0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.23 % Computer : n016.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:48:24 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.24 # Version: 2.2pre001 0.07/0.39 # No SInE strategy applied 0.07/0.39 # Trying AutoSched0 for 151 seconds 7.59/7.83 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0Y 7.59/7.83 # and selection function SelectMaxLComplexAvoidPosPred. 7.59/7.83 # 7.59/7.83 # Preprocessing time : 1.187 s 7.59/7.83 # Presaturation interreduction done 7.59/7.83 7.59/7.83 # Proof found! 7.59/7.83 # SZS status Theorem 7.59/7.83 # SZS output start CNFRefutation 7.59/7.83 fof(fact_empty__def, axiom, ![X4]:c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))=hAPP(c_Set_OCollect(X4),hAPP(c_COMBK(tc_HOL_Obool,X4),c_fFalse)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty__def)). 7.59/7.83 fof(fact_Collect__def, axiom, ![X36, X4]:hAPP(c_Set_OCollect(X4),X36)=X36, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__def)). 7.59/7.83 fof(fact_Collect__neg__eq, axiom, ![X36, X4]:hAPP(c_Set_OCollect(X4),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4),c_fNot),X36))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4),X36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__neg__eq)). 7.59/7.83 fof(fact_empty__Collect__eq, axiom, ![X36, X4]:(hAPP(c_Set_OCollect(X4),X36)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))<=>![X48]:~(hBOOL(hAPP(X36,X48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty__Collect__eq)). 7.59/7.83 fof(help_c__COMBK__1, axiom, ![X274, X254, X4, X18]:X254=hAPP(hAPP(c_COMBK(X18,X4),X254),X274), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBK__1)). 7.59/7.83 fof(fact_double__complement, axiom, ![X2, X4]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4,tc_HOL_Obool)),X2))=X2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__complement)). 7.59/7.83 fof(fact_UNIV__def, axiom, ![X4]:c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))=hAPP(c_Set_OCollect(X4),hAPP(c_COMBK(tc_HOL_Obool,X4),c_fTrue)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_UNIV__def)). 7.59/7.83 fof(fact_nat_Osimps_I3_J, axiom, ![X152]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X152), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osimps_I3_J)). 7.59/7.83 fof(fact_transfer__nat__int__numerals_I1_J, axiom, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_transfer__nat__int__numerals_I1_J)). 7.59/7.83 fof(fact_Pls__def, axiom, c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Pls__def)). 7.59/7.83 fof(help_c__COMBB__1, axiom, ![X39, X60, X36, X27, X4, X25]:hAPP(hAPP(hAPP(c_COMBB(X25,X4,X27),X36),X60),X39)=hAPP(X36,hAPP(X60,X39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBB__1)). 7.59/7.83 fof(fact_nat__rec__0, axiom, ![X82, X66, X4]:hAPP(c_Nat_Onat_Onat__rec(X4,X66,X82),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X66, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__rec__0)). 7.59/7.83 fof(help_c__fNot__1, axiom, ![X36]:(~(hBOOL(X36))|~(hBOOL(hAPP(c_fNot,X36)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fNot__1)). 7.59/7.83 fof(fact_Compl__empty__eq, axiom, ![X4]:c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Compl__empty__eq)). 7.59/7.83 fof(fact_add__0__iff, axiom, ![X1, X42, X4]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)=>(c_Groups_Ozero__class_Ozero(X4)=X1<=>X42=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4),X42),X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__0__iff)). 7.59/7.83 fof(fact_add__Suc__right, axiom, ![X17, X35]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X35),X17))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X35),hAPP(c_Nat_OSuc,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__right)). 7.59/7.83 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, axiom, class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)). 7.59/7.83 fof(fact_Nat_Oadd__0__right, axiom, ![X35]:X35=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X35),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)). 7.59/7.83 fof(conj_0, hypothesis, hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 7.59/7.83 fof(fact_n__not__Suc__n, axiom, ![X17]:hAPP(c_Nat_OSuc,X17)!=X17, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_n__not__Suc__n)). 