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 0.03/0.24 % Computer : n014.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 06:14:25 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 4.91/5.11 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0Y 4.91/5.11 # and selection function SelectMaxLComplexAvoidPosPred. 4.91/5.11 # 4.91/5.11 # Preprocessing time : 1.129 s 4.91/5.11 # Presaturation interreduction done 4.91/5.11 4.91/5.11 # Proof found! 4.91/5.11 # SZS status Theorem 4.91/5.11 # SZS output start CNFRefutation 4.91/5.11 fof(fact_empty__def, axiom, ![X7]:hAPP(c_Set_OCollect(X7),hAPP(c_COMBK(tc_HOL_Obool,X7),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty__def)). 4.91/5.11 fof(fact_Collect__def, axiom, ![X17, X7]:hAPP(c_Set_OCollect(X7),X17)=X17, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__def)). 4.91/5.11 fof(fact_Collect__neg__eq, axiom, ![X17, X7]:hAPP(c_Set_OCollect(X7),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7),c_fNot),X17))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__neg__eq)). 4.91/5.11 fof(fact_Collect__empty__eq, axiom, ![X17, X7]:(![X33]:~(hBOOL(hAPP(X17,X33)))<=>c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))=hAPP(c_Set_OCollect(X7),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__empty__eq)). 4.91/5.11 fof(help_c__COMBK__1, axiom, ![X239, X240, X7, X24]:X240=hAPP(hAPP(c_COMBK(X24,X7),X240),X239), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBK__1)). 4.91/5.11 fof(fact_double__complement, axiom, ![X4, X7]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),X4))=X4, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__complement)). 4.91/5.11 fof(fact_UNIV__def, axiom, ![X7]:c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool))=hAPP(c_Set_OCollect(X7),hAPP(c_COMBK(tc_HOL_Obool,X7),c_fTrue)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_UNIV__def)). 4.91/5.11 fof(help_c__COMBB__1, axiom, ![X56, X14, X17, X72, X7, X32]:hAPP(hAPP(hAPP(c_COMBB(X32,X7,X72),X17),X14),X56)=hAPP(X17,hAPP(X14,X56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBB__1)). 4.91/5.11 fof(fact_nat__rec__0, axiom, ![X104, X105, X7]:hAPP(c_Nat_Onat_Onat__rec(X7,X105,X104),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X105, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__rec__0)). 4.91/5.11 fof(fact_nat__0, 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_nat__0)). 4.91/5.11 fof(fact_Pls__def, axiom, c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Int_OPls, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Pls__def)). 4.91/5.11 fof(help_c__fNot__1, axiom, ![X17]:(~(hBOOL(X17))|~(hBOOL(hAPP(c_fNot,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fNot__1)). 4.91/5.11 fof(fact_Compl__empty__eq, axiom, ![X7]:c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Compl__empty__eq)). 4.91/5.11 fof(fact_com_Osimps_I17_J, axiom, ![X93, X94]:c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(X94,X93), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_com_Osimps_I17_J)). 4.91/5.11 fof(fact_nat_Osimps_I2_J, axiom, ![X276]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X276), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osimps_I2_J)). 4.91/5.11 fof(fact_com_Osimps_I5_J, axiom, ![X93, X94, X111, X91]:(c_Com_Ocom_OWhile(X91,X111)=c_Com_Ocom_OWhile(X94,X93)<=>(X91=X94&X93=X111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_com_Osimps_I5_J)). 