TSTP Solution File: SWC289-1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWC289-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n002.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 : Wed Mar 6 09:23:17 EST 2024
% Result : Timeout 289.48s 289.64s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC289-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Mar 4 07:13:56 EST 2024
% 0.13/0.34 % CPUTime :
% 289.48/289.64 % SZS status Unsatisfiable for theBenchmark
% 289.48/289.64 % SZS output start Proof for theBenchmark
% 289.48/289.64
% 289.48/289.64 % Problem matrix:
% 289.48/289.64 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 289.48/289.64 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 289.48/289.64 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 289.48/289.64 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( skaf83(__eqx_0) = skaf83(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skaf82(__eqx_0) = skaf82(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skaf81(__eqx_0) = skaf81(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skaf80(__eqx_0) = skaf80(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skaf79(__eqx_0) = skaf79(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skaf78(__eqx_0) = skaf78(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skaf77(__eqx_0) = skaf77(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skaf76(__eqx_0) = skaf76(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skaf75(__eqx_0) = skaf75(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skaf74(__eqx_0) = skaf74(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skaf73(__eqx_0) = skaf73(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skaf72(__eqx_0) = skaf72(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skaf71(__eqx_0) = skaf71(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skaf70(__eqx_0) = skaf70(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skaf69(__eqx_0) = skaf69(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skaf68(__eqx_0) = skaf68(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skaf67(__eqx_0) = skaf67(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skaf66(__eqx_0) = skaf66(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skaf65(__eqx_0) = skaf65(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( skaf64(__eqx_0) = skaf64(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( skaf63(__eqx_0) = skaf63(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( skaf62(__eqx_0) = skaf62(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( skaf61(__eqx_0) = skaf61(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( skaf60(__eqx_0) = skaf60(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( skaf59(__eqx_0) = skaf59(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( skaf58(__eqx_0) = skaf58(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( skaf57(__eqx_0) = skaf57(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( skaf56(__eqx_0) = skaf56(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( skaf55(__eqx_0) = skaf55(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( skaf54(__eqx_0) = skaf54(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( skaf53(__eqx_0) = skaf53(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( skaf52(__eqx_0) = skaf52(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( skaf51(__eqx_0) = skaf51(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( skaf50(__eqx_0) = skaf50(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( skaf49(__eqx_0) = skaf49(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( skaf44(__eqx_0) = skaf44(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skaf48(__eqx_0, __eqx_1) = skaf48(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skaf47(__eqx_0, __eqx_1) = skaf47(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skaf46(__eqx_0, __eqx_1) = skaf46(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skaf45(__eqx_0, __eqx_1) = skaf45(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skaf43(__eqx_0, __eqx_1) = skaf43(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skaf42(__eqx_0, __eqx_1) = skaf42(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cons(__eqx_0, __eqx_1) = cons(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( app(__eqx_0, __eqx_1) = app(__eqy_0, __eqy_1)) )).
% 289.48/289.64 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( tl(__eqx_0) = tl(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( hd(__eqx_0) = hd(__eqy_0)) )).
% 289.48/289.64 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ~equalelemsP(__eqx_0) | equalelemsP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ~duplicatefreeP(__eqx_0) | duplicatefreeP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ~strictorderedP(__eqx_0) | strictorderedP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ~totalorderedP(__eqx_0) | totalorderedP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ~strictorderP(__eqx_0) | strictorderP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ~totalorderP(__eqx_0) | totalorderP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ~cyclefreeP(__eqx_0) | cyclefreeP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ~ssList(__eqx_0) | ssList(__eqy_0) )).
% 289.48/289.64 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ~ssItem(__eqx_0) | ssItem(__eqy_0) )).
% 289.48/289.64 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~singletonP(__eqx_0) | singletonP(__eqy_0) )).
% 289.48/289.64 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~geq(__eqx_0, __eqx_1) | geq(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~segmentP(__eqx_0, __eqx_1) | segmentP(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rearsegP(__eqx_0, __eqx_1) | rearsegP(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~frontsegP(__eqx_0, __eqx_1) | frontsegP(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~leq(__eqx_0, __eqx_1) | leq(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~lt(__eqx_0, __eqx_1) | lt(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~memberP(__eqx_0, __eqx_1) | memberP(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~neq(__eqx_0, __eqx_1) | neq(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~gt(__eqx_0, __eqx_1) | gt(__eqy_0, __eqy_1) )).
