%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 08:33:23 AM UTC 2026
% Result : Unsatisfiable 8.75s 2.51s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 3 unt; 4 nHn; 17 RR)
% Number of literals : 41 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$um','tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uin'(X0,'v$uY','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua'))) ) ).
cnf(cls_Set_OUnionE_0,axiom,
( 'c$uin'('c$uMain$uOUnionE$u$u1'(X0,X1,X2),X1,'tc$uset'(X2))
| ~ 'c$uin'(X0,'c$uUnion'(X1,X2),X2) ) ).
cnf(cls_Set_OUnionE_1,axiom,
( 'c$uin'(X0,'c$uMain$uOUnionE$u$u1'(X0,X1,X2),X2)
| ~ 'c$uin'(X0,'c$uUnion'(X1,X2),X2) ) ).
cnf(cls_Set_OsubsetD_0,axiom,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OsubsetI_0,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ) ).
cnf(cls_Set_OsubsetI_1,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ) ).
cnf(c0,plain,
~ 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$um','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c1,plain,
( ~ 'c$uin'(X0,'v$uY','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c2,plain,
( 'c$uin'('c$uMain$uOUnionE$u$u1'(X0,X1,X2),X1,'tc$uset'(X2))
| ~ 'c$uin'(X0,'c$uUnion'(X1,X2),X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnionE_0]) ).
cnf(c3,plain,
( 'c$uin'(X0,'c$uMain$uOUnionE$u$u1'(X0,X1,X2),X2)
| ~ 'c$uin'(X0,'c$uUnion'(X1,X2),X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnionE_1]) ).
cnf(c4,plain,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c5,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c6,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_1]) ).
cnf(d0,plain,
( 'c$ulessequals'('c$uMain$uOUnionE$u$u1'(X0,'v$uY','tc$uset'('t$ua')),'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( ~ 'c$uin'(X1,'c$uMain$uOUnionE$u$u1'(X0,'v$uY','tc$uset'('t$ua')),'tc$uset'('t$ua'))
| 'c$uin'(X1,'v$um','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ 'c$uin'(X0,'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'c$uUnion'('v$uY','tc$uset'('t$ua')),'tc$uset'('t$ua'))
| 'c$uin'(X0,'v$um','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uUnion'('v$uY','tc$uset'('t$ua')),X0,'tc$uset'('t$ua')),'v$um','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c0,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n011.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 26 08:20:28 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.75/2.51 % SZS status Unsatisfiable for theBenchmark.p
% 8.75/2.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------