%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC127-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 03:05:26 PM UTC 2026
% Result : Unsatisfiable 52.12s 17.19s
% Output : Proof 52.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 29
% Syntax : Number of formulae : 164 ( 104 unt; 0 def)
% Number of atoms : 336 ( 119 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 398 ( 226 ~; 172 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 148 ( 6 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f99,axiom,
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f99_nnf,plain,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f99]) ).
fof(f99_sk,plain,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f99_nnf]) ).
cnf(c99,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f99_sk]) ).
cnf(t132,plain,
ifeq(ssList(X1),true,ifeq(ssList(X2),true,or(neq(X2,X1),eq(X2,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c99]) ).
cnf(t2759,plain,
ifeq(ssList(X1),true,ifeq(ssList(X2),true,or(neq(X2,X1),eq(X2,X1)),true),true) = true,
inference(orient,[status(thm)],[t132]) ).
cnf(t71,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t288,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t71]) ).
cnf(f194,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(nnf_transformation,[status(thm)],[f194]) ).
fof(f194_sk,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(skolemisation,[status(esa)],[f194_nnf]) ).
cnf(c194,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(cnf_transformation,[status(esa)],[f194_sk]) ).
cnf(t94,plain,
or(not(neq(sk1,nil)),not(segmentP(sk2,sk1))) = true,
inference(equality_encoding,[status(esa)],[c194]) ).
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(t219,plain,
sk1 = sk3,
inference(orient,[status(thm)],[t0]) ).
cnf(t3109,plain,
or(not(neq(sk3,nil)),not(segmentP(sk2,sk1))) = true,
inference(step,[status(thm)],[t94,t219]) ).
cnf(f189,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f189_nnf,plain,
sk2 = sk4,
inference(nnf_transformation,[status(thm)],[f189]) ).
cnf(c189,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f189_nnf]) ).
cnf(t1,plain,
sk4 = sk2,
inference(equality_encoding,[status(esa)],[c189]) ).
cnf(t220,plain,
sk2 = sk4,
inference(orient,[status(thm)],[t1]) ).
cnf(t3110,plain,
or(not(neq(sk3,nil)),not(segmentP(sk4,sk1))) = true,
inference(step,[status(thm)],[t3109,t220]) ).
cnf(t3111,plain,
or(not(neq(sk3,nil)),not(segmentP(sk4,sk3))) = true,
inference(step,[status(thm)],[t3110,t219]) ).
cnf(f192,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
segmentP(sk4,sk3),
inference(nnf_transformation,[status(thm)],[f192]) ).
cnf(c192,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(esa)],[f192_nnf]) ).
cnf(t26,plain,
segmentP(sk4,sk3) = true,
inference(equality_encoding,[status(esa)],[c192]) ).
cnf(t243,plain,
segmentP(sk4,sk3) = true,
inference(orient,[status(thm)],[t26]) ).
cnf(t3112,plain,
or(not(neq(sk3,nil)),not(true)) = true,
inference(step,[status(thm)],[t3111,t243]) ).
cnf(t6,plain,
not(true) = false,
introduced(definition) ).
cnf(t225,plain,
not(true) = false,
inference(orient,[status(thm)],[t6]) ).
cnf(t3113,plain,
or(not(neq(sk3,nil)),false) = true,
inference(step,[status(thm)],[t3112,t225]) ).
cnf(t22,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t239,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t22]) ).
cnf(t3114,plain,
not(neq(sk3,nil)) = true,
inference(step,[status(thm)],[t3113,t239]) ).
cnf(t931,plain,
not(neq(sk3,nil)) = true,
inference(orient,[status(thm)],[t3114]) ).
cnf(t932,plain,
false = ifeq(true,true,neq(sk3,nil),false),
inference(cp,[status(thm)],[t288,t931]) ).
cnf(t69,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t286,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t69]) ).
cnf(t3115,plain,
false = neq(sk3,nil),
inference(step,[status(thm)],[t932,t286]) ).
cnf(t933,plain,
neq(sk3,nil) = false,
inference(orient,[status(thm)],[t3115]) ).
