%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC408-1 : 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 : n006.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 08:55:17 AM UTC 2026
% Result : Unsatisfiable 30.86s 5.52s
% Output : CNFRefutation 30.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 18 unt; 0 nHn; 23 RR)
% Number of literals : 38 ( 7 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_4,negated_conjecture,
ssList(sk4) ).
cnf(co1_5,negated_conjecture,
app(sk4,sk4) = sk3 ).
cnf(co1_6,negated_conjecture,
sk2 = sk4 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
ssItem(sk5) ).
cnf(co1_9,negated_conjecture,
memberP(sk2,sk5) ).
cnf(co1_10,negated_conjecture,
~ memberP(sk1,sk5) ).
cnf(clause140,axiom,
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ) ).
cnf(c3,plain,
ssList(sk4),
inference(clausification,[status(esa)],[co1_4]) ).
cnf(c4,plain,
app(sk4,sk4) = sk3,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssItem(sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
memberP(sk2,sk5),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
~ memberP(sk1,sk5),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c149,plain,
( ~ ssList(X1)
| memberP(app(X1,X0),X2)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause140]) ).
cnf(d0,plain,
memberP(sk4,sk5),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
app(sk4,sk4) = sk1,
inference(demodulation,[status(thm)],[c4,c6]) ).
cnf(d2,plain,
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| memberP(sk1,X0) ),
inference(superposition,[status(thm)],[d1,c149]) ).
cnf(d3,plain,
( ~ memberP(sk4,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
( memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
memberP(sk1,sk5),
inference(resolution,[status(thm)],[c7,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c9,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC408-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 12:59:27 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.86/5.52 % SZS status Unsatisfiable for theBenchmark.p
% 30.86/5.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------