%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL756-1 : 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 07:55:21 AM UTC 2026
% Result : Unsatisfiable 21.05s 4.97s
% Output : CNFRefutation 21.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ura','c$uLambda$uOdB$uOVar'(X0),X1)) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ura','c$uLambda$uOdB$uOVar'('c$uSuc'('v$uia')),'c$uSuc'('v$uja'))) ).
cnf(c723,plain,
'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ura','c$uLambda$uOdB$uOVar'(X0),X1)),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c724,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOsubst'('v$ura','c$uLambda$uOdB$uOVar'('c$uSuc'('v$uia')),'c$uSuc'('v$uja'))),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c723,c724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 23:30:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.05/4.97 % SZS status Unsatisfiable for theBenchmark.p
% 21.05/4.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------