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 : n023.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 06:14:09 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.24 # Version: 2.2pre001 0.06/0.39 # No SInE strategy applied 0.06/0.39 # Trying AutoSched0 for 151 seconds 5.03/5.24 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0Y 5.03/5.24 # and selection function SelectMaxLComplexAvoidPosPred. 5.03/5.24 # 5.03/5.24 # Preprocessing time : 1.164 s 5.03/5.24 # Presaturation interreduction done 5.03/5.24 5.03/5.24 # Proof found! 5.03/5.24 # SZS status Theorem 5.03/5.24 # SZS output start CNFRefutation 5.03/5.24 fof(fact_empty__def, axiom, ![X8]:hAPP(c_Set_OCollect(X8),hAPP(c_COMBK(tc_HOL_Obool,X8),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_empty__def)). 5.03/5.24 fof(fact_Collect__def, axiom, ![X3, X8]:X3=hAPP(c_Set_OCollect(X8),X3), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__def)). 5.03/5.24 fof(help_c__COMBK__1, axiom, ![X261, X254, X24, X8]:X254=hAPP(hAPP(c_COMBK(X8,X24),X254),X261), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBK__1)). 5.03/5.24 fof(fact_Collect__neg__eq, axiom, ![X3, X8]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),hAPP(c_Set_OCollect(X8),X3))=hAPP(c_Set_OCollect(X8),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X8),c_fNot),X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__neg__eq)). 5.03/5.24 fof(fact_Collect__empty__eq, axiom, ![X3, X8]:(![X13]:~(hBOOL(hAPP(X3,X13)))<=>hAPP(c_Set_OCollect(X8),X3)=c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Collect__empty__eq)). 5.03/5.24 fof(fact_UNIV__def, axiom, ![X8]:hAPP(c_Set_OCollect(X8),hAPP(c_COMBK(tc_HOL_Obool,X8),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X8,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_UNIV__def)). 5.03/5.24 fof(fact_compl__bot__eq, axiom, ![X8]:(class_Lattices_Oboolean__algebra(X8)=>c_Orderings_Otop__class_Otop(X8)=hAPP(c_Groups_Ouminus__class_Ouminus(X8),c_Orderings_Obot__class_Obot(X8))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_compl__bot__eq)). 5.03/5.24 fof(fact_bot__apply, axiom, ![X7, X24, X8]:(class_Orderings_Obot(X8)=>c_Orderings_Obot__class_Obot(X8)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(X24,X8)),X7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_bot__apply)). 5.03/5.24 fof(fact_double__complement, axiom, ![X10, X8]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),X10))=X10, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__complement)). 5.03/5.24 fof(arity_HOL__Obool__Lattices_Oboolean__algebra, axiom, class_Lattices_Oboolean__algebra(tc_HOL_Obool), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_HOL__Obool__Lattices_Oboolean__algebra)). 5.03/5.24 fof(arity_HOL__Obool__Orderings_Obot, axiom, class_Orderings_Obot(tc_HOL_Obool), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_HOL__Obool__Orderings_Obot)). 5.03/5.24 fof(fact_Compl__UNIV__eq, axiom, ![X8]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X8,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Compl__UNIV__eq)). 5.03/5.24 fof(fact_add__eq__self__zero, axiom, ![X19, X40]:(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X40),X19)=X40=>X19=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__eq__self__zero)). 5.03/5.24 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)). 5.03/5.24 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)). 5.03/5.24 fof(fact_nat_Osimps_I3_J, axiom, ![X214]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X214), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osimps_I3_J)). 5.03/5.24 fof(help_c__COMBB__1, axiom, ![X72, X43, X3, X25, X8, X24]:hAPP(X3,hAPP(X43,X72))=hAPP(hAPP(hAPP(c_COMBB(X24,X8,X25),X3),X43),X72), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__COMBB__1)). 