# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
# and selection function PSelectNewComplexAHP.
#
# Preprocessing time       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc36_newton06, axiom, ![X1, X2]:(((v1_int_1(X1)&v1_int_1(X2))&~(v3_xxreal_0(X2)))=>(v7_ordinal1(k5_int_1(X1,X2))&v1_int_1(k5_int_1(X1,X2)))), file('newton06/newton06__t56_newton06', fc36_newton06)).
fof(cc3_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~(v3_xxreal_0(X1)))), file('newton06/newton06__t56_newton06', cc3_nat_1)).
fof(rd5_newton02, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(X1,X2)), file('newton06/newton06__t56_newton06', rd5_newton02)).
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('newton06/newton06__t56_newton06', redefinition_k4_nat_d)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton06/newton06__t56_newton06', cc2_int_1)).
fof(t56_newton06, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:((~(v1_zfmisc_1(X2))&v7_ordinal1(X2))=>![X3]:((v7_ordinal1(X3)&~(v8_ordinal1(X3)))=>(k4_nat_d(X1,k3_xcmplx_0(X2,X3))=np__1=>k4_nat_d(X1,X2)=np__1)))), file('newton06/newton06__t56_newton06', t56_newton06)).
fof(t23_int_4, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(~(r1_xxreal_0(X3,k5_numbers))=>(k4_nat_d(X1,X3)=k4_nat_d(X2,X3)<=>r1_int_1(X3,k6_xcmplx_0(X1,X2))))))), file('newton06/newton06__t56_newton06', t23_int_4)).
fof(fc2_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k3_xcmplx_0(X1,X2))), file('newton06/newton06__t56_newton06', fc2_nat_1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('newton06/newton06__t56_newton06', redefinition_k5_numbers)).
fof(dt_k5_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k5_int_1(X1,X2))), file('newton06/newton06__t56_newton06', dt_k5_int_1)).
fof(d3_int_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r1_int_1(X1,X2)<=>?[X3]:(v1_int_1(X3)&X2=k3_xcmplx_0(X1,X3))))), file('newton06/newton06__t56_newton06', d3_int_1)).
fof(fc2_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k3_xcmplx_0(X1,X2))), file('newton06/newton06__t56_newton06', fc2_int_1)).
fof(t9_int_2, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>((r1_int_1(X1,X2)&r1_int_1(X2,X3))=>r1_int_1(X1,X3))))), file('newton06/newton06__t56_newton06', t9_int_2)).
fof(fc4_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k6_xcmplx_0(X1,X2))), file('newton06/newton06__t56_newton06', fc4_int_1)).
fof(t6_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>(r1_xxreal_0(X1,X2)=>(v8_ordinal1(X1)|v2_xxreal_0(X2)|v3_xxreal_0(X1))))), file('newton06/newton06__t56_newton06', t6_real)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t56_newton06', cc2_xreal_0)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('newton06/newton06__t56_newton06', fc8_ordinal1)).
fof(rd12_newton06, axiom, ![X1]:((~(v1_zfmisc_1(X1))&v7_ordinal1(X1))=>k4_nat_d(np__1,X1)=np__1), file('newton06/newton06__t56_newton06', rd12_newton06)).
fof(cc3_newton03, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v1_zfmisc_1(X1)&v7_ordinal1(X1))), file('newton06/newton06__t56_newton06', cc3_newton03)).
fof(cc11_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v7_ordinal1(X1)), file('newton06/newton06__t56_newton06', cc11_ordinal1)).
fof(fc8_xcmplx_0, axiom, ![X1, X2]:((((~(v8_ordinal1(X1))&v1_xcmplx_0(X1))&~(v8_ordinal1(X2)))&v1_xcmplx_0(X2))=>~(v8_ordinal1(k3_xcmplx_0(X1,X2)))), file('newton06/newton06__t56_newton06', fc8_xcmplx_0)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('newton06/newton06__t56_newton06', cc4_nat_1)).
