TSTP Solution File: SWV925-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV925-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n010.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 : 600s
% DateTime : Wed Jul 20 19:23:20 EDT 2022
% Result : Unsatisfiable 153.37s 153.59s
% Output : CNFRefutation 153.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 617
% Syntax : Number of formulae : 4089 (2038 unt; 0 def)
% Number of atoms : 7186 (3766 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 7132 (4035 ~;3097 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-5 aty)
% Number of functors : 65 ( 65 usr; 11 con; 0-8 aty)
% Number of variables : 18087 (4243 sgn8124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X91,X100,X92,X70,X93,X94,X48,X42,X96,X49] :
( c_Nat_Osize__class_Osize(X100,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X91,tc_List_Olist(tc_Value_Oval))
| c_Nat_Osize__class_Osize(X100,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_BigStep_Oeval(X49,X42,c_Pair(X94,c_Map_Omap__upds(X70,X100,X91,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))),X48,c_Pair(X93,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X49,X42,X48,X94,X93,X70,X100,X91),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49,c_SmallStep_Oblocks(c_Pair(X100,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X48,c_Pair(X93,X92,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_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('<stdin>',cls_blocksEval_0) ).
fof(c_0_1,axiom,
! [X91,X92,X70,X93,X94,X48,X42,X95,X96,X49] :
( ~ c_BigStep_Ofinal(X48,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X42,c_Pair(X94,c_Map_Omap__upds(X70,X95,X91,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(X48,c_Pair(X93,X92,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_List_Odistinct(X95,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X91,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X95,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X95,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,c_Pair(X93,c_Fun_Ooverride__on(X92,X70,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X95),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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('<stdin>',cls_blocksRedsFinal_0) ).
fof(c_0_2,axiom,
! [X75,X76,X77,X78,X79,X38,X39,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X39,X38,tc_List_Olist(tc_String_Ochar)),X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X79,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X38,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X79,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X39,X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X75,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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('<stdin>',cls_SeqReds2_0) ).
fof(c_0_3,axiom,
! [X46,X47,X48,X42,X61,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X61,X42,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X61,X48,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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('<stdin>',cls_LAssReds_0) ).
fof(c_0_4,axiom,
! [X46,X47,X48,X38,X42,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X42,X38,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X38,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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('<stdin>',cls_SeqReds_0) ).
fof(c_0_5,axiom,
! [X46,X47,X48,X42,X61,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X61,X42,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X61,X48,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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('<stdin>',cls_red__reds_OLAssRed_0) ).
fof(c_0_6,axiom,
! [X46,X47,X48,X38,X42,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X42,X38,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X38,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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('<stdin>',cls_red__reds_OSeqRed_0) ).
fof(c_0_7,axiom,
! [X91,X70,X94,X42,X95,X96,X49] :
( c_Nat_Osize__class_Osize(X91,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X95,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X95,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X42,c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X42,tc_List_Olist(tc_String_Ochar)) ),
file('<stdin>',cls_blocksFinal_0) ).
fof(c_0_8,axiom,
! [X26,X64,X47,X61,X65,X49] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X61,X65,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X61,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X64,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X64,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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('<stdin>',cls_red__reds_ORedInitBlock_0) ).
fof(c_0_9,axiom,
! [X64,X47,X61,X65,X49] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X61,X65,c_Expr_Oexp_OVal(X64,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X64,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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('<stdin>',cls_red__reds_ORedBlock_0) ).
fof(c_0_10,axiom,
! [X26,X47,X38,X49] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X38,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X38,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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('<stdin>',cls_red__reds_ORedSeq_0) ).
fof(c_0_11,axiom,
! [X91,X26,X42,X95,X61,X96,X65] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(X61,X95,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(X65,X96,tc_Type_Oty),c_Pair(c_List_Olist_OCons(X26,X91,tc_Value_Oval),X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = c_Expr_Oexp_OBlock(X61,X65,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X61,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_SmallStep_Oblocks(c_Pair(X95,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),
file('<stdin>',cls_blocks_Osimps_I1_J_0) ).
fof(c_0_12,axiom,
! [X34,X19,X16,X14,X20,X21,X4] : c_Fun_Ofun__upd(c_Fun_Ooverride__on(X19,c_Fun_Ofun__upd(X34,X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21)),X20,X4,tc_Option_Ooption(X21)),X14,hAPP(X34,X14),X4,tc_Option_Ooption(X21)) = c_Fun_Ooverride__on(X19,X34,c_Set_Oinsert(X14,X20,X4),X4,tc_Option_Ooption(X21)),
file('<stdin>',cls_override__on__upd__lemma_0) ).
fof(c_0_13,axiom,
! [X55,X56,X14,X49] :
( ~ hBOOL(hAPP(X49,c_Option_Ooption_Ooption__case(X56,X55,hAPP(c_Option_Ooption_OSome(t_b),X14),t_a,t_b)))
| hBOOL(hAPP(X49,hAPP(X55,X14))) ),
file('<stdin>',cls_option_Osplit_1) ).
fof(c_0_14,axiom,
! [X57,X55,X56,X49] :
( ~ hBOOL(hAPP(X49,c_Option_Ooption_Ooption__case(X56,X55,hAPP(c_Option_Ooption_OSome(t_b),X57),t_a,t_b)))
| hBOOL(hAPP(X49,hAPP(X55,X57))) ),
file('<stdin>',cls_option_Osplit__asm_1) ).
fof(c_0_15,axiom,
! [X55,X56,X49] :
( ~ hBOOL(hAPP(X49,c_Option_Ooption_Ooption__case(X56,X55,c_Option_Ooption_ONone(t_b),t_a,t_b)))
| hBOOL(hAPP(X49,X56)) ),
file('<stdin>',cls_option_Osplit_0) ).
fof(c_0_16,axiom,
! [X37,X59,X16,X60,X14,X21,X4] :
( c_Map_Omap__upds(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21)),X60,X59,X4,X21) = c_Fun_Ofun__upd(c_Map_Omap__upds(X37,X60,X59,X4,X21),X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21))
| c_in(X14,hAPP(c_List_Oset(X4),X60),X4) ),
file('<stdin>',cls_map__upds__twist_0) ).
fof(c_0_17,axiom,
! [X37,X66,X67,X16,X14,X21,X4] :
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X37,X14,X16,X4,X21),X67,X66,X4,X21) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X37,X67,X66,X4,X21),X14,X16,X4,X21)
| X14 = X67 ),
file('<stdin>',cls_fun__upd__twist_0) ).
fof(c_0_18,axiom,
! [X27,X26,X52,X53,X63,X81,X21,X4] :
( hAPP(X53,X27) != hAPP(c_Option_Ooption_OSome(X4),X26)
| hAPP(X52,X63) != hAPP(c_Option_Ooption_OSome(X21),X27)
| c_Map_Omap__comp(X53,X52,X63,X21,X4,X81) = hAPP(c_Option_Ooption_OSome(X4),X26) ),
file('<stdin>',cls_map__comp__Some__iff_2) ).
fof(c_0_19,axiom,
! [X27,X52,X53,X63,X81,X21,X4] :
( hAPP(X53,X27) != c_Option_Ooption_ONone(X4)
| hAPP(X52,X63) != hAPP(c_Option_Ooption_OSome(X21),X27)
| c_Map_Omap__comp(X53,X52,X63,X21,X4,X81) = c_Option_Ooption_ONone(X4) ),
file('<stdin>',cls_map__comp__None__iff_3) ).
fof(c_0_20,axiom,
! [X52,X53,X89,X63,X81,X21,X4] :
( hAPP(X52,X63) != hAPP(c_Option_Ooption_OSome(X4),X89)
| c_Map_Omap__comp(X53,X52,X63,X4,X81,X21) = hAPP(X53,X89) ),
file('<stdin>',cls_map__comp__simps_I2_J_0) ).
fof(c_0_21,axiom,
! [X52,X53,X63,X81,X21,X4] :
( hAPP(X52,X63) != c_Option_Ooption_ONone(X4)
| c_Map_Omap__comp(X53,X52,X63,X4,X81,X21) = c_Option_Ooption_ONone(X81) ),
file('<stdin>',cls_map__comp__simps_I1_J_0) ).
fof(c_0_22,axiom,
! [X52,X53,X63,X81,X21,X4] :
( hAPP(X52,X63) != c_Option_Ooption_ONone(X21)
| c_Map_Omap__comp(X53,X52,X63,X21,X4,X81) = c_Option_Ooption_ONone(X4) ),
file('<stdin>',cls_map__comp__None__iff_2) ).
fof(c_0_23,axiom,
! [X26,X76,X77,X78,X38,X39,X80,X49] :
( c_BigStep_Oeval(X49,c_Expr_Oexp_OSeq(X80,X39,tc_List_Olist(tc_String_Ochar)),X78,X38,X76)
| ~ c_BigStep_Oeval(X49,X39,X77,X38,X76)
| ~ c_BigStep_Oeval(X49,X80,X78,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X77) ),
file('<stdin>',cls_Seq_0) ).
fof(c_0_24,axiom,
! [X38,X39,X61,X58,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X61,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X39,X58,X61,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I15_J_1) ).
fof(c_0_25,axiom,
! [X37,X59,X16,X60,X14,X21,X4] : c_Map_Omap__upds(X37,c_List_Olist_OCons(X14,X60,X4),c_List_Olist_OCons(X16,X59,X21),X4,X21) = c_Map_Omap__upds(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21)),X60,X59,X4,X21),
file('<stdin>',cls_map__upds__Cons_0) ).
fof(c_0_26,axiom,
! [X69,X40,X27,X19,X21,X4] : c_Fun_Ofun__upd(c_Fun_Ofun__upd(X19,X27,X40,X4,X21),X27,X69,X4,X21) = c_Fun_Ofun__upd(X19,X27,X69,X4,X21),
file('<stdin>',cls_fun__upd__upd_0) ).
fof(c_0_27,axiom,
! [X38,X39,X61,X58,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X39,X58,X61,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X61,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I15_J_2) ).
fof(c_0_28,axiom,
! [X40,X27,X34,X19,X21,X4] : c_Map_Omap__add(X19,c_Fun_Ofun__upd(X34,X27,hAPP(c_Option_Ooption_OSome(X21),X40),X4,tc_Option_Ooption(X21)),X4,X21) = c_Fun_Ofun__upd(c_Map_Omap__add(X19,X34,X4,X21),X27,hAPP(c_Option_Ooption_OSome(X21),X40),X4,tc_Option_Ooption(X21)),
file('<stdin>',cls_map__add__upd_0) ).
fof(c_0_29,axiom,
! [X32,X28,X52,X53,X21,X4] : c_Map_Omap__add(X53,c_Map_Omap__upds(X52,X28,X32,X4,X21),X4,X21) = c_Map_Omap__upds(c_Map_Omap__add(X53,X52,X4,X21),X28,X32,X4,X21),
file('<stdin>',cls_map__add__upds_0) ).
fof(c_0_30,axiom,
! [X42] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X42,
file('<stdin>',cls_blocks_Osimps_I2_J_0) ).
fof(c_0_31,axiom,
! [X38,X39,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I8_J_1) ).
fof(c_0_32,axiom,
! [X40,X27,X37,X16,X14,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X4),X16),X21,tc_Option_Ooption(X4)),X27) != hAPP(c_Option_Ooption_OSome(X4),X40)
| hAPP(X37,X27) = hAPP(c_Option_Ooption_OSome(X4),X40)
| X27 = X14 ),
file('<stdin>',cls_map__upd__Some__unfold_0) ).
fof(c_0_33,axiom,
! [X40,X27,X37,X16,X14,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X4),X16),X21,tc_Option_Ooption(X4)),X27) != hAPP(c_Option_Ooption_OSome(X4),X40)
| hAPP(X37,X27) = hAPP(c_Option_Ooption_OSome(X4),X40)
| X16 = X40 ),
file('<stdin>',cls_map__upd__Some__unfold_2) ).
fof(c_0_34,axiom,
! [X40,X27,X37,X16,X73,X4] :
( X16 = X40
| hAPP(c_Fun_Ofun__upd(X37,X27,hAPP(c_Option_Ooption_OSome(X73),X16),X4,tc_Option_Ooption(X73)),X27) != hAPP(c_Option_Ooption_OSome(X73),X40) ),
file('<stdin>',cls_map__upd__Some__unfold_1) ).
fof(c_0_35,axiom,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),X4) ),
file('<stdin>',cls_distinct__insort_0) ).
fof(c_0_36,axiom,
! [X40,X27,X62,X37,X14,X21,X4] :
( c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X21),X27),X4,tc_Option_Ooption(X21)) != c_Fun_Ofun__upd(X62,X14,hAPP(c_Option_Ooption_OSome(X21),X40),X4,tc_Option_Ooption(X21))
| X27 = X40 ),
file('<stdin>',cls_map__upd__eqD1_0) ).
fof(c_0_37,axiom,
! [X38,X39,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I8_J_0) ).
fof(c_0_38,axiom,
! [X38,X39,X61,X58,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X39,X58,X61,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I15_J_0) ).
fof(c_0_39,axiom,
! [X32,X40,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Olinorder__class_Oinsort__key(X19,X27,c_List_Olist_OCons(X40,X32,X4),X4,X21) = c_List_Olist_OCons(X40,c_List_Olinorder__class_Oinsort__key(X19,X27,X32,X4,X21),X4)
| c_lessequals(hAPP(X19,X27),hAPP(X19,X40),X21) ),
file('<stdin>',cls_insort__key_Osimps_I2_J_1) ).
fof(c_0_40,axiom,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),X4) ),
file('<stdin>',cls_distinct__insort_1) ).
fof(c_0_41,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X3 = X9 ),
file('<stdin>',cls_exp_Osimps_I15_J_0) ).
fof(c_0_42,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X15 = X11 ),
file('<stdin>',cls_exp_Osimps_I15_J_1) ).
fof(c_0_43,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X14 = X12 ),
file('<stdin>',cls_exp_Osimps_I15_J_2) ).
fof(c_0_44,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X2 = X8 ),
file('<stdin>',cls_exp_Osimps_I15_J_3) ).
fof(c_0_45,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X3 = X9 ),
file('<stdin>',cls_exp_Osimps_I8_J_0) ).
fof(c_0_46,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X6 = X18 ),
file('<stdin>',cls_exp_Osimps_I8_J_1) ).
fof(c_0_47,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X5 = X17 ),
file('<stdin>',cls_exp_Osimps_I8_J_2) ).
fof(c_0_48,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X2 = X8 ),
file('<stdin>',cls_exp_Osimps_I8_J_3) ).
fof(c_0_49,axiom,
! [X11,X5,X6,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I182_J_0) ).
fof(c_0_50,axiom,
! [X11,X5,X6,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I183_J_0) ).
fof(c_0_51,axiom,
! [X38,X39,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I8_J_2) ).
fof(c_0_52,axiom,
! [X40,X27,X37,X16,X14,X21,X4] :
( hAPP(X37,X27) != hAPP(c_Option_Ooption_OSome(X4),X40)
| X27 = X14
| hAPP(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X4),X16),X21,tc_Option_Ooption(X4)),X27) = hAPP(c_Option_Ooption_OSome(X4),X40) ),
file('<stdin>',cls_map__upd__Some__unfold_4) ).
fof(c_0_53,axiom,
! [X31,X32,X28,X37,X21,X4] :
( c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X32,tc_List_Olist(X21))
| c_Map_Omap__upds(X37,X28,c_List_Oappend(X32,X31,X21),X4,X21) = c_Map_Omap__upds(X37,X28,X32,X4,X21) ),
file('<stdin>',cls_fun__upds__append2__drop_0) ).
fof(c_0_54,axiom,
! [X31,X32,X28,X37,X21,X4] :
( c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X32,tc_List_Olist(X21))
| c_Map_Omap__upds(X37,c_List_Oappend(X28,X31,X4),X32,X4,X21) = c_Map_Omap__upds(X37,X28,X32,X4,X21) ),
file('<stdin>',cls_fun__upds__append__drop_0) ).
fof(c_0_55,axiom,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),X4)
| ~ c_List_Odistinct(X28,X4)
| c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
file('<stdin>',cls_distinct__insort_2) ).
fof(c_0_56,axiom,
! [X57,X27,X37,X73,X4] : hAPP(c_Fun_Ofun__upd(X37,X57,hAPP(c_Option_Ooption_OSome(X4),X27),X73,tc_Option_Ooption(X4)),X57) = hAPP(c_Option_Ooption_OSome(X4),X27),
file('<stdin>',cls_map__upd__Some__unfold_3) ).
fof(c_0_57,axiom,
! [X32,X28,X27,X19,X21,X4] :
( hAPP(c_Map_Omap__upds(X19,X28,X32,X4,X21),X27) = hAPP(X19,X27)
| c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
file('<stdin>',cls_map__upds__apply__nontin_0) ).
fof(c_0_58,axiom,
! [X38,X39,X43,X44,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X39,X4),c_DefAss_O_092_060A_062(X38,X4),X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I8_J_0) ).
fof(c_0_59,axiom,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| hAPP(c_List_Oset(X4),c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21)) = c_Set_Oinsert(X27,hAPP(c_List_Oset(X4),X28),X4) ),
file('<stdin>',cls_set__insort_0) ).
fof(c_0_60,axiom,
! [X34,X19,X14,X20,X21,X4] :
( hAPP(c_Fun_Ooverride__on(X19,X34,X20,X4,X21),X14) = hAPP(X34,X14)
| ~ c_in(X14,X20,X4) ),
file('<stdin>',cls_override__on__apply__in_0) ).
fof(c_0_61,axiom,
! [X34,X19,X14,X20,X21,X4] :
( hAPP(c_Fun_Ooverride__on(X19,X34,X20,X4,X21),X14) = hAPP(X19,X14)
| c_in(X14,X20,X4) ),
file('<stdin>',cls_override__on__apply__notin_0) ).
fof(c_0_62,axiom,
! [X71,X67,X16,X14,X4] :
( c_in(c_Pair(X14,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X16,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X14,X16,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_rtrancl__trans_0) ).
fof(c_0_63,axiom,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4))) ),
file('<stdin>',cls_length__insert_0) ).
fof(c_0_64,axiom,
! [X71,X67,X16,X14,X4] :
( c_in(c_Pair(X14,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X16,X67,X4,X4),X71,tc_prod(X4,X4))
| ~ c_in(c_Pair(X14,X16,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4)) ),
file('<stdin>',cls_rtrancl_Ortrancl__into__rtrancl_0) ).
fof(c_0_65,axiom,
! [X71,X67,X16,X14,X4] :
( c_in(c_Pair(X14,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X16,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X14,X16,X4,X4),X71,tc_prod(X4,X4)) ),
file('<stdin>',cls_converse__rtrancl__into__rtrancl_0) ).
fof(c_0_66,axiom,
! [X69,X40,X27,X19,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X19,X27,X40,X4,X21),X69) = hAPP(X19,X69)
| X69 = X27 ),
file('<stdin>',cls_fun__upd__other_0) ).
fof(c_0_67,axiom,
! [X69,X40,X27,X19,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X19,X27,X40,X21,X4),X69) = hAPP(X19,X69)
| X69 = X27 ),
file('<stdin>',cls_fun__upd__apply_1) ).
fof(c_0_68,axiom,
! [X40,X27,X19,X73,X4] : hAPP(c_Fun_Ofun__upd(X19,X27,X40,X4,X73),X27) = X40,
file('<stdin>',cls_fun__upd__apply_0) ).
fof(c_0_69,axiom,
! [X40,X27,X19,X21,X4] : hAPP(c_Fun_Ofun__upd(X19,X27,X40,X21,X4),X27) = X40,
file('<stdin>',cls_fun__upd__same_0) ).
fof(c_0_70,axiom,
! [X13,X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I204_J_0) ).
fof(c_0_71,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I194_J_0) ).
fof(c_0_72,axiom,
! [X17,X5,X18,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
file('<stdin>',cls_exp_Osimps_I154_J_0) ).
fof(c_0_73,axiom,
! [X17,X18,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I101_J_0) ).
fof(c_0_74,axiom,
! [X11,X8,X2,X9,X3,X35,X12,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I114_J_0) ).
fof(c_0_75,axiom,
! [X17,X5,X18,X6,X1,X2,X3,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I171_J_0) ).
fof(c_0_76,axiom,
! [X5,X6,X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I176_J_0) ).
fof(c_0_77,axiom,
! [X11,X22,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OCond(X3,X2,X22,X4),
file('<stdin>',cls_exp_Osimps_I219_J_0) ).
fof(c_0_78,axiom,
! [X13,X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
file('<stdin>',cls_exp_Osimps_I205_J_0) ).
fof(c_0_79,axiom,
! [X17,X5,X18,X6,X1,X2,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I170_J_0) ).
fof(c_0_80,axiom,
! [X17,X5,X18,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I155_J_0) ).
fof(c_0_81,axiom,
! [X11,X8,X2,X9,X3,X35,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I115_J_0) ).
fof(c_0_82,axiom,
! [X33,X5,X6,X1,X2,X3,X12,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I172_J_0) ).
fof(c_0_83,axiom,
! [X11,X22,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I218_J_0) ).
fof(c_0_84,axiom,
! [X33,X5,X6,X1,X2,X3,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I173_J_0) ).
fof(c_0_85,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I168_J_0) ).
fof(c_0_86,axiom,
! [X17,X18,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
file('<stdin>',cls_exp_Osimps_I100_J_0) ).
fof(c_0_87,axiom,
! [X5,X6,X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I177_J_0) ).
fof(c_0_88,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I195_J_0) ).
fof(c_0_89,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I169_J_0) ).
fof(c_0_90,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I212_J_0) ).
fof(c_0_91,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
file('<stdin>',cls_exp_Osimps_I213_J_0) ).
fof(c_0_92,axiom,
! [X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I153_J_0) ).
fof(c_0_93,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I178_J_0) ).
fof(c_0_94,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I179_J_0) ).
fof(c_0_95,axiom,
! [X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I152_J_0) ).
fof(c_0_96,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I175_J_0) ).
fof(c_0_97,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I222_J_0) ).
fof(c_0_98,axiom,
! [X17,X18,X15,X8,X9,X10,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I55_J_0) ).
fof(c_0_99,axiom,
! [X11,X15,X8,X9,X10,X12,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I68_J_0) ).
fof(c_0_100,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I174_J_0) ).
fof(c_0_101,axiom,
! [X17,X18,X8,X9,X10,X14,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I139_J_0) ).
fof(c_0_102,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
file('<stdin>',cls_exp_Osimps_I223_J_0) ).
fof(c_0_103,axiom,
! [X17,X18,X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
file('<stdin>',cls_exp_Osimps_I138_J_0) ).
fof(c_0_104,axiom,
! [X11,X15,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I69_J_0) ).
fof(c_0_105,axiom,
! [X17,X18,X15,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
file('<stdin>',cls_exp_Osimps_I54_J_0) ).
fof(c_0_106,axiom,
! [X14,X25,X20,X4] : c_DefAss_OhyperUn(X20,c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X25,X4),X4) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),c_DefAss_OhyperUn(X20,X25,X4),X4),
file('<stdin>',cls_hyper__insert__comm_1) ).
fof(c_0_107,axiom,
! [X26,X46,X47,X48,X49] :
( X48 = c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X49,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47,X48,X46) ),
file('<stdin>',cls_eval__cases_I1_J_0) ).
fof(c_0_108,axiom,
! [X26,X46,X47,X48,X49] :
( X46 = X47
| ~ c_BigStep_Oeval(X49,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47,X48,X46) ),
file('<stdin>',cls_eval__cases_I1_J_1) ).
fof(c_0_109,axiom,
! [X29,X17,X18,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
file('<stdin>',cls_exp_Osimps_I78_J_0) ).
fof(c_0_110,axiom,
! [X29,X11,X8,X9,X12,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I92_J_0) ).
fof(c_0_111,axiom,
! [X5,X6,X1,X2,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I180_J_0) ).
fof(c_0_112,axiom,
! [X29,X11,X8,X9,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I93_J_0) ).
fof(c_0_113,axiom,
! [X11,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_Othrow(X10,X4),
file('<stdin>',cls_exp_Osimps_I225_J_0) ).
fof(c_0_114,axiom,
! [X11,X15,X8,X9,X12,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I42_J_0) ).
fof(c_0_115,axiom,
! [X17,X18,X15,X8,X9,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I29_J_0) ).
fof(c_0_116,axiom,
! [X17,X18,X15,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
file('<stdin>',cls_exp_Osimps_I28_J_0) ).
fof(c_0_117,axiom,
! [X5,X6,X1,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
file('<stdin>',cls_exp_Osimps_I181_J_0) ).
fof(c_0_118,axiom,
! [X11,X8,X9,X10,X12,X4] : c_Expr_Oexp_Othrow(X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
file('<stdin>',cls_exp_Osimps_I224_J_0) ).
fof(c_0_119,axiom,
! [X29,X17,X18,X8,X9,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I79_J_0) ).
fof(c_0_120,axiom,
! [X11,X15,X8,X9,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I43_J_0) ).
fof(c_0_121,axiom,
! [X46,X47,X48,X42,X49] :
( c_BigStep_Ofinal(X48,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X49,X42,X47,X48,X46) ),
file('<stdin>',cls_eval__final_0) ).
fof(c_0_122,axiom,
! [X40,X27,X19,X21,X4] :
( c_Fun_Ofun__upd(X19,X27,X40,X4,X21) != X19
| hAPP(X19,X27) = X40 ),
file('<stdin>',cls_fun__upd__idem__iff_0) ).
fof(c_0_123,axiom,
! [X32,X40,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Olinorder__class_Oinsort__key(X19,X27,c_List_Olist_OCons(X40,X32,X4),X4,X21) = c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X32,X4),X4)
| ~ c_lessequals(hAPP(X19,X27),hAPP(X19,X40),X21) ),
file('<stdin>',cls_insort__key_Osimps_I2_J_0) ).
fof(c_0_124,axiom,
! [X51,X52,X53,X21,X4] : c_Map_Omap__add(X53,c_Map_Omap__add(X52,X51,X4,X21),X4,X21) = c_Map_Omap__add(c_Map_Omap__add(X53,X52,X4,X21),X51,X4,X21),
file('<stdin>',cls_map__add__assoc_0) ).
fof(c_0_125,axiom,
! [X16,X14,X25,X20,X21,X4] :
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),X16))
| ~ hBOOL(hAPP(hAPP(X25,X14),X16))
| ~ c_in(X14,X20,X4) ),
file('<stdin>',cls_SUP1__I_0) ).
fof(c_0_126,axiom,
! [X27,X16,X25,X20,X21,X4] :
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),X16))
| ~ hBOOL(hAPP(hAPP(X25,X27),X16))
| ~ c_in(X27,X20,X4) ),
file('<stdin>',cls_SUP1__iff_2) ).
