# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic h208_C09_12_F1_SE_CS_SP_PS_S070I
# and selection function SelectVGNonCR.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t48_number14, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k22_pre_poly(k8_newton,k12_nat_3(X1))=k2_number12(X1)), file('number14/number14__t48_number14', t48_number14)).
fof(fc17_nat_3, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((((v1_relat_1(k12_nat_3(X1))&v4_relat_1(k12_nat_3(X1),k8_newton))&v1_funct_1(k12_nat_3(X1)))&v1_partfun1(k12_nat_3(X1),k8_newton))&v2_pre_poly(k12_nat_3(X1)))), file('number14/number14__t48_number14', fc17_nat_3)).
fof(fc16_nat_3, axiom, ![X1]:(v7_ordinal1(X1)=>((((v1_relat_1(k12_nat_3(X1))&v4_relat_1(k12_nat_3(X1),k8_newton))&v1_funct_1(k12_nat_3(X1)))&v1_partfun1(k12_nat_3(X1),k8_newton))&v6_valued_0(k12_nat_3(X1)))), file('number14/number14__t48_number14', fc16_nat_3)).
fof(t36_nat_3, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_tarski(X1,k13_pre_poly(k12_nat_3(X2)))=>r1_nat_d(X1,X2)))), file('number14/number14__t48_number14', t36_nat_3)).
fof(t34_nat_3, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(r2_tarski(X2,k13_pre_poly(k12_nat_3(X1)))=>(v7_ordinal1(X2)&v1_int_2(X2)))), file('number14/number14__t48_number14', t34_nat_3)).
fof(redefinition_k22_pre_poly, axiom, ![X1, X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v6_valued_0(X2))&v2_pre_poly(X2))=>k22_pre_poly(X1,X2)=k13_pre_poly(X2)), file('number14/number14__t48_number14', redefinition_k22_pre_poly)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('number14/number14__t48_number14', cc2_int_1)).
fof(fraenkel_a_1_0_number12, axiom, ![X1, X2]:(v1_int_1(X2)=>(r2_hidden(X1,a_1_0_number12(X2))<=>?[X3]:(((v7_ordinal1(X3)&v1_int_2(X3))&X1=X3)&r1_int_1(X3,X2)))), file('number14/number14__t48_number14', fraenkel_a_1_0_number12)).
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('number14/number14__t48_number14', redefinition_r1_nat_d)).
fof(d3_number12, axiom, ![X1]:(v1_int_1(X1)=>k2_number12(X1)=a_1_0_number12(X1)), file('number14/number14__t48_number14', d3_number12)).
fof(d7_pre_poly, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:(X2=k13_pre_poly(X1)<=>![X3]:(r2_hidden(X3,X2)<=>k1_funct_1(X1,X3)!=k5_numbers))), file('number14/number14__t48_number14', d7_pre_poly)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number14/number14__t48_number14', redefinition_r2_tarski)).
fof(t38_nat_3, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>~((r1_nat_d(X1,X2)&k1_funct_1(k12_nat_3(X2),X1)=k5_numbers)))), file('number14/number14__t48_number14', t38_nat_3)).
fof(c_0_13, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k22_pre_poly(k8_newton,k12_nat_3(X1))=k2_number12(X1))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t48_number14])])).
fof(c_0_14, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((((v1_relat_1(k12_nat_3(X1))&v4_relat_1(k12_nat_3(X1),k8_newton))&v1_funct_1(k12_nat_3(X1)))&v1_partfun1(k12_nat_3(X1),k8_newton))&v2_pre_poly(k12_nat_3(X1)))), inference(fof_simplification,[status(thm)],[fc17_nat_3])).
fof(c_0_15, plain, ![X40]:(((((v1_relat_1(k12_nat_3(X40))|~v7_ordinal1(X40))&(v4_relat_1(k12_nat_3(X40),k8_newton)|~v7_ordinal1(X40)))&(v1_funct_1(k12_nat_3(X40))|~v7_ordinal1(X40)))&(v1_partfun1(k12_nat_3(X40),k8_newton)|~v7_ordinal1(X40)))&(v6_valued_0(k12_nat_3(X40))|~v7_ordinal1(X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc16_nat_3])])])).
fof(c_0_16, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&k22_pre_poly(k8_newton,k12_nat_3(esk1_0))!=k2_number12(esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
fof(c_0_17, plain, ![X41]:(((((v1_relat_1(k12_nat_3(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41)))&(v4_relat_1(k12_nat_3(X41),k8_newton)|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v1_funct_1(k12_nat_3(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v1_partfun1(k12_nat_3(X41),k8_newton)|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v2_pre_poly(k12_nat_3(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_18, plain, ![X54, X55]:(~v7_ordinal1(X54)|(~v7_ordinal1(X55)|(~r2_tarski(X54,k13_pre_poly(k12_nat_3(X55)))|r1_nat_d(X54,X55)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_nat_3])])])).
