%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG386-1 : 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 : n026.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 33.62s 8.79s
% Output : CNFRefutation 33.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 8 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 : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
( ~ 'c$ulessequals'('v$usko$u$uCHAINED$u$u1'('v$uc','v$ucs'),'c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal') ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(cls_conjecture_1,negated_conjecture,
( 'c$ulessequals'(X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'v$uthesis' ) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'v$uthesis' ) ).
cnf(c420,plain,
( ~ 'c$ulessequals'('v$usko$u$uCHAINED$u$u1'('v$uc','v$ucs'),'c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),X0,'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c421,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c422,plain,
( 'c$ulessequals'(X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c423,plain,
( ~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal')
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(d0,plain,
'c$ulessequals'(X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c421,c422]) ).
cnf(d1,plain,
~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c421,c423]) ).
cnf(d2,plain,
~ 'c$ulessequals'('v$usko$u$uCHAINED$u$u1'('v$uc','v$ucs'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('v$ux'(X0),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d1,c420]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG386-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.59 % Computer : n026.cluster.edu
% 0.07/0.59 % Model : x86_64 x86_64
% 0.07/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.59 % Memory : 8046.5625MB
% 0.07/0.59 % OS : Linux 6.8.0-71-generic
% 0.07/0.59 % CPULimit : 300
% 0.07/0.59 % WCLimit : 300
% 0.07/0.59 % DateTime : Sat Sep 26 21:59:26 UTC 2026
% 0.07/0.60 % CPUTime :
% 0.07/0.60 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.62/8.79 % SZS status Unsatisfiable for theBenchmark.p
% 33.62/8.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------