CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV995-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:27:54 PM UTC 2026

% Result   : Unsatisfiable 0.80s 1.72s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_524)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_RangeE_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeE_0) ).

cnf(cls_Range__def_0,axiom,
    c_Relation_ORange(X1,X2,X3) = c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__def_0) ).

cnf(cls_Range__iff_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_0) ).

cnf(cls_RangeI_0,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeI_0) ).

cnf(cls_Range__iff_1,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_1) ).

cnf(cls_Range__converse_0,axiom,
    c_Relation_ORange(c_Relation_Oconverse(X1,X2,X3),X3,X2) = c_Relation_ODomain(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__converse_0) ).

cnf(cls_trancl__range_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__range_0) ).

cnf(cls_FAssRedsThrow2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X4,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X10,tc_List_Olist(tc_String_Ochar)),X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRedsThrow2_0) ).

cnf(cls_BinOpRedsThrow2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X3,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOpRedsThrow2_0) ).

cnf(cls_SeqReds2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X8,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SeqReds2_0) ).

cnf(cls_Red__lcl__add_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X3,X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,c_Map_Omap__add(X3,X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__lcl__add_0) ).

cnf(cls_red__lcl__add_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X3,X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,c_Map_Omap__add(X3,X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__lcl__add_0) ).

cnf(cls_FAssReds2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssReds2_0) ).

cnf(cls_TryReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_TryReds_0) ).

cnf(cls_FAssReds1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssReds1_0) ).

cnf(cls_TryRedsVal_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_TryRedsVal_0) ).

cnf(cls_FAssRedsThrow1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRedsThrow1_0) ).

cnf(cls_BinOp2Reds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOp2Reds_0) ).

cnf(cls_CallRedsObj_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallRedsObj_0) ).

cnf(cls_FAccReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAccReds_0) ).

cnf(cls_CondReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondReds_0) ).

cnf(cls_BinOp1Reds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOp1Reds_0) ).

cnf(cls_CallRedsThrowObj_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallRedsThrowObj_0) ).

cnf(cls_FAccRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAccRedsThrow_0) ).

cnf(cls_CondRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondRedsThrow_0) ).

cnf(cls_BinOpRedsThrow1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOpRedsThrow1_0) ).

cnf(cls_LAssReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssReds_0) ).

cnf(cls_CastReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastReds_0) ).

cnf(cls_SeqReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X4,X2,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SeqReds_0) ).

cnf(cls_LAssRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRedsThrow_0) ).

cnf(cls_CastRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastRedsThrow_0) ).

cnf(cls_WhileRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileRedsThrow_0) ).

cnf(cls_SeqRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SeqRedsThrow_0) ).

cnf(cls_ThrowRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ThrowRedsThrow_0) ).

cnf(cls_ThrowReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ThrowReds_0) ).

cnf(cls_red__reds_OFAssRed2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssRed2_0) ).

cnf(cls_red__reds_OTryRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OTryRed_0) ).

cnf(cls_red__reds_OFAssRed1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssRed1_0) ).

cnf(cls_red__reds_OBinOpRed2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpRed2_0) ).

cnf(cls_red__reds_OCallObj_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCallObj_0) ).

cnf(cls_red__reds_OFAccRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAccRed_0) ).

cnf(cls_red__reds_OCondRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCondRed_0) ).

cnf(cls_red__reds_OBinOpRed1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpRed1_0) ).

cnf(cls_red__reds_OLAssRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OLAssRed_0) ).

cnf(cls_red__reds_OCastRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCastRed_0) ).

cnf(cls_red__reds_OSeqRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X4,X2,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OSeqRed_0) ).

cnf(cls_red__reds_OThrowRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OThrowRed_0) ).

cnf(cls_Reds__dom__lcl_0,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X4,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Reds__dom__lcl_0) ).

cnf(cls_subject__reduction2_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1(X3,X1,X5,X4,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X6,X3,X7,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_in(c_Pair(c_Pair(X7,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X2,X9,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subject__reduction2_0) ).

cnf(cls_subject__reduction2_1,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X6,X2,X7,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_in(c_Pair(c_Pair(X7,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X9,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subject__reduction2_1) ).

cnf(cls_red__preserves__lconf_0,axiom,
    ( c_Conform_Olconf(X1,X2,X3,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Conform_Olconf(X1,X5,X6,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X5,X4,X7,X8)
    | ~ c_in(c_Pair(c_Pair(X7,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X9,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__lconf_0) ).

cnf(cls_red__preserves__hconf_0,axiom,
    ( c_Conform_Ohconf(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Conform_Ohconf(X1,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X3,X4,X5,X6)
    | ~ c_in(c_Pair(c_Pair(X5,c_Pair(X3,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,c_Pair(X2,X9,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__hconf_0) ).

cnf(cls_red__preserves__defass_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X3,c_Option_Ooption_OSome(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X5,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,c_Pair(X6,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__defass_0) ).

cnf(cls_Red__dom__lcl_0,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X4,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__dom__lcl_0) ).

cnf(cls_red__lcl__incr_0,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X4,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__lcl__incr_0) ).

cnf(cls_Red__fv_0,axiom,
    ( c_lessequals(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__fv_0) ).

cnf(cls_red__hext__incr_0,axiom,
    ( c_Objects_Ohext(X1,X2)
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X1,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X2,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__hext__incr_0) ).

cnf(cls_Red__preserves__type_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X3,X1,X5,X4,X2))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X3,X7,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__preserves__type_1) ).

cnf(cls_Subject__reductions_0,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,v_sko__TypeSafe__Mirabelle__XSubject__reductions__1(X2,X1,X5,X4,X3))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X5)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Subject__reductions_0) ).

cnf(cls_Red__preserves__type_0,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X2,X7,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__preserves__type_0) ).

cnf(cls_Subject__reductions_1,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__XSubject__reductions__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X3)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Subject__reductions_1) ).

cnf(cls_extend__eval_0,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X5)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_extend__eval_0) ).

cnf(cls_Red__preserves__sconf_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X4),X2,X5,X6)
    | ~ c_in(c_Pair(c_Pair(X5,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__preserves__sconf_0) ).

cnf(cls_small__by__big_0,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_small__by__big_0) ).

cnf(cls_big__iff__small_2,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_big__iff__small_2) ).

cnf(cls_Red__preserves__defass_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X3,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X4),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__preserves__defass_0) ).

cnf(cls_subject__reduction_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(X3,X1,X5,X4,X2))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X3,X7,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subject__reduction_0) ).

cnf(cls_Subject__reduction_0,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,v_sko__TypeSafe__Mirabelle__XSubject__reduction__1(X2,X1,X5,X4,X3))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X5)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Subject__reduction_0) ).

cnf(cls_subject__reduction_1,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X2,X7,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subject__reduction_1) ).

cnf(cls_Subject__reduction_1,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__XSubject__reduction__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X3)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Subject__reduction_1) ).

cnf(cls_extend__1__eval_0,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X5)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_extend__1__eval_0) ).

cnf(cls_red__preserves__sconf_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X4),X2,X5,X6)
    | ~ c_in(c_Pair(c_Pair(X5,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__sconf_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_progress_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Progress_Osko__Progress__Xprogress__1__1(X4,X1,X2,X3),c_Progress_Osko__Progress__Xprogress__1__2(X4,X1,X2,X3),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_WellTypeRT_OWTrt(X4,X2,X5,X1,X6)
    | ~ c_Conform_Ohconf(X4,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_progress_0) ).

cnf(cls_big__by__small_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X5,X1,X2,X3,X4)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_big__by__small_0) ).

cnf(cls_red__reds_OFAssThrow2_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssThrow2_0) ).

cnf(cls_red__reds_ORedTry_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedTry_0) ).

cnf(cls_red__reds_OFAssThrow1_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssThrow1_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Pair(c_Pair(v_e,v_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(v_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_Progress_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Progress_0) ).

cnf(cls_red__reds_OBinOpThrow2_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpThrow2_0) ).

cnf(cls_red__reds_OCallThrowObj_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCallThrowObj_0) ).

cnf(cls_red__reds_OFAccThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAccThrow_0) ).

cnf(cls_red__reds_OCondThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCondThrow_0) ).

cnf(cls_red__reds_OBinOpThrow1_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpThrow1_0) ).

cnf(cls_red__reds_OSeqThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OSeqThrow_0) ).

cnf(cls_red__reds_OLAssThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OLAssThrow_0) ).

cnf(cls_red__reds_OCastThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCastThrow_0) ).

cnf(cls_red__reds_ORedSeq_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedSeq_0) ).

cnf(cls_red__reds_OThrowThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OThrowThrow_0) ).

cnf(cls_eval__lcl__incr_0,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oeval(X3,X4,c_Pair(X5,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X6,c_Pair(X7,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__lcl__incr_0) ).

cnf(cls_eval__hext_0,axiom,
    ( c_Objects_Ohext(X1,X2)
    | ~ c_BigStep_Oeval(X3,X4,c_Pair(X1,X5,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X6,c_Pair(X2,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__hext_0) ).

cnf(cls_eval__evals_OFAssThrow2_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X5,X9,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X6,c_Expr_Oexp_OVal(X10,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAssThrow2_0) ).

cnf(cls_in__lex__prod_1,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X5,X6,X7,X7),X8,tc_prod(X7,X7))
    | ~ c_in(c_Pair(c_Pair(X5,X1,X7,X3),c_Pair(X6,X2,X7,X3),tc_prod(X7,X3),tc_prod(X7,X3)),c_Wellfounded_Olex__prod(X8,X4,X7,X3),tc_prod(tc_prod(X7,X3),tc_prod(X7,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_1) ).

cnf(cls_eval__preserves__type_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1(X3,X1,X5,X4,X2))
    | ~ c_WellType_OWT(X1,X3,X6,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X7)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X2)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__preserves__type_1) ).

cnf(cls_in__lex__prod_0,axiom,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_Pair(X1,X5,X3,X6),c_Pair(X2,X7,X3,X6),tc_prod(X3,X6),tc_prod(X3,X6)),c_Wellfounded_Olex__prod(X4,X8,X3,X6),tc_prod(tc_prod(X3,X6),tc_prod(X3,X6))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_0) ).

cnf(cls_eval__evals_OBinOpThrow2_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X4,X8,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OBinOpThrow2_0) ).

cnf(cls_Try_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OTryCatch(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6,c_Expr_Oexp_OVal(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X6,c_Expr_Oexp_OVal(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Try_0) ).

cnf(cls_eval__evals_OFAssThrow1_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X6,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAssThrow1_0) ).

cnf(cls_eval__preserves__type_0,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X6,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X7)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X5)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__preserves__type_0) ).

cnf(cls_Seq_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,X3,X7,X5,X6)
    | ~ c_BigStep_Oeval(X1,X2,X4,c_Expr_Oexp_OVal(X8,tc_List_Olist(tc_String_Ochar)),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Seq_0) ).

cnf(cls_WTrtSeq_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).

cnf(cls_WT__elim__cases_I5_J_0,axiom,
    ( c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_0) ).

cnf(cls_same__fstI_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X1,X5,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Recdef_Osame__fst(X6,X7,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | ~ c_in(c_Pair(X2,X5,X4,X4),hAPP(X7,X1),tc_prod(X4,X4))
    | ~ hBOOL(hAPP(X6,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__fstI_0) ).

cnf(cls_in__lex__prod_3,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X1,X5,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X6,X7,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | ~ c_in(c_Pair(X2,X5,X4,X4),X7,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_3) ).

cnf(cls_in__lex__prod_2,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_2) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I15_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X4,X5,X6,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I15_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I8_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X4,X5,X6,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I8_J_0) ).

cnf(cls_exp_Osimps_I15_J_0,axiom,
    ( X1 = X6
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_0) ).

cnf(cls_exp_Osimps_I8_J_0,axiom,
    ( X1 = X6
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).

cnf(cls_exp_Osimps_I15_J_1,axiom,
    ( X2 = X7
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_1) ).

cnf(cls_exp_Osimps_I8_J_1,axiom,
    ( X2 = X7
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).

cnf(cls_exp_Osimps_I15_J_2,axiom,
    ( X3 = X8
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_2) ).

cnf(cls_exp_Osimps_I8_J_2,axiom,
    ( X3 = X8
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).

cnf(cls_exp_Osimps_I15_J_3,axiom,
    ( X4 = X9
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_3) ).

cnf(cls_exp_Osimps_I8_J_3,axiom,
    ( X4 = X9
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).

cnf(cls_exp_Osimps_I183_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I183_J_0) ).

cnf(cls_exp_Osimps_I182_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I182_J_0) ).

cnf(cls_CallObjThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCall(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallObjThrow_0) ).

cnf(cls_eval__evals_OFAccThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAcc(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAccThrow_0) ).

cnf(cls_eval__evals_OCondThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OCondThrow_0) ).

cnf(cls_eval__evals_OBinOpThrow1_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OBinOpThrow1_0) ).

cnf(cls_converse__rtrancl__induct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X3,X4,X5),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X3,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__induct_0) ).

cnf(cls_rtrancl__induct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X3,X4,X5),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X3,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__induct_1) ).

cnf(cls_eval__evals_OLAssThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OLAss(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X3,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OLAssThrow_0) ).

cnf(cls_eval__evals_OCastThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X3,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OCastThrow_0) ).

cnf(cls_WhileCondThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X2,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileCondThrow_0) ).

cnf(cls_eval__evals_OSeqThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X2,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OSeqThrow_0) ).

cnf(cls_eval__evals_OThrowThrow_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OThrowThrow_0) ).

cnf(cls_wf__config__def_2,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X3),X2,X4,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_2) ).

cnf(cls_single__valued__confluent_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Relation_Osingle__valued(X4,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__valued__confluent_0) ).

cnf(cls_lconf__hext_0,axiom,
    ( c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X6,X2)
    | ~ c_Conform_Olconf(X1,X6,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lconf__hext_0) ).

cnf(cls_WTrt__hext__mono_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X6,X2)
    | ~ c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).

cnf(cls_wf__config__def_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,X5)
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X2,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_1) ).

cnf(cls_eval__preserves__sconf_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_BigStep_Oeval(X1,X5,X4,X7,X3)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__preserves__sconf_0) ).

cnf(cls_converse__rtrancl__induct_3,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__induct_3) ).

cnf(cls_rtrancl__induct_3,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__induct_3) ).

cnf(cls_converse__rtrancl__induct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X3,X4,X5),X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__induct_1) ).

cnf(cls_rtrancl__induct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(X3,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X3,X4,X5),X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__induct_0) ).

cnf(cls_converse__rtranclE_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | X2 = X3
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtranclE_1) ).

cnf(cls_rtranclE_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtranclE_0) ).

cnf(cls_tranclD_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_1) ).

cnf(cls_tranclD2_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_0) ).

cnf(cls_fv__fvs_Osimps_I8_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X4),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I8_J_0) ).

cnf(cls_rtranclE_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X3,X4),X2,X4,X4),X3,tc_prod(X4,X4))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtranclE_1) ).

cnf(cls_converse__rtranclE_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | X1 = X3
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtranclE_0) ).

cnf(cls_tranclD2_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_1) ).

cnf(cls_tranclD_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_0) ).

cnf(cls_trancl__trans_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__trans_0) ).

cnf(cls_rtrancl__trancl__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trancl__trancl_0) ).

cnf(cls_trancl__rtrancl__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__rtrancl__trancl_0) ).

cnf(cls_rtrancl__trans_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trans_0) ).

cnf(cls_trancl__into__trancl2_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__into__trancl2_0) ).

cnf(cls_rtrancl__into__trancl2_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__into__trancl2_0) ).

cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__trancl_0) ).

cnf(cls_rtrancl__into__trancl1_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__into__trancl1_0) ).

cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__into__rtrancl_0) ).

cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__into__rtrancl_0) ).

cnf(cls_r__r__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__r__into__trancl_0) ).

cnf(cls_exp_Osimps_I195_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I195_J_0) ).

cnf(cls_exp_Osimps_I169_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I169_J_0) ).

cnf(cls_exp_Osimps_I219_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I219_J_0) ).

cnf(cls_exp_Osimps_I115_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I115_J_0) ).

cnf(cls_exp_Osimps_I170_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I170_J_0) ).

cnf(cls_exp_Osimps_I155_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).

