0.02/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.24 % Computer : n068.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:15:24 CDT 2018 0.03/0.24 % 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 9.60/9.87 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0Y 9.60/9.87 # and selection function SelectMaxLComplexAvoidPosPred. 9.60/9.87 # 9.60/9.87 # Preprocessing time : 1.155 s 9.60/9.87 # Presaturation interreduction done 9.60/9.87 9.60/9.87 # Proof found! 9.60/9.87 # SZS status Theorem 9.60/9.87 # SZS output start CNFRefutation 9.60/9.87 fof(fact_empty__def, axiom, ![X5]:hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty__def)). 9.60/9.87 fof(fact_Collect__def, axiom, ![X20, X5]:hAPP(c_Set_OCollect(X5),X20)=X20, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__def)). 9.60/9.87 fof(help_c__COMBK__1, axiom, ![X293, X165, X12, X5]:X165=hAPP(hAPP(c_COMBK(X5,X12),X165),X293), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBK__1)). 9.60/9.87 fof(fact_Collect__neg__eq, axiom, ![X20, X5]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X20))=hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__neg__eq)). 9.60/9.87 fof(fact_Collect__empty__eq, axiom, ![X20, X5]:(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))=hAPP(c_Set_OCollect(X5),X20)<=>![X15]:~(hBOOL(hAPP(X20,X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__empty__eq)). 9.60/9.87 fof(fact_ext, axiom, ![X10, X11]:(![X15]:hAPP(X10,X15)=hAPP(X11,X15)=>X11=X10), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_ext)). 9.60/9.87 fof(fact_double__complement, axiom, ![X4, X5]:X4=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__complement)). 9.60/9.87 fof(fact_singleton__conv2, axiom, ![X28, X5]:hAPP(hAPP(c_Set_Oinsert(X5),X28),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))=hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_singleton__conv2)). 9.60/9.87 fof(fact_Compl__empty__eq, axiom, ![X5]:c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Compl__empty__eq)). 9.60/9.87 fof(fact_UNIV__def, axiom, ![X5]:hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_UNIV__def)). 9.60/9.87 fof(fact_add__eq__self__zero, axiom, ![X8, X9]:(X9=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X9),X8)=>X8=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__eq__self__zero)). 9.60/9.87 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)). 9.60/9.87 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)). 9.60/9.87 fof(fact_Suc__neq__Zero, axiom, ![X9]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X9), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__neq__Zero)). 9.60/9.87 fof(help_c__COMBB__1, axiom, ![X47, X84, X20, X14, X5, X12]:hAPP(hAPP(hAPP(c_COMBB(X12,X5,X14),X20),X84),X47)=hAPP(X20,hAPP(X84,X47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBB__1)). 9.60/9.87 fof(fact_fold1__singleton, axiom, ![X28, X11, X5]:X28=hAPP(c_Finite__Set_Ofold1(X5,X11),hAPP(hAPP(c_Set_Oinsert(X5),X28),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_fold1__singleton)). 9.60/9.87 fof(help_c__fNot__1, axiom, ![X20]:(~(hBOOL(X20))|~(hBOOL(hAPP(c_fNot,X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fNot__1)). 9.60/9.87 fof(fact_add__Suc__right, axiom, ![X8, X9]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X9),X8))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X9),hAPP(c_Nat_OSuc,X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__right)). 9.60/9.87 fof(fact_Nat_Oadd__0__right, axiom, ![X9]:X9=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X9),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)). 9.60/9.87 fof(fact_n__not__Suc__n, axiom, ![X8]:hAPP(c_Nat_OSuc,X8)!=X8, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_n__not__Suc__n)). 9.60/9.87 fof(c_0_20, plain, ![X6008]:hAPP(c_Set_OCollect(X6008),hAPP(c_COMBK(tc_HOL_Obool,X6008),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X6008,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_empty__def])). 9.60/9.87 fof(c_0_21, plain, ![X10771, X10772]:hAPP(c_Set_OCollect(X10772),X10771)=X10771, inference(variable_rename,[status(thm)],[fact_Collect__def])). 