%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV962-1 : 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 : n016.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 28.86s 9.36s
% Output : CNFRefutation 28.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 12 RR)
% Number of literals : 20 ( 4 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-5 aty)
% Number of variables : 25 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrt__elim__cases_I8_J_0,axiom,
( ~ 'c$uWellTypeRT$uOWTrt'(X1,X2,X3,'c$uExpr$uOexp$uOFAss'(X4,X5,X6,X7,'tc$uList$uOlist'('tc$uString$uOchar')),X0)
| X0 = 'c$uType$uOty$uOVoid'
| X0 = 'c$uType$uOty$uOVoid' ) ).
cnf(cls_wt_0,axiom,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$uList$uOlist'('tc$uString$uOchar')),'v$uT') ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)) ).
cnf(cls_CHAINED_0,axiom,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622$uH','tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid') ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622$uH','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$uT')) ) ).
cnf(c389,plain,
( ~ 'c$uWellTypeRT$uOWTrt'(X1,X2,X3,'c$uExpr$uOexp$uOFAss'(X4,X5,X6,X7,'tc$uList$uOlist'('tc$uString$uOchar')),X0)
| X0 = 'c$uType$uOty$uOVoid' ),
inference(clausification,[status(esa)],[cls_WTrt__elim__cases_I8_J_0]) ).
cnf(c393,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$uList$uOlist'('tc$uString$uOchar')),'v$uT'),
inference(clausification,[status(esa)],[cls_wt_0]) ).
cnf(c401,plain,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)),
inference(clausification,[status(esa)],[cls_widen__refl_0]) ).
cnf(c403,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622$uH','tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c404,plain,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622$uH','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$uT')) ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
'v$uT' = 'c$uType$uOty$uOVoid',
inference(resolution,[status(thm)],[c389,c393]) ).
cnf(d1,plain,
( ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X0),'c$uType$uOty$uOVoid'))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('c$uExpr$uOexp$uOVal'('v$uv','tc$uList$uOlist'('tc$uString$uOchar')),'v$uF','v$uD','v$ue$u092$u060$u094isub$u0622$uH','tc$uList$uOlist'('tc$uString$uOchar')),X0) ),
inference(demodulation,[status(thm)],[c404,d0]) ).
cnf(d2,plain,
~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'c$uType$uOty$uOVoid'),'c$uType$uOty$uOVoid')),
inference(resolution,[status(thm)],[d1,c403]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c401,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV962-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n016.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 15:20:20 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.86/9.36 % SZS status Unsatisfiable for theBenchmark.p
% 28.86/9.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------