fof(c_0_127,axiom,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I12_J_3) ).
fof(c_0_128,axiom,
! [X27,X84,X63,X21,X4] :
( hAPP(X84,X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| c_Fun_Ofun__upd(X84,X63,hAPP(c_Option_Ooption_OSome(X4),X27),X21,tc_Option_Ooption(X4)) = X84 ),
file('<stdin>',cls_map__upd__triv_0) ).
fof(c_0_129,axiom,
! [X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Olinorder__class_Oinsort__key(X19,X27,c_List_Olist_ONil(X4),X4,X21) = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) ),
file('<stdin>',cls_insort__key_Osimps_I1_J_0) ).
fof(c_0_130,axiom,
! [X26,X47,X49] : c_BigStep_Oeval(X49,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47),
file('<stdin>',cls_Val_0) ).
fof(c_0_131,axiom,
! [X34,X19,X21,X4] : c_Fun_Ooverride__on(X19,X34,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X21) = X19,
file('<stdin>',cls_override__on__emptyset_0) ).
fof(c_0_132,axiom,
! [X55,X56,X14,X21,X4] : c_Option_Ooption_Ooption__case(X56,X55,hAPP(c_Option_Ooption_OSome(X21),X14),X4,X21) = hAPP(X55,X14),
file('<stdin>',cls_option_Osimps_I5_J_0) ).
fof(c_0_133,axiom,
! [X47,X42,X49] :
( c_BigStep_Oeval(X49,X42,X47,X42,X47)
| ~ c_BigStep_Ofinal(X42,tc_List_Olist(tc_String_Ochar)) ),
file('<stdin>',cls_eval__finalId_0) ).
fof(c_0_134,axiom,
! [X27,X19,X73,X4] : c_Fun_Ofun__upd(X19,X27,hAPP(X19,X27),X73,X4) = X19,
file('<stdin>',cls_fun__upd__idem__iff_1) ).
fof(c_0_135,axiom,
! [X27,X19,X21,X4] : c_Fun_Ofun__upd(X19,X27,hAPP(X19,X27),X4,X21) = X19,
file('<stdin>',cls_fun__upd__triv_0) ).
fof(c_0_136,axiom,
! [X27,X19,X21,X4] : c_Fun_Ofun__upd(X19,X27,hAPP(X19,X27),X21,X4) = X19,
file('<stdin>',cls_fun__upd__idem_0) ).
fof(c_0_137,axiom,
! [X14,X20,X4] : c_DefAss_OhyperUn(X20,hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X20,X4),
file('<stdin>',cls_hyper__insert__comm_0) ).
fof(c_0_138,axiom,
! [X37,X59,X21,X4] : c_Map_Omap__upds(X37,c_List_Olist_ONil(X4),X59,X4,X21) = X37,
file('<stdin>',cls_map__upds__Nil1_0) ).
fof(c_0_139,axiom,
! [X37,X60,X21,X4] : c_Map_Omap__upds(X37,X60,c_List_Olist_ONil(X21),X4,X21) = X37,
file('<stdin>',cls_map__upds__Nil2_0) ).
fof(c_0_140,axiom,
! [X55,X56,X21,X4] : c_Option_Ooption_Ooption__case(X56,X55,c_Option_Ooption_ONone(X21),X4,X21) = X56,
file('<stdin>',cls_option_Osimps_I4_J_0) ).
fof(c_0_141,axiom,
! [X27,X41,X25,X20,X21,X4] :
( c_lessequals(hAPP(X20,X27),X25,tc_fun(X4,tc_bool))
| ~ c_in(X27,X41,X21)
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X41,X20,X21,tc_fun(X4,tc_bool)),X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_UN__subset__iff_0) ).
fof(c_0_142,axiom,
! [X38,X39,X35,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I4_J_1) ).
fof(c_0_143,axiom,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I12_J_2) ).
fof(c_0_144,axiom,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(X39,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I12_J_1) ).
fof(c_0_145,axiom,
! [X38,X39,X35,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I4_J_2) ).
fof(c_0_146,axiom,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I12_J_0) ).
fof(c_0_147,axiom,
! [X38,X39,X35,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I4_J_0) ).
fof(c_0_148,axiom,
! [X42,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X42,X43,X44,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I7_J_0) ).
fof(c_0_149,axiom,
! [X97,X42,X24,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X42,X24,X97,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I9_J_0) ).
fof(c_0_150,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X37,X63) = hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X62,X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
file('<stdin>',cls_map__add__SomeD_1) ).
fof(c_0_151,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X62,X63) = c_Option_Ooption_ONone(X4)
| hAPP(X62,X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
file('<stdin>',cls_map__add__SomeD_0) ).
fof(c_0_152,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X16 = X67
| X16 = X66 ),
file('<stdin>',cls_doubleton__eq__iff_3) ).
fof(c_0_153,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X14 = X66
| X16 = X66 ),
file('<stdin>',cls_doubleton__eq__iff_2) ).
fof(c_0_154,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X16 = X67
| X14 = X67 ),
file('<stdin>',cls_doubleton__eq__iff_1) ).
fof(c_0_155,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X14 = X66
| X14 = X67 ),
file('<stdin>',cls_doubleton__eq__iff_0) ).
fof(c_0_156,axiom,
! [X83,X57,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Oappend(X57,c_List_Olist_OCons(X27,X83,X4),X4)),X4)
| c_in(X27,hAPP(c_List_Oset(X4),X83),X4) ),
file('<stdin>',cls_in__set__conv__decomp__last_2) ).
fof(c_0_157,axiom,
! [X83,X57,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Oappend(X57,c_List_Olist_OCons(X27,X83,X4),X4)),X4)
| c_in(X27,hAPP(c_List_Oset(X4),X57),X4) ),
file('<stdin>',cls_in__set__conv__decomp__first_2) ).
fof(c_0_158,axiom,
! [X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != c_Option_Ooption_ONone(X4)
| hAPP(X62,X63) = c_Option_Ooption_ONone(X4) ),
file('<stdin>',cls_map__add__None_0) ).
fof(c_0_159,axiom,
! [X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != c_Option_Ooption_ONone(X4)
| hAPP(X37,X63) = c_Option_Ooption_ONone(X4) ),
file('<stdin>',cls_map__add__None_1) ).
fof(c_0_160,axiom,
! [X16,X14,X25,X20,X21,X4] :
( c_in(X16,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),X21)
| ~ c_in(X16,hAPP(X25,X14),X21)
| ~ c_in(X14,X20,X4) ),
file('<stdin>',cls_UN__I_0) ).
fof(c_0_161,axiom,
! [X27,X16,X25,X20,X21,X4] :
( c_in(X16,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X21,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X16,hAPP(X25,X27),X4)
| ~ c_in(X27,X20,X21) ),
file('<stdin>',cls_UN__iff_2) ).
fof(c_0_162,axiom,
! [X19,X14,X20,X21,X4] :
( c_Fun_Oinj__on(X19,X20,X4,X21)
| ~ c_Fun_Oinj__on(X19,c_Set_Oinsert(X14,X20,X4),X4,X21) ),
file('<stdin>',cls_inj__on__insert_0) ).
fof(c_0_163,axiom,
! [X14,X25,X21,X4] : c_Set_Oinsert(X14,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X21,tc_bool)),X25,X21,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('<stdin>',cls_UN__extend__simps_I1_J_0) ).
fof(c_0_164,axiom,
! [X32,X28,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(c_List_Oappend(X28,X32,X4),X4)),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(X28,X4)),X4) ),
file('<stdin>',cls_in__set__butlast__appendI_0) ).
fof(c_0_165,axiom,
! [X32,X28,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(c_List_Oappend(X28,X32,X4),X4)),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(X32,X4)),X4) ),
file('<stdin>',cls_in__set__butlast__appendI_1) ).
fof(c_0_166,axiom,
! [X101,X16,X12,X14,X21,X4] :
( c_Pair(X14,X16,X4,X21) != c_Pair(X12,X101,X4,X21)
| X14 = X12 ),
file('<stdin>',cls_Pair__eq_0) ).
fof(c_0_167,axiom,
! [X101,X16,X12,X14,X21,X4] :
( c_Pair(X14,X16,X4,X21) != c_Pair(X12,X101,X4,X21)
| X16 = X101 ),
file('<stdin>',cls_Pair__eq_1) ).
fof(c_0_168,axiom,
! [X8,X2,X9,X3,X30,X35,X4] :
( c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4)
| X3 = X9 ),
file('<stdin>',cls_exp_Osimps_I4_J_0) ).
fof(c_0_169,axiom,
! [X8,X2,X9,X3,X30,X35,X4] :
( c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4)
| X35 = X30 ),
file('<stdin>',cls_exp_Osimps_I4_J_1) ).
fof(c_0_170,axiom,
! [X8,X2,X9,X3,X30,X35,X4] :
( c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4)
| X2 = X8 ),
file('<stdin>',cls_exp_Osimps_I4_J_2) ).
fof(c_0_171,axiom,
! [X7,X22,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4)
| X3 = X9 ),
file('<stdin>',cls_exp_Osimps_I12_J_0) ).
fof(c_0_172,axiom,
! [X7,X22,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4)
| X2 = X8 ),
file('<stdin>',cls_exp_Osimps_I12_J_1) ).
fof(c_0_173,axiom,
! [X7,X22,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4)
| X22 = X7 ),
file('<stdin>',cls_exp_Osimps_I12_J_2) ).
fof(c_0_174,axiom,
! [X33,X13,X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4)
| X14 = X12 ),
file('<stdin>',cls_exp_Osimps_I10_J_0) ).
fof(c_0_175,axiom,
! [X33,X13,X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4)
| X13 = X33 ),
file('<stdin>',cls_exp_Osimps_I10_J_1) ).
fof(c_0_176,axiom,
! [X33,X13,X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4)
| X10 = X1 ),
file('<stdin>',cls_exp_Osimps_I10_J_2) ).
fof(c_0_177,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4)
| X5 = X17 ),
file('<stdin>',cls_exp_Osimps_I9_J_2) ).
fof(c_0_178,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4)
| X6 = X18 ),
file('<stdin>',cls_exp_Osimps_I9_J_1) ).
fof(c_0_179,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4)
| X10 = X1 ),
file('<stdin>',cls_exp_Osimps_I9_J_0) ).
fof(c_0_180,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4)
| X10 = X1 ),
file('<stdin>',cls_exp_Osimps_I7_J_0) ).
fof(c_0_181,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4)
| X6 = X18 ),
file('<stdin>',cls_exp_Osimps_I7_J_1) ).
fof(c_0_182,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4)
| X5 = X17 ),
file('<stdin>',cls_exp_Osimps_I7_J_2) ).
fof(c_0_183,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I99_J_0) ).
fof(c_0_184,axiom,
! [X7,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I108_J_0) ).
fof(c_0_185,axiom,
! [X33,X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I104_J_0) ).
fof(c_0_186,axiom,
! [X17,X5,X18,X6,X1,X10,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I157_J_0) ).
fof(c_0_187,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I158_J_0) ).
fof(c_0_188,axiom,
! [X17,X5,X18,X6,X1,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I156_J_0) ).
fof(c_0_189,axiom,
! [X13,X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I198_J_0) ).
fof(c_0_190,axiom,
! [X13,X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
file('<stdin>',cls_exp_Osimps_I199_J_0) ).
fof(c_0_191,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I162_J_0) ).
fof(c_0_192,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I159_J_0) ).
fof(c_0_193,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I185_J_0) ).
fof(c_0_194,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I103_J_0) ).
fof(c_0_195,axiom,
! [X33,X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I105_J_0) ).
fof(c_0_196,axiom,
! [X7,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I109_J_0) ).
fof(c_0_197,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I102_J_0) ).
fof(c_0_198,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I98_J_0) ).
fof(c_0_199,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I188_J_0) ).
fof(c_0_200,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I184_J_0) ).
fof(c_0_201,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I189_J_0) ).
fof(c_0_202,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I163_J_0) ).
fof(c_0_203,axiom,
! [X19,X25,X20,X21,X4] :
( c_Fun_Oinj__on(X19,X20,X4,X21)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X19,X25,X4,X21) ),
file('<stdin>',cls_subset__inj__on_0) ).
fof(c_0_204,axiom,
! [X42,X61,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OLAss(X61,X42,X4),X4) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X61,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),c_DefAss_O_092_060A_062(X42,X4),X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I6_J_0) ).
fof(c_0_205,axiom,
! [X83,X57,X27,X4] : c_in(X27,hAPP(c_List_Oset(X4),c_List_Oappend(X57,c_List_Olist_OCons(X27,X83,X4),X4)),X4),
file('<stdin>',cls_in__set__conv__decomp_1) ).
fof(c_0_206,axiom,
! [X14,X25,X20,X21,X4] :
( c_lessequals(hAPP(X25,X14),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| ~ c_in(X14,X20,X4) ),
file('<stdin>',cls_UN__upper_0) ).
fof(c_0_207,axiom,
! [X23,X24,X20,X21,X4] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X21)
| c_lessequals(hAPP(X24,X23),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X24,X4,X21),X21)
| ~ c_in(X23,X20,X4) ),
file('<stdin>',cls_le__SUPI_0) ).
fof(c_0_208,axiom,
! [X31,X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X40,X31,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X31,X4),X4),X4) ),
file('<stdin>',cls_sorted_Osimps_I3_J_1) ).
fof(c_0_209,axiom,
! [X27,X49,X4] :
( ~ hBOOL(hAPP(X49,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X4),X27),X49,X4)))
| hBOOL(hAPP(X49,X27)) ),
file('<stdin>',cls_ospec_1) ).
fof(c_0_210,axiom,
! [X32,X40,X28,X27,X4] : c_List_Osplice(c_List_Olist_OCons(X27,X28,X4),c_List_Olist_OCons(X40,X32,X4),X4) = c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,c_List_Osplice(X28,X32,X4),X4),X4),
file('<stdin>',cls_splice__Cons__Cons_0) ).
fof(c_0_211,axiom,
! [X42,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X42,X43,X44,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I7_J_1) ).
fof(c_0_212,axiom,
! [X31,X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X31,X4),X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X40,X31,X4),X4)
| ~ c_lessequals(X27,X40,X4) ),
file('<stdin>',cls_sorted_Osimps_I3_J_2) ).
fof(c_0_213,axiom,
! [X38,X39,X35,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X39,X4),c_DefAss_O_092_060A_062(X38,X4),X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I4_J_0) ).
fof(c_0_214,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(X37,X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X62,X63) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
file('<stdin>',cls_map__add__Some__iff_3) ).
fof(c_0_215,axiom,
! [X40,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X40)
| ~ c_Fun_Oinj__on(X19,X20,X4,X21)
| X27 = X40
| ~ c_in(X40,X20,X4)
| ~ c_in(X27,X20,X4) ),
file('<stdin>',cls_inj__onD_0) ).
fof(c_0_216,axiom,
! [X57,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X57)
| ~ c_in(X57,X20,X4)
| ~ c_in(X27,X20,X4)
| ~ c_Fun_Oinj__on(X19,X20,X4,X21)
| X27 = X57 ),
file('<stdin>',cls_inj__on__def_0) ).
fof(c_0_217,axiom,
! [X40,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X40)
| ~ c_in(X40,X20,X4)
| ~ c_in(X27,X20,X4)
| ~ c_Fun_Oinj__on(X19,X20,X4,X21)
| X27 = X40 ),
file('<stdin>',cls_inj__on__iff_0) ).
fof(c_0_218,axiom,
! [X40,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X40)
| ~ c_in(X40,X20,X4)
| ~ c_in(X27,X20,X4)
| X27 = X40
| ~ c_Fun_Oinj__on(X19,X20,X4,X21) ),
file('<stdin>',cls_inj__on__contraD_0) ).
fof(c_0_219,axiom,
! [X71,X14,X4] : c_in(c_Pair(X14,X14,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4)),
file('<stdin>',cls_rtrancl_Ortrancl__refl_0) ).
fof(c_0_220,axiom,
! [X27,X74,X4] : c_in(c_Pair(X27,X27,X4,X4),c_Transitive__Closure_Ortrancl(X74,X4),tc_prod(X4,X4)),
file('<stdin>',cls_rtrancl__eq__or__trancl_1) ).
fof(c_0_221,axiom,
! [X27,X25,X20,X21,X4] :
( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X21,tc_fun(X4,tc_bool))
| hAPP(X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X27,X20,X21) ),
file('<stdin>',cls_UNION__empty__conv_I1_J_0) ).
fof(c_0_222,axiom,
! [X27,X25,X20,X21,X4] :
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X21,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| hAPP(X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X27,X20,X21) ),
file('<stdin>',cls_UNION__empty__conv_I2_J_0) ).
fof(c_0_223,axiom,
! [X27,X20,X4] :
( X20 = c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)
| X20 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subset__singletonD_0) ).
fof(c_0_224,axiom,
! [X31,X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X27,X40,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X31,X4),X4),X4) ),
file('<stdin>',cls_sorted_Osimps_I3_J_0) ).
fof(c_0_225,axiom,
! [X38,X39,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X39,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I11_J_2) ).
fof(c_0_226,axiom,
! [X42,X67,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X42,X67,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X67,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I13_J_2) ).
fof(c_0_227,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(X62,X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
file('<stdin>',cls_map__add__Some__iff_2) ).
fof(c_0_228,axiom,
! [X90,X62,X37,X63,X21,X4] :
( hAPP(X62,X63) != hAPP(c_Option_Ooption_OSome(X4),X90)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = hAPP(c_Option_Ooption_OSome(X4),X90) ),
file('<stdin>',cls_map__add__find__right_0) ).
fof(c_0_229,axiom,
! [X40,X28,X27,X4] :
( c_in(X40,hAPP(c_List_Oset(X4),X28),X4)
| X40 = X27
| ~ c_in(X40,hAPP(c_List_Oset(X4),c_List_Olist_OCons(X27,X28,X4)),X4) ),
file('<stdin>',cls_set__ConsD_0) ).
fof(c_0_230,axiom,
! [X28,X27,X49,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_OtakeWhile(X49,X28,X4)),X4) ),
file('<stdin>',cls_set__takeWhileD_0) ).
fof(c_0_231,axiom,
! [X62,X37,X63,X21,X4] :
( hAPP(X37,X63) != c_Option_Ooption_ONone(X4)
| hAPP(X62,X63) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = c_Option_Ooption_ONone(X4) ),
file('<stdin>',cls_map__add__None_2) ).
fof(c_0_232,axiom,
! [X32,X40,X28,X27,X4] :
( c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X32,c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4)
| X28 = X32 ),
file('<stdin>',cls_append1__eq__conv_0) ).
fof(c_0_233,axiom,
! [X32,X40,X28,X27,X4] :
( c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X32,c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4)
| X27 = X40 ),
file('<stdin>',cls_append1__eq__conv_1) ).
fof(c_0_234,axiom,
! [X32,X28,X57,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X27,X57,X4)
| ~ c_in(X57,hAPP(c_List_Oset(X4),X32),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X28,X32,X4),X4) ),
file('<stdin>',cls_sorted__append_2) ).
fof(c_0_235,axiom,
! [X32,X27,X4] : ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X27,X32,X4),tc_List_Olist(X4)),c_Nat_Osize__class_Osize(X32,tc_List_Olist(X4)),tc_nat),
file('<stdin>',cls_impossible__Cons_0) ).
fof(c_0_236,axiom,
! [X57,X27,X4] : c_Set_Oinsert(X57,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) = c_Set_Oinsert(X27,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),
file('<stdin>',cls_doubleton__eq__iff_4) ).
fof(c_0_237,axiom,
! [X42,X43,X44,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAcc(X42,X43,X44,X4),X4) = c_DefAss_O_092_060A_062(X42,X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I7_J_0) ).
fof(c_0_238,axiom,
! [X28,X27,X49,X4] :
( hBOOL(hAPP(X49,X27))
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_OtakeWhile(X49,X28,X4)),X4) ),
file('<stdin>',cls_set__takeWhileD_1) ).
fof(c_0_239,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I187_J_0) ).
fof(c_0_240,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I161_J_0) ).
fof(c_0_241,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I191_J_0) ).
fof(c_0_242,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I165_J_0) ).
fof(c_0_243,axiom,
! [X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I147_J_0) ).
fof(c_0_244,axiom,
! [X33,X1,X10,X12,X14,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I143_J_0) ).
fof(c_0_245,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I57_J_0) ).
fof(c_0_246,axiom,
! [X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
file('<stdin>',cls_exp_Osimps_I96_J_0) ).
fof(c_0_247,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
file('<stdin>',cls_exp_Osimps_I197_J_0) ).
fof(c_0_248,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I164_J_0) ).
fof(c_0_249,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I53_J_0) ).
fof(c_0_250,axiom,
! [X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I146_J_0) ).
fof(c_0_251,axiom,
! [X15,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I62_J_0) ).
fof(c_0_252,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I107_J_0) ).
fof(c_0_253,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I106_J_0) ).
fof(c_0_254,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I141_J_0) ).
fof(c_0_255,axiom,
! [X33,X15,X1,X10,X12,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I58_J_0) ).
fof(c_0_256,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
file('<stdin>',cls_exp_Osimps_I201_J_0) ).
fof(c_0_257,axiom,
! [X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
file('<stdin>',cls_exp_Osimps_I207_J_0) ).
fof(c_0_258,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I190_J_0) ).
fof(c_0_259,axiom,
! [X33,X15,X1,X10,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I59_J_0) ).
fof(c_0_260,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I52_J_0) ).
fof(c_0_261,axiom,
! [X22,X8,X2,X9,X3,X4] : c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I214_J_0) ).
fof(c_0_262,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I56_J_0) ).
fof(c_0_263,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I136_J_0) ).
fof(c_0_264,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I140_J_0) ).
fof(c_0_265,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I196_J_0) ).
fof(c_0_266,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I160_J_0) ).
fof(c_0_267,axiom,
! [X33,X1,X10,X12,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I142_J_0) ).
fof(c_0_268,axiom,
! [X15,X8,X9,X10,X30,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4),
file('<stdin>',cls_exp_Osimps_I46_J_0) ).
fof(c_0_269,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I111_J_0) ).
fof(c_0_270,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I110_J_0) ).
fof(c_0_271,axiom,
! [X15,X8,X9,X10,X30,X4] : c_Expr_Oexp_OBinOp(X9,X30,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I47_J_0) ).
fof(c_0_272,axiom,
! [X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I97_J_0) ).
fof(c_0_273,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I186_J_0) ).
fof(c_0_274,axiom,
! [X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I206_J_0) ).
fof(c_0_275,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I137_J_0) ).
fof(c_0_276,axiom,
! [X22,X8,X2,X9,X3,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OCond(X3,X2,X22,X4),
file('<stdin>',cls_exp_Osimps_I215_J_0) ).
fof(c_0_277,axiom,
! [X15,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I63_J_0) ).
fof(c_0_278,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I200_J_0) ).
fof(c_0_279,axiom,
! [X42,X67,X20,X4] :
( c_DefAss_O_092_060D_062(X67,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X42,X67,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I13_J_1) ).
fof(c_0_280,axiom,
! [X38,X39,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X39,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I11_J_1) ).
fof(c_0_281,axiom,
! [X32,X40,X4] : c_List_Orev(c_List_Oappend(c_List_Orev(X32,X4),c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4),X4) = c_List_Olist_OCons(X40,X32,X4),
file('<stdin>',cls_rev__eq__Cons__iff_1) ).
fof(c_0_282,axiom,
! [X28,X27,X70,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Oappend(X28,c_List_Olist_OCons(X27,X70,X4),X4),X4) = c_List_OtakeWhile(X49,X28,X4)
| hBOOL(hAPP(X49,X27)) ),
file('<stdin>',cls_takeWhile__tail_0) ).
fof(c_0_283,axiom,
! [X27,X25,X20,X4] :
( c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool))
| c_in(X27,X20,X4) ),
file('<stdin>',cls_subset__insert_0) ).
fof(c_0_284,axiom,
! [X27,X25,X20,X4] :
( c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| c_in(X27,X20,X4)
| ~ c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subset__insert__iff_1) ).
fof(c_0_285,axiom,
! [X16,X14,X4] :
( X16 = X14
| ~ c_in(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
file('<stdin>',cls_singletonE_0) ).
fof(c_0_286,axiom,
! [X40,X27,X20,X4] :
( hBOOL(hAPP(X20,X27))
| X40 = X27
| ~ hBOOL(hAPP(c_Set_Oinsert(X40,X20,X4),X27)) ),
file('<stdin>',cls_insert__code_0) ).
fof(c_0_287,axiom,
! [X14,X44,X58,X4] :
( c_lessequals(c_Set_Oinsert(X14,X58,X4),c_Set_Oinsert(X14,X44,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X58,X44,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_insert__mono_0) ).
fof(c_0_288,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I31_J_0) ).
fof(c_0_289,axiom,
! [X29,X33,X1,X12,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I82_J_0) ).
fof(c_0_290,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I80_J_0) ).
fof(c_0_291,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I76_J_0) ).
fof(c_0_292,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I166_J_0) ).
fof(c_0_293,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I27_J_0) ).
fof(c_0_294,axiom,
! [X33,X15,X1,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I33_J_0) ).
fof(c_0_295,axiom,
! [X29,X8,X9,X30,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4),
file('<stdin>',cls_exp_Osimps_I70_J_0) ).
fof(c_0_296,axiom,
! [X1,X2,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I112_J_0) ).
fof(c_0_297,axiom,
! [X13,X1,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I202_J_0) ).
fof(c_0_298,axiom,
! [X1,X2,X3,X35,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
file('<stdin>',cls_exp_Osimps_I113_J_0) ).
fof(c_0_299,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I81_J_0) ).
fof(c_0_300,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I26_J_0) ).
fof(c_0_301,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
file('<stdin>',cls_exp_Osimps_I30_J_0) ).
fof(c_0_302,axiom,
! [X15,X7,X8,X9,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I37_J_0) ).
fof(c_0_303,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I167_J_0) ).
fof(c_0_304,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
file('<stdin>',cls_exp_Osimps_I193_J_0) ).
fof(c_0_305,axiom,
! [X15,X8,X9,X30,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4),
file('<stdin>',cls_exp_Osimps_I20_J_0) ).
fof(c_0_306,axiom,
! [X13,X1,X10,X14,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
file('<stdin>',cls_exp_Osimps_I203_J_0) ).
fof(c_0_307,axiom,
! [X15,X8,X9,X30,X4] : c_Expr_Oexp_OBinOp(X9,X30,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I21_J_0) ).
fof(c_0_308,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I77_J_0) ).
fof(c_0_309,axiom,
! [X29,X33,X1,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I83_J_0) ).
fof(c_0_310,axiom,
! [X29,X7,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I86_J_0) ).