% 289.48/289.64 cnf(matrix-68, plain, ( equalelemsP(nil) )).
% 289.48/289.64 cnf(matrix-69, plain, ( duplicatefreeP(nil) )).
% 289.48/289.64 cnf(matrix-70, plain, ( strictorderedP(nil) )).
% 289.48/289.64 cnf(matrix-71, plain, ( totalorderedP(nil) )).
% 289.48/289.64 cnf(matrix-72, plain, ( strictorderP(nil) )).
% 289.48/289.64 cnf(matrix-73, plain, ( totalorderP(nil) )).
% 289.48/289.64 cnf(matrix-74, plain, ( cyclefreeP(nil) )).
% 289.48/289.64 cnf(matrix-75, plain, ( ssList(nil) )).
% 289.48/289.64 cnf(matrix-76, plain, ( ssItem(skac3) )).
% 289.48/289.64 cnf(matrix-77, plain, ( ssItem(skac2) )).
% 289.48/289.64 cnf(matrix-78, plain, ( ~singletonP(nil) )).
% 289.48/289.64 cnf(matrix-79, plain, ( ssItem(skaf83(U)) )).
% 289.48/289.64 cnf(matrix-80, plain, ( ssList(skaf82(U)) )).
% 289.48/289.64 cnf(matrix-81, plain, ( ssList(skaf81(U)) )).
% 289.48/289.64 cnf(matrix-82, plain, ( ssList(skaf80(U)) )).
% 289.48/289.64 cnf(matrix-83, plain, ( ssItem(skaf79(U)) )).
% 289.48/289.64 cnf(matrix-84, plain, ( ssItem(skaf78(U)) )).
% 289.48/289.64 cnf(matrix-85, plain, ( ssList(skaf77(U)) )).
% 289.48/289.64 cnf(matrix-86, plain, ( ssList(skaf76(U)) )).
% 289.48/289.64 cnf(matrix-87, plain, ( ssList(skaf75(U)) )).
% 289.48/289.64 cnf(matrix-88, plain, ( ssItem(skaf74(U)) )).
% 289.48/289.64 cnf(matrix-89, plain, ( ssList(skaf73(U)) )).
% 289.48/289.64 cnf(matrix-90, plain, ( ssList(skaf72(U)) )).
% 289.48/289.64 cnf(matrix-91, plain, ( ssList(skaf71(U)) )).
% 289.48/289.64 cnf(matrix-92, plain, ( ssItem(skaf70(U)) )).
% 289.48/289.64 cnf(matrix-93, plain, ( ssItem(skaf69(U)) )).
% 289.48/289.64 cnf(matrix-94, plain, ( ssList(skaf68(U)) )).
% 289.48/289.64 cnf(matrix-95, plain, ( ssList(skaf67(U)) )).
% 289.48/289.64 cnf(matrix-96, plain, ( ssList(skaf66(U)) )).
% 289.48/289.64 cnf(matrix-97, plain, ( ssItem(skaf65(U)) )).
% 289.48/289.64 cnf(matrix-98, plain, ( ssItem(skaf64(U)) )).
% 289.48/289.64 cnf(matrix-99, plain, ( ssList(skaf63(U)) )).
% 289.48/289.64 cnf(matrix-100, plain, ( ssList(skaf62(U)) )).
% 289.48/289.64 cnf(matrix-101, plain, ( ssList(skaf61(U)) )).
% 289.48/289.64 cnf(matrix-102, plain, ( ssItem(skaf60(U)) )).
% 289.48/289.64 cnf(matrix-103, plain, ( ssItem(skaf59(U)) )).
% 289.48/289.64 cnf(matrix-104, plain, ( ssList(skaf58(U)) )).
% 289.48/289.64 cnf(matrix-105, plain, ( ssList(skaf57(U)) )).
% 289.48/289.64 cnf(matrix-106, plain, ( ssList(skaf56(U)) )).
% 289.48/289.64 cnf(matrix-107, plain, ( ssItem(skaf55(U)) )).
% 289.48/289.64 cnf(matrix-108, plain, ( ssItem(skaf54(U)) )).
% 289.48/289.64 cnf(matrix-109, plain, ( ssList(skaf53(U)) )).