fof(c_0_19, plain, ![X52, X53]:((v7_ordinal1(X53)|~r2_tarski(X53,k13_pre_poly(k12_nat_3(X52)))|~v7_ordinal1(X52))&(v1_int_2(X53)|~r2_tarski(X53,k13_pre_poly(k12_nat_3(X52)))|~v7_ordinal1(X52))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_nat_3])])])])).
fof(c_0_20, plain, ![X46, X47]:(~v1_relat_1(X47)|~v4_relat_1(X47,X46)|~v1_funct_1(X47)|~v1_partfun1(X47,X46)|~v6_valued_0(X47)|~v2_pre_poly(X47)|k22_pre_poly(X46,X47)=k13_pre_poly(X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k22_pre_poly])])).
cnf(c_0_21, plain, (v1_partfun1(k12_nat_3(X1),k8_newton)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, plain, (v2_pre_poly(k12_nat_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (v6_valued_0(k12_nat_3(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_26, plain, (v4_relat_1(k12_nat_3(X1),k8_newton)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_27, plain, (v1_funct_1(k12_nat_3(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_28, plain, (v1_relat_1(k12_nat_3(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_29, plain, (r1_nat_d(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~r2_tarski(X1,k13_pre_poly(k12_nat_3(X2)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_30, plain, (v7_ordinal1(X1)|~r2_tarski(X1,k13_pre_poly(k12_nat_3(X2)))|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_31, plain, (k22_pre_poly(X2,X1)=k13_pre_poly(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v6_valued_0(X1)|~v2_pre_poly(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_32, negated_conjecture, (v1_partfun1(k12_nat_3(esk1_0),k8_newton)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_33, negated_conjecture, (v2_pre_poly(k12_nat_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_22])])).
cnf(c_0_34, negated_conjecture, (v6_valued_0(k12_nat_3(esk1_0))), inference(spm,[status(thm)],[c_0_25, c_0_22])).
cnf(c_0_35, negated_conjecture, (v4_relat_1(k12_nat_3(esk1_0),k8_newton)), inference(spm,[status(thm)],[c_0_26, c_0_22])).
cnf(c_0_36, negated_conjecture, (v1_funct_1(k12_nat_3(esk1_0))), inference(spm,[status(thm)],[c_0_27, c_0_22])).
cnf(c_0_37, negated_conjecture, (v1_relat_1(k12_nat_3(esk1_0))), inference(spm,[status(thm)],[c_0_28, c_0_22])).
fof(c_0_38, plain, ![X30]:(~v7_ordinal1(X30)|v1_int_1(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_39, plain, ![X42, X43, X45]:(((((v7_ordinal1(esk3_2(X42,X43))|~r2_hidden(X42,a_1_0_number12(X43))|~v1_int_1(X43))&(v1_int_2(esk3_2(X42,X43))|~r2_hidden(X42,a_1_0_number12(X43))|~v1_int_1(X43)))&(X42=esk3_2(X42,X43)|~r2_hidden(X42,a_1_0_number12(X43))|~v1_int_1(X43)))&(r1_int_1(esk3_2(X42,X43),X43)|~r2_hidden(X42,a_1_0_number12(X43))|~v1_int_1(X43)))&(~v7_ordinal1(X45)|~v1_int_2(X45)|X42!=X45|~r1_int_1(X45,X43)|r2_hidden(X42,a_1_0_number12(X43))|~v1_int_1(X43))), 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_number12])])])])])).
fof(c_0_40, plain, ![X48, X49]:((~r1_nat_d(X48,X49)|r1_int_1(X48,X49)|(~v7_ordinal1(X48)|~v7_ordinal1(X49)))&(~r1_int_1(X48,X49)|r1_nat_d(X48,X49)|(~v7_ordinal1(X48)|~v7_ordinal1(X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_nat_d])])])).
cnf(c_0_41, plain, (r1_nat_d(X1,X2)|~r2_tarski(X1,k13_pre_poly(k12_nat_3(X2)))|~v7_ordinal1(X2)), inference(csr,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_42, negated_conjecture, (k13_pre_poly(k12_nat_3(esk1_0))=k22_pre_poly(k8_newton,k12_nat_3(esk1_0))), 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_31, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37])])).
