%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV857-1 : 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 : n008.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 5.36s 9.00s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 21 RR)
% Number of literals : 42 ( 9 equ; 15 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 45 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Un__Diff__cancel_0,axiom,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uHOL$uOminus$u$uclass$uOminus'(X1,X0,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) ).
cnf(cls_Diff__partition_0,axiom,
( ~ 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uHOL$uOminus$u$uclass$uOminus'(X1,X0,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) = X1 ) ).
cnf(cls_sup1CI_1,axiom,
( ~ hBOOL(hAPP(X0,X3))
| hBOOL(hAPP('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),X3)) ) ).
cnf(cls_insert__absorb_0,axiom,
( ~ hBOOL(hAPP(hAPP('c$uin'(X2),X0),X1))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP('c$uin'(X0),X1),X2)) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('v$utsa','v$uGa','tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(hAPP('c$uin'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$uxa'),'v$utsa')) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$ux','v$uxa','t$ua') ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ hBOOL(hAPP(hAPP('c$uin'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X0),'v$uGa'))
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$ux',X0,'t$ua') ) ).
cnf(c0,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uHOL$uOminus$u$uclass$uOminus'(X1,X0,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) = 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),
inference(clausification,[status(esa)],[cls_Un__Diff__cancel_0]) ).
cnf(c21,plain,
( ~ 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,'c$uHOL$uOminus$u$uclass$uOminus'(X1,X0,'tc$ufun'(X2,'tc$ubool')),'tc$ufun'(X2,'tc$ubool')) = X1 ),
inference(clausification,[status(esa)],[cls_Diff__partition_0]) ).
cnf(c214,plain,
( ~ hBOOL(hAPP(X0,X3))
| hBOOL(hAPP('c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')),X3)) ),
inference(clausification,[status(esa)],[cls_sup1CI_1]) ).
cnf(c244,plain,
( ~ hBOOL(hAPP(hAPP('c$uin'(X2),X0),X1))
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ),
inference(clausification,[status(esa)],[cls_insert__absorb_0]) ).
cnf(c389,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)),
inference(clausification,[status(esa)],[cls_insert__code_1]) ).
cnf(c541,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP('c$uin'(X0),X1),X2)) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c544,plain,
'c$ulessequals'('v$utsa','v$uGa','tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c545,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),'v$uxa'),'v$utsa')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c546,plain,
~ 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$ux','v$uxa','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c547,plain,
( ~ hBOOL(hAPP(hAPP('c$uin'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),X0),'v$uGa'))
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$ux',X0,'t$ua') ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'(X0,X1,'tc$ufun'(X2,'tc$ubool'))
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X1,'tc$ufun'(X2,'tc$ubool')) = X1 ),
inference(demodulation,[status(thm)],[c21,c0]) ).
cnf(d1,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'('v$utsa','v$uGa','tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$ubool')) = 'v$uGa',
inference(resolution,[status(thm)],[c544,d0]) ).
cnf(d2,plain,
( ~ hBOOL(hAPP('v$utsa',X0))
| hBOOL(hAPP('v$uGa',X0)) ),
inference(superposition,[status(thm)],[d1,c214]) ).
cnf(d3,plain,
'c$uSet$uOinsert'('v$uxa','v$utsa','tc$uHoare$u$uMirabelle$uOtriple'('t$ua')) = 'v$utsa',
inference(resolution,[status(thm)],[c244,c545]) ).
cnf(d4,plain,
hBOOL(hAPP('v$utsa','v$uxa')),
inference(superposition,[status(thm)],[d3,c389]) ).
cnf(d5,plain,
hBOOL(hAPP('v$uGa','v$uxa')),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( ~ hBOOL(hAPP('v$uGa',X0))
| 'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$ux',X0,'t$ua') ),
inference(resolution,[status(thm)],[c547,c541]) ).
cnf(d7,plain,
'c$uHoare$u$uMirabelle$uOtriple$u$uvalid'('v$ux','v$uxa','t$ua'),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c546,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42 % Computer : n008.cluster.edu
% 0.08/0.42 % Model : x86_64 x86_64
% 0.08/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.42 % Memory : 8046.5625MB
% 0.08/0.42 % OS : Linux 6.8.0-71-generic
% 0.08/0.42 % CPULimit : 300
% 0.08/0.42 % WCLimit : 300
% 0.08/0.42 % DateTime : Sat Sep 26 15:04:54 UTC 2026
% 0.08/0.43 % CPUTime :
% 0.08/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/9.00 % SZS status Unsatisfiable for theBenchmark.p
% 5.36/9.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------