fof(cc1_xcmplx_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xcmplx_0(X1)), file('newton06/newton06__t56_newton06', cc1_xcmplx_0)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('newton06/newton06__t56_newton06', fc9_ordinal1)).
fof(c_0_24, plain, ![X1, X2]:(((v1_int_1(X1)&v1_int_1(X2))&~v3_xxreal_0(X2))=>(v7_ordinal1(k5_int_1(X1,X2))&v1_int_1(k5_int_1(X1,X2)))), inference(fof_simplification,[status(thm)],[fc36_newton06])).
fof(c_0_25, plain, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_nat_1])).
fof(c_0_26, plain, ![X69, X70]:(~v1_int_1(X69)|~v1_int_1(X70)|k5_int_1(k5_int_1(X69,X70),X70)=k5_int_1(X69,X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_newton02])])).
fof(c_0_27, plain, ![X71, X72]:(~v7_ordinal1(X71)|~v7_ordinal1(X72)|k4_nat_d(X71,X72)=k5_int_1(X71,X72)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_nat_d])])).
fof(c_0_28, plain, ![X47]:(~v7_ordinal1(X47)|v1_int_1(X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_29, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:((~v1_zfmisc_1(X2)&v7_ordinal1(X2))=>![X3]:((v7_ordinal1(X3)&~v8_ordinal1(X3))=>(k4_nat_d(X1,k3_xcmplx_0(X2,X3))=np__1=>k4_nat_d(X1,X2)=np__1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t56_newton06])])).
fof(c_0_30, plain, ![X62, X63]:((v7_ordinal1(k5_int_1(X62,X63))|(~v1_int_1(X62)|~v1_int_1(X63)|v3_xxreal_0(X63)))&(v1_int_1(k5_int_1(X62,X63))|(~v1_int_1(X62)|~v1_int_1(X63)|v3_xxreal_0(X63)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_31, plain, ![X49]:((v7_ordinal1(X49)|~v7_ordinal1(X49))&(~v3_xxreal_0(X49)|~v7_ordinal1(X49))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_32, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(~r1_xxreal_0(X3,k5_numbers)=>(k4_nat_d(X1,X3)=k4_nat_d(X2,X3)<=>r1_int_1(X3,k6_xcmplx_0(X1,X2))))))), inference(fof_simplification,[status(thm)],[t23_int_4])).
cnf(c_0_33, plain, (k5_int_1(k5_int_1(X1,X2),X2)=k5_int_1(X1,X2)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_34, plain, (k4_nat_d(X1,X2)=k5_int_1(X1,X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_35, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_36, negated_conjecture, (v7_ordinal1(esk1_0)&((~v1_zfmisc_1(esk2_0)&v7_ordinal1(esk2_0))&((v7_ordinal1(esk3_0)&~v8_ordinal1(esk3_0))&(k4_nat_d(esk1_0,k3_xcmplx_0(esk2_0,esk3_0))=np__1&k4_nat_d(esk1_0,esk2_0)!=np__1)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
cnf(c_0_37, plain, (v7_ordinal1(k5_int_1(X1,X2))|v3_xxreal_0(X2)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_38, plain, (~v3_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_39, plain, ![X73, X74, X75]:((k4_nat_d(X73,X75)!=k4_nat_d(X74,X75)|r1_int_1(X75,k6_xcmplx_0(X73,X74))|r1_xxreal_0(X75,k5_numbers)|~v7_ordinal1(X75)|~v7_ordinal1(X74)|~v7_ordinal1(X73))&(~r1_int_1(X75,k6_xcmplx_0(X73,X74))|k4_nat_d(X73,X75)=k4_nat_d(X74,X75)|r1_xxreal_0(X75,k5_numbers)|~v7_ordinal1(X75)|~v7_ordinal1(X74)|~v7_ordinal1(X73))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])).
cnf(c_0_40, plain, (k5_int_1(k4_nat_d(X1,X2),X2)=k4_nat_d(X1,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_35])).
