%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC121-1 : 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 : n009.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 08:54:20 AM UTC 2026
% Result : Unsatisfiable 17.00s 2.95s
% Output : CNFRefutation 17.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 9 unt; 1 nHn; 23 RR)
% Number of literals : 40 ( 4 equ; 21 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 : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ) ).
cnf(co1_13,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ) ).
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,
neq(sk2,nil),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c11,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(d0,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk2,nil)
| ~ neq(sk1,nil) ),
inference(demodulation,[status(thm)],[c13,c4]) ).
cnf(d1,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ neq(sk4,nil)
| neq(sk1,nil) ),
inference(demodulation,[status(thm)],[c11,c5]) ).
cnf(d3,plain,
( ~ neq(sk2,nil)
| neq(sk1,nil) ),
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
neq(sk1,nil),
inference(resolution,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
~ segmentP(sk2,sk1),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( segmentP(sk4,sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c12,c4]) ).
cnf(d7,plain,
( segmentP(sk2,sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
( segmentP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
segmentP(sk2,sk1),
inference(resolution,[status(thm)],[c6,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC121-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 12:18:15 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.00/2.95 % SZS status Unsatisfiable for theBenchmark.p
% 17.00/2.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------