cnf(cls_exp_Osimps_I176_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I176_J_0) ).

cnf(cls_exp_Osimps_I101_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I101_J_0) ).

cnf(cls_exp_Osimps_I194_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I194_J_0) ).

cnf(cls_exp_Osimps_I171_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I171_J_0) ).

cnf(cls_exp_Osimps_I168_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I168_J_0) ).

cnf(cls_exp_Osimps_I154_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).

cnf(cls_exp_Osimps_I218_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I218_J_0) ).

cnf(cls_exp_Osimps_I177_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I177_J_0) ).

cnf(cls_exp_Osimps_I114_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I114_J_0) ).

cnf(cls_exp_Osimps_I100_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I100_J_0) ).

cnf(cls_big__iff__small_1,axiom,
    ( c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X2,X3,X4,X1,X5)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_big__iff__small_1) ).

cnf(cls_converse__rtrancl__induct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__induct_2) ).

cnf(cls_rtrancl__induct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__induct_2) ).

cnf(cls_trancl__converseD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseD_0) ).

cnf(cls_exp_Osimps_I153_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I153_J_0) ).

cnf(cls_exp_Osimps_I69_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I69_J_0) ).

cnf(cls_exp_Osimps_I223_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I223_J_0) ).

cnf(cls_exp_Osimps_I213_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I213_J_0) ).

cnf(cls_exp_Osimps_I139_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I139_J_0) ).

cnf(cls_exp_Osimps_I55_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).

cnf(cls_exp_Osimps_I178_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I178_J_0) ).

cnf(cls_exp_Osimps_I174_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).

cnf(cls_exp_Osimps_I152_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I152_J_0) ).

cnf(cls_exp_Osimps_I138_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I138_J_0) ).

cnf(cls_exp_Osimps_I68_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I68_J_0) ).

cnf(cls_exp_Osimps_I54_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).

cnf(cls_exp_Osimps_I222_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I222_J_0) ).

cnf(cls_exp_Osimps_I179_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I179_J_0) ).

cnf(cls_exp_Osimps_I212_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I212_J_0) ).

cnf(cls_exp_Osimps_I175_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).

cnf(cls_trancl__converseI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseI_0) ).

cnf(cls_eval__cases_I1_J_0,axiom,
    ( X1 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X3,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X4,X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__cases_I1_J_0) ).

cnf(cls_wf__config__def_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__config__def_0) ).

cnf(cls_eval__cases_I1_J_1,axiom,
    ( X1 = X2
    | ~ c_BigStep_Oeval(X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X2,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__cases_I1_J_1) ).

cnf(cls_exp_Osimps_I93_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I93_J_0) ).

cnf(cls_exp_Osimps_I225_J_0,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I225_J_0) ).

cnf(cls_exp_Osimps_I79_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I79_J_0) ).

cnf(cls_exp_Osimps_I180_J_0,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I180_J_0) ).

cnf(cls_exp_Osimps_I92_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I92_J_0) ).

cnf(cls_exp_Osimps_I78_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I78_J_0) ).

cnf(cls_exp_Osimps_I224_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I224_J_0) ).

cnf(cls_exp_Osimps_I181_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I181_J_0) ).

cnf(cls_eval__final_0,axiom,
    ( c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X2,X3,X4,X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__final_0) ).

cnf(cls_single__valuedD_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X3,X2,X4,X5),X6,tc_prod(X4,X5))
    | ~ c_in(c_Pair(X3,X1,X4,X5),X6,tc_prod(X4,X5))
    | ~ c_Relation_Osingle__valued(X6,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__valuedD_0) ).

cnf(cls_rtrancl__converseD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseD_0) ).

cnf(cls_DomainE_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainE_0) ).

cnf(cls_Domain__iff_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_0) ).

cnf(cls_SigmaD2_0,axiom,
    ( c_in(X1,hAPP(X2,X3),X4)
    | ~ c_in(c_Pair(X3,X1,X5,X4),c_Product__Type_OSigma(X6,X2,X5,X4),tc_prod(X5,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD2_0) ).

cnf(cls_rtrancl__converseI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseI_0) ).

cnf(cls_SigmaD1_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X6,X3,X5),tc_prod(X3,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD1_0) ).

cnf(cls_rtrancl_Ocases_0,axiom,
    ( c_in(c_Pair(X1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a))
    | X2 = X1
    | ~ c_in(c_Pair(X1,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ocases_0) ).

cnf(cls_rtrancl_Ocases_1,axiom,
    ( c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),X2,t_a,t_a),X3,tc_prod(t_a,t_a))
    | X2 = X1
    | ~ c_in(c_Pair(X1,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ocases_1) ).

cnf(cls_converseD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseD_0) ).

cnf(cls_WT__implies__WTrt_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellType_OWT(X1,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).

cnf(cls_converseI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseI_0) ).

cnf(cls_converse__iff_1,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__iff_1) ).

cnf(cls_rtrancl__eq__or__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_0) ).

cnf(cls_rtranclD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtranclD_0) ).

cnf(cls_rtrancl__eq__or__trancl_2,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_2) ).

cnf(cls_trancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__into__rtrancl_0) ).

cnf(cls_trancl_Or__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl_Or__into__trancl_0) ).

cnf(cls_map__add__assoc_0,axiom,
    c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5) = c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__assoc_0) ).

cnf(cls_acc__induct__rule_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct__rule_1) ).

cnf(cls_acc__induct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct_1) ).

cnf(cls_total__on__def_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | X2 = X1
    | ~ c_in(X1,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Relation_Ototal__on(X5,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__def_0) ).

cnf(cls_SigmaI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaI_0) ).

cnf(cls_mem__Sigma__iff_2,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__Sigma__iff_2) ).

cnf(cls_Val_0,axiom,
    c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Val_0) ).

cnf(cls_eval__finalId_0,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X2,X3)
    | ~ c_BigStep_Ofinal(X2,tc_List_Olist(tc_String_Ochar)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__finalId_0) ).

cnf(cls_conjecture_7,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_6,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s,v_e,v_T),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_acc_Oinducts_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinducts_0) ).

cnf(cls_acc_Oinduct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinduct_0) ).

cnf(cls_acc__downwards_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__downwards_0) ).

cnf(cls_acc__downwards__aux_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__downwards__aux_0) ).

cnf(cls_acc_Oinducts_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinducts_1) ).

cnf(cls_acc_Oinduct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinduct_1) ).

cnf(cls_WTSeq_0,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_WellType_OWT(X1,X2,X4,X5)
    | ~ c_WellType_OWT(X1,X2,X3,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTSeq_0) ).

cnf(cls_acc_Ocases_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Ocases_0) ).

cnf(cls_acc__downward_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__downward_0) ).

cnf(cls_Not__Domain__rtrancl_0,axiom,
    ( X1 = X2
    | c_in(X1,c_Relation_ODomain(X4,X3,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_0) ).

cnf(cls_DomainI_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainI_0) ).

cnf(cls_Domain__iff_1,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_1) ).

cnf(cls_refl__onD1_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onD1_0) ).

cnf(cls_refl__onD2_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onD2_0) ).

cnf(cls_widen__trans_0,axiom,
    ( c_TypeRel_Owiden(X1,X2,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X5,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I9_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X1,X4,X5,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I9_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I7_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X4,X5,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I7_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I12_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X4,X5,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I12_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I4_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X4,X5,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I4_J_0) ).

cnf(cls_map__add__SomeD_1,axiom,
    ( hAPP(X1,X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_OSome(X6,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__SomeD_1) ).

cnf(cls_acc_OaccI_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),X1,X3,X3),X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_0) ).

cnf(cls_not__acc__down_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))
    | c_in(X2,c_Wellfounded_Oacc(X1,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_0) ).

cnf(cls_dom__map__add_0,axiom,
    c_Map_Odom(c_Map_Omap__add(X1,X2,X3,X4),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,X3,X4),c_Map_Odom(X1,X3,X4),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dom__map__add_0) ).

cnf(cls_fv__fvs_Osimps_I12_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I12_J_0) ).

cnf(cls_exp_Osimps_I9_J_0,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).

cnf(cls_exp_Osimps_I7_J_0,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).

cnf(cls_exp_Osimps_I12_J_0,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_0) ).

cnf(cls_exp_Osimps_I4_J_0,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_0) ).

cnf(cls_Pair__eq_0,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).

cnf(cls_exp_Osimps_I9_J_1,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).

cnf(cls_exp_Osimps_I7_J_1,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).

cnf(cls_exp_Osimps_I12_J_1,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_1) ).

cnf(cls_exp_Osimps_I4_J_1,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_1) ).

cnf(cls_Pair__eq_1,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).

cnf(cls_exp_Osimps_I9_J_2,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).

cnf(cls_exp_Osimps_I7_J_2,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).

cnf(cls_exp_Osimps_I12_J_2,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_2) ).

cnf(cls_exp_Osimps_I4_J_2,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_2) ).

cnf(cls_exp_Osimps_I157_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I157_J_0) ).

cnf(cls_exp_Osimps_I188_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I188_J_0) ).

cnf(cls_exp_Osimps_I103_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I103_J_0) ).

cnf(cls_exp_Osimps_I156_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I156_J_0) ).

cnf(cls_exp_Osimps_I189_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I189_J_0) ).

cnf(cls_exp_Osimps_I102_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I102_J_0) ).

cnf(cls_exp_Osimps_I162_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I162_J_0) ).

cnf(cls_exp_Osimps_I99_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I99_J_0) ).

cnf(cls_exp_Osimps_I163_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I163_J_0) ).

cnf(cls_exp_Osimps_I98_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I98_J_0) ).

cnf(cls_exp_Osimps_I109_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I109_J_0) ).

cnf(cls_exp_Osimps_I108_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I108_J_0) ).

cnf(cls_map__add__dom__app__simps_I1_J_0,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
    | ~ c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__dom__app__simps_I1_J_0) ).

cnf(cls_domD_0,axiom,
    ( hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4)
    | ~ c_in(X2,c_Map_Odom(X1,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_domD_0) ).

cnf(cls_Not__Domain__rtrancl_1,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | c_in(c_Pair(X1,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_1) ).

cnf(cls_refl__onD_0,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onD_0) ).

cnf(cls_refl__on__def_1,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_1) ).

cnf(cls_map__add__dom__app__simps_I3_J_0,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X1,X5)
    | c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__dom__app__simps_I3_J_0) ).

cnf(cls_map__add__dom__app__simps_I2_J_0,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
    | c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__dom__app__simps_I2_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I7_J_1,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X5,X4)
    | ~ c_DefAss_O_092_060D_062(X1,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I7_J_1) ).

cnf(cls_Un__mono_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).

cnf(cls_rtrancl__eq__or__trancl_1,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_1) ).

cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__refl_0) ).

cnf(cls_fv__fvs_Osimps_I4_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I4_J_0) ).

cnf(cls_sup1E_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).

cnf(cls_map__add__Some__iff_2,axiom,
    ( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__Some__iff_2) ).

cnf(cls_map__add__find__right_0,axiom,
    ( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__find__right_0) ).

cnf(cls_acc__induct__rule_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct__rule_2) ).

cnf(cls_acc__induct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct_2) ).

cnf(cls_fv__fvs_Osimps_I7_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar))) = c_Expr_Ofv(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I7_J_0) ).

cnf(cls_Un__least_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).

cnf(cls_Un__subset__iff_2,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).

cnf(cls_exp_Osimps_I141_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I141_J_0) ).

cnf(cls_exp_Osimps_I57_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I57_J_0) ).

cnf(cls_exp_Osimps_I190_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I190_J_0) ).

cnf(cls_exp_Osimps_I186_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I186_J_0) ).

cnf(cls_exp_Osimps_I137_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I137_J_0) ).

cnf(cls_exp_Osimps_I53_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).

cnf(cls_exp_Osimps_I164_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I164_J_0) ).

cnf(cls_exp_Osimps_I160_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).

cnf(cls_exp_Osimps_I147_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I147_J_0) ).

cnf(cls_exp_Osimps_I63_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I63_J_0) ).

cnf(cls_exp_Osimps_I214_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I214_J_0) ).

cnf(cls_exp_Osimps_I207_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I207_J_0) ).

cnf(cls_exp_Osimps_I96_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I96_J_0) ).

cnf(cls_exp_Osimps_I47_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I47_J_0) ).

cnf(cls_exp_Osimps_I110_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I110_J_0) ).

cnf(cls_exp_Osimps_I106_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I106_J_0) ).

cnf(cls_exp_Osimps_I140_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I140_J_0) ).

cnf(cls_exp_Osimps_I136_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I136_J_0) ).

cnf(cls_exp_Osimps_I146_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I146_J_0) ).

cnf(cls_exp_Osimps_I97_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I97_J_0) ).

cnf(cls_exp_Osimps_I56_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I56_J_0) ).

cnf(cls_exp_Osimps_I52_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).

cnf(cls_exp_Osimps_I62_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I62_J_0) ).

cnf(cls_exp_Osimps_I46_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I46_J_0) ).

cnf(cls_exp_Osimps_I191_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I191_J_0) ).

cnf(cls_exp_Osimps_I165_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I165_J_0) ).

cnf(cls_exp_Osimps_I215_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I215_J_0) ).

cnf(cls_exp_Osimps_I111_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I111_J_0) ).

cnf(cls_exp_Osimps_I187_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I187_J_0) ).

cnf(cls_exp_Osimps_I161_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).

cnf(cls_exp_Osimps_I206_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I206_J_0) ).

cnf(cls_exp_Osimps_I107_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I107_J_0) ).

cnf(cls_Un__assoc_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).

cnf(cls_Un__left__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

cnf(cls_wf__mdecl__wwf__mdecl_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_WWellForm_Owwf__J__mdecl,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_JWellForm_Owf__J__mdecl,X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__mdecl__wwf__mdecl_0) ).

cnf(cls_Un__subset__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).

cnf(cls_Un__subset__iff_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).

cnf(cls_UnE_0,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).

cnf(cls_exp_Osimps_I81_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I81_J_0) ).

cnf(cls_exp_Osimps_I192_J_0,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I192_J_0) ).

cnf(cls_exp_Osimps_I77_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I77_J_0) ).

cnf(cls_exp_Osimps_I166_J_0,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I166_J_0) ).

cnf(cls_exp_Osimps_I87_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I87_J_0) ).

cnf(cls_exp_Osimps_I216_J_0,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I216_J_0) ).

cnf(cls_exp_Osimps_I71_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I71_J_0) ).

cnf(cls_exp_Osimps_I112_J_0,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I112_J_0) ).

cnf(cls_exp_Osimps_I80_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I80_J_0) ).

cnf(cls_exp_Osimps_I76_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I76_J_0) ).

cnf(cls_exp_Osimps_I86_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I86_J_0) ).

cnf(cls_exp_Osimps_I70_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I70_J_0) ).

cnf(cls_exp_Osimps_I193_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I193_J_0) ).

cnf(cls_exp_Osimps_I167_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I167_J_0) ).

cnf(cls_exp_Osimps_I217_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I217_J_0) ).

cnf(cls_exp_Osimps_I113_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I113_J_0) ).

cnf(cls_sup1CI_1,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).

cnf(cls_sup1CI_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).

cnf(cls_acc_OaccI_1,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_1) ).

cnf(cls_not__acc__down_1,axiom,
    ( c_in(X2,c_Wellfounded_Oacc(X1,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),c_Wellfounded_Oacc(X1,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_1) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_acc__induct__rule_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct__rule_0) ).

cnf(cls_acc__induct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct_0) ).

cnf(cls_le__sup__iff_2,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).

cnf(cls_sup__least_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__least_0) ).

cnf(cls_le__supI_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).

cnf(cls_inf__sup__aci_I6_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).

cnf(cls_sup__assoc_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).

cnf(cls_inf__sup__aci_I7_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).

cnf(cls_sup__left__commute_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).

cnf(cls_wf__prog__wwf__prog_0,axiom,
    ( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__prog__wwf__prog_0) ).

cnf(cls_subset__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).

cnf(cls_conjecture_8,negated_conjecture,
    c_TypeRel_Owiden(v_P,v_T_H,v_T,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_le__sup__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).

cnf(cls_le__supE_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).

cnf(cls_le__sup__iff_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).

cnf(cls_le__supE_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I6_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X4,X1,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I6_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I2_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X4,X1,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I2_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I13_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X4,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I13_J_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I11_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X4,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I11_J_0) ).