9.60/9.87 fof(c_0_22, plain, ![X12673, X12674, X12675, X12676]:X12674=hAPP(hAPP(c_COMBK(X12676,X12675),X12674),X12673), inference(variable_rename,[status(thm)],[help_c__COMBK__1])). 9.60/9.87 cnf(c_0_23, plain, (hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_20])). 9.60/9.87 cnf(c_0_24, plain, (hAPP(c_Set_OCollect(X1),X2)=X2), inference(split_conjunct,[status(thm)],[c_0_21])). 9.60/9.87 fof(c_0_25, plain, ![X2497, X2498]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2498,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2498),X2497))=hAPP(c_Set_OCollect(X2498),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2498),c_fNot),X2497)), inference(variable_rename,[status(thm)],[fact_Collect__neg__eq])). 9.60/9.87 fof(c_0_26, plain, ![X360, X361, X362, X360, X361]:((c_Orderings_Obot__class_Obot(tc_fun(X361,tc_HOL_Obool))!=hAPP(c_Set_OCollect(X361),X360)|~hBOOL(hAPP(X360,X362)))&(hBOOL(hAPP(X360,esk3_1(X360)))|c_Orderings_Obot__class_Obot(tc_fun(X361,tc_HOL_Obool))=hAPP(c_Set_OCollect(X361),X360))), 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_Collect__empty__eq])])])])])])])). 9.60/9.87 fof(c_0_27, plain, ![X962, X963]:(hAPP(X962,esk28_2(X962,X963))!=hAPP(X963,esk28_2(X962,X963))|X963=X962), inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])])])])). 9.60/9.87 cnf(c_0_28, plain, (X1=hAPP(hAPP(c_COMBK(X2,X3),X1),X4)), inference(split_conjunct,[status(thm)],[c_0_22])). 9.60/9.87 cnf(c_0_29, 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_23, c_0_24])). 9.60/9.87 fof(c_0_30, plain, ![X5267, X5268]:X5267=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5268,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5268,tc_HOL_Obool)),X5267)), inference(variable_rename,[status(thm)],[fact_double__complement])). 9.60/9.87 cnf(c_0_31, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2))=hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2))), inference(split_conjunct,[status(thm)],[c_0_25])). 9.60/9.87 fof(c_0_32, plain, ![X8452, X8453]:hAPP(hAPP(c_Set_Oinsert(X8453),X8452),c_Orderings_Obot__class_Obot(tc_fun(X8453,tc_HOL_Obool)))=hAPP(c_Set_OCollect(X8453),hAPP(c_fequal,X8452)), inference(variable_rename,[status(thm)],[fact_singleton__conv2])). 9.60/9.87 cnf(c_0_33, plain, (hBOOL(hAPP(X1,esk3_1(X1)))|c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))=hAPP(c_Set_OCollect(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_26])). 9.60/9.87 fof(c_0_34, plain, ![X4881]:c_Orderings_Otop__class_Otop(tc_fun(X4881,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4881,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X4881,tc_HOL_Obool))), inference(variable_rename,[status(thm)],[fact_Compl__empty__eq])). 9.60/9.87 cnf(c_0_35, plain, (X2=X1|hAPP(X1,esk28_2(X1,X2))!=hAPP(X2,esk28_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_27])). 9.60/9.87 cnf(c_0_36, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_fFalse), inference(spm,[status(thm)],[c_0_28, c_0_29])). 9.60/9.87 fof(c_0_37, plain, ![X14281]:hAPP(c_Set_OCollect(X14281),hAPP(c_COMBK(tc_HOL_Obool,X14281),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X14281,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_UNIV__def])). 9.60/9.87 fof(c_0_38, plain, ![X12124, X12125]:(X12125!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12125),X12124)|X12124=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])])])). 9.60/9.87 cnf(c_0_39, 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])). 9.60/9.87 cnf(c_0_40, plain, (c_Int_OPls=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 9.60/9.87 fof(c_0_41, plain, ![X6025]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X6025), inference(variable_rename,[status(thm)],[fact_Suc__neq__Zero])). 9.60/9.87 fof(c_0_42, plain, ![X11430, X11431, X11432, X11433, X11434, X11435]:hAPP(hAPP(hAPP(c_COMBB(X11435,X11434,X11433),X11432),X11431),X11430)=hAPP(X11432,hAPP(X11431,X11430)), inference(variable_rename,[status(thm)],[help_c__COMBB__1])). 9.60/9.87 cnf(c_0_43, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2,tc_HOL_Obool)),X1))), inference(split_conjunct,[status(thm)],[c_0_30])). 9.60/9.87 cnf(c_0_44, 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_31, c_0_24]), c_0_24])). 