fof(c_0_311,axiom,
! [X33,X15,X1,X12,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
file('<stdin>',cls_exp_Osimps_I32_J_0) ).
fof(c_0_312,axiom,
! [X29,X7,X8,X9,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I87_J_0) ).
fof(c_0_313,axiom,
! [X1,X22,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OCond(X3,X2,X22,X4),
file('<stdin>',cls_exp_Osimps_I217_J_0) ).
fof(c_0_314,axiom,
! [X1,X22,X2,X3,X4] : c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I216_J_0) ).
fof(c_0_315,axiom,
! [X15,X7,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
file('<stdin>',cls_exp_Osimps_I36_J_0) ).
fof(c_0_316,axiom,
! [X29,X8,X9,X30,X4] : c_Expr_Oexp_OBinOp(X9,X30,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I71_J_0) ).
fof(c_0_317,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I192_J_0) ).
fof(c_0_318,axiom,
! [X68,X19,X21,X4] :
( c_Option_Omap(X19,X68,X21,X4) != c_Option_Ooption_ONone(X4)
| X68 = c_Option_Ooption_ONone(X21) ),
file('<stdin>',cls_option__map__is__None_0) ).
fof(c_0_319,axiom,
! [X28,X57,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X27,X57,X4)
| ~ c_in(X57,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,X28,X4),X4) ),
file('<stdin>',cls_sorted__Cons_1) ).
fof(c_0_320,axiom,
! [X27,X25,X20,X4] :
( c_lessequals(c_Set_Oinsert(X27,X20,X4),X25,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_in(X27,X25,X4) ),
file('<stdin>',cls_insert__subset_2) ).
fof(c_0_321,axiom,
! [X32,X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Oappend(X28,X32,X4),X4) = c_List_OtakeWhile(X49,X28,X4)
| hBOOL(hAPP(X49,X27))
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
file('<stdin>',cls_takeWhile__append1_0) ).
fof(c_0_322,axiom,
! [X28,X4] : hAPP(c_List_Oset(X4),c_List_Oconcat(X28,X4)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_List_Oset(tc_List_Olist(X4)),X28),c_List_Oset(X4),tc_List_Olist(X4),tc_fun(X4,tc_bool)),
file('<stdin>',cls_set__concat_0) ).
fof(c_0_323,axiom,
! [X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_OCons(X27,c_List_OtakeWhile(X49,X28,X4),X4)
| ~ hBOOL(hAPP(X49,X27)) ),
file('<stdin>',cls_takeWhile_Osimps_I2_J_0) ).
fof(c_0_324,axiom,
! [X27,X25,X20,X4] :
( c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X27,X20,X4),X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_insert__subset_1) ).
fof(c_0_325,axiom,
! [X28,X27,X4] : c_lessequals(hAPP(c_List_Oset(X4),X28),hAPP(c_List_Oset(X4),c_List_Olist_OCons(X27,X28,X4)),tc_fun(X4,tc_bool)),
file('<stdin>',cls_set__subset__Cons_0) ).
fof(c_0_326,axiom,
! [X27,X25,X20,X4] :
( c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| c_in(X27,X20,X4) ),
file('<stdin>',cls_subset__insert_1) ).
fof(c_0_327,axiom,
! [X27,X25,X20,X4] :
( c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| c_in(X27,X20,X4) ),
file('<stdin>',cls_subset__insert__iff_2) ).
fof(c_0_328,axiom,
! [X28,X27,X4] : c_List_Obutlast(c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),X4) = X28,
file('<stdin>',cls_butlast__snoc_0) ).
fof(c_0_329,axiom,
! [X28,X27,X4] : c_List_Olast(c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),X4) = X27,
file('<stdin>',cls_last__snoc_0) ).
fof(c_0_330,axiom,
! [X25,X98,X20,X4] :
( c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X20,X25,X4),c_DefAss_OhyperUn(X98,X25,X4),X4)
| ~ c_DefAss_Ohyper__subset(X20,X98,X4) ),
file('<stdin>',cls_sqUn__lem_0) ).
fof(c_0_331,axiom,
! [X27,X25,X20,X4] :
( c_in(X27,X25,X4)
| ~ c_lessequals(c_Set_Oinsert(X27,X20,X4),X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_insert__subset_0) ).
fof(c_0_332,axiom,
! [X28,X49,X4] : c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X49,X28,X4),tc_List_Olist(X4)),c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)),tc_nat),
file('<stdin>',cls_length__takeWhile__le_0) ).
fof(c_0_333,axiom,
! [X28,X27,X4] :
( ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Odistinct(c_List_Olist_OCons(X27,X28,X4),X4) ),
file('<stdin>',cls_distinct_Osimps_I2_J_0) ).
fof(c_0_334,axiom,
! [X16,X14,X4] :
( c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) != c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)
| X14 = X16 ),
file('<stdin>',cls_singleton__inject_0) ).
fof(c_0_335,axiom,
! [X27,X19,X21,X4] : c_Option_Omap(X19,hAPP(c_Option_Ooption_OSome(X21),X27),X21,X4) = hAPP(c_Option_Ooption_OSome(X4),hAPP(X19,X27)),
file('<stdin>',cls_option__map__Some_0) ).
fof(c_0_336,axiom,
! [X58,X25,X20,X4] : c_DefAss_OhyperUn(c_DefAss_OhyperUn(X20,X25,X4),X58,X4) = c_DefAss_OhyperUn(X20,c_DefAss_OhyperUn(X25,X58,X4),X4),
file('<stdin>',cls_hyperUn__assoc_0) ).
fof(c_0_337,axiom,
! [X28,X27,X88,X4] : c_List_Oappend(X28,c_List_Oappend(X27,X88,X4),X4) = c_List_Oappend(c_List_Oappend(X28,X27,X4),X88,X4),
file('<stdin>',cls_append__eq__append__conv2_5) ).
fof(c_0_338,axiom,
! [X31,X32,X27,X4] : c_List_Oappend(c_List_Oappend(X31,X27,X4),X32,X4) = c_List_Oappend(X31,c_List_Oappend(X27,X32,X4),X4),
file('<stdin>',cls_append__eq__append__conv2_4) ).
fof(c_0_339,axiom,
! [X82,X28,X87,X4] : c_List_Oappend(X28,c_List_Oappend(X82,X87,X4),X4) = c_List_Oappend(c_List_Oappend(X28,X82,X4),X87,X4),
file('<stdin>',cls_append__eq__appendI_0) ).
fof(c_0_340,axiom,
! [X31,X32,X28,X4] : c_List_Oappend(c_List_Oappend(X28,X32,X4),X31,X4) = c_List_Oappend(X28,c_List_Oappend(X32,X31,X4),X4),
file('<stdin>',cls_append__assoc_0) ).
fof(c_0_341,axiom,
! [X31,X82,X27,X4] : c_List_Olist_OCons(X27,c_List_Oappend(X82,X31,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X27,X82,X4),X31,X4),
file('<stdin>',cls_Cons__eq__appendI_0) ).
fof(c_0_342,axiom,
! [X31,X57,X27,X4] : c_List_Olist_OCons(X27,c_List_Oappend(X57,X31,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X27,X57,X4),X31,X4),
file('<stdin>',cls_Cons__eq__append__conv_5) ).
fof(c_0_343,axiom,
! [X32,X28,X27,X4] : c_List_Oappend(c_List_Olist_OCons(X27,X28,X4),X32,X4) = c_List_Olist_OCons(X27,c_List_Oappend(X28,X32,X4),X4),
file('<stdin>',cls_append__Cons_0) ).
fof(c_0_344,axiom,
! [X31,X57,X27,X4] : c_List_Oappend(c_List_Olist_OCons(X27,X57,X4),X31,X4) = c_List_Olist_OCons(X27,c_List_Oappend(X57,X31,X4),X4),
file('<stdin>',cls_append__eq__Cons__conv_5) ).
fof(c_0_345,axiom,
! [X40,X27,X20,X4] : c_Set_Oinsert(X27,c_Set_Oinsert(X40,X20,X4),X4) = c_Set_Oinsert(X40,c_Set_Oinsert(X27,X20,X4),X4),
file('<stdin>',cls_insert__commute_0) ).
fof(c_0_346,axiom,
! [X58,X25,X20,X4] :
( c_lessequals(X20,X58,tc_fun(X4,tc_bool))
| ~ c_lessequals(X25,X58,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subset__trans_0) ).
fof(c_0_347,axiom,
! [X28,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(X28,X4)),X4) ),
file('<stdin>',cls_in__set__butlastD_0) ).
fof(c_0_348,axiom,
! [X28,X27,X4] : c_List_Orev(c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Oappend(c_List_Orev(X28,X4),c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),
file('<stdin>',cls_rev_Osimps_I2_J_0) ).
fof(c_0_349,axiom,
! [X16,X14,X20,X4] :
( c_in(X14,X20,X4)
| X14 = X16
| ~ c_in(X14,c_Set_Oinsert(X16,X20,X4),X4) ),
file('<stdin>',cls_insertE_0) ).
fof(c_0_350,axiom,
! [X42,X67,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X42,X67,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I13_J_0) ).
fof(c_0_351,axiom,
! [X42,X61,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X61,X42,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I6_J_0) ).
fof(c_0_352,axiom,
! [X42,X58,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X58,X42,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I2_J_0) ).
fof(c_0_353,axiom,
! [X38,X39,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X39,X38,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I11_J_0) ).
fof(c_0_354,axiom,
! [X32,X40,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_OCons(X40,X32,X4)
| X28 = c_List_Oappend(c_List_Orev(X32,X4),c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4) ),
file('<stdin>',cls_rev__eq__Cons__iff_0) ).
fof(c_0_355,axiom,
! [X16,X25,X20,X4] :
( c_lessequals(X20,c_Set_Oinsert(X16,X25,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subset__insertI2_0) ).
fof(c_0_356,axiom,
! [X19,X21,X4] : c_Fun_Oinj__on(X19,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X21),
file('<stdin>',cls_inj__on__empty_0) ).
fof(c_0_357,axiom,
! [X40,X27,X20,X4] :
( hBOOL(hAPP(c_Set_Oinsert(X40,X20,X4),X27))
| ~ hBOOL(hAPP(X20,X27)) ),
file('<stdin>',cls_insert__code_2) ).
fof(c_0_358,axiom,
! [X27,X25,X20,X4] :
( c_Set_Oinsert(X27,X20,X4) != c_Set_Oinsert(X27,X25,X4)
| c_in(X27,X25,X4)
| c_in(X27,X20,X4)
| X20 = X25 ),
file('<stdin>',cls_insert__ident_0) ).
fof(c_0_359,axiom,
! [X27,X4] : c_in(X27,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),
file('<stdin>',cls_singleton__iff_1) ).
fof(c_0_360,axiom,
! [X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,X28,X4) != X28
| hBOOL(hAPP(X49,X27))
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
file('<stdin>',cls_takeWhile__eq__all__conv_0) ).
fof(c_0_361,axiom,
! [X84,X25,X20,X4] :
( c_in(X84,X25,X4)
| ~ c_in(X84,X20,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subset__iff_0) ).
fof(c_0_362,axiom,
! [X27,X25,X20,X4] :
( c_in(X27,X25,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_in(X27,X20,X4) ),
file('<stdin>',cls_set__rev__mp_0) ).
fof(c_0_363,axiom,
! [X67,X25,X20,X4] :
( c_in(X67,X25,X4)
| ~ c_in(X67,X20,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subsetD_0) ).
fof(c_0_364,axiom,
! [X27,X25,X20,X4] :
( c_in(X27,X25,X4)
| ~ c_in(X27,X20,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_set__mp_0) ).
fof(c_0_365,axiom,
! [X20,X4] : c_Fun_Oinj__on(c_Option_Ooption_OSome(X4),X20,X4,tc_Option_Ooption(X4)),
file('<stdin>',cls_inj__Some_0) ).
fof(c_0_366,axiom,
! [X19,X21,X4] : c_Option_Omap(X19,c_Option_Ooption_ONone(X21),X21,X4) = c_Option_Ooption_ONone(X4),
file('<stdin>',cls_option__map__None_0) ).
fof(c_0_367,axiom,
! [X28,X4] :
( c_List_Oappend(c_List_Obutlast(X28,X4),c_List_Olist_OCons(c_List_Olast(X28,X4),c_List_Olist_ONil(X4),X4),X4) = X28
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_append__butlast__last__id_0) ).
fof(c_0_368,axiom,
! [X42,X61,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X61,X42,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I6_J_1) ).
fof(c_0_369,axiom,
! [X42,X58,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X58,X42,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I2_J_1) ).
fof(c_0_370,axiom,
! [X16,X14,X20,X4] :
( c_in(X14,c_Set_Oinsert(X16,X20,X4),X4)
| ~ c_in(X14,X20,X4) ),
file('<stdin>',cls_insert__iff_2) ).
fof(c_0_371,axiom,
! [X16,X14,X25,X4] :
( c_in(X14,c_Set_Oinsert(X16,X25,X4),X4)
| ~ c_in(X14,X25,X4) ),
file('<stdin>',cls_insertCI_0) ).
fof(c_0_372,axiom,
! [X25,X20,X4] :
( X20 = X25
| ~ c_lessequals(X25,X20,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_set__eq__subset_2) ).
fof(c_0_373,axiom,
! [X25,X20,X4] :
( X20 = X25
| ~ c_lessequals(X25,X20,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_equalityI_0) ).
fof(c_0_374,axiom,
! [X27,X20,X4] : hBOOL(hAPP(c_Set_Oinsert(X27,X20,X4),X27)),
file('<stdin>',cls_insert__code_1) ).
fof(c_0_375,axiom,
! [X27,X34,X19,X21,X4] :
( ~ class_HOL_Oord(X21)
| c_lessequals(hAPP(X19,X27),hAPP(X34,X27),X21)
| ~ c_lessequals(X19,X34,tc_fun(X4,X21)) ),
file('<stdin>',cls_le__funD_0) ).
fof(c_0_376,axiom,
! [X28,X27,X4] :
( c_List_Odistinct(c_List_Olist_OCons(X27,X28,X4),X4)
| ~ c_List_Odistinct(X28,X4)
| c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
file('<stdin>',cls_distinct_Osimps_I2_J_2) ).
fof(c_0_377,axiom,
! [X69,X40,X27,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X27,X69,X4)
| ~ c_lessequals(X40,X69,X4)
| ~ c_lessequals(X27,X40,X4) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_378,axiom,
! [X69,X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X69,X27,X4)
| ~ c_lessequals(X69,X40,X4)
| ~ c_lessequals(X40,X27,X4) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_379,axiom,
! [X71,X72,X4] :
( c_in(X72,c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(X72,X71,tc_prod(X4,X4)) ),
file('<stdin>',cls_r__into__rtrancl_0) ).
fof(c_0_380,axiom,
! [X20,X4] :
( X20 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_subset__empty_0) ).
fof(c_0_381,axiom,
! [X99,X27,X4] :
( c_List_Olist_ONil(X4) != c_List_Oconcat(X99,X4)
| X27 = c_List_Olist_ONil(X4)
| ~ c_in(X27,hAPP(c_List_Oset(tc_List_Olist(X4)),X99),tc_List_Olist(X4)) ),
file('<stdin>',cls_Nil__eq__concat__conv_0) ).
fof(c_0_382,axiom,
! [X99,X27,X4] :
( c_List_Oconcat(X99,X4) != c_List_Olist_ONil(X4)
| X27 = c_List_Olist_ONil(X4)
| ~ c_in(X27,hAPP(c_List_Oset(tc_List_Olist(X4)),X99),tc_List_Olist(X4)) ),
file('<stdin>',cls_concat__eq__Nil__conv_0) ).
fof(c_0_383,axiom,
! [X42,X98,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X98,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_Ohyper__subset(X20,X98,X4) ),
file('<stdin>',cls_D__mono_0) ).
fof(c_0_384,axiom,
! [X42,X98,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X98,X4)
| ~ c_DefAss_Ohyper__subset(X20,X98,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls_D__mono_H_0) ).
fof(c_0_385,axiom,
! [X32,X28,X4] : c_List_Orev(c_List_Oappend(X28,X32,X4),X4) = c_List_Oappend(c_List_Orev(X32,X4),c_List_Orev(X28,X4),X4),
file('<stdin>',cls_rev__append_0) ).
fof(c_0_386,axiom,
! [X38,X39,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OSeq(X39,X38,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X39,X4),c_DefAss_O_092_060A_062(X38,X4),X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I11_J_0) ).
fof(c_0_387,axiom,
! [X28,X27,X4] : c_List_Olist_OCons(X27,X28,X4) = c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_OCons(X27,X28,X4),X4),
file('<stdin>',cls_Cons__eq__append__conv_4) ).
fof(c_0_388,axiom,
! [X28,X27,X4] : c_List_Osplice(c_List_Olist_OCons(X27,X28,X4),c_List_Olist_ONil(X4),X4) = c_List_Olist_OCons(X27,X28,X4),
file('<stdin>',cls_splice_Osimps_I2_J_0) ).
fof(c_0_389,axiom,
! [X28,X27,X4] : c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_OCons(X27,X28,X4),
file('<stdin>',cls_append__eq__Cons__conv_4) ).
fof(c_0_390,axiom,
! [X63,X85,X23] :
( c_lessequals(X23,X63,tc_nat)
| ~ c_lessequals(X85,X63,tc_nat)
| ~ c_lessequals(X23,X85,tc_nat) ),
file('<stdin>',cls_le__trans_0) ).
fof(c_0_391,axiom,
! [X28,X27,X4] : hAPP(c_List_Oset(X4),c_List_Olist_OCons(X27,X28,X4)) = c_Set_Oinsert(X27,hAPP(c_List_Oset(X4),X28),X4),
file('<stdin>',cls_List_Oset_Osimps_I2_J_0) ).
fof(c_0_392,axiom,
! [X27,X20,X4] : c_Set_Oinsert(X27,c_Set_Oinsert(X27,X20,X4),X4) = c_Set_Oinsert(X27,X20,X4),
file('<stdin>',cls_insert__absorb2_0) ).
fof(c_0_393,axiom,
! [X27,X49,X4] :
( ~ hBOOL(hAPP(X49,X27))
| ~ c_in(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
file('<stdin>',cls_bex__empty_0) ).
fof(c_0_394,axiom,
! [X28,X27,X4] : c_List_Oconcat(c_List_Olist_OCons(X27,X28,tc_List_Olist(X4)),X4) = c_List_Oappend(X27,c_List_Oconcat(X28,X4),X4),
file('<stdin>',cls_concat_Osimps_I2_J_0) ).
fof(c_0_395,axiom,
! [X32,X28,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(X28,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X28,X32,X4),X4) ),
file('<stdin>',cls_sorted__append_0) ).
fof(c_0_396,axiom,
! [X32,X28,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(X32,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X28,X32,X4),X4) ),
file('<stdin>',cls_sorted__append_1) ).
fof(c_0_397,axiom,
! [X28,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(X28,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,X28,X4),X4) ),
file('<stdin>',cls_sorted__Cons_0) ).
fof(c_0_398,axiom,
! [X27,X4] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X27)),
file('<stdin>',cls_bot1E_0) ).
fof(c_0_399,axiom,
! [X28,X27,X4] :
( c_List_Obutlast(c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_OCons(X27,c_List_Obutlast(X28,X4),X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_butlast_Osimps_I2_J_1) ).
fof(c_0_400,axiom,
! [X32,X28,X4] :
( c_List_Obutlast(c_List_Oappend(X28,X32,X4),X4) = c_List_Oappend(X28,c_List_Obutlast(X32,X4),X4)
| X32 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_butlast__append_1) ).
fof(c_0_401,axiom,
! [X28,X27,X4] :
( c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Olist_OCons(X27,X28,X4),X4) ),
file('<stdin>',cls_distinct_Osimps_I2_J_1) ).
fof(c_0_402,axiom,
! [X32,X28,X4] :
( c_List_Odistinct(X32,X4)
| ~ c_List_Odistinct(c_List_Oappend(X28,X32,X4),X4) ),
file('<stdin>',cls_distinct__append_1) ).
fof(c_0_403,axiom,
! [X32,X28,X4] :
( c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Oappend(X28,X32,X4),X4) ),
file('<stdin>',cls_distinct__append_0) ).
fof(c_0_404,axiom,
! [X27,X86,X49,X4] :
( hBOOL(hAPP(X86,X27))
| ~ c_lessequals(X49,X86,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X49,X27)) ),
file('<stdin>',cls_rev__predicate1D_0) ).
fof(c_0_405,axiom,
! [X27,X86,X49,X4] :
( hBOOL(hAPP(X86,X27))
| ~ hBOOL(hAPP(X49,X27))
| ~ c_lessequals(X49,X86,tc_fun(X4,tc_bool)) ),
file('<stdin>',cls_predicate1D_0) ).
fof(c_0_406,axiom,
! [X27,X49,X4] :
( hBOOL(hAPP(X49,X27))
| ~ c_in(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
file('<stdin>',cls_ball__empty_0) ).
fof(c_0_407,axiom,
! [X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X49,X27)) ),
file('<stdin>',cls_takeWhile_Osimps_I2_J_1) ).
fof(c_0_408,axiom,
! [X27,X4] : c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) = c_List_Orev(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),
file('<stdin>',cls_singleton__rev__conv_1) ).
fof(c_0_409,axiom,
! [X27,X4] : c_List_Orev(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),
file('<stdin>',cls_rev__singleton__conv_1) ).
fof(c_0_410,axiom,
! [X14,X25,X4] : c_lessequals(X25,c_Set_Oinsert(X14,X25,X4),tc_fun(X4,tc_bool)),
file('<stdin>',cls_subset__insertI_0) ).
fof(c_0_411,axiom,
! [X57,X27,X4] :
( c_Set_Oinsert(X27,X57,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_in(X27,X57,X4) ),
file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).
fof(c_0_412,axiom,
! [X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| X27 = X40
| ~ c_lessequals(X27,X40,X4)
| ~ c_lessequals(X40,X27,X4) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_413,axiom,
! [X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| X27 = X40
| ~ c_lessequals(X40,X27,X4)
| ~ c_lessequals(X27,X40,X4) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_414,axiom,
! [X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| X27 = X40
| ~ c_lessequals(X40,X27,X4)
| ~ c_lessequals(X27,X40,X4) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_415,axiom,
! [X42,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X42,X4),X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I14_J_0) ).
fof(c_0_416,axiom,
! [X4] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('<stdin>',cls_subset__empty_1) ).
fof(c_0_417,axiom,
! [X28,X27,X4] :
( c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) != c_List_Orev(X28,X4)
| X28 = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) ),
file('<stdin>',cls_singleton__rev__conv_0) ).
fof(c_0_418,axiom,
! [X28,X27,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4)
| X28 = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) ),
file('<stdin>',cls_rev__singleton__conv_0) ).
fof(c_0_419,axiom,
! [X62,X37] :
( ~ c_lessequals(X37,X62,tc_nat)
| ~ c_lessequals(c_Suc(X62),X37,tc_nat) ),
file('<stdin>',cls_not__less__eq__eq_1) ).
fof(c_0_420,axiom,
! [X11,X15,X12,X14,X4] :
( c_List_Olist_OCons(X14,X15,X4) != c_List_Olist_OCons(X12,X11,X4)
| X14 = X12 ),
file('<stdin>',cls_list_Oinject_0) ).
fof(c_0_421,axiom,
! [X11,X15,X12,X14,X4] :
( c_List_Olist_OCons(X14,X15,X4) != c_List_Olist_OCons(X12,X11,X4)
| X15 = X11 ),
file('<stdin>',cls_list_Oinject_1) ).
fof(c_0_422,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4)
| X2 = X8 ),
file('<stdin>',cls_exp_Osimps_I11_J_1) ).
fof(c_0_423,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4)
| X3 = X9 ),
file('<stdin>',cls_exp_Osimps_I11_J_0) ).
fof(c_0_424,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4)
| X2 = X8 ),
file('<stdin>',cls_exp_Osimps_I13_J_1) ).
fof(c_0_425,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4)
| X3 = X9 ),
file('<stdin>',cls_exp_Osimps_I13_J_0) ).
fof(c_0_426,axiom,
! [X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OLAss(X12,X1,X4)
| X14 = X12 ),
file('<stdin>',cls_exp_Osimps_I6_J_0) ).
fof(c_0_427,axiom,
! [X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OLAss(X12,X1,X4)
| X10 = X1 ),
file('<stdin>',cls_exp_Osimps_I6_J_1) ).
fof(c_0_428,axiom,
! [X11,X15,X1,X10,X4] :
( c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCast(X11,X1,X4)
| X10 = X1 ),
file('<stdin>',cls_exp_Osimps_I2_J_1) ).
fof(c_0_429,axiom,
! [X11,X15,X1,X10,X4] :
( c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCast(X11,X1,X4)
| X15 = X11 ),
file('<stdin>',cls_exp_Osimps_I2_J_0) ).
fof(c_0_430,axiom,
! [X31,X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != c_List_Oappend(X28,X31,X4)
| X32 = X31 ),
file('<stdin>',cls_same__append__eq_0) ).
fof(c_0_431,axiom,
! [X31,X32,X28,X4] :
( c_List_Oappend(X32,X28,X4) != c_List_Oappend(X31,X28,X4)
| X32 = X31 ),
file('<stdin>',cls_append__same__eq_0) ).
fof(c_0_432,axiom,
! [X15,X1,X10,X12,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
file('<stdin>',cls_exp_Osimps_I50_J_0) ).
fof(c_0_433,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I60_J_0) ).
fof(c_0_434,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I65_J_0) ).
fof(c_0_435,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I61_J_0) ).
fof(c_0_436,axiom,
! [X8,X2,X9,X3,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
file('<stdin>',cls_exp_Osimps_I209_J_0) ).
fof(c_0_437,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I145_J_0) ).
fof(c_0_438,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I149_J_0) ).
fof(c_0_439,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I148_J_0) ).
fof(c_0_440,axiom,
! [X8,X2,X9,X3,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I208_J_0) ).
fof(c_0_441,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I144_J_0) ).
fof(c_0_442,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I64_J_0) ).
fof(c_0_443,axiom,
! [X15,X1,X10,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I51_J_0) ).
fof(c_0_444,axiom,
! [X62,X37] :
( X37 = X62
| ~ c_lessequals(X62,X37,tc_nat)
| ~ c_lessequals(X37,X62,tc_nat) ),
file('<stdin>',cls_le__antisym_0) ).
fof(c_0_445,axiom,
! [X57,X27,X4] : c_Nat_Osize__class_Osize(c_List_Olist_OCons(X27,X57,X4),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X57,tc_List_Olist(X4))),
file('<stdin>',cls_length__Suc__conv_2) ).
