%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV958-1 : 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 : n003.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 172.51s 38.31s
% Output : CNFRefutation 172.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 17 unt; 0 nHn; 28 RR)
% Number of literals : 53 ( 2 equ; 29 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-6 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-5 aty)
% Number of variables : 64 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrt_H__WTrts_H_Ointros_I10_J_0,axiom,
( ~ 'c$uProgress$uOWTrt$uH'(X0,X1,X2,X3,'c$uType$uOty$uOClass'(X9))
| ~ 'c$uTypeRel$uOhas$u$ufield'(X0,X9,X4,X8,X5,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uProgress$uOWTrt$uH'(X0,X1,X2,X6,X7)
| ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X7),X8))
| 'c$uProgress$uOWTrt$uH'(X0,X1,X2,'c$uExpr$uOexp$uOFAss'(X3,X4,X5,X6,'tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid') ) ).
cnf(cls_void_0,axiom,
'v$uT' = 'c$uType$uOty$uOVoid' ).
cnf(cls_wt__wt_H_0,axiom,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,X4)
| 'c$uProgress$uOWTrt$uH'(X0,X1,X2,X3,X4) ) ).
cnf(cls_wt_H__wt_0,axiom,
( ~ 'c$uProgress$uOWTrt$uH'(X0,X1,X2,X3,X4)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,X4) ) ).
cnf(cls_sub_0,axiom,
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')))),'v$uT$u092$u060$u094isub$u0622'),'v$uTF')) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)) ).
cnf(cls_wt_092_060_094isub_0622_H_0,axiom,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$u092$u060$u094isub$u0622','v$uT$u092$u060$u094isub$u0622') ).
cnf(cls_CHAINED_0_03,axiom,
'c$uTypeRel$uOhas$u$ufield'('v$uP','v$uC$uH','v$uF','v$uTF','v$uD','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))) ).
cnf(cls_CHAINED_0_04,axiom,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uOClass'('v$uC$uH')) ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('v$ue$uHa','v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','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$uT')) ) ).
cnf(c173,plain,
( ~ 'c$uTypeRel$uOhas$u$ufield'(X0,X6,X7,X2,X8,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uProgress$uOWTrt$uH'(X0,X3,X4,X9,X1)
| 'c$uProgress$uOWTrt$uH'(X0,X3,X4,'c$uExpr$uOexp$uOFAss'(X5,X7,X8,X9,'tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid')
| ~ 'c$uProgress$uOWTrt$uH'(X0,X3,X4,X5,'c$uType$uOty$uOClass'(X6))
| ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X1),X2)) ),
inference(clausification,[status(esa)],[cls_WTrt_H__WTrts_H_Ointros_I10_J_0]) ).
cnf(c327,plain,
'v$uT' = 'c$uType$uOty$uOVoid',
inference(clausification,[status(esa)],[cls_void_0]) ).
cnf(c342,plain,
( ~ 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,X4)
| 'c$uProgress$uOWTrt$uH'(X0,X1,X2,X3,X4) ),
inference(clausification,[status(esa)],[cls_wt__wt_H_0]) ).
cnf(c343,plain,
( ~ 'c$uProgress$uOWTrt$uH'(X0,X1,X2,X3,X4)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,X4) ),
inference(clausification,[status(esa)],[cls_wt_H__wt_0]) ).
cnf(c344,plain,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$uT$u092$u060$u094isub$u0622'),'v$uTF')),
inference(clausification,[status(esa)],[cls_sub_0]) ).
cnf(c356,plain,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,X1),X2),X2)),
inference(clausification,[status(esa)],[cls_widen__refl_0]) ).
cnf(c368,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$u092$u060$u094isub$u0622','v$uT$u092$u060$u094isub$u0622'),
inference(clausification,[status(esa)],[cls_wt_092_060_094isub_0622_H_0]) ).
cnf(c388,plain,
'c$uTypeRel$uOhas$u$ufield'('v$uP','v$uC$uH','v$uF','v$uTF','v$uD','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),
inference(clausification,[status(esa)],[cls_CHAINED_0_03]) ).