% 289.48/289.64 cnf(matrix-110, plain, ( ssList(skaf52(U)) )).
% 289.48/289.64 cnf(matrix-111, plain, ( ssList(skaf51(U)) )).
% 289.48/289.64 cnf(matrix-112, plain, ( ssItem(skaf50(U)) )).
% 289.48/289.64 cnf(matrix-113, plain, ( ssItem(skaf49(U)) )).
% 289.48/289.64 cnf(matrix-114, plain, ( ssItem(skaf44(U)) )).
% 289.48/289.64 cnf(matrix-115, plain, ( ssList(skaf48(U, V)) )).
% 289.48/289.64 cnf(matrix-116, plain, ( ssList(skaf47(U, V)) )).
% 289.48/289.64 cnf(matrix-117, plain, ( ssList(skaf46(U, V)) )).
% 289.48/289.64 cnf(matrix-118, plain, ( ssList(skaf45(U, V)) )).
% 289.48/289.64 cnf(matrix-119, plain, ( ssList(skaf43(U, V)) )).
% 289.48/289.64 cnf(matrix-120, plain, ( ssList(skaf42(U, V)) )).
% 289.48/289.64 cnf(matrix-121, plain, ( ( skac3 != skac2) )).
% 289.48/289.64 cnf(matrix-122, plain, ( ~ssItem(U) | geq(U, U) )).
% 289.48/289.64 cnf(matrix-123, plain, ( ~ssList(U) | segmentP(U, nil) )).
% 289.48/289.64 cnf(matrix-124, plain, ( ~ssList(U) | segmentP(U, U) )).
% 289.48/289.64 cnf(matrix-125, plain, ( ~ssList(U) | rearsegP(U, nil) )).
% 289.48/289.64 cnf(matrix-126, plain, ( ~ssList(U) | rearsegP(U, U) )).
% 289.48/289.64 cnf(matrix-127, plain, ( ~ssList(U) | frontsegP(U, nil) )).
% 289.48/289.64 cnf(matrix-128, plain, ( ~ssList(U) | frontsegP(U, U) )).
% 289.48/289.64 cnf(matrix-129, plain, ( ~ssItem(U) | leq(U, U) )).
% 289.48/289.64 cnf(matrix-130, plain, ( ~lt(U, U) | ~ssItem(U) )).
% 289.48/289.64 cnf(matrix-131, plain, ( ~ssItem(U) | equalelemsP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-132, plain, ( ~ssItem(U) | duplicatefreeP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-133, plain, ( ~ssItem(U) | strictorderedP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-134, plain, ( ~ssItem(U) | totalorderedP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-135, plain, ( ~ssItem(U) | strictorderP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-136, plain, ( ~ssItem(U) | totalorderP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-137, plain, ( ~ssItem(U) | cyclefreeP(cons(U, nil)) )).
% 289.48/289.64 cnf(matrix-138, plain, ( ~memberP(nil, U) | ~ssItem(U) )).
% 289.48/289.64 cnf(matrix-139, plain, ( ~ssList(U) | duplicatefreeP(U) | ssItem(V) )).
% 289.48/289.64 cnf(matrix-140, plain, ( ~ssList(U) | ( app(U, nil) = U) )).
% 289.48/289.64 cnf(matrix-141, plain, ( ~ssList(U) | ( app(nil, U) = U) )).
% 289.48/289.64 cnf(matrix-142, plain, ( ~ssList(U) | ssList(tl(U)) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-143, plain, ( ~ssList(U) | ssItem(hd(U)) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-144, plain, ( ~ssList(U) | ssList(tl(U)) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-145, plain, ( ~ssList(U) | ssItem(hd(U)) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-146, plain, ( ( nil != U) | ~ssList(U) | segmentP(nil, U) )).
% 289.48/289.64 cnf(matrix-147, plain, ( ~segmentP(nil, U) | ~ssList(U) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-148, plain, ( ( nil != U) | ~ssList(U) | rearsegP(nil, U) )).
% 289.48/289.64 cnf(matrix-149, plain, ( ~rearsegP(nil, U) | ~ssList(U) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-150, plain, ( ( nil != U) | ~ssList(U) | frontsegP(nil, U) )).
% 289.48/289.64 cnf(matrix-151, plain, ( ~frontsegP(nil, U) | ~ssList(U) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-152, plain, ( ~ssList(U) | ~ssList(V) | ssList(app(V, U)) )).