5.03/5.24 fof(help_c__fNot__1, axiom, ![X3]:(~(hBOOL(X3))|~(hBOOL(hAPP(c_fNot,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fNot__1)). 5.03/5.24 fof(fact_top__apply, axiom, ![X7, X24, X8]:(class_Orderings_Otop(X8)=>hAPP(c_Orderings_Otop__class_Otop(tc_fun(X24,X8)),X7)=c_Orderings_Otop__class_Otop(X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_top__apply)). 5.03/5.24 fof(fact_add__Suc__right, axiom, ![X19, X40]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X40),X19))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X40),hAPP(c_Nat_OSuc,X19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__right)). 5.03/5.24 fof(fact_option_Osimps_I4_J, axiom, ![X76, X77, X24, X8]:X77=hAPP(c_Option_Ooption_Ooption__case(X8,X24,X77,X76),c_Option_Ooption_ONone(X24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_option_Osimps_I4_J)). 5.03/5.24 fof(arity_HOL__Obool__Orderings_Otop, axiom, class_Orderings_Otop(tc_HOL_Obool), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_HOL__Obool__Orderings_Otop)). 5.03/5.24 fof(fact_Nat_Oadd__0__right, axiom, ![X40]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X40),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X40, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)). 5.03/5.24 fof(fact_Suc__n__not__n, axiom, ![X19]:X19!=hAPP(c_Nat_OSuc,X19), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__n__not__n)). 5.03/5.24 fof(c_0_24, plain, ![X5988]:hAPP(c_Set_OCollect(X5988),hAPP(c_COMBK(tc_HOL_Obool,X5988),c_fFalse))=c_Orderings_Obot__class_Obot(tc_fun(X5988,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_empty__def])). 5.03/5.24 fof(c_0_25, plain, ![X3121, X3122]:X3121=hAPP(c_Set_OCollect(X3122),X3121), inference(variable_rename,[status(thm)],[fact_Collect__def])). 5.03/5.24 fof(c_0_26, plain, ![X9197, X9198, X9199, X9200]:X9198=hAPP(hAPP(c_COMBK(X9200,X9199),X9198),X9197), inference(variable_rename,[status(thm)],[help_c__COMBK__1])). 5.03/5.24 cnf(c_0_27, 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_24])). 5.03/5.24 cnf(c_0_28, plain, (X1=hAPP(c_Set_OCollect(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_25])). 5.03/5.24 fof(c_0_29, plain, ![X12172, X12173]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X12173,tc_HOL_Obool)),hAPP(c_Set_OCollect(X12173),X12172))=hAPP(c_Set_OCollect(X12173),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X12173),c_fNot),X12172)), inference(variable_rename,[status(thm)],[fact_Collect__neg__eq])). 5.03/5.24 fof(c_0_30, plain, ![X370, X371, X370, X371, X373]:((hBOOL(hAPP(X370,esk4_1(X370)))|hAPP(c_Set_OCollect(X371),X370)=c_Orderings_Obot__class_Obot(tc_fun(X371,tc_HOL_Obool)))&(hAPP(c_Set_OCollect(X371),X370)!=c_Orderings_Obot__class_Obot(tc_fun(X371,tc_HOL_Obool))|~hBOOL(hAPP(X370,X373)))), 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])])])])])])])). 5.03/5.24 fof(c_0_31, plain, ![X5399]:hAPP(c_Set_OCollect(X5399),hAPP(c_COMBK(tc_HOL_Obool,X5399),c_fTrue))=c_Orderings_Otop__class_Otop(tc_fun(X5399,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_UNIV__def])). 5.03/5.24 fof(c_0_32, plain, ![X11005]:(~class_Lattices_Oboolean__algebra(X11005)|c_Orderings_Otop__class_Otop(X11005)=hAPP(c_Groups_Ouminus__class_Ouminus(X11005),c_Orderings_Obot__class_Obot(X11005))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_compl__bot__eq])])). 5.03/5.24 fof(c_0_33, plain, ![X1130, X1131, X1132]:(~class_Orderings_Obot(X1132)|c_Orderings_Obot__class_Obot(X1132)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1131,X1132)),X1130)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__apply])])). 5.03/5.24 cnf(c_0_34, plain, (X1=hAPP(hAPP(c_COMBK(X2,X3),X1),X4)), inference(split_conjunct,[status(thm)],[c_0_26])). 5.03/5.24 cnf(c_0_35, 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_27, c_0_28])). 