cnf(t2820,plain,
true = ifeq(ssList(nil),true,ifeq(ssList(sk3),true,or(false,eq(sk3,nil)),true),true),
inference(cp,[status(thm)],[t2759,t933]) ).
cnf(f7,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f7_nnf,plain,
ssList(nil),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t10,plain,
ssList(nil) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t229,plain,
ssList(nil) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t3593,plain,
true = ifeq(true,true,ifeq(ssList(sk3),true,or(false,eq(sk3,nil)),true),true),
inference(step,[status(thm)],[t2820,t229]) ).
cnf(t3594,plain,
true = ifeq(ssList(sk3),true,or(false,eq(sk3,nil)),true),
inference(step,[status(thm)],[t3593,t286]) ).
cnf(f185,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f185_nnf,plain,
ssList(sk1),
inference(nnf_transformation,[status(thm)],[f185]) ).
cnf(c185,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f185_nnf]) ).
cnf(t11,plain,
ssList(sk1) = true,
inference(equality_encoding,[status(esa)],[c185]) ).
cnf(t2914,plain,
ssList(sk3) = true,
inference(step,[status(thm)],[t11,t219]) ).
cnf(t230,plain,
ssList(sk3) = true,
inference(orient,[status(thm)],[t2914]) ).
cnf(t3595,plain,
true = ifeq(true,true,or(false,eq(sk3,nil)),true),
inference(step,[status(thm)],[t3594,t230]) ).
cnf(t3596,plain,
true = or(false,eq(sk3,nil)),
inference(step,[status(thm)],[t3595,t286]) ).
cnf(t24,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t241,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t24]) ).
cnf(t3597,plain,
true = eq(sk3,nil),
inference(step,[status(thm)],[t3596,t241]) ).
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(t117,plain,
or(not(eq(cons(X1,X2),X2)),or(not(ssItem(X1)),not(ssList(X2)))) = true,
inference(equality_encoding,[status(esa)],[c98]) ).
cnf(t1835,plain,
or(not(eq(cons(X1,X2),X2)),or(not(ssItem(X1)),not(ssList(X2)))) = true,
inference(orient,[status(thm)],[t117]) ).
cnf(f100,axiom,
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f100_nnf,plain,
! [U] :
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
inference(nnf_transformation,[status(thm)],[f100]) ).
fof(f100_sk,plain,
! [U] :
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
inference(skolemisation,[status(esa)],[f100_nnf]) ).
cnf(c100,plain,
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[status(esa)],[f100_sk]) ).
cnf(t112,plain,
ifeq(singletonP(X1),true,ifeq(ssList(X1),true,cons(skaf44(X1),nil),X1),X1) = X1,
inference(equality_encoding,[status(esa)],[c100]) ).
cnf(t1538,plain,
ifeq(singletonP(X1),true,ifeq(ssList(X1),true,cons(skaf44(X1),nil),X1),X1) = X1,
inference(orient,[status(thm)],[t112]) ).
cnf(t1540,plain,
sk3 = ifeq(singletonP(sk3),true,ifeq(true,true,cons(skaf44(sk3),nil),sk3),sk3),
inference(cp,[status(thm)],[t1538,t230]) ).
cnf(f193,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(t74,plain,
ifeq(neq(sk4,nil),true,singletonP(sk3),true) = true,
inference(equality_encoding,[status(esa)],[c193]) ).
cnf(f191,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
neq(sk2,nil),
inference(nnf_transformation,[status(thm)],[f191]) ).
cnf(c191,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(esa)],[f191_nnf]) ).
cnf(t21,plain,
neq(sk2,nil) = true,
inference(equality_encoding,[status(esa)],[c191]) ).
cnf(t2916,plain,
neq(sk4,nil) = true,
inference(step,[status(thm)],[t21,t220]) ).
cnf(t238,plain,
neq(sk4,nil) = true,
inference(orient,[status(thm)],[t2916]) ).
