%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL822-1 : 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 : n001.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 07:55:32 AM UTC 2026
% Result : Unsatisfiable 27.92s 3.98s
% Output : CNFRefutation 27.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_lists__typings_0,axiom,
( ~ 'c$uType$uOtypings'(X0,X1,X2)
| 'c$uList$uOlistsp'('c$uCOMBB'('c$uEx'('tc$uType$uOtype'),'c$uType$uOtyping'(X0),'tc$ufun'('tc$uType$uOtype','tc$ubool'),'tc$ubool','tc$uLambda$uOdB'),X1,'tc$uLambda$uOdB') ) ).
cnf(cls_CHAINED_0,axiom,
'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$urs','v$uTs') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uList$uOlistsp'('c$uCOMBB'('c$uEx'('tc$uType$uOtype'),'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype')),'tc$ufun'('tc$uType$uOtype','tc$ubool'),'tc$ubool','tc$uLambda$uOdB'),'v$urs','tc$uLambda$uOdB') ).
cnf(c188,plain,
( ~ 'c$uType$uOtypings'(X0,X1,X2)
| 'c$uList$uOlistsp'('c$uCOMBB'('c$uEx'('tc$uType$uOtype'),'c$uType$uOtyping'(X0),'tc$ufun'('tc$uType$uOtype','tc$ubool'),'tc$ubool','tc$uLambda$uOdB'),X1,'tc$uLambda$uOdB') ),
inference(clausification,[status(esa)],[cls_lists__typings_0]) ).
cnf(c209,plain,
'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$urs','v$uTs'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c210,plain,
~ 'c$uList$uOlistsp'('c$uCOMBB'('c$uEx'('tc$uType$uOtype'),'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype')),'tc$ufun'('tc$uType$uOtype','tc$ubool'),'tc$ubool','tc$uLambda$uOdB'),'v$urs','tc$uLambda$uOdB'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
'c$uList$uOlistsp'('c$uCOMBB'('c$uEx'('tc$uType$uOtype'),'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype')),'tc$ufun'('tc$uType$uOtype','tc$ubool'),'tc$ubool','tc$uLambda$uOdB'),'v$urs','tc$uLambda$uOdB'),
inference(resolution,[status(thm)],[c188,c209]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c210,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL822-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.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 23:44:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.92/3.98 % SZS status Unsatisfiable for theBenchmark.p
% 27.92/3.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------