%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:05:36 PM UTC 2026
% Result : Unsatisfiable 57.72s 8.15s
% Output : Proof 57.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of formulae : 128 ( 72 unt; 0 def)
% Number of atoms : 308 ( 94 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 418 ( 238 ~; 180 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 150 ( 2 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f197,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f197_nnf,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(nnf_transformation,[status(thm)],[f197]) ).
fof(f197_sk,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(skolemisation,[status(esa)],[f197_nnf]) ).
cnf(c197,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(cnf_transformation,[status(esa)],[f197_sk]) ).
cnf(t76,plain,
or(memberP(sk6,sk5),memberP(sk7,sk5)) = true,
inference(equality_encoding,[status(esa)],[c197]) ).
cnf(t301,plain,
or(memberP(sk6,sk5),memberP(sk7,sk5)) = true,
inference(orient,[status(thm)],[t76]) ).
cnf(t8321,plain,
or(false,memberP(sk7,sk5)) = true,
inference(rw,[status(thm)],[t301]) ).
cnf(t26,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t247,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t26]) ).
cnf(t10946,plain,
memberP(sk7,sk5) = true,
inference(step,[status(thm)],[t8321,t247]) ).
cnf(t72,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t293,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t72]) ).
cnf(f192,negated_conjecture,
( ~ memberP(C,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
! [A,B,C] :
( ~ memberP(C,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
! [A,B,C] :
( ~ memberP(C,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( ~ memberP(X2,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(t188,plain,
or(not(ssItem(X1)),or(not(ssList(X2)),or(not(ssList(X3)),or(not(eq(app(app(X2,cons(X1,nil)),X3),sk3)),not(memberP(X3,X1)))))) = true,
inference(equality_encoding,[status(esa)],[c192]) ).
cnf(t8362,plain,
or(not(ssItem(X1)),or(not(ssList(X2)),or(not(ssList(X3)),or(not(eq(app(app(X2,cons(X1,nil)),X3),sk3)),not(memberP(X3,X1)))))) = true,
inference(orient,[status(thm)],[t188]) ).
cnf(f196,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(nnf_transformation,[status(thm)],[f196]) ).
cnf(c196,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(cnf_transformation,[status(esa)],[f196_nnf]) ).
cnf(t74,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(equality_encoding,[status(esa)],[c196]) ).
cnf(f190,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190_nnf,plain,
sk1 = sk3,
inference(nnf_transformation,[status(thm)],[f190]) ).
cnf(c190,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f190_nnf]) ).
cnf(t0,plain,
sk3 = sk1,
inference(equality_encoding,[status(esa)],[c190]) ).
cnf(t223,plain,
sk1 = sk3,
inference(orient,[status(thm)],[t0]) ).
cnf(t8739,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(step,[status(thm)],[t74,t223]) ).
cnf(t297,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(orient,[status(thm)],[t8739]) ).
cnf(t8445,plain,
true = or(not(ssItem(sk5)),or(not(ssList(sk6)),or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5)))))),
inference(cp,[status(thm)],[t8362,t297]) ).
cnf(f193,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
ssItem(sk5),
inference(nnf_transformation,[status(thm)],[f193]) ).
cnf(c193,plain,
ssItem(sk5),
inference(cnf_transformation,[status(esa)],[f193_nnf]) ).
cnf(t8,plain,
ssItem(sk5) = true,
inference(equality_encoding,[status(esa)],[c193]) ).
cnf(t231,plain,
ssItem(sk5) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t10926,plain,
true = or(not(true),or(not(ssList(sk6)),or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5)))))),
inference(step,[status(thm)],[t8445,t231]) ).
cnf(t6,plain,
not(true) = false,
introduced(definition) ).
cnf(t229,plain,
not(true) = false,
inference(orient,[status(thm)],[t6]) ).
cnf(t10927,plain,
true = or(false,or(not(ssList(sk6)),or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5)))))),
inference(step,[status(thm)],[t10926,t229]) ).