9.60/9.87 fof(c_0_45, plain, ![X15947, X15948, X15949]:X15947=hAPP(c_Finite__Set_Ofold1(X15949,X15948),hAPP(hAPP(c_Set_Oinsert(X15949),X15947),c_Orderings_Obot__class_Obot(tc_fun(X15949,tc_HOL_Obool)))), inference(variable_rename,[status(thm)],[fact_fold1__singleton])). 9.60/9.87 cnf(c_0_46, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2))), inference(split_conjunct,[status(thm)],[c_0_32])). 9.60/9.87 fof(c_0_47, plain, ![X16529]:(~hBOOL(X16529)|~hBOOL(hAPP(c_fNot,X16529))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])])). 9.60/9.87 cnf(c_0_48, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk3_1(X1)))), inference(rw,[status(thm)],[c_0_33, c_0_24])). 9.60/9.87 cnf(c_0_49, 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_34])). 9.60/9.87 cnf(c_0_50, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hAPP(X1,esk28_2(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))!=c_fFalse), inference(spm,[status(thm)],[c_0_35, c_0_36])). 9.60/9.87 cnf(c_0_51, plain, (hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_37])). 9.60/9.87 cnf(c_0_52, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)), inference(split_conjunct,[status(thm)],[c_0_38])). 9.60/9.87 cnf(c_0_53, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Int_OPls)), inference(rw,[status(thm)],[c_0_39, c_0_40])). 9.60/9.87 fof(c_0_54, plain, ![X12510, X12511]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12511),X12510))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12511),hAPP(c_Nat_OSuc,X12510)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])). 9.60/9.87 cnf(c_0_55, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_41])). 9.60/9.87 cnf(c_0_56, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6))), inference(split_conjunct,[status(thm)],[c_0_42])). 9.60/9.87 cnf(c_0_57, 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_43, c_0_44]), c_0_44])). 9.60/9.87 cnf(c_0_58, plain, (X1=hAPP(c_Finite__Set_Ofold1(X2,X3),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))), inference(split_conjunct,[status(thm)],[c_0_45])). 9.60/9.87 cnf(c_0_59, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=hAPP(c_fequal,X2)), inference(rw,[status(thm)],[c_0_46, c_0_24])). 9.60/9.87 cnf(c_0_60, plain, (~hBOOL(X1)|~hBOOL(hAPP(c_fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_47])). 9.60/9.87 cnf(c_0_61, plain, (c_fFalse=X1|hBOOL(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_48]), c_0_36]), c_0_28])). 9.60/9.87 cnf(c_0_62, 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_49, c_0_44])). 9.60/9.87 cnf(c_0_63, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))), inference(spm,[status(thm)],[c_0_50, c_0_36])). 9.60/9.87 cnf(c_0_64, 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_51, c_0_24])). 9.60/9.87 cnf(c_0_65, plain, (X1=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=X2), inference(rw,[status(thm)],[c_0_52, c_0_53])). 9.60/9.87 cnf(c_0_66, 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_54])). 9.60/9.87 cnf(c_0_67, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_55, c_0_53])). 9.60/9.87 fof(c_0_68, plain, ![X10482]:X10482=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X10482),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])). 9.60/9.87 cnf(c_0_69, plain, (hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2)))=hAPP(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_56])). 9.60/9.87 cnf(c_0_70, plain, (hAPP(c_Finite__Set_Ofold1(X1,X2),hAPP(c_fequal,X3))=X3), inference(rw,[status(thm)],[c_0_58, c_0_59])). 9.60/9.87 cnf(c_0_71, plain, (hAPP(c_fNot,X1)=c_fFalse|~hBOOL(X1)), inference(spm,[status(thm)],[c_0_60, c_0_61])). 9.60/9.87 cnf(c_0_72, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))), inference(spm,[status(thm)],[c_0_62, c_0_63])). 9.60/9.87 cnf(c_0_73, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_fTrue), inference(spm,[status(thm)],[c_0_28, c_0_64])). 9.60/9.87 cnf(c_0_74, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))!=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67])). 9.60/9.87 cnf(c_0_75, 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_68])). 9.60/9.87 fof(c_0_76, plain, ![X1362]:hAPP(c_Nat_OSuc,X1362)!=X1362, inference(variable_rename,[status(thm)],[fact_n__not__Suc__n])). 