%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV854-1 : 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 09:04:49 AM UTC 2026
% Result : Unsatisfiable 160.81s 33.18s
% Output : CNFRefutation 160.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 35 ( 4 equ; 15 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 42 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__iff_1,axiom,
hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X0,X1,X2),X2)) ).
cnf(cls_insert__absorb_0,axiom,
( ~ hBOOL('c$uin'(X0,X1,X2))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X1,X0))
| hBOOL('c$uin'(X0,X1,X2)) ) ).
cnf(cls_mem__def_0,axiom,
( ~ hBOOL('c$uin'(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_Body__triple__valid__Suc_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(X0,'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X1,'c$uOption$uOthe'('c$uCom$uObody'(X2),'tc$uCom$uOcom'),X3,X4),X4)
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(hAPP('c$uSuc',X0),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X1,'c$uCom$uOcom$uOBODY'(X2),X3,X4),X4) ) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL('c$uin'('v$ux','v$uProcs','tc$uCom$uOpname')) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(hAPP('c$uSuc','v$una'),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(hAPP('v$uP','v$ux'),'c$uCom$uOcom$uOBODY'('v$ux'),hAPP('v$uQ','v$ux'),'t$ua'),'t$ua') ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ hBOOL('c$uin'(X0,'v$uProcs','tc$uCom$uOpname'))
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$una','c$uHoare$u$uMirabelle$uOtriple$uOtriple'(hAPP('v$uP',X0),'c$uOption$uOthe'('c$uCom$uObody'(X0),'tc$uCom$uOcom'),hAPP('v$uQ',X0),'t$ua'),'t$ua') ) ).
cnf(c513,plain,
hBOOL('c$uin'(X0,'c$uSet$uOinsert'(X0,X1,X2),X2)),
inference(clausification,[status(esa)],[cls_insert__iff_1]) ).
cnf(c522,plain,
( ~ hBOOL('c$uin'(X0,X1,X2))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ),
inference(clausification,[status(esa)],[cls_insert__absorb_0]) ).
cnf(c728,plain,
( ~ hBOOL(hAPP(X1,X0))
| hBOOL('c$uin'(X0,X1,X2)) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c729,plain,
( ~ hBOOL('c$uin'(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_mem__def_0]) ).
cnf(c730,plain,
( ~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(X0,'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X1,'c$uOption$uOthe'('c$uCom$uObody'(X2),'tc$uCom$uOcom'),X3,X4),X4)
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(hAPP('c$uSuc',X0),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X1,'c$uCom$uOcom$uOBODY'(X2),X3,X4),X4) ),
inference(clausification,[status(esa)],[cls_Body__triple__valid__Suc_0]) ).
cnf(c733,plain,
hBOOL('c$uin'('v$ux','v$uProcs','tc$uCom$uOpname')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c734,plain,
~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(hAPP('c$uSuc','v$una'),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(hAPP('v$uP','v$ux'),'c$uCom$uOcom$uOBODY'('v$ux'),hAPP('v$uQ','v$ux'),'t$ua'),'t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c737,plain,
( ~ hBOOL('c$uin'(X0,'v$uProcs','tc$uCom$uOpname'))
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$una','c$uHoare$u$uMirabelle$uOtriple$uOtriple'(hAPP('v$uP',X0),'c$uOption$uOthe'('c$uCom$uObody'(X0),'tc$uCom$uOcom'),hAPP('v$uQ',X0),'t$ua'),'t$ua') ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(d0,plain,
( 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'(hAPP('c$uSuc','v$una'),'c$uHoare$u$uMirabelle$uOtriple$uOtriple'(hAPP('v$uP',X0),'c$uCom$uOcom$uOBODY'(X0),hAPP('v$uQ',X0),'t$ua'),'t$ua')
| ~ hBOOL('c$uin'(X0,'v$uProcs','tc$uCom$uOpname')) ),
inference(resolution,[status(thm)],[c737,c730]) ).
cnf(d1,plain,
~ hBOOL('c$uin'('v$ux','v$uProcs','tc$uCom$uOpname')),
inference(resolution,[status(thm)],[d0,c734]) ).
cnf(d2,plain,
hBOOL(hAPP('v$uProcs','v$ux')),
inference(resolution,[status(thm)],[c729,c733]) ).
cnf(d3,plain,
( ~ hBOOL(hAPP(X1,X0))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ),
inference(resolution,[status(thm)],[c522,c728]) ).
cnf(d4,plain,
'c$uSet$uOinsert'('v$ux','v$uProcs',X0) = 'v$uProcs',
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
hBOOL('c$uin'('v$ux','v$uProcs',X0)),
inference(superposition,[status(thm)],[d4,c513]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 15:03:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 160.81/33.18 % SZS status Unsatisfiable for theBenchmark.p
% 160.81/33.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------