5.03/5.24 fof(c_0_36, plain, ![X10915, X10916]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X10916,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X10916,tc_HOL_Obool)),X10915))=X10915, inference(variable_rename,[status(thm)],[fact_double__complement])). 5.03/5.24 cnf(c_0_37, 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_29])). 5.03/5.24 cnf(c_0_38, plain, (hBOOL(hAPP(X1,esk4_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_30])). 5.03/5.24 cnf(c_0_39, 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_31])). 5.03/5.24 cnf(c_0_40, plain, (c_Orderings_Otop__class_Otop(X1)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1))|~class_Lattices_Oboolean__algebra(X1)), inference(split_conjunct,[status(thm)],[c_0_32])). 5.03/5.24 cnf(c_0_41, plain, (class_Lattices_Oboolean__algebra(tc_HOL_Obool)), inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Oboolean__algebra])). 5.03/5.24 cnf(c_0_42, plain, (c_Orderings_Obot__class_Obot(X1)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,X1)),X3)|~class_Orderings_Obot(X1)), inference(split_conjunct,[status(thm)],[c_0_33])). 5.03/5.24 cnf(c_0_43, plain, (class_Orderings_Obot(tc_HOL_Obool)), inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Obot])). 5.03/5.24 cnf(c_0_44, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_fFalse), inference(spm,[status(thm)],[c_0_34, c_0_35])). 5.03/5.24 fof(c_0_45, plain, ![X8195]:hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8195,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X8195,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X8195,tc_HOL_Obool)), inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq])). 5.03/5.24 fof(c_0_46, plain, ![X7954, X7955]:(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X7955),X7954)!=X7955|X7954=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])])])])). 5.03/5.24 cnf(c_0_47, 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])). 5.03/5.24 cnf(c_0_48, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Int_OPls), inference(split_conjunct,[status(thm)],[fact_Pls__def])). 5.03/5.24 fof(c_0_49, plain, ![X4719]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X4719), inference(variable_rename,[status(thm)],[fact_nat_Osimps_I3_J])). 5.03/5.24 fof(c_0_50, plain, ![X12417, X12418, X12419, X12420, X12421, X12422]:hAPP(X12419,hAPP(X12418,X12417))=hAPP(hAPP(hAPP(c_COMBB(X12422,X12421,X12420),X12419),X12418),X12417), inference(variable_rename,[status(thm)],[help_c__COMBB__1])). 5.03/5.24 cnf(c_0_51, 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_36])). 5.03/5.24 cnf(c_0_52, 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_37, c_0_28]), c_0_28])). 5.03/5.24 fof(c_0_53, plain, ![X6670]:(~hBOOL(X6670)|~hBOOL(hAPP(c_fNot,X6670))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])])). 5.03/5.24 cnf(c_0_54, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|hBOOL(hAPP(X1,esk4_1(X1)))), inference(rw,[status(thm)],[c_0_38, c_0_28])). 5.03/5.24 fof(c_0_55, plain, ![X9521, X9522, X9523]:(~class_Orderings_Otop(X9523)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(X9522,X9523)),X9521)=c_Orderings_Otop__class_Otop(X9523)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_top__apply])])). 5.03/5.24 cnf(c_0_56, 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_39, c_0_28])). 5.03/5.24 cnf(c_0_57, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool))=c_Orderings_Otop__class_Otop(tc_HOL_Obool)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 5.03/5.24 cnf(c_0_58, plain, (c_Orderings_Obot__class_Obot(tc_HOL_Obool)=c_fFalse), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])). 5.03/5.24 cnf(c_0_59, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(split_conjunct,[status(thm)],[c_0_45])). 5.03/5.24 cnf(c_0_60, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=X1), inference(split_conjunct,[status(thm)],[c_0_46])). 