% 289.48/289.64 cnf(matrix-153, plain, ( ~ssItem(U) | ~ssList(V) | ssList(cons(U, V)) )).
% 289.48/289.64 cnf(matrix-154, plain, ( ~ssList(U) | cyclefreeP(U) | leq(skaf50(U), skaf49(U)) )).
% 289.48/289.64 cnf(matrix-155, plain, ( ~ssList(U) | cyclefreeP(U) | leq(skaf49(U), skaf50(U)) )).
% 289.48/289.64 cnf(matrix-156, plain, ( ( skaf79(U) != skaf78(U)) | ~ssList(U) | equalelemsP(U) )).
% 289.48/289.64 cnf(matrix-157, plain, ( ~lt(skaf69(U), skaf70(U)) | ~ssList(U) | strictorderedP(U) )).
% 289.48/289.64 cnf(matrix-158, plain, ( ~leq(skaf64(U), skaf65(U)) | ~ssList(U) | totalorderedP(U) )).
% 289.48/289.64 cnf(matrix-159, plain, ( ~lt(skaf60(U), skaf59(U)) | ~ssList(U) | strictorderP(U) )).
% 289.48/289.64 cnf(matrix-160, plain, ( ~lt(skaf59(U), skaf60(U)) | ~ssList(U) | strictorderP(U) )).
% 289.48/289.64 cnf(matrix-161, plain, ( ~leq(skaf55(U), skaf54(U)) | ~ssList(U) | totalorderP(U) )).
% 289.48/289.64 cnf(matrix-162, plain, ( ~leq(skaf54(U), skaf55(U)) | ~ssList(U) | totalorderP(U) )).
% 289.48/289.64 cnf(matrix-163, plain, ( ~ssItem(U) | ~ssList(V) | ( tl(cons(U, V)) = V) )).
% 289.48/289.64 cnf(matrix-164, plain, ( ~ssItem(U) | ~ssList(V) | ( hd(cons(U, V)) = U) )).
% 289.48/289.64 cnf(matrix-165, plain, ( ( cons(U, V) != nil) | ~ssItem(U) | ~ssList(V) )).
% 289.48/289.64 cnf(matrix-166, plain, ( ( cons(U, V) != V) | ~ssItem(U) | ~ssList(V) )).
% 289.48/289.64 cnf(matrix-167, plain, ( ~ssList(U) | ~ssList(V) | neq(V, U) | ( V = U) )).
% 289.48/289.64 cnf(matrix-168, plain, ( ~singletonP(U) | ~ssList(U) | ( cons(skaf44(U), nil) = U) )).
% 289.48/289.64 cnf(matrix-169, plain, ( ~ssItem(U) | ~ssItem(V) | neq(V, U) | ( V = U) )).
% 289.48/289.64 cnf(matrix-170, plain, ( ~lt(U, V) | ~ssItem(V) | ~ssItem(U) | leq(U, V) )).
% 289.48/289.64 cnf(matrix-171, plain, ( ~ssList(U) | ( cons(hd(U), tl(U)) = U) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-172, plain, ( ~gt(U, V) | ~ssItem(V) | ~ssItem(U) | lt(V, U) )).
% 289.48/289.64 cnf(matrix-173, plain, ( ~lt(U, V) | ~ssItem(U) | ~ssItem(V) | gt(V, U) )).
% 289.48/289.64 cnf(matrix-174, plain, ( ~geq(U, V) | ~ssItem(V) | ~ssItem(U) | leq(V, U) )).
% 289.48/289.64 cnf(matrix-175, plain, ( ~leq(U, V) | ~ssItem(U) | ~ssItem(V) | geq(V, U) )).
% 289.48/289.64 cnf(matrix-176, plain, ( ~ssList(U) | ( cons(skaf83(U), skaf82(U)) = U) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-177, plain, ( ~gt(U, V) | ~gt(V, U) | ~ssItem(U) | ~ssItem(V) )).
% 289.48/289.64 cnf(matrix-178, plain, ( ( U != V) | ~lt(U, V) | ~ssItem(V) | ~ssItem(U) )).
% 289.48/289.64 cnf(matrix-179, plain, ( ( nil != U) | ~ssList(U) | ~ssItem(V) | strictorderedP(cons(V, U)) )).
