# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S084A
# and selection function SelectCQIArNT.
#
# Preprocessing time       : 0.028 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t7_field_16, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&v1_int_2(X2))=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>(k1_newton(X1,X3)=k1_newton(X2,X4)=>((X3=k5_numbers&X4=k5_numbers)|(X1=X2&X3=X4))))))), file('field_16/field_16__t7_field_16', t7_field_16)).
fof(t3_nat_3, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(X1!=k5_numbers=>r1_nat_d(X2,k1_newton(X2,X1))))), file('field_16/field_16__t7_field_16', t3_nat_3)).
fof(t6_nat_3, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:((v7_ordinal1(X2)&v1_int_2(X2))=>![X3]:((v7_ordinal1(X3)&v1_int_2(X3))=>(r1_nat_d(X3,k1_newton(X2,X1))=>X3=X2)))), file('field_16/field_16__t7_field_16', t6_nat_3)).
fof(fc4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k1_newton(X1,X2))), file('field_16/field_16__t7_field_16', fc4_newton)).
fof(t2_nat_6, axiom, ![X1]:((~(v1_zfmisc_1(X1))&v7_ordinal1(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>~((~(r1_xxreal_0(X2,X3))&r1_xxreal_0(k1_newton(X1,X2),k1_newton(X1,X3))))))), file('field_16/field_16__t7_field_16', t2_nat_6)).
fof(reflexivity_r1_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>r1_xxreal_0(X1,X1)), file('field_16/field_16__t7_field_16', reflexivity_r1_xxreal_0)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('field_16/field_16__t7_field_16', cc2_xxreal_0)).
fof(rc1_ring_5, axiom, ?[X1]:(((((((((((((~(v1_zfmisc_1(X1))&v1_ordinal1(X1))&v2_ordinal1(X1))&v3_ordinal1(X1))&v7_ordinal1(X1))&v1_xreal_0(X1))&v1_int_1(X1))&v2_int_1(X1))&v1_finset_1(X1))&v1_card_1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))&v1_xcmplx_0(X1))&~(v1_int_2(X1))), file('field_16/field_16__t7_field_16', rc1_ring_5)).
fof(cc1_nat_6, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~(v1_zfmisc_1(X1))&v7_ordinal1(X1))), file('field_16/field_16__t7_field_16', cc1_nat_6)).
fof(t1_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)&r1_xxreal_0(X2,X1))=>X1=X2))), file('field_16/field_16__t7_field_16', t1_xxreal_0)).
fof(c_0_10, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&v1_int_2(X2))=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>(k1_newton(X1,X3)=k1_newton(X2,X4)=>((X3=k5_numbers&X4=k5_numbers)|(X1=X2&X3=X4)))))))), inference(assume_negation,[status(cth)],[t7_field_16])).
fof(c_0_11, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&((v7_ordinal1(esk2_0)&v1_int_2(esk2_0))&(v7_ordinal1(esk3_0)&(v7_ordinal1(esk4_0)&(k1_newton(esk1_0,esk3_0)=k1_newton(esk2_0,esk4_0)&((esk3_0!=k5_numbers|esk4_0!=k5_numbers)&(esk1_0!=esk2_0|esk3_0!=esk4_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_12, plain, ![X42, X43]:(~v7_ordinal1(X42)|(~v7_ordinal1(X43)|(X42=k5_numbers|r1_nat_d(X43,k1_newton(X43,X42))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_nat_3])])])).
fof(c_0_13, plain, ![X44, X45, X46]:(~v7_ordinal1(X44)|(~v7_ordinal1(X45)|~v1_int_2(X45)|(~v7_ordinal1(X46)|~v1_int_2(X46)|(~r1_nat_d(X46,k1_newton(X45,X44))|X46=X45)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_nat_3])])])).
cnf(c_0_14, negated_conjecture, (esk3_0!=k5_numbers|esk4_0!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_15, plain, (X1=k5_numbers|r1_nat_d(X2,k1_newton(X2,X1))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_16, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, plain, (X3=X2|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v1_int_2(X3)|~r1_nat_d(X3,k1_newton(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, negated_conjecture, (k1_newton(esk1_0,esk3_0)=k1_newton(esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_20, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_21, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|esk4_0!=k5_numbers|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])])).
cnf(c_0_22, negated_conjecture, (v7_ordinal1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_23, negated_conjecture, (esk1_0=X1|~r1_nat_d(X1,k1_newton(esk2_0,esk4_0))|~v1_int_2(X1)|~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_17, c_0_18]), c_0_19]), c_0_20]), c_0_16])])).
