%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL814-1 : 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 : 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 07:55:30 AM UTC 2026
% Result : Unsatisfiable 73.76s 11.05s
% Output : CNFRefutation 73.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_uT_0,axiom,
'c$uType$uOtyping'('v$ue','v$uu','v$uT') ).
cnf(cls_argsT_0,axiom,
'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$uas','v$uTs') ).
cnf(cls_substs__lemma_0,axiom,
( ~ 'c$uType$uOtyping'(X0,X1,X5)
| ~ 'c$uType$uOtypings'('c$uType$uOshift'(X0,X2,X5,'tc$uType$uOtype'),X3,X4)
| 'c$uType$uOtypings'(X0,'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')),X1),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),X2),X3,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X4) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$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$uTs') ).
cnf(c590,plain,
'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(clausification,[status(esa)],[cls_uT_0]) ).
cnf(c607,plain,
'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui','v$uT','tc$uType$uOtype'),'v$uas','v$uTs'),
inference(clausification,[status(esa)],[cls_argsT_0]) ).
cnf(c615,plain,
( ~ 'c$uType$uOtyping'(X0,X1,X5)
| ~ 'c$uType$uOtypings'('c$uType$uOshift'(X0,X2,X5,'tc$uType$uOtype'),X3,X4)
| 'c$uType$uOtypings'(X0,'c$uList$uOmap'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uLambda$uOsubst','tc$uLambda$uOdB','tc$uLambda$uOdB','tc$ufun'('tc$unat','tc$uLambda$uOdB')),X1),'tc$uLambda$uOdB','tc$unat','tc$uLambda$uOdB'),X2),X3,'tc$uLambda$uOdB','tc$uLambda$uOdB'),X4) ),
inference(clausification,[status(esa)],[cls_substs__lemma_0]) ).
cnf(c628,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_conjecture_0]) ).
cnf(d0,plain,
( ~ 'c$uType$uOtypings'('c$uType$uOshift'('v$ue','v$ui',X0,'tc$uType$uOtype'),'v$uas','v$uTs')
| ~ 'c$uType$uOtyping'('v$ue','v$uu',X0) ),
inference(resolution,[status(thm)],[c628,c615]) ).
cnf(d1,plain,
~ 'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(resolution,[status(thm)],[d0,c607]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c590,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL814-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 23:38:34 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.76/11.05 % SZS status Unsatisfiable for theBenchmark.p
% 73.76/11.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------