%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT270-2 : 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 : n002.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 07:48:03 AM UTC 2026
% Result : Unsatisfiable 8.52s 2.03s
% Output : CNFRefutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$ua','v$uA','t$ua') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$ub','v$uA','t$ua') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$ulessequals'('v$uS','c$uTarski$uOinterval'('v$ur','v$ua','v$ub','t$ua'),'tc$uset'('t$ua')) ).
cnf(cls_conjecture_6,negated_conjecture,
~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ).
cnf(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,axiom,
( 'c$ulessequals'(X2,'v$uA','tc$uset'('t$ua'))
| ~ 'c$ulessequals'(X2,'c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua'),'tc$uset'('t$ua'))
| ~ 'c$uin'(X1,'v$uA','t$ua')
| ~ 'c$uin'(X0,'v$uA','t$ua') ) ).
cnf(c0,plain,
'c$uin'('v$ua','v$uA','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('v$ub','v$uA','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$ulessequals'('v$uS','c$uTarski$uOinterval'('v$ur','v$ua','v$ub','t$ua'),'tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c4,plain,
( 'c$ulessequals'(X2,'v$uA','tc$uset'('t$ua'))
| ~ 'c$ulessequals'(X2,'c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua'),'tc$uset'('t$ua'))
| ~ 'c$uin'(X1,'v$uA','t$ua')
| ~ 'c$uin'(X0,'v$uA','t$ua') ),
inference(clausification,[status(esa)],[cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0]) ).
cnf(d0,plain,
( 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'('v$ub','v$uA','t$ua')
| ~ 'c$uin'('v$ua','v$uA','t$ua') ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
( 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'('v$ub','v$uA','t$ua') ),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT270-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.59 % Computer : n002.cluster.edu
% 0.09/0.59 % Model : x86_64 x86_64
% 0.09/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.59 % Memory : 8046.5625MB
% 0.09/0.59 % OS : Linux 6.8.0-71-generic
% 0.09/0.59 % CPULimit : 300
% 0.09/0.59 % WCLimit : 300
% 0.09/0.59 % DateTime : Fri Sep 25 20:25:09 UTC 2026
% 0.09/0.59 % CPUTime :
% 0.09/0.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.52/2.03 % SZS status Unsatisfiable for theBenchmark.p
% 8.52/2.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------