cnf(c_0_41, negated_conjecture, (k4_nat_d(esk1_0,k3_xcmplx_0(esk2_0,esk3_0))=np__1), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_43, plain, ![X60, X61]:(~v7_ordinal1(X60)|~v7_ordinal1(X61)|v7_ordinal1(k3_xcmplx_0(X60,X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_nat_1])])).
cnf(c_0_44, plain, (v7_ordinal1(k4_nat_d(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_34]), c_0_35]), c_0_35]), c_0_38])).
cnf(c_0_45, plain, (r1_int_1(X2,k6_xcmplx_0(X1,X3))|r1_xxreal_0(X2,k5_numbers)|k4_nat_d(X1,X2)!=k4_nat_d(X3,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_46, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_47, negated_conjecture, (k5_int_1(np__1,k3_xcmplx_0(esk2_0,esk3_0))=np__1|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
cnf(c_0_48, plain, (v7_ordinal1(k3_xcmplx_0(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_49, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_50, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_51, negated_conjecture, (v7_ordinal1(np__1)|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_41]), c_0_42])])).
cnf(c_0_52, plain, (r1_xxreal_0(X1,k5_ordinal1)|r1_int_1(X1,k6_xcmplx_0(X2,X3))|k4_nat_d(X2,X1)!=k4_nat_d(X3,X1)|~v7_ordinal1(X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(rw,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_53, negated_conjecture, (k5_int_1(np__1,k3_xcmplx_0(esk2_0,esk3_0))=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_54, negated_conjecture, (v7_ordinal1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_48]), c_0_49]), c_0_50])])).
fof(c_0_55, plain, ![X56, X57]:(~v1_int_1(X56)|~v1_int_1(X57)|v1_int_1(k5_int_1(X56,X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_int_1])])).
cnf(c_0_56, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|r1_int_1(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(X1,esk1_0))|k4_nat_d(X1,k3_xcmplx_0(esk2_0,esk3_0))!=np__1|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_41]), c_0_42])])).
cnf(c_0_57, negated_conjecture, (k4_nat_d(np__1,k3_xcmplx_0(esk2_0,esk3_0))=np__1|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_53]), c_0_54])])).
cnf(c_0_58, plain, (v1_int_1(k5_int_1(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
fof(c_0_59, plain, ![X52, X53, X55]:(((v1_int_1(esk4_2(X52,X53))|~r1_int_1(X52,X53)|~v1_int_1(X53)|~v1_int_1(X52))&(X53=k3_xcmplx_0(X52,esk4_2(X52,X53))|~r1_int_1(X52,X53)|~v1_int_1(X53)|~v1_int_1(X52)))&(~v1_int_1(X55)|X53!=k3_xcmplx_0(X52,X55)|r1_int_1(X52,X53)|~v1_int_1(X53)|~v1_int_1(X52))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_int_1])])])])])).
fof(c_0_60, plain, ![X58, X59]:(~v1_int_1(X58)|~v1_int_1(X59)|v1_int_1(k3_xcmplx_0(X58,X59))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_int_1])])).
cnf(c_0_61, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|r1_int_1(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(X1,esk1_0))|k4_nat_d(X1,k3_xcmplx_0(esk2_0,esk3_0))!=np__1|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_62, negated_conjecture, (k4_nat_d(np__1,k3_xcmplx_0(esk2_0,esk3_0))=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_63, plain, (v1_int_1(k4_nat_d(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_34]), c_0_35]), c_0_35])).
fof(c_0_64, plain, ![X78, X79, X80]:(~v1_int_1(X78)|(~v1_int_1(X79)|(~v1_int_1(X80)|(~r1_int_1(X78,X79)|~r1_int_1(X79,X80)|r1_int_1(X78,X80))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_int_2])])])).
cnf(c_0_65, plain, (r1_int_1(X3,X2)|~v1_int_1(X1)|X2!=k3_xcmplx_0(X3,X1)|~v1_int_1(X2)|~v1_int_1(X3)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_66, plain, (v1_int_1(k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_67, plain, (X1=k3_xcmplx_0(X2,esk4_2(X2,X1))|~r1_int_1(X2,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_68, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|r1_int_1(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_54])])).
