%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Sun Sep 27 08:53:53 AM UTC 2026
% Result : Unsatisfiable 17.49s 2.60s
% Output : CNFRefutation 17.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 12 unt; 4 nHn; 30 RR)
% Number of literals : 61 ( 4 equ; 31 neg)
% Maximal clause size : 3 ( 2 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)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
duplicatefreeP(sk3) ).
cnf(co1_8,negated_conjecture,
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ) ).
cnf(co1_9,negated_conjecture,
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_10,negated_conjecture,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ) ).
cnf(co1_11,negated_conjecture,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ) ).
cnf(co1_12,negated_conjecture,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ) ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
duplicatefreeP(sk3),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(d0,plain,
duplicatefreeP(sk1),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d1,plain,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
inference(resolution,[status(thm)],[d0,c11]) ).
cnf(d2,plain,
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d3,plain,
( ~ ssItem(X0)
| ~ memberP(sk2,X0)
| memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d5,plain,
( ~ ssItem(sk5)
| memberP(sk1,sk5)
| memberP(sk1,sk5) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d7,plain,
memberP(sk1,sk5),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
~ memberP(sk2,sk5),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( ~ ssItem(X0)
| memberP(sk4,X0)
| ~ memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d10,plain,
( ~ ssItem(X0)
| memberP(sk2,X0)
| ~ memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
( ~ ssItem(sk5)
| memberP(sk2,sk5) ),
inference(resolution,[status(thm)],[d7,d10]) ).
cnf(d12,plain,
memberP(sk2,sk5),
inference(resolution,[status(thm)],[d6,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.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 : Sat Sep 26 12:04:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.49/2.60 % SZS status Unsatisfiable for theBenchmark.p
% 17.49/2.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------