%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL813-1 : 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 : n016.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 51.88s 19.72s
% Output : CNFRefutation 51.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 2 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-5 aty)
% Number of variables : 16 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_shift__eq_0,axiom,
hAPP('c$uType$uOshift'(X0,X1,X2,X3),X1) = X2 ).
cnf(cls_typing_OVar_0,axiom,
'c$uType$uOtyping'(X0,'c$uLambda$uOdB$uOVar'(X1),hAPP(X0,X1)) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uType$uOtyping'('c$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$uLambda$uOdB$uOVar'('c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype')) ).
cnf(c892,plain,
hAPP('c$uType$uOshift'(X0,X1,X2,X3),X1) = X2,
inference(clausification,[status(esa)],[cls_shift__eq_0]) ).
cnf(c894,plain,
'c$uType$uOtyping'(X0,'c$uLambda$uOdB$uOVar'(X1),hAPP(X0,X1)),
inference(clausification,[status(esa)],[cls_typing_OVar_0]) ).
cnf(c895,plain,
~ 'c$uType$uOtyping'('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$uOtype'),'c$uLambda$uOdB$uOVar'('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')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
'c$uType$uOtyping'('c$uType$uOshift'(X0,X1,X2,X3),'c$uLambda$uOdB$uOVar'(X1),X2),
inference(superposition,[status(thm)],[c892,c894]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c895]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.37 % Computer : n016.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Fri Sep 25 23:42:25 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.88/19.72 % SZS status Unsatisfiable for theBenchmark.p
% 51.88/19.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------