%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV966-1 : 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 : n009.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 09:04:59 AM UTC 2026
% Result : Unsatisfiable 34.94s 4.88s
% Output : CNFRefutation 34.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 30 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrtCallNT_0,axiom,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uType$uOty$uONT')
| ~ 'c$uWellTypeRT$uOWTrts'(X0,X1,X2,X5,X7)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,'c$uExpr$uOexp$uOCall'(X3,X4,X5,'tc$uList$uOlist'('tc$uString$uOchar')),X6) ) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)) ).
cnf(cls_CHAINED_0,axiom,
'c$uWellTypeRT$uOWTrts'('v$uP','v$uh$uHa','v$uE','v$uesa','v$uTs') ).
cnf(cls_CHAINED_0_01,axiom,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uONT') ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOCall'('v$ue$uHa','v$uM','v$uesa','tc$uList$uOlist'('tc$uString$uOchar')),X0)
| ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X0),'v$uT')) ) ).
cnf(c286,plain,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uType$uOty$uONT')
| ~ 'c$uWellTypeRT$uOWTrts'(X0,X1,X2,X5,X7)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,'c$uExpr$uOexp$uOCall'(X3,X4,X5,'tc$uList$uOlist'('tc$uString$uOchar')),X6) ),
inference(clausification,[status(esa)],[cls_WTrtCallNT_0]) ).
cnf(c311,plain,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)),
inference(clausification,[status(esa)],[cls_widen__refl_0]) ).
cnf(c334,plain,
'c$uWellTypeRT$uOWTrts'('v$uP','v$uh$uHa','v$uE','v$uesa','v$uTs'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c335,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uONT'),
inference(clausification,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(c336,plain,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOCall'('v$ue$uHa','v$uM','v$uesa','tc$uList$uOlist'('tc$uString$uOchar')),X0)
| ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X0),'v$uT')) ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOCall'('v$ue$uHa','v$uM','v$uesa','tc$uList$uOlist'('tc$uString$uOchar')),'v$uT'),
inference(resolution,[status(thm)],[c336,c311]) ).
cnf(d1,plain,
( 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOCall'('v$ue$uHa',X2,X0,'tc$uList$uOlist'('tc$uString$uOchar')),X3)
| ~ 'c$uWellTypeRT$uOWTrts'('v$uP','v$uh$uHa','v$uE',X0,X1) ),
inference(resolution,[status(thm)],[c286,c335]) ).
cnf(d2,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOCall'('v$ue$uHa',X0,'v$uesa','tc$uList$uOlist'('tc$uString$uOchar')),X1),
inference(resolution,[status(thm)],[d1,c334]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV966-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 15:15:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.94/4.88 % SZS status Unsatisfiable for theBenchmark.p
% 34.94/4.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------