5.03/5.24 cnf(c_0_61, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Int_OPls)), inference(rw,[status(thm)],[c_0_47, c_0_48])). 5.03/5.24 fof(c_0_62, plain, ![X6360, X6361]:hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X6361),X6360))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X6361),hAPP(c_Nat_OSuc,X6360)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])). 5.03/5.24 cnf(c_0_63, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_49])). 5.03/5.24 cnf(c_0_64, plain, (hAPP(X1,hAPP(X2,X3))=hAPP(hAPP(hAPP(c_COMBB(X4,X5,X6),X1),X2),X3)), inference(split_conjunct,[status(thm)],[c_0_50])). 5.03/5.24 cnf(c_0_65, 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_51, c_0_52]), c_0_52])). 5.03/5.24 fof(c_0_66, plain, ![X13071, X13072, X13073, X13074]:X13072=hAPP(c_Option_Ooption_Ooption__case(X13074,X13073,X13072,X13071),c_Option_Ooption_ONone(X13073)), inference(variable_rename,[status(thm)],[fact_option_Osimps_I4_J])). 5.03/5.24 cnf(c_0_67, plain, (~hBOOL(X1)|~hBOOL(hAPP(c_fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_53])). 5.03/5.24 cnf(c_0_68, plain, (c_fFalse=X1|hBOOL(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_54]), c_0_44]), c_0_34])). 5.03/5.24 cnf(c_0_69, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,X1)),X3)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1)), inference(split_conjunct,[status(thm)],[c_0_55])). 5.03/5.24 cnf(c_0_70, plain, (class_Orderings_Otop(tc_HOL_Obool)), inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Otop])). 5.03/5.24 cnf(c_0_71, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_fTrue), inference(spm,[status(thm)],[c_0_34, c_0_56])). 5.03/5.24 cnf(c_0_72, plain, (c_Orderings_Otop__class_Otop(tc_HOL_Obool)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse)), inference(rw,[status(thm)],[c_0_57, c_0_58])). 5.03/5.24 cnf(c_0_73, plain, (hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))), inference(rw,[status(thm)],[c_0_59, c_0_52])). 5.03/5.24 cnf(c_0_74, 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_60, c_0_61])). 5.03/5.24 cnf(c_0_75, 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_62])). 5.03/5.24 cnf(c_0_76, plain, (hAPP(c_Int_Onat,c_Int_OPls)!=hAPP(c_Nat_OSuc,X1)), inference(rw,[status(thm)],[c_0_63, c_0_61])). 5.03/5.24 fof(c_0_77, plain, ![X9054]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X9054),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X9054, inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])). 5.03/5.24 cnf(c_0_78, plain, (hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2)))=hAPP(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_64])). 5.03/5.24 cnf(c_0_79, plain, (X1=hAPP(c_Option_Ooption_Ooption__case(X2,X3,X1,X4),c_Option_Ooption_ONone(X3))), inference(split_conjunct,[status(thm)],[c_0_66])). 5.03/5.24 cnf(c_0_80, plain, (hAPP(c_fNot,X1)=c_fFalse|~hBOOL(X1)), inference(spm,[status(thm)],[c_0_67, c_0_68])). 5.03/5.24 cnf(c_0_81, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71]), c_0_72])). 5.03/5.24 cnf(c_0_82, plain, (hAPP(c_fNot,c_fTrue)=c_fFalse), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_73]), c_0_44]), c_0_71])). 5.03/5.24 cnf(c_0_83, 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_74, c_0_75]), c_0_76])). 5.03/5.24 cnf(c_0_84, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[c_0_77])). 5.03/5.24 fof(c_0_85, plain, ![X15426]:X15426!=hAPP(c_Nat_OSuc,X15426), inference(variable_rename,[status(thm)],[fact_Suc__n__not__n])). 5.03/5.24 cnf(c_0_86, plain, (hAPP(c_fNot,hAPP(c_fNot,X1))=X1), inference(spm,[status(thm)],[c_0_78, c_0_79])). 5.03/5.24 cnf(c_0_87, plain, (hAPP(c_fNot,X1)=c_fFalse|c_fFalse=X1), inference(spm,[status(thm)],[c_0_80, c_0_68])). 5.03/5.24 cnf(c_0_88, plain, (hAPP(c_fNot,c_fFalse)=c_fTrue), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_81]), c_0_82])). 