7.59/7.83 fof(c_0_20, plain, ![X16976]:c_Orderings_Obot__class_Obot(tc_fun(X16976,tc_HOL_Obool))=hAPP(c_Set_OCollect(X16976),hAPP(c_COMBK(tc_HOL_Obool,X16976),c_fFalse)), inference(variable_rename,[status(thm)],[fact_empty__def])). 7.59/7.83 fof(c_0_21, plain, ![X16115, X16116]:hAPP(c_Set_OCollect(X16116),X16115)=X16115, inference(variable_rename,[status(thm)],[fact_Collect__def])). 7.59/7.83 fof(c_0_22, plain, ![X6019, X6020]:hAPP(c_Set_OCollect(X6020),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6020),c_fNot),X6019))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6020,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6020),X6019)), inference(variable_rename,[status(thm)],[fact_Collect__neg__eq])). 7.59/7.83 fof(c_0_23, plain, ![X3346, X3347, X3348, X3346, X3347]:((hAPP(c_Set_OCollect(X3347),X3346)!=c_Orderings_Obot__class_Obot(tc_fun(X3347,tc_HOL_Obool))|~hBOOL(hAPP(X3346,X3348)))&(hBOOL(hAPP(X3346,esk95_1(X3346)))|hAPP(c_Set_OCollect(X3347),X3346)=c_Orderings_Obot__class_Obot(tc_fun(X3347,tc_HOL_Obool)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_empty__Collect__eq])])])])])])])). 7.59/7.83 fof(c_0_24, plain, ![X16729, X16730, X16731, X16732]:X16730=hAPP(hAPP(c_COMBK(X16732,X16731),X16730),X16729), inference(variable_rename,[status(thm)],[help_c__COMBK__1])). 7.59/7.83 cnf(c_0_25, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse))), inference(split_conjunct,[status(thm)],[c_0_20])). 7.59/7.83 cnf(c_0_26, plain, (hAPP(c_Set_OCollect(X1),X2)=X2), inference(split_conjunct,[status(thm)],[c_0_21])). 7.59/7.83 fof(c_0_27, plain, ![X15688, X15689]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X15689,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X15689,tc_HOL_Obool)),X15688))=X15688, inference(variable_rename,[status(thm)],[fact_double__complement])). 7.59/7.83 cnf(c_0_28, plain, (hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2))), inference(split_conjunct,[status(thm)],[c_0_22])). 7.59/7.83 cnf(c_0_29, plain, (hBOOL(hAPP(X1,esk95_1(X1)))|hAPP(c_Set_OCollect(X2),X1)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_23])). 7.59/7.83 cnf(c_0_30, plain, (X1=hAPP(hAPP(c_COMBK(X2,X3),X1),X4)), inference(split_conjunct,[status(thm)],[c_0_24])). 7.59/7.83 cnf(c_0_31, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_25, c_0_26])). 7.59/7.83 fof(c_0_32, plain, ![X13107]:c_Orderings_Otop__class_Otop(tc_fun(X13107,tc_HOL_Obool))=hAPP(c_Set_OCollect(X13107),hAPP(c_COMBK(tc_HOL_Obool,X13107),c_fTrue)), inference(variable_rename,[status(thm)],[fact_UNIV__def])). 7.59/7.83 fof(c_0_33, plain, ![X3182]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X3182), inference(variable_rename,[status(thm)],[fact_nat_Osimps_I3_J])). 7.59/7.83 cnf(c_0_34, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J])). 7.59/7.83 cnf(c_0_35, plain, (c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 7.59/7.83 fof(c_0_36, plain, ![X5900, X5901, X5902, X5903, X5904, X5905]:hAPP(hAPP(hAPP(c_COMBB(X5905,X5904,X5903),X5902),X5901),X5900)=hAPP(X5902,hAPP(X5901,X5900)), inference(variable_rename,[status(thm)],[help_c__COMBB__1])). 7.59/7.83 cnf(c_0_37, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2))=X2), inference(split_conjunct,[status(thm)],[c_0_27])). 7.59/7.83 cnf(c_0_38, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_26]), c_0_26])). 7.59/7.83 fof(c_0_39, plain, ![X7728, X7729, X7730]:hAPP(c_Nat_Onat_Onat__rec(X7730,X7729,X7728),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X7729, inference(variable_rename,[status(thm)],[fact_nat__rec__0])). 7.59/7.83 fof(c_0_40, plain, ![X12380]:(~hBOOL(X12380)|~hBOOL(hAPP(c_fNot,X12380))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])])). 7.59/7.83 cnf(c_0_41, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk95_1(X1)))), inference(rw,[status(thm)],[c_0_29, c_0_26])). 7.59/7.83 cnf(c_0_42, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_fFalse), inference(spm,[status(thm)],[c_0_30, c_0_31])). 7.59/7.83 fof(c_0_43, plain, ![X12205]:c_Orderings_Otop__class_Otop(tc_fun(X12205,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X12205,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X12205,tc_HOL_Obool))), inference(variable_rename,[status(thm)],[fact_Compl__empty__eq])). 