%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC254-1 : 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 : n020.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 5.21s 6.18s
% Output : CNFRefutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 13 unt; 1 nHn; 26 RR)
% Number of literals : 46 ( 12 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
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_14,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ) ).
cnf(co1_18,negated_conjecture,
( ~ neq(sk4,nil)
| ~ singletonP(sk1) ) ).
cnf(clause116,axiom,
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
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(c13,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c15,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c17,plain,
( ~ neq(sk4,nil)
| ~ singletonP(sk1) ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c133,plain,
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
inference(clausification,[status(esa)],[clause116]) ).
cnf(d0,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(demodulation,[status(thm)],[c15,c5]) ).
cnf(d1,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d2,plain,
cons(sk5,nil) = sk1,
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( singletonP(X0)
| ~ ssItem(sk5)
| ~ ssList(X0)
| sk1 != X0 ),
inference(superposition,[status(thm)],[d2,c133]) ).
cnf(d4,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[d1,c13]) ).
cnf(d5,plain,
( singletonP(X0)
| ~ ssList(X0)
| sk1 != X0 ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( singletonP(sk1)
| ~ ssList(sk1) ),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
singletonP(sk1),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
~ singletonP(sk1),
inference(resolution,[status(thm)],[d1,c17]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC254-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 12:38:03 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.21/6.18 % SZS status Unsatisfiable for theBenchmark.p
% 5.21/6.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------