cnf(c_0_24, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk4_0))|r1_nat_d(X2,k1_newton(X2,esk3_0))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_15]), c_0_22])])).
cnf(c_0_25, negated_conjecture, (v1_int_2(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_26, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_27, plain, ![X32, X33]:(~v7_ordinal1(X32)|~v7_ordinal1(X33)|v7_ordinal1(k1_newton(X32,X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_newton])])).
cnf(c_0_28, negated_conjecture, (esk1_0=esk2_0|r1_nat_d(X1,k1_newton(X1,esk3_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_29, plain, (v7_ordinal1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_30, negated_conjecture, (k1_newton(esk2_0,esk4_0)=k1_newton(esk2_0,esk3_0)|r1_nat_d(X1,k1_newton(X1,esk3_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_18, c_0_28])).
fof(c_0_31, plain, ![X1]:((~v1_zfmisc_1(X1)&v7_ordinal1(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>~((~r1_xxreal_0(X2,X3)&r1_xxreal_0(k1_newton(X1,X2),k1_newton(X1,X3))))))), inference(fof_simplification,[status(thm)],[t2_nat_6])).
cnf(c_0_32, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|v7_ordinal1(k1_newton(esk2_0,esk3_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_22]), c_0_26])])).
fof(c_0_33, plain, ![X39, X40, X41]:(v1_zfmisc_1(X39)|~v7_ordinal1(X39)|(~v7_ordinal1(X40)|(~v7_ordinal1(X41)|(r1_xxreal_0(X40,X41)|~r1_xxreal_0(k1_newton(X39,X40),k1_newton(X39,X41)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_34, negated_conjecture, (r1_nat_d(esk1_0,k1_newton(esk2_0,esk4_0))|v7_ordinal1(k1_newton(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_18]), c_0_20])])).
cnf(c_0_35, plain, (v1_zfmisc_1(X1)|r1_xxreal_0(X2,X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~r1_xxreal_0(k1_newton(X1,X2),k1_newton(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_36, plain, ![X35, X36]:(~v1_xxreal_0(X35)|~v1_xxreal_0(X36)|r1_xxreal_0(X35,X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r1_xxreal_0])])).
cnf(c_0_37, negated_conjecture, (esk1_0=esk2_0|v7_ordinal1(k1_newton(esk2_0,esk3_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_17, c_0_34]), c_0_19]), c_0_25]), c_0_20]), c_0_26]), c_0_22])])).
cnf(c_0_38, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|r1_xxreal_0(X2,esk4_0)|v1_zfmisc_1(esk2_0)|~r1_xxreal_0(k1_newton(esk2_0,X2),k1_newton(esk2_0,esk3_0))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_30]), c_0_22]), c_0_26])])).
cnf(c_0_39, plain, (r1_xxreal_0(X1,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_40, plain, ![X31]:(~v7_ordinal1(X31)|v1_xxreal_0(X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
cnf(c_0_41, negated_conjecture, (k1_newton(esk2_0,esk4_0)=k1_newton(esk2_0,esk3_0)|v7_ordinal1(k1_newton(esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_18, c_0_37])).
cnf(c_0_42, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|r1_xxreal_0(esk3_0,esk4_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(k1_newton(esk2_0,esk3_0))|~v1_xxreal_0(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_16])])).
cnf(c_0_43, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_44, negated_conjecture, (v7_ordinal1(k1_newton(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_41]), c_0_22]), c_0_26])])).
cnf(c_0_45, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|r1_xxreal_0(esk3_0,esk4_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])])).
fof(c_0_46, plain, ?[X1]:(((((((((((((~v1_zfmisc_1(X1)&v1_ordinal1(X1))&v2_ordinal1(X1))&v3_ordinal1(X1))&v7_ordinal1(X1))&v1_xreal_0(X1))&v1_int_1(X1))&v2_int_1(X1))&v1_finset_1(X1))&v1_card_1(X1))&v1_xxreal_0(X1))&~v3_xxreal_0(X1))&v1_xcmplx_0(X1))&~v1_int_2(X1)), inference(fof_simplification,[status(thm)],[rc1_ring_5])).
cnf(c_0_47, negated_conjecture, (r1_nat_d(esk1_0,k1_newton(esk2_0,esk4_0))|r1_xxreal_0(esk3_0,esk4_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_18]), c_0_20])])).
