%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL856-1 : 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 : n007.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 07:55:37 AM UTC 2026
% Result : Unsatisfiable 27.04s 4.38s
% Output : CNFRefutation 27.04s
% 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 : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_IT__implies__termi_0,axiom,
( ~ hBOOL(hAPP('c$uInductTermi$uOIT',X0))
| 'c$uWellfounded$uOaccp'('c$uPredicate$uOconversep'('c$uLambda$uObeta','tc$uLambda$uOdB','tc$uLambda$uOdB'),X0,'tc$uLambda$uOdB') ) ).
cnf(cls_type__implies__IT_0,axiom,
( ~ 'c$uType$uOtyping'(X1,X0,X2)
| hBOOL(hAPP('c$uInductTermi$uOIT',X0)) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uType$uOtyping'('v$ue','v$ut','v$uT') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uWellfounded$uOaccp'('c$uPredicate$uOconversep'('c$uLambda$uObeta','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$ut','tc$uLambda$uOdB') ).
cnf(c137,plain,
( ~ hBOOL(hAPP('c$uInductTermi$uOIT',X0))
| 'c$uWellfounded$uOaccp'('c$uPredicate$uOconversep'('c$uLambda$uObeta','tc$uLambda$uOdB','tc$uLambda$uOdB'),X0,'tc$uLambda$uOdB') ),
inference(clausification,[status(esa)],[cls_IT__implies__termi_0]) ).
cnf(c169,plain,
( ~ 'c$uType$uOtyping'(X1,X0,X2)
| hBOOL(hAPP('c$uInductTermi$uOIT',X0)) ),
inference(clausification,[status(esa)],[cls_type__implies__IT_0]) ).
cnf(c171,plain,
'c$uType$uOtyping'('v$ue','v$ut','v$uT'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c172,plain,
~ 'c$uWellfounded$uOaccp'('c$uPredicate$uOconversep'('c$uLambda$uObeta','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$ut','tc$uLambda$uOdB'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
~ hBOOL(hAPP('c$uInductTermi$uOIT','v$ut')),
inference(resolution,[status(thm)],[c137,c172]) ).
cnf(d1,plain,
hBOOL(hAPP('c$uInductTermi$uOIT','v$ut')),
inference(resolution,[status(thm)],[c169,c171]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 23:41:38 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.04/4.38 % SZS status Unsatisfiable for theBenchmark.p
% 27.04/4.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------