%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC256-1 : 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 : n017.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 10.26s 18.28s
% Output : CNFRefutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 15 unt; 6 nHn; 32 RR)
% Number of literals : 64 ( 18 equ; 33 neg)
% Maximal clause size : 4 ( 2 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 : 16 ( 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_8,negated_conjecture,
~ singletonP(sk1) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| ssItem(sk5) ) ).
cnf(co1_11,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause86,axiom,
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
cnf(clause116,axiom,
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ) ).
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(c7,plain,
~ singletonP(sk1),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil = sk4
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c10,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c21,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c99,plain,
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause86]) ).
cnf(c128,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[clause115]) ).
cnf(c129,plain,
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
inference(clausification,[status(esa)],[clause116]) ).
cnf(d0,plain,
( ~ neq(X0,X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c128]) ).
cnf(d1,plain,
( ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil)) ),
inference(equality_resolution,[status(thm)],[c129]) ).
cnf(d2,plain,
( ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(resolution,[status(thm)],[d1,c99]) ).
cnf(d3,plain,
( ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(resolution,[status(thm)],[c21,d2]) ).
cnf(d4,plain,
( nil = sk4
| ~ ssItem(sk5)
| singletonP(sk3) ),
inference(superposition,[status(thm)],[c10,d3]) ).
cnf(d5,plain,
~ singletonP(sk3),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d6,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d8,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d9,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c21,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC256-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.39 % Computer : n017.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sat Sep 26 12:33:14 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.26/18.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.26/18.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------