%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV951-1 : 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 : n013.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 09:04:58 AM UTC 2026
% Result : Unsatisfiable 30.69s 15.31s
% Output : CNFRefutation 30.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 22 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrtFAccNT_0,axiom,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uType$uOty$uONT')
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,'c$uExpr$uOexp$uOFAcc'(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$uWellTypeRT$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$uOexp$uOFAcc'('v$ue$uHa','v$uF','v$uD','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$uT')) ) ).
cnf(c316,plain,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uType$uOty$uONT')
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,'c$uExpr$uOexp$uOFAcc'(X3,X4,X5,'tc$uList$uOlist'('tc$uString$uOchar')),X6) ),
inference(clausification,[status(esa)],[cls_WTrtFAccNT_0]) ).
cnf(c342,plain,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)),
inference(clausification,[status(esa)],[cls_widen__refl_0]) ).
cnf(c363,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uONT'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c364,plain,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAcc'('v$ue$uHa','v$uF','v$uD','tc$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$uOFAcc'('v$ue$uHa','v$uF','v$uD','tc$uList$uOlist'('tc$uString$uOchar')),'v$uT'),
inference(resolution,[status(thm)],[c364,c342]) ).
cnf(d1,plain,
~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uONT'),
inference(resolution,[status(thm)],[d0,c316]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c363,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV951-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/11.23 % Computer : n013.cluster.edu
% 0.12/11.23 % Model : x86_64 x86_64
% 0.12/11.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/11.23 % Memory : 8046.5625MB
% 0.12/11.23 % OS : Linux 6.8.0-71-generic
% 0.12/11.23 % CPULimit : 300
% 0.12/11.23 % WCLimit : 300
% 0.12/11.23 % DateTime : Sat Sep 26 15:13:48 UTC 2026
% 0.12/11.23 % CPUTime :
% 0.12/11.23 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.69/15.31 % SZS status Unsatisfiable for theBenchmark.p
% 30.69/15.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------