fof(c_0_446,axiom,
! [X57,X27,X4] : c_Suc(c_Nat_Osize__class_Osize(X57,tc_List_Olist(X4))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X27,X57,X4),tc_List_Olist(X4)),
file('<stdin>',cls_Suc__length__conv_2) ).
fof(c_0_447,axiom,
! [X27,X4] : ~ c_in(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('<stdin>',cls_ex__in__conv_0) ).
fof(c_0_448,axiom,
! [X67,X4] : ~ c_in(X67,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('<stdin>',cls_empty__iff_0) ).
fof(c_0_449,axiom,
! [X14,X4] : ~ c_in(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('<stdin>',cls_emptyE_0) ).
fof(c_0_450,axiom,
! [X42,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X42,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I14_J_1) ).
fof(c_0_451,axiom,
! [X32,X28,X4] :
( ~ class_Orderings_Olinorder(X4)
| hAPP(c_List_Oset(X4),X28) != hAPP(c_List_Oset(X4),X32)
| ~ c_List_Odistinct(X32,X4)
| ~ c_List_Olinorder__class_Osorted(X32,X4)
| ~ c_List_Odistinct(X28,X4)
| ~ c_List_Olinorder__class_Osorted(X28,X4)
| X28 = X32 ),
file('<stdin>',cls_sorted__distinct__set__unique_0) ).
fof(c_0_452,axiom,
! [X27,X25,X4] : c_in(X27,c_Set_Oinsert(X27,X25,X4),X4),
file('<stdin>',cls_insertCI_1) ).
fof(c_0_453,axiom,
! [X14,X25,X4] : c_in(X14,c_Set_Oinsert(X14,X25,X4),X4),
file('<stdin>',cls_insertI1_0) ).
fof(c_0_454,axiom,
! [X27,X20,X4] : c_in(X27,c_Set_Oinsert(X27,X20,X4),X4),
file('<stdin>',cls_insert__iff_1) ).
fof(c_0_455,axiom,
! [X58,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_Onew(X58,X4),X4) = hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I1_J_0) ).
fof(c_0_456,axiom,
! [X26,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OVal(X26,X4),X4) = hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I3_J_0) ).
fof(c_0_457,axiom,
! [X62,X37] :
( c_lessequals(X62,X37,tc_nat)
| ~ c_lessequals(c_Suc(X62),c_Suc(X37),tc_nat) ),
file('<stdin>',cls_Suc__le__mono_0) ).
fof(c_0_458,axiom,
! [X62,X37] :
( X37 = c_Suc(X62)
| c_lessequals(X37,X62,tc_nat)
| ~ c_lessequals(X37,c_Suc(X62),tc_nat) ),
file('<stdin>',cls_le__SucE_0) ).
fof(c_0_459,axiom,
! [X28,X49,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X49,X28,X4),X4)
| ~ c_List_Olinorder__class_Osorted(X28,X4) ),
file('<stdin>',cls_sorted__takeWhile_0) ).
fof(c_0_460,axiom,
! [X62,X37] :
( c_lessequals(c_Suc(X62),c_Suc(X37),tc_nat)
| ~ c_lessequals(X62,X37,tc_nat) ),
file('<stdin>',cls_Suc__le__mono_1) ).
fof(c_0_461,axiom,
! [X28,X4] : c_List_Olast(c_List_Oappend(X28,c_List_Olist_ONil(X4),X4),X4) = c_List_Olast(X28,X4),
file('<stdin>',cls_last__append_0) ).
fof(c_0_462,axiom,
! [X28,X4] : c_List_Obutlast(c_List_Oappend(X28,c_List_Olist_ONil(X4),X4),X4) = c_List_Obutlast(X28,X4),
file('<stdin>',cls_butlast__append_0) ).
fof(c_0_463,axiom,
! [X62,X37] :
( c_lessequals(X37,X62,tc_nat)
| ~ c_lessequals(c_Suc(X37),X62,tc_nat) ),
file('<stdin>',cls_Suc__leD_0) ).
fof(c_0_464,axiom,
! [X28,X49,X4] :
( c_List_Odistinct(c_List_OtakeWhile(X49,X28,X4),X4)
| ~ c_List_Odistinct(X28,X4) ),
file('<stdin>',cls_distinct__takeWhile_0) ).
fof(c_0_465,axiom,
! [X62,X37] :
( c_lessequals(X37,c_Suc(X62),tc_nat)
| ~ c_lessequals(X37,X62,tc_nat) ),
file('<stdin>',cls_le__SucI_0) ).
fof(c_0_466,axiom,
! [X14,X20,X4] :
( c_Set_Oinsert(X14,X20,X4) = X20
| ~ c_in(X14,X20,X4) ),
file('<stdin>',cls_insert__absorb_0) ).
fof(c_0_467,axiom,
! [X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) ),
file('<stdin>',cls_sorted_Osimps_I2_J_0) ).
fof(c_0_468,axiom,
! [X28,X27,X4] :
( c_List_Olast(c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olast(X28,X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_last_Osimps_1) ).
fof(c_0_469,axiom,
! [X32,X28,X4] :
( c_List_Olast(c_List_Oappend(X28,X32,X4),X4) = c_List_Olast(X32,X4)
| X32 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_last__append_1) ).
fof(c_0_470,axiom,
! [X27,X4] : c_List_Obutlast(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) = c_List_Olist_ONil(X4),
file('<stdin>',cls_butlast_Osimps_I2_J_0) ).
fof(c_0_471,axiom,
! [X42,X58,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OCast(X58,X42,X4),X4) = c_DefAss_O_092_060A_062(X42,X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I2_J_0) ).
fof(c_0_472,axiom,
! [X42,X16,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OWhile(X16,X42,X4),X4) = c_DefAss_O_092_060A_062(X16,X4),
file('<stdin>',cls__092_060A_062___092_060A_062s_Osimps_I13_J_0) ).
fof(c_0_473,axiom,
! [X27,X4] : c_List_Olast(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) = X27,
file('<stdin>',cls_last_Osimps_0) ).
fof(c_0_474,axiom,
! [X20,X4] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X20,tc_fun(X4,tc_bool)),
file('<stdin>',cls_empty__subsetI_0) ).
fof(c_0_475,axiom,
! [X14,X20,X4] : c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) != c_Set_Oinsert(X14,X20,X4),
file('<stdin>',cls_empty__not__insert_0) ).
fof(c_0_476,axiom,
! [X14,X20,X4] : c_Set_Oinsert(X14,X20,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
file('<stdin>',cls_insert__not__empty_0) ).
fof(c_0_477,axiom,
! [X60,X4] :
( c_in(c_List_Olast(X60,X4),hAPP(c_List_Oset(X4),X60),X4)
| X60 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_last__in__set_0) ).
fof(c_0_478,axiom,
! [X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X40,X27,X4)
| c_lessequals(X27,X40,X4) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_479,axiom,
! [X27,X54,X4] :
( hBOOL(hAPP(X54,X27))
| ~ c_in(X27,X54,X4) ),
file('<stdin>',cls_mem__def_0) ).
fof(c_0_480,axiom,
! [X62,X37] :
( c_lessequals(c_Suc(X62),X37,tc_nat)
| c_lessequals(X37,X62,tc_nat) ),
file('<stdin>',cls_not__less__eq__eq_0) ).
fof(c_0_481,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I38_J_0) ).
fof(c_0_482,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I84_J_0) ).
fof(c_0_483,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
file('<stdin>',cls_exp_Osimps_I221_J_0) ).
fof(c_0_484,axiom,
! [X45,X15,X10,X4] : c_Expr_Oexp_OVal(X45,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I45_J_0) ).
fof(c_0_485,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I35_J_0) ).
fof(c_0_486,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I34_J_0) ).
fof(c_0_487,axiom,
! [X1,X10,X14,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
file('<stdin>',cls_exp_Osimps_I151_J_0) ).
fof(c_0_488,axiom,
! [X15,X1,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I25_J_0) ).
fof(c_0_489,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I85_J_0) ).
fof(c_0_490,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I89_J_0) ).
fof(c_0_491,axiom,
! [X15,X1,X12,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
file('<stdin>',cls_exp_Osimps_I24_J_0) ).
fof(c_0_492,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I210_J_0) ).
fof(c_0_493,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I39_J_0) ).
fof(c_0_494,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
file('<stdin>',cls_exp_Osimps_I88_J_0) ).
fof(c_0_495,axiom,
! [X45,X15,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OVal(X45,X4),
file('<stdin>',cls_exp_Osimps_I44_J_0) ).
fof(c_0_496,axiom,
! [X15,X1,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I66_J_0) ).
fof(c_0_497,axiom,
! [X11,X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OCast(X11,X1,X4),
file('<stdin>',cls_exp_Osimps_I16_J_0) ).
fof(c_0_498,axiom,
! [X29,X1,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I75_J_0) ).
fof(c_0_499,axiom,
! [X15,X1,X10,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
file('<stdin>',cls_exp_Osimps_I67_J_0) ).
fof(c_0_500,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I220_J_0) ).
fof(c_0_501,axiom,
! [X29,X1,X12,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
file('<stdin>',cls_exp_Osimps_I74_J_0) ).
fof(c_0_502,axiom,
! [X1,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I150_J_0) ).
fof(c_0_503,axiom,
! [X11,X15,X1,X4] : c_Expr_Oexp_OCast(X11,X1,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I17_J_0) ).
fof(c_0_504,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
file('<stdin>',cls_exp_Osimps_I211_J_0) ).
fof(c_0_505,axiom,
! [X62,X37] :
( c_lessequals(X62,X37,tc_nat)
| c_lessequals(X37,X62,tc_nat) ),
file('<stdin>',cls_nat__le__linear_0) ).
fof(c_0_506,axiom,
! [X27,X54,X4] :
( c_in(X27,X54,X4)
| ~ hBOOL(hAPP(X54,X27)) ),
file('<stdin>',cls_mem__def_1) ).
fof(c_0_507,axiom,
! [X32,X28,X4] :
( c_List_Olist_ONil(X4) != c_List_Oappend(X28,X32,X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_Nil__is__append__conv_0) ).
fof(c_0_508,axiom,
! [X32,X28,X4] :
( c_List_Olist_ONil(X4) != c_List_Oappend(X28,X32,X4)
| X32 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_Nil__is__append__conv_1) ).
fof(c_0_509,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != c_List_Olist_ONil(X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_append__is__Nil__conv_0) ).
fof(c_0_510,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != c_List_Olist_ONil(X4)
| X32 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_append__is__Nil__conv_1) ).
fof(c_0_511,axiom,
! [X62] : ~ c_lessequals(c_Suc(X62),X62,tc_nat),
file('<stdin>',cls_Suc__n__not__le__n_0) ).
fof(c_0_512,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != X28
| X32 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_append__self__conv_0) ).
fof(c_0_513,axiom,
! [X32,X28,X4] :
( X28 != c_List_Oappend(X28,X32,X4)
| X32 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_self__append__conv_0) ).
fof(c_0_514,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != X32
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_append__self__conv2_0) ).
fof(c_0_515,axiom,
! [X32,X28,X4] :
( X32 != c_List_Oappend(X28,X32,X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_self__append__conv2_0) ).
fof(c_0_516,axiom,
! [X62] :
( X62 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X62,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
file('<stdin>',cls_le__0__eq_0) ).
fof(c_0_517,axiom,
! [X11,X12,X4] : c_List_Olist_OCons(X12,X11,X4) != c_List_Olist_ONil(X4),
file('<stdin>',cls_list_Osimps_I3_J_0) ).
fof(c_0_518,axiom,
! [X57,X27,X4] : c_List_Olist_OCons(X27,X57,X4) != c_List_Olist_ONil(X4),
file('<stdin>',cls_neq__Nil__conv_1) ).
fof(c_0_519,axiom,
! [X11,X12,X4] : c_List_Olist_ONil(X4) != c_List_Olist_OCons(X12,X11,X4),
file('<stdin>',cls_list_Osimps_I2_J_0) ).
fof(c_0_520,axiom,
! [X104,X105,X4] :
( X105 = X104
| ~ c_fequal(X105,X104,X4) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_521,axiom,
! [X28,X27,X4] : X28 != c_List_Olist_OCons(X27,X28,X4),
file('<stdin>',cls_not__Cons__self_0) ).
fof(c_0_522,axiom,
! [X27,X84,X4] : c_List_Olist_OCons(X27,X84,X4) != X84,
file('<stdin>',cls_not__Cons__self2_0) ).
fof(c_0_523,axiom,
! [X27,X4] : ~ c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X4),X27),X4),
file('<stdin>',cls_is__none__code_I2_J_0) ).
fof(c_0_524,axiom,
! [X58,X20,X4] : c_DefAss_O_092_060D_062(c_Expr_Oexp_Onew(X58,X4),X20,X4),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I1_J_0) ).
fof(c_0_525,axiom,
! [X26,X20,X4] : c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X26,X4),X20,X4),
file('<stdin>',cls__092_060D_062___092_060D_062s_Osimps_I3_J_0) ).
fof(c_0_526,axiom,
! [X28,X4] :
( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) != hAPP(c_List_Oset(X4),X28)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_set__empty2_0) ).
fof(c_0_527,axiom,
! [X28,X4] :
( hAPP(c_List_Oset(X4),X28) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_set__empty_0) ).
fof(c_0_528,axiom,
! [X28,X4] :
( c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Orev(X28,X4),X4) ),
file('<stdin>',cls_distinct__rev_0) ).
fof(c_0_529,axiom,
! [X20,X4] : c_lessequals(X20,X20,tc_fun(X4,tc_bool)),
file('<stdin>',cls_subset__refl_0) ).
fof(c_0_530,axiom,
! [X27,X4] : c_lessequals(X27,X27,tc_fun(X4,tc_bool)),
file('<stdin>',cls_equalityE_0) ).
fof(c_0_531,axiom,
! [X4] : c_List_Olist_ONil(X4) = c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4),
file('<stdin>',cls_Nil__is__append__conv_2) ).
fof(c_0_532,axiom,
! [X4] : c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
file('<stdin>',cls_append__is__Nil__conv_2) ).
fof(c_0_533,axiom,
! [X27,X4] :
( ~ class_Orderings_Obot(X4)
| c_lessequals(c_Orderings_Obot__class_Obot(X4),X27,X4) ),
file('<stdin>',cls_bot__least_0) ).
fof(c_0_534,axiom,
! [X28,X4] : hAPP(c_List_Oset(X4),c_List_Orev(X28,X4)) = hAPP(c_List_Oset(X4),X28),
file('<stdin>',cls_set__rev_0) ).
fof(c_0_535,axiom,
! [X28,X4] : c_Nat_Osize__class_Osize(c_List_Orev(X28,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)),
file('<stdin>',cls_length__rev_0) ).
fof(c_0_536,axiom,
! [X12,X14,X4] :
( hAPP(c_Option_Ooption_OSome(X4),X14) != hAPP(c_Option_Ooption_OSome(X4),X12)
| X14 = X12 ),
file('<stdin>',cls_option_Oinject_0) ).
fof(c_0_537,axiom,
! [X62] : c_lessequals(c_Suc(X62),c_Suc(X62),tc_nat),
file('<stdin>',cls_le__Suc__eq_2) ).
fof(c_0_538,axiom,
! [X49,X4] : c_List_OtakeWhile(X49,c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
file('<stdin>',cls_takeWhile_Osimps_I1_J_0) ).
fof(c_0_539,axiom,
! [X28,X4] :
( c_List_Odistinct(c_List_Orev(X28,X4),X4)
| ~ c_List_Odistinct(X28,X4) ),
file('<stdin>',cls_distinct__rev_1) ).
fof(c_0_540,axiom,
! [X27,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X27,X27,X4) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_541,axiom,
! [X27,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X27,X27,X4) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_542,axiom,
! [X28,X4] : c_List_Oappend(X28,c_List_Olist_ONil(X4),X4) = X28,
file('<stdin>',cls_append__Nil2_0) ).
fof(c_0_543,axiom,
! [X27,X4] : X27 = c_List_Oappend(c_List_Olist_ONil(X4),X27,X4),
file('<stdin>',cls_eq__Nil__appendI_0) ).
fof(c_0_544,axiom,
! [X28,X4] : X28 = c_List_Oappend(X28,c_List_Olist_ONil(X4),X4),
file('<stdin>',cls_self__append__conv_1) ).
fof(c_0_545,axiom,
! [X32,X4] : c_List_Oappend(c_List_Olist_ONil(X4),X32,X4) = X32,
file('<stdin>',cls_append__Nil_0) ).
fof(c_0_546,axiom,
! [X32,X4] : X32 = c_List_Oappend(c_List_Olist_ONil(X4),X32,X4),
file('<stdin>',cls_self__append__conv2_1) ).
fof(c_0_547,axiom,
! [X32,X4] : c_List_Osplice(c_List_Olist_ONil(X4),X32,X4) = X32,
file('<stdin>',cls_splice_Osimps_I1_J_0) ).
fof(c_0_548,axiom,
! [X28,X4] : c_List_Osplice(X28,c_List_Olist_ONil(X4),X4) = X28,
file('<stdin>',cls_splice__Nil2_0) ).
fof(c_0_549,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('<stdin>',cls_le__0__eq_1) ).
fof(c_0_550,axiom,
! [X62] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X62,tc_nat),
file('<stdin>',cls_le0_0) ).
fof(c_0_551,axiom,
! [X27,X4] : c_fequal(X27,X27,X4),
file('<stdin>',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(c_0_552,axiom,
! [X71,X4] : c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X71,X4),X4) = c_Transitive__Closure_Ortrancl(X71,X4),
file('<stdin>',cls_rtrancl__idemp_0) ).
fof(c_0_553,axiom,
! [X4] : hAPP(c_List_Oset(X4),c_List_Olist_ONil(X4)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
file('<stdin>',cls_set__empty_1) ).
fof(c_0_554,axiom,
! [X4] : c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) = hAPP(c_List_Oset(X4),c_List_Olist_ONil(X4)),
file('<stdin>',cls_set__empty2_1) ).
fof(c_0_555,axiom,
! [X27] : c_lessequals(X27,X27,tc_nat),
file('<stdin>',cls_eq__imp__le_0) ).
fof(c_0_556,axiom,
! [X62] : c_lessequals(X62,X62,tc_nat),
file('<stdin>',cls_le__refl_0) ).
fof(c_0_557,axiom,
! [X45,X29,X4] :
( c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OVal(X45,X4)
| X29 = X45 ),
file('<stdin>',cls_exp_Osimps_I3_J_0) ).
fof(c_0_558,axiom,
! [X32,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Orev(X32,X4)
| X28 = X32 ),
file('<stdin>',cls_rev__is__rev__conv_0) ).
fof(c_0_559,axiom,
! [X11,X15,X4] :
( c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_Onew(X11,X4)
| X15 = X11 ),
file('<stdin>',cls_exp_Osimps_I1_J_0) ).
fof(c_0_560,axiom,
! [X1,X10,X4] :
( c_Expr_Oexp_Othrow(X10,X4) != c_Expr_Oexp_Othrow(X1,X4)
| X10 = X1 ),
file('<stdin>',cls_exp_Osimps_I14_J_0) ).
fof(c_0_561,axiom,
! [X15,X1,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I41_J_0) ).
fof(c_0_562,axiom,
! [X29,X1,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I90_J_0) ).
fof(c_0_563,axiom,
! [X29,X1,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OVal(X29,X4),
file('<stdin>',cls_exp_Osimps_I91_J_0) ).
fof(c_0_564,axiom,
! [X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_Othrow(X1,X4),
file('<stdin>',cls_exp_Osimps_I40_J_0) ).
fof(c_0_565,axiom,
! [X45,X15,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OVal(X45,X4),
file('<stdin>',cls_exp_Osimps_I18_J_0) ).
fof(c_0_566,axiom,
! [X45,X15,X4] : c_Expr_Oexp_OVal(X45,X4) != c_Expr_Oexp_Onew(X15,X4),
file('<stdin>',cls_exp_Osimps_I19_J_0) ).
fof(c_0_567,axiom,
! [X28,X4] :
( c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_length__0__conv_0) ).
fof(c_0_568,axiom,
! [X28,X4] : c_List_Orev(c_List_Orev(X28,X4),X4) = X28,
file('<stdin>',cls_rev__rev__ident_0) ).
fof(c_0_569,axiom,
! [X32,X4] : c_List_Orev(c_List_Orev(X32,X4),X4) = X32,
file('<stdin>',cls_rev__swap_1) ).
fof(c_0_570,axiom,
! [X28,X4] : X28 = c_List_Orev(c_List_Orev(X28,X4),X4),
file('<stdin>',cls_rev__swap_0) ).
fof(c_0_571,axiom,
! [X57,X4] : c_BigStep_Ofinal(c_Expr_Oexp_OVal(X57,X4),X4),
file('<stdin>',cls_final__def_1) ).
fof(c_0_572,axiom,
! [X12,X4] : c_Option_Ooption_ONone(X4) != hAPP(c_Option_Ooption_OSome(X4),X12),
file('<stdin>',cls_option_Osimps_I2_J_0) ).
fof(c_0_573,axiom,
! [X40,X4] : c_Option_Ooption_ONone(X4) != hAPP(c_Option_Ooption_OSome(X4),X40),
file('<stdin>',cls_not__Some__eq_1) ).
fof(c_0_574,axiom,
! [X12,X4] : hAPP(c_Option_Ooption_OSome(X4),X12) != c_Option_Ooption_ONone(X4),
file('<stdin>',cls_option_Osimps_I3_J_0) ).
fof(c_0_575,axiom,
! [X57,X4] : hAPP(c_Option_Ooption_OSome(X4),X57) != c_Option_Ooption_ONone(X4),
file('<stdin>',cls_not__None__eq_1) ).
fof(c_0_576,axiom,
! [X102,X103] :
( class_HOL_Oord(tc_fun(X102,X103))
| ~ class_HOL_Oord(X103) ),
file('<stdin>',clsarity_fun__HOL_Oord) ).
fof(c_0_577,axiom,
! [X102,X103] :
( class_Orderings_Obot(tc_fun(X102,X103))
| ~ class_Orderings_Obot(X103) ),
file('<stdin>',clsarity_fun__Orderings_Obot) ).
fof(c_0_578,axiom,
! [X102,X103] :
( class_Orderings_Oorder(tc_fun(X102,X103))
| ~ class_Orderings_Oorder(X103) ),
file('<stdin>',clsarity_fun__Orderings_Oorder) ).
fof(c_0_579,axiom,
! [X102,X103] :
( class_Orderings_Opreorder(tc_fun(X102,X103))
| ~ class_Orderings_Opreorder(X103) ),
file('<stdin>',clsarity_fun__Orderings_Opreorder) ).
fof(c_0_580,axiom,
! [X102,X103] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X102,X103))
| ~ class_Complete__Lattice_Ocomplete__lattice(X103) ),
file('<stdin>',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
fof(c_0_581,axiom,
! [X4] : c_List_Oconcat(c_List_Olist_ONil(tc_List_Olist(X4)),X4) = c_List_Olist_ONil(X4),
file('<stdin>',cls_concat_Osimps_I1_J_0) ).
fof(c_0_582,axiom,
! [X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_ONil(X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_rev__is__Nil__conv_0) ).
fof(c_0_583,axiom,
! [X28,X4] :
( c_List_Olist_ONil(X4) != c_List_Orev(X28,X4)
| X28 = c_List_Olist_ONil(X4) ),
file('<stdin>',cls_Nil__is__rev__conv_0) ).
fof(c_0_584,axiom,
! [X4] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X4),tc_List_Olist(X4)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('<stdin>',cls_length__0__conv_1) ).
fof(c_0_585,axiom,
! [X27,X4] :
( X27 = c_Option_Ooption_ONone(X4)
| ~ c_Option_Ois__none(X27,X4) ),
file('<stdin>',cls_is__none__def_0) ).
fof(c_0_586,axiom,
! [X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X4),X4) ),
file('<stdin>',cls_sorted_Osimps_I1_J_0) ).
fof(c_0_587,axiom,
! [X4] : c_List_Orev(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
file('<stdin>',cls_rev__is__Nil__conv_1) ).
fof(c_0_588,axiom,
! [X4] : c_List_Obutlast(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
file('<stdin>',cls_butlast_Osimps_I1_J_0) ).
fof(c_0_589,axiom,
! [X4] : c_List_Olist_ONil(X4) = c_List_Orev(c_List_Olist_ONil(X4),X4),
file('<stdin>',cls_Nil__is__rev__conv_1) ).
fof(c_0_590,axiom,
! [X4] : c_List_Odistinct(c_List_Olist_ONil(X4),X4),
file('<stdin>',cls_distinct_Osimps_I1_J_0) ).
fof(c_0_591,axiom,
! [X4] : c_Option_Ois__none(c_Option_Ooption_ONone(X4),X4),
file('<stdin>',cls_is__none__def_1) ).
fof(c_0_592,axiom,
! [X36,X50] :
( c_Suc(X50) != c_Suc(X36)
| X50 = X36 ),
file('<stdin>',cls_nat_Oinject_0) ).
fof(c_0_593,axiom,
! [X40,X27] :
( c_Suc(X27) != c_Suc(X40)
| X27 = X40 ),
file('<stdin>',cls_Suc__inject_0) ).
fof(c_0_594,axiom,
! [X37] : c_Suc(X37) != c_HOL_Ozero__class_Ozero(tc_nat),
file('<stdin>',cls_Suc__neq__Zero_0) ).
fof(c_0_595,axiom,
! [X36] : c_Suc(X36) != c_HOL_Ozero__class_Ozero(tc_nat),
file('<stdin>',cls_nat_Osimps_I3_J_0) ).
fof(c_0_596,axiom,
! [X37] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X37),
file('<stdin>',cls_Zero__neq__Suc_0) ).
fof(c_0_597,axiom,
! [X36] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X36),
file('<stdin>',cls_nat_Osimps_I2_J_0) ).
fof(c_0_598,axiom,
! [X62] : X62 != c_Suc(X62),
file('<stdin>',cls_n__not__Suc__n_0) ).
fof(c_0_599,axiom,
! [X62] : c_Suc(X62) != X62,
file('<stdin>',cls_Suc__n__not__n_0) ).
fof(c_0_600,axiom,
class_HOL_Oord(tc_bool),
file('<stdin>',clsarity_bool__HOL_Oord) ).
fof(c_0_601,axiom,
class_Orderings_Obot(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Obot) ).
fof(c_0_602,axiom,
class_Orderings_Oorder(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Oorder) ).
fof(c_0_603,axiom,
class_Orderings_Opreorder(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Opreorder) ).
fof(c_0_604,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('<stdin>',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
fof(c_0_605,axiom,
class_HOL_Oord(tc_nat),
file('<stdin>',clsarity_nat__HOL_Oord) ).
fof(c_0_606,axiom,
class_Orderings_Obot(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Obot) ).