cnf(cls_total__on__converse_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__converse_0) ).

cnf(cls_refl__on__converse_0,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_0) ).

cnf(cls_Un__left__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).

cnf(cls_UnCI_1,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).

cnf(cls_UnCI_0,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).

cnf(cls_acc_Oinducts_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinducts_2) ).

cnf(cls_acc_Oinduct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinduct_2) ).

cnf(cls_set__mp_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).

cnf(cls_subsetD_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).

cnf(cls_set__rev__mp_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).

cnf(cls_subset__iff_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_le__supI1_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).

cnf(cls_le__supI2_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I6_J_1,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X1,X2,X3),X4,X3)
    | ~ c_DefAss_O_092_060D_062(X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I6_J_1) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I2_J_1,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X1,X2,X3),X4,X3)
    | ~ c_DefAss_O_092_060D_062(X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I2_J_1) ).

cnf(cls_total__on__converse_1,axiom,
    ( c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__converse_1) ).

cnf(cls_refl__on__converse_1,axiom,
    ( c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_1) ).

cnf(cls_widen__refl_0,axiom,
    c_TypeRel_Owiden(X1,X2,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).

cnf(cls_equalityI_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).

cnf(cls_set__eq__subset_2,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_WellType_OWT(v_P,v_E,v_e,v_T),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_le__funD_0,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).

cnf(cls_xt1_I6_J_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).

cnf(cls_order__trans_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).

cnf(cls_r__into__trancl_H_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Otrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__trancl_H_0) ).

cnf(cls_r__into__rtrancl_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).

cnf(cls_Un__upper1_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

cnf(cls_Un__upper2_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).

cnf(cls_inf__sup__aci_I8_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).

cnf(cls_sup__left__idem_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).

cnf(cls_fv__fvs_Osimps_I13_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OWhile(X1,X2,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I13_J_0) ).

cnf(cls_fv__fvs_Osimps_I11_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I11_J_0) ).

cnf(cls_domI_0,axiom,
    ( c_in(X2,c_Map_Odom(X1,X5,X4),X5)
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_domI_0) ).

cnf(cls_trancl__converse_0,axiom,
    c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converse_0) ).

cnf(cls_rtrancl__converse_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converse_0) ).

cnf(cls_subset__Un__eq_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).

cnf(cls_Un__absorb2_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).

cnf(cls_Un__absorb1_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).

cnf(cls_predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).

cnf(cls_rev__predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).

cnf(cls_order__eq__iff_2,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).

cnf(cls_order__antisym_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).

cnf(cls_order__antisym__conv_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I14_J_0,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I14_J_0) ).

cnf(cls_exp_Osimps_I6_J_0,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_0) ).

cnf(cls_exp_Osimps_I2_J_0,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).

cnf(cls_exp_Osimps_I13_J_0,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_0) ).

cnf(cls_exp_Osimps_I11_J_0,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).

cnf(cls_exp_Osimps_I6_J_1,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_1) ).

cnf(cls_exp_Osimps_I2_J_1,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).

cnf(cls_exp_Osimps_I13_J_1,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_1) ).

cnf(cls_exp_Osimps_I11_J_1,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).

cnf(cls_exp_Osimps_I51_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I51_J_0) ).

cnf(cls_exp_Osimps_I148_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I148_J_0) ).

cnf(cls_exp_Osimps_I144_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I144_J_0) ).

cnf(cls_exp_Osimps_I50_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I50_J_0) ).

cnf(cls_exp_Osimps_I149_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I149_J_0) ).

cnf(cls_exp_Osimps_I145_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I145_J_0) ).

cnf(cls_exp_Osimps_I64_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I64_J_0) ).

cnf(cls_exp_Osimps_I60_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).

cnf(cls_exp_Osimps_I65_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I65_J_0) ).

cnf(cls_exp_Osimps_I61_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).

cnf(cls_exp_Osimps_I209_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I209_J_0) ).

cnf(cls_exp_Osimps_I208_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I208_J_0) ).

cnf(cls_inf__sup__ord_I3_J_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).

cnf(cls_sup__ge1_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).

cnf(cls_inf__sup__ord_I4_J_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).

cnf(cls_sup__ge2_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I14_J_1,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X2),X3,X2)
    | ~ c_DefAss_O_092_060D_062(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I14_J_1) ).

cnf(cls_converse__converse_0,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__converse_0) ).

cnf(cls_Un__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

cnf(cls_le__iff__sup_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).

cnf(cls_sup__absorb1_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).

cnf(cls_le__iff__sup_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).

cnf(cls_trancl__domain_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__domain_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_fv__fvs_Osimps_I2_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar))) = c_Expr_Ofv(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I2_J_0) ).

cnf(cls_linorder__linear_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_inf__sup__aci_I5_J_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).

cnf(cls_sup__commute_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).

cnf(cls_exp_Osimps_I75_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I75_J_0) ).

cnf(cls_exp_Osimps_I150_J_0,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I150_J_0) ).

cnf(cls_exp_Osimps_I44_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I44_J_0) ).

cnf(cls_exp_Osimps_I66_J_0,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I66_J_0) ).

cnf(cls_exp_Osimps_I89_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I89_J_0) ).

cnf(cls_exp_Osimps_I220_J_0,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I220_J_0) ).

cnf(cls_exp_Osimps_I85_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I85_J_0) ).

cnf(cls_exp_Osimps_I210_J_0,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I210_J_0) ).

cnf(cls_exp_Osimps_I74_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I74_J_0) ).

cnf(cls_exp_Osimps_I45_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I45_J_0) ).

cnf(cls_exp_Osimps_I88_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I88_J_0) ).

cnf(cls_exp_Osimps_I84_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I84_J_0) ).

cnf(cls_exp_Osimps_I151_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I151_J_0) ).

cnf(cls_exp_Osimps_I67_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I67_J_0) ).

cnf(cls_exp_Osimps_I221_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I221_J_0) ).

cnf(cls_exp_Osimps_I211_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I211_J_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

cnf(cls__092_060D_062___092_060D_062s_Osimps_I3_J_0,axiom,
    c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X1,X2),X3,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I3_J_0) ).

cnf(cls_Un__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).

cnf(cls_sup__idem_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).

cnf(cls_order__eq__iff_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

cnf(cls_order__eq__refl_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

cnf(cls_hext__trans_0,axiom,
    ( c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X3,X2)
    | ~ c_Objects_Ohext(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__trans_0) ).

cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    c_fequal(X1,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

cnf(cls_rtrancl__trancl__absorb_0,axiom,
    c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trancl__absorb_0) ).

cnf(cls_trancl__rtrancl__absorb_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__rtrancl__absorb_0) ).

cnf(cls_rtrancl__idemp_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_option_Oinject_0,axiom,
    ( X1 = X3
    | c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_OSome(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Oinject_0) ).

cnf(cls_exp_Osimps_I3_J_0,axiom,
    ( X1 = X3
    | c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OVal(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).

cnf(cls_exp_Osimps_I14_J_0,axiom,
    ( X1 = X3
    | c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_Othrow(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I14_J_0) ).

cnf(cls_exp_Osimps_I90_J_0,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I90_J_0) ).

cnf(cls_exp_Osimps_I91_J_0,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I91_J_0) ).

cnf(cls_fv__fvs_Osimps_I14_J_0,axiom,
    c_Expr_Ofv(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar))) = c_Expr_Ofv(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fv__fvs_Osimps_I14_J_0) ).

cnf(cls_final__def_1,axiom,
    c_BigStep_Ofinal(c_Expr_Oexp_OVal(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_final__def_1) ).

cnf(clsarity_fun__HOL_Oord,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

cnf(clsarity_fun__Orderings_Oorder,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

cnf(clsarity_fun__Orderings_Opreorder,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

cnf(clsarity_fun__Lattices_Olattice,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

cnf(cls_conjecture_10,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

cnf(cls_hext__refl_0,axiom,
    c_Objects_Ohext(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

cnf(i_0_523,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    cls_RangeE_0 ).

cnf(i_0_524,axiom,
    c_Relation_ORange(X1,X2,X3) = c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2),
    cls_Range__def_0 ).

cnf(i_0_525,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    cls_Range__iff_0 ).

cnf(i_0_526,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_RangeI_0 ).

cnf(i_0_527,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_Range__iff_1 ).

cnf(i_0_528,axiom,
    c_Relation_ORange(c_Relation_Oconverse(X1,X2,X3),X3,X2) = c_Relation_ODomain(X1,X2,X3),
    cls_Range__converse_0 ).

cnf(i_0_529,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    cls_trancl__range_0 ).

cnf(i_0_530,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X4,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X10,tc_List_Olist(tc_String_Ochar)),X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_FAssRedsThrow2_0,
    [final] ).

cnf(i_0_531,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X3,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_BinOpRedsThrow2_0,
    [final] ).

cnf(i_0_532,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X8,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_SeqReds2_0,
    [final] ).

cnf(i_0_533,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X3,X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,c_Map_Omap__add(X3,X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_Red__lcl__add_0,
    [final] ).

cnf(i_0_534,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X3,X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,c_Map_Omap__add(X3,X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__lcl__add_0,
    [final] ).

cnf(i_0_535,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_FAssReds2_0,
    [final] ).

cnf(i_0_536,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_TryReds_0,
    [final] ).

cnf(i_0_537,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_FAssReds1_0,
    [final] ).

cnf(i_0_538,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_TryRedsVal_0,
    [final] ).

cnf(i_0_539,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X8),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_FAssRedsThrow1_0,
    [final] ).

cnf(i_0_540,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_BinOp2Reds_0,
    [final] ).

cnf(i_0_541,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_CallRedsObj_0,
    [final] ).

cnf(i_0_542,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_FAccReds_0,
    [final] ).

cnf(i_0_543,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_CondReds_0,
    [final] ).

cnf(i_0_544,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_BinOp1Reds_0,
    [final] ).

cnf(i_0_545,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_CallRedsThrowObj_0,
    [final] ).

cnf(i_0_546,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_FAccRedsThrow_0,
    [final] ).

cnf(i_0_547,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_CondRedsThrow_0,
    [final] ).

cnf(i_0_548,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_BinOpRedsThrow1_0,
    [final] ).

cnf(i_0_549,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_LAssReds_0,
    [final] ).

cnf(i_0_550,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_CastReds_0,
    [final] ).

cnf(i_0_551,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X4,X2,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_SeqReds_0,
    [final] ).

cnf(i_0_552,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_LAssRedsThrow_0,
    [final] ).

cnf(i_0_553,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_CastRedsThrow_0,
    [final] ).

cnf(i_0_554,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_WhileRedsThrow_0,
    [final] ).

cnf(i_0_555,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X6),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_SeqRedsThrow_0,
    [final] ).

cnf(i_0_556,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_ThrowRedsThrow_0,
    [final] ).

cnf(i_0_557,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_ThrowReds_0,
    [final] ).

cnf(i_0_558,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OFAssRed2_0,
    [final] ).

cnf(i_0_559,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OTryRed_0,
    [final] ).

cnf(i_0_560,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X6,X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X8),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OFAssRed1_0,
    [final] ).

cnf(i_0_561,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X5,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OBinOpRed2_0,
    [final] ).

cnf(i_0_562,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OCallObj_0,
    [final] ).

cnf(i_0_563,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OFAccRed_0,
    [final] ).

cnf(i_0_564,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OCondRed_0,
    [final] ).

cnf(i_0_565,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X5,X2,X3,tc_List_Olist(tc_String_Ochar)),X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OBinOpRed1_0,
    [final] ).

cnf(i_0_566,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OLAssRed_0,
    [final] ).

cnf(i_0_567,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X1,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OCastRed_0,
    [final] ).

cnf(i_0_568,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X4,X2,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OSeqRed_0,
    [final] ).

cnf(i_0_569,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__reds_OThrowRed_0,
    [final] ).

cnf(i_0_570,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X4,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Reds__dom__lcl_0,
    [final] ).

cnf(i_0_571,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1(X3,X1,X5,X4,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X6,X3,X7,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_in(c_Pair(c_Pair(X7,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X2,X9,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_subject__reduction2_0,
    [final] ).

cnf(i_0_572,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X6,X2,X7,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_in(c_Pair(c_Pair(X7,c_Pair(X6,X8,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X9,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_subject__reduction2_1,
    [final] ).

cnf(i_0_573,axiom,
    ( c_Conform_Olconf(X1,X2,X3,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Conform_Olconf(X1,X5,X6,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X5,X4,X7,X8)
    | ~ c_in(c_Pair(c_Pair(X7,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X9,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__preserves__lconf_0,
    [final] ).

cnf(i_0_574,axiom,
    ( c_Conform_Ohconf(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Conform_Ohconf(X1,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X3,X4,X5,X6)
    | ~ c_in(c_Pair(c_Pair(X5,c_Pair(X3,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,c_Pair(X2,X9,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__preserves__hconf_0,
    [final] ).

cnf(i_0_575,axiom,
    ( c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X3,c_Option_Ooption_OSome(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X5,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,c_Pair(X6,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_red__preserves__defass_0,
    [final] ).

cnf(i_0_576,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X4,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_Red__dom__lcl_0,
    [final] ).

cnf(i_0_577,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X4,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X6,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__lcl__incr_0,
    [final] ).

cnf(i_0_578,axiom,
    ( c_lessequals(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Red__fv_0,
    [final] ).

cnf(i_0_579,axiom,
    ( c_Objects_Ohext(X1,X2)
    | ~ c_in(c_Pair(c_Pair(X3,c_Pair(X1,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X5,c_Pair(X2,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__hext__incr_0,
    [final] ).

cnf(i_0_580,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X3,X1,X5,X4,X2))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X3,X7,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Red__preserves__type_1,
    [final] ).

cnf(i_0_581,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,v_sko__TypeSafe__Mirabelle__XSubject__reductions__1(X2,X1,X5,X4,X3))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X5)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Subject__reductions_0,
    [final] ).

cnf(i_0_582,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X2,X7,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Red__preserves__type_0,
    [final] ).

cnf(i_0_583,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__XSubject__reductions__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X3)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Subject__reductions_1,
    [final] ).

cnf(i_0_584,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X5)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_extend__eval_0,
    [final] ).

cnf(i_0_585,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X4),X2,X5,X6)
    | ~ c_in(c_Pair(c_Pair(X5,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Red__preserves__sconf_0,
    [final] ).

cnf(i_0_586,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_small__by__big_0,
    [final] ).

cnf(i_0_587,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_big__iff__small_2,
    [final] ).

cnf(i_0_588,axiom,
    ( c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X3,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X4),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_in(c_Pair(c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Red__preserves__defass_0,
    [final] ).

cnf(i_0_589,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(X3,X1,X5,X4,X2))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X3,X7,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_subject__reduction_0,
    [final] ).

cnf(i_0_590,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,v_sko__TypeSafe__Mirabelle__XSubject__reduction__1(X2,X1,X5,X4,X3))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X5)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Subject__reduction_0,
    [final] ).

cnf(i_0_591,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X6),X2,X7,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X6)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_subject__reduction_1,
    [final] ).

cnf(i_0_592,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__XSubject__reduction__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X6,X7,X3)
    | ~ c_in(c_Pair(c_Pair(X7,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Subject__reduction_1,
    [final] ).

cnf(i_0_593,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X5)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_extend__1__eval_0,
    [final] ).

cnf(i_0_594,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X4),X2,X5,X6)
    | ~ c_in(c_Pair(c_Pair(X5,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    cls_red__preserves__sconf_0,
    [final] ).

cnf(i_0_595,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_conjecture_5,
    [final] ).

cnf(i_0_596,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Progress_Osko__Progress__Xprogress__1__1(X4,X1,X2,X3),c_Progress_Osko__Progress__Xprogress__1__2(X4,X1,X2,X3),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_WellTypeRT_OWTrt(X4,X2,X5,X1,X6)
    | ~ c_Conform_Ohconf(X4,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_progress_0,
    [final] ).

cnf(i_0_597,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X5,X1,X2,X3,X4)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_big__by__small_0,
    [final] ).

cnf(i_0_598,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OFAssThrow2_0,
    [final] ).

cnf(i_0_599,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_ORedTry_0,
    [final] ).

cnf(i_0_600,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OFAssThrow1_0,
    [final] ).