fof(c_0_48, plain, (((((((((((((~v1_zfmisc_1(esk5_0)&v1_ordinal1(esk5_0))&v2_ordinal1(esk5_0))&v3_ordinal1(esk5_0))&v7_ordinal1(esk5_0))&v1_xreal_0(esk5_0))&v1_int_1(esk5_0))&v2_int_1(esk5_0))&v1_finset_1(esk5_0))&v1_card_1(esk5_0))&v1_xxreal_0(esk5_0))&~v3_xxreal_0(esk5_0))&v1_xcmplx_0(esk5_0))&~v1_int_2(esk5_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_46])])).
cnf(c_0_49, plain, (r1_xxreal_0(X1,X1)|v1_zfmisc_1(X2)|~v1_xxreal_0(k1_newton(X2,X1))|~v1_xxreal_0(X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_35, c_0_39])).
cnf(c_0_50, negated_conjecture, (r1_xxreal_0(esk3_0,X1)|v1_zfmisc_1(esk1_0)|~r1_xxreal_0(k1_newton(esk2_0,esk4_0),k1_newton(esk1_0,X1))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_18]), c_0_16]), c_0_20])])).
cnf(c_0_51, negated_conjecture, (esk1_0=esk2_0|r1_xxreal_0(esk3_0,esk4_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X1)), 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_17, c_0_47]), c_0_19]), c_0_25]), c_0_20]), c_0_26]), c_0_22])])).
cnf(c_0_52, plain, (~v1_zfmisc_1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_53, plain, (r1_xxreal_0(X1,X1)|v1_zfmisc_1(X2)|~v1_xxreal_0(X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_43]), c_0_29])).
cnf(c_0_54, plain, (v7_ordinal1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_48])).
fof(c_0_55, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>(~v1_zfmisc_1(X1)&v7_ordinal1(X1))), inference(fof_simplification,[status(thm)],[cc1_nat_6])).
cnf(c_0_56, negated_conjecture, (r1_xxreal_0(esk3_0,esk4_0)|r1_xxreal_0(esk3_0,X1)|v1_zfmisc_1(esk2_0)|~r1_xxreal_0(k1_newton(esk2_0,esk4_0),k1_newton(esk2_0,X1))|~v1_xxreal_0(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_57, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|r1_xxreal_0(esk4_0,X2)|v1_zfmisc_1(esk2_0)|~r1_xxreal_0(k1_newton(esk2_0,esk3_0),k1_newton(esk2_0,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_30]), c_0_22]), c_0_26])])).
cnf(c_0_58, plain, (r1_xxreal_0(X1,X1)|~v1_xxreal_0(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])])).
fof(c_0_59, plain, ![X30]:((~v1_zfmisc_1(X30)|(~v7_ordinal1(X30)|~v1_int_2(X30)))&(v7_ordinal1(X30)|(~v7_ordinal1(X30)|~v1_int_2(X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])).
cnf(c_0_60, negated_conjecture, (r1_xxreal_0(esk3_0,esk4_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(k1_newton(esk2_0,esk4_0))|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_39]), c_0_22])])).
cnf(c_0_61, negated_conjecture, (v7_ordinal1(k1_newton(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_18]), c_0_16]), c_0_20])])).
cnf(c_0_62, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|r1_xxreal_0(esk4_0,esk3_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X2)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_16]), c_0_44])])).
fof(c_0_63, plain, ![X37, X38]:(~v1_xxreal_0(X37)|(~v1_xxreal_0(X38)|(~r1_xxreal_0(X37,X38)|~r1_xxreal_0(X38,X37)|X37=X38))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xxreal_0])])])).
cnf(c_0_64, plain, (~v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_65, negated_conjecture, (r1_xxreal_0(esk3_0,esk4_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_43]), c_0_61])])).
cnf(c_0_66, negated_conjecture, (r1_nat_d(esk1_0,k1_newton(esk2_0,esk4_0))|r1_xxreal_0(esk4_0,esk3_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_18]), c_0_20])])).
cnf(c_0_67, plain, (X1=X2|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_68, negated_conjecture, (r1_xxreal_0(esk3_0,esk4_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_25]), c_0_26])])).
cnf(c_0_69, negated_conjecture, (r1_xxreal_0(X1,esk3_0)|v1_zfmisc_1(esk1_0)|~r1_xxreal_0(k1_newton(esk1_0,X1),k1_newton(esk2_0,esk4_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_18]), c_0_16]), c_0_20])])).
cnf(c_0_70, negated_conjecture, (esk1_0=esk2_0|r1_xxreal_0(esk4_0,esk3_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X1)), 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_17, c_0_66]), c_0_19]), c_0_25]), c_0_20]), c_0_26]), c_0_22])])).
