%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC054-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 03:05:13 PM UTC 2026
% Result : Unsatisfiable 27.30s 3.94s
% Output : Proof 27.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 18 unt; 0 def)
% Number of atoms : 191 ( 60 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 204 ( 98 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f192,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(p213,plain,
( ~ neq(sk2,nil)
| ssList(sk5) ),
inference(superposition,[status(thm)],[c189,c192]) ).
cnf(f196,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
( neq(sk2,nil)
| nil = sk2 ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
( neq(sk2,nil)
| nil = sk2 ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( neq(sk2,nil)
| nil = sk2 ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(p214,plain,
( nil = sk2
| ssList(sk5) ),
inference(resolution,[status(thm)],[p213,c196]) ).
cnf(p216,plain,
( nil = sk4
| ssList(sk5) ),
inference(superposition,[status(thm)],[p214,c189]) ).
cnf(f191,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
( nil != sk4
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
( nil != sk4
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(p218,plain,
( nil = sk3
| ssList(sk5) ),
inference(resolution,[status(thm)],[p216,c191]) ).
cnf(p224,plain,
( nil = sk1
| ssList(sk5) ),
inference(superposition,[status(thm)],[c190,p218]) ).
cnf(f198,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(p229,plain,
( neq(sk2,nil)
| ssList(sk5) ),
inference(resolution,[status(thm)],[p224,c198]) ).
cnf(p230,plain,
( ssList(sk5)
| ssList(sk5) ),
inference(resolution,[status(thm)],[p229,p213]) ).
cnf(p231,plain,
ssList(sk5),
inference(factoring,[status(thm)],[p230]) ).
cnf(f197,negated_conjecture,
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f197_nnf,plain,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil = sk2 ),
inference(nnf_transformation,[status(thm)],[f197]) ).
fof(f197_sk,plain,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil = sk2 ),
inference(skolemisation,[status(esa)],[f197_nnf]) ).
cnf(c197,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
inference(cnf_transformation,[status(esa)],[f197_sk]) ).
cnf(p233,plain,
( ~ segmentP(sk1,sk5)
| ~ segmentP(sk2,sk5)
| ~ neq(sk5,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[p231,c197]) ).
cnf(f193,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(p211,plain,
( ~ neq(sk2,nil)
| neq(sk5,nil) ),
inference(superposition,[status(thm)],[c189,c193]) ).
cnf(p236,plain,
( nil = sk2
| neq(sk5,nil) ),
inference(resolution,[status(thm)],[p211,c196]) ).
cnf(p241,plain,
( nil = sk2
| ~ segmentP(sk1,sk5)
| ~ segmentP(sk2,sk5)
| nil = sk2 ),
inference(resolution,[status(thm)],[p233,p236]) ).
cnf(p245,plain,
( ~ segmentP(sk1,sk5)
| ~ segmentP(sk2,sk5)
| nil = sk2 ),
inference(factoring,[status(thm)],[p241]) ).
cnf(f194,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
inference(nnf_transformation,[status(thm)],[f194]) ).
fof(f194_sk,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
inference(skolemisation,[status(esa)],[f194_nnf]) ).
cnf(c194,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
inference(cnf_transformation,[status(esa)],[f194_sk]) ).
cnf(p210,plain,
( ~ neq(sk2,nil)
| segmentP(sk4,sk5) ),
inference(superposition,[status(thm)],[c189,c194]) ).
cnf(p235,plain,
( nil = sk2
| segmentP(sk4,sk5) ),
inference(resolution,[status(thm)],[p210,c196]) ).
cnf(p238,plain,
( nil = sk2
| segmentP(sk2,sk5) ),
inference(superposition,[status(thm)],[c189,p235]) ).
cnf(p246,plain,
( nil = sk2
| ~ segmentP(sk1,sk5)
| nil = sk2 ),
inference(resolution,[status(thm)],[p245,p238]) ).
cnf(p247,plain,
( ~ segmentP(sk1,sk5)
| nil = sk2 ),
inference(factoring,[status(thm)],[p246]) ).
