_ordinal1)|v7_ordinal1(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_35, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_36, plain, (v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
fof(c_0_37, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>(X2!=X1=>k4_nat_d(k4_newton(X2,X1),X1)=k5_numbers)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t17_newton07])])).
fof(c_0_38, plain, ![X46, X47]:(~v1_int_1(X46)|~v1_int_1(X47)|k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X46,X47)),X47)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd7_newton02])])).
cnf(c_0_39, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_40, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_41, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_42, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_43, plain, ![X44, X45]:(~v7_ordinal1(X44)|~v7_ordinal1(X45)|v8_ordinal1(X45)|k4_nat_d(X44,k2_xcmplx_0(X44,X45))=X44), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])).
cnf(c_0_44, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_45, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_46, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)), inference(csr,[status(thm)],[c_0_35, c_0_36])).
cnf(c_0_47, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_48, plain, ![X52, X53]:(~v7_ordinal1(X52)|(~v7_ordinal1(X53)|(~v1_int_2(X52)|(X53=k5_numbers|X53=X52|r1_int_1(X52,k4_newton(X53,X52)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_newton02])])])).
fof(c_0_49, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&((v7_ordinal1(esk2_0)&~v8_ordinal1(esk2_0))&(esk2_0!=esk1_0&k4_nat_d(k4_newton(esk2_0,esk1_0),esk1_0)!=k5_numbers))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
cnf(c_0_50, plain, (k5_int_1(k2_xcmplx_0(k5_numbers,k3_xcmplx_0(X1,X2)),X2)=k5_numbers|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_51, plain, (k3_xcmplx_0(np__0,np__2)=np__0), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r0_r2_r0])).
cnf(c_0_52, plain, (k2_xcmplx_0(X1,k5_numbers)=X1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_32])).
cnf(c_0_53, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_40, c_0_32])).
cnf(c_0_54, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_55, plain, (m1_subset_1(np__0,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc0_numerals])).
cnf(c_0_56, plain, (v8_ordinal1(X2)|k4_nat_d(X1,k2_xcmplx_0(X1,X2))=X1|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_57, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_58, plain, (~v8_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_59, plain, (X2=k5_numbers|X2=X1|r1_int_1(X1,k4_newton(X2,X1))|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_60, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_61, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_62, plain, ![X48, X49]:(~v7_ordinal1(X48)|~v7_ordinal1(X49)|k4_nat_d(X48,X49)=k5_int_1(X48,X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
cnf(c_0_63, plain, (k5_int_1(k2_xcmplx_0(k5_numbers,np__0),np__2)=k5_numbers|~v1_int_1(np__2)|~v1_int_1(np__0)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_64, plain, (k2_xcmplx_0(k5_numbers,X1)=X1|~v7_ordinal1(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_65, plain, (v7_ordinal1(np__0)), inference(spm,[status(thm)],[c_0_44, c_0_55])).
cnf(c_0_66, plain, (k4_nat_d(X1,k2_xcmplx_0(X1,np__2))=X1|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])).
cnf(c_0_67, plain, (k2_xcmplx_0(np__0,np__2)=np__2), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r0_r2_r2])).
fof(c_0_68, plain, ![X50, X51]:((~r1_nat_d(X50,X51)|r1_int_1(X50,X51)|(~v7_ordinal1(X50)|~v7_ordinal1(X51)))&(~r1_int_1(X50,X51)|r1_nat_d(X50,X51)|(~v7_ordinal1(X50)|~v7_ordinal1(X51)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_nat_d])])])).
cnf(c_0_69, negated_conjecture, (esk1_0=X1|X1=k5_numbers|r1_int_1(esk1_0,k4_newton(X1,esk1_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])])).
cnf(c_0_70, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_71, negated_conjecture, (esk2_0!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_72, plain, ![X41, X42]:(~v7_ordinal1(X41)|~v7_ordinal1(X42)|m1_subset_1(k4_newton(X41,X42),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_newton])])).
fof(c_0_73, plain, ![X43]:(~v1_xcmplx_0(X43)|v8_ordinal1(k6_xcmplx_0(X43,X43))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_real_3])])).
cnf(c_0_74, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_75, plain, (k5_int_1(np__0,np__2)=k5_numbers|~v1_int_1(np__2)|~v1_int_1(np__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])])).
cnf(c_0_76, plain, (k4_nat_d(np__0,np__2)=np__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_65])])).
fof(c_0_77, plain, ![X36]:(~v7_ordinal1(X36)|v1_int_1(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_78, plain, (r1_nat_d(X1,X2)|~r1_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_79, negated_conjecture, (k5_numbers=esk2_0|r1_int_1(esk1_0,k4_newton(esk2_0,esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])).
