%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG350-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 06:48:22 AM UTC 2026
% Result : Unsatisfiable 0.71s 3.55s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__less__def_0,axiom,
( ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ) ).
cnf(cls_Y_0,axiom,
( ~ hBOOL(hAPP('v$uP',X0))
| 'c$uHOL$uOord$u$uclass$uOless'(X0,'v$uY','tc$uRealDef$uOreal') ) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP('v$uP','v$uxa')) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$ulessequals'('v$uxa','v$uY','tc$uRealDef$uOreal') ).
cnf(c324,plain,
( ~ 'c$uHOL$uOord$u$uclass$uOless'(X0,X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_real__less__def_0]) ).
cnf(c337,plain,
( ~ hBOOL(hAPP('v$uP',X0))
| 'c$uHOL$uOord$u$uclass$uOless'(X0,'v$uY','tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_Y_0]) ).
cnf(c351,plain,
hBOOL(hAPP('v$uP','v$uxa')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c352,plain,
~ 'c$ulessequals'('v$uxa','v$uY','tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
'c$uHOL$uOord$u$uclass$uOless'('v$uxa','v$uY','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c337,c351]) ).
cnf(d1,plain,
'c$ulessequals'('v$uxa','v$uY','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d0,c324]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c352,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG350-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 21:55:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/3.55 % SZS status Unsatisfiable for theBenchmark.p
% 0.71/3.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------