%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 03:05:03 PM UTC 2026
% Result : Unsatisfiable 25.79s 4.12s
% Output : Proof 25.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 88 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 87 ( 43 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f191,negated_conjecture,
duplicatefreeP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
duplicatefreeP(sk3),
inference(nnf_transformation,[status(thm)],[f191]) ).
cnf(c191,plain,
duplicatefreeP(sk3),
inference(cnf_transformation,[status(esa)],[f191_nnf]) ).
cnf(p197,plain,
duplicatefreeP(sk1),
inference(superposition,[status(thm)],[c190,c191]) ).
cnf(f194,negated_conjecture,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
inference(nnf_transformation,[status(thm)],[f194]) ).
fof(f194_sk,plain,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
inference(skolemisation,[status(esa)],[f194_nnf]) ).
cnf(c194,plain,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
inference(cnf_transformation,[status(esa)],[f194_sk]) ).
cnf(p199,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[p197,c194]) ).
cnf(f193,negated_conjecture,
( ~ memberP(sk4,A)
| memberP(sk3,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
! [A] :
( ~ memberP(sk4,A)
| memberP(sk3,A)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
! [A] :
( ~ memberP(sk4,A)
| memberP(sk3,A)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(p200,plain,
( ~ memberP(sk4,sk5)
| memberP(sk3,sk5) ),
inference(resolution,[status(thm)],[p199,c193]) ).
cnf(p211,plain,
( ~ memberP(sk2,sk5)
| memberP(sk3,sk5) ),
inference(superposition,[status(thm)],[c189,p200]) ).
cnf(f195,negated_conjecture,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f195_nnf,plain,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(nnf_transformation,[status(thm)],[f195]) ).
fof(f195_sk,plain,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(skolemisation,[status(esa)],[f195_nnf]) ).
cnf(c195,plain,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(cnf_transformation,[status(esa)],[f195_sk]) ).
cnf(p198,plain,
( memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(resolution,[status(thm)],[p197,c195]) ).
cnf(p216,plain,
( memberP(sk1,sk5)
| memberP(sk3,sk5) ),
inference(resolution,[status(thm)],[p211,p198]) ).
cnf(p219,plain,
( memberP(sk1,sk5)
| memberP(sk1,sk5) ),
inference(superposition,[status(thm)],[c190,p216]) ).
cnf(p221,plain,
memberP(sk1,sk5),
inference(factoring,[status(thm)],[p219]) ).
cnf(f192,negated_conjecture,
( ~ memberP(sk3,A)
| memberP(sk4,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
! [A] :
( ~ memberP(sk3,A)
| memberP(sk4,A)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
! [A] :
( ~ memberP(sk3,A)
| memberP(sk4,A)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(p201,plain,
( ~ memberP(sk3,sk5)
| memberP(sk4,sk5) ),
inference(resolution,[status(thm)],[p199,c192]) ).
cnf(p212,plain,
( ~ memberP(sk1,sk5)
| memberP(sk4,sk5) ),
inference(superposition,[status(thm)],[c190,p201]) ).
cnf(p222,plain,
memberP(sk4,sk5),
inference(resolution,[status(thm)],[p221,p212]) ).
cnf(p225,plain,
memberP(sk2,sk5),
inference(superposition,[status(thm)],[c189,p222]) ).
cnf(f196,negated_conjecture,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(p227,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5) ),
inference(resolution,[status(thm)],[p225,c196]) ).
cnf(p228,plain,
~ duplicatefreeP(sk1),
inference(resolution,[status(thm)],[p227,p221]) ).
cnf(p229,plain,
$false,
inference(resolution,[status(thm)],[p228,p197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 15:51:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.79/4.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.79/4.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------