cnf(t10928,plain,
true = or(not(ssList(sk6)),or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5))))),
inference(step,[status(thm)],[t10927,t247]) ).
cnf(f194,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
ssList(sk6),
inference(nnf_transformation,[status(thm)],[f194]) ).
cnf(c194,plain,
ssList(sk6),
inference(cnf_transformation,[status(esa)],[f194_nnf]) ).
cnf(t16,plain,
ssList(sk6) = true,
inference(equality_encoding,[status(esa)],[c194]) ).
cnf(t237,plain,
ssList(sk6) = true,
inference(orient,[status(thm)],[t16]) ).
cnf(t10929,plain,
true = or(not(true),or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5))))),
inference(step,[status(thm)],[t10928,t237]) ).
cnf(t10930,plain,
true = or(false,or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5))))),
inference(step,[status(thm)],[t10929,t229]) ).
cnf(t10931,plain,
true = or(not(ssList(sk7)),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5)))),
inference(step,[status(thm)],[t10930,t247]) ).
cnf(f195,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f195_nnf,plain,
ssList(sk7),
inference(nnf_transformation,[status(thm)],[f195]) ).
cnf(c195,plain,
ssList(sk7),
inference(cnf_transformation,[status(esa)],[f195_nnf]) ).
cnf(t17,plain,
ssList(sk7) = true,
inference(equality_encoding,[status(esa)],[c195]) ).
cnf(t238,plain,
ssList(sk7) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(t10932,plain,
true = or(not(true),or(not(eq(sk3,sk3)),not(memberP(sk7,sk5)))),
inference(step,[status(thm)],[t10931,t238]) ).
cnf(t10933,plain,
true = or(false,or(not(eq(sk3,sk3)),not(memberP(sk7,sk5)))),
inference(step,[status(thm)],[t10932,t229]) ).
cnf(t10934,plain,
true = or(not(eq(sk3,sk3)),not(memberP(sk7,sk5))),
inference(step,[status(thm)],[t10933,t247]) ).
cnf(t22,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t243,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t22]) ).
cnf(t10935,plain,
true = or(not(true),not(memberP(sk7,sk5))),
inference(step,[status(thm)],[t10934,t243]) ).
cnf(t10936,plain,
true = or(false,not(memberP(sk7,sk5))),
inference(step,[status(thm)],[t10935,t229]) ).
cnf(t10937,plain,
true = not(memberP(sk7,sk5)),
inference(step,[status(thm)],[t10936,t247]) ).
cnf(t8446,plain,
not(memberP(sk7,sk5)) = true,
inference(orient,[status(thm)],[t10937]) ).
cnf(t8447,plain,
false = ifeq(true,true,memberP(sk7,sk5),false),
inference(cp,[status(thm)],[t293,t8446]) ).
cnf(t70,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t291,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t70]) ).
cnf(t10938,plain,
false = memberP(sk7,sk5),
inference(step,[status(thm)],[t8447,t291]) ).
cnf(t8448,plain,
memberP(sk7,sk5) = false,
inference(orient,[status(thm)],[t10938]) ).
cnf(t10947,plain,
false = true,
inference(step,[status(thm)],[t10946,t8448]) ).
cnf(t8628,plain,
false = true,
inference(orient,[status(thm)],[t10947]) ).
cnf(f10,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f10_nnf,plain,
~ singletonP(nil),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
~ singletonP(nil),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ singletonP(nil),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f53,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f53_nnf,plain,
skac3 != skac2,
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
skac3 != skac2,
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
skac3 != skac2,
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(f62,axiom,
( ~ ssItem(U)
| ~ lt(U,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f62_nnf,plain,
! [U] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [U] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(f70,axiom,
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f70_nnf,plain,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c70,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(f97,axiom,
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f97_nnf,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
inference(skolemisation,[status(esa)],[f97_nnf]) ).