cnf(c_0_69, plain, (v1_int_1(esk4_2(X1,X2))|~r1_int_1(X1,X2)|~v1_int_1(X2)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_70, plain, ![X64, X65]:(~v1_int_1(X64)|~v1_int_1(X65)|v1_int_1(k6_xcmplx_0(X64,X65))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_int_1])])).
cnf(c_0_71, negated_conjecture, (v1_int_1(np__1)|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_41]), c_0_42])])).
cnf(c_0_72, plain, (r1_int_1(X1,X3)|~v1_int_1(X1)|~v1_int_1(X2)|~v1_int_1(X3)|~r1_int_1(X1,X2)|~r1_int_1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_73, plain, (r1_int_1(X1,k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_65]), c_0_66])).
cnf(c_0_74, negated_conjecture, (k3_xcmplx_0(k3_xcmplx_0(esk2_0,esk3_0),esk4_2(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0)))=k6_xcmplx_0(np__1,esk1_0)|r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|~v1_int_1(k3_xcmplx_0(esk2_0,esk3_0))|~v1_int_1(k6_xcmplx_0(np__1,esk1_0))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_75, negated_conjecture, (v1_int_1(esk3_0)), inference(spm,[status(thm)],[c_0_35, c_0_49])).
cnf(c_0_76, negated_conjecture, (v1_int_1(esk2_0)), inference(spm,[status(thm)],[c_0_35, c_0_50])).
cnf(c_0_77, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|v1_int_1(esk4_2(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0)))|~v1_int_1(k6_xcmplx_0(np__1,esk1_0))|~v1_int_1(k3_xcmplx_0(esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_69, c_0_68])).
cnf(c_0_78, plain, (v1_int_1(k6_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_79, negated_conjecture, (v1_int_1(esk1_0)), inference(spm,[status(thm)],[c_0_35, c_0_42])).
cnf(c_0_80, negated_conjecture, (v1_int_1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_81, plain, (r1_int_1(X1,k3_xcmplx_0(X2,X3))|~r1_int_1(X1,X2)|~v1_int_1(X2)|~v1_int_1(X1)|~v1_int_1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_66])).
cnf(c_0_82, negated_conjecture, (k3_xcmplx_0(k3_xcmplx_0(esk2_0,esk3_0),esk4_2(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0)))=k6_xcmplx_0(np__1,esk1_0)|r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|~v1_int_1(k6_xcmplx_0(np__1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_66]), c_0_75]), c_0_76])])).
cnf(c_0_83, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|v1_int_1(esk4_2(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0)))|~v1_int_1(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79]), c_0_80])])).
fof(c_0_84, plain, ![X76, X77]:(~v1_xreal_0(X76)|(~v1_xreal_0(X77)|(~r1_xxreal_0(X76,X77)|(v8_ordinal1(X76)|v2_xxreal_0(X77)|v3_xxreal_0(X76))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_real])])])).
cnf(c_0_85, plain, (r1_int_1(X1,k3_xcmplx_0(k3_xcmplx_0(X1,X2),X3))|~v1_int_1(X1)|~v1_int_1(X3)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_73]), c_0_66])).
cnf(c_0_86, negated_conjecture, (k3_xcmplx_0(k3_xcmplx_0(esk2_0,esk3_0),esk4_2(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0)))=k6_xcmplx_0(np__1,esk1_0)|r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_78]), c_0_79]), c_0_80])])).
cnf(c_0_87, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|v1_int_1(esk4_2(k3_xcmplx_0(esk2_0,esk3_0),k6_xcmplx_0(np__1,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_66]), c_0_75]), c_0_76])])).
cnf(c_0_88, plain, (v8_ordinal1(X1)|v2_xxreal_0(X2)|v3_xxreal_0(X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~r1_xxreal_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_89, negated_conjecture, (r1_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0),k5_ordinal1)|r1_int_1(esk2_0,k6_xcmplx_0(np__1,esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_76]), c_0_75])]), c_0_87])).
