%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET855-2 : 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 : n015.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 9.65s 1.81s
% Output : CNFRefutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 17 ( 7 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__antisym_0,axiom,
( X1 = X0
| ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
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$ua')) ).
cnf(c0,plain,
( X1 = X0
| ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Osubset__antisym_0]) ).
cnf(c1,plain,
'c$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(c2,plain,
'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$un','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c3,plain,
'v$un' != 'c$uUnion'('v$uY','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'('c$uUnion'('v$uY','tc$uset'('t$ua')),'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uUnion'('v$uY','tc$uset'('t$ua')) = 'v$un' ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'c$uUnion'('v$uY','tc$uset'('t$ua')) = 'v$un',
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
'v$un' != 'v$un',
inference(demodulation,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET855-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 08:25:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.65/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 9.65/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------