%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC103-1 : 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 : n016.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 08:54:16 AM UTC 2026
% Result : Unsatisfiable 14.65s 2.55s
% Output : CNFRefutation 14.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 11 unt; 0 nHn; 20 RR)
% Number of literals : 29 ( 4 equ; 15 neg)
% Maximal clause size : 2 ( 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) ).
cnf(co1_9,negated_conjecture,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil) ) ).
cnf(co1_10,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ) ).
cnf(co1_11,negated_conjecture,
( frontsegP(sk4,sk3)
| ~ neq(sk4,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(c8,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(d0,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk3,nil) ),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( ~ frontsegP(sk4,sk1)
| ~ neq(sk3,nil) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(demodulation,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d4,plain,
neq(sk3,nil),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
~ frontsegP(sk4,sk3),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
frontsegP(sk4,sk3),
inference(resolution,[status(thm)],[d3,c10]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC103-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 12:20:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.65/2.55 % SZS status Unsatisfiable for theBenchmark.p
% 14.65/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------