%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV901-1 : 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 : n019.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 23.79s 13.78s
% Output : CNFRefutation 23.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 22 unt; 0 nHn; 24 RR)
% Number of literals : 59 ( 13 equ; 29 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 : 20 ( 20 usr; 9 con; 0-5 aty)
% Number of variables : 51 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_singleton__conv2_0,axiom,
'c$uCollect'(hAPP('c$ufequal'(X0),X1),X0) = 'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X0) ).
cnf(cls_WT__bodiesD_0,axiom,
( 'c$uCom$uOWT'(X1)
| ~ 'c$uCom$uOWT$u$ubodies'
| hAPP('c$uCom$uObody',X0) != 'c$uOption$uOoption$uOSome'(X1,'tc$uCom$uOcom') ) ).
cnf(cls_MGF_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| ~ 'c$uCom$uOWT$u$ubodies'
| ~ 'c$uCom$uOWT'(X0)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'c$uSet$uOinsert'(hAPP('c$uHoare$u$uMirabelle$uOMGT',X0),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$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_cut_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X3,X1,X2)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X3,X2)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ) ).
cnf(cls_empty_0,axiom,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool')),X1) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uCom$uOWT$u$ubodies' ).
cnf(cls_conjecture_5,negated_conjecture,
hAPP('c$uCom$uObody','v$upn') = 'c$uOption$uOoption$uOSome'('v$uy','tc$uCom$uOcom') ).
cnf(cls_conjecture_7,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$uSet$uOinsert'(hAPP('c$uHoare$u$uMirabelle$uOMGT','v$uy'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uCom$uOstate') ).
cnf(c107,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c489,plain,
'c$uSet$uOinsert'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1) = 'c$uCollect'(hAPP('c$ufequal'(X1),X0),X1),
inference(clausification,[status(esa)],[cls_singleton__conv2_0]) ).
cnf(c555,plain,
( 'c$uCom$uOWT'(X0)
| 'c$uOption$uOoption$uOSome'(X0,'tc$uCom$uOcom') != hAPP('c$uCom$uObody',X1)
| ~ 'c$uCom$uOWT$u$ubodies' ),
inference(clausification,[status(esa)],[cls_WT__bodiesD_0]) ).
cnf(c559,plain,
( ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| ~ 'c$uCom$uOWT'(X0)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'c$uSet$uOinsert'(hAPP('c$uHoare$u$uMirabelle$uOMGT',X0),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uCom$uOstate')
| ~ 'c$uCom$uOWT$u$ubodies' ),
inference(clausification,[status(esa)],[cls_MGF_0]) ).
cnf(c589,plain,
'c$uSet$uOimage'('c$uCOMBB'(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__image_0]) ).
cnf(c593,plain,
( ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X1,X3,X2)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X3,X2)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_cut_0]) ).
cnf(c613,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X1),'tc$ubool')),X1),
inference(clausification,[status(esa)],[cls_empty_0]) ).
cnf(c665,plain,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c666,plain,
'c$uCom$uOWT$u$ubodies',
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c670,plain,
'c$uOption$uOoption$uOSome'('v$uy','tc$uCom$uOcom') = hAPP('c$uCom$uObody','v$upn'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c672,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$uSet$uOinsert'(hAPP('c$uHoare$u$uMirabelle$uOMGT','v$uy'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uCom$uOstate'),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(d0,plain,
'c$uSet$uOinsert'(X1,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X0) = hAPP('c$ufequal'(X0),X1),
inference(demodulation,[status(thm)],[c489,c107]) ).
cnf(d1,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$uOinsert'(hAPP('c$uHoare$u$uMirabelle$uOMGT','v$uy'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),'tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),'tc$uCom$uOstate'),
inference(demodulation,[status(thm)],[c672,c589]) ).
cnf(d2,plain,
~ 'c$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')),hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT','v$uy')),'tc$uCom$uOstate'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'c$uCom$uOWT$u$ubodies'
| ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| ~ 'c$uCom$uOWT'(X0)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'tc$uCom$uOstate') ),
inference(demodulation,[status(thm)],[c559,d0]) ).
cnf(d4,plain,
( ~ 'c$uCom$uOWT$u$ubodies'
| ~ 'c$uCom$uOWT'(X0)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'tc$uCom$uOstate') ),
inference(resolution,[status(thm)],[c665,d3]) ).
cnf(d5,plain,
( ~ 'c$uCom$uOWT'(X0)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate'),'tc$ubool')),hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X0)),'tc$uCom$uOstate') ),
inference(resolution,[status(thm)],[c666,d4]) ).
cnf(d6,plain,
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X2,X1,X0)
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$ubool')),X1,X0) ),
inference(resolution,[status(thm)],[c593,c613]) ).
cnf(d7,plain,
( ~ 'c$uCom$uOWT'(X1)
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,hAPP('c$ufequal'('tc$uHoare$u$uMirabelle$uOtriple'('tc$uCom$uOstate')),hAPP('c$uHoare$u$uMirabelle$uOMGT',X1)),'tc$uCom$uOstate') ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
~ 'c$uCom$uOWT'('v$uy'),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( 'c$uCom$uOWT'(X0)
| 'c$uOption$uOoption$uOSome'(X0,'tc$uCom$uOcom') != hAPP('c$uCom$uObody',X1) ),
inference(resolution,[status(thm)],[c666,c555]) ).
cnf(d10,plain,
( 'c$uCom$uOWT'('v$uy')
| hAPP('c$uCom$uObody','v$upn') != hAPP('c$uCom$uObody',X0) ),
inference(superposition,[status(thm)],[c670,d9]) ).
cnf(d11,plain,
'c$uCom$uOWT'('v$uy'),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV901-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 15:08:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.79/13.78 % SZS status Unsatisfiable for theBenchmark.p
% 23.79/13.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------