fof(c_0_607,axiom,
class_Orderings_Oorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Oorder) ).
fof(c_0_608,axiom,
class_Orderings_Olinorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Olinorder) ).
fof(c_0_609,axiom,
class_Orderings_Opreorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Opreorder) ).
fof(c_0_610,plain,
! [X91,X100,X92,X70,X93,X94,X48,X42,X96,X49] :
( c_Nat_Osize__class_Osize(X100,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X91,tc_List_Olist(tc_Value_Oval))
| c_Nat_Osize__class_Osize(X100,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_BigStep_Oeval(X49,X42,c_Pair(X94,c_Map_Omap__upds(X70,X100,X91,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))),X48,c_Pair(X93,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X49,X42,X48,X94,X93,X70,X100,X91),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49,c_SmallStep_Oblocks(c_Pair(X100,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X48,c_Pair(X93,X92,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_611,plain,
! [X91,X92,X70,X93,X94,X48,X42,X95,X96,X49] :
( ~ c_BigStep_Ofinal(X48,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X42,c_Pair(X94,c_Map_Omap__upds(X70,X95,X91,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(X48,c_Pair(X93,X92,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_List_Odistinct(X95,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X91,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X95,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X95,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,c_Pair(X93,c_Fun_Ooverride__on(X92,X70,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X95),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_612,plain,
! [X75,X76,X77,X78,X79,X38,X39,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X39,X38,tc_List_Olist(tc_String_Ochar)),X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X79,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X38,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X79,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X39,X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X75,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_613,plain,
! [X46,X47,X48,X42,X61,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X61,X42,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X61,X48,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_614,plain,
! [X46,X47,X48,X38,X42,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X42,X38,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X38,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_615,plain,
! [X46,X47,X48,X42,X61,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X61,X42,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X61,X48,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_616,plain,
! [X46,X47,X48,X38,X42,X49] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X42,X38,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X38,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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(X42,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X48,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_617,plain,
! [X91,X70,X94,X42,X95,X96,X49] :
( c_Nat_Osize__class_Osize(X91,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X95,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X96,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X95,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X42,c_Pair(X94,X70,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X42,tc_List_Olist(tc_String_Ochar)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_618,axiom,
! [X26,X64,X47,X61,X65,X49] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X61,X65,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X61,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X64,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X64,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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_0_8 ).
fof(c_0_619,axiom,
! [X64,X47,X61,X65,X49] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X61,X65,c_Expr_Oexp_OVal(X64,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X64,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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_0_9 ).
fof(c_0_620,axiom,
! [X26,X47,X38,X49] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X38,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X38,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X49),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_0_10 ).
fof(c_0_621,axiom,
! [X91,X26,X42,X95,X61,X96,X65] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(X61,X95,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(X65,X96,tc_Type_Oty),c_Pair(c_List_Olist_OCons(X26,X91,tc_Value_Oval),X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = c_Expr_Oexp_OBlock(X61,X65,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X61,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_SmallStep_Oblocks(c_Pair(X95,c_Pair(X96,c_Pair(X91,X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),
c_0_11 ).
fof(c_0_622,axiom,
! [X34,X19,X16,X14,X20,X21,X4] : c_Fun_Ofun__upd(c_Fun_Ooverride__on(X19,c_Fun_Ofun__upd(X34,X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21)),X20,X4,tc_Option_Ooption(X21)),X14,hAPP(X34,X14),X4,tc_Option_Ooption(X21)) = c_Fun_Ooverride__on(X19,X34,c_Set_Oinsert(X14,X20,X4),X4,tc_Option_Ooption(X21)),
c_0_12 ).
fof(c_0_623,plain,
! [X55,X56,X14,X49] :
( ~ hBOOL(hAPP(X49,c_Option_Ooption_Ooption__case(X56,X55,hAPP(c_Option_Ooption_OSome(t_b),X14),t_a,t_b)))
| hBOOL(hAPP(X49,hAPP(X55,X14))) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_624,plain,
! [X57,X55,X56,X49] :
( ~ hBOOL(hAPP(X49,c_Option_Ooption_Ooption__case(X56,X55,hAPP(c_Option_Ooption_OSome(t_b),X57),t_a,t_b)))
| hBOOL(hAPP(X49,hAPP(X55,X57))) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_625,plain,
! [X55,X56,X49] :
( ~ hBOOL(hAPP(X49,c_Option_Ooption_Ooption__case(X56,X55,c_Option_Ooption_ONone(t_b),t_a,t_b)))
| hBOOL(hAPP(X49,X56)) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_626,axiom,
! [X37,X59,X16,X60,X14,X21,X4] :
( c_Map_Omap__upds(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21)),X60,X59,X4,X21) = c_Fun_Ofun__upd(c_Map_Omap__upds(X37,X60,X59,X4,X21),X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21))
| c_in(X14,hAPP(c_List_Oset(X4),X60),X4) ),
c_0_16 ).
fof(c_0_627,axiom,
! [X37,X66,X67,X16,X14,X21,X4] :
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X37,X14,X16,X4,X21),X67,X66,X4,X21) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X37,X67,X66,X4,X21),X14,X16,X4,X21)
| X14 = X67 ),
c_0_17 ).
fof(c_0_628,axiom,
! [X27,X26,X52,X53,X63,X81,X21,X4] :
( hAPP(X53,X27) != hAPP(c_Option_Ooption_OSome(X4),X26)
| hAPP(X52,X63) != hAPP(c_Option_Ooption_OSome(X21),X27)
| c_Map_Omap__comp(X53,X52,X63,X21,X4,X81) = hAPP(c_Option_Ooption_OSome(X4),X26) ),
c_0_18 ).
fof(c_0_629,axiom,
! [X27,X52,X53,X63,X81,X21,X4] :
( hAPP(X53,X27) != c_Option_Ooption_ONone(X4)
| hAPP(X52,X63) != hAPP(c_Option_Ooption_OSome(X21),X27)
| c_Map_Omap__comp(X53,X52,X63,X21,X4,X81) = c_Option_Ooption_ONone(X4) ),
c_0_19 ).
fof(c_0_630,axiom,
! [X52,X53,X89,X63,X81,X21,X4] :
( hAPP(X52,X63) != hAPP(c_Option_Ooption_OSome(X4),X89)
| c_Map_Omap__comp(X53,X52,X63,X4,X81,X21) = hAPP(X53,X89) ),
c_0_20 ).
fof(c_0_631,axiom,
! [X52,X53,X63,X81,X21,X4] :
( hAPP(X52,X63) != c_Option_Ooption_ONone(X4)
| c_Map_Omap__comp(X53,X52,X63,X4,X81,X21) = c_Option_Ooption_ONone(X81) ),
c_0_21 ).
fof(c_0_632,axiom,
! [X52,X53,X63,X81,X21,X4] :
( hAPP(X52,X63) != c_Option_Ooption_ONone(X21)
| c_Map_Omap__comp(X53,X52,X63,X21,X4,X81) = c_Option_Ooption_ONone(X4) ),
c_0_22 ).
fof(c_0_633,plain,
! [X26,X76,X77,X78,X38,X39,X80,X49] :
( c_BigStep_Oeval(X49,c_Expr_Oexp_OSeq(X80,X39,tc_List_Olist(tc_String_Ochar)),X78,X38,X76)
| ~ c_BigStep_Oeval(X49,X39,X77,X38,X76)
| ~ c_BigStep_Oeval(X49,X80,X78,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X77) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_634,plain,
! [X38,X39,X61,X58,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X61,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X39,X58,X61,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_635,axiom,
! [X37,X59,X16,X60,X14,X21,X4] : c_Map_Omap__upds(X37,c_List_Olist_OCons(X14,X60,X4),c_List_Olist_OCons(X16,X59,X21),X4,X21) = c_Map_Omap__upds(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X21),X16),X4,tc_Option_Ooption(X21)),X60,X59,X4,X21),
c_0_25 ).
fof(c_0_636,axiom,
! [X69,X40,X27,X19,X21,X4] : c_Fun_Ofun__upd(c_Fun_Ofun__upd(X19,X27,X40,X4,X21),X27,X69,X4,X21) = c_Fun_Ofun__upd(X19,X27,X69,X4,X21),
c_0_26 ).
fof(c_0_637,plain,
! [X38,X39,X61,X58,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X39,X58,X61,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X61,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_638,axiom,
! [X40,X27,X34,X19,X21,X4] : c_Map_Omap__add(X19,c_Fun_Ofun__upd(X34,X27,hAPP(c_Option_Ooption_OSome(X21),X40),X4,tc_Option_Ooption(X21)),X4,X21) = c_Fun_Ofun__upd(c_Map_Omap__add(X19,X34,X4,X21),X27,hAPP(c_Option_Ooption_OSome(X21),X40),X4,tc_Option_Ooption(X21)),
c_0_28 ).
fof(c_0_639,axiom,
! [X32,X28,X52,X53,X21,X4] : c_Map_Omap__add(X53,c_Map_Omap__upds(X52,X28,X32,X4,X21),X4,X21) = c_Map_Omap__upds(c_Map_Omap__add(X53,X52,X4,X21),X28,X32,X4,X21),
c_0_29 ).
fof(c_0_640,axiom,
! [X42] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X42,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X42,
c_0_30 ).
fof(c_0_641,plain,
! [X38,X39,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_642,axiom,
! [X40,X27,X37,X16,X14,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X4),X16),X21,tc_Option_Ooption(X4)),X27) != hAPP(c_Option_Ooption_OSome(X4),X40)
| hAPP(X37,X27) = hAPP(c_Option_Ooption_OSome(X4),X40)
| X27 = X14 ),
c_0_32 ).
fof(c_0_643,axiom,
! [X40,X27,X37,X16,X14,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X4),X16),X21,tc_Option_Ooption(X4)),X27) != hAPP(c_Option_Ooption_OSome(X4),X40)
| hAPP(X37,X27) = hAPP(c_Option_Ooption_OSome(X4),X40)
| X16 = X40 ),
c_0_33 ).
fof(c_0_644,axiom,
! [X40,X27,X37,X16,X73,X4] :
( X16 = X40
| hAPP(c_Fun_Ofun__upd(X37,X27,hAPP(c_Option_Ooption_OSome(X73),X16),X4,tc_Option_Ooption(X73)),X27) != hAPP(c_Option_Ooption_OSome(X73),X40) ),
c_0_34 ).
fof(c_0_645,plain,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),X4) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_646,axiom,
! [X40,X27,X62,X37,X14,X21,X4] :
( c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X21),X27),X4,tc_Option_Ooption(X21)) != c_Fun_Ofun__upd(X62,X14,hAPP(c_Option_Ooption_OSome(X21),X40),X4,tc_Option_Ooption(X21))
| X27 = X40 ),
c_0_36 ).
fof(c_0_647,plain,
! [X38,X39,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_648,plain,
! [X38,X39,X61,X58,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X39,X58,X61,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_649,plain,
! [X32,X40,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Olinorder__class_Oinsort__key(X19,X27,c_List_Olist_OCons(X40,X32,X4),X4,X21) = c_List_Olist_OCons(X40,c_List_Olinorder__class_Oinsort__key(X19,X27,X32,X4,X21),X4)
| c_lessequals(hAPP(X19,X27),hAPP(X19,X40),X21) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_650,plain,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),X4) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_651,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X3 = X9 ),
c_0_41 ).
fof(c_0_652,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X15 = X11 ),
c_0_42 ).
fof(c_0_653,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X14 = X12 ),
c_0_43 ).
fof(c_0_654,axiom,
! [X11,X15,X8,X2,X9,X3,X12,X14,X4] :
( c_Expr_Oexp_OTryCatch(X3,X15,X14,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4)
| X2 = X8 ),
c_0_44 ).
fof(c_0_655,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X3 = X9 ),
c_0_45 ).
fof(c_0_656,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X6 = X18 ),
c_0_46 ).
fof(c_0_657,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X5 = X17 ),
c_0_47 ).
fof(c_0_658,axiom,
! [X17,X5,X18,X6,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4)
| X2 = X8 ),
c_0_48 ).
fof(c_0_659,axiom,
! [X11,X5,X6,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_49 ).
fof(c_0_660,axiom,
! [X11,X5,X6,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_50 ).
fof(c_0_661,plain,
! [X38,X39,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_662,axiom,
! [X40,X27,X37,X16,X14,X21,X4] :
( hAPP(X37,X27) != hAPP(c_Option_Ooption_OSome(X4),X40)
| X27 = X14
| hAPP(c_Fun_Ofun__upd(X37,X14,hAPP(c_Option_Ooption_OSome(X4),X16),X21,tc_Option_Ooption(X4)),X27) = hAPP(c_Option_Ooption_OSome(X4),X40) ),
c_0_52 ).
fof(c_0_663,axiom,
! [X31,X32,X28,X37,X21,X4] :
( c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X32,tc_List_Olist(X21))
| c_Map_Omap__upds(X37,X28,c_List_Oappend(X32,X31,X21),X4,X21) = c_Map_Omap__upds(X37,X28,X32,X4,X21) ),
c_0_53 ).
fof(c_0_664,axiom,
! [X31,X32,X28,X37,X21,X4] :
( c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X32,tc_List_Olist(X21))
| c_Map_Omap__upds(X37,c_List_Oappend(X28,X31,X4),X32,X4,X21) = c_Map_Omap__upds(X37,X28,X32,X4,X21) ),
c_0_54 ).
fof(c_0_665,plain,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),X4)
| ~ c_List_Odistinct(X28,X4)
| c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_666,axiom,
! [X57,X27,X37,X73,X4] : hAPP(c_Fun_Ofun__upd(X37,X57,hAPP(c_Option_Ooption_OSome(X4),X27),X73,tc_Option_Ooption(X4)),X57) = hAPP(c_Option_Ooption_OSome(X4),X27),
c_0_56 ).
fof(c_0_667,axiom,
! [X32,X28,X27,X19,X21,X4] :
( hAPP(c_Map_Omap__upds(X19,X28,X32,X4,X21),X27) = hAPP(X19,X27)
| c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
c_0_57 ).
fof(c_0_668,axiom,
! [X38,X39,X43,X44,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAss(X39,X43,X44,X38,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X39,X4),c_DefAss_O_092_060A_062(X38,X4),X4),
c_0_58 ).
fof(c_0_669,plain,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| hAPP(c_List_Oset(X4),c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21)) = c_Set_Oinsert(X27,hAPP(c_List_Oset(X4),X28),X4) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_670,plain,
! [X34,X19,X14,X20,X21,X4] :
( hAPP(c_Fun_Ooverride__on(X19,X34,X20,X4,X21),X14) = hAPP(X34,X14)
| ~ c_in(X14,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_671,axiom,
! [X34,X19,X14,X20,X21,X4] :
( hAPP(c_Fun_Ooverride__on(X19,X34,X20,X4,X21),X14) = hAPP(X19,X14)
| c_in(X14,X20,X4) ),
c_0_61 ).
fof(c_0_672,plain,
! [X71,X67,X16,X14,X4] :
( c_in(c_Pair(X14,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X16,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X14,X16,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_673,plain,
! [X28,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X19,X27,X28,X4,X21),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_674,plain,
! [X71,X67,X16,X14,X4] :
( c_in(c_Pair(X14,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X16,X67,X4,X4),X71,tc_prod(X4,X4))
| ~ c_in(c_Pair(X14,X16,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_675,plain,
! [X71,X67,X16,X14,X4] :
( c_in(c_Pair(X14,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X16,X67,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(c_Pair(X14,X16,X4,X4),X71,tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_676,axiom,
! [X69,X40,X27,X19,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X19,X27,X40,X4,X21),X69) = hAPP(X19,X69)
| X69 = X27 ),
c_0_66 ).
fof(c_0_677,axiom,
! [X69,X40,X27,X19,X21,X4] :
( hAPP(c_Fun_Ofun__upd(X19,X27,X40,X21,X4),X69) = hAPP(X19,X69)
| X69 = X27 ),
c_0_67 ).
fof(c_0_678,axiom,
! [X40,X27,X19,X73,X4] : hAPP(c_Fun_Ofun__upd(X19,X27,X40,X4,X73),X27) = X40,
c_0_68 ).
fof(c_0_679,axiom,
! [X40,X27,X19,X21,X4] : hAPP(c_Fun_Ofun__upd(X19,X27,X40,X21,X4),X27) = X40,
c_0_69 ).
fof(c_0_680,axiom,
! [X13,X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_70 ).
fof(c_0_681,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_71 ).
fof(c_0_682,axiom,
! [X17,X5,X18,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
c_0_72 ).
fof(c_0_683,axiom,
! [X17,X18,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_73 ).
fof(c_0_684,axiom,
! [X11,X8,X2,X9,X3,X35,X12,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_74 ).
fof(c_0_685,axiom,
! [X17,X5,X18,X6,X1,X2,X3,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_75 ).
fof(c_0_686,axiom,
! [X5,X6,X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_76 ).
fof(c_0_687,axiom,
! [X11,X22,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OCond(X3,X2,X22,X4),
c_0_77 ).
fof(c_0_688,axiom,
! [X13,X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
c_0_78 ).
fof(c_0_689,axiom,
! [X17,X5,X18,X6,X1,X2,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_79 ).
fof(c_0_690,axiom,
! [X17,X5,X18,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_80 ).
fof(c_0_691,axiom,
! [X11,X8,X2,X9,X3,X35,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_81 ).
fof(c_0_692,axiom,
! [X33,X5,X6,X1,X2,X3,X12,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_82 ).
fof(c_0_693,axiom,
! [X11,X22,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_83 ).
fof(c_0_694,axiom,
! [X33,X5,X6,X1,X2,X3,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_84 ).
fof(c_0_695,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_85 ).
fof(c_0_696,axiom,
! [X17,X18,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
c_0_86 ).
fof(c_0_697,axiom,
! [X5,X6,X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_87 ).
fof(c_0_698,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
c_0_88 ).
fof(c_0_699,axiom,
! [X11,X5,X6,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_89 ).
fof(c_0_700,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_90 ).
fof(c_0_701,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
c_0_91 ).
fof(c_0_702,axiom,
! [X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_92 ).
fof(c_0_703,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_93 ).
fof(c_0_704,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_94 ).
fof(c_0_705,axiom,
! [X11,X8,X9,X10,X12,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_95 ).
fof(c_0_706,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_96 ).
fof(c_0_707,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_97 ).
fof(c_0_708,axiom,
! [X17,X18,X15,X8,X9,X10,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_98 ).
fof(c_0_709,axiom,
! [X11,X15,X8,X9,X10,X12,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_99 ).
fof(c_0_710,axiom,
! [X5,X6,X8,X2,X9,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_100 ).
fof(c_0_711,axiom,
! [X17,X18,X8,X9,X10,X14,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_101 ).
fof(c_0_712,axiom,
! [X11,X8,X2,X9,X3,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
c_0_102 ).
fof(c_0_713,axiom,
! [X17,X18,X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
c_0_103 ).
fof(c_0_714,axiom,
! [X11,X15,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_104 ).
fof(c_0_715,axiom,
! [X17,X18,X15,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
c_0_105 ).
fof(c_0_716,axiom,
! [X14,X25,X20,X4] : c_DefAss_OhyperUn(X20,c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X25,X4),X4) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),c_DefAss_OhyperUn(X20,X25,X4),X4),
c_0_106 ).
fof(c_0_717,plain,
! [X26,X46,X47,X48,X49] :
( X48 = c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X49,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47,X48,X46) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_718,plain,
! [X26,X46,X47,X48,X49] :
( X46 = X47
| ~ c_BigStep_Oeval(X49,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47,X48,X46) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_719,axiom,
! [X29,X17,X18,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
c_0_109 ).
fof(c_0_720,axiom,
! [X29,X11,X8,X9,X12,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_110 ).
fof(c_0_721,axiom,
! [X5,X6,X1,X2,X3,X4] : c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_111 ).
fof(c_0_722,axiom,
! [X29,X11,X8,X9,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_112 ).
fof(c_0_723,axiom,
! [X11,X8,X9,X10,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_Othrow(X10,X4),
c_0_113 ).
fof(c_0_724,axiom,
! [X11,X15,X8,X9,X12,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_114 ).
fof(c_0_725,axiom,
! [X17,X18,X15,X8,X9,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_115 ).
fof(c_0_726,axiom,
! [X17,X18,X15,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4),
c_0_116 ).
fof(c_0_727,axiom,
! [X5,X6,X1,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OFAss(X3,X6,X5,X2,X4),
c_0_117 ).
fof(c_0_728,axiom,
! [X11,X8,X9,X10,X12,X4] : c_Expr_Oexp_Othrow(X10,X4) != c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4),
c_0_118 ).
fof(c_0_729,axiom,
! [X29,X17,X18,X8,X9,X4] : c_Expr_Oexp_OFAss(X9,X18,X17,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_119 ).
fof(c_0_730,axiom,
! [X11,X15,X8,X9,X12,X4] : c_Expr_Oexp_OTryCatch(X9,X11,X12,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_120 ).
fof(c_0_731,plain,
! [X46,X47,X48,X42,X49] :
( c_BigStep_Ofinal(X48,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X49,X42,X47,X48,X46) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_732,axiom,
! [X40,X27,X19,X21,X4] :
( c_Fun_Ofun__upd(X19,X27,X40,X4,X21) != X19
| hAPP(X19,X27) = X40 ),
c_0_122 ).
fof(c_0_733,plain,
! [X32,X40,X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Olinorder__class_Oinsort__key(X19,X27,c_List_Olist_OCons(X40,X32,X4),X4,X21) = c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X32,X4),X4)
| ~ c_lessequals(hAPP(X19,X27),hAPP(X19,X40),X21) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_734,axiom,
! [X51,X52,X53,X21,X4] : c_Map_Omap__add(X53,c_Map_Omap__add(X52,X51,X4,X21),X4,X21) = c_Map_Omap__add(c_Map_Omap__add(X53,X52,X4,X21),X51,X4,X21),
c_0_124 ).
fof(c_0_735,plain,
! [X16,X14,X25,X20,X21,X4] :
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),X16))
| ~ hBOOL(hAPP(hAPP(X25,X14),X16))
| ~ c_in(X14,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_736,plain,
! [X27,X16,X25,X20,X21,X4] :
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),X16))
| ~ hBOOL(hAPP(hAPP(X25,X27),X16))
| ~ c_in(X27,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_737,plain,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_738,axiom,
! [X27,X84,X63,X21,X4] :
( hAPP(X84,X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| c_Fun_Ofun__upd(X84,X63,hAPP(c_Option_Ooption_OSome(X4),X27),X21,tc_Option_Ooption(X4)) = X84 ),
c_0_128 ).
fof(c_0_739,plain,
! [X27,X19,X21,X4] :
( ~ class_Orderings_Olinorder(X21)
| c_List_Olinorder__class_Oinsort__key(X19,X27,c_List_Olist_ONil(X4),X4,X21) = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_740,axiom,
! [X26,X47,X49] : c_BigStep_Oeval(X49,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(X26,tc_List_Olist(tc_String_Ochar)),X47),
c_0_130 ).
fof(c_0_741,axiom,
! [X34,X19,X21,X4] : c_Fun_Ooverride__on(X19,X34,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X21) = X19,
c_0_131 ).
fof(c_0_742,axiom,
! [X55,X56,X14,X21,X4] : c_Option_Ooption_Ooption__case(X56,X55,hAPP(c_Option_Ooption_OSome(X21),X14),X4,X21) = hAPP(X55,X14),
c_0_132 ).
fof(c_0_743,plain,
! [X47,X42,X49] :
( c_BigStep_Oeval(X49,X42,X47,X42,X47)
| ~ c_BigStep_Ofinal(X42,tc_List_Olist(tc_String_Ochar)) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_744,axiom,
! [X27,X19,X73,X4] : c_Fun_Ofun__upd(X19,X27,hAPP(X19,X27),X73,X4) = X19,
c_0_134 ).
fof(c_0_745,axiom,
! [X27,X19,X21,X4] : c_Fun_Ofun__upd(X19,X27,hAPP(X19,X27),X4,X21) = X19,
c_0_135 ).
fof(c_0_746,axiom,
! [X27,X19,X21,X4] : c_Fun_Ofun__upd(X19,X27,hAPP(X19,X27),X21,X4) = X19,
c_0_136 ).
fof(c_0_747,axiom,
! [X14,X20,X4] : c_DefAss_OhyperUn(X20,hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X20,X4),
c_0_137 ).
fof(c_0_748,axiom,
! [X37,X59,X21,X4] : c_Map_Omap__upds(X37,c_List_Olist_ONil(X4),X59,X4,X21) = X37,
c_0_138 ).
fof(c_0_749,axiom,
! [X37,X60,X21,X4] : c_Map_Omap__upds(X37,X60,c_List_Olist_ONil(X21),X4,X21) = X37,
c_0_139 ).
fof(c_0_750,axiom,
! [X55,X56,X21,X4] : c_Option_Ooption_Ooption__case(X56,X55,c_Option_Ooption_ONone(X21),X4,X21) = X56,
c_0_140 ).
fof(c_0_751,plain,
! [X27,X41,X25,X20,X21,X4] :
( c_lessequals(hAPP(X20,X27),X25,tc_fun(X4,tc_bool))
| ~ c_in(X27,X41,X21)
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X41,X20,X21,tc_fun(X4,tc_bool)),X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_752,plain,
! [X38,X39,X35,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_753,plain,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_754,plain,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(X39,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_755,plain,
! [X38,X39,X35,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_756,plain,
! [X38,X39,X42,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X42,X39,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_757,plain,
! [X38,X39,X35,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_758,plain,
! [X42,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X42,X43,X44,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_759,plain,
! [X97,X42,X24,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X42,X24,X97,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_760,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X37,X63) = hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X62,X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
c_0_150 ).
fof(c_0_761,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X62,X63) = c_Option_Ooption_ONone(X4)
| hAPP(X62,X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
c_0_151 ).
fof(c_0_762,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X16 = X67
| X16 = X66 ),
c_0_152 ).
fof(c_0_763,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X14 = X66
| X16 = X66 ),
c_0_153 ).
fof(c_0_764,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X16 = X67
| X14 = X67 ),
c_0_154 ).
fof(c_0_765,axiom,
! [X66,X67,X16,X14,X4] :
( c_Set_Oinsert(X14,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X67,c_Set_Oinsert(X66,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X14 = X66
| X14 = X67 ),
c_0_155 ).
fof(c_0_766,axiom,
! [X83,X57,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Oappend(X57,c_List_Olist_OCons(X27,X83,X4),X4)),X4)
| c_in(X27,hAPP(c_List_Oset(X4),X83),X4) ),
c_0_156 ).
fof(c_0_767,axiom,
! [X83,X57,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Oappend(X57,c_List_Olist_OCons(X27,X83,X4),X4)),X4)
| c_in(X27,hAPP(c_List_Oset(X4),X57),X4) ),
c_0_157 ).
