%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:33:26 AM UTC 2026
% Result : Unsatisfiable 55.61s 13.58s
% Output : CNFRefutation 55.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 3 nHn; 14 RR)
% Number of literals : 21 ( 5 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
'c$ulessequals'('v$un','c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$un','tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_4,negated_conjecture,
'v$un' != 'c$uUnion'('v$uY','tc$uset'('t$ua')) ).
cnf(cls_Set_OpsubsetE_0,axiom,
( ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$uless'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Set_OpsubsetI_0,axiom,
( X0 = X1
| 'c$uless'(X0,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(c11,plain,
'c$ulessequals'('v$un','c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c12,plain,
'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$un','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c13,plain,
'v$un' != 'c$uUnion'('v$uY','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c315,plain,
( ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$uless'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OpsubsetE_0]) ).
cnf(c317,plain,
( X0 = X1
| 'c$uless'(X0,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OpsubsetI_0]) ).
cnf(d0,plain,
( 'c$uless'('v$un','c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua')))
| 'v$un' = 'c$uUnion'('v$uY','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[c317,c11]) ).
cnf(d1,plain,
'c$uless'('v$un','c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
~ 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$un','tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[d1,c315]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c12,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.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 08:24:21 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.61/13.58 % SZS status Unsatisfiable for theBenchmark.p
% 55.61/13.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------