9.60/9.87 cnf(c_0_77, plain, (hAPP(c_fNot,hAPP(c_fNot,X1))=X1), inference(spm,[status(thm)],[c_0_69, c_0_70])). 9.60/9.87 cnf(c_0_78, plain, (hAPP(c_fNot,X1)=c_fFalse|c_fFalse=X1), inference(spm,[status(thm)],[c_0_71, c_0_61])). 9.60/9.87 cnf(c_0_79, plain, (hAPP(c_fNot,c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_72]), c_0_73]), c_0_36])). 9.60/9.87 cnf(c_0_80, 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_74, c_0_66])). 9.60/9.87 cnf(c_0_81, 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_75, c_0_53])). 9.60/9.87 cnf(c_0_82, plain, (hAPP(c_Nat_OSuc,X1)!=X1), inference(split_conjunct,[status(thm)],[c_0_76])). 9.60/9.87 cnf(c_0_83, plain, (c_fFalse=X1|c_fTrue=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79])). 9.60/9.87 cnf(c_0_84, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))!=X1), inference(spm,[status(thm)],[c_0_80, c_0_81])). 9.60/9.87 cnf(c_0_85, plain, (hAPP(c_Nat_OSuc,X1)=c_fFalse|c_fTrue!=X1), inference(spm,[status(thm)],[c_0_82, c_0_83])). 9.60/9.87 cnf(c_0_86, plain, (hAPP(c_Nat_OSuc,c_fFalse)!=X1|c_fTrue!=X1), inference(spm,[status(thm)],[c_0_84, c_0_85])). 9.60/9.87 cnf(c_0_87, plain, (c_fTrue!=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_83]), c_0_82])). 9.60/9.87 cnf(c_0_88, plain, ($false), inference(sr,[status(thm)],[c_0_73, c_0_87]), ['proof']). 9.60/9.87 # SZS output end CNFRefutation 9.60/9.87 # Proof object total steps : 89 9.60/9.87 # Proof object clause steps : 51 9.60/9.87 # Proof object formula steps : 38 9.60/9.87 # Proof object conjectures : 0 9.60/9.87 # Proof object clause conjectures : 0 9.60/9.87 # Proof object formula conjectures : 0 9.60/9.87 # Proof object initial clauses used : 20 9.60/9.87 # Proof object initial formulas used : 20 9.60/9.87 # Proof object generating inferences : 18 9.60/9.87 # Proof object simplifying inferences : 23 9.60/9.87 # Training examples: 0 positive, 0 negative 9.60/9.87 # Parsed axioms : 5226 9.60/9.87 # Removed by relevancy pruning/SinE : 0 9.60/9.87 # Initial clauses : 7586 9.60/9.87 # Removed in clause preprocessing : 238 9.60/9.87 # Initial clauses in saturation : 7348 9.60/9.87 # Processed clauses : 24027 9.60/9.87 # ...of these trivial : 419 9.60/9.87 # ...subsumed : 10031 9.60/9.87 # ...remaining for further processing : 13577 9.60/9.87 # Other redundant clauses eliminated : 312 9.60/9.87 # Clauses deleted for lack of memory : 0 9.60/9.87 # Backward-subsumed : 370 9.60/9.87 # Backward-rewritten : 462 9.60/9.87 # Generated clauses : 228384 9.60/9.87 # ...of the previous two non-trivial : 219662 9.60/9.87 # Contextual simplify-reflections : 2127 9.60/9.87 # Paramodulations : 227856 9.60/9.87 # Factorizations : 2 9.60/9.87 # Equation resolutions : 522 9.60/9.87 # Propositional unsat checks : 0 9.60/9.87 # Propositional check models : 0 9.60/9.87 # Propositional check unsatisfiable : 0 9.60/9.87 # Propositional clauses : 0 9.60/9.87 # Propositional clauses after purity: 0 9.60/9.87 # Propositional unsat core size : 0 9.60/9.87 # Current number of processed clauses : 6619 9.60/9.87 # Positive orientable unit clauses : 1502 9.60/9.87 # Positive unorientable unit clauses: 124 9.60/9.87 # Negative unit clauses : 428 9.60/9.87 # Non-unit-clauses : 4565 9.60/9.87 # Current number of unprocessed clauses: 171564 9.60/9.87 # ...number of literals in the above : 389152 9.60/9.87 # Current number of archived formulas : 0 9.60/9.87 # Current number of archived clauses : 6907 9.60/9.87 # Clause-clause subsumption calls (NU) : 13302870 9.60/9.87 # Rec. Clause-clause subsumption calls : 3971884 9.60/9.87 # Non-unit clause-clause subsumptions : 10523 9.60/9.87 # Unit Clause-clause subsumption calls : 130236 9.60/9.87 # Rewrite failures with RHS unbound : 314 9.60/9.87 # BW rewrite match attempts : 36180 9.60/9.87 # BW rewrite match successes : 1450 9.60/9.87 # Condensation attempts : 0 9.60/9.87 # Condensation successes : 0 9.60/9.87 # Termbank termtop insertions : 6923592 9.69/9.89 9.69/9.89 # ------------------------------------------------- 9.69/9.89 # User time : 9.459 s 9.69/9.89 # System time : 0.193 s 9.69/9.89 # Total time : 9.652 s 9.69/9.89 # Maximum resident set size: 10860 pages 9.69/9.89 EOF