%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL821-1 : 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 : n015.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 07:55:31 AM UTC 2026
% Result : Unsatisfiable 56.88s 8.61s
% Output : CNFRefutation 56.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-5 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_var__app__typesE_1,axiom,
( ~ 'c$uType$uOtyping'(X0,'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'(X3),X1,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X2)
| 'c$uType$uOtypings'(X0,X1,'c$uType$uOsko$u$uType$u$uXvar$u$uapp$u$utypesE$u$u1$u$u1'(X2,X0,X3,X1)) ) ).
cnf(cls_that_0,axiom,
( ~ 'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$urs',X0)
| 'v$uthesis' ) ).
cnf(cls_nT_0,axiom,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un'),'v$urs','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c328,plain,
( ~ 'c$uType$uOtyping'(X0,'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'(X3),X1,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X2)
| 'c$uType$uOtypings'(X0,X1,'c$uType$uOsko$u$uType$u$uXvar$u$uapp$u$utypesE$u$u1$u$u1'(X2,X0,X3,X1)) ),
inference(clausification,[status(esa)],[cls_var__app__typesE_1]) ).
cnf(c340,plain,
( ~ 'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$urs',X0)
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c341,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$uOVar'('v$un'),'v$urs','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(clausification,[status(esa)],[cls_nT_0]) ).
cnf(c344,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$urs','c$uType$uOsko$u$uType$u$uXvar$u$uapp$u$utypesE$u$u1$u$u1'('v$uT$uH','c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$un','v$urs')),
inference(resolution,[status(thm)],[c341,c328]) ).
cnf(d1,plain,
~ 'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$urs',X0),
inference(resolution,[status(thm)],[c344,c340]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 23:41:57 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.88/8.61 % SZS status Unsatisfiable for theBenchmark.p
% 56.88/8.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------