%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG341-1 : 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 : n001.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 06:48:21 AM UTC 2026
% Result : Unsatisfiable 70.87s 9.44s
% Output : CNFRefutation 70.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__le__trans_0,axiom,
( ~ 'c$ulessequals'(X0,X2,'tc$uRealDef$uOreal')
| ~ 'c$ulessequals'(X2,X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ) ).
cnf(cls_CHAINED_0,axiom,
'c$ulessequals'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uz','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal') ).
cnf(cls_CHAINED_0_01,axiom,
'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uz','tc$uComplex$uOcomplex'),'v$ur','tc$uRealDef$uOreal') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ur','tc$uRealDef$uOreal') ).
cnf(c464,plain,
( ~ 'c$ulessequals'(X0,X2,'tc$uRealDef$uOreal')
| ~ 'c$ulessequals'(X2,X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_real__le__trans_0]) ).
cnf(c471,plain,
'c$ulessequals'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uz','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c472,plain,
'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uz','tc$uComplex$uOcomplex'),'v$ur','tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(c473,plain,
~ 'c$ulessequals'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ur','tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'(X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uz','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,'v$ur','tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c464,c472]) ).
cnf(d1,plain,
'c$ulessequals'('c$uHOL$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$ur','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d0,c471]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c473,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG341-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n001.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 21:59:13 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.87/9.44 % SZS status Unsatisfiable for theBenchmark.p
% 70.87/9.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------