%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL795-1 : 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 : n007.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 07:55:27 AM UTC 2026
% Result : Unsatisfiable 37.13s 5.30s
% Output : CNFRefutation 37.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 5 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-5 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_foldr_Osimps_I2_J_0,axiom,
'c$uList$uOfoldr'(X0,'c$uList$uOlist$uOCons'(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),'c$uList$uOfoldr'(X0,X2,X4,X3,X5)) ).
cnf(cls_uT_0,axiom,
'c$uType$uOtyping'('v$ue','v$uu','v$uT') ).
cnf(cls_T_0,axiom,
'v$uT' = hAPP(hAPP('c$uType$uOtype$uOFun','v$uT$uH$uH'),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype')) ).
cnf(cls_lift__type_0,axiom,
( ~ 'c$uType$uOtyping'(X0,X3,X4)
| 'c$uType$uOtyping'('c$uType$uOshift'(X0,X1,X2,'tc$uType$uOtype'),'c$uLambda$uOlift'(X3,X1),X4) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'v$uT$uH$uH','tc$uType$uOtype'),'c$uLambda$uOlift'('v$uu','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),hAPP(hAPP('c$uType$uOtype$uOFun','v$uT$uH$uH'),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype'))) ).
cnf(c847,plain,
'c$uList$uOfoldr'(X0,'c$uList$uOlist$uOCons'(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),'c$uList$uOfoldr'(X0,X2,X4,X3,X5)),
inference(clausification,[status(esa)],[cls_foldr_Osimps_I2_J_0]) ).
cnf(c871,plain,
'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(clausification,[status(esa)],[cls_uT_0]) ).
cnf(c873,plain,
'v$uT' = hAPP(hAPP('c$uType$uOtype$uOFun','v$uT$uH$uH'),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype')),
inference(clausification,[status(esa)],[cls_T_0]) ).
cnf(c874,plain,
( ~ 'c$uType$uOtyping'(X0,X3,X4)
| 'c$uType$uOtyping'('c$uType$uOshift'(X0,X1,X2,'tc$uType$uOtype'),'c$uLambda$uOlift'(X3,X1),X4) ),
inference(clausification,[status(esa)],[cls_lift__type_0]) ).
cnf(c879,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'v$uT$uH$uH','tc$uType$uOtype'),'c$uLambda$uOlift'('v$uu','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),hAPP(hAPP('c$uType$uOtype$uOFun','v$uT$uH$uH'),'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,
'v$uT' = 'c$uList$uOfoldr'('c$uType$uOtype$uOFun','c$uList$uOlist$uOCons'('v$uT$uH$uH','v$uTs','tc$uType$uOtype'),'v$uT$uH','tc$uType$uOtype','tc$uType$uOtype'),
inference(demodulation,[status(thm)],[c873,c847]) ).
cnf(d1,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'v$uT$uH$uH','tc$uType$uOtype'),'c$uLambda$uOlift'('v$uu','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','c$uList$uOlist$uOCons'('v$uT$uH$uH','v$uTs','tc$uType$uOtype'),'v$uT$uH','tc$uType$uOtype','tc$uType$uOtype')),
inference(demodulation,[status(thm)],[c879,c847]) ).
cnf(d2,plain,
~ 'c$uType$uOtyping'('c$uType$uOshift'('v$ue','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'v$uT$uH$uH','tc$uType$uOtype'),'c$uLambda$uOlift'('v$uu','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat')),'v$uT'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ 'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(resolution,[status(thm)],[d2,c874]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c871,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n007.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Fri Sep 25 23:32:54 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.13/5.30 % SZS status Unsatisfiable for theBenchmark.p
% 37.13/5.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------