cnf(i_0_601,negated_conjecture,
    c_in(c_Pair(c_Pair(v_e,v_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(v_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_conjecture_4,
    [final] ).

cnf(i_0_602,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Progress_0,
    [final] ).

cnf(i_0_603,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OBinOpThrow2_0,
    [final] ).

cnf(i_0_604,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OCallThrowObj_0,
    [final] ).

cnf(i_0_605,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OFAccThrow_0,
    [final] ).

cnf(i_0_606,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OCondThrow_0,
    [final] ).

cnf(i_0_607,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OBinOpThrow1_0,
    [final] ).

cnf(i_0_608,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OSeqThrow_0,
    [final] ).

cnf(i_0_609,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OLAssThrow_0,
    [final] ).

cnf(i_0_610,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OCastThrow_0,
    [final] ).

cnf(i_0_611,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_List_Olist(tc_String_Ochar)),X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_ORedSeq_0,
    [final] ).

cnf(i_0_612,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_red__reds_OThrowThrow_0,
    [final] ).

cnf(i_0_613,axiom,
    ( c_lessequals(c_Map_Odom(X1,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X2,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oeval(X3,X4,c_Pair(X5,X1,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X6,c_Pair(X7,X2,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    cls_eval__lcl__incr_0,
    [final] ).

cnf(i_0_614,axiom,
    ( c_Objects_Ohext(X1,X2)
    | ~ c_BigStep_Oeval(X3,X4,c_Pair(X1,X5,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X6,c_Pair(X2,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    cls_eval__hext_0,
    [final] ).

cnf(i_0_615,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X5,X9,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X6,c_Expr_Oexp_OVal(X10,tc_List_Olist(tc_String_Ochar)),X9) ),
    cls_eval__evals_OFAssThrow2_0,
    [final] ).

cnf(i_0_616,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X5,X6,X7,X7),X8,tc_prod(X7,X7))
    | ~ c_in(c_Pair(c_Pair(X5,X1,X7,X3),c_Pair(X6,X2,X7,X3),tc_prod(X7,X3),tc_prod(X7,X3)),c_Wellfounded_Olex__prod(X8,X4,X7,X3),tc_prod(tc_prod(X7,X3),tc_prod(X7,X3))) ),
    cls_in__lex__prod_1,
    [final] ).

cnf(i_0_617,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1(X3,X1,X5,X4,X2))
    | ~ c_WellType_OWT(X1,X3,X6,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X7)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X2)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_eval__preserves__type_1,
    [final] ).

cnf(i_0_618,axiom,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_Pair(X1,X5,X3,X6),c_Pair(X2,X7,X3,X6),tc_prod(X3,X6),tc_prod(X3,X6)),c_Wellfounded_Olex__prod(X4,X8,X3,X6),tc_prod(tc_prod(X3,X6),tc_prod(X3,X6))) ),
    cls_in__lex__prod_0,
    [final] ).

cnf(i_0_619,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X4,X8,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_eval__evals_OBinOpThrow2_0,
    [final] ).

cnf(i_0_620,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OTryCatch(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6,c_Expr_Oexp_OVal(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X6,c_Expr_Oexp_OVal(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_Try_0,
    [final] ).

cnf(i_0_621,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X6,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_eval__evals_OFAssThrow1_0,
    [final] ).

cnf(i_0_622,axiom,
    ( c_TypeRel_Owiden(X1,v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1(X2,X1,X3,X4,X5),X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X6,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X7)
    | ~ c_BigStep_Oeval(X1,X6,X7,X4,X5)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_eval__preserves__type_0,
    [final] ).

cnf(i_0_623,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,X3,X7,X5,X6)
    | ~ c_BigStep_Oeval(X1,X2,X4,c_Expr_Oexp_OVal(X8,tc_List_Olist(tc_String_Ochar)),X7) ),
    cls_Seq_0,
    [final] ).

cnf(i_0_624,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X7) ),
    cls_WTrtSeq_0,
    [final] ).

cnf(i_0_625,axiom,
    ( c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X4) ),
    cls_WT__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_626,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X1,X5,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Recdef_Osame__fst(X6,X7,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | ~ c_in(c_Pair(X2,X5,X4,X4),hAPP(X7,X1),tc_prod(X4,X4))
    | ~ hBOOL(hAPP(X6,X1)) ),
    cls_same__fstI_0,
    [final] ).

cnf(i_0_627,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X1,X5,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X6,X7,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | ~ c_in(c_Pair(X2,X5,X4,X4),X7,tc_prod(X4,X4)) ),
    cls_in__lex__prod_3,
    [final] ).

cnf(i_0_628,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3)) ),
    cls_in__lex__prod_2,
    [final] ).

cnf(i_0_629,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X4,X5,X6,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I15_J_0,
    [final] ).

cnf(i_0_630,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X4,X5,X6,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I8_J_0,
    [final] ).

cnf(i_0_631,axiom,
    ( X1 = X6
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I15_J_0,
    [final] ).

cnf(i_0_632,axiom,
    ( X1 = X6
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I8_J_0,
    [final] ).

cnf(i_0_633,axiom,
    ( X2 = X7
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I15_J_1,
    [final] ).

cnf(i_0_634,axiom,
    ( X2 = X7
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I8_J_1,
    [final] ).

cnf(i_0_635,axiom,
    ( X3 = X8
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I15_J_2,
    [final] ).

cnf(i_0_636,axiom,
    ( X3 = X8
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I8_J_2,
    [final] ).

cnf(i_0_637,axiom,
    ( X4 = X9
    | c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I15_J_3,
    [final] ).

cnf(i_0_638,axiom,
    ( X4 = X9
    | c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5) ),
    cls_exp_Osimps_I8_J_3,
    [final] ).

cnf(i_0_639,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5),
    cls_exp_Osimps_I183_J_0,
    [final] ).

cnf(i_0_640,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5),
    cls_exp_Osimps_I182_J_0,
    [final] ).

cnf(i_0_641,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCall(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    cls_CallObjThrow_0,
    [final] ).

cnf(i_0_642,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAcc(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    cls_eval__evals_OFAccThrow_0,
    [final] ).

cnf(i_0_643,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    cls_eval__evals_OCondThrow_0,
    [final] ).

cnf(i_0_644,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X3,X4,tc_List_Olist(tc_String_Ochar)),X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_BigStep_Oeval(X1,X2,X5,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    cls_eval__evals_OBinOpThrow1_0,
    [final] ).

cnf(i_0_645,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X3,X4,X5),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X3,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_converse__rtrancl__induct_0,
    [final] ).

cnf(i_0_646,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X3,X4,X5),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X3,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_rtrancl__induct_1,
    [final] ).

cnf(i_0_647,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OLAss(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X3,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    cls_eval__evals_OLAssThrow_0,
    [final] ).

cnf(i_0_648,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X3,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    cls_eval__evals_OCastThrow_0,
    [final] ).

cnf(i_0_649,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X2,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    cls_WhileCondThrow_0,
    [final] ).

cnf(i_0_650,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_BigStep_Oeval(X1,X2,X4,c_Expr_Oexp_Othrow(X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    cls_eval__evals_OSeqThrow_0,
    [final] ).

cnf(i_0_651,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    cls_eval__evals_OThrowThrow_0,
    [final] ).

cnf(i_0_652,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,c_State_Ohp(X3),X2,X4,X5)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X3) ),
    cls_wf__config__def_2,
    [final] ).

cnf(i_0_653,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Relation_Osingle__valued(X4,X3,X3) ),
    cls_single__valued__confluent_0,
    [final] ).

cnf(i_0_654,axiom,
    ( c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X6,X2)
    | ~ c_Conform_Olconf(X1,X6,X3,X4,X5) ),
    cls_lconf__hext_0,
    [final] ).

cnf(i_0_655,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X6,X2)
    | ~ c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
    cls_WTrt__hext__mono_0,
    [final] ).

cnf(i_0_656,axiom,
    ( c_WellTypeRT_OWTrt(X1,c_State_Ohp(X2),X3,X4,X5)
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X2,X4,X5) ),
    cls_wf__config__def_1,
    [final] ).

cnf(i_0_657,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X2,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_BigStep_Oeval(X1,X5,X4,X7,X3)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_eval__preserves__sconf_0,
    [final] ).

cnf(i_0_658,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_converse__rtrancl__induct_3,
    [final] ).

cnf(i_0_659,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_rtrancl__induct_3,
    [final] ).

cnf(i_0_660,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X3,X4,X5),X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_converse__rtrancl__induct_1,
    [final] ).

cnf(i_0_661,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(X3,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X3,X4,X5),X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_rtrancl__induct_0,
    [final] ).

cnf(i_0_662,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | X2 = X3
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4)) ),
    cls_converse__rtranclE_1,
    [final] ).

cnf(i_0_663,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)) ),
    cls_rtranclE_0,
    [final] ).

cnf(i_0_664,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    cls_tranclD_1,
    [final] ).

cnf(i_0_665,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    cls_tranclD2_0,
    [final] ).

cnf(i_0_666,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OFAss(X1,X2,X3,X4,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X4),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    cls_fv__fvs_Osimps_I8_J_0,
    [final] ).

cnf(i_0_667,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(X1,X2,X3,X4),X2,X4,X4),X3,tc_prod(X4,X4))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)) ),
    cls_rtranclE_1,
    [final] ).

cnf(i_0_668,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | X1 = X3
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)) ),
    cls_converse__rtranclE_0,
    [final] ).

cnf(i_0_669,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    cls_tranclD2_1,
    [final] ).

cnf(i_0_670,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    cls_tranclD_0,
    [final] ).

cnf(i_0_671,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__trans_0,
    [final] ).

cnf(i_0_672,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__trancl__trancl_0,
    [final] ).

cnf(i_0_673,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__rtrancl__trancl_0,
    [final] ).

cnf(i_0_674,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__trans_0,
    [final] ).

cnf(i_0_675,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_trancl__into__trancl2_0,
    [final] ).

cnf(i_0_676,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_rtrancl__into__trancl2_0,
    [final] ).

cnf(i_0_677,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Otrancl__into__trancl_0,
    [final] ).

cnf(i_0_678,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__into__trancl1_0,
    [final] ).

cnf(i_0_679,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_converse__rtrancl__into__rtrancl_0,
    [final] ).

cnf(i_0_680,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl_Ortrancl__into__rtrancl_0,
    [final] ).

cnf(i_0_681,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_r__r__into__trancl_0,
    [final] ).

cnf(i_0_682,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
    cls_exp_Osimps_I195_J_0,
    [final] ).

cnf(i_0_683,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
    cls_exp_Osimps_I169_J_0,
    [final] ).

cnf(i_0_684,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
    cls_exp_Osimps_I219_J_0,
    [final] ).

cnf(i_0_685,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
    cls_exp_Osimps_I115_J_0,
    [final] ).

cnf(i_0_686,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
    cls_exp_Osimps_I170_J_0,
    [final] ).

cnf(i_0_687,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
    cls_exp_Osimps_I155_J_0,
    [final] ).

cnf(i_0_688,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
    cls_exp_Osimps_I176_J_0,
    [final] ).

cnf(i_0_689,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
    cls_exp_Osimps_I101_J_0,
    [final] ).

cnf(i_0_690,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I194_J_0,
    [final] ).

cnf(i_0_691,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I171_J_0,
    [final] ).

cnf(i_0_692,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I168_J_0,
    [final] ).

cnf(i_0_693,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I154_J_0,
    [final] ).

cnf(i_0_694,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I218_J_0,
    [final] ).

cnf(i_0_695,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I177_J_0,
    [final] ).

cnf(i_0_696,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I114_J_0,
    [final] ).

cnf(i_0_697,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
    cls_exp_Osimps_I100_J_0,
    [final] ).

cnf(i_0_698,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X4,X3),X3,X4),X3) ),
    inference(rw,[status(thm)],[i_0_523,c_0_524]),
    [final] ).

cnf(i_0_699,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X4,X3),X3,X4),X3) ),
    inference(rw,[status(thm)],[i_0_525,c_0_524]),
    [final] ).

cnf(i_0_700,axiom,
    ( c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X2,X3,X4,X1,X5)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_big__iff__small_1,
    [final] ).

cnf(i_0_701,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X2,X3,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_converse__rtrancl__induct_2,
    [final] ).

cnf(i_0_702,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(X1,X3,X4,X5)))
    | ~ hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
    cls_rtrancl__induct_2,
    [final] ).

cnf(i_0_703,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    cls_trancl__converseD_0,
    [final] ).

cnf(i_0_704,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
    cls_exp_Osimps_I153_J_0,
    [final] ).

cnf(i_0_705,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
    cls_exp_Osimps_I69_J_0,
    [final] ).

cnf(i_0_706,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
    cls_exp_Osimps_I223_J_0,
    [final] ).

cnf(i_0_707,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
    cls_exp_Osimps_I213_J_0,
    [final] ).

cnf(i_0_708,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
    cls_exp_Osimps_I139_J_0,
    [final] ).

cnf(i_0_709,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
    cls_exp_Osimps_I55_J_0,
    [final] ).

cnf(i_0_710,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
    cls_exp_Osimps_I178_J_0,
    [final] ).

cnf(i_0_711,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
    cls_exp_Osimps_I174_J_0,
    [final] ).

cnf(i_0_712,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I152_J_0,
    [final] ).

cnf(i_0_713,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I138_J_0,
    [final] ).

cnf(i_0_714,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I68_J_0,
    [final] ).

cnf(i_0_715,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I54_J_0,
    [final] ).

cnf(i_0_716,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I222_J_0,
    [final] ).

cnf(i_0_717,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I179_J_0,
    [final] ).

cnf(i_0_718,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I212_J_0,
    [final] ).

cnf(i_0_719,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
    cls_exp_Osimps_I175_J_0,
    [final] ).

cnf(i_0_720,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3)) ),
    cls_trancl__converseI_0,
    [final] ).

cnf(i_0_721,axiom,
    ( X1 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X3,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X4,X1,X5) ),
    cls_eval__cases_I1_J_0,
    [final] ).

cnf(i_0_722,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X1,X2,X3)
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X2,X3,X4,X5) ),
    cls_wf__config__def_0,
    [final] ).

cnf(i_0_723,axiom,
    ( X1 = X2
    | ~ c_BigStep_Oeval(X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X2,X5,X1) ),
    cls_eval__cases_I1_J_1,
    [final] ).

cnf(i_0_724,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
    cls_exp_Osimps_I93_J_0,
    [final] ).

cnf(i_0_725,axiom,
    c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
    cls_exp_Osimps_I225_J_0,
    [final] ).

cnf(i_0_726,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
    cls_exp_Osimps_I79_J_0,
    [final] ).

cnf(i_0_727,axiom,
    c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
    cls_exp_Osimps_I180_J_0,
    [final] ).

cnf(i_0_728,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
    cls_exp_Osimps_I92_J_0,
    [final] ).

cnf(i_0_729,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
    cls_exp_Osimps_I78_J_0,
    [final] ).

cnf(i_0_730,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
    cls_exp_Osimps_I224_J_0,
    [final] ).

cnf(i_0_731,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
    cls_exp_Osimps_I181_J_0,
    [final] ).

cnf(i_0_732,axiom,
    ( c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X2,X3,X4,X1,X5) ),
    cls_eval__final_0,
    [final] ).

cnf(i_0_733,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X3,X2,X4,X5),X6,tc_prod(X4,X5))
    | ~ c_in(c_Pair(X3,X1,X4,X5),X6,tc_prod(X4,X5))
    | ~ c_Relation_Osingle__valued(X6,X4,X5) ),
    cls_single__valuedD_0,
    [final] ).

cnf(i_0_734,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    cls_rtrancl__converseD_0,
    [final] ).

cnf(i_0_735,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    cls_DomainE_0,
    [final] ).

cnf(i_0_736,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    cls_Domain__iff_0,
    [final] ).

cnf(i_0_737,axiom,
    ( c_in(X1,hAPP(X2,X3),X4)
    | ~ c_in(c_Pair(X3,X1,X5,X4),c_Product__Type_OSigma(X6,X2,X5,X4),tc_prod(X5,X4)) ),
    cls_SigmaD2_0,
    [final] ).

cnf(i_0_738,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__converseI_0,
    [final] ).

cnf(i_0_739,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X6,X3,X5),tc_prod(X3,X5)) ),
    cls_SigmaD1_0,
    [final] ).