cnf(c_0_80, plain, (m1_subset_1(k4_newton(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_81, plain, (v8_ordinal1(k6_xcmplx_0(X1,X1))|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_82, plain, (k6_xcmplx_0(np__0,np__0)=np__0), inference(split_conjunct,[status(thm)],[rqRealDiff__k6_xcmplx_0__r0_r0_r0])).
cnf(c_0_83, plain, (np__0=k5_numbers|~v1_int_1(np__2)|~v1_int_1(np__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76]), c_0_57]), c_0_65])])).
cnf(c_0_84, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_85, plain, ![X55, X56]:((~r1_nat_d(X55,X56)|k4_nat_d(X56,X55)=k5_numbers|X55=k5_numbers|~v7_ordinal1(X56)|~v7_ordinal1(X55))&(k4_nat_d(X56,X55)!=k5_numbers|r1_nat_d(X55,X56)|X55=k5_numbers|~v7_ordinal1(X56)|~v7_ordinal1(X55))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_pepin])])])])).
cnf(c_0_86, negated_conjecture, (k5_numbers=esk2_0|r1_nat_d(esk1_0,k4_newton(esk2_0,esk1_0))|~v7_ordinal1(k4_newton(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_61])])).
cnf(c_0_87, plain, (v7_ordinal1(k4_newton(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_44, c_0_80])).
fof(c_0_88, 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_89, plain, ![X1]:(~v1_zfmisc_1(X1)=>~v8_ordinal1(X1)), inference(fof_simplification,[status(thm)],[cc13_ordinal1])).
cnf(c_0_90, plain, (v8_ordinal1(np__0)|~v1_xcmplx_0(np__0)), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_91, plain, (np__0=k5_numbers|~v1_int_1(np__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_57])])).
cnf(c_0_92, plain, (k4_nat_d(X2,X1)=k5_numbers|X1=k5_numbers|~r1_nat_d(X1,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_93, negated_conjecture, (k5_numbers=esk2_0|r1_nat_d(esk1_0,k4_newton(esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_61]), c_0_70])])).
cnf(c_0_94, negated_conjecture, (k4_nat_d(k4_newton(esk2_0,esk1_0),esk1_0)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_95, plain, ![X34]:((~v1_zfmisc_1(X34)|(~v7_ordinal1(X34)|~v1_int_2(X34)))&(v7_ordinal1(X34)|(~v7_ordinal1(X34)|~v1_int_2(X34)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])).
fof(c_0_96, plain, ![X33]:(v1_zfmisc_1(X33)|~v8_ordinal1(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])).
cnf(c_0_97, plain, (v8_ordinal1(np__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_32]), c_0_65])])).
cnf(c_0_98, plain, (np__0=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_84]), c_0_65])])).
cnf(c_0_99, negated_conjecture, (k5_numbers=esk2_0|k5_numbers=esk1_0|~v7_ordinal1(k4_newton(esk2_0,esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_61])]), c_0_94])).
cnf(c_0_100, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_101, plain, (v1_zfmisc_1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_102, plain, (v8_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_103, negated_conjecture, (k5_numbers=esk1_0|k5_numbers=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_87]), c_0_61]), c_0_70])])).
cnf(c_0_104, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_105, plain, (~v8_ordinal1(X1)|~v1_int_2(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_36])).
cnf(c_0_106, negated_conjecture, (k5_numbers=esk1_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_104])).
cnf(c_0_107, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_105, c_0_60])).
cnf(c_0_108, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_106]), c_0_107]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 109
# Proof object clause steps            : 61
# Proof object formula steps           : 48
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 31
# Proof object initial formulas used   : 25
# Proof object generating inferences   : 26
# Proof object simplifying inferences  : 38
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 25
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 35
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 33
# Processed clauses                    : 177
# ...of these trivial                  : 2
# ...subsumed                          : 38
# ...remaining for further processing  : 137
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 64
# Generated clauses                    : 178
# ...of the previous two non-trivial   : 165
# Contextual simplify-reflections      : 3
# Paramodulations                      : 171
# Factorizations                       : 1
# NegExts                              : 0
# Equation resolutions                 : 6
# 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  : 37
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 26
# Current number of unprocessed clauses: 48
# ...number of literals in the above   : 170
# Current number of archived formulas  : 0
# Current number of archived clauses   : 100
# Clause-clause subsumption calls (NU) : 847
# Rec. Clause-clause subsumption calls : 458
# Non-unit clause-clause subsumptions  : 44
# Unit Clause-clause subsumption calls : 44
# 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          : 4742

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.002 s
# Total time               : 0.031 s
# Maximum resident set size: 3520 pages