cnf(c97,plain,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(f98,axiom,
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f98_nnf,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c98,plain,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(f109,axiom,
( ~ ssItem(V)
| ~ ssItem(U)
| ~ gt(V,U)
| ~ gt(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f109_nnf,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ gt(V,U)
| ~ gt(U,V) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
fof(f109_sk,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ gt(V,U)
| ~ gt(U,V) ),
inference(skolemisation,[status(esa)],[f109_nnf]) ).
cnf(c109,plain,
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f109_sk]) ).
cnf(f110,axiom,
( ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f110_nnf,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V)
| U != V ),
inference(nnf_transformation,[status(thm)],[f110]) ).
fof(f110_sk,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V)
| U != V ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c110,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(f113,axiom,
( ~ ssItem(V)
| ~ ssItem(U)
| ~ lt(V,U)
| ~ lt(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f113_nnf,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ lt(V,U)
| ~ lt(U,V) ),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ lt(V,U)
| ~ lt(U,V) ),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c113,plain,
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(f114,axiom,
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f114_nnf,plain,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
inference(nnf_transformation,[status(thm)],[f114]) ).
fof(f114_sk,plain,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c114,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(f116,axiom,
( ~ ssItem(U)
| ~ ssItem(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f116_nnf,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ neq(U,V)
| U != V ),
inference(nnf_transformation,[status(thm)],[f116]) ).
fof(f116_sk,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ neq(U,V)
| U != V ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c116,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(f178,axiom,
( ~ ssList(Y)
| ~ duplicatefreeP(Y)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(X)
| app(app(U,cons(V,W)),cons(V,X)) != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f178_nnf,plain,
! [U,V,W,X,Y] :
( ~ ssList(Y)
| ~ duplicatefreeP(Y)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(X)
| app(app(U,cons(V,W)),cons(V,X)) != Y ),
inference(nnf_transformation,[status(thm)],[f178]) ).
fof(f178_sk,plain,
! [U,V,W,X,Y] :
( ~ ssList(Y)
| ~ duplicatefreeP(Y)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(X)
| app(app(U,cons(V,W)),cons(V,X)) != Y ),
inference(skolemisation,[status(esa)],[f178_nnf]) ).
cnf(c178,plain,
( ~ ssList(X4)
| ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
inference(cnf_transformation,[status(esa)],[f178_sk]) ).
cnf(f184,axiom,
( ~ ssList(Z)
| ~ cyclefreeP(Z)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(X)
| ~ ssList(Y)
| app(app(W,cons(U,X)),cons(V,Y)) != Z
| ~ leq(V,U)
| ~ leq(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f184_nnf,plain,
! [U,V,W,X,Y,Z] :
( ~ ssList(Z)
| ~ cyclefreeP(Z)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(X)
| ~ ssList(Y)
| app(app(W,cons(U,X)),cons(V,Y)) != Z
| ~ leq(V,U)
| ~ leq(U,V) ),
inference(nnf_transformation,[status(thm)],[f184]) ).
fof(f184_sk,plain,
! [U,V,W,X,Y,Z] :
( ~ ssList(Z)
| ~ cyclefreeP(Z)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(X)
| ~ ssList(Y)
| app(app(W,cons(U,X)),cons(V,Y)) != Z
| ~ leq(V,U)
| ~ leq(U,V) ),
inference(skolemisation,[status(esa)],[f184_nnf]) ).
cnf(c184,plain,
( ~ ssList(X5)
| ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f184_sk]) ).
cnf(f191,negated_conjecture,
( ~ memberP(B,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
! [A,B,C] :
( ~ memberP(B,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
! [A,B,C] :
( ~ memberP(B,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( ~ memberP(X1,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c10,c53,c62,c70,c97,c98,c109,c110,c113,c114,c116,c178,c184,c191,c192]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t8628]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 16:49:37 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 57.72/8.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.72/8.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------