%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC210-1 : 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 : n006.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 08:54:37 AM UTC 2026
% Result : Unsatisfiable 18.52s 3.20s
% Output : CNFRefutation 18.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 16 unt; 3 nHn; 28 RR)
% Number of literals : 45 ( 9 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 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_11,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(sk1,nil) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause11,axiom,
~ singletonP(nil) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
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(c10,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ neq(sk4,nil)
| ~ neq(sk1,nil) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c19,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c22,plain,
~ singletonP(nil),
inference(clausification,[status(esa)],[clause11]) ).
cnf(c111,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(d0,plain,
( ~ neq(sk2,nil)
| ~ neq(sk1,nil) ),
inference(demodulation,[status(thm)],[c11,c4]) ).
cnf(d1,plain,
~ neq(sk1,nil),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil ),
inference(resolution,[status(thm)],[c111,d1]) ).
cnf(d3,plain,
( ~ ssList(nil)
| sk1 = nil ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
sk1 = nil,
inference(resolution,[status(thm)],[c19,d3]) ).
cnf(d5,plain,
( singletonP(sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d6,plain,
( singletonP(sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
singletonP(sk1),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
singletonP(nil),
inference(demodulation,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c22,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC210-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 12:31:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.52/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 18.52/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------