%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL838-1 : 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 : n007.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 07:55:34 AM UTC 2026
% Result : Unsatisfiable 67.77s 9.76s
% Output : CNFRefutation 67.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 2 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-5 aty)
% Number of variables : 27 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_foldl__Cons_0,axiom,
'c$uList$uOfoldl'(X0,X1,'c$uList$uOlist$uOCons'(X2,X3,X4),X5,X4) = 'c$uList$uOfoldl'(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4) ).
cnf(cls_list__app__typeE_0,axiom,
( ~ 'c$uType$uOtyping'(X0,'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',X1,X3,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X2)
| 'c$uType$uOtyping'(X0,X1,'c$uList$uOfoldr'('c$uType$uOtype$uOFun','c$uType$uOsko$u$uType$u$uXlist$u$uapp$u$utypeE$u$u1$u$u1'(X2,X0,X1,X3),X2,'tc$uType$uOtype','tc$uType$uOtype')) ) ).
cnf(cls_T_0,axiom,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur')),'v$ua'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH') ).
cnf(cls_that_0,axiom,
( ~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur')),'v$ua'),X0)
| 'v$uthesis' ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c42,plain,
'c$uList$uOfoldl'(X0,X1,'c$uList$uOlist$uOCons'(X2,X3,X4),X5,X4) = 'c$uList$uOfoldl'(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4),
inference(clausification,[status(esa)],[cls_foldl__Cons_0]) ).
cnf(c276,plain,
( ~ 'c$uType$uOtyping'(X0,'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',X1,X3,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X2)
| 'c$uType$uOtyping'(X0,X1,'c$uList$uOfoldr'('c$uType$uOtype$uOFun','c$uType$uOsko$u$uType$u$uXlist$u$uapp$u$utypeE$u$u1$u$u1'(X2,X0,X1,X3),X2,'tc$uType$uOtype','tc$uType$uOtype')) ),
inference(clausification,[status(esa)],[cls_list__app__typeE_0]) ).
cnf(c397,plain,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur')),'v$ua'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(clausification,[status(esa)],[cls_T_0]) ).
cnf(c401,plain,
( ~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur')),'v$ua'),X0)
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c417,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur'),'c$uList$uOlist$uOCons'('v$ua','v$uas','tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(demodulation,[status(thm)],[c397,c42]) ).
cnf(d1,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur')),'v$ua'),X0),
inference(resolution,[status(thm)],[c417,c401]) ).
cnf(d2,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur')),'v$ua'),X0,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X1),
inference(resolution,[status(thm)],[d1,c276]) ).
cnf(d3,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOAbs'('v$ur'),'c$uList$uOlist$uOCons'('v$ua',X0,'tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),X1),
inference(demodulation,[status(thm)],[d2,c42]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 23:40:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.77/9.76 % SZS status Unsatisfiable for theBenchmark.p
% 67.77/9.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------