%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL809-1 : 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 : 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 07:55:29 AM UTC 2026
% Result : Unsatisfiable 35.07s 4.88s
% Output : CNFRefutation 35.07s
% 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; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_lift__IT_0,axiom,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOlift'(X0,X1)) ) ).
cnf(cls_CHAINED_0,axiom,
'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui')) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'))) ).
cnf(c1198,plain,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOlift'(X0,X1)) ),
inference(clausification,[status(esa)],[cls_lift__IT_0]) ).
cnf(c1201,plain,
'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui')),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c1202,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ub','v$uu','v$ui')),
inference(resolution,[status(thm)],[c1202,c1198]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c1201,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL809-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.03/0.37 % CPULimit : 300
% 0.03/0.37 % WCLimit : 300
% 0.03/0.37 % DateTime : Fri Sep 25 23:38:03 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.07/4.88 % SZS status Unsatisfiable for theBenchmark.p
% 35.07/4.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------