%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV989-1 : 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 : n003.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 09:05:01 AM UTC 2026
% Result : Unsatisfiable 257.92s 66.97s
% Output : CNFRefutation 257.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 15 unt; 0 nHn; 31 RR)
% Number of literals : 73 ( 0 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 13 con; 0-5 aty)
% Number of variables : 61 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_wf__prog__wwf__prog_0,axiom,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| 'c$uWellForm$uOwf$u$uprog'('c$uWWellForm$uOwwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))) ) ).
cnf(cls_big__by__small_0,axiom,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uWWellForm$uOwwf$u$uJ$u$umdecl',X4,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uBigStep$uOeval'(X4,X0,X1,X2,X3)
| 'c$uin'('c$uPair'('c$uPair'(X0,X1,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'(X2,X3,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'(X4),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))))) ) ).
cnf(cls_Red__preserves__type_1,axiom,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uin'('c$uPair'('c$uPair'(X6,X5,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'(X3,X1,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'(X0),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))))
| ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'(X0,X2,X5)
| ~ 'c$uWellTypeRT$uOWTrt'(X0,hAPP('c$uState$uOhp',X5),X2,X6,X4)
| 'c$uWellTypeRT$uOWTrt'(X0,hAPP('c$uState$uOhp',X1),X2,X3,'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X2,X0,X4,X3,X1)) ) ).
cnf(cls_Red__preserves__type_0,axiom,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uin'('c$uPair'('c$uPair'(X6,X5,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'(X3,X4,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'(X0),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))))
| ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'(X0,X1,X5)
| ~ 'c$uWellTypeRT$uOWTrt'(X0,hAPP('c$uState$uOhp',X5),X1,X6,X2)
| hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X1,X0,X2,X3,X4)),X2)) ) ).
cnf(cls_wf_0,axiom,
'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl','v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))) ).
cnf(cls_WT__implies__WTrt_0,axiom,
( ~ 'c$uWellType$uOWT'(X0,X2,X3,X4)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,X4) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uBigStep$uOeval'('v$uP','v$ue','v$us','v$ue$uH','v$us$uH') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP','v$uE','v$us') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uWellType$uOWT'('v$uP','v$uE','v$ue','v$uT') ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X0),'v$uT'))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us$uH'),'v$uE','v$ue$uH',X0) ) ).
cnf(c181,plain,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| 'c$uWellForm$uOwf$u$uprog'('c$uWWellForm$uOwwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))) ),
inference(clausification,[status(esa)],[cls_wf__prog__wwf__prog_0]) ).
cnf(c195,plain,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uWWellForm$uOwwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| 'c$uin'('c$uPair'('c$uPair'(X1,X2,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'(X3,X4,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'(X0),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))))
| ~ 'c$uBigStep$uOeval'(X0,X1,X2,X3,X4) ),
inference(clausification,[status(esa)],[cls_big__by__small_0]) ).
cnf(c328,plain,
( 'c$uWellTypeRT$uOWTrt'(X0,hAPP('c$uState$uOhp',X4),X5,X3,'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X5,X0,X6,X3,X4))
| ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'(X0,X5,X2)
| ~ 'c$uWellTypeRT$uOWTrt'(X0,hAPP('c$uState$uOhp',X2),X5,X1,X6)
| ~ 'c$uin'('c$uPair'('c$uPair'(X1,X2,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'(X3,X4,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'(X0),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))))
| ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))) ),
inference(clausification,[status(esa)],[cls_Red__preserves__type_1]) ).
cnf(c344,plain,
( ~ 'c$uin'('c$uPair'('c$uPair'(X3,X1,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'(X5,X6,'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'(X0),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))))
| hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'(X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X2,X0,X4,X5,X6)),X4))
| ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl',X0,'tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'(X0,X2,X1)
| ~ 'c$uWellTypeRT$uOWTrt'(X0,hAPP('c$uState$uOhp',X1),X2,X3,X4) ),
inference(clausification,[status(esa)],[cls_Red__preserves__type_0]) ).
cnf(c419,plain,
'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl','v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),
inference(clausification,[status(esa)],[cls_wf_0]) ).
cnf(c447,plain,
( ~ 'c$uWellType$uOWT'(X0,X2,X3,X4)
| 'c$uWellTypeRT$uOWTrt'(X0,X1,X2,X3,X4) ),
inference(clausification,[status(esa)],[cls_WT__implies__WTrt_0]) ).