cnf(c389,plain,
'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uOClass'('v$uC$uH')),
inference(clausification,[status(esa)],[cls_CHAINED_0_04]) ).
cnf(c390,plain,
( ~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('v$ue$uHa','v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$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,
( ~ 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'('v$ue$uHa','v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$uList$uOlist'('tc$uString$uOchar')),X0) ),
inference(demodulation,[status(thm)],[c390,c327]) ).
cnf(d1,plain,
~ 'c$uWellTypeRT$uOWTrt'('v$uP','v$uh$uHa','v$uE','c$uExpr$uOexp$uOFAss'('v$ue$uHa','v$uF','v$uD','v$ue$u092$u060$u094isub$u0622','tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid'),
inference(resolution,[status(thm)],[d0,c356]) ).
cnf(d2,plain,
( 'c$uProgress$uOWTrt$uH'('v$uP',X3,X4,'c$uExpr$uOexp$uOFAss'(X6,X1,X2,X5,'tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid')
| ~ 'c$uProgress$uOWTrt$uH'('v$uP',X3,X4,X6,'c$uType$uOty$uOClass'(X0))
| ~ 'c$uProgress$uOWTrt$uH'('v$uP',X3,X4,X5,'v$uT$u092$u060$u094isub$u0622')
| ~ 'c$uTypeRel$uOhas$u$ufield'('v$uP',X0,X1,'v$uTF',X2,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))) ),
inference(resolution,[status(thm)],[c173,c344]) ).
cnf(d3,plain,
( 'c$uProgress$uOWTrt$uH'('v$uP',X0,X1,'c$uExpr$uOexp$uOFAss'(X2,'v$uF','v$uD',X3,'tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid')
| ~ 'c$uProgress$uOWTrt$uH'('v$uP',X0,X1,X3,'v$uT$u092$u060$u094isub$u0622')
| ~ 'c$uProgress$uOWTrt$uH'('v$uP',X0,X1,X2,'c$uType$uOty$uOClass'('v$uC$uH')) ),
inference(resolution,[status(thm)],[d2,c388]) ).
cnf(d4,plain,
( 'c$uWellTypeRT$uOWTrt'('v$uP',X0,X1,'c$uExpr$uOexp$uOFAss'(X3,'v$uF','v$uD',X2,'tc$uList$uOlist'('tc$uString$uOchar')),'c$uType$uOty$uOVoid')
| ~ 'c$uProgress$uOWTrt$uH'('v$uP',X0,X1,X3,'c$uType$uOty$uOClass'('v$uC$uH'))
| ~ 'c$uProgress$uOWTrt$uH'('v$uP',X0,X1,X2,'v$uT$u092$u060$u094isub$u0622') ),
inference(resolution,[status(thm)],[d3,c343]) ).
cnf(d5,plain,
( ~ 'c$uProgress$uOWTrt$uH'('v$uP','v$uh$uHa','v$uE','v$ue$u092$u060$u094isub$u0622','v$uT$u092$u060$u094isub$u0622')
| ~ 'c$uProgress$uOWTrt$uH'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uOClass'('v$uC$uH')) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'c$uProgress$uOWTrt$uH'('v$uP','v$uh$uHa','v$uE','v$ue$u092$u060$u094isub$u0622','v$uT$u092$u060$u094isub$u0622'),
inference(resolution,[status(thm)],[c342,c368]) ).
cnf(d7,plain,
~ 'c$uProgress$uOWTrt$uH'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uOClass'('v$uC$uH')),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
'c$uProgress$uOWTrt$uH'('v$uP','v$uh$uHa','v$uE','v$ue$uHa','c$uType$uOty$uOClass'('v$uC$uH')),
inference(resolution,[status(thm)],[c342,c389]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV958-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 15:16:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 172.51/38.31 % SZS status Unsatisfiable for theBenchmark.p
% 172.51/38.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------