fof(c_0_768,axiom,
! [X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != c_Option_Ooption_ONone(X4)
| hAPP(X62,X63) = c_Option_Ooption_ONone(X4) ),
c_0_158 ).
fof(c_0_769,axiom,
! [X62,X37,X63,X21,X4] :
( hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) != c_Option_Ooption_ONone(X4)
| hAPP(X37,X63) = c_Option_Ooption_ONone(X4) ),
c_0_159 ).
fof(c_0_770,plain,
! [X16,X14,X25,X20,X21,X4] :
( c_in(X16,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),X21)
| ~ c_in(X16,hAPP(X25,X14),X21)
| ~ c_in(X14,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_771,plain,
! [X27,X16,X25,X20,X21,X4] :
( c_in(X16,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X21,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X16,hAPP(X25,X27),X4)
| ~ c_in(X27,X20,X21) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_772,plain,
! [X19,X14,X20,X21,X4] :
( c_Fun_Oinj__on(X19,X20,X4,X21)
| ~ c_Fun_Oinj__on(X19,c_Set_Oinsert(X14,X20,X4),X4,X21) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_773,axiom,
! [X14,X25,X21,X4] : c_Set_Oinsert(X14,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X21,tc_bool)),X25,X21,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
c_0_163 ).
fof(c_0_774,plain,
! [X32,X28,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(c_List_Oappend(X28,X32,X4),X4)),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(X28,X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_775,plain,
! [X32,X28,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(c_List_Oappend(X28,X32,X4),X4)),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(X32,X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_776,axiom,
! [X101,X16,X12,X14,X21,X4] :
( c_Pair(X14,X16,X4,X21) != c_Pair(X12,X101,X4,X21)
| X14 = X12 ),
c_0_166 ).
fof(c_0_777,axiom,
! [X101,X16,X12,X14,X21,X4] :
( c_Pair(X14,X16,X4,X21) != c_Pair(X12,X101,X4,X21)
| X16 = X101 ),
c_0_167 ).
fof(c_0_778,axiom,
! [X8,X2,X9,X3,X30,X35,X4] :
( c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4)
| X3 = X9 ),
c_0_168 ).
fof(c_0_779,axiom,
! [X8,X2,X9,X3,X30,X35,X4] :
( c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4)
| X35 = X30 ),
c_0_169 ).
fof(c_0_780,axiom,
! [X8,X2,X9,X3,X30,X35,X4] :
( c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4)
| X2 = X8 ),
c_0_170 ).
fof(c_0_781,axiom,
! [X7,X22,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4)
| X3 = X9 ),
c_0_171 ).
fof(c_0_782,axiom,
! [X7,X22,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4)
| X2 = X8 ),
c_0_172 ).
fof(c_0_783,axiom,
! [X7,X22,X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4)
| X22 = X7 ),
c_0_173 ).
fof(c_0_784,axiom,
! [X33,X13,X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4)
| X14 = X12 ),
c_0_174 ).
fof(c_0_785,axiom,
! [X33,X13,X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4)
| X13 = X33 ),
c_0_175 ).
fof(c_0_786,axiom,
! [X33,X13,X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4)
| X10 = X1 ),
c_0_176 ).
fof(c_0_787,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4)
| X5 = X17 ),
c_0_177 ).
fof(c_0_788,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4)
| X6 = X18 ),
c_0_178 ).
fof(c_0_789,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4)
| X10 = X1 ),
c_0_179 ).
fof(c_0_790,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4)
| X10 = X1 ),
c_0_180 ).
fof(c_0_791,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4)
| X6 = X18 ),
c_0_181 ).
fof(c_0_792,axiom,
! [X17,X5,X18,X6,X1,X10,X4] :
( c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4)
| X5 = X17 ),
c_0_182 ).
fof(c_0_793,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_183 ).
fof(c_0_794,axiom,
! [X7,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_184 ).
fof(c_0_795,axiom,
! [X33,X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_185 ).
fof(c_0_796,axiom,
! [X17,X5,X18,X6,X1,X10,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_186 ).
fof(c_0_797,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_187 ).
fof(c_0_798,axiom,
! [X17,X5,X18,X6,X1,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_188 ).
fof(c_0_799,axiom,
! [X13,X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_189 ).
fof(c_0_800,axiom,
! [X13,X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
c_0_190 ).
fof(c_0_801,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_191 ).
fof(c_0_802,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_192 ).
fof(c_0_803,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
c_0_193 ).
fof(c_0_804,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_194 ).
fof(c_0_805,axiom,
! [X33,X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_195 ).
fof(c_0_806,axiom,
! [X7,X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_196 ).
fof(c_0_807,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_197 ).
fof(c_0_808,axiom,
! [X17,X18,X1,X2,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
c_0_198 ).
fof(c_0_809,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_199 ).
fof(c_0_810,axiom,
! [X33,X5,X6,X1,X10,X12,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_200 ).
fof(c_0_811,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
c_0_201 ).
fof(c_0_812,axiom,
! [X5,X6,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_202 ).
fof(c_0_813,plain,
! [X19,X25,X20,X21,X4] :
( c_Fun_Oinj__on(X19,X20,X4,X21)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X19,X25,X4,X21) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_814,axiom,
! [X42,X61,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OLAss(X61,X42,X4),X4) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Set_Oinsert(X61,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),c_DefAss_O_092_060A_062(X42,X4),X4),
c_0_204 ).
fof(c_0_815,axiom,
! [X83,X57,X27,X4] : c_in(X27,hAPP(c_List_Oset(X4),c_List_Oappend(X57,c_List_Olist_OCons(X27,X83,X4),X4)),X4),
c_0_205 ).
fof(c_0_816,plain,
! [X14,X25,X20,X21,X4] :
( c_lessequals(hAPP(X25,X14),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X4,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| ~ c_in(X14,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_817,plain,
! [X23,X24,X20,X21,X4] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X21)
| c_lessequals(hAPP(X24,X23),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X24,X4,X21),X21)
| ~ c_in(X23,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_818,plain,
! [X31,X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X40,X31,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X31,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_819,plain,
! [X27,X49,X4] :
( ~ hBOOL(hAPP(X49,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X4),X27),X49,X4)))
| hBOOL(hAPP(X49,X27)) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_820,axiom,
! [X32,X40,X28,X27,X4] : c_List_Osplice(c_List_Olist_OCons(X27,X28,X4),c_List_Olist_OCons(X40,X32,X4),X4) = c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,c_List_Osplice(X28,X32,X4),X4),X4),
c_0_210 ).
fof(c_0_821,plain,
! [X42,X43,X44,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X42,X43,X44,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_822,plain,
! [X31,X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X31,X4),X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X40,X31,X4),X4)
| ~ c_lessequals(X27,X40,X4) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_823,axiom,
! [X38,X39,X35,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OBinOp(X39,X35,X38,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X39,X4),c_DefAss_O_092_060A_062(X38,X4),X4),
c_0_213 ).
fof(c_0_824,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(X37,X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(X62,X63) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
c_0_214 ).
fof(c_0_825,plain,
! [X40,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X40)
| ~ c_Fun_Oinj__on(X19,X20,X4,X21)
| X27 = X40
| ~ c_in(X40,X20,X4)
| ~ c_in(X27,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_826,plain,
! [X57,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X57)
| ~ c_in(X57,X20,X4)
| ~ c_in(X27,X20,X4)
| ~ c_Fun_Oinj__on(X19,X20,X4,X21)
| X27 = X57 ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_827,plain,
! [X40,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X40)
| ~ c_in(X40,X20,X4)
| ~ c_in(X27,X20,X4)
| ~ c_Fun_Oinj__on(X19,X20,X4,X21)
| X27 = X40 ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_828,plain,
! [X40,X27,X19,X20,X21,X4] :
( hAPP(X19,X27) != hAPP(X19,X40)
| ~ c_in(X40,X20,X4)
| ~ c_in(X27,X20,X4)
| X27 = X40
| ~ c_Fun_Oinj__on(X19,X20,X4,X21) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_829,axiom,
! [X71,X14,X4] : c_in(c_Pair(X14,X14,X4,X4),c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4)),
c_0_219 ).
fof(c_0_830,axiom,
! [X27,X74,X4] : c_in(c_Pair(X27,X27,X4,X4),c_Transitive__Closure_Ortrancl(X74,X4),tc_prod(X4,X4)),
c_0_220 ).
fof(c_0_831,plain,
! [X27,X25,X20,X21,X4] :
( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X21,tc_fun(X4,tc_bool))
| hAPP(X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X27,X20,X21) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_832,plain,
! [X27,X25,X20,X21,X4] :
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X20,X25,X21,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| hAPP(X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X27,X20,X21) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_833,plain,
! [X27,X20,X4] :
( X20 = c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)
| X20 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_834,plain,
! [X31,X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X27,X40,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_OCons(X40,X31,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_835,plain,
! [X38,X39,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X39,X38,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X39,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_836,plain,
! [X42,X67,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X42,X67,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X67,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_837,axiom,
! [X27,X62,X37,X63,X21,X4] :
( hAPP(X62,X63) != hAPP(c_Option_Ooption_OSome(X4),X27)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = hAPP(c_Option_Ooption_OSome(X4),X27) ),
c_0_227 ).
fof(c_0_838,axiom,
! [X90,X62,X37,X63,X21,X4] :
( hAPP(X62,X63) != hAPP(c_Option_Ooption_OSome(X4),X90)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = hAPP(c_Option_Ooption_OSome(X4),X90) ),
c_0_228 ).
fof(c_0_839,plain,
! [X40,X28,X27,X4] :
( c_in(X40,hAPP(c_List_Oset(X4),X28),X4)
| X40 = X27
| ~ c_in(X40,hAPP(c_List_Oset(X4),c_List_Olist_OCons(X27,X28,X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_840,plain,
! [X28,X27,X49,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_OtakeWhile(X49,X28,X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_841,axiom,
! [X62,X37,X63,X21,X4] :
( hAPP(X37,X63) != c_Option_Ooption_ONone(X4)
| hAPP(X62,X63) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X37,X62,X21,X4),X63) = c_Option_Ooption_ONone(X4) ),
c_0_231 ).
fof(c_0_842,axiom,
! [X32,X40,X28,X27,X4] :
( c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X32,c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4)
| X28 = X32 ),
c_0_232 ).
fof(c_0_843,axiom,
! [X32,X40,X28,X27,X4] :
( c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X32,c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4)
| X27 = X40 ),
c_0_233 ).
fof(c_0_844,plain,
! [X32,X28,X57,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X27,X57,X4)
| ~ c_in(X57,hAPP(c_List_Oset(X4),X32),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X28,X32,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_845,plain,
! [X32,X27,X4] : ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X27,X32,X4),tc_List_Olist(X4)),c_Nat_Osize__class_Osize(X32,tc_List_Olist(X4)),tc_nat),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_846,axiom,
! [X57,X27,X4] : c_Set_Oinsert(X57,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) = c_Set_Oinsert(X27,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),
c_0_236 ).
fof(c_0_847,axiom,
! [X42,X43,X44,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAcc(X42,X43,X44,X4),X4) = c_DefAss_O_092_060A_062(X42,X4),
c_0_237 ).
fof(c_0_848,plain,
! [X28,X27,X49,X4] :
( hBOOL(hAPP(X49,X27))
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_OtakeWhile(X49,X28,X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_849,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
c_0_239 ).
fof(c_0_850,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_240 ).
fof(c_0_851,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
c_0_241 ).
fof(c_0_852,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_242 ).
fof(c_0_853,axiom,
! [X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_243 ).
fof(c_0_854,axiom,
! [X33,X1,X10,X12,X14,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_244 ).
fof(c_0_855,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_245 ).
fof(c_0_856,axiom,
! [X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
c_0_246 ).
fof(c_0_857,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
c_0_247 ).
fof(c_0_858,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_248 ).
fof(c_0_859,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_249 ).
fof(c_0_860,axiom,
! [X7,X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_250 ).
fof(c_0_861,axiom,
! [X15,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_251 ).
fof(c_0_862,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_252 ).
fof(c_0_863,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_253 ).
fof(c_0_864,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_254 ).
fof(c_0_865,axiom,
! [X33,X15,X1,X10,X12,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_255 ).
fof(c_0_866,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
c_0_256 ).
fof(c_0_867,axiom,
! [X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
c_0_257 ).
fof(c_0_868,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_258 ).
fof(c_0_869,axiom,
! [X33,X15,X1,X10,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_259 ).
fof(c_0_870,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
c_0_260 ).
fof(c_0_871,axiom,
! [X22,X8,X2,X9,X3,X4] : c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_261 ).
fof(c_0_872,axiom,
! [X17,X18,X15,X1,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_262 ).
fof(c_0_873,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
c_0_263 ).
fof(c_0_874,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_264 ).
fof(c_0_875,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_265 ).
fof(c_0_876,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_266 ).
fof(c_0_877,axiom,
! [X33,X1,X10,X12,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_267 ).
fof(c_0_878,axiom,
! [X15,X8,X9,X10,X30,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4),
c_0_268 ).
fof(c_0_879,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_269 ).
fof(c_0_880,axiom,
! [X8,X2,X9,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_270 ).
fof(c_0_881,axiom,
! [X15,X8,X9,X10,X30,X4] : c_Expr_Oexp_OBinOp(X9,X30,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_271 ).
fof(c_0_882,axiom,
! [X1,X2,X3,X35,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_272 ).
fof(c_0_883,axiom,
! [X5,X6,X8,X9,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_273 ).
fof(c_0_884,axiom,
! [X7,X8,X2,X9,X3,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_274 ).
fof(c_0_885,axiom,
! [X17,X18,X1,X10,X14,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_275 ).
fof(c_0_886,axiom,
! [X22,X8,X2,X9,X3,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OCond(X3,X2,X22,X4),
c_0_276 ).
fof(c_0_887,axiom,
! [X15,X7,X8,X9,X10,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_277 ).
fof(c_0_888,axiom,
! [X13,X8,X9,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_278 ).
fof(c_0_889,plain,
! [X42,X67,X20,X4] :
( c_DefAss_O_092_060D_062(X67,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X42,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X42,X67,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_890,plain,
! [X38,X39,X20,X4] :
( c_DefAss_O_092_060D_062(X38,c_DefAss_OhyperUn(X20,c_DefAss_O_092_060A_062(X39,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X39,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_891,axiom,
! [X32,X40,X4] : c_List_Orev(c_List_Oappend(c_List_Orev(X32,X4),c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4),X4) = c_List_Olist_OCons(X40,X32,X4),
c_0_281 ).
fof(c_0_892,axiom,
! [X28,X27,X70,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Oappend(X28,c_List_Olist_OCons(X27,X70,X4),X4),X4) = c_List_OtakeWhile(X49,X28,X4)
| hBOOL(hAPP(X49,X27)) ),
c_0_282 ).
fof(c_0_893,plain,
! [X27,X25,X20,X4] :
( c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool))
| c_in(X27,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_894,plain,
! [X27,X25,X20,X4] :
( c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| c_in(X27,X20,X4)
| ~ c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_895,plain,
! [X16,X14,X4] :
( X16 = X14
| ~ c_in(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_285]) ).
fof(c_0_896,plain,
! [X40,X27,X20,X4] :
( hBOOL(hAPP(X20,X27))
| X40 = X27
| ~ hBOOL(hAPP(c_Set_Oinsert(X40,X20,X4),X27)) ),
inference(fof_simplification,[status(thm)],[c_0_286]) ).
fof(c_0_897,plain,
! [X14,X44,X58,X4] :
( c_lessequals(c_Set_Oinsert(X14,X58,X4),c_Set_Oinsert(X14,X44,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X58,X44,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_898,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_288 ).
fof(c_0_899,axiom,
! [X29,X33,X1,X12,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_289 ).
fof(c_0_900,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_290 ).
fof(c_0_901,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
c_0_291 ).
fof(c_0_902,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_OFAcc(X10,X6,X5,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_292 ).
fof(c_0_903,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_293 ).
fof(c_0_904,axiom,
! [X33,X15,X1,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_294 ).
fof(c_0_905,axiom,
! [X29,X8,X9,X30,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4),
c_0_295 ).
fof(c_0_906,axiom,
! [X1,X2,X3,X35,X4] : c_Expr_Oexp_OBinOp(X3,X35,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_296 ).
fof(c_0_907,axiom,
! [X13,X1,X10,X14,X4] : c_Expr_Oexp_OBlock(X14,X13,X10,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_297 ).
fof(c_0_908,axiom,
! [X1,X2,X3,X35,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OBinOp(X3,X35,X2,X4),
c_0_298 ).
fof(c_0_909,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OCall(X1,X18,X17,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_299 ).
fof(c_0_910,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OFAcc(X1,X18,X17,X4),
c_0_300 ).
fof(c_0_911,axiom,
! [X17,X18,X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OCall(X1,X18,X17,X4),
c_0_301 ).
fof(c_0_912,axiom,
! [X15,X7,X8,X9,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_302 ).
fof(c_0_913,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OFAcc(X10,X6,X5,X4),
c_0_303 ).
fof(c_0_914,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OCall(X10,X6,X5,X4),
c_0_304 ).
fof(c_0_915,axiom,
! [X15,X8,X9,X30,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OBinOp(X9,X30,X8,X4),
c_0_305 ).
fof(c_0_916,axiom,
! [X13,X1,X10,X14,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OBlock(X14,X13,X10,X4),
c_0_306 ).
fof(c_0_917,axiom,
! [X15,X8,X9,X30,X4] : c_Expr_Oexp_OBinOp(X9,X30,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_307 ).
fof(c_0_918,axiom,
! [X29,X17,X18,X1,X4] : c_Expr_Oexp_OFAcc(X1,X18,X17,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_308 ).
fof(c_0_919,axiom,
! [X29,X33,X1,X12,X4] : c_Expr_Oexp_OBlock(X12,X33,X1,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_309 ).
fof(c_0_920,axiom,
! [X29,X7,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_310 ).
fof(c_0_921,axiom,
! [X33,X15,X1,X12,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OBlock(X12,X33,X1,X4),
c_0_311 ).
fof(c_0_922,axiom,
! [X29,X7,X8,X9,X4] : c_Expr_Oexp_OCond(X9,X8,X7,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_312 ).
fof(c_0_923,axiom,
! [X1,X22,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OCond(X3,X2,X22,X4),
c_0_313 ).
fof(c_0_924,axiom,
! [X1,X22,X2,X3,X4] : c_Expr_Oexp_OCond(X3,X2,X22,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_314 ).
fof(c_0_925,axiom,
! [X15,X7,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OCond(X9,X8,X7,X4),
c_0_315 ).
fof(c_0_926,axiom,
! [X29,X8,X9,X30,X4] : c_Expr_Oexp_OBinOp(X9,X30,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_316 ).
fof(c_0_927,axiom,
! [X5,X6,X1,X10,X4] : c_Expr_Oexp_OCall(X10,X6,X5,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_317 ).
fof(c_0_928,axiom,
! [X68,X19,X21,X4] :
( c_Option_Omap(X19,X68,X21,X4) != c_Option_Ooption_ONone(X4)
| X68 = c_Option_Ooption_ONone(X21) ),
c_0_318 ).
fof(c_0_929,plain,
! [X28,X57,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X27,X57,X4)
| ~ c_in(X57,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,X28,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_930,plain,
! [X27,X25,X20,X4] :
( c_lessequals(c_Set_Oinsert(X27,X20,X4),X25,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_in(X27,X25,X4) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_931,plain,
! [X32,X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Oappend(X28,X32,X4),X4) = c_List_OtakeWhile(X49,X28,X4)
| hBOOL(hAPP(X49,X27))
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_932,axiom,
! [X28,X4] : hAPP(c_List_Oset(X4),c_List_Oconcat(X28,X4)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_List_Oset(tc_List_Olist(X4)),X28),c_List_Oset(X4),tc_List_Olist(X4),tc_fun(X4,tc_bool)),
c_0_322 ).
fof(c_0_933,plain,
! [X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_OCons(X27,c_List_OtakeWhile(X49,X28,X4),X4)
| ~ hBOOL(hAPP(X49,X27)) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_934,plain,
! [X27,X25,X20,X4] :
( c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X27,X20,X4),X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_935,axiom,
! [X28,X27,X4] : c_lessequals(hAPP(c_List_Oset(X4),X28),hAPP(c_List_Oset(X4),c_List_Olist_OCons(X27,X28,X4)),tc_fun(X4,tc_bool)),
c_0_325 ).
fof(c_0_936,plain,
! [X27,X25,X20,X4] :
( c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| c_in(X27,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_937,plain,
! [X27,X25,X20,X4] :
( c_lessequals(X20,c_Set_Oinsert(X27,X25,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| c_in(X27,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_938,axiom,
! [X28,X27,X4] : c_List_Obutlast(c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),X4) = X28,
c_0_328 ).
fof(c_0_939,axiom,
! [X28,X27,X4] : c_List_Olast(c_List_Oappend(X28,c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),X4) = X27,
c_0_329 ).
fof(c_0_940,plain,
! [X25,X98,X20,X4] :
( c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X20,X25,X4),c_DefAss_OhyperUn(X98,X25,X4),X4)
| ~ c_DefAss_Ohyper__subset(X20,X98,X4) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_941,plain,
! [X27,X25,X20,X4] :
( c_in(X27,X25,X4)
| ~ c_lessequals(c_Set_Oinsert(X27,X20,X4),X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_942,axiom,
! [X28,X49,X4] : c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X49,X28,X4),tc_List_Olist(X4)),c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)),tc_nat),
c_0_332 ).
fof(c_0_943,plain,
! [X28,X27,X4] :
( ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_List_Odistinct(c_List_Olist_OCons(X27,X28,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_944,axiom,
! [X16,X14,X4] :
( c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) != c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)
| X14 = X16 ),
c_0_334 ).
fof(c_0_945,axiom,
! [X27,X19,X21,X4] : c_Option_Omap(X19,hAPP(c_Option_Ooption_OSome(X21),X27),X21,X4) = hAPP(c_Option_Ooption_OSome(X4),hAPP(X19,X27)),
c_0_335 ).
fof(c_0_946,axiom,
! [X58,X25,X20,X4] : c_DefAss_OhyperUn(c_DefAss_OhyperUn(X20,X25,X4),X58,X4) = c_DefAss_OhyperUn(X20,c_DefAss_OhyperUn(X25,X58,X4),X4),
c_0_336 ).
fof(c_0_947,axiom,
! [X28,X27,X88,X4] : c_List_Oappend(X28,c_List_Oappend(X27,X88,X4),X4) = c_List_Oappend(c_List_Oappend(X28,X27,X4),X88,X4),
c_0_337 ).
fof(c_0_948,axiom,
! [X31,X32,X27,X4] : c_List_Oappend(c_List_Oappend(X31,X27,X4),X32,X4) = c_List_Oappend(X31,c_List_Oappend(X27,X32,X4),X4),
c_0_338 ).
fof(c_0_949,axiom,
! [X82,X28,X87,X4] : c_List_Oappend(X28,c_List_Oappend(X82,X87,X4),X4) = c_List_Oappend(c_List_Oappend(X28,X82,X4),X87,X4),
c_0_339 ).
fof(c_0_950,axiom,
! [X31,X32,X28,X4] : c_List_Oappend(c_List_Oappend(X28,X32,X4),X31,X4) = c_List_Oappend(X28,c_List_Oappend(X32,X31,X4),X4),
c_0_340 ).
fof(c_0_951,axiom,
! [X31,X82,X27,X4] : c_List_Olist_OCons(X27,c_List_Oappend(X82,X31,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X27,X82,X4),X31,X4),
c_0_341 ).
fof(c_0_952,axiom,
! [X31,X57,X27,X4] : c_List_Olist_OCons(X27,c_List_Oappend(X57,X31,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X27,X57,X4),X31,X4),
c_0_342 ).
fof(c_0_953,axiom,
! [X32,X28,X27,X4] : c_List_Oappend(c_List_Olist_OCons(X27,X28,X4),X32,X4) = c_List_Olist_OCons(X27,c_List_Oappend(X28,X32,X4),X4),
c_0_343 ).
fof(c_0_954,axiom,
! [X31,X57,X27,X4] : c_List_Oappend(c_List_Olist_OCons(X27,X57,X4),X31,X4) = c_List_Olist_OCons(X27,c_List_Oappend(X57,X31,X4),X4),
c_0_344 ).
fof(c_0_955,axiom,
! [X40,X27,X20,X4] : c_Set_Oinsert(X27,c_Set_Oinsert(X40,X20,X4),X4) = c_Set_Oinsert(X40,c_Set_Oinsert(X27,X20,X4),X4),
c_0_345 ).
fof(c_0_956,plain,
! [X58,X25,X20,X4] :
( c_lessequals(X20,X58,tc_fun(X4,tc_bool))
| ~ c_lessequals(X25,X58,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_346]) ).
fof(c_0_957,plain,
! [X28,X27,X4] :
( c_in(X27,hAPP(c_List_Oset(X4),X28),X4)
| ~ c_in(X27,hAPP(c_List_Oset(X4),c_List_Obutlast(X28,X4)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_347]) ).
fof(c_0_958,axiom,
! [X28,X27,X4] : c_List_Orev(c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Oappend(c_List_Orev(X28,X4),c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),
c_0_348 ).
fof(c_0_959,plain,
! [X16,X14,X20,X4] :
( c_in(X14,X20,X4)
| X14 = X16
| ~ c_in(X14,c_Set_Oinsert(X16,X20,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_349]) ).
fof(c_0_960,plain,
! [X42,X67,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X42,X67,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_350]) ).
fof(c_0_961,plain,
! [X42,X61,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X61,X42,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_351]) ).
fof(c_0_962,plain,
! [X42,X58,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X58,X42,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_352]) ).
fof(c_0_963,plain,
! [X38,X39,X20,X4] :
( c_DefAss_O_092_060D_062(X39,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X39,X38,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_353]) ).
fof(c_0_964,axiom,
! [X32,X40,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_OCons(X40,X32,X4)
| X28 = c_List_Oappend(c_List_Orev(X32,X4),c_List_Olist_OCons(X40,c_List_Olist_ONil(X4),X4),X4) ),
c_0_354 ).
fof(c_0_965,plain,
! [X16,X25,X20,X4] :
( c_lessequals(X20,c_Set_Oinsert(X16,X25,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_355]) ).
fof(c_0_966,axiom,
! [X19,X21,X4] : c_Fun_Oinj__on(X19,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X21),
c_0_356 ).
fof(c_0_967,plain,
! [X40,X27,X20,X4] :
( hBOOL(hAPP(c_Set_Oinsert(X40,X20,X4),X27))
| ~ hBOOL(hAPP(X20,X27)) ),
inference(fof_simplification,[status(thm)],[c_0_357]) ).