% 289.48/289.64 cnf(matrix-180, plain, ( ( nil != U) | ~ssList(U) | ~ssItem(V) | totalorderedP(cons(V, U)) )).
% 289.48/289.64 cnf(matrix-181, plain, ( ~lt(U, V) | ~lt(V, U) | ~ssItem(U) | ~ssItem(V) )).
% 289.48/289.64 cnf(matrix-182, plain, ( ( U != V) | ~neq(U, V) | ~ssList(V) | ~ssList(U) )).
% 289.48/289.64 cnf(matrix-183, plain, ( ( cons(U, nil) != V) | ~ssItem(U) | ~ssList(V) | singletonP(V) )).
% 289.48/289.64 cnf(matrix-184, plain, ( ( U != V) | ~neq(U, V) | ~ssItem(V) | ~ssItem(U) )).
% 289.48/289.64 cnf(matrix-185, plain, ( ( app(U, V) != nil) | ~ssList(V) | ~ssList(U) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-186, plain, ( ( app(U, V) != nil) | ~ssList(V) | ~ssList(U) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-187, plain, ( ~ssItem(U) | ~ssList(V) | ( app(cons(U, nil), V) = cons(U, V)) )).
% 289.48/289.64 cnf(matrix-188, plain, ( ~leq(U, V) | ~ssItem(V) | ~ssItem(U) | lt(U, V) | ( U = V) )).
% 289.48/289.64 cnf(matrix-189, plain, ( ~leq(U, V) | ~ssItem(V) | ~ssItem(U) | lt(U, V) | ( U = V) )).
% 289.48/289.64 cnf(matrix-190, plain, ( ~ssList(U) | ~ssList(V) | ( nil = V) | ( hd(app(V, U)) = hd(V)) )).
% 289.48/289.64 cnf(matrix-191, plain, ( ~strictorderedP(cons(U, V)) | ~ssList(V) | ~ssItem(U) | strictorderedP(V) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-192, plain, ( ~totalorderedP(cons(U, V)) | ~ssList(V) | ~ssItem(U) | totalorderedP(V) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-193, plain, ( ~geq(U, V) | ~geq(V, U) | ~ssItem(U) | ~ssItem(V) | ( V = U) )).
% 289.48/289.64 cnf(matrix-194, plain, ( ~segmentP(U, V) | ~segmentP(V, U) | ~ssList(U) | ~ssList(V) | ( V = U) )).
% 289.48/289.64 cnf(matrix-195, plain, ( ~rearsegP(U, V) | ~rearsegP(V, U) | ~ssList(U) | ~ssList(V) | ( V = U) )).
% 289.48/289.64 cnf(matrix-196, plain, ( ~frontsegP(U, V) | ~frontsegP(V, U) | ~ssList(U) | ~ssList(V) | ( V = U) )).
% 289.48/289.64 cnf(matrix-197, plain, ( ~leq(U, V) | ~leq(V, U) | ~ssItem(U) | ~ssItem(V) | ( V = U) )).
% 289.48/289.64 cnf(matrix-198, plain, ( ~rearsegP(U, V) | ~ssList(V) | ~ssList(U) | ( app(skaf46(U, V), V) = U) )).
% 289.48/289.64 cnf(matrix-199, plain, ( ~frontsegP(U, V) | ~ssList(V) | ~ssList(U) | ( app(V, skaf45(U, V)) = U) )).
% 289.48/289.64 cnf(matrix-200, plain, ( ~ssList(U) | ~ssList(V) | ( nil = V) | ( tl(app(V, U)) = app(tl(V), U)) )).
% 289.48/289.64 cnf(matrix-201, plain, ( ~strictorderedP(cons(U, V)) | ~ssList(V) | ~ssItem(U) | lt(U, hd(V)) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-202, plain, ( ~totalorderedP(cons(U, V)) | ~ssList(V) | ~ssItem(U) | leq(U, hd(V)) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-203, plain, ( ~rearsegP(U, V) | ~ssList(W) | ~ssList(V) | ~ssList(U) | rearsegP(app(W, U), V) )).
% 289.48/289.64 cnf(matrix-204, plain, ( ~frontsegP(U, V) | ~ssList(W) | ~ssList(V) | ~ssList(U) | frontsegP(app(U, W), V) )).