cnf(c455,plain,
'c$uBigStep$uOeval'('v$uP','v$ue','v$us','v$ue$uH','v$us$uH'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c456,plain,
'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP','v$uE','v$us'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c457,plain,
'c$uWellType$uOWT'('v$uP','v$uE','v$ue','v$uT'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c458,plain,
( ~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),X0),'v$uT'))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us$uH'),'v$uE','v$ue$uH',X0) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
'c$uWellTypeRT$uOWTrt'('v$uP',X0,'v$uE','v$ue','v$uT'),
inference(resolution,[status(thm)],[c447,c457]) ).
cnf(d1,plain,
( ~ 'c$uWellForm$uOwf$u$uprog'('c$uWWellForm$uOwwf$u$uJ$u$umdecl','v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| 'c$uin'('c$uPair'('c$uPair'('v$ue','v$us','tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'('v$ue$uH','v$us$uH','tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'('v$uP'),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))))) ),
inference(resolution,[status(thm)],[c195,c455]) ).
cnf(d2,plain,
'c$uWellForm$uOwf$u$uprog'('c$uWWellForm$uOwwf$u$uJ$u$umdecl','v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),
inference(resolution,[status(thm)],[c181,c419]) ).
cnf(d3,plain,
'c$uin'('c$uPair'('c$uPair'('v$ue','v$us','tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'c$uPair'('v$ue$uH','v$us$uH','tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'c$uTransitive$u$uClosure$uOrtrancl'('c$uSmallStep$uOred'('v$uP'),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$uprod'('tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))),'tc$uprod'('tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uprod'('tc$ufun'('tc$unat','tc$uOption$uOoption'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$ufun'('tc$uprod'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uList$uOlist'('tc$uString$uOchar')),'tc$uOption$uOoption'('tc$uValue$uOval'))))),'tc$ufun'('tc$uList$uOlist'('tc$uString$uOchar'),'tc$uOption$uOoption'('tc$uValue$uOval')))))),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP',X0,'v$us')
| hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X0,'v$uP',X1,'v$ue$uH','v$us$uH')),X1))
| ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl','v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us'),X0,'v$ue',X1) ),
inference(resolution,[status(thm)],[d3,c344]) ).
cnf(d5,plain,
( ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP',X0,'v$us')
| hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X0,'v$uP',X1,'v$ue$uH','v$us$uH')),X1))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us'),X0,'v$ue',X1) ),
inference(resolution,[status(thm)],[c419,d4]) ).
cnf(d6,plain,
( ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP','v$uE','v$us')
| hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'('v$uE','v$uP','v$uT','v$ue$uH','v$us$uH')),'v$uT')) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'('v$uE','v$uP','v$uT','v$ue$uH','v$us$uH')),'v$uT')),
inference(resolution,[status(thm)],[c456,d6]) ).
cnf(d8,plain,
( ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP',X0,'v$us')
| ~ 'c$uWellForm$uOwf$u$uprog'('c$uJWellForm$uOwf$u$uJ$u$umdecl','v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar'))))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us'),X0,'v$ue',X1)
| 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us$uH'),X0,'v$ue$uH','v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X0,'v$uP',X1,'v$ue$uH','v$us$uH')) ),
inference(resolution,[status(thm)],[d3,c328]) ).
cnf(d9,plain,
( ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP',X0,'v$us')
| 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us$uH'),X0,'v$ue$uH','v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'(X0,'v$uP',X1,'v$ue$uH','v$us$uH'))
| ~ 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us'),X0,'v$ue',X1) ),
inference(resolution,[status(thm)],[c419,d8]) ).
cnf(d10,plain,
( ~ 'c$uTypeSafe$u$uMirabelle$uOsconf'('v$uP','v$uE','v$us')
| 'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us$uH'),'v$uE','v$ue$uH','v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'('v$uE','v$uP','v$uT','v$ue$uH','v$us$uH')) ),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
'c$uWellTypeRT$uOWTrt'('v$uP',hAPP('c$uState$uOhp','v$us$uH'),'v$uE','v$ue$uH','v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'('v$uE','v$uP','v$uT','v$ue$uH','v$us$uH')),
inference(resolution,[status(thm)],[c456,d10]) ).
cnf(d12,plain,
~ hBOOL(hAPP(hAPP('c$uTypeRel$uOwiden'('v$uP','tc$uprod'('tc$uList$uOlist'('tc$uList$uOlist'('tc$uString$uOchar')),'tc$uExpr$uOexp'('tc$uList$uOlist'('tc$uString$uOchar')))),'v$usko$u$uTypeSafe$u$uMirabelle$u$uXRed$u$upreserves$u$utype$u$u1'('v$uE','v$uP','v$uT','v$ue$uH','v$us$uH')),'v$uT')),
inference(resolution,[status(thm)],[d11,c458]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV989-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 15:21:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 257.92/66.97 % SZS status Unsatisfiable for theBenchmark.p
% 257.92/66.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------