%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV908-1 : 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 : n010.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 09:04:54 AM UTC 2026
% Result : Unsatisfiable 2.74s 34.25s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 18 unt; 0 nHn; 18 RR)
% Number of literals : 31 ( 2 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-5 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_equalityE_0,axiom,
'c$ulessequals'(X0,X0,'tc$ufun'(X1,'tc$ubool')) ).
cnf(cls_MGF__lemma2__simult_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| ~ 'c$uCom$uOWT$u$ubodies'
| ~ 'c$ulessequals'(X0,'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$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool'))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','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')),X0,'tc$uCom$uOstate') ) ).
cnf(cls_image__image_0,axiom,
'c$uSet$uOimage'(X0,'c$uSet$uOimage'(X1,X2,X3,X4),X4,X5) = 'c$uSet$uOimage'('c$uCOMBB'(X0,X1,X4,X5,X3),X2,X3,X5) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uCom$uOWT$u$ubodies' ).
cnf(cls_conjecture_4,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','tc$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$uOstate')),'c$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$uOstate')),'tc$uCom$uOstate') ).
cnf(c313,plain,
'c$ulessequals'(X0,X0,'tc$ufun'(X1,'tc$ubool')),
inference(clausification,[status(esa)],[cls_equalityE_0]) ).
cnf(c437,plain,
( ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| ~ 'c$uCom$uOWT$u$ubodies'
| ~ 'c$ulessequals'(X0,'c$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$uOstate')),'tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool'))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','tc$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$uOstate')),X0,'tc$uCom$uOstate') ),
inference(clausification,[status(esa)],[cls_MGF__lemma2__simult_0]) ).
cnf(c440,plain,
'c$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(c446,plain,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c447,plain,
'c$uCom$uOWT$u$ubodies',
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c450,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','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')),'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$uCom$uOstate'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(d0,plain,
( ~ 'c$uCom$uOWT$u$ubodies'
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','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')),X0,'tc$uCom$uOstate')
| ~ 'c$ulessequals'(X0,'c$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$uOstate')),'tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')) ),
inference(resolution,[status(thm)],[c446,c437]) ).
cnf(d1,plain,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','tc$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$uOstate')),X0,'tc$uCom$uOstate')
| ~ 'c$ulessequals'(X0,'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$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')) ),
inference(resolution,[status(thm)],[c447,d0]) ).
cnf(d2,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uCOMBB'('c$uHoare$u$uMirabelle$uOMGT','c$uCom$uOcom$uOBODY','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')),'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$uCom$uOstate'),
inference(resolution,[status(thm)],[d1,c313]) ).
cnf(d3,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCom$uOcom$uOBODY','c$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$uOstate')),'c$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$uOstate')),'tc$uCom$uOstate'),
inference(demodulation,[status(thm)],[d2,c440]) ).
cnf(d4,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCom$uOcom$uOBODY','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')),'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$uOstate')),'tc$uCom$uOstate'),
inference(demodulation,[status(thm)],[d3,c440]) ).
cnf(d5,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCom$uOcom$uOBODY','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')),'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$uCom$uOstate'),
inference(demodulation,[status(thm)],[d4,c440]) ).
cnf(d6,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCom$uOcom$uOBODY','c$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$uOstate')),'c$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$uOstate')),'tc$uCom$uOstate'),
inference(demodulation,[status(thm)],[c450,c440]) ).
cnf(d7,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCom$uOcom$uOBODY','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')),'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$uOstate')),'tc$uCom$uOstate'),
inference(demodulation,[status(thm)],[d6,c440]) ).
cnf(d8,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uSet$uOimage'('c$uHoare$u$uMirabelle$uOMGT','c$uSet$uOimage'('c$uCom$uOcom$uOBODY','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')),'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$uCom$uOstate'),
inference(demodulation,[status(thm)],[d7,c440]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV908-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/11.21 % Computer : n010.cluster.edu
% 0.10/11.21 % Model : x86_64 x86_64
% 0.10/11.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/11.21 % Memory : 8046.5625MB
% 0.10/11.21 % OS : Linux 6.8.0-71-generic
% 0.10/11.21 % CPULimit : 300
% 0.10/11.21 % WCLimit : 300
% 0.10/11.21 % DateTime : Sat Sep 26 15:09:30 UTC 2026
% 0.10/11.21 % CPUTime :
% 0.10/11.21 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/34.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.74/34.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------