%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC351-1 : 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 : n007.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 08:55:04 AM UTC 2026
% Result : Unsatisfiable 40.68s 5.73s
% Output : CNFRefutation 40.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 16 unt; 0 nHn; 24 RR)
% Number of literals : 45 ( 7 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
ssList(sk5) ).
cnf(co1_9,negated_conjecture,
app(sk3,sk5) = sk4 ).
cnf(co1_12,negated_conjecture,
~ frontsegP(sk2,sk1) ).
cnf(clause61,axiom,
( frontsegP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause137,axiom,
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c7,plain,
ssList(sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
app(sk3,sk5) = sk4,
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c11,plain,
~ frontsegP(sk2,sk1),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c73,plain,
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause61]) ).
cnf(c149,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X0)
| frontsegP(app(X1,X2),X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause137]) ).
cnf(d0,plain,
app(sk3,sk5) = sk2,
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
( ~ frontsegP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk5)
| frontsegP(sk2,X0) ),
inference(superposition,[status(thm)],[d0,c149]) ).
cnf(d2,plain,
( ~ frontsegP(sk3,X0)
| frontsegP(sk2,X0)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
( ~ frontsegP(sk3,X0)
| frontsegP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( ~ ssList(sk3)
| frontsegP(sk2,sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[d3,c73]) ).
cnf(d5,plain,
frontsegP(sk2,sk3),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
~ frontsegP(sk2,sk3),
inference(demodulation,[status(thm)],[c11,c5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC351-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n007.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sat Sep 26 12:49:38 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.68/5.73 % SZS status Unsatisfiable for theBenchmark.p
% 40.68/5.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------