%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG414-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 06:48:27 AM UTC 2026
% Result : Unsatisfiable 27.45s 7.41s
% Output : CNFRefutation 27.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 4 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'c$uPolynomial$uOpoly'('v$uds','c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ud','tc$uComplex$uOcomplex') ).
cnf(cls_CHAINED_0_01,axiom,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'c$uPolynomial$uOpoly'('v$uds','c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ud','tc$uComplex$uOcomplex') ).
cnf(c661,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'c$uPolynomial$uOpoly'('v$uds','c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') != 'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ud','tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c662,plain,
'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'c$uPolynomial$uOpoly'('v$uds','c$uRealVector$uOof$u$ureal'('v$ux','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex') = 'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ud','tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c661,c662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG414-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n005.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 21:58:47 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.45/7.41 % SZS status Unsatisfiable for theBenchmark.p
% 27.45/7.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------