%------------------------------------------------------------------------------ % File : SPASS-SCL---0.1 % Problem : LCL779-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu May 7 07:28:23 PM UTC 2026 % Result : Unknown 0.44s 0.64s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : LCL779-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Thu May 7 12:39:47 EDT 2026 % 0.15/0.34 % CPUTime : % 0.15/0.35 SPASS-SCL-FOL version: % 0.19/0.44 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode] % 0.44/0.63 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.44/0.63 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.44/0.63 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.44/0.63 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.44/0.63 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.44/0.63 Execution normal ended with status: gaveup % 0.44/0.63 Execution resolution_1 ended with status: gaveup % 0.44/0.63 Execution resolution_2 ended with status: gaveup % 0.44/0.63 Execution resolution_3 ended with status: gaveup % 0.44/0.63 Execution lmodel_grow ended with status: gaveup % 0.44/0.63 No successful execution. % 0.44/0.63 % 0.44/0.63 Input Clauses: % 0.44/0.63 % 0.44/0.63 Predicates: class_Ring__and__Field_Oordered__semidom c_lessequals = c_HOL_Oord__class_Oless class_Power_Opower class_Ring__and__Field_Ocomm__semiring__1 c_Type_Otyping class_OrderedGroup_Opordered__cancel__ab__semigroup__add class_OrderedGroup_Opordered__comm__monoid__add class_OrderedGroup_Olordered__ab__group__add class_OrderedGroup_Opordered__ab__semigroup__add__imp__le class_OrderedGroup_Ocomm__monoid__add class_Orderings_Olinorder class_Orderings_Oorder class_OrderedGroup_Opordered__ab__group__add class_Orderings_Opreorder class_OrderedGroup_Opordered__ab__semigroup__add c_Groebner__Basis_Ogb__semiring class_OrderedGroup_Omonoid__mult class_Ring__and__Field_Osemiring__1 class_Ring__and__Field_Ozero__neq__one class_Ring__and__Field_Osemiring__0 c_Type_Otypings hBOOL c_List_Olistsp class_OrderedGroup_Omonoid__add c_ListOrder_Ostep1 class_OrderedGroup_Oab__group__add class_OrderedGroup_Oab__semigroup__add c_Wellfounded_Oaccp class_Nat_Osemiring__char__0 class_Ring__and__Field_Oidom class_Int_Onumber__ring class_OrderedGroup_Ocancel__ab__semigroup__add class_OrderedGroup_Ocancel__semigroup__add c_OrderedGroup_Omonoid__add class_Ring__and__Field_Ono__zero__divisors class_Ring__and__Field_Omult__zero class_Ring__and__Field_Oring__1__no__zero__divisors class_Ring__and__Field_Oordered__idom c_OrderedGroup_Osemigroup__add class_OrderedGroup_Osemigroup__add % 0.44/0.63 Fol Constants: tc_nat tc_Type_Otype c_Lambda_Osubst c_Lambda_Olift tc_Lambda_OdB c_Lambda_OdB_OApp c_InductTermi_OIT c_Lambda_Obeta t_a tc_String_Ochar v_r v_s v_ss v_i tc_bool % 0.44/0.63 Fol Functions: c_HOL_Ozero__class_Ozero c_Nat_Osemiring__1__class_Oof__nat c_Power_Opower__class_Opower c_HOL_Oone__class_Oone c_Type_Oshift hAPP c_HOL_Oplus__class_Oplus c_Lambda_OdB_OVar c_Orderings_Oord__class_Omax c_Lambda_OdB_OAbs c_Lambda_Oliftn c_Lambda_Osubstn c_COMBC c_List_Omap tc_fun c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 c_List_Ofoldl c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 c_ListApplication_Osko__ListApplication__Xlem__1__3 c_ListApplication_Osko__ListApplication__Xlem__1__4 c_ListApplication_Osko__ListApplication__Xlem__1__1 c_ListApplication_Osko__ListApplication__Xlem__1__2 v_sko__InductTermi__XIT__Xcases__4 v_sko__InductTermi__XIT__Xcases__5 v_sko__InductTermi__XIT__Xcases__6 v_sko__InductTermi__XIT__Xcases__3 v_sko__InductTermi__XIT__Xcases__1 c_List_Olist_OCons c_Transitive__Closure_Ortranclp c_List_Oappend c_List_Olist_ONil c_List_Olistsum c_Predicate_Oconversep c_List_Ofoldr c_Lambda_OdB_OdB__case c_List_Oreplicate v_sko__InductTermi__XIT__Xcases__2 c_fequal c_Lambda_OdB_OdB__rec c_Nat_Osize__class_Osize c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 c_Type_Osko__Type__Xvar__app__typesE__1__1 c_Type_Osko__Type__Xvar__app__types__1__1 c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 c_Lambda_OdB_OdB__size % 0.44/0.63 Problem Properties: % 0.44/0.63 This is a full first-order problem with equality. % 0.44/0.63 SZS status GaveUp % 0.44/0.63 SPASS beiseite: SPASS does currently not support non-BS equality problems. % 0.44/0.63 %------------------------------------------------------------------------------