%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL805-1 : 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 : 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 07:55:29 AM UTC 2026
% Result : Unsatisfiable 30.13s 5.75s
% Output : CNFRefutation 30.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 2 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_listsp_ONil_0,axiom,
'c$uList$uOlistsp'(X0,'c$uList$uOlist$uONil'(X1),X1) ).
cnf(cls_Nil__is__map__conv_1,axiom,
'c$uList$uOlist$uONil'(X0) = 'c$uList$uOmap'(X1,'c$uList$uOlist$uONil'(X2),X2,X0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uList$uOlistsp'('c$uInductTermi$uOIT','c$uList$uOmap'('c$uCOMBC'('c$uLambda$uOlift','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uList$uOmap'('c$uCOMBC'('c$uCOMBC'('c$uLambda$uOsubst','v$uu','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$ui','tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'tc$uLambda$uOdB') ).
cnf(c834,plain,
'c$uList$uOlistsp'(X0,'c$uList$uOlist$uONil'(X1),X1),
inference(clausification,[status(esa)],[cls_listsp_ONil_0]) ).
cnf(c839,plain,
'c$uList$uOlist$uONil'(X0) = 'c$uList$uOmap'(X1,'c$uList$uOlist$uONil'(X2),X2,X0),
inference(clausification,[status(esa)],[cls_Nil__is__map__conv_1]) ).
cnf(c840,plain,
~ 'c$uList$uOlistsp'('c$uInductTermi$uOIT','c$uList$uOmap'('c$uCOMBC'('c$uLambda$uOlift','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uList$uOmap'('c$uCOMBC'('c$uCOMBC'('c$uLambda$uOsubst','v$uu','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$ui','tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB','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$uList$uOmap'('c$uCOMBC'('c$uLambda$uOlift','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'tc$uLambda$uOdB'),
inference(demodulation,[status(thm)],[c840,c839]) ).
cnf(d1,plain,
~ 'c$uList$uOlistsp'('c$uInductTermi$uOIT','c$uList$uOlist$uONil'('tc$uLambda$uOdB'),'tc$uLambda$uOdB'),
inference(demodulation,[status(thm)],[d0,c839]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c834,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL805-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 23:36:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.13/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 30.13/5.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------