%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL792-1 : 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 : n006.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 07:55:27 AM UTC 2026
% Result : Unsatisfiable 27.60s 4.90s
% Output : CNFRefutation 27.60s
% 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 : 4 ( 4 usr; 2 con; 0-2 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_uIT_0,axiom,
'c$uInductTermi$uOIT'('v$uu') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('v$uu','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'))) ).
cnf(c1190,plain,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOlift'(X0,X1)) ),
inference(clausification,[status(esa)],[cls_lift__IT_0]) ).
cnf(c1191,plain,
'c$uInductTermi$uOIT'('v$uu'),
inference(clausification,[status(esa)],[cls_uIT_0]) ).
cnf(c1192,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('v$uu','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uInductTermi$uOIT'('v$uu'),
inference(resolution,[status(thm)],[c1190,c1192]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c1191,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.57 % Computer : n006.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Fri Sep 25 23:34:29 UTC 2026
% 0.08/0.58 % CPUTime :
% 0.08/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.60/4.90 % SZS status Unsatisfiable for theBenchmark.p
% 27.60/4.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------