%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL808-1 : 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 : 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 07:55:29 AM UTC 2026
% Result : Unsatisfiable 16.49s 2.82s
% Output : CNFRefutation 16.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_uIT_0,axiom,
'c$uInductTermi$uOIT'('v$uu') ).
cnf(cls_CHAINED_0,axiom,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$ub','v$uUa') ).
cnf(cls_CHAINED_0_01,axiom,
( ~ 'c$uType$uOtyping'('c$uType$uOshift'(X2,X1,'v$uT','tc$uType$uOtype'),'v$ub',X3)
| ~ 'c$uInductTermi$uOIT'(X0)
| ~ 'c$uType$uOtyping'(X2,X0,'v$uT')
| 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub',X0,X1)) ) ).
cnf(cls_CHAINED_0_03,axiom,
'c$uType$uOtyping'('v$ue','v$uu','v$uT') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui')) ).
cnf(c62,plain,
'c$uInductTermi$uOIT'('v$uu'),
inference(clausification,[status(esa)],[cls_uIT_0]) ).
cnf(c64,plain,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$ub','v$uUa'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c65,plain,
( ~ 'c$uType$uOtyping'('c$uType$uOshift'(X2,X1,'v$uT','tc$uType$uOtype'),'v$ub',X3)
| ~ 'c$uInductTermi$uOIT'(X0)
| ~ 'c$uType$uOtyping'(X2,X0,'v$uT')
| 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub',X0,X1)) ),
inference(clausification,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(c67,plain,
'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(clausification,[status(esa)],[cls_CHAINED_0_03]) ).
cnf(c68,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
( ~ 'c$uType$uOtyping'('v$ue',X0,'v$uT')
| 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub',X0,'v$ui'))
| ~ 'c$uInductTermi$uOIT'(X0) ),
inference(resolution,[status(thm)],[c65,c64]) ).
cnf(d1,plain,
( ~ 'c$uType$uOtyping'('v$ue','v$uu','v$uT')
| ~ 'c$uInductTermi$uOIT'('v$uu') ),
inference(resolution,[status(thm)],[d0,c68]) ).
cnf(d2,plain,
~ 'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(resolution,[status(thm)],[c62,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c67,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL808-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 23:39:44 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.49/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 16.49/2.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------