4.91/5.11 fof(fact_add__0__iff, axiom, ![X25, X74, X7]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X7)=>(c_Groups_Ozero__class_Ozero(X7)=X25<=>hAPP(hAPP(c_Groups_Oplus__class_Oplus(X7),X74),X25)=X74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__0__iff)). 4.91/5.11 fof(fact_add__Suc__right, axiom, ![X43, X44]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X44),hAPP(c_Nat_OSuc,X43))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X44),X43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__right)). 4.91/5.11 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)). 4.91/5.11 fof(fact_com_Osimps_I29_J, axiom, ![X91, X92, X93, X94]:c_Com_Ocom_OAss(X92,X91)!=c_Com_Ocom_OWhile(X94,X93), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_com_Osimps_I29_J)). 4.91/5.11 fof(fact_com_Osimps_I8_J, axiom, ![X94, X267]:c_Com_Ocom_OAss(X267,X94)!=c_Com_Ocom_OSKIP, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_com_Osimps_I8_J)). 4.91/5.11 fof(c_0_21, plain, ![X6314]:hAPP(c_Set_OCollect(X6314),hAPP(c_COMBK(tc_HOL_Obool,X6314),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X6314,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_empty__def])). 4.91/5.11 fof(c_0_22, plain, ![X9668, X9669]:hAPP(c_Set_OCollect(X9669),X9668)=X9668, inference(variable_rename,[status(thm)],[fact_Collect__def])). 4.91/5.11 fof(c_0_23, plain, ![X7551, X7552]:hAPP(c_Set_OCollect(X7552),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X7552),c_fNot),X7551))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7552,tc_HOL_Obool)),hAPP(c_Set_OCollect(X7552),X7551)), inference(variable_rename,[status(thm)],[fact_Collect__neg__eq])). 4.91/5.11 fof(c_0_24, plain, ![X2253, X2254, X2253, X2254, X2256]:((hBOOL(hAPP(X2253,esk66_1(X2253)))|c_Orderings_Obot__class_Obot(tc_fun(X2254,tc_HOL_Obool))=hAPP(c_Set_OCollect(X2254),X2253))&(c_Orderings_Obot__class_Obot(tc_fun(X2254,tc_HOL_Obool))!=hAPP(c_Set_OCollect(X2254),X2253)|~hBOOL(hAPP(X2253,X2256)))), 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])])])])])])])). 4.91/5.11 fof(c_0_25, plain, ![X7782, X7783, X7784, X7785]:X7783=hAPP(hAPP(c_COMBK(X7785,X7784),X7783),X7782), inference(variable_rename,[status(thm)],[help_c__COMBK__1])). 4.91/5.11 cnf(c_0_26, 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_21])). 4.91/5.11 cnf(c_0_27, plain, (hAPP(c_Set_OCollect(X1),X2)=X2), inference(split_conjunct,[status(thm)],[c_0_22])). 4.91/5.11 fof(c_0_28, plain, ![X8286, X8287]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8287,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8287,tc_HOL_Obool)),X8286))=X8286, inference(variable_rename,[status(thm)],[fact_double__complement])). 4.91/5.11 cnf(c_0_29, 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_23])). 4.91/5.11 cnf(c_0_30, plain, (hBOOL(hAPP(X1,esk66_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_24])). 4.91/5.11 cnf(c_0_31, plain, (X1=hAPP(hAPP(c_COMBK(X2,X3),X1),X4)), inference(split_conjunct,[status(thm)],[c_0_25])). 4.91/5.11 cnf(c_0_32, 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_26, c_0_27])). 4.91/5.11 fof(c_0_33, plain, ![X13932]:c_Orderings_Otop__class_Otop(tc_fun(X13932,tc_HOL_Obool))=hAPP(c_Set_OCollect(X13932),hAPP(c_COMBK(tc_HOL_Obool,X13932),c_fTrue)), inference(variable_rename,[status(thm)],[fact_UNIV__def])). 4.91/5.11 fof(c_0_34, plain, ![X15101, X15102, X15103, X15104, X15105, X15106]:hAPP(hAPP(hAPP(c_COMBB(X15106,X15105,X15104),X15103),X15102),X15101)=hAPP(X15103,hAPP(X15102,X15101)), inference(variable_rename,[status(thm)],[help_c__COMBB__1])). 