%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 03:06:01 PM UTC 2026
% Result : Unsatisfiable 27.34s 3.99s
% Output : Proof 27.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 22 unt; 0 def)
% Number of atoms : 130 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 84 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f190,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/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/sandbox/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(f191,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
segmentP(sk4,sk3),
inference(nnf_transformation,[status(thm)],[f191]) ).
cnf(c191,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(esa)],[f191_nnf]) ).
cnf(p200,plain,
segmentP(sk4,sk1),
inference(superposition,[status(thm)],[c190,c191]) ).
cnf(p204,plain,
segmentP(sk2,sk1),
inference(superposition,[status(thm)],[c189,p200]) ).
cnf(f194,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
inference(nnf_transformation,[status(thm)],[f194]) ).
fof(f194_sk,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
inference(skolemisation,[status(esa)],[f194_nnf]) ).
cnf(c194,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
inference(cnf_transformation,[status(esa)],[f194_sk]) ).
cnf(p209,plain,
( ~ totalorderedP(sk1)
| ssList(sk5) ),
inference(resolution,[status(thm)],[p204,c194]) ).
cnf(f192,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
totalorderedP(sk3),
inference(nnf_transformation,[status(thm)],[f192]) ).
cnf(c192,plain,
totalorderedP(sk3),
inference(cnf_transformation,[status(esa)],[f192_nnf]) ).
cnf(p199,plain,
totalorderedP(sk1),
inference(superposition,[status(thm)],[c190,c192]) ).
cnf(p211,plain,
ssList(sk5),
inference(resolution,[status(thm)],[p209,p199]) ).
cnf(f193,negated_conjecture,
( ~ totalorderedP(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
! [A] :
( ~ totalorderedP(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ ssList(A) ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
! [A] :
( ~ totalorderedP(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ ssList(A) ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( ~ totalorderedP(X0)
| ~ segmentP(X0,sk3)
| ~ segmentP(sk4,X0)
| ~ neq(sk3,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(p212,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ neq(sk3,sk5) ),
inference(resolution,[status(thm)],[p211,c193]) ).
cnf(p219,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ neq(sk1,sk5) ),
inference(superposition,[status(thm)],[c190,p212]) ).
cnf(f195,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f195_nnf,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(nnf_transformation,[status(thm)],[f195]) ).
fof(f195_sk,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(skolemisation,[status(esa)],[f195_nnf]) ).
cnf(c195,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(cnf_transformation,[status(esa)],[f195_sk]) ).
cnf(p208,plain,
( ~ totalorderedP(sk1)
| neq(sk1,sk5) ),
inference(resolution,[status(thm)],[p204,c195]) ).
cnf(p215,plain,
neq(sk1,sk5),
inference(resolution,[status(thm)],[p208,p199]) ).
cnf(p221,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5) ),
inference(resolution,[status(thm)],[p219,p215]) ).
cnf(p223,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk2,sk5) ),
inference(superposition,[status(thm)],[c189,p221]) ).
cnf(f196,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(p207,plain,
( ~ totalorderedP(sk1)
| segmentP(sk2,sk5) ),
inference(resolution,[status(thm)],[p204,c196]) ).
cnf(p214,plain,
segmentP(sk2,sk5),
inference(resolution,[status(thm)],[p207,p199]) ).
cnf(p224,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk3) ),
inference(resolution,[status(thm)],[p223,p214]) ).
cnf(p225,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk1) ),
inference(superposition,[status(thm)],[c190,p224]) ).
cnf(f197,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f197_nnf,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(nnf_transformation,[status(thm)],[f197]) ).
fof(f197_sk,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(skolemisation,[status(esa)],[f197_nnf]) ).
cnf(c197,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(cnf_transformation,[status(esa)],[f197_sk]) ).
cnf(p206,plain,
( ~ totalorderedP(sk1)
| segmentP(sk5,sk1) ),
inference(resolution,[status(thm)],[p204,c197]) ).
cnf(p213,plain,
segmentP(sk5,sk1),
inference(resolution,[status(thm)],[p206,p199]) ).
cnf(p226,plain,
~ totalorderedP(sk5),
inference(resolution,[status(thm)],[p225,p213]) ).
cnf(f198,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(p205,plain,
( ~ totalorderedP(sk1)
| totalorderedP(sk5) ),
inference(resolution,[status(thm)],[p204,c198]) ).
cnf(p210,plain,
totalorderedP(sk5),
inference(resolution,[status(thm)],[p205,p199]) ).
cnf(p228,plain,
$false,
inference(resolution,[status(thm)],[p226,p210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 17:45:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 27.34/3.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.34/3.99 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------