%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC406-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 17.53s 2.71s
% Output : CNFRefutation 17.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 17 RR)
% Number of literals : 22 ( 4 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_11,negated_conjecture,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_13,negated_conjecture,
ssItem(sk6) ).
cnf(co1_14,negated_conjecture,
memberP(sk1,sk6) ).
cnf(co1_15,negated_conjecture,
~ memberP(sk2,sk6) ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c10,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c12,plain,
ssItem(sk6),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
memberP(sk1,sk6),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
~ memberP(sk2,sk6),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(d0,plain,
memberP(sk3,sk6),
inference(demodulation,[status(thm)],[c13,c5]) ).
cnf(d1,plain,
( memberP(sk4,sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
memberP(sk4,sk6),
inference(resolution,[status(thm)],[c12,d1]) ).
cnf(d3,plain,
~ memberP(sk4,sk6),
inference(demodulation,[status(thm)],[c14,c4]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC406-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 13:02:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.53/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 17.53/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------