%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL789-1 : 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 : n009.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 07:55:26 AM UTC 2026
% Result : Unsatisfiable 21.04s 4.00s
% Output : CNFRefutation 21.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 12 ( 5 equ; 4 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; 8 con; 0-5 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_uT_0,axiom,
'c$uType$uOtyping'('v$ue','v$uu','v$uT') ).
cnf(cls_foldr_Osimps_I2_J_0,axiom,
'c$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_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$uOtype')) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uType$uOtyping'('v$ue','v$uu',hAPP(hAPP('c$uType$uOtype$uOFun','v$uT$uH$uH'),'c$uList$uOfoldr'('c$uType$uOtype$uOFun','v$uTs','v$uT$uH','tc$uType$uOtype','tc$uType$uOtype'))) ).
cnf(c268,plain,
'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(clausification,[status(esa)],[cls_uT_0]) ).
cnf(c273,plain,
'c$uList$uOfoldr'(X0,'c$uList$uOlist$uOCons'(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),'c$uList$uOfoldr'(X0,X2,X4,X3,X5)),
inference(clausification,[status(esa)],[cls_foldr_Osimps_I2_J_0]) ).
cnf(c287,plain,
'v$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(c299,plain,
~ 'c$uType$uOtyping'('v$ue','v$uu',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$uOtype'),
inference(demodulation,[status(thm)],[c287,c273]) ).
cnf(d1,plain,
~ 'c$uType$uOtyping'('v$ue','v$uu','c$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$uOtype')),
inference(demodulation,[status(thm)],[c299,c273]) ).
cnf(d2,plain,
~ 'c$uType$uOtyping'('v$ue','v$uu','v$uT'),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c268,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL789-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 23:34:14 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.04/4.00 % SZS status Unsatisfiable for theBenchmark.p
% 21.04/4.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------