%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC328-1 : 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 : n013.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 08:55:00 AM UTC 2026
% Result : Unsatisfiable 22.65s 3.74s
% Output : CNFRefutation 22.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 24 ( 5 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
nil = sk3 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ) ).
cnf(clause1,axiom,
equalelemsP(nil) ).
cnf(clause56,axiom,
( segmentP(X0,nil)
| ~ ssList(X0) ) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
cnf(c4,plain,
nil = sk3,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
equalelemsP(nil),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c63,plain,
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause56]) ).
cnf(d0,plain,
sk1 = nil,
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d1,plain,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(nil) ),
inference(demodulation,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( ~ segmentP(sk2,nil)
| ~ equalelemsP(nil) ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ segmentP(sk2,nil),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
~ ssList(sk2),
inference(resolution,[status(thm)],[c63,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 12:48:06 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.65/3.74 % SZS status Unsatisfiable for theBenchmark.p
% 22.65/3.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------