cnf(i_0_740,axiom,
    ( c_in(c_Pair(X1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a))
    | X2 = X1
    | ~ c_in(c_Pair(X1,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a)) ),
    cls_rtrancl_Ocases_0,
    [final] ).

cnf(i_0_741,axiom,
    ( c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X1,X2,X3),X2,t_a,t_a),X3,tc_prod(t_a,t_a))
    | X2 = X1
    | ~ c_in(c_Pair(X1,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(X3,t_a),tc_prod(t_a,t_a)) ),
    cls_rtrancl_Ocases_1,
    [final] ).

cnf(i_0_742,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    cls_converseD_0,
    [final] ).

cnf(i_0_743,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellType_OWT(X1,X3,X4,X5) ),
    cls_WT__implies__WTrt_0,
    [final] ).

cnf(i_0_744,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    cls_converseI_0,
    [final] ).

cnf(i_0_745,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    cls_converse__iff_1,
    [final] ).

cnf(i_0_746,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__eq__or__trancl_0,
    [final] ).

cnf(i_0_747,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtranclD_0,
    [final] ).

cnf(i_0_748,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__eq__or__trancl_2,
    [final] ).

cnf(i_0_749,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__into__rtrancl_0,
    [final] ).

cnf(i_0_750,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_trancl_Or__into__trancl_0,
    [final] ).

cnf(i_0_751,axiom,
    c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5) = c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5),
    cls_map__add__assoc_0,
    [final] ).

cnf(i_0_752,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    cls_acc__induct__rule_1,
    [final] ).

cnf(i_0_753,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    cls_acc__induct_1,
    [final] ).

cnf(i_0_754,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | X2 = X1
    | ~ c_in(X1,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Relation_Ototal__on(X5,X4,X3) ),
    cls_total__on__def_0,
    [final] ).

cnf(i_0_755,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    cls_SigmaI_0,
    [final] ).

cnf(i_0_756,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    cls_mem__Sigma__iff_2,
    [final] ).

cnf(i_0_757,plain,
    ( c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(rw,[status(thm)],[i_0_526,c_0_524]),
    [final] ).

cnf(i_0_758,plain,
    ( c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(rw,[status(thm)],[i_0_527,c_0_524]),
    [final] ).

cnf(i_0_759,axiom,
    c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3),
    cls_Val_0,
    [final] ).

cnf(i_0_760,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X2,X3)
    | ~ c_BigStep_Ofinal(X2,tc_List_Olist(tc_String_Ochar)) ),
    cls_eval__finalId_0,
    [final] ).

cnf(i_0_761,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
    cls_conjecture_7,
    [final] ).

cnf(i_0_762,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s,v_e,v_T),
    cls_conjecture_6,
    [final] ).

cnf(i_0_763,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinducts_0,
    [final] ).

cnf(i_0_764,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinduct_0,
    [final] ).

cnf(i_0_765,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc__downwards_0,
    [final] ).

cnf(i_0_766,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    cls_acc__downwards__aux_0,
    [final] ).

cnf(i_0_767,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinducts_1,
    [final] ).

cnf(i_0_768,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinduct_1,
    [final] ).

cnf(i_0_769,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_WellType_OWT(X1,X2,X4,X5)
    | ~ c_WellType_OWT(X1,X2,X3,X6) ),
    cls_WTSeq_0,
    [final] ).

cnf(i_0_770,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc_Ocases_0,
    [final] ).

cnf(i_0_771,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc__downward_0,
    [final] ).

cnf(i_0_772,axiom,
    ( X1 = X2
    | c_in(X1,c_Relation_ODomain(X4,X3,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Not__Domain__rtrancl_0,
    [final] ).

cnf(i_0_773,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_DomainI_0,
    [final] ).

cnf(i_0_774,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_Domain__iff_1,
    [final] ).

cnf(i_0_775,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    cls_refl__onD1_0,
    [final] ).

cnf(i_0_776,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    cls_refl__onD2_0,
    [final] ).

cnf(i_0_777,axiom,
    ( c_TypeRel_Owiden(X1,X2,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X5,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X2,X5,X4) ),
    cls_widen__trans_0,
    [final] ).

cnf(i_0_778,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X1,X4,X5,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I9_J_0,
    [final] ).

cnf(i_0_779,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X4,X5,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I7_J_0,
    [final] ).

cnf(i_0_780,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X4,X5,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I12_J_0,
    [final] ).

cnf(i_0_781,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X4,X5,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I4_J_0,
    [final] ).

cnf(i_0_782,axiom,
    ( hAPP(X1,X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_OSome(X6,X4) ),
    cls_map__add__SomeD_1,
    [final] ).

cnf(i_0_783,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),X1,X3,X3),X2,tc_prod(X3,X3)) ),
    cls_acc_OaccI_0,
    [final] ).

cnf(i_0_784,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))
    | c_in(X2,c_Wellfounded_Oacc(X1,X3),X3) ),
    cls_not__acc__down_0,
    [final] ).

cnf(i_0_785,axiom,
    c_Map_Odom(c_Map_Omap__add(X1,X2,X3,X4),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,X3,X4),c_Map_Odom(X1,X3,X4),tc_fun(X3,tc_bool)),
    cls_dom__map__add_0,
    [final] ).

cnf(i_0_786,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OCond(X1,X2,X3,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    cls_fv__fvs_Osimps_I12_J_0,
    [final] ).

cnf(i_0_787,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
    cls_exp_Osimps_I9_J_0,
    [final] ).

cnf(i_0_788,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4) ),
    cls_exp_Osimps_I7_J_0,
    [final] ).

cnf(i_0_789,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4) ),
    cls_exp_Osimps_I12_J_0,
    [final] ).

cnf(i_0_790,axiom,
    ( X1 = X5
    | c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4) ),
    cls_exp_Osimps_I4_J_0,
    [final] ).

cnf(i_0_791,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Pair__eq_0,
    [final] ).

cnf(i_0_792,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
    cls_exp_Osimps_I9_J_1,
    [final] ).

cnf(i_0_793,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4) ),
    cls_exp_Osimps_I7_J_1,
    [final] ).

cnf(i_0_794,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4) ),
    cls_exp_Osimps_I12_J_1,
    [final] ).

cnf(i_0_795,axiom,
    ( X2 = X6
    | c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4) ),
    cls_exp_Osimps_I4_J_1,
    [final] ).

cnf(i_0_796,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Pair__eq_1,
    [final] ).

cnf(i_0_797,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
    cls_exp_Osimps_I9_J_2,
    [final] ).

cnf(i_0_798,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4) ),
    cls_exp_Osimps_I7_J_2,
    [final] ).

cnf(i_0_799,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4) ),
    cls_exp_Osimps_I12_J_2,
    [final] ).

cnf(i_0_800,axiom,
    ( X3 = X7
    | c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4) ),
    cls_exp_Osimps_I4_J_2,
    [final] ).

cnf(i_0_801,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
    cls_exp_Osimps_I157_J_0,
    [final] ).

cnf(i_0_802,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
    cls_exp_Osimps_I188_J_0,
    [final] ).

cnf(i_0_803,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
    cls_exp_Osimps_I103_J_0,
    [final] ).

cnf(i_0_804,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
    cls_exp_Osimps_I156_J_0,
    [final] ).

cnf(i_0_805,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
    cls_exp_Osimps_I189_J_0,
    [final] ).

cnf(i_0_806,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
    cls_exp_Osimps_I102_J_0,
    [final] ).

cnf(i_0_807,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
    cls_exp_Osimps_I162_J_0,
    [final] ).

cnf(i_0_808,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
    cls_exp_Osimps_I99_J_0,
    [final] ).

cnf(i_0_809,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
    cls_exp_Osimps_I163_J_0,
    [final] ).

cnf(i_0_810,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
    cls_exp_Osimps_I98_J_0,
    [final] ).

cnf(i_0_811,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
    cls_exp_Osimps_I109_J_0,
    [final] ).

cnf(i_0_812,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
    cls_exp_Osimps_I108_J_0,
    [final] ).

cnf(i_0_813,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
    | ~ c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
    cls_map__add__dom__app__simps_I1_J_0,
    [final] ).

cnf(i_0_814,axiom,
    ( hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4)
    | ~ c_in(X2,c_Map_Odom(X1,X3,X4),X3) ),
    cls_domD_0,
    [final] ).

cnf(i_0_815,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | c_in(c_Pair(X1,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    cls_Not__Domain__rtrancl_1,
    [final] ).

cnf(i_0_816,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    cls_refl__onD_0,
    [final] ).

cnf(i_0_817,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    cls_refl__on__def_1,
    [final] ).

cnf(i_0_818,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X1,X5)
    | c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
    cls_map__add__dom__app__simps_I3_J_0,
    [final] ).

cnf(i_0_819,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
    | c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
    cls_map__add__dom__app__simps_I2_J_0,
    [final] ).

cnf(i_0_820,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X5,X4)
    | ~ c_DefAss_O_092_060D_062(X1,X5,X4) ),
    cls__092_060D_062___092_060D_062s_Osimps_I7_J_1,
    [final] ).

cnf(i_0_821,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Un__mono_0,
    [final] ).

cnf(i_0_822,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_rtrancl__eq__or__trancl_1,
    [final] ).

cnf(i_0_823,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_rtrancl_Ortrancl__refl_0,
    [final] ).

cnf(i_0_824,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OBinOp(X1,X2,X3,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X3),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    cls_fv__fvs_Osimps_I4_J_0,
    [final] ).

cnf(i_0_825,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    cls_sup1E_0,
    [final] ).

cnf(i_0_826,axiom,
    ( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    cls_map__add__Some__iff_2,
    [final] ).

cnf(i_0_827,axiom,
    ( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    cls_map__add__find__right_0,
    [final] ).

cnf(i_0_828,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct__rule_2,
    [final] ).

cnf(i_0_829,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct_2,
    [final] ).

cnf(i_0_830,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OFAcc(X1,X2,X3,tc_List_Olist(tc_String_Ochar))) = c_Expr_Ofv(X1),
    cls_fv__fvs_Osimps_I7_J_0,
    [final] ).

cnf(i_0_831,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Un__least_0,
    [final] ).

cnf(i_0_832,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_2,
    [final] ).

cnf(i_0_833,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    cls_exp_Osimps_I141_J_0,
    [final] ).

cnf(i_0_834,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    cls_exp_Osimps_I57_J_0,
    [final] ).

cnf(i_0_835,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    cls_exp_Osimps_I190_J_0,
    [final] ).

cnf(i_0_836,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    cls_exp_Osimps_I186_J_0,
    [final] ).

cnf(i_0_837,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    cls_exp_Osimps_I137_J_0,
    [final] ).

cnf(i_0_838,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    cls_exp_Osimps_I53_J_0,
    [final] ).

cnf(i_0_839,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    cls_exp_Osimps_I164_J_0,
    [final] ).

cnf(i_0_840,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    cls_exp_Osimps_I160_J_0,
    [final] ).

cnf(i_0_841,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    cls_exp_Osimps_I147_J_0,
    [final] ).

cnf(i_0_842,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    cls_exp_Osimps_I63_J_0,
    [final] ).

cnf(i_0_843,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    cls_exp_Osimps_I214_J_0,
    [final] ).

cnf(i_0_844,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    cls_exp_Osimps_I207_J_0,
    [final] ).

cnf(i_0_845,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
    cls_exp_Osimps_I96_J_0,
    [final] ).

cnf(i_0_846,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
    cls_exp_Osimps_I47_J_0,
    [final] ).

cnf(i_0_847,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
    cls_exp_Osimps_I110_J_0,
    [final] ).

cnf(i_0_848,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
    cls_exp_Osimps_I106_J_0,
    [final] ).

cnf(i_0_849,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    cls_exp_Osimps_I140_J_0,
    [final] ).

cnf(i_0_850,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    cls_exp_Osimps_I136_J_0,
    [final] ).

cnf(i_0_851,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    cls_exp_Osimps_I146_J_0,
    [final] ).

cnf(i_0_852,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    cls_exp_Osimps_I97_J_0,
    [final] ).

cnf(i_0_853,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    cls_exp_Osimps_I56_J_0,
    [final] ).

cnf(i_0_854,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    cls_exp_Osimps_I52_J_0,
    [final] ).

cnf(i_0_855,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    cls_exp_Osimps_I62_J_0,
    [final] ).

cnf(i_0_856,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    cls_exp_Osimps_I46_J_0,
    [final] ).

cnf(i_0_857,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    cls_exp_Osimps_I191_J_0,
    [final] ).

cnf(i_0_858,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    cls_exp_Osimps_I165_J_0,
    [final] ).

cnf(i_0_859,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    cls_exp_Osimps_I215_J_0,
    [final] ).

cnf(i_0_860,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    cls_exp_Osimps_I111_J_0,
    [final] ).

cnf(i_0_861,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
    cls_exp_Osimps_I187_J_0,
    [final] ).

cnf(i_0_862,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
    cls_exp_Osimps_I161_J_0,
    [final] ).

cnf(i_0_863,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
    cls_exp_Osimps_I206_J_0,
    [final] ).

cnf(i_0_864,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
    cls_exp_Osimps_I107_J_0,
    [final] ).

cnf(i_0_865,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__assoc_0,
    [final] ).

cnf(i_0_866,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Un__left__commute_0,
    [final] ).

cnf(i_0_867,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_WWellForm_Owwf__J__mdecl,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_JWellForm_Owf__J__mdecl,X1),X2),X3)) ),
    cls_wf__mdecl__wwf__mdecl_0,
    [final] ).

cnf(i_0_868,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_0,
    [final] ).

cnf(i_0_869,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    cls_Un__subset__iff_1,
    [final] ).

cnf(i_0_870,axiom,
    ( c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    cls_UnE_0,
    [final] ).

cnf(i_0_871,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2),X2,X3) = c_Relation_ODomain(X1,X2,X3),
    inference(rw,[status(thm)],[i_0_528,c_0_524]),
    [final] ).

cnf(i_0_872,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    cls_exp_Osimps_I81_J_0,
    [final] ).

cnf(i_0_873,axiom,
    c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    cls_exp_Osimps_I192_J_0,
    [final] ).

cnf(i_0_874,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    cls_exp_Osimps_I77_J_0,
    [final] ).

cnf(i_0_875,axiom,
    c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    cls_exp_Osimps_I166_J_0,
    [final] ).

cnf(i_0_876,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    cls_exp_Osimps_I87_J_0,
    [final] ).

cnf(i_0_877,axiom,
    c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    cls_exp_Osimps_I216_J_0,
    [final] ).

cnf(i_0_878,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
    cls_exp_Osimps_I71_J_0,
    [final] ).

cnf(i_0_879,axiom,
    c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
    cls_exp_Osimps_I112_J_0,
    [final] ).

cnf(i_0_880,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
    cls_exp_Osimps_I80_J_0,
    [final] ).

cnf(i_0_881,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
    cls_exp_Osimps_I76_J_0,
    [final] ).

cnf(i_0_882,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
    cls_exp_Osimps_I86_J_0,
    [final] ).

cnf(i_0_883,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
    cls_exp_Osimps_I70_J_0,
    [final] ).

cnf(i_0_884,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
    cls_exp_Osimps_I193_J_0,
    [final] ).

cnf(i_0_885,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
    cls_exp_Osimps_I167_J_0,
    [final] ).

cnf(i_0_886,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
    cls_exp_Osimps_I217_J_0,
    [final] ).

cnf(i_0_887,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
    cls_exp_Osimps_I113_J_0,
    [final] ).

cnf(i_0_888,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_sup1CI_1,
    [final] ).

cnf(i_0_889,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_sup1CI_0,
    [final] ).

cnf(i_0_890,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc_OaccI_1,
    [final] ).

cnf(i_0_891,axiom,
    ( c_in(X2,c_Wellfounded_Oacc(X1,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),c_Wellfounded_Oacc(X1,X3),X3) ),
    cls_not__acc__down_1,
    [final] ).

cnf(i_0_892,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2,X2) = c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_529,c_0_524]),c_0_524]),
    [final] ).

cnf(i_0_893,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    cls_conjecture_9,
    [final] ).

cnf(i_0_894,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    cls_conjecture_3,
    [final] ).

cnf(i_0_895,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct__rule_0,
    [final] ).

cnf(i_0_896,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct_0,
    [final] ).

