%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL848-1 : 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 : n019.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 07:55:36 AM UTC 2026
% Result : Unsatisfiable 34.86s 17.20s
% Output : CNFRefutation 34.86s
% 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 : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_IT_OVar_0,axiom,
( ~ 'c$uList$uOlistsp'('c$uInductTermi$uOIT',X1,'tc$uLambda$uOdB')
| hBOOL(hAPP('c$uInductTermi$uOIT','c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'(X0),X1,'tc$uLambda$uOdB','tc$uLambda$uOdB'))) ) ).
cnf(cls_CHAINED_0,axiom,
'c$uList$uOlistsp'('c$uInductTermi$uOIT','c$uList$uOlist$uOCons'(hAPP(hAPP('c$uLambda$uOlift','v$uta'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB'),'tc$uLambda$uOdB') ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP('c$uInductTermi$uOIT','c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uOCons'(hAPP(hAPP('c$uLambda$uOlift','v$uta'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'))) ).
cnf(c626,plain,
( ~ 'c$uList$uOlistsp'('c$uInductTermi$uOIT',X1,'tc$uLambda$uOdB')
| hBOOL(hAPP('c$uInductTermi$uOIT','c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'(X0),X1,'tc$uLambda$uOdB','tc$uLambda$uOdB'))) ),
inference(clausification,[status(esa)],[cls_IT_OVar_0]) ).
cnf(c657,plain,
'c$uList$uOlistsp'('c$uInductTermi$uOIT','c$uList$uOlist$uOCons'(hAPP(hAPP('c$uLambda$uOlift','v$uta'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB'),'tc$uLambda$uOdB'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c658,plain,
~ hBOOL(hAPP('c$uInductTermi$uOIT','c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uOCons'(hAPP(hAPP('c$uLambda$uOlift','v$uta'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uList$uOlistsp'('c$uInductTermi$uOIT','c$uList$uOlist$uOCons'(hAPP(hAPP('c$uLambda$uOlift','v$uta'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB'),'tc$uLambda$uOdB'),
inference(resolution,[status(thm)],[c658,c626]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c657,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL848-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.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 23:43:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.86/17.20 % SZS status Unsatisfiable for theBenchmark.p
% 34.86/17.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------