%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC333-1 : 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 : n003.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 08:55:01 AM UTC 2026
% Result : Unsatisfiable 29.05s 4.18s
% Output : CNFRefutation 29.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 41 ( 17 unt; 0 nHn; 41 RR)
% Number of literals : 96 ( 4 equ; 65 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
segmentP(sk4,sk3) ).
cnf(co1_8,negated_conjecture,
totalorderedP(sk3) ).
cnf(co1_9,negated_conjecture,
( ~ totalorderedP(X0)
| ~ segmentP(X0,sk3)
| ~ segmentP(sk4,X0)
| ~ neq(sk3,X0)
| ~ ssList(X0) ) ).
cnf(co1_10,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ) ).
cnf(co1_11,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ) ).
cnf(co1_12,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ) ).
cnf(co1_13,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ) ).
cnf(co1_14,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(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,
segmentP(sk4,sk3),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
totalorderedP(sk3),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ totalorderedP(X0)
| ~ neq(sk3,X0)
| ~ segmentP(X0,sk3)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(d0,plain,
( ~ neq(sk3,X0)
| ~ totalorderedP(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk1)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( ~ neq(sk3,X0)
| ~ totalorderedP(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(X0,sk1)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ neq(sk1,X0)
| ~ totalorderedP(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(X0,sk1)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
segmentP(sk2,sk3),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d4,plain,
segmentP(sk2,sk1),
inference(demodulation,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
( neq(sk1,sk5)
| ~ totalorderedP(sk1) ),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk2,sk5)
| ~ segmentP(sk5,sk1)
| ~ ssList(sk5)
| ~ totalorderedP(sk1) ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
totalorderedP(sk1),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d8,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk1)
| ~ segmentP(sk2,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ totalorderedP(sk1)
| ssList(sk5) ),
inference(resolution,[status(thm)],[d4,c9]) ).
cnf(d10,plain,
ssList(sk5),
inference(resolution,[status(thm)],[d7,d9]) ).
cnf(d11,plain,
( ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk1)
| ~ segmentP(sk2,sk5) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( totalorderedP(sk5)
| ~ totalorderedP(sk1) ),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d13,plain,
totalorderedP(sk5),
inference(resolution,[status(thm)],[d7,d12]) ).
cnf(d14,plain,
( ~ segmentP(sk5,sk1)
| ~ segmentP(sk2,sk5) ),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( ~ totalorderedP(sk1)
| segmentP(sk2,sk5) ),
inference(resolution,[status(thm)],[d4,c11]) ).
cnf(d16,plain,
segmentP(sk2,sk5),
inference(resolution,[status(thm)],[d7,d15]) ).
cnf(d17,plain,
~ segmentP(sk5,sk1),
inference(resolution,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
( ~ totalorderedP(sk1)
| segmentP(sk5,sk1) ),
inference(resolution,[status(thm)],[d4,c12]) ).
cnf(d19,plain,
segmentP(sk5,sk1),
inference(resolution,[status(thm)],[d7,d18]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n003.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 12:51:09 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.05/4.18 % SZS status Unsatisfiable for theBenchmark.p
% 29.05/4.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------