cnf(c_0_71, negated_conjecture, (esk4_0=esk3_0|~r1_xxreal_0(esk4_0,esk3_0)|~v1_xxreal_0(esk3_0)|~v1_xxreal_0(esk4_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_72, negated_conjecture, (r1_xxreal_0(esk4_0,esk3_0)|r1_xxreal_0(X1,esk3_0)|v1_zfmisc_1(esk2_0)|~r1_xxreal_0(k1_newton(esk2_0,X1),k1_newton(esk2_0,esk4_0))|~v1_xxreal_0(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_73, negated_conjecture, (esk4_0=esk3_0|~r1_xxreal_0(esk4_0,esk3_0)|~v1_xxreal_0(esk4_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_43]), c_0_16])])).
cnf(c_0_74, negated_conjecture, (r1_xxreal_0(esk4_0,esk3_0)|v1_zfmisc_1(esk2_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_58]), c_0_22]), c_0_61])])).
cnf(c_0_75, negated_conjecture, (esk4_0=esk3_0|~r1_xxreal_0(esk4_0,esk3_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_43]), c_0_22])])).
cnf(c_0_76, negated_conjecture, (r1_xxreal_0(esk4_0,esk3_0)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_74]), c_0_25]), c_0_26])])).
cnf(c_0_77, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|~r1_xxreal_0(esk4_0,k5_numbers)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_15]), c_0_16])]), c_0_21])).
cnf(c_0_78, negated_conjecture, (r1_nat_d(X1,k1_newton(X1,esk3_0))|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_15]), c_0_16])]), c_0_77])).
cnf(c_0_79, negated_conjecture, (r1_nat_d(esk1_0,k1_newton(esk2_0,esk4_0))|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_18]), c_0_20])])).
cnf(c_0_80, negated_conjecture, (esk1_0!=esk2_0|esk3_0!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_81, negated_conjecture, (esk1_0=esk2_0|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), 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_17, c_0_79]), c_0_19]), c_0_25]), c_0_20]), c_0_26]), c_0_22])])).
cnf(c_0_82, negated_conjecture, (esk4_0!=esk3_0|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_83, negated_conjecture, (esk4_0=esk3_0|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~v1_xxreal_0(X4)), inference(spm,[status(thm)],[c_0_75, c_0_76])).
cnf(c_0_84, negated_conjecture, (~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~v1_xxreal_0(X4)|~v1_xxreal_0(X5)|~v1_xxreal_0(X6)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_85, plain, (v1_xxreal_0(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_86, negated_conjecture, (~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~v1_xxreal_0(X4)|~v1_xxreal_0(X5)), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_87, negated_conjecture, (~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~v1_xxreal_0(X4)), inference(spm,[status(thm)],[c_0_86, c_0_85])).
cnf(c_0_88, negated_conjecture, (~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)), inference(spm,[status(thm)],[c_0_87, c_0_85])).
cnf(c_0_89, negated_conjecture, (~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(spm,[status(thm)],[c_0_88, c_0_85])).
cnf(c_0_90, negated_conjecture, (~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_89, c_0_85])).
cnf(c_0_91, plain, ($false), inference(sr,[status(thm)],[c_0_85, c_0_90]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 92
# Proof object clause steps            : 68
# Proof object formula steps           : 24
# Proof object conjectures             : 56
# Proof object clause conjectures      : 53
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 47
# Proof object simplifying inferences  : 98
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 31
# Processed clauses                    : 1388
# ...of these trivial                  : 0
# ...subsumed                          : 787
# ...remaining for further processing  : 601
# Other redundant clauses eliminated   : 78
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 182
# Backward-rewritten                   : 45
# Generated clauses                    : 22577
# ...of the previous two non-trivial   : 22080
# Contextual simplify-reflections      : 49
# Paramodulations                      : 22488
# Factorizations                       : 10
# NegExts                              : 0
# Equation resolutions                 : 78
# 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  : 342
#    Positive orientable unit clauses  : 21
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 317
# Current number of unprocessed clauses: 20436
# ...number of literals in the above   : 199787
# Current number of archived formulas  : 0
# Current number of archived clauses   : 259
# Clause-clause subsumption calls (NU) : 19358
# Rec. Clause-clause subsumption calls : 2853
# Non-unit clause-clause subsumptions  : 1013
# Unit Clause-clause subsumption calls : 185
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 576694

# -------------------------------------------------
# User time                : 0.377 s
# System time              : 0.012 s
# Total time               : 0.389 s
# Maximum resident set size: 3568 pages