fof(c_0_43, plain, ![X33]:(~v1_int_1(X33)|k2_number12(X33)=a_1_0_number12(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_number12])])).
cnf(c_0_44, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_45, plain, ![X34, X35, X36, X37, X38]:(((~r2_hidden(X36,X35)|k1_funct_1(X34,X36)!=k5_numbers|X35!=k13_pre_poly(X34)|(~v1_relat_1(X34)|~v1_funct_1(X34)))&(k1_funct_1(X34,X37)=k5_numbers|r2_hidden(X37,X35)|X35!=k13_pre_poly(X34)|(~v1_relat_1(X34)|~v1_funct_1(X34))))&((~r2_hidden(esk2_2(X34,X38),X38)|k1_funct_1(X34,esk2_2(X34,X38))=k5_numbers|X38=k13_pre_poly(X34)|(~v1_relat_1(X34)|~v1_funct_1(X34)))&(r2_hidden(esk2_2(X34,X38),X38)|k1_funct_1(X34,esk2_2(X34,X38))!=k5_numbers|X38=k13_pre_poly(X34)|(~v1_relat_1(X34)|~v1_funct_1(X34))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_pre_poly])])])])])])).
cnf(c_0_46, plain, (r2_hidden(X2,a_1_0_number12(X3))|~v7_ordinal1(X1)|~v1_int_2(X1)|X2!=X1|~r1_int_1(X1,X3)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_47, plain, (r1_int_1(X1,X2)|~r1_nat_d(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_48, negated_conjecture, (r1_nat_d(X1,esk1_0)|~r2_tarski(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_22])])).
cnf(c_0_49, negated_conjecture, (v7_ordinal1(X1)|~r2_tarski(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_42]), c_0_22])])).
cnf(c_0_50, plain, (k2_number12(X1)=a_1_0_number12(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_51, negated_conjecture, (v1_int_1(esk1_0)), inference(spm,[status(thm)],[c_0_44, c_0_22])).
cnf(c_0_52, plain, (v1_int_2(X1)|~r2_tarski(X1,k13_pre_poly(k12_nat_3(X2)))|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_53, plain, (k1_funct_1(X1,X2)=k5_numbers|r2_hidden(X2,X3)|X3!=k13_pre_poly(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_54, plain, (r2_hidden(X1,a_1_0_number12(X2))|~r1_int_1(X1,X2)|~v1_int_2(X1)|~v1_int_1(X2)|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_46])).
cnf(c_0_55, negated_conjecture, (r1_int_1(X1,esk1_0)|~r2_tarski(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_22])]), c_0_49])).
cnf(c_0_56, negated_conjecture, (a_1_0_number12(esk1_0)=k2_number12(esk1_0)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_57, negated_conjecture, (v1_int_2(X1)|~r2_tarski(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_42]), c_0_22])])).
fof(c_0_58, plain, ![X50, X51]:((~r2_tarski(X50,X51)|r2_hidden(X50,X51))&(~r2_hidden(X50,X51)|r2_tarski(X50,X51))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_59, plain, (k1_funct_1(X1,X2)=k5_numbers|r2_hidden(X2,k13_pre_poly(X1))|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_53])).
cnf(c_0_60, negated_conjecture, (r2_hidden(X1,k2_number12(esk1_0))|~r2_tarski(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56]), c_0_51])]), c_0_49]), c_0_57])).
cnf(c_0_61, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_62, negated_conjecture, (k1_funct_1(k12_nat_3(esk1_0),X1)=k5_numbers|r2_hidden(X1,k13_pre_poly(k12_nat_3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_36]), c_0_37])])).
cnf(c_0_63, negated_conjecture, (r2_hidden(X1,k2_number12(esk1_0))|~r2_hidden(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_64, negated_conjecture, (k1_funct_1(k12_nat_3(esk1_0),X1)=k5_numbers|r2_hidden(X1,k22_pre_poly(k8_newton,k12_nat_3(esk1_0)))), inference(rw,[status(thm)],[c_0_62, c_0_42])).
cnf(c_0_65, plain, (k1_funct_1(X1,esk2_2(X1,X2))=k5_numbers|X2=k13_pre_poly(X1)|~r2_hidden(esk2_2(X1,X2),X2)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_66, negated_conjecture, (k1_funct_1(k12_nat_3(esk1_0),X1)=k5_numbers|r2_hidden(X1,k2_number12(esk1_0))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_67, negated_conjecture, (k1_funct_1(k12_nat_3(esk1_0),esk2_2(X1,k2_number12(esk1_0)))=k5_numbers|k1_funct_1(X1,esk2_2(X1,k2_number12(esk1_0)))=k5_numbers|k13_pre_poly(X1)=k2_number12(esk1_0)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_68, negated_conjecture, (k22_pre_poly(k8_newton,k12_nat_3(esk1_0))!=k2_number12(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_69, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>~((r1_nat_d(X1,X2)&k1_funct_1(k12_nat_3(X2),X1)=k5_numbers)))), inference(fof_simplification,[status(thm)],[t38_nat_3])).
