%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 07:54:32 AM UTC 2026
% Result : Unsatisfiable 8.12s 6.58s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm147_1,negated_conjecture,
( ~ 'a$utruth'(implies(X1,X0))
| ~ 'a$utruth'(X1)
| 'a$utruth'(X0) ) ).
cnf(thm147_2,negated_conjecture,
'a$utruth'(implies(X0,implies(X1,X0))) ).
cnf(thm147_3,negated_conjecture,
'a$utruth'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))) ).
cnf(thm147_5,negated_conjecture,
~ 'a$utruth'(implies(sk1,sk1)) ).
cnf(c0,plain,
( ~ 'a$utruth'(implies(X1,X0))
| ~ 'a$utruth'(X1)
| 'a$utruth'(X0) ),
inference(clausification,[status(esa)],[thm147_1]) ).
cnf(c1,plain,
'a$utruth'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[thm147_2]) ).
cnf(c2,plain,
'a$utruth'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(clausification,[status(esa)],[thm147_3]) ).
cnf(c4,plain,
~ 'a$utruth'(implies(sk1,sk1)),
inference(clausification,[status(esa)],[thm147_5]) ).
cnf(d0,plain,
( ~ 'a$utruth'(implies(X0,implies(X1,X2)))
| 'a$utruth'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'a$utruth'(implies(X0,X1))
| 'a$utruth'(implies(X0,X2))
| ~ 'a$utruth'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'a$utruth'(implies(X0,X1))
| 'a$utruth'(implies(X0,X0)) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'a$utruth'(implies(X0,X0)),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n010.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 22:29:06 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.12/6.58 % SZS status Unsatisfiable for theBenchmark.p
% 8.12/6.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------