%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG395-1 : 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 : n016.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 06:48:26 AM UTC 2026
% Result : Unsatisfiable 19.00s 6.57s
% Output : CNFRefutation 19.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_poly__minimum__modulus_0,axiom,
'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'(X0,'v$usko$u$uFundamental$u$uTheorem$u$uAlgebra$u$uMirabelle$u$uXpoly$u$uminimum$u$umodulus$u$u1'(X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'(X0,X1,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal') ).
cnf(cls_that_0,axiom,
( ~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('v$upa',X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('v$upa','v$usko$u$ulocal$u$uXthat$u$u1'(X0,'v$upa'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'v$uthesis' ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c734,plain,
'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'(X0,'v$usko$u$uFundamental$u$uTheorem$u$uAlgebra$u$uMirabelle$u$uXpoly$u$uminimum$u$umodulus$u$u1'(X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'(X0,X1,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_poly__minimum__modulus_0]) ).
cnf(c735,plain,
( ~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('v$upa',X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('v$upa','v$usko$u$ulocal$u$uXthat$u$u1'(X0,'v$upa'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c749,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('v$upa',X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('v$upa','v$usko$u$ulocal$u$uXthat$u$u1'(X0,'v$upa'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c749,c735]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG395-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 22:01:45 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.00/6.57 % SZS status Unsatisfiable for theBenchmark.p
% 19.00/6.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------