fof(c_0_90, plain, ![X48]:(~v7_ordinal1(X48)|v1_xreal_0(X48)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_91, negated_conjecture, (r1_int_1(esk2_0,k6_xcmplx_0(np__1,esk1_0))|v2_xxreal_0(k5_ordinal1)|v3_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0))|v8_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))|~v1_xreal_0(k3_xcmplx_0(esk2_0,esk3_0))|~v1_xreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_92, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_93, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
fof(c_0_94, plain, ![X1]:((~v1_zfmisc_1(X1)&v7_ordinal1(X1))=>k4_nat_d(np__1,X1)=np__1), inference(fof_simplification,[status(thm)],[rd12_newton06])).
cnf(c_0_95, negated_conjecture, (r1_int_1(esk2_0,k6_xcmplx_0(np__1,esk1_0))|v2_xxreal_0(k5_ordinal1)|v3_xxreal_0(k3_xcmplx_0(esk2_0,esk3_0))|v8_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))|~v1_xreal_0(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])])).
fof(c_0_96, plain, ![X68]:(v1_zfmisc_1(X68)|~v7_ordinal1(X68)|k4_nat_d(np__1,X68)=np__1), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])).
fof(c_0_97, plain, ![X50]:((v1_zfmisc_1(X50)|(~v7_ordinal1(X50)|~v8_ordinal1(X50)))&(v7_ordinal1(X50)|(~v7_ordinal1(X50)|~v8_ordinal1(X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_newton03])])])).
fof(c_0_98, plain, ![X45]:(~v8_ordinal1(X45)|v7_ordinal1(X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_ordinal1])])).
fof(c_0_99, plain, ![X1, X2]:((((~v8_ordinal1(X1)&v1_xcmplx_0(X1))&~v8_ordinal1(X2))&v1_xcmplx_0(X2))=>~v8_ordinal1(k3_xcmplx_0(X1,X2))), inference(fof_simplification,[status(thm)],[fc8_xcmplx_0])).
cnf(c_0_100, plain, (k4_nat_d(X2,X1)=k4_nat_d(X3,X1)|r1_xxreal_0(X1,k5_numbers)|~r1_int_1(X1,k6_xcmplx_0(X2,X3))|~v7_ordinal1(X1)|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_101, negated_conjecture, (r1_int_1(esk2_0,k6_xcmplx_0(np__1,esk1_0))|v2_xxreal_0(k5_ordinal1)|v8_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))|~v7_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_92]), c_0_38])).
cnf(c_0_102, negated_conjecture, (~v1_zfmisc_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_103, plain, (v1_zfmisc_1(X1)|k4_nat_d(np__1,X1)=np__1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_104, plain, (v1_zfmisc_1(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_105, plain, (v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_98])).
fof(c_0_106, plain, ![X66, X67]:(v8_ordinal1(X66)|~v1_xcmplx_0(X66)|v8_ordinal1(X67)|~v1_xcmplx_0(X67)|~v8_ordinal1(k3_xcmplx_0(X66,X67))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])).
cnf(c_0_107, plain, (k4_nat_d(X1,X2)=k4_nat_d(X3,X2)|r1_xxreal_0(X2,k5_ordinal1)|~r1_int_1(X2,k6_xcmplx_0(X1,X3))|~v7_ordinal1(X3)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(rw,[status(thm)],[c_0_100, c_0_46])).
cnf(c_0_108, negated_conjecture, (r1_int_1(esk2_0,k6_xcmplx_0(np__1,esk1_0))|v2_xxreal_0(k5_ordinal1)|v8_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_48]), c_0_49]), c_0_50])])).
cnf(c_0_109, negated_conjecture, (k4_nat_d(np__1,esk2_0)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_50])])).
cnf(c_0_110, negated_conjecture, (k4_nat_d(esk1_0,esk2_0)!=np__1), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_111, plain, (v1_zfmisc_1(X1)|~v8_ordinal1(X1)), inference(csr,[status(thm)],[c_0_104, c_0_105])).