% 289.48/289.64 cnf(matrix-205, plain, ( ( U != V) | ~ssList(W) | ~ssItem(V) | ~ssItem(U) | memberP(cons(V, W), U) )).
% 289.48/289.64 cnf(matrix-206, plain, ( ~memberP(U, V) | ~ssList(U) | ~ssItem(W) | ~ssItem(V) | memberP(cons(W, U), V) )).
% 289.48/289.64 cnf(matrix-207, plain, ( ~memberP(U, V) | ~ssList(W) | ~ssList(U) | ~ssItem(V) | memberP(app(U, W), V) )).
% 289.48/289.64 cnf(matrix-208, plain, ( ~memberP(U, V) | ~ssList(U) | ~ssList(W) | ~ssItem(V) | memberP(app(W, U), V) )).
% 289.48/289.64 cnf(matrix-209, plain, ( ~ssList(U) | equalelemsP(U) | ( app(skaf80(U), cons(skaf78(U), cons(skaf79(U), skaf81(U)))) = U) )).
% 289.48/289.64 cnf(matrix-210, plain, ( ( app(U, V) != W) | ~ssList(U) | ~ssList(V) | ~ssList(W) | rearsegP(W, V) )).
% 289.48/289.64 cnf(matrix-211, plain, ( ( app(U, V) != W) | ~ssList(V) | ~ssList(U) | ~ssList(W) | frontsegP(W, U) )).
% 289.48/289.64 cnf(matrix-212, plain, ( ( nil != U) | ( nil != V) | ~ssList(V) | ~ssList(U) | ( app(U, V) = nil) )).
% 289.48/289.64 cnf(matrix-213, plain, ( ~gt(U, V) | ~gt(V, W) | ~ssItem(W) | ~ssItem(V) | ~ssItem(U) | gt(U, W) )).
% 289.48/289.64 cnf(matrix-214, plain, ( ~leq(U, V) | ~lt(V, W) | ~ssItem(W) | ~ssItem(V) | ~ssItem(U) | lt(U, W) )).
% 289.48/289.64 cnf(matrix-215, plain, ( ~geq(U, V) | ~geq(V, W) | ~ssItem(W) | ~ssItem(V) | ~ssItem(U) | geq(U, W) )).
% 289.48/289.64 cnf(matrix-216, plain, ( ~ssList(U) | ~ssList(V) | ~ssList(W) | ( app(app(W, V), U) = app(W, app(V, U))) )).
% 289.48/289.64 cnf(matrix-217, plain, ( ( app(U, V) != app(U, W)) | ~ssList(V) | ~ssList(U) | ~ssList(W) | ( V = W) )).
% 289.48/289.64 cnf(matrix-218, plain, ( ( app(U, V) != app(W, V)) | ~ssList(U) | ~ssList(V) | ~ssList(W) | ( U = W) )).
% 289.48/289.64 cnf(matrix-219, plain, ( ~segmentP(U, V) | ~segmentP(V, W) | ~ssList(W) | ~ssList(V) | ~ssList(U) | segmentP(U, W) )).
% 289.48/289.64 cnf(matrix-220, plain, ( ~rearsegP(U, V) | ~rearsegP(V, W) | ~ssList(W) | ~ssList(V) | ~ssList(U) | rearsegP(U, W) )).
% 289.48/289.64 cnf(matrix-221, plain, ( ~frontsegP(U, V) | ~frontsegP(V, W) | ~ssList(W) | ~ssList(V) | ~ssList(U) | frontsegP(U, W) )).
% 289.48/289.64 cnf(matrix-222, plain, ( ~lt(U, V) | ~lt(V, W) | ~ssItem(W) | ~ssItem(V) | ~ssItem(U) | lt(U, W) )).
% 289.48/289.64 cnf(matrix-223, plain, ( ~leq(U, V) | ~leq(V, W) | ~ssItem(W) | ~ssItem(V) | ~ssItem(U) | leq(U, W) )).
% 289.48/289.64 cnf(matrix-224, plain, ( ~ssItem(U) | ~ssList(V) | ~ssList(W) | ( cons(U, app(V, W)) = app(cons(U, V), W)) )).
% 289.48/289.64 cnf(matrix-225, plain, ( ~memberP(app(U, V), W) | ~ssList(V) | ~ssList(U) | ~ssItem(W) | memberP(V, W) | memberP(U, W) )).
