%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL844-1 : 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 : n016.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 07:55:35 AM UTC 2026
% Result : Unsatisfiable 20.13s 3.06s
% Output : CNFRefutation 20.13s
% 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; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Abs_I2_J_0,axiom,
'c$uInductTermi$uOIT'('v$uta') ).
cnf(cls_Lambda_0,axiom,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOdB$uOAbs'(X0)) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOdB$uOAbs'('v$uta')) ).
cnf(c55,plain,
'c$uInductTermi$uOIT'('v$uta'),
inference(clausification,[status(esa)],[cls_Abs_I2_J_0]) ).
cnf(c60,plain,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOdB$uOAbs'(X0)) ),
inference(clausification,[status(esa)],[cls_Lambda_0]) ).
cnf(c62,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOdB$uOAbs'('v$uta')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uInductTermi$uOIT'('v$uta'),
inference(resolution,[status(thm)],[c60,c62]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c55,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL844-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 25 23:47:29 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.13/3.06 % SZS status Unsatisfiable for theBenchmark.p
% 20.13/3.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------