7.59/7.83 cnf(c_0_44, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))=hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue))), inference(split_conjunct,[status(thm)],[c_0_32])). 7.59/7.83 fof(c_0_45, plain, ![X2705, X2706, X2707]:((c_Groups_Ozero__class_Ozero(X2707)!=X2705|X2706=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2707),X2706),X2705)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2707))&(X2706!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2707),X2706),X2705)|c_Groups_Ozero__class_Ozero(X2707)=X2705|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2707))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])])). 7.59/7.83 fof(c_0_46, plain, ![X490, X491]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X491),X490))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X491),hAPP(c_Nat_OSuc,X490)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])). 7.59/7.83 cnf(c_0_47, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_33])). 7.59/7.83 cnf(c_0_48, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Int_OPls)), inference(rw,[status(thm)],[c_0_34, c_0_35])). 7.59/7.83 cnf(c_0_49, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6))), inference(split_conjunct,[status(thm)],[c_0_36])). 7.59/7.83 cnf(c_0_50, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_38])). 7.59/7.83 cnf(c_0_51, plain, (hAPP(c_Nat_Onat_Onat__rec(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2), inference(split_conjunct,[status(thm)],[c_0_39])). 7.59/7.83 cnf(c_0_52, plain, (~hBOOL(X1)|~hBOOL(hAPP(c_fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_40])). 7.59/7.83 cnf(c_0_53, plain, (c_fFalse=X1|hBOOL(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_41]), c_0_42]), c_0_30])). 7.59/7.83 cnf(c_0_54, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))), inference(split_conjunct,[status(thm)],[c_0_43])). 7.59/7.83 cnf(c_0_55, plain, (hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_44, c_0_26])). 7.59/7.83 cnf(c_0_56, plain, (c_Groups_Ozero__class_Ozero(X2)=X3|X1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2)), inference(split_conjunct,[status(thm)],[c_0_45])). 7.59/7.83 cnf(c_0_57, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))), inference(split_conjunct,[status(thm)],[c_0_46])). 7.59/7.83 cnf(c_0_58, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct])). 7.59/7.83 cnf(c_0_59, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_47, c_0_48])). 7.59/7.83 fof(c_0_60, plain, ![X7865]:X7865=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X7865),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])). 7.59/7.83 cnf(c_0_61, plain, (hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2)))=hAPP(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_49])). 7.59/7.83 cnf(c_0_62, plain, (hAPP(c_Nat_Onat_Onat__rec(X1,X2,X3),hAPP(c_Int_Onat,c_Int_OPls))=X2), inference(rw,[status(thm)],[c_0_51, c_0_48])). 7.59/7.83 cnf(c_0_63, plain, (hAPP(c_fNot,X1)=c_fFalse|~hBOOL(X1)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 7.59/7.83 cnf(c_0_64, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_54, c_0_38])). 7.59/7.83 cnf(c_0_65, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_fTrue), inference(spm,[status(thm)],[c_0_30, c_0_55])). 7.59/7.83 cnf(c_0_66, hypothesis, (hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U))), inference(split_conjunct,[status(thm)],[conj_0])). 7.59/7.83 cnf(c_0_67, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))!=X1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_48]), c_0_58])]), c_0_59])). 7.59/7.83 cnf(c_0_68, plain, (X1=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[c_0_60])). 7.59/7.83 fof(c_0_69, plain, ![X11270]:hAPP(c_Nat_OSuc,X11270)!=X11270, inference(variable_rename,[status(thm)],[fact_n__not__Suc__n])). 7.59/7.83 cnf(c_0_70, plain, (hAPP(c_fNot,hAPP(c_fNot,X1))=X1), inference(spm,[status(thm)],[c_0_61, c_0_62])). 7.59/7.83 cnf(c_0_71, plain, (hAPP(c_fNot,X1)=c_fFalse|c_fFalse=X1), inference(spm,[status(thm)],[c_0_63, c_0_53])). 7.59/7.83 cnf(c_0_72, plain, (hAPP(c_fNot,c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_64]), c_0_65]), c_0_42])). 7.59/7.83 cnf(c_0_73, hypothesis, (hAPP(c_fNot,hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U))=c_fFalse), inference(spm,[status(thm)],[c_0_63, c_0_66])). 7.59/7.83 cnf(c_0_74, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))!