cnf(i_0_897,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__sup__iff_2,
    [final] ).

cnf(i_0_898,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_sup__least_0,
    [final] ).

cnf(i_0_899,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__supI_0,
    [final] ).

cnf(i_0_900,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I6_J_0,
    [final] ).

cnf(i_0_901,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__assoc_0,
    [final] ).

cnf(i_0_902,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I7_J_0,
    [final] ).

cnf(i_0_903,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__left__commute_0,
    [final] ).

cnf(i_0_904,axiom,
    ( c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_wf__prog__wwf__prog_0,
    [final] ).

cnf(i_0_905,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_subset__trans_0,
    [final] ).

cnf(i_0_906,negated_conjecture,
    c_TypeRel_Owiden(v_P,v_T_H,v_T,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    cls_conjecture_8,
    [final] ).

cnf(i_0_907,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    cls_le__sup__iff_0,
    [final] ).

cnf(i_0_908,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
    cls_le__supE_0,
    [final] ).

cnf(i_0_909,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    cls_le__sup__iff_1,
    [final] ).

cnf(i_0_910,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
    cls_le__supE_1,
    [final] ).

cnf(i_0_911,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X4,X1,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I6_J_0,
    [final] ).

cnf(i_0_912,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X4,X1,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I2_J_0,
    [final] ).

cnf(i_0_913,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X4,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I13_J_0,
    [final] ).

cnf(i_0_914,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X4,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I11_J_0,
    [final] ).

cnf(i_0_915,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    cls_total__on__converse_0,
    [final] ).

cnf(i_0_916,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    cls_refl__on__converse_0,
    [final] ).

cnf(i_0_917,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    cls_Un__left__absorb_0,
    [final] ).

cnf(i_0_918,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X2,X4) ),
    cls_UnCI_1,
    [final] ).

cnf(i_0_919,axiom,
    ( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X3,X4) ),
    cls_UnCI_0,
    [final] ).

cnf(i_0_920,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    cls_acc_Oinducts_2,
    [final] ).

cnf(i_0_921,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    cls_acc_Oinduct_2,
    [final] ).

cnf(i_0_922,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_set__mp_0,
    [final] ).

cnf(i_0_923,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subsetD_0,
    [final] ).

cnf(i_0_924,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_set__rev__mp_0,
    [final] ).

cnf(i_0_925,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__iff_0,
    [final] ).

cnf(i_0_926,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__supI1_0,
    [final] ).

cnf(i_0_927,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__supI2_0,
    [final] ).

cnf(i_0_928,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X1,X2,X3),X4,X3)
    | ~ c_DefAss_O_092_060D_062(X2,X4,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I6_J_1,
    [final] ).

cnf(i_0_929,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X1,X2,X3),X4,X3)
    | ~ c_DefAss_O_092_060D_062(X2,X4,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I2_J_1,
    [final] ).

cnf(i_0_930,axiom,
    ( c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    cls_total__on__converse_1,
    [final] ).

cnf(i_0_931,axiom,
    ( c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    cls_refl__on__converse_1,
    [final] ).

cnf(i_0_932,axiom,
    c_TypeRel_Owiden(X1,X2,X2,X3),
    cls_widen__refl_0,
    [final] ).

cnf(i_0_933,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_equalityI_0,
    [final] ).

cnf(i_0_934,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_set__eq__subset_2,
    [final] ).

cnf(i_0_935,negated_conjecture,
    c_WellType_OWT(v_P,v_E,v_e,v_T),
    cls_conjecture_2,
    [final] ).

cnf(i_0_936,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    cls_le__funD_0,
    [final] ).

cnf(i_0_937,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_xt1_I6_J_0,
    [final] ).

cnf(i_0_938,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_order__trans_0,
    [final] ).

cnf(i_0_939,axiom,
    ( c_in(X1,c_Transitive__Closure_Otrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    cls_r__into__trancl_H_0,
    [final] ).

cnf(i_0_940,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    cls_r__into__rtrancl_0,
    [final] ).

cnf(i_0_941,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__upper1_0,
    [final] ).

cnf(i_0_942,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__upper2_0,
    [final] ).

cnf(i_0_943,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I8_J_0,
    [final] ).

cnf(i_0_944,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__left__idem_0,
    [final] ).

cnf(i_0_945,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OWhile(X1,X2,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    cls_fv__fvs_Osimps_I13_J_0,
    [final] ).

cnf(i_0_946,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OSeq(X1,X2,tc_List_Olist(tc_String_Ochar))) = c_Lattices_Oupper__semilattice__class_Osup(c_Expr_Ofv(X1),c_Expr_Ofv(X2),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    cls_fv__fvs_Osimps_I11_J_0,
    [final] ).

cnf(i_0_947,axiom,
    ( c_in(X2,c_Map_Odom(X1,X5,X4),X5)
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    cls_domI_0,
    [final] ).

cnf(i_0_948,axiom,
    c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),
    cls_trancl__converse_0,
    [final] ).

cnf(i_0_949,axiom,
    c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),
    cls_rtrancl__converse_0,
    [final] ).

cnf(i_0_950,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    cls_subset__Un__eq_1,
    [final] ).

cnf(i_0_951,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    cls_Un__absorb2_0,
    [final] ).

cnf(i_0_952,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_Un__absorb1_0,
    [final] ).

cnf(i_0_953,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_predicate1D_0,
    [final] ).

cnf(i_0_954,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_rev__predicate1D_0,
    [final] ).

cnf(i_0_955,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__eq__iff_2,
    [final] ).

cnf(i_0_956,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__antisym_0,
    [final] ).

cnf(i_0_957,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_order__antisym__conv_0,
    [final] ).

cnf(i_0_958,axiom,
    ( c_DefAss_O_092_060D_062(X1,X2,X3)
    | ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X3),X2,X3) ),
    cls__092_060D_062___092_060D_062s_Osimps_I14_J_0,
    [final] ).

cnf(i_0_959,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3) ),
    cls_exp_Osimps_I6_J_0,
    [final] ).

cnf(i_0_960,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3) ),
    cls_exp_Osimps_I2_J_0,
    [final] ).

cnf(i_0_961,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3) ),
    cls_exp_Osimps_I13_J_0,
    [final] ).

cnf(i_0_962,axiom,
    ( X1 = X4
    | c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3) ),
    cls_exp_Osimps_I11_J_0,
    [final] ).

cnf(i_0_963,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3) ),
    cls_exp_Osimps_I6_J_1,
    [final] ).

cnf(i_0_964,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3) ),
    cls_exp_Osimps_I2_J_1,
    [final] ).

cnf(i_0_965,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3) ),
    cls_exp_Osimps_I13_J_1,
    [final] ).

cnf(i_0_966,axiom,
    ( X2 = X5
    | c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3) ),
    cls_exp_Osimps_I11_J_1,
    [final] ).

cnf(i_0_967,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
    cls_exp_Osimps_I51_J_0,
    [final] ).

cnf(i_0_968,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
    cls_exp_Osimps_I148_J_0,
    [final] ).

cnf(i_0_969,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
    cls_exp_Osimps_I144_J_0,
    [final] ).

cnf(i_0_970,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
    cls_exp_Osimps_I50_J_0,
    [final] ).

cnf(i_0_971,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
    cls_exp_Osimps_I149_J_0,
    [final] ).

cnf(i_0_972,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
    cls_exp_Osimps_I145_J_0,
    [final] ).

cnf(i_0_973,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
    cls_exp_Osimps_I64_J_0,
    [final] ).

cnf(i_0_974,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
    cls_exp_Osimps_I60_J_0,
    [final] ).

cnf(i_0_975,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
    cls_exp_Osimps_I65_J_0,
    [final] ).

cnf(i_0_976,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
    cls_exp_Osimps_I61_J_0,
    [final] ).

cnf(i_0_977,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
    cls_exp_Osimps_I209_J_0,
    [final] ).

cnf(i_0_978,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
    cls_exp_Osimps_I208_J_0,
    [final] ).

cnf(i_0_979,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I3_J_0,
    [final] ).

cnf(i_0_980,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__ge1_0,
    [final] ).

cnf(i_0_981,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I4_J_0,
    [final] ).

cnf(i_0_982,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__ge2_0,
    [final] ).

cnf(i_0_983,axiom,
    ( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X2),X3,X2)
    | ~ c_DefAss_O_092_060D_062(X1,X3,X2) ),
    cls__092_060D_062___092_060D_062s_Osimps_I14_J_1,
    [final] ).

cnf(i_0_984,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
    cls_converse__converse_0,
    [final] ).

cnf(i_0_985,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    cls_Un__commute_0,
    [final] ).

cnf(i_0_986,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
    cls_le__iff__sup_1,
    [final] ).

cnf(i_0_987,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_sup__absorb1_0,
    [final] ).

cnf(i_0_988,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__sup_0,
    [final] ).

cnf(i_0_989,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    cls_trancl__domain_0,
    [final] ).

cnf(i_0_990,negated_conjecture,
    c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    cls_conjecture_0,
    [final] ).

cnf(i_0_991,axiom,
    c_Expr_Ofv(c_Expr_Oexp_OCast(X1,X2,tc_List_Olist(tc_String_Ochar))) = c_Expr_Ofv(X2),
    cls_fv__fvs_Osimps_I2_J_0,
    [final] ).

cnf(i_0_992,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_993,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    cls_mem__def_0,
    [final] ).

cnf(i_0_994,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I5_J_0,
    [final] ).

cnf(i_0_995,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__commute_0,
    [final] ).

cnf(i_0_996,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    cls_exp_Osimps_I75_J_0,
    [final] ).

cnf(i_0_997,axiom,
    c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    cls_exp_Osimps_I150_J_0,
    [final] ).

cnf(i_0_998,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    cls_exp_Osimps_I44_J_0,
    [final] ).

cnf(i_0_999,axiom,
    c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    cls_exp_Osimps_I66_J_0,
    [final] ).

cnf(i_0_1000,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    cls_exp_Osimps_I89_J_0,
    [final] ).

cnf(i_0_1001,axiom,
    c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    cls_exp_Osimps_I220_J_0,
    [final] ).

cnf(i_0_1002,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
    cls_exp_Osimps_I85_J_0,
    [final] ).

cnf(i_0_1003,axiom,
    c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
    cls_exp_Osimps_I210_J_0,
    [final] ).

cnf(i_0_1004,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
    cls_exp_Osimps_I74_J_0,
    [final] ).

cnf(i_0_1005,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
    cls_exp_Osimps_I45_J_0,
    [final] ).

cnf(i_0_1006,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
    cls_exp_Osimps_I88_J_0,
    [final] ).

cnf(i_0_1007,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
    cls_exp_Osimps_I84_J_0,
    [final] ).

cnf(i_0_1008,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
    cls_exp_Osimps_I151_J_0,
    [final] ).

cnf(i_0_1009,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
    cls_exp_Osimps_I67_J_0,
    [final] ).

cnf(i_0_1010,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
    cls_exp_Osimps_I221_J_0,
    [final] ).

cnf(i_0_1011,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
    cls_exp_Osimps_I211_J_0,
    [final] ).

cnf(i_0_1012,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1,
    [final] ).

cnf(i_0_1013,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    cls_ATP__Linkup_Ofequal__imp__equal_0,
    [final] ).

cnf(i_0_1014,axiom,
    c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X1,X2),X3,X2),
    cls__092_060D_062___092_060D_062s_Osimps_I3_J_0,
    [final] ).

cnf(i_0_1015,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    cls_Un__absorb_0,
    [final] ).

cnf(i_0_1016,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_equalityE_0,
    [final] ).

cnf(i_0_1017,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_subset__refl_0,
    [final] ).

cnf(i_0_1018,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__idem_0,
    [final] ).

cnf(i_0_1019,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_1020,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_1021,axiom,
    ( c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X3,X2)
    | ~ c_Objects_Ohext(X1,X3) ),
    cls_hext__trans_0,
    [final] ).

cnf(i_0_1022,axiom,
    c_fequal(X1,X1,X2),
    cls_ATP__Linkup_Oequal__imp__fequal_0,
    [final] ).

cnf(i_0_1023,axiom,
    c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_rtrancl__trancl__absorb_0,
    [final] ).

cnf(i_0_1024,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_trancl__rtrancl__absorb_0,
    [final] ).

cnf(i_0_1025,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_rtrancl__idemp_0,
    [final] ).

cnf(i_0_1026,negated_conjecture,
    c_TypeSafe__Mirabelle_Osconf(v_P,v_E,v_s),
    cls_conjecture_1,
    [final] ).

cnf(i_0_1027,axiom,
    ( X1 = X3
    | c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_OSome(X3,X2) ),
    cls_option_Oinject_0,
    [final] ).

cnf(i_0_1028,axiom,
    ( X1 = X3
    | c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OVal(X3,X2) ),
    cls_exp_Osimps_I3_J_0,
    [final] ).

cnf(i_0_1029,axiom,
    ( X1 = X3
    | c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_Othrow(X3,X2) ),
    cls_exp_Osimps_I14_J_0,
    [final] ).

cnf(i_0_1030,axiom,
    c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
    cls_exp_Osimps_I90_J_0,
    [final] ).

cnf(i_0_1031,axiom,
    c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
    cls_exp_Osimps_I91_J_0,
    [final] ).

cnf(i_0_1032,axiom,
    c_Expr_Ofv(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar))) = c_Expr_Ofv(X1),
    cls_fv__fvs_Osimps_I14_J_0,
    [final] ).

cnf(i_0_1033,axiom,
    c_BigStep_Ofinal(c_Expr_Oexp_OVal(X1,X2),X2),
    cls_final__def_1,
    [final] ).

cnf(i_0_1034,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    clsarity_fun__HOL_Oord,
    [final] ).

cnf(i_0_1035,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_1036,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_1037,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olattice,
    [final] ).

cnf(i_0_1038,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1039,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    cls_conjecture_10,
    [final] ).

cnf(i_0_1040,axiom,
    c_Objects_Ohext(X1,X1),
    cls_hext__refl_0,
    [final] ).

cnf(i_0_1041,axiom,
    class_HOL_Oord(tc_nat),
    clsarity_nat__HOL_Oord,
    [final] ).

cnf(i_0_1042,axiom,
    class_HOL_Oord(tc_bool),
    clsarity_bool__HOL_Oord,
    [final] ).

cnf(i_0_1043,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat__Orderings_Oorder,
    [final] ).

cnf(i_0_1044,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_1045,axiom,
    class_Orderings_Opreorder(tc_nat),
    clsarity_nat__Orderings_Opreorder,
    [final] ).

cnf(i_0_1046,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_1047,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat__Orderings_Olinorder,
    [final] ).

cnf(i_0_1048,axiom,
    class_Lattices_Olattice(tc_nat),
    clsarity_nat__Lattices_Olattice,
    [final] ).

cnf(i_0_1049,axiom,
    class_Lattices_Olattice(tc_bool),
    clsarity_bool__Lattices_Olattice,
    [final] ).

cnf(i_0_1050,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    clsarity_nat__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1051,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    clsarity_bool__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1052,axiom,
    X1 = X1 ).

cnf(i_0_1053,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1054,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1055,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_1056,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_1057,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_1058,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_1059,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OVal(X1,X3) = c_Expr_Oexp_OVal(X2,X3) ) ).

cnf(i_0_1060,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OVal(X3,X1) = c_Expr_Oexp_OVal(X3,X2) ) ).

cnf(i_0_1061,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X1,X3,X4,X5) = c_Expr_Oexp_OBinOp(X2,X3,X4,X5) ) ).

cnf(i_0_1062,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X3,X1,X4,X5) = c_Expr_Oexp_OBinOp(X3,X2,X4,X5) ) ).

cnf(i_0_1063,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X3,X4,X1,X5) = c_Expr_Oexp_OBinOp(X3,X4,X2,X5) ) ).

cnf(i_0_1064,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X3,X4,X5,X1) = c_Expr_Oexp_OBinOp(X3,X4,X5,X2) ) ).

cnf(i_0_1065,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) = c_Expr_Oexp_OSeq(X2,X3,X4) ) ).

cnf(i_0_1066,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) = c_Expr_Oexp_OSeq(X3,X2,X4) ) ).

cnf(i_0_1067,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OSeq(X3,X4,X1) = c_Expr_Oexp_OSeq(X3,X4,X2) ) ).

