%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV898-1 : 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 : n011.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 09:04:53 AM UTC 2026
% Result : Unsatisfiable 158.68s 28.15s
% Output : CNFRefutation 158.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 9 RR)
% Number of literals : 19 ( 4 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 38 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_image__compose_0,axiom,
'c$uSet$uOimage'('c$uFun$uOcomp'(X0,X1,X2,X3,X4),X5,X4,X3) = 'c$uSet$uOimage'(X0,'c$uSet$uOimage'(X1,X5,X4,X2),X2,X3) ).
cnf(cls_finite__dom__body_0,axiom,
'c$uFinite$u$uSet$uOfinite'('c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname') ).
cnf(cls_image__image_0,axiom,
'c$uSet$uOimage'(X0,'c$uSet$uOimage'(X1,X2,X3,X4),X4,X5) = 'c$uSet$uOimage'('c$uCOMBB'(X0,X1,X4,X5,X3),X2,X3,X5) ).
cnf(cls_finite__imageI_0,axiom,
( ~ 'c$uFinite$u$uSet$uOfinite'(X1,X2)
| 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'(X0,X1,X2,X3),X3) ) ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCOMBB'('c$uOption$uOthe'('tc$uCom$uOcom'),'c$uCom$uObody','tc$uOption$uOoption'('tc$uCom$uOcom'),'tc$uCom$uOcom','tc$uCom$uOpname'),'tc$uCom$uOcom','tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uCom$uOpname'),'c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname','tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')) ).
cnf(c497,plain,
'c$uSet$uOimage'('c$uFun$uOcomp'(X0,X1,X2,X3,X4),X5,X4,X3) = 'c$uSet$uOimage'(X0,'c$uSet$uOimage'(X1,X5,X4,X2),X2,X3),
inference(clausification,[status(esa)],[cls_image__compose_0]) ).
cnf(c555,plain,
'c$uFinite$u$uSet$uOfinite'('c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname'),
inference(clausification,[status(esa)],[cls_finite__dom__body_0]) ).
cnf(c570,plain,
'c$uSet$uOimage'(X0,'c$uSet$uOimage'(X1,X2,X3,X4),X4,X5) = 'c$uSet$uOimage'('c$uCOMBB'(X0,X1,X4,X5,X3),X2,X3,X5),
inference(clausification,[status(esa)],[cls_image__image_0]) ).
cnf(c571,plain,
( ~ 'c$uFinite$u$uSet$uOfinite'(X1,X2)
| 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'(X0,X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_finite__imageI_0]) ).
cnf(c585,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCOMBB'('c$uOption$uOthe'('tc$uCom$uOcom'),'c$uCom$uObody','tc$uOption$uOoption'('tc$uCom$uOcom'),'tc$uCom$uOcom','tc$uCom$uOpname'),'tc$uCom$uOcom','tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$uCom$uOpname'),'c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname','tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCOMBB'('c$uOption$uOthe'('tc$uCom$uOcom'),'c$uCom$uObody','tc$uOption$uOoption'('tc$uCom$uOcom'),'tc$uCom$uOcom','tc$uCom$uOpname'),'c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOcom','tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),
inference(demodulation,[status(thm)],[c585,c570]) ).
cnf(d1,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uOption$uOthe'('tc$uCom$uOcom'),'c$uSet$uOimage'('c$uCom$uObody','c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname','tc$uOption$uOoption'('tc$uCom$uOcom')),'tc$uOption$uOoption'('tc$uCom$uOcom'),'tc$uCom$uOcom'),'tc$uCom$uOcom','tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),
inference(demodulation,[status(thm)],[d0,c570]) ).
cnf(d2,plain,
( ~ 'c$uFinite$u$uSet$uOfinite'(X5,X4)
| 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'(X0,'c$uSet$uOimage'(X1,X5,X4,X2),X2,X3),X3) ),
inference(superposition,[status(thm)],[c497,c571]) ).
cnf(d3,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uSet$uOimage'('c$uCom$uObody','c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname','tc$uOption$uOoption'('tc$uCom$uOcom')),'tc$uOption$uOoption'('tc$uCom$uOcom')),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ 'c$uFinite$u$uSet$uOfinite'('c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'tc$uCom$uOpname'),
inference(resolution,[status(thm)],[d3,c571]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c555,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV898-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n011.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 15:08:29 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.68/28.15 % SZS status Unsatisfiable for theBenchmark.p
% 158.68/28.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------