fof(c_0_968,axiom,
! [X27,X25,X20,X4] :
( c_Set_Oinsert(X27,X20,X4) != c_Set_Oinsert(X27,X25,X4)
| c_in(X27,X25,X4)
| c_in(X27,X20,X4)
| X20 = X25 ),
c_0_358 ).
fof(c_0_969,axiom,
! [X27,X4] : c_in(X27,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),
c_0_359 ).
fof(c_0_970,plain,
! [X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,X28,X4) != X28
| hBOOL(hAPP(X49,X27))
| ~ c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
inference(fof_simplification,[status(thm)],[c_0_360]) ).
fof(c_0_971,plain,
! [X84,X25,X20,X4] :
( c_in(X84,X25,X4)
| ~ c_in(X84,X20,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_361]) ).
fof(c_0_972,plain,
! [X27,X25,X20,X4] :
( c_in(X27,X25,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool))
| ~ c_in(X27,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_973,plain,
! [X67,X25,X20,X4] :
( c_in(X67,X25,X4)
| ~ c_in(X67,X20,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_363]) ).
fof(c_0_974,plain,
! [X27,X25,X20,X4] :
( c_in(X27,X25,X4)
| ~ c_in(X27,X20,X4)
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_975,axiom,
! [X20,X4] : c_Fun_Oinj__on(c_Option_Ooption_OSome(X4),X20,X4,tc_Option_Ooption(X4)),
c_0_365 ).
fof(c_0_976,axiom,
! [X19,X21,X4] : c_Option_Omap(X19,c_Option_Ooption_ONone(X21),X21,X4) = c_Option_Ooption_ONone(X4),
c_0_366 ).
fof(c_0_977,axiom,
! [X28,X4] :
( c_List_Oappend(c_List_Obutlast(X28,X4),c_List_Olist_OCons(c_List_Olast(X28,X4),c_List_Olist_ONil(X4),X4),X4) = X28
| X28 = c_List_Olist_ONil(X4) ),
c_0_367 ).
fof(c_0_978,plain,
! [X42,X61,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X61,X42,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_368]) ).
fof(c_0_979,plain,
! [X42,X58,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X58,X42,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_980,plain,
! [X16,X14,X20,X4] :
( c_in(X14,c_Set_Oinsert(X16,X20,X4),X4)
| ~ c_in(X14,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_981,plain,
! [X16,X14,X25,X4] :
( c_in(X14,c_Set_Oinsert(X16,X25,X4),X4)
| ~ c_in(X14,X25,X4) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_982,plain,
! [X25,X20,X4] :
( X20 = X25
| ~ c_lessequals(X25,X20,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_372]) ).
fof(c_0_983,plain,
! [X25,X20,X4] :
( X20 = X25
| ~ c_lessequals(X25,X20,tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,X25,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_373]) ).
fof(c_0_984,axiom,
! [X27,X20,X4] : hBOOL(hAPP(c_Set_Oinsert(X27,X20,X4),X27)),
c_0_374 ).
fof(c_0_985,plain,
! [X27,X34,X19,X21,X4] :
( ~ class_HOL_Oord(X21)
| c_lessequals(hAPP(X19,X27),hAPP(X34,X27),X21)
| ~ c_lessequals(X19,X34,tc_fun(X4,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_375]) ).
fof(c_0_986,plain,
! [X28,X27,X4] :
( c_List_Odistinct(c_List_Olist_OCons(X27,X28,X4),X4)
| ~ c_List_Odistinct(X28,X4)
| c_in(X27,hAPP(c_List_Oset(X4),X28),X4) ),
inference(fof_simplification,[status(thm)],[c_0_376]) ).
fof(c_0_987,plain,
! [X69,X40,X27,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X27,X69,X4)
| ~ c_lessequals(X40,X69,X4)
| ~ c_lessequals(X27,X40,X4) ),
inference(fof_simplification,[status(thm)],[c_0_377]) ).
fof(c_0_988,plain,
! [X69,X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X69,X27,X4)
| ~ c_lessequals(X69,X40,X4)
| ~ c_lessequals(X40,X27,X4) ),
inference(fof_simplification,[status(thm)],[c_0_378]) ).
fof(c_0_989,plain,
! [X71,X72,X4] :
( c_in(X72,c_Transitive__Closure_Ortrancl(X71,X4),tc_prod(X4,X4))
| ~ c_in(X72,X71,tc_prod(X4,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_379]) ).
fof(c_0_990,plain,
! [X20,X4] :
( X20 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_lessequals(X20,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_380]) ).
fof(c_0_991,plain,
! [X99,X27,X4] :
( c_List_Olist_ONil(X4) != c_List_Oconcat(X99,X4)
| X27 = c_List_Olist_ONil(X4)
| ~ c_in(X27,hAPP(c_List_Oset(tc_List_Olist(X4)),X99),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_992,plain,
! [X99,X27,X4] :
( c_List_Oconcat(X99,X4) != c_List_Olist_ONil(X4)
| X27 = c_List_Olist_ONil(X4)
| ~ c_in(X27,hAPP(c_List_Oset(tc_List_Olist(X4)),X99),tc_List_Olist(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_382]) ).
fof(c_0_993,plain,
! [X42,X98,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X98,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_Ohyper__subset(X20,X98,X4) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_994,plain,
! [X42,X98,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X98,X4)
| ~ c_DefAss_Ohyper__subset(X20,X98,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_995,axiom,
! [X32,X28,X4] : c_List_Orev(c_List_Oappend(X28,X32,X4),X4) = c_List_Oappend(c_List_Orev(X32,X4),c_List_Orev(X28,X4),X4),
c_0_385 ).
fof(c_0_996,axiom,
! [X38,X39,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OSeq(X39,X38,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X39,X4),c_DefAss_O_092_060A_062(X38,X4),X4),
c_0_386 ).
fof(c_0_997,axiom,
! [X28,X27,X4] : c_List_Olist_OCons(X27,X28,X4) = c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_OCons(X27,X28,X4),X4),
c_0_387 ).
fof(c_0_998,axiom,
! [X28,X27,X4] : c_List_Osplice(c_List_Olist_OCons(X27,X28,X4),c_List_Olist_ONil(X4),X4) = c_List_Olist_OCons(X27,X28,X4),
c_0_388 ).
fof(c_0_999,axiom,
! [X28,X27,X4] : c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_OCons(X27,X28,X4),
c_0_389 ).
fof(c_0_1000,plain,
! [X63,X85,X23] :
( c_lessequals(X23,X63,tc_nat)
| ~ c_lessequals(X85,X63,tc_nat)
| ~ c_lessequals(X23,X85,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_1001,axiom,
! [X28,X27,X4] : hAPP(c_List_Oset(X4),c_List_Olist_OCons(X27,X28,X4)) = c_Set_Oinsert(X27,hAPP(c_List_Oset(X4),X28),X4),
c_0_391 ).
fof(c_0_1002,axiom,
! [X27,X20,X4] : c_Set_Oinsert(X27,c_Set_Oinsert(X27,X20,X4),X4) = c_Set_Oinsert(X27,X20,X4),
c_0_392 ).
fof(c_0_1003,plain,
! [X27,X49,X4] :
( ~ hBOOL(hAPP(X49,X27))
| ~ c_in(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_393]) ).
fof(c_0_1004,axiom,
! [X28,X27,X4] : c_List_Oconcat(c_List_Olist_OCons(X27,X28,tc_List_Olist(X4)),X4) = c_List_Oappend(X27,c_List_Oconcat(X28,X4),X4),
c_0_394 ).
fof(c_0_1005,plain,
! [X32,X28,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(X28,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X28,X32,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_395]) ).
fof(c_0_1006,plain,
! [X32,X28,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(X32,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X28,X32,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_396]) ).
fof(c_0_1007,plain,
! [X28,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(X28,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,X28,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_397]) ).
fof(c_0_1008,plain,
! [X27,X4] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X27)),
inference(fof_simplification,[status(thm)],[c_0_398]) ).
fof(c_0_1009,axiom,
! [X28,X27,X4] :
( c_List_Obutlast(c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_OCons(X27,c_List_Obutlast(X28,X4),X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_399 ).
fof(c_0_1010,axiom,
! [X32,X28,X4] :
( c_List_Obutlast(c_List_Oappend(X28,X32,X4),X4) = c_List_Oappend(X28,c_List_Obutlast(X32,X4),X4)
| X32 = c_List_Olist_ONil(X4) ),
c_0_400 ).
fof(c_0_1011,plain,
! [X28,X27,X4] :
( c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Olist_OCons(X27,X28,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_401]) ).
fof(c_0_1012,plain,
! [X32,X28,X4] :
( c_List_Odistinct(X32,X4)
| ~ c_List_Odistinct(c_List_Oappend(X28,X32,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_402]) ).
fof(c_0_1013,plain,
! [X32,X28,X4] :
( c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Oappend(X28,X32,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_403]) ).
fof(c_0_1014,plain,
! [X27,X86,X49,X4] :
( hBOOL(hAPP(X86,X27))
| ~ c_lessequals(X49,X86,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X49,X27)) ),
inference(fof_simplification,[status(thm)],[c_0_404]) ).
fof(c_0_1015,plain,
! [X27,X86,X49,X4] :
( hBOOL(hAPP(X86,X27))
| ~ hBOOL(hAPP(X49,X27))
| ~ c_lessequals(X49,X86,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_405]) ).
fof(c_0_1016,plain,
! [X27,X49,X4] :
( hBOOL(hAPP(X49,X27))
| ~ c_in(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_1017,axiom,
! [X28,X27,X49,X4] :
( c_List_OtakeWhile(X49,c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X49,X27)) ),
c_0_407 ).
fof(c_0_1018,axiom,
! [X27,X4] : c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) = c_List_Orev(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4),
c_0_408 ).
fof(c_0_1019,axiom,
! [X27,X4] : c_List_Orev(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),
c_0_409 ).
fof(c_0_1020,axiom,
! [X14,X25,X4] : c_lessequals(X25,c_Set_Oinsert(X14,X25,X4),tc_fun(X4,tc_bool)),
c_0_410 ).
fof(c_0_1021,axiom,
! [X57,X27,X4] :
( c_Set_Oinsert(X27,X57,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_in(X27,X57,X4) ),
c_0_411 ).
fof(c_0_1022,plain,
! [X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| X27 = X40
| ~ c_lessequals(X27,X40,X4)
| ~ c_lessequals(X40,X27,X4) ),
inference(fof_simplification,[status(thm)],[c_0_412]) ).
fof(c_0_1023,plain,
! [X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| X27 = X40
| ~ c_lessequals(X40,X27,X4)
| ~ c_lessequals(X27,X40,X4) ),
inference(fof_simplification,[status(thm)],[c_0_413]) ).
fof(c_0_1024,plain,
! [X40,X27,X4] :
( ~ class_Orderings_Oorder(X4)
| X27 = X40
| ~ c_lessequals(X40,X27,X4)
| ~ c_lessequals(X27,X40,X4) ),
inference(fof_simplification,[status(thm)],[c_0_414]) ).
fof(c_0_1025,plain,
! [X42,X20,X4] :
( c_DefAss_O_092_060D_062(X42,X20,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X42,X4),X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_415]) ).
fof(c_0_1026,axiom,
! [X4] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
c_0_416 ).
fof(c_0_1027,axiom,
! [X28,X27,X4] :
( c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) != c_List_Orev(X28,X4)
| X28 = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) ),
c_0_417 ).
fof(c_0_1028,axiom,
! [X28,X27,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4)
| X28 = c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4) ),
c_0_418 ).
fof(c_0_1029,plain,
! [X62,X37] :
( ~ c_lessequals(X37,X62,tc_nat)
| ~ c_lessequals(c_Suc(X62),X37,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_419]) ).
fof(c_0_1030,axiom,
! [X11,X15,X12,X14,X4] :
( c_List_Olist_OCons(X14,X15,X4) != c_List_Olist_OCons(X12,X11,X4)
| X14 = X12 ),
c_0_420 ).
fof(c_0_1031,axiom,
! [X11,X15,X12,X14,X4] :
( c_List_Olist_OCons(X14,X15,X4) != c_List_Olist_OCons(X12,X11,X4)
| X15 = X11 ),
c_0_421 ).
fof(c_0_1032,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4)
| X2 = X8 ),
c_0_422 ).
fof(c_0_1033,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OSeq(X9,X8,X4)
| X3 = X9 ),
c_0_423 ).
fof(c_0_1034,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4)
| X2 = X8 ),
c_0_424 ).
fof(c_0_1035,axiom,
! [X8,X2,X9,X3,X4] :
( c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4)
| X3 = X9 ),
c_0_425 ).
fof(c_0_1036,axiom,
! [X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OLAss(X12,X1,X4)
| X14 = X12 ),
c_0_426 ).
fof(c_0_1037,axiom,
! [X1,X10,X12,X14,X4] :
( c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OLAss(X12,X1,X4)
| X10 = X1 ),
c_0_427 ).
fof(c_0_1038,axiom,
! [X11,X15,X1,X10,X4] :
( c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCast(X11,X1,X4)
| X10 = X1 ),
c_0_428 ).
fof(c_0_1039,axiom,
! [X11,X15,X1,X10,X4] :
( c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OCast(X11,X1,X4)
| X15 = X11 ),
c_0_429 ).
fof(c_0_1040,axiom,
! [X31,X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != c_List_Oappend(X28,X31,X4)
| X32 = X31 ),
c_0_430 ).
fof(c_0_1041,axiom,
! [X31,X32,X28,X4] :
( c_List_Oappend(X32,X28,X4) != c_List_Oappend(X31,X28,X4)
| X32 = X31 ),
c_0_431 ).
fof(c_0_1042,axiom,
! [X15,X1,X10,X12,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
c_0_432 ).
fof(c_0_1043,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_433 ).
fof(c_0_1044,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_434 ).
fof(c_0_1045,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_435 ).
fof(c_0_1046,axiom,
! [X8,X2,X9,X3,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
c_0_436 ).
fof(c_0_1047,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_437 ).
fof(c_0_1048,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_438 ).
fof(c_0_1049,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_439 ).
fof(c_0_1050,axiom,
! [X8,X2,X9,X3,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_440 ).
fof(c_0_1051,axiom,
! [X8,X9,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_441 ).
fof(c_0_1052,axiom,
! [X15,X8,X9,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_442 ).
fof(c_0_1053,axiom,
! [X15,X1,X10,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_443 ).
fof(c_0_1054,plain,
! [X62,X37] :
( X37 = X62
| ~ c_lessequals(X62,X37,tc_nat)
| ~ c_lessequals(X37,X62,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_444]) ).
fof(c_0_1055,axiom,
! [X57,X27,X4] : c_Nat_Osize__class_Osize(c_List_Olist_OCons(X27,X57,X4),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X57,tc_List_Olist(X4))),
c_0_445 ).
fof(c_0_1056,axiom,
! [X57,X27,X4] : c_Suc(c_Nat_Osize__class_Osize(X57,tc_List_Olist(X4))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X27,X57,X4),tc_List_Olist(X4)),
c_0_446 ).
fof(c_0_1057,plain,
! [X27,X4] : ~ c_in(X27,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
inference(fof_simplification,[status(thm)],[c_0_447]) ).
fof(c_0_1058,plain,
! [X67,X4] : ~ c_in(X67,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
inference(fof_simplification,[status(thm)],[c_0_448]) ).
fof(c_0_1059,plain,
! [X14,X4] : ~ c_in(X14,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
inference(fof_simplification,[status(thm)],[c_0_449]) ).
fof(c_0_1060,plain,
! [X42,X20,X4] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X42,X4),X20,X4)
| ~ c_DefAss_O_092_060D_062(X42,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_450]) ).
fof(c_0_1061,plain,
! [X32,X28,X4] :
( ~ class_Orderings_Olinorder(X4)
| hAPP(c_List_Oset(X4),X28) != hAPP(c_List_Oset(X4),X32)
| ~ c_List_Odistinct(X32,X4)
| ~ c_List_Olinorder__class_Osorted(X32,X4)
| ~ c_List_Odistinct(X28,X4)
| ~ c_List_Olinorder__class_Osorted(X28,X4)
| X28 = X32 ),
inference(fof_simplification,[status(thm)],[c_0_451]) ).
fof(c_0_1062,axiom,
! [X27,X25,X4] : c_in(X27,c_Set_Oinsert(X27,X25,X4),X4),
c_0_452 ).
fof(c_0_1063,axiom,
! [X14,X25,X4] : c_in(X14,c_Set_Oinsert(X14,X25,X4),X4),
c_0_453 ).
fof(c_0_1064,axiom,
! [X27,X20,X4] : c_in(X27,c_Set_Oinsert(X27,X20,X4),X4),
c_0_454 ).
fof(c_0_1065,axiom,
! [X58,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_Onew(X58,X4),X4) = hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),
c_0_455 ).
fof(c_0_1066,axiom,
! [X26,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OVal(X26,X4),X4) = hAPP(c_Option_Ooption_OSome(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),
c_0_456 ).
fof(c_0_1067,plain,
! [X62,X37] :
( c_lessequals(X62,X37,tc_nat)
| ~ c_lessequals(c_Suc(X62),c_Suc(X37),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_457]) ).
fof(c_0_1068,plain,
! [X62,X37] :
( X37 = c_Suc(X62)
| c_lessequals(X37,X62,tc_nat)
| ~ c_lessequals(X37,c_Suc(X62),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_458]) ).
fof(c_0_1069,plain,
! [X28,X49,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X49,X28,X4),X4)
| ~ c_List_Olinorder__class_Osorted(X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_459]) ).
fof(c_0_1070,plain,
! [X62,X37] :
( c_lessequals(c_Suc(X62),c_Suc(X37),tc_nat)
| ~ c_lessequals(X62,X37,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_460]) ).
fof(c_0_1071,axiom,
! [X28,X4] : c_List_Olast(c_List_Oappend(X28,c_List_Olist_ONil(X4),X4),X4) = c_List_Olast(X28,X4),
c_0_461 ).
fof(c_0_1072,axiom,
! [X28,X4] : c_List_Obutlast(c_List_Oappend(X28,c_List_Olist_ONil(X4),X4),X4) = c_List_Obutlast(X28,X4),
c_0_462 ).
fof(c_0_1073,plain,
! [X62,X37] :
( c_lessequals(X37,X62,tc_nat)
| ~ c_lessequals(c_Suc(X37),X62,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_463]) ).
fof(c_0_1074,plain,
! [X28,X49,X4] :
( c_List_Odistinct(c_List_OtakeWhile(X49,X28,X4),X4)
| ~ c_List_Odistinct(X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_464]) ).
fof(c_0_1075,plain,
! [X62,X37] :
( c_lessequals(X37,c_Suc(X62),tc_nat)
| ~ c_lessequals(X37,X62,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_465]) ).
fof(c_0_1076,plain,
! [X14,X20,X4] :
( c_Set_Oinsert(X14,X20,X4) = X20
| ~ c_in(X14,X20,X4) ),
inference(fof_simplification,[status(thm)],[c_0_466]) ).
fof(c_0_1077,plain,
! [X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_467]) ).
fof(c_0_1078,axiom,
! [X28,X27,X4] :
( c_List_Olast(c_List_Olist_OCons(X27,X28,X4),X4) = c_List_Olast(X28,X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_468 ).
fof(c_0_1079,axiom,
! [X32,X28,X4] :
( c_List_Olast(c_List_Oappend(X28,X32,X4),X4) = c_List_Olast(X32,X4)
| X32 = c_List_Olist_ONil(X4) ),
c_0_469 ).
fof(c_0_1080,axiom,
! [X27,X4] : c_List_Obutlast(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) = c_List_Olist_ONil(X4),
c_0_470 ).
fof(c_0_1081,axiom,
! [X42,X58,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OCast(X58,X42,X4),X4) = c_DefAss_O_092_060A_062(X42,X4),
c_0_471 ).
fof(c_0_1082,axiom,
! [X42,X16,X4] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OWhile(X16,X42,X4),X4) = c_DefAss_O_092_060A_062(X16,X4),
c_0_472 ).
fof(c_0_1083,axiom,
! [X27,X4] : c_List_Olast(c_List_Olist_OCons(X27,c_List_Olist_ONil(X4),X4),X4) = X27,
c_0_473 ).
fof(c_0_1084,axiom,
! [X20,X4] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X20,tc_fun(X4,tc_bool)),
c_0_474 ).
fof(c_0_1085,axiom,
! [X14,X20,X4] : c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) != c_Set_Oinsert(X14,X20,X4),
c_0_475 ).
fof(c_0_1086,axiom,
! [X14,X20,X4] : c_Set_Oinsert(X14,X20,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
c_0_476 ).
fof(c_0_1087,axiom,
! [X60,X4] :
( c_in(c_List_Olast(X60,X4),hAPP(c_List_Oset(X4),X60),X4)
| X60 = c_List_Olist_ONil(X4) ),
c_0_477 ).
fof(c_0_1088,plain,
! [X40,X27,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X40,X27,X4)
| c_lessequals(X27,X40,X4) ),
inference(fof_simplification,[status(thm)],[c_0_478]) ).
fof(c_0_1089,plain,
! [X27,X54,X4] :
( hBOOL(hAPP(X54,X27))
| ~ c_in(X27,X54,X4) ),
inference(fof_simplification,[status(thm)],[c_0_479]) ).
fof(c_0_1090,axiom,
! [X62,X37] :
( c_lessequals(c_Suc(X62),X37,tc_nat)
| c_lessequals(X37,X62,tc_nat) ),
c_0_480 ).
fof(c_0_1091,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_481 ).
fof(c_0_1092,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_482 ).
fof(c_0_1093,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
c_0_483 ).
fof(c_0_1094,axiom,
! [X45,X15,X10,X4] : c_Expr_Oexp_OVal(X45,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_484 ).
fof(c_0_1095,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_485 ).
fof(c_0_1096,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OSeq(X9,X8,X4),
c_0_486 ).
fof(c_0_1097,axiom,
! [X1,X10,X14,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OLAss(X14,X10,X4),
c_0_487 ).
fof(c_0_1098,axiom,
! [X15,X1,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_488 ).
fof(c_0_1099,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OSeq(X9,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_489 ).
fof(c_0_1100,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_490 ).
fof(c_0_1101,axiom,
! [X15,X1,X12,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
c_0_491 ).
fof(c_0_1102,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_492 ).
fof(c_0_1103,axiom,
! [X15,X8,X9,X4] : c_Expr_Oexp_OWhile(X9,X8,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_493 ).
fof(c_0_1104,axiom,
! [X29,X8,X9,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OWhile(X9,X8,X4),
c_0_494 ).
fof(c_0_1105,axiom,
! [X45,X15,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_OVal(X45,X4),
c_0_495 ).
fof(c_0_1106,axiom,
! [X15,X1,X10,X4] : c_Expr_Oexp_OCast(X15,X10,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_496 ).
fof(c_0_1107,axiom,
! [X11,X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OCast(X11,X1,X4),
c_0_497 ).
fof(c_0_1108,axiom,
! [X29,X1,X12,X4] : c_Expr_Oexp_OLAss(X12,X1,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_498 ).
fof(c_0_1109,axiom,
! [X15,X1,X10,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OCast(X15,X10,X4),
c_0_499 ).
fof(c_0_1110,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_500 ).
fof(c_0_1111,axiom,
! [X29,X1,X12,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OLAss(X12,X1,X4),
c_0_501 ).
fof(c_0_1112,axiom,
! [X1,X10,X14,X4] : c_Expr_Oexp_OLAss(X14,X10,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_502 ).
fof(c_0_1113,axiom,
! [X11,X15,X1,X4] : c_Expr_Oexp_OCast(X11,X1,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_503 ).
fof(c_0_1114,axiom,
! [X1,X2,X3,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
c_0_504 ).
fof(c_0_1115,axiom,
! [X62,X37] :
( c_lessequals(X62,X37,tc_nat)
| c_lessequals(X37,X62,tc_nat) ),
c_0_505 ).
fof(c_0_1116,plain,
! [X27,X54,X4] :
( c_in(X27,X54,X4)
| ~ hBOOL(hAPP(X54,X27)) ),
inference(fof_simplification,[status(thm)],[c_0_506]) ).
fof(c_0_1117,axiom,
! [X32,X28,X4] :
( c_List_Olist_ONil(X4) != c_List_Oappend(X28,X32,X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_507 ).
fof(c_0_1118,axiom,
! [X32,X28,X4] :
( c_List_Olist_ONil(X4) != c_List_Oappend(X28,X32,X4)
| X32 = c_List_Olist_ONil(X4) ),
c_0_508 ).
fof(c_0_1119,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != c_List_Olist_ONil(X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_509 ).
fof(c_0_1120,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != c_List_Olist_ONil(X4)
| X32 = c_List_Olist_ONil(X4) ),
c_0_510 ).
fof(c_0_1121,plain,
! [X62] : ~ c_lessequals(c_Suc(X62),X62,tc_nat),
inference(fof_simplification,[status(thm)],[c_0_511]) ).
fof(c_0_1122,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != X28
| X32 = c_List_Olist_ONil(X4) ),
c_0_512 ).
fof(c_0_1123,axiom,
! [X32,X28,X4] :
( X28 != c_List_Oappend(X28,X32,X4)
| X32 = c_List_Olist_ONil(X4) ),
c_0_513 ).
fof(c_0_1124,axiom,
! [X32,X28,X4] :
( c_List_Oappend(X28,X32,X4) != X32
| X28 = c_List_Olist_ONil(X4) ),
c_0_514 ).
fof(c_0_1125,axiom,
! [X32,X28,X4] :
( X32 != c_List_Oappend(X28,X32,X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_515 ).
fof(c_0_1126,plain,
! [X62] :
( X62 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X62,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_516]) ).
fof(c_0_1127,axiom,
! [X11,X12,X4] : c_List_Olist_OCons(X12,X11,X4) != c_List_Olist_ONil(X4),
c_0_517 ).
fof(c_0_1128,axiom,
! [X57,X27,X4] : c_List_Olist_OCons(X27,X57,X4) != c_List_Olist_ONil(X4),
c_0_518 ).
fof(c_0_1129,axiom,
! [X11,X12,X4] : c_List_Olist_ONil(X4) != c_List_Olist_OCons(X12,X11,X4),
c_0_519 ).
fof(c_0_1130,plain,
! [X104,X105,X4] :
( X105 = X104
| ~ c_fequal(X105,X104,X4) ),
inference(fof_simplification,[status(thm)],[c_0_520]) ).
fof(c_0_1131,axiom,
! [X28,X27,X4] : X28 != c_List_Olist_OCons(X27,X28,X4),
c_0_521 ).
