%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET850-1 : 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 : n016.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 08:33:25 AM UTC 2026
% Result : Unsatisfiable 33.35s 24.69s
% Output : CNFRefutation 33.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
'c$ulessequals'(X0,'c$uZorn$uOsucc'(X1,X0,X2),'tc$uset'('tc$uset'(X2))) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('v$ux','v$uy','tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$ulessequals'('v$ux','c$uZorn$uOsucc'('v$uS','v$uy','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(c0,plain,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Osubset__trans_0]) ).
cnf(c1,plain,
'c$ulessequals'(X0,'c$uZorn$uOsucc'(X1,X0,X2),'tc$uset'('tc$uset'(X2))),
inference(clausification,[status(esa)],[cls_Zorn_OAbrial__axiom1_0]) ).
cnf(c2,plain,
'c$ulessequals'('v$ux','v$uy','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c3,plain,
~ 'c$ulessequals'('v$ux','c$uZorn$uOsucc'('v$uS','v$uy','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
( 'c$ulessequals'('v$ux',X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$uy',X0,'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'c$ulessequals'('v$ux','c$uZorn$uOsucc'(X0,'v$uy','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET850-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.03/20.41 % CPULimit : 300
% 0.03/20.41 % WCLimit : 300
% 0.03/20.41 % DateTime : Sat Sep 26 08:21:57 UTC 2026
% 0.03/20.41 % CPUTime :
% 0.03/20.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.35/24.69 % SZS status Unsatisfiable for theBenchmark.p
% 33.35/24.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------