cnf(i_0_1068,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X1,X3,X4,X5) = c_Map_Omap__add(X2,X3,X4,X5) ) ).

cnf(i_0_1069,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X3,X1,X4,X5) = c_Map_Omap__add(X3,X2,X4,X5) ) ).

cnf(i_0_1070,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X3,X4,X1,X5) = c_Map_Omap__add(X3,X4,X2,X5) ) ).

cnf(i_0_1071,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X3,X4,X5,X1) = c_Map_Omap__add(X3,X4,X5,X2) ) ).

cnf(i_0_1072,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) = c_Expr_Oexp_OTryCatch(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1073,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) = c_Expr_Oexp_OTryCatch(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1074,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) = c_Expr_Oexp_OTryCatch(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1075,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) = c_Expr_Oexp_OTryCatch(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1076,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X1) = c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1077,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X1,X3,X4,X5) = c_Expr_Oexp_OCall(X2,X3,X4,X5) ) ).

cnf(i_0_1078,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X3,X1,X4,X5) = c_Expr_Oexp_OCall(X3,X2,X4,X5) ) ).

cnf(i_0_1079,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X3,X4,X1,X5) = c_Expr_Oexp_OCall(X3,X4,X2,X5) ) ).

cnf(i_0_1080,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X3,X4,X5,X1) = c_Expr_Oexp_OCall(X3,X4,X5,X2) ) ).

cnf(i_0_1081,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X1,X3,X4,X5) = c_Expr_Oexp_OFAcc(X2,X3,X4,X5) ) ).

cnf(i_0_1082,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X3,X1,X4,X5) = c_Expr_Oexp_OFAcc(X3,X2,X4,X5) ) ).

cnf(i_0_1083,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X3,X4,X1,X5) = c_Expr_Oexp_OFAcc(X3,X4,X2,X5) ) ).

cnf(i_0_1084,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X3,X4,X5,X1) = c_Expr_Oexp_OFAcc(X3,X4,X5,X2) ) ).

cnf(i_0_1085,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X1,X3,X4,X5) = c_Expr_Oexp_OCond(X2,X3,X4,X5) ) ).

cnf(i_0_1086,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X3,X1,X4,X5) = c_Expr_Oexp_OCond(X3,X2,X4,X5) ) ).

cnf(i_0_1087,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X3,X4,X1,X5) = c_Expr_Oexp_OCond(X3,X4,X2,X5) ) ).

cnf(i_0_1088,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X3,X4,X5,X1) = c_Expr_Oexp_OCond(X3,X4,X5,X2) ) ).

cnf(i_0_1089,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) = c_Expr_Oexp_OLAss(X2,X3,X4) ) ).

cnf(i_0_1090,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) = c_Expr_Oexp_OLAss(X3,X2,X4) ) ).

cnf(i_0_1091,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OLAss(X3,X4,X1) = c_Expr_Oexp_OLAss(X3,X4,X2) ) ).

cnf(i_0_1092,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) = c_Expr_Oexp_OFAss(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1093,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) = c_Expr_Oexp_OFAss(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1094,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) = c_Expr_Oexp_OFAss(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1095,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) = c_Expr_Oexp_OFAss(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1096,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X6,X1) = c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1097,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCast(X1,X3,X4) = c_Expr_Oexp_OCast(X2,X3,X4) ) ).

cnf(i_0_1098,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCast(X3,X1,X4) = c_Expr_Oexp_OCast(X3,X2,X4) ) ).

cnf(i_0_1099,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCast(X3,X4,X1) = c_Expr_Oexp_OCast(X3,X4,X2) ) ).

cnf(i_0_1100,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OWhile(X1,X3,X4) = c_Expr_Oexp_OWhile(X2,X3,X4) ) ).

cnf(i_0_1101,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OWhile(X3,X1,X4) = c_Expr_Oexp_OWhile(X3,X2,X4) ) ).

cnf(i_0_1102,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OWhile(X3,X4,X1) = c_Expr_Oexp_OWhile(X3,X4,X2) ) ).

cnf(i_0_1103,axiom,
    ( X1 != X2
    | c_Map_Odom(X1,X3,X4) = c_Map_Odom(X2,X3,X4) ) ).

cnf(i_0_1104,axiom,
    ( X1 != X2
    | c_Map_Odom(X3,X1,X4) = c_Map_Odom(X3,X2,X4) ) ).

cnf(i_0_1105,axiom,
    ( X1 != X2
    | c_Map_Odom(X3,X4,X1) = c_Map_Odom(X3,X4,X2) ) ).

cnf(i_0_1106,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).

cnf(i_0_1107,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).

cnf(i_0_1108,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).

cnf(i_0_1109,axiom,
    ( X1 != X2
    | c_Expr_Ofv(X1) = c_Expr_Ofv(X2) ) ).

cnf(i_0_1110,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X1,X3) = c_Option_Ooption_OSome(X2,X3) ) ).

cnf(i_0_1111,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X3,X1) = c_Option_Ooption_OSome(X3,X2) ) ).

cnf(i_0_1112,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1113,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1114,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X1,X3) = c_Transitive__Closure_Otrancl(X2,X3) ) ).

cnf(i_0_1115,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X3,X1) = c_Transitive__Closure_Otrancl(X3,X2) ) ).

cnf(i_0_1116,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).

cnf(i_0_1117,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).

cnf(i_0_1118,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).

cnf(i_0_1119,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).

cnf(i_0_1120,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).

cnf(i_0_1121,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).

cnf(i_0_1122,axiom,
    ( X1 != X2
    | c_Expr_Oexp_Othrow(X1,X3) = c_Expr_Oexp_Othrow(X2,X3) ) ).

cnf(i_0_1123,axiom,
    ( X1 != X2
    | c_Expr_Oexp_Othrow(X3,X1) = c_Expr_Oexp_Othrow(X3,X2) ) ).

cnf(i_0_1124,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X2,X3) ) ).

cnf(i_0_1125,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X3,X2) ) ).

cnf(i_0_1126,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1127,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1128,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1129,axiom,
    ( X1 != X2
    | ~ c_Objects_Ohext(X1,X3)
    | c_Objects_Ohext(X2,X3) ) ).

cnf(i_0_1130,axiom,
    ( X1 != X2
    | ~ c_Objects_Ohext(X3,X1)
    | c_Objects_Ohext(X3,X2) ) ).

cnf(i_0_1131,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X4,X5,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1132,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X1,X4,X5,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1133,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X1,X5,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1134,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X1,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1135,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X6,X1)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1136,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X1,X3,X4,X5,X6)
    | c_BigStep_Oeval(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1137,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X1,X4,X5,X6)
    | c_BigStep_Oeval(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1138,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X4,X1,X5,X6)
    | c_BigStep_Oeval(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1139,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X4,X5,X1,X6)
    | c_BigStep_Oeval(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1140,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X4,X5,X6,X1)
    | c_BigStep_Oeval(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1141,axiom,
    ( X1 != X2
    | ~ c_BigStep_Ofinal(X1,X3)
    | c_BigStep_Ofinal(X2,X3) ) ).

cnf(i_0_1142,axiom,
    ( X1 != X2
    | ~ c_BigStep_Ofinal(X3,X1)
    | c_BigStep_Ofinal(X3,X2) ) ).

cnf(i_0_1143,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X1,X3,X4,X5)
    | c_WellType_OWT(X2,X3,X4,X5) ) ).

cnf(i_0_1144,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X3,X1,X4,X5)
    | c_WellType_OWT(X3,X2,X4,X5) ) ).

cnf(i_0_1145,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X3,X4,X1,X5)
    | c_WellType_OWT(X3,X4,X2,X5) ) ).

cnf(i_0_1146,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X3,X4,X5,X1)
    | c_WellType_OWT(X3,X4,X5,X2) ) ).

cnf(i_0_1147,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1148,axiom,
    ( X1 != X2
    | ~ c_Relation_Osingle__valued(X1,X3,X4)
    | c_Relation_Osingle__valued(X2,X3,X4) ) ).

cnf(i_0_1149,axiom,
    ( X1 != X2
    | ~ c_Relation_Osingle__valued(X3,X1,X4)
    | c_Relation_Osingle__valued(X3,X2,X4) ) ).

cnf(i_0_1150,axiom,
    ( X1 != X2
    | ~ c_Relation_Osingle__valued(X3,X4,X1)
    | c_Relation_Osingle__valued(X3,X4,X2) ) ).

cnf(i_0_1151,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X1,X3,X4)
    | c_Relation_Ototal__on(X2,X3,X4) ) ).

cnf(i_0_1152,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X1,X4)
    | c_Relation_Ototal__on(X3,X2,X4) ) ).

cnf(i_0_1153,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X4,X1)
    | c_Relation_Ototal__on(X3,X4,X2) ) ).

cnf(i_0_1154,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X1,X3,X4)
    | c_Relation_Orefl__on(X2,X3,X4) ) ).

cnf(i_0_1155,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X1,X4)
    | c_Relation_Orefl__on(X3,X2,X4) ) ).

cnf(i_0_1156,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X4,X1)
    | c_Relation_Orefl__on(X3,X4,X2) ) ).

cnf(i_0_1157,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1158,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1159,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1160,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1161,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1162,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1163,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1164,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1165,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1166,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1167,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1168,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1169,axiom,
    ( X1 != X2
    | ~ c_WellForm_Owf__prog(X1,X3,X4)
    | c_WellForm_Owf__prog(X2,X3,X4) ) ).

cnf(i_0_1170,axiom,
    ( X1 != X2
    | ~ c_WellForm_Owf__prog(X3,X1,X4)
    | c_WellForm_Owf__prog(X3,X2,X4) ) ).

cnf(i_0_1171,axiom,
    ( X1 != X2
    | ~ c_WellForm_Owf__prog(X3,X4,X1)
    | c_WellForm_Owf__prog(X3,X4,X2) ) ).

cnf(i_0_1172,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X1,X3,X4,X5,X6)
    | c_WellTypeRT_OWTrt(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1173,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X1,X4,X5,X6)
    | c_WellTypeRT_OWTrt(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1174,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X4,X1,X5,X6)
    | c_WellTypeRT_OWTrt(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1175,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X4,X5,X1,X6)
    | c_WellTypeRT_OWTrt(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1176,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X4,X5,X6,X1)
    | c_WellTypeRT_OWTrt(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1177,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X4)
    | c_TypeSafe__Mirabelle_Osconf(X2,X3,X4) ) ).

cnf(i_0_1178,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Osconf(X3,X1,X4)
    | c_TypeSafe__Mirabelle_Osconf(X3,X2,X4) ) ).

cnf(i_0_1179,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Osconf(X3,X4,X1)
    | c_TypeSafe__Mirabelle_Osconf(X3,X4,X2) ) ).

cnf(i_0_1180,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X1,X3,X4,X5)
    | c_TypeRel_Owiden(X2,X3,X4,X5) ) ).

cnf(i_0_1181,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X3,X1,X4,X5)
    | c_TypeRel_Owiden(X3,X2,X4,X5) ) ).

cnf(i_0_1182,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X3,X4,X1,X5)
    | c_TypeRel_Owiden(X3,X4,X2,X5) ) ).

cnf(i_0_1183,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X3,X4,X5,X1)
    | c_TypeRel_Owiden(X3,X4,X5,X2) ) ).

cnf(i_0_1184,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X1,X3,X4,X5,X6)
    | c_Conform_Olconf(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1185,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X1,X4,X5,X6)
    | c_Conform_Olconf(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1186,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X4,X1,X5,X6)
    | c_Conform_Olconf(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1187,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X4,X5,X1,X6)
    | c_Conform_Olconf(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1188,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X4,X5,X6,X1)
    | c_Conform_Olconf(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1189,axiom,
    ( X1 != X2
    | ~ c_Conform_Ohconf(X1,X3,X4)
    | c_Conform_Ohconf(X2,X3,X4) ) ).

cnf(i_0_1190,axiom,
    ( X1 != X2
    | ~ c_Conform_Ohconf(X3,X1,X4)
    | c_Conform_Ohconf(X3,X2,X4) ) ).

cnf(i_0_1191,axiom,
    ( X1 != X2
    | ~ c_Conform_Ohconf(X3,X4,X1)
    | c_Conform_Ohconf(X3,X4,X2) ) ).

cnf(i_0_1192,axiom,
    ( X1 != X2
    | ~ c_DefAss_O_092_060D_062(X1,X3,X4)
    | c_DefAss_O_092_060D_062(X2,X3,X4) ) ).

cnf(i_0_1193,axiom,
    ( X1 != X2
    | ~ c_DefAss_O_092_060D_062(X3,X1,X4)
    | c_DefAss_O_092_060D_062(X3,X2,X4) ) ).

cnf(i_0_1194,axiom,
    ( X1 != X2
    | ~ c_DefAss_O_092_060D_062(X3,X4,X1)
    | c_DefAss_O_092_060D_062(X3,X4,X2) ) ).

cnf(i_0_1052_001,axiom,
    X1 = X1 ).

cnf(i_0_1053_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1054_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1055_004,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_1056_005,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_1057_006,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_1058_007,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_1059_008,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OVal(X1,X3) = c_Expr_Oexp_OVal(X2,X3) ) ).

cnf(i_0_1060_009,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OVal(X3,X1) = c_Expr_Oexp_OVal(X3,X2) ) ).

cnf(i_0_1061_010,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X1,X3,X4,X5) = c_Expr_Oexp_OBinOp(X2,X3,X4,X5) ) ).

cnf(i_0_1062_011,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X3,X1,X4,X5) = c_Expr_Oexp_OBinOp(X3,X2,X4,X5) ) ).

cnf(i_0_1063_012,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X3,X4,X1,X5) = c_Expr_Oexp_OBinOp(X3,X4,X2,X5) ) ).

cnf(i_0_1064_013,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OBinOp(X3,X4,X5,X1) = c_Expr_Oexp_OBinOp(X3,X4,X5,X2) ) ).

cnf(i_0_1065_014,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) = c_Expr_Oexp_OSeq(X2,X3,X4) ) ).

cnf(i_0_1066_015,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) = c_Expr_Oexp_OSeq(X3,X2,X4) ) ).

cnf(i_0_1067_016,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OSeq(X3,X4,X1) = c_Expr_Oexp_OSeq(X3,X4,X2) ) ).

cnf(i_0_1068_017,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X1,X3,X4,X5) = c_Map_Omap__add(X2,X3,X4,X5) ) ).

cnf(i_0_1069_018,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X3,X1,X4,X5) = c_Map_Omap__add(X3,X2,X4,X5) ) ).

cnf(i_0_1070_019,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X3,X4,X1,X5) = c_Map_Omap__add(X3,X4,X2,X5) ) ).

cnf(i_0_1071_020,axiom,
    ( X1 != X2
    | c_Map_Omap__add(X3,X4,X5,X1) = c_Map_Omap__add(X3,X4,X5,X2) ) ).

cnf(i_0_1072_021,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) = c_Expr_Oexp_OTryCatch(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1073_022,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) = c_Expr_Oexp_OTryCatch(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1074_023,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) = c_Expr_Oexp_OTryCatch(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1075_024,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) = c_Expr_Oexp_OTryCatch(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1076_025,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X1) = c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1077_026,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X1,X3,X4,X5) = c_Expr_Oexp_OCall(X2,X3,X4,X5) ) ).

cnf(i_0_1078_027,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X3,X1,X4,X5) = c_Expr_Oexp_OCall(X3,X2,X4,X5) ) ).

cnf(i_0_1079_028,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X3,X4,X1,X5) = c_Expr_Oexp_OCall(X3,X4,X2,X5) ) ).

cnf(i_0_1080_029,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCall(X3,X4,X5,X1) = c_Expr_Oexp_OCall(X3,X4,X5,X2) ) ).

cnf(i_0_1081_030,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X1,X3,X4,X5) = c_Expr_Oexp_OFAcc(X2,X3,X4,X5) ) ).

cnf(i_0_1082_031,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X3,X1,X4,X5) = c_Expr_Oexp_OFAcc(X3,X2,X4,X5) ) ).

cnf(i_0_1083_032,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X3,X4,X1,X5) = c_Expr_Oexp_OFAcc(X3,X4,X2,X5) ) ).

cnf(i_0_1084_033,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAcc(X3,X4,X5,X1) = c_Expr_Oexp_OFAcc(X3,X4,X5,X2) ) ).

