%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL785-1 : 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 07:55:25 AM UTC 2026
% Result : Unsatisfiable 26.50s 3.78s
% Output : CNFRefutation 26.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 13 RR)
% Number of literals : 15 ( 6 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-5 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_True_0,axiom,
'v$un' = 'v$ui' ).
cnf(cls_nT_0,axiom,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un'),'v$urs','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH') ).
cnf(cls_foldl__Cons_0,axiom,
'c$uList$uOfoldl'(X0,X1,'c$uList$uOlist$uOCons'(X2,X3,X4),X5,X4) = 'c$uList$uOfoldl'(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4) ).
cnf(cls_Cons_0,axiom,
'v$urs' = 'c$uList$uOlist$uOCons'('v$ua','v$uas','tc$uLambda$uOdB') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un')),'v$ua'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH') ).
cnf(c349,plain,
'v$un' = 'v$ui',
inference(clausification,[status(esa)],[cls_True_0]) ).
cnf(c359,plain,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un'),'v$urs','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(clausification,[status(esa)],[cls_nT_0]) ).
cnf(c368,plain,
'c$uList$uOfoldl'(X0,X1,'c$uList$uOlist$uOCons'(X2,X3,X4),X5,X4) = 'c$uList$uOfoldl'(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4),
inference(clausification,[status(esa)],[cls_foldl__Cons_0]) ).
cnf(c381,plain,
'v$urs' = 'c$uList$uOlist$uOCons'('v$ua','v$uas','tc$uLambda$uOdB'),
inference(clausification,[status(esa)],[cls_Cons_0]) ).
cnf(c395,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un')),'v$ua'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$un','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp',hAPP(hAPP('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un')),'v$ua'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(demodulation,[status(thm)],[c395,c349]) ).
cnf(d1,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$un','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un'),'c$uList$uOlist$uOCons'('v$ua','v$uas','tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(demodulation,[status(thm)],[d0,c368]) ).
cnf(d2,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$un','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un'),'v$urs','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(demodulation,[status(thm)],[d1,c381]) ).
cnf(d3,plain,
'c$uType$uOtyping'('c$uType$uOshift'('v$ue','v$un','v$uT','tc$uType$uOtype'),'c$uList$uOfoldl'('c$uLambda$uOdB$uOApp','c$uLambda$uOdB$uOVar'('v$un'),'v$urs','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uT$uH'),
inference(demodulation,[status(thm)],[c359,c349]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL785-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n019.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Fri Sep 25 23:33:48 UTC 2026
% 0.09/0.33 % CPUTime :
% 0.09/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.50/3.78 % SZS status Unsatisfiable for theBenchmark.p
% 26.50/3.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------