% 289.48/289.64 cnf(matrix-226, plain, ( ~leq(U, hd(V)) | ~totalorderedP(V) | ~ssList(V) | ~ssItem(U) | totalorderedP(cons(U, V)) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-227, plain, ( ~lt(U, hd(V)) | ~strictorderedP(V) | ~ssList(V) | ~ssItem(U) | strictorderedP(cons(U, V)) | ( nil = V) )).
% 289.48/289.64 cnf(matrix-228, plain, ( ~memberP(cons(U, V), W) | ~ssList(V) | ~ssItem(U) | ~ssItem(W) | memberP(V, W) | ( W = U) )).
% 289.48/289.64 cnf(matrix-229, plain, ( ~ssList(U) | duplicatefreeP(U) | ( app(app(skaf75(U), cons(skaf74(U), skaf76(U))), cons(skaf74(U), skaf77(U))) = U) )).
% 289.48/289.64 cnf(matrix-230, plain, ( ~ssList(U) | strictorderedP(U) | ( app(app(skaf71(U), cons(skaf69(U), skaf72(U))), cons(skaf70(U), skaf73(U))) = U) )).
% 289.48/289.64 cnf(matrix-231, plain, ( ~ssList(U) | totalorderedP(U) | ( app(app(skaf66(U), cons(skaf64(U), skaf67(U))), cons(skaf65(U), skaf68(U))) = U) )).
% 289.48/289.64 cnf(matrix-232, plain, ( ~ssList(U) | strictorderP(U) | ( app(app(skaf61(U), cons(skaf59(U), skaf62(U))), cons(skaf60(U), skaf63(U))) = U) )).
% 289.48/289.64 cnf(matrix-233, plain, ( ~ssList(U) | totalorderP(U) | ( app(app(skaf56(U), cons(skaf54(U), skaf57(U))), cons(skaf55(U), skaf58(U))) = U) )).
% 289.48/289.64 cnf(matrix-234, plain, ( ~ssList(U) | cyclefreeP(U) | ( app(app(skaf51(U), cons(skaf49(U), skaf52(U))), cons(skaf50(U), skaf53(U))) = U) )).
% 289.48/289.64 cnf(matrix-235, plain, ( ~segmentP(U, V) | ~ssList(V) | ~ssList(U) | ( app(app(skaf47(U, V), V), skaf48(V, U)) = U) )).
% 289.48/289.64 cnf(matrix-236, plain, ( ~memberP(U, V) | ~ssItem(V) | ~ssList(U) | ( app(skaf42(U, V), cons(V, skaf43(V, U))) = U) )).
% 289.48/289.64 cnf(matrix-237, plain, ( ( cons(U, V) != cons(W, X)) | ~ssItem(W) | ~ssItem(U) | ~ssList(X) | ~ssList(V) | ( U = W) )).
% 289.48/289.64 cnf(matrix-238, plain, ( ( cons(U, V) != cons(W, X)) | ~ssItem(W) | ~ssItem(U) | ~ssList(X) | ~ssList(V) | ( X = V) )).
% 289.48/289.64 cnf(matrix-239, plain, ( ~segmentP(U, V) | ~ssList(W) | ~ssList(X) | ~ssList(V) | ~ssList(U) | segmentP(app(app(X, U), W), V) )).
% 289.48/289.64 cnf(matrix-240, plain, ( ( app(app(U, V), W) != X) | ~ssList(W) | ~ssList(U) | ~ssList(V) | ~ssList(X) | segmentP(X, V) )).
% 289.48/289.64 cnf(matrix-241, plain, ( ~frontsegP(cons(U, V), cons(W, X)) | ~ssList(X) | ~ssList(V) | ~ssItem(W) | ~ssItem(U) | frontsegP(V, X) )).
% 289.48/289.64 cnf(matrix-242, plain, ( ( app(U, cons(V, W)) != X) | ~ssList(W) | ~ssList(U) | ~ssItem(V) | ~ssList(X) | memberP(X, V) )).
% 289.48/289.64 cnf(matrix-243, plain, ( ~frontsegP(cons(U, V), cons(W, X)) | ~ssList(X) | ~ssList(V) | ~ssItem(W) | ~ssItem(U) | ( U = W) )).