cnf(f195,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f195_nnf,plain,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
inference(nnf_transformation,[status(thm)],[f195]) ).
fof(f195_sk,plain,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
inference(skolemisation,[status(esa)],[f195_nnf]) ).
cnf(c195,plain,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
inference(cnf_transformation,[status(esa)],[f195_sk]) ).
cnf(p209,plain,
( ~ neq(sk2,nil)
| segmentP(sk3,sk5) ),
inference(superposition,[status(thm)],[c189,c195]) ).
cnf(p234,plain,
( nil = sk2
| segmentP(sk3,sk5) ),
inference(resolution,[status(thm)],[p209,c196]) ).
cnf(p237,plain,
( nil = sk2
| segmentP(sk1,sk5) ),
inference(superposition,[status(thm)],[c190,p234]) ).
cnf(p249,plain,
( nil = sk2
| nil = sk2 ),
inference(resolution,[status(thm)],[p247,p237]) ).
cnf(p250,plain,
nil = sk2,
inference(factoring,[status(thm)],[p249]) ).
cnf(p208,plain,
( nil != sk2
| nil = sk3 ),
inference(superposition,[status(thm)],[c189,c191]) ).
cnf(p252,plain,
nil = sk3,
inference(resolution,[status(thm)],[p250,p208]) ).
cnf(p259,plain,
sk1 = nil,
inference(superposition,[status(thm)],[p252,c190]) ).
cnf(p251,plain,
nil = sk4,
inference(superposition,[status(thm)],[p250,c189]) ).
cnf(p256,plain,
sk2 = nil,
inference(superposition,[status(thm)],[p251,c189]) ).
cnf(f199,negated_conjecture,
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f199_nnf,plain,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil != sk1 ),
inference(nnf_transformation,[status(thm)],[f199]) ).
fof(f199_sk,plain,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil != sk1 ),
inference(skolemisation,[status(esa)],[f199_nnf]) ).
cnf(c199,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
inference(cnf_transformation,[status(esa)],[f199_sk]) ).
cnf(p258,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(nil,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
inference(demodulation,[status(thm)],[p256,c199]) ).
cnf(p261,plain,
( ~ segmentP(nil,X0)
| ~ segmentP(nil,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != nil ),
inference(demodulation,[status(thm)],[p259,p258]) ).
cnf(p267,plain,
( ~ segmentP(nil,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != nil ),
inference(factoring,[status(thm)],[p261]) ).
cnf(p268,plain,
( ~ segmentP(nil,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[p267]) ).
cnf(p275,plain,
( ~ segmentP(nil,sk5)
| ~ neq(sk5,nil) ),
inference(resolution,[status(thm)],[p268,p231]) ).
cnf(p257,plain,
( neq(nil,nil)
| nil != sk1 ),
inference(demodulation,[status(thm)],[p256,c198]) ).
cnf(p260,plain,
( neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[p259,p257]) ).
cnf(p262,plain,
neq(nil,nil),
inference(equality_resolution,[status(thm)],[p260]) ).
cnf(p255,plain,
( ~ neq(nil,nil)
| neq(sk5,nil) ),
inference(superposition,[status(thm)],[p250,p211]) ).
cnf(p265,plain,
neq(sk5,nil),
inference(resolution,[status(thm)],[p262,p255]) ).
cnf(p285,plain,
~ segmentP(nil,sk5),
inference(resolution,[status(thm)],[p275,p265]) ).
cnf(p253,plain,
( ~ neq(nil,nil)
| segmentP(sk3,sk5) ),
inference(superposition,[status(thm)],[p250,p209]) ).
cnf(p263,plain,
segmentP(sk3,sk5),
inference(resolution,[status(thm)],[p262,p253]) ).
cnf(p266,plain,
segmentP(nil,sk5),
inference(superposition,[status(thm)],[p252,p263]) ).
cnf(p286,plain,
$false,
inference(resolution,[status(thm)],[p285,p266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 16:07:59 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.30/3.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.30/3.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------