cnf(c_0_70, plain, (r1_nat_d(X1,X2)|~r1_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_71, plain, (r1_int_1(esk3_2(X1,X2),X2)|~r2_hidden(X1,a_1_0_number12(X2))|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_72, plain, (v7_ordinal1(esk3_2(X1,X2))|~r2_hidden(X1,a_1_0_number12(X2))|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_73, plain, (X1=esk3_2(X1,X2)|~r2_hidden(X1,a_1_0_number12(X2))|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_74, plain, (r2_hidden(esk2_2(X1,X2),X2)|X2=k13_pre_poly(X1)|k1_funct_1(X1,esk2_2(X1,X2))!=k5_numbers|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_75, negated_conjecture, (k1_funct_1(k12_nat_3(esk1_0),esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0)))=k5_numbers), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_36]), c_0_42]), c_0_37])]), c_0_68])).
fof(c_0_76, plain, ![X56, X57]:(~v7_ordinal1(X56)|~v1_int_2(X56)|(~v7_ordinal1(X57)|v8_ordinal1(X57)|(~r1_nat_d(X56,X57)|k1_funct_1(k12_nat_3(X57),X56)!=k5_numbers))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])).
cnf(c_0_77, plain, (r1_nat_d(esk3_2(X1,X2),X2)|~r2_hidden(X1,a_1_0_number12(X2))|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72]), c_0_44])).
cnf(c_0_78, negated_conjecture, (esk3_2(X1,esk1_0)=X1|~r2_hidden(X1,k2_number12(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_56]), c_0_51])])).
cnf(c_0_79, negated_conjecture, (r2_hidden(esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0)),k2_number12(esk1_0))), 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_74, c_0_75]), c_0_42]), c_0_36]), c_0_37])]), c_0_68])).
cnf(c_0_80, plain, (v8_ordinal1(X2)|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~r1_nat_d(X1,X2)|k1_funct_1(k12_nat_3(X2),X1)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_81, negated_conjecture, (r1_nat_d(esk3_2(X1,esk1_0),esk1_0)|~r2_hidden(X1,k2_number12(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_56]), c_0_22])])).
cnf(c_0_82, negated_conjecture, (esk3_2(esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0)),esk1_0)=esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
cnf(c_0_83, plain, (v1_int_2(esk3_2(X1,X2))|~r2_hidden(X1,a_1_0_number12(X2))|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_84, negated_conjecture, (k1_funct_1(k12_nat_3(esk1_0),X1)!=k5_numbers|~r1_nat_d(X1,esk1_0)|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_80]), c_0_22])])).
cnf(c_0_85, negated_conjecture, (r1_nat_d(esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_79])])).
cnf(c_0_86, negated_conjecture, (v1_int_2(esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_82]), c_0_56]), c_0_79]), c_0_51])])).
cnf(c_0_87, negated_conjecture, (v7_ordinal1(esk2_2(k12_nat_3(esk1_0),k2_number12(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_82]), c_0_56]), c_0_79]), c_0_51])])).
cnf(c_0_88, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_75]), c_0_86]), c_0_87])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 89
# Proof object clause steps            : 60
# Proof object formula steps           : 29
# Proof object conjectures             : 35
# Proof object clause conjectures      : 32
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 27
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 29
# Proof object simplifying inferences  : 59
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 36
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 36
# Processed clauses                    : 255
# ...of these trivial                  : 3
# ...subsumed                          : 52
# ...remaining for further processing  : 200
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 7
# Backward-rewritten                   : 5
# Generated clauses                    : 371
# ...of the previous two non-trivial   : 328
# Contextual simplify-reflections      : 38
# Paramodulations                      : 364
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 5
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 152
#    Positive orientable unit clauses  : 23
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 125
# Current number of unprocessed clauses: 119
# ...number of literals in the above   : 401
# Current number of archived formulas  : 0
# Current number of archived clauses   : 43
# Clause-clause subsumption calls (NU) : 3535
# Rec. Clause-clause subsumption calls : 2577
# Non-unit clause-clause subsumptions  : 95
# Unit Clause-clause subsumption calls : 444
# 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          : 10693

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.004 s
# Total time               : 0.028 s
# Maximum resident set size: 3444 pages