5.03/5.24 cnf(c_0_89, 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_83, c_0_75])). 5.03/5.24 cnf(c_0_90, 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_84, c_0_61])). 5.03/5.24 cnf(c_0_91, plain, (X1!=hAPP(c_Nat_OSuc,X1)), inference(split_conjunct,[status(thm)],[c_0_85])). 5.03/5.24 cnf(c_0_92, plain, (c_fFalse=X1|c_fTrue=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88])). 5.03/5.24 cnf(c_0_93, plain, (hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))!=X1), inference(spm,[status(thm)],[c_0_89, c_0_90])). 5.03/5.24 cnf(c_0_94, plain, (hAPP(c_Nat_OSuc,X1)=c_fFalse|c_fTrue!=X1), inference(spm,[status(thm)],[c_0_91, c_0_92])). 5.03/5.24 cnf(c_0_95, plain, (hAPP(c_Nat_OSuc,c_fFalse)!=X1|c_fTrue!=X1), inference(spm,[status(thm)],[c_0_93, c_0_94])). 5.03/5.24 cnf(c_0_96, plain, (c_fTrue!=X1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_92]), c_0_91])). 5.03/5.24 cnf(c_0_97, plain, ($false), inference(sr,[status(thm)],[c_0_71, c_0_96]), ['proof']). 5.03/5.24 # SZS output end CNFRefutation 5.03/5.24 # Proof object total steps : 98 5.03/5.24 # Proof object clause steps : 55 5.03/5.24 # Proof object formula steps : 43 5.03/5.24 # Proof object conjectures : 0 5.03/5.24 # Proof object clause conjectures : 0 5.03/5.24 # Proof object formula conjectures : 0 5.03/5.24 # Proof object initial clauses used : 24 5.03/5.24 # Proof object initial formulas used : 24 5.03/5.24 # Proof object generating inferences : 19 5.03/5.24 # Proof object simplifying inferences : 26 5.03/5.24 # Training examples: 0 positive, 0 negative 5.03/5.24 # Parsed axioms : 5250 5.03/5.24 # Removed by relevancy pruning/SinE : 0 5.03/5.24 # Initial clauses : 7547 5.03/5.24 # Removed in clause preprocessing : 229 5.03/5.24 # Initial clauses in saturation : 7318 5.03/5.24 # Processed clauses : 16261 5.03/5.24 # ...of these trivial : 310 5.03/5.24 # ...subsumed : 5202 5.03/5.24 # ...remaining for further processing : 10749 5.03/5.24 # Other redundant clauses eliminated : 114 5.03/5.24 # Clauses deleted for lack of memory : 0 5.03/5.24 # Backward-subsumed : 199 5.03/5.24 # Backward-rewritten : 335 5.03/5.24 # Generated clauses : 69662 5.03/5.24 # ...of the previous two non-trivial : 66230 5.03/5.24 # Contextual simplify-reflections : 1301 5.03/5.24 # Paramodulations : 69429 5.03/5.24 # Factorizations : 2 5.03/5.24 # Equation resolutions : 229 5.03/5.24 # Propositional unsat checks : 0 5.03/5.24 # Propositional check models : 0 5.03/5.24 # Propositional check unsatisfiable : 0 5.03/5.24 # Propositional clauses : 0 5.03/5.24 # Propositional clauses after purity: 0 5.03/5.24 # Propositional unsat core size : 0 5.03/5.24 # Current number of processed clauses : 4090 5.03/5.24 # Positive orientable unit clauses : 1325 5.03/5.24 # Positive unorientable unit clauses: 4 5.03/5.24 # Negative unit clauses : 179 5.03/5.24 # Non-unit-clauses : 2582 5.03/5.24 # Current number of unprocessed clauses: 44155 5.03/5.24 # ...number of literals in the above : 102611 5.03/5.24 # Current number of archived formulas : 0 5.03/5.24 # Current number of archived clauses : 6609 5.03/5.24 # Clause-clause subsumption calls (NU) : 6479966 5.03/5.24 # Rec. Clause-clause subsumption calls : 2567588 5.03/5.24 # Non-unit clause-clause subsumptions : 5768 5.03/5.24 # Unit Clause-clause subsumption calls : 71114 5.03/5.24 # Rewrite failures with RHS unbound : 257 5.03/5.24 # BW rewrite match attempts : 31877 5.03/5.24 # BW rewrite match successes : 634 5.03/5.24 # Condensation attempts : 0 5.03/5.24 # Condensation successes : 0 5.03/5.24 # Termbank termtop insertions : 2224971 5.03/5.25 5.03/5.25 # ------------------------------------------------- 5.03/5.25 # User time : 4.906 s 5.03/5.25 # System time : 0.107 s 5.03/5.25 # Total time : 5.013 s 5.03/5.25 # Maximum resident set size: 10864 pages 5.03/5.25 EOF