%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL839-1 : 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 : n020.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 4.16s 14.28s
% Output : CNFRefutation 4.16s
% 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 : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_typing__elims_I2_J_1,axiom,
( ~ 'c$uType$uOtyping'(X0,hAPP(hAPP('c$uLambda$uOdB$uOApp',X3),X1),X2)
| 'c$uType$uOtyping'(X0,X1,'c$uType$uOsko$u$uType$u$uXtyping$u$uelims$u$u2$u$u1'(X2,X0,X3,X1)) ) ).
cnf(cls_that_0,axiom,
( ~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$ua',X0)
| 'v$uthesis' ) ).
cnf(cls_CHAINED_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$ua'),'v$uUa') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c135,plain,
( ~ 'c$uType$uOtyping'(X0,hAPP(hAPP('c$uLambda$uOdB$uOApp',X3),X1),X2)
| 'c$uType$uOtyping'(X0,X1,'c$uType$uOsko$u$uType$u$uXtyping$u$uelims$u$u2$u$u1'(X2,X0,X3,X1)) ),
inference(clausification,[status(esa)],[cls_typing__elims_I2_J_1]) ).
cnf(c360,plain,
( ~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$ua',X0)
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c363,plain,
'c$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'),'v$uUa'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c364,plain,
~ 'v$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$uOtype'),'v$ua','c$uType$uOsko$u$uType$u$uXtyping$u$uelims$u$u2$u$u1'('v$uUa','c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uLambda$uOdB$uOAbs'('v$ur'),'v$ua')),
inference(resolution,[status(thm)],[c363,c135]) ).
cnf(d1,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$ua',X0),
inference(resolution,[status(thm)],[c364,c360]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n020.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 23:43:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.16/14.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.16/14.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------