%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV954-1 : 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 : n026.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 47.14s 11.44s
% Output : CNFRefutation 47.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 10 unt; 3 nHn; 15 RR)
% Number of literals : 22 ( 2 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-7 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrt__elim__cases_I8_J_11,axiom,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,'c$uExpr$uOexp$uOFAss'(X6,X5,X4,X3,'tc$uList$uOlist'('tc$uString$uOchar')),X7)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u3'(X4,X2,X5,X0,X6,X1,X3))
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u4'(X2,X0,X1,X3)) ) ).
cnf(cls_void_0,axiom,
'v$uT' = 'c$uType$uOty$uOVoid' ).
cnf(cls_wt_0,axiom,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','c$uExpr$uOexp$uOFAss'('v$uea','v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$uList$uOlist'('tc$uString$uOchar')),'v$uT') ).
cnf(cls_that_0,axiom,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','v$ue$u092$u060$u094isub$u0622',X0)
| 'v$uthesis' ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c263,plain,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,'c$uExpr$uOexp$uOFAss'(X6,X5,X4,X3,'tc$uList$uOlist'('tc$uString$uOchar')),X7)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u3'(X4,X2,X5,X0,X6,X1,X3))
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,'c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u4'(X2,X0,X1,X3)) ),
inference(clausification,[status(esa)],[cls_WTrt__elim__cases_I8_J_11]) ).
cnf(c358,plain,
'v$uT' = 'c$uType$uOty$uOVoid',
inference(clausification,[status(esa)],[cls_void_0]) ).
cnf(c378,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','c$uExpr$uOexp$uOFAss'('v$uea','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(c382,plain,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','v$ue$u092$u060$u094isub$u0622',X0)
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c384,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','v$ue$u092$u060$u094isub$u0622',X0),
inference(resolution,[status(thm)],[c384,c382]) ).
cnf(d1,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','c$uExpr$uOexp$uOFAss'('v$uea','v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid'),
inference(demodulation,[status(thm)],[c378,c358]) ).
cnf(d2,plain,
( 'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','v$ue$u092$u060$u094isub$u0622','c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u3'('v$uD','v$uE','v$uF','v$uP','v$uea','v$uha','v$ue$u092$u060$u094isub$u0622'))
| 'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','v$ue$u092$u060$u094isub$u0622','c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u4'('v$uE','v$uP','v$uha','v$ue$u092$u060$u094isub$u0622')) ),
inference(resolution,[status(thm)],[c263,d1]) ).
cnf(d3,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uha','v$uE','v$ue$u092$u060$u094isub$u0622','c$uWellTypeRT$uOsko$u$uWellTypeRT$u$uXWTrt$u$uelim$u$ucases$u$u8$u$u3'('v$uD','v$uE','v$uF','v$uP','v$uea','v$uha','v$ue$u092$u060$u094isub$u0622')),
inference(resolution,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV954-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n026.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sat Sep 26 15:16:41 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.14/11.44 % SZS status Unsatisfiable for theBenchmark.p
% 47.14/11.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------