4.91/5.11 cnf(c_0_35, 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_28])). 4.91/5.11 cnf(c_0_36, 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_29, c_0_27]), c_0_27])). 4.91/5.11 fof(c_0_37, plain, ![X16857, X16858, X16859]:hAPP(c_Nat_Onat_Onat__rec(X16859,X16858,X16857),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X16858, inference(variable_rename,[status(thm)],[fact_nat__rec__0])). 4.91/5.11 cnf(c_0_38, 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_nat__0])). 4.91/5.11 cnf(c_0_39, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Int_OPls), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 4.91/5.11 fof(c_0_40, plain, ![X5674]:(~hBOOL(X5674)|~hBOOL(hAPP(c_fNot,X5674))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])])). 4.91/5.11 cnf(c_0_41, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk66_1(X1)))), inference(rw,[status(thm)],[c_0_30, c_0_27])). 4.91/5.11 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_31, c_0_32])). 4.91/5.11 fof(c_0_43, plain, ![X7786]:c_Orderings_Otop__class_Otop(tc_fun(X7786,tc_HOL_Obool))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7786,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X7786,tc_HOL_Obool))), inference(variable_rename,[status(thm)],[fact_Compl__empty__eq])). 4.91/5.11 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_33])). 4.91/5.11 cnf(c_0_45, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6))), inference(split_conjunct,[status(thm)],[c_0_34])). 4.91/5.11 cnf(c_0_46, 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_35, c_0_36]), c_0_36])). 4.91/5.11 cnf(c_0_47, 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_37])). 4.91/5.11 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_38, c_0_39])). 4.91/5.11 cnf(c_0_49, plain, (~hBOOL(X1)|~hBOOL(hAPP(c_fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_40])). 4.91/5.11 cnf(c_0_50, plain, (c_fFalse=X1|hBOOL(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_41]), c_0_42]), c_0_31])). 4.91/5.11 cnf(c_0_51, 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])). 4.91/5.11 cnf(c_0_52, 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_27])). 4.91/5.11 cnf(c_0_53, plain, (hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2)))=hAPP(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_45])). 4.91/5.11 cnf(c_0_54, plain, (hAPP(c_Nat_Onat_Onat__rec(X1,X2,X3),hAPP(c_Int_Onat,c_Int_OPls))=X2), inference(rw,[status(thm)],[c_0_47, c_0_48])). 4.91/5.11 cnf(c_0_55, plain, (hAPP(c_fNot,X1)=c_fFalse|~hBOOL(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])). 4.91/5.11 cnf(c_0_56, 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_51, c_0_36])). 4.91/5.11 cnf(c_0_57, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_fTrue), inference(spm,[status(thm)],[c_0_31, c_0_52])). 4.91/5.11 fof(c_0_58, plain, ![X6947, X6948]:c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(X6948,X6947), inference(variable_rename,[status(thm)],[fact_com_Osimps_I17_J])). 4.91/5.11 cnf(c_0_59, plain, (hAPP(c_fNot,hAPP(c_fNot,X1))=X1), inference(spm,[status(thm)],[c_0_53, c_0_54])). 4.91/5.11 cnf(c_0_60, plain, (hAPP(c_fNot,X1)=c_fFalse|c_fFalse=X1), inference(spm,[status(thm)],[c_0_55, c_0_50])). 4.91/5.11 cnf(c_0_61, plain, (hAPP(c_fNot,c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_56]), c_0_57]), c_0_42])). 4.91/5.11 fof(c_0_62, plain, ![X12743]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X12743), inference(variable_rename,[status(thm)],[fact_nat_Osimps_I2_J])). 