%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL815-1 : 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 : n002.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 07:55:31 AM UTC 2026
% Result : Unsatisfiable 93.06s 43.63s
% Output : CNFRefutation 93.06s
% 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-5 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_lift__types_0,axiom,
( ~ 'c$uType$uOtypings'(X0,X3,X4)
| 'c$uType$uOtypings'('c$uType$uOshift'(X0,X1,X2,'tc$uType$uOtype'),'c$uList$uOmap'(hAPP('c$uCOMBC'('c$uLambda$uOlift','tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),X1),X3,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X4) ) ).
cnf(cls_CHAINED_0,axiom,
'c$uType$uOtypings'('v$ue','c$uList$uOmap'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uLambda$uOsubst','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$uu'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'v$ui'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uTs') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uType$uOtypings'('c$uType$uOshift'('v$ue','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype'),'tc$uType$uOtype'),'c$uList$uOmap'(hAPP('c$uCOMBC'('c$uLambda$uOlift','tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOmap'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uLambda$uOsubst','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$uu'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'v$ui'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uTs') ).
cnf(c782,plain,
( ~ 'c$uType$uOtypings'(X0,X3,X4)
| 'c$uType$uOtypings'('c$uType$uOshift'(X0,X1,X2,'tc$uType$uOtype'),'c$uList$uOmap'(hAPP('c$uCOMBC'('c$uLambda$uOlift','tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),X1),X3,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X4) ),
inference(clausification,[status(esa)],[cls_lift__types_0]) ).
cnf(c784,plain,
'c$uType$uOtypings'('v$ue','c$uList$uOmap'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uLambda$uOsubst','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$uu'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'v$ui'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uTs'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c785,plain,
~ 'c$uType$uOtypings'('c$uType$uOshift'('v$ue','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype'),'tc$uType$uOtype'),'c$uList$uOmap'(hAPP('c$uCOMBC'('c$uLambda$uOlift','tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOmap'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uLambda$uOsubst','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$uu'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'v$ui'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uTs'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uType$uOtypings'('v$ue','c$uList$uOmap'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uLambda$uOsubst','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),'v$uu'),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),'v$ui'),'v$uas','tc$uLambda$uOdB','tc$uLambda$uOdB'),'v$uTs'),
inference(resolution,[status(thm)],[c785,c782]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c784,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL815-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.59 % Computer : n002.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Fri Sep 25 23:40:13 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.06/43.63 % SZS status Unsatisfiable for theBenchmark.p
% 93.06/43.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------