cnf(i_0_1085_034,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X1,X3,X4,X5) = c_Expr_Oexp_OCond(X2,X3,X4,X5) ) ).

cnf(i_0_1086_035,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X3,X1,X4,X5) = c_Expr_Oexp_OCond(X3,X2,X4,X5) ) ).

cnf(i_0_1087_036,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X3,X4,X1,X5) = c_Expr_Oexp_OCond(X3,X4,X2,X5) ) ).

cnf(i_0_1088_037,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCond(X3,X4,X5,X1) = c_Expr_Oexp_OCond(X3,X4,X5,X2) ) ).

cnf(i_0_1089_038,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) = c_Expr_Oexp_OLAss(X2,X3,X4) ) ).

cnf(i_0_1090_039,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) = c_Expr_Oexp_OLAss(X3,X2,X4) ) ).

cnf(i_0_1091_040,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OLAss(X3,X4,X1) = c_Expr_Oexp_OLAss(X3,X4,X2) ) ).

cnf(i_0_1092_041,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) = c_Expr_Oexp_OFAss(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1093_042,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) = c_Expr_Oexp_OFAss(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1094_043,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) = c_Expr_Oexp_OFAss(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1095_044,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) = c_Expr_Oexp_OFAss(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1096_045,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X6,X1) = c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1097_046,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCast(X1,X3,X4) = c_Expr_Oexp_OCast(X2,X3,X4) ) ).

cnf(i_0_1098_047,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCast(X3,X1,X4) = c_Expr_Oexp_OCast(X3,X2,X4) ) ).

cnf(i_0_1099_048,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OCast(X3,X4,X1) = c_Expr_Oexp_OCast(X3,X4,X2) ) ).

cnf(i_0_1100_049,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OWhile(X1,X3,X4) = c_Expr_Oexp_OWhile(X2,X3,X4) ) ).

cnf(i_0_1101_050,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OWhile(X3,X1,X4) = c_Expr_Oexp_OWhile(X3,X2,X4) ) ).

cnf(i_0_1102_051,axiom,
    ( X1 != X2
    | c_Expr_Oexp_OWhile(X3,X4,X1) = c_Expr_Oexp_OWhile(X3,X4,X2) ) ).

cnf(i_0_1103_052,axiom,
    ( X1 != X2
    | c_Map_Odom(X1,X3,X4) = c_Map_Odom(X2,X3,X4) ) ).

cnf(i_0_1104_053,axiom,
    ( X1 != X2
    | c_Map_Odom(X3,X1,X4) = c_Map_Odom(X3,X2,X4) ) ).

cnf(i_0_1105_054,axiom,
    ( X1 != X2
    | c_Map_Odom(X3,X4,X1) = c_Map_Odom(X3,X4,X2) ) ).

cnf(i_0_1106_055,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).

cnf(i_0_1107_056,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).

cnf(i_0_1108_057,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).

cnf(i_0_1109_058,axiom,
    ( X1 != X2
    | c_Expr_Ofv(X1) = c_Expr_Ofv(X2) ) ).

cnf(i_0_1110_059,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X1,X3) = c_Option_Ooption_OSome(X2,X3) ) ).

cnf(i_0_1111_060,axiom,
    ( X1 != X2
    | c_Option_Ooption_OSome(X3,X1) = c_Option_Ooption_OSome(X3,X2) ) ).

cnf(i_0_1112_061,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1113_062,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1114_063,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X1,X3) = c_Transitive__Closure_Otrancl(X2,X3) ) ).

cnf(i_0_1115_064,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Otrancl(X3,X1) = c_Transitive__Closure_Otrancl(X3,X2) ) ).

cnf(i_0_1116_065,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).

cnf(i_0_1117_066,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).

cnf(i_0_1118_067,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).

cnf(i_0_1119_068,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).

cnf(i_0_1120_069,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).

cnf(i_0_1121_070,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).

cnf(i_0_1122_071,axiom,
    ( X1 != X2
    | c_Expr_Oexp_Othrow(X1,X3) = c_Expr_Oexp_Othrow(X2,X3) ) ).

cnf(i_0_1123_072,axiom,
    ( X1 != X2
    | c_Expr_Oexp_Othrow(X3,X1) = c_Expr_Oexp_Othrow(X3,X2) ) ).

cnf(i_0_1124_073,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X2,X3) ) ).

cnf(i_0_1125_074,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X3,X2) ) ).

cnf(i_0_1126_075,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1127_076,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1128_077,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1129_078,axiom,
    ( X1 != X2
    | ~ c_Objects_Ohext(X1,X3)
    | c_Objects_Ohext(X2,X3) ) ).

cnf(i_0_1130_079,axiom,
    ( X1 != X2
    | ~ c_Objects_Ohext(X3,X1)
    | c_Objects_Ohext(X3,X2) ) ).

cnf(i_0_1131_080,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X1,X3,X4,X5,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1132_081,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X1,X4,X5,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1133_082,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X1,X5,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1134_083,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X1,X6)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1135_084,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X6,X1)
    | c_TypeSafe__Mirabelle_Owf__config(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1136_085,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X1,X3,X4,X5,X6)
    | c_BigStep_Oeval(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1137_086,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X1,X4,X5,X6)
    | c_BigStep_Oeval(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1138_087,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X4,X1,X5,X6)
    | c_BigStep_Oeval(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1139_088,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X4,X5,X1,X6)
    | c_BigStep_Oeval(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1140_089,axiom,
    ( X1 != X2
    | ~ c_BigStep_Oeval(X3,X4,X5,X6,X1)
    | c_BigStep_Oeval(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1141_090,axiom,
    ( X1 != X2
    | ~ c_BigStep_Ofinal(X1,X3)
    | c_BigStep_Ofinal(X2,X3) ) ).

cnf(i_0_1142_091,axiom,
    ( X1 != X2
    | ~ c_BigStep_Ofinal(X3,X1)
    | c_BigStep_Ofinal(X3,X2) ) ).

cnf(i_0_1143_092,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X1,X3,X4,X5)
    | c_WellType_OWT(X2,X3,X4,X5) ) ).

cnf(i_0_1144_093,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X3,X1,X4,X5)
    | c_WellType_OWT(X3,X2,X4,X5) ) ).

cnf(i_0_1145_094,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X3,X4,X1,X5)
    | c_WellType_OWT(X3,X4,X2,X5) ) ).

cnf(i_0_1146_095,axiom,
    ( X1 != X2
    | ~ c_WellType_OWT(X3,X4,X5,X1)
    | c_WellType_OWT(X3,X4,X5,X2) ) ).

cnf(i_0_1147_096,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1148_097,axiom,
    ( X1 != X2
    | ~ c_Relation_Osingle__valued(X1,X3,X4)
    | c_Relation_Osingle__valued(X2,X3,X4) ) ).

cnf(i_0_1149_098,axiom,
    ( X1 != X2
    | ~ c_Relation_Osingle__valued(X3,X1,X4)
    | c_Relation_Osingle__valued(X3,X2,X4) ) ).

cnf(i_0_1150_099,axiom,
    ( X1 != X2
    | ~ c_Relation_Osingle__valued(X3,X4,X1)
    | c_Relation_Osingle__valued(X3,X4,X2) ) ).

cnf(i_0_1151_100,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X1,X3,X4)
    | c_Relation_Ototal__on(X2,X3,X4) ) ).

cnf(i_0_1152_101,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X1,X4)
    | c_Relation_Ototal__on(X3,X2,X4) ) ).

cnf(i_0_1153_102,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X4,X1)
    | c_Relation_Ototal__on(X3,X4,X2) ) ).

cnf(i_0_1154_103,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X1,X3,X4)
    | c_Relation_Orefl__on(X2,X3,X4) ) ).

cnf(i_0_1155_104,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X1,X4)
    | c_Relation_Orefl__on(X3,X2,X4) ) ).

cnf(i_0_1156_105,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X4,X1)
    | c_Relation_Orefl__on(X3,X4,X2) ) ).

cnf(i_0_1157_106,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1158_107,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1159_108,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1160_109,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1161_110,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1162_111,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1163_112,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1164_113,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1165_114,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1166_115,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1167_116,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1168_117,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1169_118,axiom,
    ( X1 != X2
    | ~ c_WellForm_Owf__prog(X1,X3,X4)
    | c_WellForm_Owf__prog(X2,X3,X4) ) ).

cnf(i_0_1170_119,axiom,
    ( X1 != X2
    | ~ c_WellForm_Owf__prog(X3,X1,X4)
    | c_WellForm_Owf__prog(X3,X2,X4) ) ).

cnf(i_0_1171_120,axiom,
    ( X1 != X2
    | ~ c_WellForm_Owf__prog(X3,X4,X1)
    | c_WellForm_Owf__prog(X3,X4,X2) ) ).

cnf(i_0_1172_121,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X1,X3,X4,X5,X6)
    | c_WellTypeRT_OWTrt(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1173_122,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X1,X4,X5,X6)
    | c_WellTypeRT_OWTrt(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1174_123,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X4,X1,X5,X6)
    | c_WellTypeRT_OWTrt(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1175_124,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X4,X5,X1,X6)
    | c_WellTypeRT_OWTrt(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1176_125,axiom,
    ( X1 != X2
    | ~ c_WellTypeRT_OWTrt(X3,X4,X5,X6,X1)
    | c_WellTypeRT_OWTrt(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1177_126,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X4)
    | c_TypeSafe__Mirabelle_Osconf(X2,X3,X4) ) ).

cnf(i_0_1178_127,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Osconf(X3,X1,X4)
    | c_TypeSafe__Mirabelle_Osconf(X3,X2,X4) ) ).

cnf(i_0_1179_128,axiom,
    ( X1 != X2
    | ~ c_TypeSafe__Mirabelle_Osconf(X3,X4,X1)
    | c_TypeSafe__Mirabelle_Osconf(X3,X4,X2) ) ).

cnf(i_0_1180_129,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X1,X3,X4,X5)
    | c_TypeRel_Owiden(X2,X3,X4,X5) ) ).

cnf(i_0_1181_130,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X3,X1,X4,X5)
    | c_TypeRel_Owiden(X3,X2,X4,X5) ) ).

cnf(i_0_1182_131,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X3,X4,X1,X5)
    | c_TypeRel_Owiden(X3,X4,X2,X5) ) ).

cnf(i_0_1183_132,axiom,
    ( X1 != X2
    | ~ c_TypeRel_Owiden(X3,X4,X5,X1)
    | c_TypeRel_Owiden(X3,X4,X5,X2) ) ).

cnf(i_0_1184_133,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X1,X3,X4,X5,X6)
    | c_Conform_Olconf(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1185_134,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X1,X4,X5,X6)
    | c_Conform_Olconf(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1186_135,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X4,X1,X5,X6)
    | c_Conform_Olconf(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1187_136,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X4,X5,X1,X6)
    | c_Conform_Olconf(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1188_137,axiom,
    ( X1 != X2
    | ~ c_Conform_Olconf(X3,X4,X5,X6,X1)
    | c_Conform_Olconf(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1189_138,axiom,
    ( X1 != X2
    | ~ c_Conform_Ohconf(X1,X3,X4)
    | c_Conform_Ohconf(X2,X3,X4) ) ).

cnf(i_0_1190_139,axiom,
    ( X1 != X2
    | ~ c_Conform_Ohconf(X3,X1,X4)
    | c_Conform_Ohconf(X3,X2,X4) ) ).

cnf(i_0_1191_140,axiom,
    ( X1 != X2
    | ~ c_Conform_Ohconf(X3,X4,X1)
    | c_Conform_Ohconf(X3,X4,X2) ) ).

cnf(i_0_1192_141,axiom,
    ( X1 != X2
    | ~ c_DefAss_O_092_060D_062(X1,X3,X4)
    | c_DefAss_O_092_060D_062(X2,X3,X4) ) ).

cnf(i_0_1193_142,axiom,
    ( X1 != X2
    | ~ c_DefAss_O_092_060D_062(X3,X1,X4)
    | c_DefAss_O_092_060D_062(X3,X2,X4) ) ).

cnf(i_0_1194_143,axiom,
    ( X1 != X2
    | ~ c_DefAss_O_092_060D_062(X3,X4,X1)
    | c_DefAss_O_092_060D_062(X3,X4,X2) ) ).

cnf(i_0_1195,plain,
    X1 = X1,
    inference(equality_inference,[],[631]) ).

cnf(i_0_1196,plain,
    X1 = X1,
    inference(equality_inference,[],[632]) ).

cnf(i_0_1197,plain,
    X1 = X1,
    inference(equality_inference,[],[633]) ).

cnf(i_0_1198,plain,
    X1 = X1,
    inference(equality_inference,[],[634]) ).

cnf(i_0_1199,plain,
    X1 = X1,
    inference(equality_inference,[],[635]) ).

cnf(i_0_1200,plain,
    X1 = X1,
    inference(equality_inference,[],[636]) ).

cnf(i_0_1201,plain,
    X1 = X1,
    inference(equality_inference,[],[637]) ).

cnf(i_0_1202,plain,
    X1 = X1,
    inference(equality_inference,[],[638]) ).

cnf(i_0_1203,plain,
    X1 = X1,
    inference(equality_inference,[],[787]) ).

cnf(i_0_1204,plain,
    X1 = X1,
    inference(equality_inference,[],[788]) ).

cnf(i_0_1205,plain,
    X1 = X1,
    inference(equality_inference,[],[789]) ).

cnf(i_0_1206,plain,
    X1 = X1,
    inference(equality_inference,[],[790]) ).

cnf(i_0_1207,plain,
    X1 = X1,
    inference(equality_inference,[],[791]) ).

cnf(i_0_1208,plain,
    X1 = X1,
    inference(equality_inference,[],[792]) ).

cnf(i_0_1209,plain,
    X1 = X1,
    inference(equality_inference,[],[793]) ).

cnf(i_0_1210,plain,
    X1 = X1,
    inference(equality_inference,[],[794]) ).

cnf(i_0_1211,plain,
    X1 = X1,
    inference(equality_inference,[],[795]) ).

cnf(i_0_1212,plain,
    X1 = X1,
    inference(equality_inference,[],[796]) ).

cnf(i_0_1213,plain,
    X1 = X1,
    inference(equality_inference,[],[797]) ).

cnf(i_0_1214,plain,
    X1 = X1,
    inference(equality_inference,[],[798]) ).

cnf(i_0_1215,plain,
    X1 = X1,
    inference(equality_inference,[],[799]) ).

cnf(i_0_1216,plain,
    X1 = X1,
    inference(equality_inference,[],[800]) ).

cnf(i_0_1217,plain,
    X1 = X1,
    inference(equality_inference,[],[959]) ).

cnf(i_0_1218,plain,
    X1 = X1,
    inference(equality_inference,[],[960]) ).

cnf(i_0_1219,plain,
    X1 = X1,
    inference(equality_inference,[],[961]) ).

cnf(i_0_1220,plain,
    X1 = X1,
    inference(equality_inference,[],[962]) ).

cnf(i_0_1221,plain,
    X1 = X1,
    inference(equality_inference,[],[963]) ).

cnf(i_0_1222,plain,
    X1 = X1,
    inference(equality_inference,[],[964]) ).

cnf(i_0_1223,plain,
    X1 = X1,
    inference(equality_inference,[],[965]) ).

cnf(i_0_1224,plain,
    X1 = X1,
    inference(equality_inference,[],[966]) ).

cnf(i_0_1225,plain,
    X1 = X1,
    inference(equality_inference,[],[1027]) ).

cnf(i_0_1226,plain,
    X1 = X1,
    inference(equality_inference,[],[1028]) ).

cnf(i_0_1227,plain,
    X1 = X1,
    inference(equality_inference,[],[1029]) ).

cnf(i_0_1228,plain,
    $false,
    inference(scs_inference,[],[i_0_595,i_0_1039,i_0_893,i_0_761,i_0_990,i_0_602]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV995-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.32  % Computer : n015.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue May  5 06:15:16 EDT 2026
% 0.12/0.32  % CPUTime    : 
% 0.12/0.33  % start to proof: theBenchmark
% 0.80/1.72  % Version  : CSE_E---1.7
% 0.80/1.72  % Problem  : theBenchmark.p
% 0.80/1.72  % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.72  % SZS output start CNFRefutation
% See solution above
% 0.91/1.80  % Total time : 1.380s
%------------------------------------------------------------------------------