4.91/5.11 fof(c_0_63, plain, ![X13660, X13661, X13662, X13663, X13660, X13661, X13662, X13663]:(((X13663=X13661|c_Com_Ocom_OWhile(X13663,X13662)!=c_Com_Ocom_OWhile(X13661,X13660))&(X13660=X13662|c_Com_Ocom_OWhile(X13663,X13662)!=c_Com_Ocom_OWhile(X13661,X13660)))&(X13663!=X13661|X13660!=X13662|c_Com_Ocom_OWhile(X13663,X13662)=c_Com_Ocom_OWhile(X13661,X13660))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com_Osimps_I5_J])])])])])). 4.91/5.11 cnf(c_0_64, plain, (c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_58])). 4.91/5.11 cnf(c_0_65, plain, (c_fFalse=X1|c_fTrue=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])). 4.91/5.11 fof(c_0_66, plain, ![X15673, X15674, X15675]:((c_Groups_Ozero__class_Ozero(X15675)!=X15673|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X15675),X15674),X15673)=X15674|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X15675))&(hAPP(hAPP(c_Groups_Oplus__class_Oplus(X15675),X15674),X15673)!=X15674|c_Groups_Ozero__class_Ozero(X15675)=X15673|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X15675))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])])). 4.91/5.11 fof(c_0_67, plain, ![X15055, X15056]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X15056),hAPP(c_Nat_OSuc,X15055))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X15056),X15055)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])). 4.91/5.11 cnf(c_0_68, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_62])). 4.91/5.11 cnf(c_0_69, plain, (X1=X2|c_Com_Ocom_OWhile(X3,X2)!=c_Com_Ocom_OWhile(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_63])). 4.91/5.11 cnf(c_0_70, plain, (c_Com_Ocom_OWhile(X1,X2)=c_fFalse|c_fTrue!=c_Com_Ocom_OSKIP), inference(spm,[status(thm)],[c_0_64, c_0_65])). 4.91/5.11 cnf(c_0_71, plain, (c_Groups_Ozero__class_Ozero(X1)=X3|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)!=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)), inference(split_conjunct,[status(thm)],[c_0_66])). 4.91/5.11 cnf(c_0_72, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))), inference(split_conjunct,[status(thm)],[c_0_67])). 4.91/5.11 cnf(c_0_73, 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])). 4.91/5.11 cnf(c_0_74, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_68, c_0_48])). 4.91/5.11 cnf(c_0_75, plain, (X1=X2|c_fTrue!=c_Com_Ocom_OSKIP), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_70])). 4.91/5.11 fof(c_0_76, plain, ![X8333, X8334, X8335, X8336]:c_Com_Ocom_OAss(X8334,X8333)!=c_Com_Ocom_OWhile(X8336,X8335), inference(variable_rename,[status(thm)],[fact_com_Osimps_I29_J])). 4.91/5.11 cnf(c_0_77, 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_71, c_0_72]), c_0_48]), c_0_73])]), c_0_74])). 4.91/5.11 cnf(c_0_78, plain, (c_fFalse=X1|X2=X3|X1!=c_Com_Ocom_OSKIP), inference(spm,[status(thm)],[c_0_75, c_0_65])). 4.91/5.11 cnf(c_0_79, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OWhile(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_76])). 4.91/5.11 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_77, c_0_72])). 4.91/5.11 cnf(c_0_81, plain, (c_fFalse=c_Com_Ocom_OSKIP|X1=X2), inference(er,[status(thm)],[c_0_78])). 4.91/5.11 fof(c_0_82, plain, ![X15426, X15427]:c_Com_Ocom_OAss(X15427,X15426)!=c_Com_Ocom_OSKIP, inference(variable_rename,[status(thm)],[fact_com_Osimps_I8_J])). 4.91/5.11 cnf(c_0_83, plain, (c_Com_Ocom_OAss(X1,X2)=c_fFalse|c_Com_Ocom_OWhile(X3,X4)!