%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL851-1 : 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 : n004.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 07:55:36 AM UTC 2026
% Result : Unsatisfiable 13.52s 10.11s
% Output : CNFRefutation 13.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_lift__type_0,axiom,
( ~ 'c$uType$uOtyping'(X0,X3,X4)
| 'c$uType$uOtyping'('c$uType$uOshift'(X0,X1,X2,'tc$uType$uOtype'),'c$uLambda$uOlift'(X3,X1),X4) ) ).
cnf(cls_App_I3_J_0,axiom,
'c$uType$uOtyping'('v$uea','v$uta','v$uTa') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$uea','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uType$uOtype$uOFun'('v$uTa','v$uU'),'tc$uType$uOtype'),'c$uLambda$uOlift'('v$uta','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'v$uTa') ).
cnf(c900,plain,
( ~ 'c$uType$uOtyping'(X0,X3,X4)
| 'c$uType$uOtyping'('c$uType$uOshift'(X0,X1,X2,'tc$uType$uOtype'),'c$uLambda$uOlift'(X3,X1),X4) ),
inference(clausification,[status(esa)],[cls_lift__type_0]) ).
cnf(c904,plain,
'c$uType$uOtyping'('v$uea','v$uta','v$uTa'),
inference(clausification,[status(esa)],[cls_App_I3_J_0]) ).
cnf(c905,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$uea','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uType$uOtype$uOFun'('v$uTa','v$uU'),'tc$uType$uOtype'),'c$uLambda$uOlift'('v$uta','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'v$uTa'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uType$uOtyping'('v$uea','v$uta','v$uTa'),
inference(resolution,[status(thm)],[c905,c900]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c904,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 23:43:06 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.52/10.11 % SZS status Unsatisfiable for theBenchmark.p
% 13.52/10.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------