%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC255-1 : 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 : n008.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 08:54:46 AM UTC 2026
% Result : Unsatisfiable 17.51s 2.63s
% Output : CNFRefutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 8 unt; 1 nHn; 16 RR)
% Number of literals : 24 ( 4 equ; 11 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)
| neq(sk2,nil) ) ).
cnf(co1_11,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| ~ singletonP(sk1) ) ).
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(c10,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ neq(sk4,nil)
| ~ singletonP(sk1) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(d0,plain,
( ~ singletonP(sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c11,c4]) ).
cnf(d1,plain,
~ singletonP(sk1),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( singletonP(sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d3,plain,
( singletonP(sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
singletonP(sk1),
inference(resolution,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC255-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 12:37:54 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.51/2.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.51/2.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------