fof(c_0_112, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
cnf(c_0_113, plain, (v8_ordinal1(X1)|v8_ordinal1(X2)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)|~v8_ordinal1(k3_xcmplx_0(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_114, negated_conjecture, (r1_xxreal_0(esk2_0,k5_ordinal1)|v2_xxreal_0(k5_ordinal1)|v8_ordinal1(k3_xcmplx_0(esk2_0,esk3_0))), 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(spm,[status(thm)],[c_0_107, c_0_108]), c_0_109]), c_0_42]), c_0_54]), c_0_50])]), c_0_110])).
cnf(c_0_115, negated_conjecture, (~v8_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_116, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(spm,[status(thm)],[c_0_102, c_0_111])).
fof(c_0_117, plain, ![X46]:(~v7_ordinal1(X46)|v1_xcmplx_0(X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_xcmplx_0])])).
fof(c_0_118, plain, ![X51]:((v7_ordinal1(X51)|(~v7_ordinal1(X51)|~v8_ordinal1(X51)))&(~v2_xxreal_0(X51)|(~v7_ordinal1(X51)|~v8_ordinal1(X51)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])).
cnf(c_0_119, negated_conjecture, (r1_xxreal_0(esk2_0,k5_ordinal1)|v2_xxreal_0(k5_ordinal1)|~v1_xcmplx_0(esk3_0)|~v1_xcmplx_0(esk2_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_115]), c_0_116])).
cnf(c_0_120, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_117])).
cnf(c_0_121, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_122, negated_conjecture, (r1_xxreal_0(esk2_0,k5_ordinal1)|v2_xxreal_0(k5_ordinal1)|~v1_xcmplx_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_49])])).
cnf(c_0_123, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)), inference(csr,[status(thm)],[c_0_121, c_0_105])).
cnf(c_0_124, negated_conjecture, (r1_xxreal_0(esk2_0,k5_ordinal1)|v2_xxreal_0(k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_120]), c_0_50])])).
cnf(c_0_125, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_126, negated_conjecture, (r1_xxreal_0(esk2_0,k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_125])])).
cnf(c_0_127, negated_conjecture, (v2_xxreal_0(k5_ordinal1)|v3_xxreal_0(esk2_0)|~v1_xreal_0(k5_ordinal1)|~v1_xreal_0(esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_126]), c_0_116])).
cnf(c_0_128, negated_conjecture, (v2_xxreal_0(k5_ordinal1)|v3_xxreal_0(esk2_0)|~v1_xreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_92]), c_0_93])])).
cnf(c_0_129, negated_conjecture, (v2_xxreal_0(k5_ordinal1)|v3_xxreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_92]), c_0_50])])).
cnf(c_0_130, negated_conjecture, (v3_xxreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_129]), c_0_125])])).
cnf(c_0_131, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_130]), c_0_50])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 132
# Proof object clause steps            : 80
# Proof object formula steps           : 52
# Proof object conjectures             : 47
# Proof object clause conjectures      : 44
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 33
# Proof object initial formulas used   : 24
# Proof object generating inferences   : 42
# Proof object simplifying inferences  : 89
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 24
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 34
# Processed clauses                    : 356
# ...of these trivial                  : 0
# ...subsumed                          : 98
# ...remaining for further processing  : 258
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 81
# Backward-rewritten                   : 27
# Generated clauses                    : 647
# ...of the previous two non-trivial   : 588
# Contextual simplify-reflections      : 51
# Paramodulations                      : 641
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 116
#    Positive orientable unit clauses  : 19
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 93
# Current number of unprocessed clauses: 283
# ...number of literals in the above   : 1797
# Current number of archived formulas  : 0
# Current number of archived clauses   : 141
# Clause-clause subsumption calls (NU) : 6382
# Rec. Clause-clause subsumption calls : 2099
# Non-unit clause-clause subsumptions  : 224
# Unit Clause-clause subsumption calls : 190
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 18560

# -------------------------------------------------
# User time                : 0.033 s
# System time              : 0.004 s
# Total time               : 0.037 s
# Maximum resident set size: 3456 pages
