%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG382-1 : 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 : 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 06:48:25 AM UTC 2026
% Result : Unsatisfiable 1.74s 8.48s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__mult__1_0,axiom,
'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),X0,'tc$uRealDef$uOreal') = X0 ).
cnf(cls_CHAINED_0,axiom,
'c$ulessequals'('c$uHOL$uOplus$u$uclass$uOplus'('v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uaa','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uz','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$uHOL$uOplus$u$uclass$uOplus'('v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uaa','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uz','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ).
cnf(c821,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),X0,'tc$uRealDef$uOreal') = X0,
inference(clausification,[status(esa)],[cls_real__mult__1_0]) ).
cnf(c840,plain,
'c$ulessequals'('c$uHOL$uOplus$u$uclass$uOplus'('v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uaa','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uz','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c841,plain,
~ 'c$ulessequals'('c$uHOL$uOplus$u$uclass$uOplus'('v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uaa','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uz','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$ulessequals'('c$uHOL$uOplus$u$uclass$uOplus'('v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('v$uaa','tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uz','tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(demodulation,[status(thm)],[c841,c821]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c840,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG382-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n005.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 21:56:17 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/8.48 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/8.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------