=X1), inference(spm,[status(thm)],[c_0_67, c_0_57])). 7.59/7.83 cnf(c_0_75, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls))=X1), inference(rw,[status(thm)],[c_0_68, c_0_48])). 7.59/7.83 cnf(c_0_76, plain, (hAPP(c_Nat_OSuc,X1)!=X1), inference(split_conjunct,[status(thm)],[c_0_69])). 7.59/7.83 cnf(c_0_77, plain, (c_fFalse=X1|c_fTrue=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])). 7.59/7.83 cnf(c_0_78, hypothesis, (hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)=c_fTrue), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_73]), c_0_72])). 7.59/7.83 cnf(c_0_79, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))!=X1), inference(spm,[status(thm)],[c_0_74, c_0_75])). 7.59/7.83 cnf(c_0_80, plain, (hAPP(c_Nat_OSuc,X1)=c_fFalse|c_fTrue!=X1), inference(spm,[status(thm)],[c_0_76, c_0_77])). 7.59/7.83 cnf(c_0_81, hypothesis, (hAPP(c_fTrue,v_U)=c_fTrue|c_Finite__Set_Ofinite(tc_Com_Opname)=c_fFalse), inference(spm,[status(thm)],[c_0_78, c_0_77])). 7.59/7.83 cnf(c_0_82, plain, (hAPP(c_Nat_OSuc,c_fFalse)!=X1|c_fTrue!=X1), inference(spm,[status(thm)],[c_0_79, c_0_80])). 7.59/7.83 cnf(c_0_83, hypothesis, (hAPP(c_fTrue,v_U)=c_fTrue|hAPP(c_fFalse,v_U)=c_fTrue), inference(spm,[status(thm)],[c_0_78, c_0_81])). 7.59/7.83 cnf(c_0_84, plain, (c_fTrue!=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_77]), c_0_76])). 7.59/7.83 cnf(c_0_85, hypothesis, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_83, c_0_84]), c_0_84]), ['proof']). 7.59/7.83 # SZS output end CNFRefutation 7.59/7.83 # Proof object total steps : 86 7.59/7.83 # Proof object clause steps : 50 7.59/7.83 # Proof object formula steps : 36 7.59/7.83 # Proof object conjectures : 0 7.59/7.83 # Proof object clause conjectures : 0 7.59/7.83 # Proof object formula conjectures : 0 7.59/7.83 # Proof object initial clauses used : 20 7.59/7.83 # Proof object initial formulas used : 20 7.59/7.83 # Proof object generating inferences : 19 7.59/7.83 # Proof object simplifying inferences : 26 7.59/7.83 # Training examples: 0 positive, 0 negative 7.59/7.83 # Parsed axioms : 5228 7.59/7.83 # Removed by relevancy pruning/SinE : 0 7.59/7.83 # Initial clauses : 7599 7.59/7.83 # Removed in clause preprocessing : 243 7.59/7.83 # Initial clauses in saturation : 7356 7.59/7.83 # Processed clauses : 20129 7.59/7.83 # ...of these trivial : 478 7.59/7.83 # ...subsumed : 6950 7.59/7.83 # ...remaining for further processing : 12701 7.59/7.83 # Other redundant clauses eliminated : 306 7.59/7.83 # Clauses deleted for lack of memory : 0 7.59/7.83 # Backward-subsumed : 151 7.59/7.83 # Backward-rewritten : 470 7.59/7.83 # Generated clauses : 177978 7.59/7.83 # ...of the previous two non-trivial : 171249 7.59/7.83 # Contextual simplify-reflections : 1529 7.59/7.83 # Paramodulations : 177490 7.59/7.83 # Factorizations : 2 7.59/7.83 # Equation resolutions : 482 7.59/7.83 # Propositional unsat checks : 0 7.59/7.83 # Propositional check models : 0 7.59/7.83 # Propositional check unsatisfiable : 0 7.59/7.83 # Propositional clauses : 0 7.59/7.83 # Propositional clauses after purity: 0 7.59/7.83 # Propositional unsat core size : 0 7.59/7.83 # Current number of processed clauses : 5936 7.59/7.83 # Positive orientable unit clauses : 1466 7.59/7.83 # Positive unorientable unit clauses: 125 7.59/7.83 # Negative unit clauses : 519 7.59/7.83 # Non-unit-clauses : 3826 7.59/7.83 # Current number of unprocessed clauses: 137712 7.59/7.83 # ...number of literals in the above : 274083 7.59/7.83 # Current number of archived formulas : 0 7.59/7.83 # Current number of archived clauses : 6710 7.59/7.83 # Clause-clause subsumption calls (NU) : 5559081 7.59/7.83 # Rec. Clause-clause subsumption calls : 2578774 7.59/7.83 # Non-unit clause-clause subsumptions : 6138 7.59/7.83 # Unit Clause-clause subsumption calls : 124262 7.59/7.83 # Rewrite failures with RHS unbound : 160 7.59/7.83 # BW rewrite match attempts : 40077 7.59/7.83 # BW rewrite match successes : 1116 7.59/7.83 # Condensation attempts : 0 7.59/7.83 # Condensation successes : 0 7.59/7.83 # Termbank termtop insertions : 6207034 7.65/7.85 7.65/7.85 # ------------------------------------------------- 7.65/7.85 # User time : 7.423 s 7.65/7.85 # System time : 0.195 s 7.65/7.85 # Total time : 7.618 s 7.65/7.85 # Maximum resident set size: 10804 pages 7.66/7.86 EOF