%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG387-1 : 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 : n006.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 55.10s 18.44s
% Output : CNFRefutation 55.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 10 unt; 2 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_abs__le__interval__iff_1,axiom,
( ~ 'c$ulessequals'('c$uHOL$uOabs$u$uclass$uOabs'(X0,'tc$uRealDef$uOreal'),X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ) ).
cnf(cls_v_0,axiom,
( ~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,'tc$uComplex$uOcomplex'),'c$uHOL$uOabs$u$uclass$uOabs'('v$ur','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uv','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$uOreal') ) ).
cnf(cls_v0_0,axiom,
( ~ 'c$ulessequals'('v$ur','c$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'),'v$uv','tc$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_real__le__linear_0,axiom,
( 'c$ulessequals'(X1,X0,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ) ).
cnf(cls_real__le__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal') ).
cnf(cls_real__le__trans_0,axiom,
( ~ 'c$ulessequals'(X0,X2,'tc$uRealDef$uOreal')
| ~ 'c$ulessequals'(X2,X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$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'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),hAPP('v$ux',X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal') ).
cnf(c680,plain,
( ~ 'c$ulessequals'('c$uHOL$uOabs$u$uclass$uOabs'(X0,'tc$uRealDef$uOreal'),X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_abs__le__interval__iff_1]) ).
cnf(c711,plain,
( ~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'(X0,'tc$uComplex$uOcomplex'),'c$uHOL$uOabs$u$uclass$uOabs'('v$ur','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal')
| 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),'v$uv','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$uOreal') ),
inference(clausification,[status(esa)],[cls_v_0]) ).
cnf(c714,plain,
( ~ 'c$ulessequals'('v$ur','c$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'),'v$uv','tc$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_v0_0]) ).
cnf(c718,plain,
( 'c$ulessequals'(X1,X0,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal') ),
inference(clausification,[status(esa)],[cls_real__le__linear_0]) ).
cnf(c722,plain,
'c$ulessequals'(X0,X0,'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_real__le__refl_0]) ).
cnf(c723,plain,
( ~ 'c$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(c735,plain,
~ 'c$ulessequals'('c$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'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('c$uPolynomial$uOpoly'('c$uPolynomial$uOpCons'('v$uc','v$ucs','tc$uComplex$uOcomplex'),hAPP('v$ux',X0),'tc$uComplex$uOcomplex'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
'c$ulessequals'(X0,'c$uHOL$uOabs$u$uclass$uOabs'(X0,'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c680,c722]) ).
cnf(d1,plain,
( ~ 'c$ulessequals'(X0,X1,'tc$uRealDef$uOreal')
| 'c$ulessequals'(X0,'c$uHOL$uOabs$u$uclass$uOabs'(X1,'tc$uRealDef$uOreal'),'tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[c723,d0]) ).
cnf(d2,plain,
~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'(hAPP('v$ux','v$uv'),'tc$uComplex$uOcomplex'),'c$uHOL$uOabs$u$uclass$uOabs'('v$ur','tc$uRealDef$uOreal'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c735,c711]) ).
cnf(d3,plain,
~ 'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'(hAPP('v$ux','v$uv'),'tc$uComplex$uOcomplex'),'v$ur','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ 'c$ulessequals'('v$ur','c$uRealVector$uOnorm$u$uclass$uOnorm'(hAPP('v$ux','v$uv'),'tc$uComplex$uOcomplex'),'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c735,c714]) ).
cnf(d5,plain,
'c$ulessequals'('c$uRealVector$uOnorm$u$uclass$uOnorm'(hAPP('v$ux','v$uv'),'tc$uComplex$uOcomplex'),'v$ur','tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[d4,c718]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG387-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.42 % Computer : n006.cluster.edu
% 0.15/5.42 % Model : x86_64 x86_64
% 0.15/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42 % Memory : 8046.5625MB
% 0.15/5.42 % OS : Linux 6.8.0-71-generic
% 0.15/5.42 % CPULimit : 300
% 0.15/5.42 % WCLimit : 300
% 0.15/5.42 % DateTime : Sat Sep 26 21:56:16 UTC 2026
% 0.15/5.42 % CPUTime :
% 0.15/5.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.10/18.44 % SZS status Unsatisfiable for theBenchmark.p
% 55.10/18.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------