=c_fTrue), inference(spm,[status(thm)],[c_0_79, c_0_65])). 4.91/5.11 cnf(c_0_84, plain, (c_fFalse=c_Com_Ocom_OSKIP), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81])])). 4.91/5.11 cnf(c_0_85, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSKIP), inference(split_conjunct,[status(thm)],[c_0_82])). 4.91/5.11 cnf(c_0_86, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_fTrue), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84]), c_0_85])). 4.91/5.11 cnf(c_0_87, plain, (c_fTrue=X1|c_Com_Ocom_OSKIP=X1), inference(rw,[status(thm)],[c_0_65, c_0_84])). 4.91/5.11 cnf(c_0_88, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_64]), ['proof']). 4.91/5.11 # SZS output end CNFRefutation 4.91/5.11 # Proof object total steps : 89 4.91/5.11 # Proof object clause steps : 50 4.91/5.11 # Proof object formula steps : 39 4.91/5.11 # Proof object conjectures : 0 4.91/5.11 # Proof object clause conjectures : 0 4.91/5.11 # Proof object formula conjectures : 0 4.91/5.11 # Proof object initial clauses used : 21 4.91/5.11 # Proof object initial formulas used : 21 4.91/5.11 # Proof object generating inferences : 18 4.91/5.11 # Proof object simplifying inferences : 27 4.91/5.11 # Training examples: 0 positive, 0 negative 4.91/5.11 # Parsed axioms : 5242 4.91/5.11 # Removed by relevancy pruning/SinE : 0 4.91/5.11 # Initial clauses : 7512 4.91/5.11 # Removed in clause preprocessing : 223 4.91/5.11 # Initial clauses in saturation : 7289 4.91/5.11 # Processed clauses : 15115 4.91/5.11 # ...of these trivial : 337 4.91/5.11 # ...subsumed : 4652 4.91/5.11 # ...remaining for further processing : 10126 4.91/5.11 # Other redundant clauses eliminated : 208 4.91/5.11 # Clauses deleted for lack of memory : 0 4.91/5.11 # Backward-subsumed : 151 4.91/5.11 # Backward-rewritten : 1993 4.91/5.11 # Generated clauses : 86372 4.91/5.11 # ...of the previous two non-trivial : 78932 4.91/5.11 # Contextual simplify-reflections : 1077 4.91/5.11 # Paramodulations : 86093 4.91/5.11 # Factorizations : 12 4.91/5.11 # Equation resolutions : 273 4.91/5.11 # Propositional unsat checks : 0 4.91/5.11 # Propositional check models : 0 4.91/5.11 # Propositional check unsatisfiable : 0 4.91/5.11 # Propositional clauses : 0 4.91/5.11 # Propositional clauses after purity: 0 4.91/5.11 # Propositional unsat core size : 0 4.91/5.11 # Current number of processed clauses : 1878 4.91/5.11 # Positive orientable unit clauses : 1193 4.91/5.11 # Positive unorientable unit clauses: 1 4.91/5.11 # Negative unit clauses : 143 4.91/5.11 # Non-unit-clauses : 541 4.91/5.11 # Current number of unprocessed clauses: 23463 4.91/5.11 # ...number of literals in the above : 44758 4.91/5.11 # Current number of archived formulas : 0 4.91/5.11 # Current number of archived clauses : 8193 4.91/5.11 # Clause-clause subsumption calls (NU) : 7011467 4.91/5.11 # Rec. Clause-clause subsumption calls : 2681912 4.91/5.11 # Non-unit clause-clause subsumptions : 5164 4.91/5.11 # Unit Clause-clause subsumption calls : 69237 4.91/5.11 # Rewrite failures with RHS unbound : 147 4.91/5.11 # BW rewrite match attempts : 32087 4.91/5.11 # BW rewrite match successes : 646 4.91/5.11 # Condensation attempts : 0 4.91/5.11 # Condensation successes : 0 4.91/5.11 # Termbank termtop insertions : 2195776 4.91/5.12 4.91/5.12 # ------------------------------------------------- 4.91/5.12 # User time : 4.786 s 4.91/5.12 # System time : 0.099 s 4.91/5.12 # Total time : 4.885 s 4.91/5.12 # Maximum resident set size: 10880 pages 4.91/5.12 EOF