cnf(t2918,plain,
ifeq(true,true,singletonP(sk3),true) = true,
inference(step,[status(thm)],[t74,t238]) ).
cnf(t2919,plain,
singletonP(sk3) = true,
inference(step,[status(thm)],[t2918,t286]) ).
cnf(t295,plain,
singletonP(sk3) = true,
inference(orient,[status(thm)],[t2919]) ).
cnf(t3294,plain,
sk3 = ifeq(true,true,ifeq(true,true,cons(skaf44(sk3),nil),sk3),sk3),
inference(step,[status(thm)],[t1540,t295]) ).
cnf(t3295,plain,
sk3 = ifeq(true,true,cons(skaf44(sk3),nil),sk3),
inference(step,[status(thm)],[t3294,t286]) ).
cnf(t3296,plain,
sk3 = cons(skaf44(sk3),nil),
inference(step,[status(thm)],[t3295,t286]) ).
cnf(t1569,plain,
cons(skaf44(sk3),nil) = sk3,
inference(orient,[status(thm)],[t3296]) ).
cnf(t1883,plain,
true = or(not(eq(sk3,nil)),or(not(ssItem(skaf44(sk3))),not(ssList(nil)))),
inference(cp,[status(thm)],[t1835,t1569]) ).
cnf(f46,axiom,
ssItem(skaf44(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f46_nnf,plain,
! [U] : ssItem(skaf44(U)),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [U] : ssItem(skaf44(U)),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
ssItem(skaf44(X0)),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(t27,plain,
ssItem(skaf44(X1)) = true,
inference(equality_encoding,[status(esa)],[c46]) ).
cnf(t244,plain,
ssItem(skaf44(X1)) = true,
inference(orient,[status(thm)],[t27]) ).
cnf(t3359,plain,
true = or(not(eq(sk3,nil)),or(not(true),not(ssList(nil)))),
inference(step,[status(thm)],[t1883,t244]) ).
cnf(t3360,plain,
true = or(not(eq(sk3,nil)),or(false,not(ssList(nil)))),
inference(step,[status(thm)],[t3359,t225]) ).
cnf(t3361,plain,
true = or(not(eq(sk3,nil)),not(ssList(nil))),
inference(step,[status(thm)],[t3360,t241]) ).
cnf(t3362,plain,
true = or(not(eq(sk3,nil)),not(true)),
inference(step,[status(thm)],[t3361,t229]) ).
cnf(t3363,plain,
true = or(not(eq(sk3,nil)),false),
inference(step,[status(thm)],[t3362,t225]) ).
cnf(t3364,plain,
true = not(eq(sk3,nil)),
inference(step,[status(thm)],[t3363,t239]) ).
cnf(t1884,plain,
not(eq(sk3,nil)) = true,
inference(orient,[status(thm)],[t3364]) ).
cnf(t1885,plain,
false = ifeq(true,true,eq(sk3,nil),false),
inference(cp,[status(thm)],[t288,t1884]) ).
cnf(t3365,plain,
false = eq(sk3,nil),
inference(step,[status(thm)],[t1885,t286]) ).
cnf(t1886,plain,
eq(sk3,nil) = false,
inference(orient,[status(thm)],[t3365]) ).
cnf(t3598,plain,
true = false,
inference(step,[status(thm)],[t3597,t1886]) ).
cnf(t2821,plain,
false = true,
inference(orient,[status(thm)],[t3598]) ).
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(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(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c10,c53,c62,c70,c97,c98,c109,c110,c113,c114,c116,c178,c184,c194]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2821]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/10.43 % Computer : n020.cluster.edu
% 0.17/10.43 % Model : x86_64 x86_64
% 0.17/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.43 % Memory : 8046.5625MB
% 0.17/10.43 % OS : Linux 6.8.0-71-generic
% 0.17/10.43 % CPULimit : 300
% 0.17/10.43 % WCLimit : 300
% 0.17/10.43 % DateTime : Thu Sep 24 16:33:43 UTC 2026
% 0.17/10.44 % CPUTime :
% 0.17/10.44 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 52.12/17.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.12/17.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------