% 289.48/289.64 cnf(matrix-244, plain, ( ( tl(U) != tl(V)) | ( hd(U) != hd(V)) | ~ssList(U) | ~ssList(V) | ( nil = V) | ( U = V) | ( nil = U) )).
% 289.48/289.64 cnf(matrix-245, plain, ( ~frontsegP(U, V) | ( W != X) | ~ssList(V) | ~ssList(U) | ~ssItem(X) | ~ssItem(W) | frontsegP(cons(W, U), cons(X, V)) )).
% 289.48/289.64 cnf(matrix-246, plain, ( ( app(app(U, cons(V, W)), cons(V, X)) != Y) | ~ssList(X) | ~ssList(W) | ~ssList(U) | ~ssItem(V) | ~duplicatefreeP(Y) | ~ssList(Y) )).
% 289.48/289.64 cnf(matrix-247, plain, ( ( app(U, cons(V, cons(W, X))) != Y) | ~ssList(X) | ~ssList(U) | ~ssItem(W) | ~ssItem(V) | ~equalelemsP(Y) | ~ssList(Y) | ( V = W) )).
% 289.48/289.64 cnf(matrix-248, plain, ( ( app(app(U, cons(V, W)), cons(X, Y)) != Z) | ~ssList(Y) | ~ssList(W) | ~ssList(U) | ~ssItem(X) | ~ssItem(V) | ~strictorderedP(Z) | ~ssList(Z) | lt(V, X) )).
% 289.48/289.64 cnf(matrix-249, plain, ( ( app(app(U, cons(V, W)), cons(X, Y)) != Z) | ~ssList(Y) | ~ssList(W) | ~ssList(U) | ~ssItem(X) | ~ssItem(V) | ~totalorderedP(Z) | ~ssList(Z) | leq(V, X) )).
% 289.48/289.64 cnf(matrix-250, plain, ( ( app(app(U, cons(V, W)), cons(X, Y)) != Z) | ~ssList(Y) | ~ssList(W) | ~ssList(U) | ~ssItem(X) | ~ssItem(V) | ~strictorderP(Z) | ~ssList(Z) | lt(V, X) | lt(X, V) )).
% 289.48/289.64 cnf(matrix-251, plain, ( ( app(app(U, cons(V, W)), cons(X, Y)) != Z) | ~ssList(Y) | ~ssList(W) | ~ssList(U) | ~ssItem(X) | ~ssItem(V) | ~totalorderP(Z) | ~ssList(Z) | leq(V, X) | leq(X, V) )).
% 289.48/289.64 cnf(matrix-252, plain, ( ~leq(U, V) | ~leq(V, U) | ( app(app(W, cons(U, X)), cons(V, Y)) != Z) | ~ssList(Y) | ~ssList(X) | ~ssList(W) | ~ssItem(V) | ~ssItem(U) | ~cyclefreeP(Z) | ~ssList(Z) )).
% 289.48/289.64 cnf(matrix-253, plain, ( ssList(sk1) )).
% 289.48/289.64 cnf(matrix-254, plain, ( ssList(sk2) )).
% 289.48/289.64 cnf(matrix-255, plain, ( ssList(sk3) )).
% 289.48/289.64 cnf(matrix-256, plain, ( ssList(sk4) )).
% 289.48/289.64 cnf(matrix-257, plain, ( ( sk2 = sk4) )).
% 289.48/289.64 cnf(matrix-258, plain, ( ( sk1 = sk3) )).
% 289.48/289.64 cnf(matrix-259, plain, ( strictorderedP(sk3) )).
% 289.48/289.64 cnf(matrix-260, plain, ( ~strictorderedP(sk1) )).
% 289.48/289.64
% 289.48/289.64 % Proof stack:
% 289.48/289.64 cnf(proof-stack, plain,
% 289.48/289.64 proof_stack(
% 289.48/289.64 start(258),
% 289.48/289.64 left_branch(0, 1, 0, 2),
% 289.48/289.64 left_branch(0, 51, 0, 3),
% 289.48/289.64 left_branch(0, 260, 0, 4),
% 289.48/289.64 right_branch(4),
% 289.48/289.64 left_branch(0, 259, 0, 5),
% 289.48/289.64 right_branch(5),
% 289.48/289.64 right_branch(3),
% 289.48/289.64 right_branch(2)
% 289.48/289.64 )).
% 289.48/289.64 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------