fof(c_0_1132,axiom,
! [X27,X84,X4] : c_List_Olist_OCons(X27,X84,X4) != X84,
c_0_522 ).
fof(c_0_1133,plain,
! [X27,X4] : ~ c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X4),X27),X4),
inference(fof_simplification,[status(thm)],[c_0_523]) ).
fof(c_0_1134,axiom,
! [X58,X20,X4] : c_DefAss_O_092_060D_062(c_Expr_Oexp_Onew(X58,X4),X20,X4),
c_0_524 ).
fof(c_0_1135,axiom,
! [X26,X20,X4] : c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X26,X4),X20,X4),
c_0_525 ).
fof(c_0_1136,axiom,
! [X28,X4] :
( c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) != hAPP(c_List_Oset(X4),X28)
| X28 = c_List_Olist_ONil(X4) ),
c_0_526 ).
fof(c_0_1137,axiom,
! [X28,X4] :
( hAPP(c_List_Oset(X4),X28) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| X28 = c_List_Olist_ONil(X4) ),
c_0_527 ).
fof(c_0_1138,plain,
! [X28,X4] :
( c_List_Odistinct(X28,X4)
| ~ c_List_Odistinct(c_List_Orev(X28,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_528]) ).
fof(c_0_1139,axiom,
! [X20,X4] : c_lessequals(X20,X20,tc_fun(X4,tc_bool)),
c_0_529 ).
fof(c_0_1140,axiom,
! [X27,X4] : c_lessequals(X27,X27,tc_fun(X4,tc_bool)),
c_0_530 ).
fof(c_0_1141,axiom,
! [X4] : c_List_Olist_ONil(X4) = c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4),
c_0_531 ).
fof(c_0_1142,axiom,
! [X4] : c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
c_0_532 ).
fof(c_0_1143,plain,
! [X27,X4] :
( ~ class_Orderings_Obot(X4)
| c_lessequals(c_Orderings_Obot__class_Obot(X4),X27,X4) ),
inference(fof_simplification,[status(thm)],[c_0_533]) ).
fof(c_0_1144,axiom,
! [X28,X4] : hAPP(c_List_Oset(X4),c_List_Orev(X28,X4)) = hAPP(c_List_Oset(X4),X28),
c_0_534 ).
fof(c_0_1145,axiom,
! [X28,X4] : c_Nat_Osize__class_Osize(c_List_Orev(X28,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)),
c_0_535 ).
fof(c_0_1146,axiom,
! [X12,X14,X4] :
( hAPP(c_Option_Ooption_OSome(X4),X14) != hAPP(c_Option_Ooption_OSome(X4),X12)
| X14 = X12 ),
c_0_536 ).
fof(c_0_1147,axiom,
! [X62] : c_lessequals(c_Suc(X62),c_Suc(X62),tc_nat),
c_0_537 ).
fof(c_0_1148,axiom,
! [X49,X4] : c_List_OtakeWhile(X49,c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
c_0_538 ).
fof(c_0_1149,plain,
! [X28,X4] :
( c_List_Odistinct(c_List_Orev(X28,X4),X4)
| ~ c_List_Odistinct(X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_539]) ).
fof(c_0_1150,plain,
! [X27,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X27,X27,X4) ),
inference(fof_simplification,[status(thm)],[c_0_540]) ).
fof(c_0_1151,plain,
! [X27,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X27,X27,X4) ),
inference(fof_simplification,[status(thm)],[c_0_541]) ).
fof(c_0_1152,axiom,
! [X28,X4] : c_List_Oappend(X28,c_List_Olist_ONil(X4),X4) = X28,
c_0_542 ).
fof(c_0_1153,axiom,
! [X27,X4] : X27 = c_List_Oappend(c_List_Olist_ONil(X4),X27,X4),
c_0_543 ).
fof(c_0_1154,axiom,
! [X28,X4] : X28 = c_List_Oappend(X28,c_List_Olist_ONil(X4),X4),
c_0_544 ).
fof(c_0_1155,axiom,
! [X32,X4] : c_List_Oappend(c_List_Olist_ONil(X4),X32,X4) = X32,
c_0_545 ).
fof(c_0_1156,axiom,
! [X32,X4] : X32 = c_List_Oappend(c_List_Olist_ONil(X4),X32,X4),
c_0_546 ).
fof(c_0_1157,axiom,
! [X32,X4] : c_List_Osplice(c_List_Olist_ONil(X4),X32,X4) = X32,
c_0_547 ).
fof(c_0_1158,axiom,
! [X28,X4] : c_List_Osplice(X28,c_List_Olist_ONil(X4),X4) = X28,
c_0_548 ).
fof(c_0_1159,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
c_0_549 ).
fof(c_0_1160,axiom,
! [X62] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X62,tc_nat),
c_0_550 ).
fof(c_0_1161,axiom,
! [X27,X4] : c_fequal(X27,X27,X4),
c_0_551 ).
fof(c_0_1162,axiom,
! [X71,X4] : c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X71,X4),X4) = c_Transitive__Closure_Ortrancl(X71,X4),
c_0_552 ).
fof(c_0_1163,axiom,
! [X4] : hAPP(c_List_Oset(X4),c_List_Olist_ONil(X4)) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
c_0_553 ).
fof(c_0_1164,axiom,
! [X4] : c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) = hAPP(c_List_Oset(X4),c_List_Olist_ONil(X4)),
c_0_554 ).
fof(c_0_1165,axiom,
! [X27] : c_lessequals(X27,X27,tc_nat),
c_0_555 ).
fof(c_0_1166,axiom,
! [X62] : c_lessequals(X62,X62,tc_nat),
c_0_556 ).
fof(c_0_1167,axiom,
! [X45,X29,X4] :
( c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_OVal(X45,X4)
| X29 = X45 ),
c_0_557 ).
fof(c_0_1168,axiom,
! [X32,X28,X4] :
( c_List_Orev(X28,X4) != c_List_Orev(X32,X4)
| X28 = X32 ),
c_0_558 ).
fof(c_0_1169,axiom,
! [X11,X15,X4] :
( c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_Onew(X11,X4)
| X15 = X11 ),
c_0_559 ).
fof(c_0_1170,axiom,
! [X1,X10,X4] :
( c_Expr_Oexp_Othrow(X10,X4) != c_Expr_Oexp_Othrow(X1,X4)
| X10 = X1 ),
c_0_560 ).
fof(c_0_1171,axiom,
! [X15,X1,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_561 ).
fof(c_0_1172,axiom,
! [X29,X1,X4] : c_Expr_Oexp_OVal(X29,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_562 ).
fof(c_0_1173,axiom,
! [X29,X1,X4] : c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OVal(X29,X4),
c_0_563 ).
fof(c_0_1174,axiom,
! [X15,X1,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_Othrow(X1,X4),
c_0_564 ).
fof(c_0_1175,axiom,
! [X45,X15,X4] : c_Expr_Oexp_Onew(X15,X4) != c_Expr_Oexp_OVal(X45,X4),
c_0_565 ).
fof(c_0_1176,axiom,
! [X45,X15,X4] : c_Expr_Oexp_OVal(X45,X4) != c_Expr_Oexp_Onew(X15,X4),
c_0_566 ).
fof(c_0_1177,axiom,
! [X28,X4] :
( c_Nat_Osize__class_Osize(X28,tc_List_Olist(X4)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X28 = c_List_Olist_ONil(X4) ),
c_0_567 ).
fof(c_0_1178,axiom,
! [X28,X4] : c_List_Orev(c_List_Orev(X28,X4),X4) = X28,
c_0_568 ).
fof(c_0_1179,axiom,
! [X32,X4] : c_List_Orev(c_List_Orev(X32,X4),X4) = X32,
c_0_569 ).
fof(c_0_1180,axiom,
! [X28,X4] : X28 = c_List_Orev(c_List_Orev(X28,X4),X4),
c_0_570 ).
fof(c_0_1181,axiom,
! [X57,X4] : c_BigStep_Ofinal(c_Expr_Oexp_OVal(X57,X4),X4),
c_0_571 ).
fof(c_0_1182,axiom,
! [X12,X4] : c_Option_Ooption_ONone(X4) != hAPP(c_Option_Ooption_OSome(X4),X12),
c_0_572 ).
fof(c_0_1183,axiom,
! [X40,X4] : c_Option_Ooption_ONone(X4) != hAPP(c_Option_Ooption_OSome(X4),X40),
c_0_573 ).
fof(c_0_1184,axiom,
! [X12,X4] : hAPP(c_Option_Ooption_OSome(X4),X12) != c_Option_Ooption_ONone(X4),
c_0_574 ).
fof(c_0_1185,axiom,
! [X57,X4] : hAPP(c_Option_Ooption_OSome(X4),X57) != c_Option_Ooption_ONone(X4),
c_0_575 ).
fof(c_0_1186,plain,
! [X102,X103] :
( class_HOL_Oord(tc_fun(X102,X103))
| ~ class_HOL_Oord(X103) ),
inference(fof_simplification,[status(thm)],[c_0_576]) ).
fof(c_0_1187,plain,
! [X102,X103] :
( class_Orderings_Obot(tc_fun(X102,X103))
| ~ class_Orderings_Obot(X103) ),
inference(fof_simplification,[status(thm)],[c_0_577]) ).
fof(c_0_1188,plain,
! [X102,X103] :
( class_Orderings_Oorder(tc_fun(X102,X103))
| ~ class_Orderings_Oorder(X103) ),
inference(fof_simplification,[status(thm)],[c_0_578]) ).
fof(c_0_1189,plain,
! [X102,X103] :
( class_Orderings_Opreorder(tc_fun(X102,X103))
| ~ class_Orderings_Opreorder(X103) ),
inference(fof_simplification,[status(thm)],[c_0_579]) ).
fof(c_0_1190,plain,
! [X102,X103] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X102,X103))
| ~ class_Complete__Lattice_Ocomplete__lattice(X103) ),
inference(fof_simplification,[status(thm)],[c_0_580]) ).
fof(c_0_1191,axiom,
! [X4] : c_List_Oconcat(c_List_Olist_ONil(tc_List_Olist(X4)),X4) = c_List_Olist_ONil(X4),
c_0_581 ).
fof(c_0_1192,axiom,
! [X28,X4] :
( c_List_Orev(X28,X4) != c_List_Olist_ONil(X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_582 ).
fof(c_0_1193,axiom,
! [X28,X4] :
( c_List_Olist_ONil(X4) != c_List_Orev(X28,X4)
| X28 = c_List_Olist_ONil(X4) ),
c_0_583 ).
fof(c_0_1194,axiom,
! [X4] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X4),tc_List_Olist(X4)) = c_HOL_Ozero__class_Ozero(tc_nat),
c_0_584 ).
fof(c_0_1195,plain,
! [X27,X4] :
( X27 = c_Option_Ooption_ONone(X4)
| ~ c_Option_Ois__none(X27,X4) ),
inference(fof_simplification,[status(thm)],[c_0_585]) ).
fof(c_0_1196,plain,
! [X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_586]) ).
fof(c_0_1197,axiom,
! [X4] : c_List_Orev(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
c_0_587 ).
fof(c_0_1198,axiom,
! [X4] : c_List_Obutlast(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
c_0_588 ).
fof(c_0_1199,axiom,
! [X4] : c_List_Olist_ONil(X4) = c_List_Orev(c_List_Olist_ONil(X4),X4),
c_0_589 ).
fof(c_0_1200,axiom,
! [X4] : c_List_Odistinct(c_List_Olist_ONil(X4),X4),
c_0_590 ).
fof(c_0_1201,axiom,
! [X4] : c_Option_Ois__none(c_Option_Ooption_ONone(X4),X4),
c_0_591 ).
fof(c_0_1202,axiom,
! [X36,X50] :
( c_Suc(X50) != c_Suc(X36)
| X50 = X36 ),
c_0_592 ).
fof(c_0_1203,axiom,
! [X40,X27] :
( c_Suc(X27) != c_Suc(X40)
| X27 = X40 ),
c_0_593 ).
fof(c_0_1204,axiom,
! [X37] : c_Suc(X37) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_594 ).
fof(c_0_1205,axiom,
! [X36] : c_Suc(X36) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_595 ).
fof(c_0_1206,axiom,
! [X37] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X37),
c_0_596 ).
fof(c_0_1207,axiom,
! [X36] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X36),
c_0_597 ).
fof(c_0_1208,axiom,
! [X62] : X62 != c_Suc(X62),
c_0_598 ).
fof(c_0_1209,axiom,
! [X62] : c_Suc(X62) != X62,
c_0_599 ).
fof(c_0_1210,axiom,
class_HOL_Oord(tc_bool),
c_0_600 ).
fof(c_0_1211,axiom,
class_Orderings_Obot(tc_bool),
c_0_601 ).
fof(c_0_1212,axiom,
class_Orderings_Oorder(tc_bool),
c_0_602 ).
fof(c_0_1213,axiom,
class_Orderings_Opreorder(tc_bool),
c_0_603 ).
fof(c_0_1214,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
c_0_604 ).
fof(c_0_1215,axiom,
class_HOL_Oord(tc_nat),
c_0_605 ).
fof(c_0_1216,axiom,
class_Orderings_Obot(tc_nat),
c_0_606 ).
fof(c_0_1217,axiom,
class_Orderings_Oorder(tc_nat),
c_0_607 ).
fof(c_0_1218,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_608 ).
fof(c_0_1219,axiom,
class_Orderings_Opreorder(tc_nat),
c_0_609 ).
fof(c_0_1220,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108,X109,X110] :
( c_Nat_Osize__class_Osize(X102,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X101,tc_List_Olist(tc_Value_Oval))
| c_Nat_Osize__class_Osize(X102,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X109,tc_List_Olist(tc_Type_Oty))
| c_BigStep_Oeval(X110,X108,c_Pair(X106,c_Map_Omap__upds(X104,X102,X101,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))),X107,c_Pair(X105,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X110,X108,X107,X106,X105,X104,X102,X101),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X110,c_SmallStep_Oblocks(c_Pair(X102,c_Pair(X109,c_Pair(X101,X108,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X106,X104,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X107,c_Pair(X105,X103,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_610])])]) ).
fof(c_0_1221,plain,
! [X97,X98,X99,X100,X101,X102,X103,X104,X105,X106] :
( ~ c_BigStep_Ofinal(X102,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X103,c_Pair(X101,c_Map_Omap__upds(X99,X104,X97,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(X102,c_Pair(X100,X98,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X106),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_List_Odistinct(X104,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X97,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X105,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X104,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X105,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X104,c_Pair(X105,c_Pair(X97,X103,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X101,X99,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X102,c_Pair(X100,c_Fun_Ooverride__on(X98,X99,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X104),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X106),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_611])])]) ).
fof(c_0_1222,plain,
! [X80,X81,X82,X83,X84,X85,X86,X87] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X86,X85,tc_List_Olist(tc_String_Ochar)),X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X84,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X87),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X85,X82,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X84,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X87),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X86,X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X80,tc_List_Olist(tc_String_Ochar)),X82,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X87),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(variable_rename,[status(thm)],[c_0_612]) ).
fof(c_0_1223,plain,
! [X62,X63,X64,X65,X66,X67] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X66,X65,tc_List_Olist(tc_String_Ochar)),X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X66,X64,tc_List_Olist(tc_String_Ochar)),X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X67),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X65,X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X64,X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X67),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(variable_rename,[status(thm)],[c_0_613]) ).
fof(c_0_1224,plain,
! [X50,X51,X52,X53,X54,X55] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X54,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X52,X53,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X55),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X55),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_1225,plain,
! [X62,X63,X64,X65,X66,X67] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X66,X65,tc_List_Olist(tc_String_Ochar)),X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X66,X64,tc_List_Olist(tc_String_Ochar)),X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X67),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(X65,X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X64,X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X67),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)))))) ),
inference(variable_rename,[status(thm)],[c_0_615]) ).
fof(c_0_1226,plain,
! [X50,X51,X52,X53,X54,X55] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X54,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X52,X53,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X55),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(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X55),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)))))) ),
inference(variable_rename,[status(thm)],[c_0_616]) ).
fof(c_0_1227,plain,
! [X97,X98,X99,X100,X101,X102,X103] :
( c_Nat_Osize__class_Osize(X97,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X102,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X101,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X102,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X101,c_Pair(X102,c_Pair(X97,X100,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),c_Pair(X99,X98,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X100,c_Pair(X99,X98,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X103),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X100,tc_List_Olist(tc_String_Ochar)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_617])])]) ).
fof(c_0_1228,plain,
! [X66,X67,X68,X69,X70,X71] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X69,X70,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X69,c_Expr_Oexp_OVal(X66,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X67,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X67,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X71),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)))))),
inference(variable_rename,[status(thm)],[c_0_618]) ).
fof(c_0_1229,plain,
! [X66,X67,X68,X69,X70] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X68,X69,c_Expr_Oexp_OVal(X66,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X67,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X66,tc_List_Olist(tc_String_Ochar)),X67,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X70),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)))))),
inference(variable_rename,[status(thm)],[c_0_619]) ).
fof(c_0_1230,plain,
! [X50,X51,X52,X53] : c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X52,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X52,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X53),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)))))),
inference(variable_rename,[status(thm)],[c_0_620]) ).
fof(c_0_1231,plain,
! [X97,X98,X99,X100,X101,X102,X103] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(X101,X100,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(X103,X102,tc_Type_Oty),c_Pair(c_List_Olist_OCons(X98,X97,tc_Value_Oval),X99,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = c_Expr_Oexp_OBlock(X101,X103,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X101,c_Expr_Oexp_OVal(X98,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_SmallStep_Oblocks(c_Pair(X100,c_Pair(X102,c_Pair(X97,X99,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),
inference(variable_rename,[status(thm)],[c_0_621]) ).
fof(c_0_1232,plain,
! [X35,X36,X37,X38,X39,X40,X41] : c_Fun_Ofun__upd(c_Fun_Ooverride__on(X36,c_Fun_Ofun__upd(X35,X38,hAPP(c_Option_Ooption_OSome(X40),X37),X41,tc_Option_Ooption(X40)),X39,X41,tc_Option_Ooption(X40)),X38,hAPP(X35,X38),X41,tc_Option_Ooption(X40)) = c_Fun_Ooverride__on(X36,X35,c_Set_Oinsert(X38,X39,X41),X41,tc_Option_Ooption(X40)),
inference(variable_rename,[status(thm)],[c_0_622]) ).
fof(c_0_1233,plain,
! [X57,X58,X59,X60] :
( ~ hBOOL(hAPP(X60,c_Option_Ooption_Ooption__case(X58,X57,hAPP(c_Option_Ooption_OSome(t_b),X59),t_a,t_b)))
| hBOOL(hAPP(X60,hAPP(X57,X59))) ),
inference(variable_rename,[status(thm)],[c_0_623]) ).
fof(c_0_1234,plain,
! [X58,X59,X60,X61] :
( ~ hBOOL(hAPP(X61,c_Option_Ooption_Ooption__case(X60,X59,hAPP(c_Option_Ooption_OSome(t_b),X58),t_a,t_b)))
| hBOOL(hAPP(X61,hAPP(X59,X58))) ),
inference(variable_rename,[status(thm)],[c_0_624]) ).
fof(c_0_1235,plain,
! [X57,X58,X59] :
( ~ hBOOL(hAPP(X59,c_Option_Ooption_Ooption__case(X58,X57,c_Option_Ooption_ONone(t_b),t_a,t_b)))
| hBOOL(hAPP(X59,X58)) ),
inference(variable_rename,[status(thm)],[c_0_625]) ).
fof(c_0_1236,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_Map_Omap__upds(c_Fun_Ofun__upd(X61,X65,hAPP(c_Option_Ooption_OSome(X66),X63),X67,tc_Option_Ooption(X66)),X64,X62,X67,X66) = c_Fun_Ofun__upd(c_Map_Omap__upds(X61,X64,X62,X67,X66),X65,hAPP(c_Option_Ooption_OSome(X66),X63),X67,tc_Option_Ooption(X66))
| c_in(X65,hAPP(c_List_Oset(X67),X64),X67) ),
inference(variable_rename,[status(thm)],[c_0_626]) ).
fof(c_0_1237,plain,
! [X68,X69,X70,X71,X72,X73,X74] :
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X68,X72,X71,X74,X73),X70,X69,X74,X73) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X68,X70,X69,X74,X73),X72,X71,X74,X73)
| X72 = X70 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_627])])]) ).
fof(c_0_1238,plain,
! [X82,X83,X84,X85,X86,X87,X88,X89] :
( hAPP(X85,X82) != hAPP(c_Option_Ooption_OSome(X89),X83)
| hAPP(X84,X86) != hAPP(c_Option_Ooption_OSome(X88),X82)
| c_Map_Omap__comp(X85,X84,X86,X88,X89,X87) = hAPP(c_Option_Ooption_OSome(X89),X83) ),
inference(variable_rename,[status(thm)],[c_0_628]) ).
fof(c_0_1239,plain,
! [X82,X83,X84,X85,X86,X87,X88] :
( hAPP(X84,X82) != c_Option_Ooption_ONone(X88)
| hAPP(X83,X85) != hAPP(c_Option_Ooption_OSome(X87),X82)
| c_Map_Omap__comp(X84,X83,X85,X87,X88,X86) = c_Option_Ooption_ONone(X88) ),
inference(variable_rename,[status(thm)],[c_0_629]) ).
fof(c_0_1240,plain,
! [X90,X91,X92,X93,X94,X95,X96] :
( hAPP(X90,X93) != hAPP(c_Option_Ooption_OSome(X96),X92)
| c_Map_Omap__comp(X91,X90,X93,X96,X94,X95) = hAPP(X91,X92) ),
inference(variable_rename,[status(thm)],[c_0_630]) ).
fof(c_0_1241,plain,
! [X82,X83,X84,X85,X86,X87] :
( hAPP(X82,X84) != c_Option_Ooption_ONone(X87)
| c_Map_Omap__comp(X83,X82,X84,X87,X85,X86) = c_Option_Ooption_ONone(X85) ),
inference(variable_rename,[status(thm)],[c_0_631]) ).
fof(c_0_1242,plain,
! [X82,X83,X84,X85,X86,X87] :
( hAPP(X82,X84) != c_Option_Ooption_ONone(X86)
| c_Map_Omap__comp(X83,X82,X84,X86,X87,X85) = c_Option_Ooption_ONone(X87) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_632])])]) ).
fof(c_0_1243,plain,
! [X81,X82,X83,X84,X85,X86,X87,X88] :
( c_BigStep_Oeval(X88,c_Expr_Oexp_OSeq(X87,X86,tc_List_Olist(tc_String_Ochar)),X84,X85,X82)
| ~ c_BigStep_Oeval(X88,X86,X83,X85,X82)
| ~ c_BigStep_Oeval(X88,X87,X84,c_Expr_Oexp_OVal(X81,tc_List_Olist(tc_String_Ochar)),X83) ),
inference(variable_rename,[status(thm)],[c_0_633]) ).
fof(c_0_1244,plain,
! [X62,X63,X64,X65,X66,X67] :
( c_DefAss_O_092_060D_062(X62,c_DefAss_OhyperUn(X66,hAPP(c_Option_Ooption_OSome(tc_fun(X67,tc_bool)),c_Set_Oinsert(X64,c_Orderings_Obot__class_Obot(tc_fun(X67,tc_bool)),X67)),X67),X67)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X63,X65,X64,X62,X67),X66,X67) ),
inference(variable_rename,[status(thm)],[c_0_634]) ).
fof(c_0_1245,plain,
! [X61,X62,X63,X64,X65,X66,X67] : c_Map_Omap__upds(X61,c_List_Olist_OCons(X65,X64,X67),c_List_Olist_OCons(X63,X62,X66),X67,X66) = c_Map_Omap__upds(c_Fun_Ofun__upd(X61,X65,hAPP(c_Option_Ooption_OSome(X66),X63),X67,tc_Option_Ooption(X66)),X64,X62,X67,X66),
inference(variable_rename,[status(thm)],[c_0_635]) ).
fof(c_0_1246,plain,
! [X70,X71,X72,X73,X74,X75] : c_Fun_Ofun__upd(c_Fun_Ofun__upd(X73,X72,X71,X75,X74),X72,X70,X75,X74) = c_Fun_Ofun__upd(X73,X72,X70,X75,X74),
inference(variable_rename,[status(thm)],[c_0_636]) ).
fof(c_0_1247,plain,
! [X62,X63,X64,X65,X66,X67] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X63,X65,X64,X62,X67),X66,X67)
| ~ c_DefAss_O_092_060D_062(X62,c_DefAss_OhyperUn(X66,hAPP(c_Option_Ooption_OSome(tc_fun(X67,tc_bool)),c_Set_Oinsert(X64,c_Orderings_Obot__class_Obot(tc_fun(X67,tc_bool)),X67)),X67),X67)
| ~ c_DefAss_O_092_060D_062(X63,X66,X67) ),
inference(variable_rename,[status(thm)],[c_0_637]) ).
fof(c_0_1248,plain,
! [X41,X42,X43,X44,X45,X46] : c_Map_Omap__add(X44,c_Fun_Ofun__upd(X43,X42,hAPP(c_Option_Ooption_OSome(X45),X41),X46,tc_Option_Ooption(X45)),X46,X45) = c_Fun_Ofun__upd(c_Map_Omap__add(X44,X43,X46,X45),X42,hAPP(c_Option_Ooption_OSome(X45),X41),X46,tc_Option_Ooption(X45)),
inference(variable_rename,[status(thm)],[c_0_638]) ).
fof(c_0_1249,plain,
! [X54,X55,X56,X57,X58,X59] : c_Map_Omap__add(X57,c_Map_Omap__upds(X56,X55,X54,X59,X58),X59,X58) = c_Map_Omap__upds(c_Map_Omap__add(X57,X56,X59,X58),X55,X54,X59,X58),
inference(variable_rename,[status(thm)],[c_0_639]) ).
fof(c_0_1250,plain,
! [X43] : c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X43,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X43,
inference(variable_rename,[status(thm)],[c_0_640]) ).
fof(c_0_1251,plain,
! [X45,X46,X47,X48,X49,X50] :
( c_DefAss_O_092_060D_062(X45,c_DefAss_OhyperUn(X49,c_DefAss_O_092_060A_062(X46,X50),X50),X50)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X46,X47,X48,X45,X50),X49,X50) ),
inference(variable_rename,[status(thm)],[c_0_641]) ).
fof(c_0_1252,plain,
! [X41,X42,X43,X44,X45,X46,X47] :
( hAPP(c_Fun_Ofun__upd(X43,X45,hAPP(c_Option_Ooption_OSome(X47),X44),X46,tc_Option_Ooption(X47)),X42) != hAPP(c_Option_Ooption_OSome(X47),X41)
| hAPP(X43,X42) = hAPP(c_Option_Ooption_OSome(X47),X41)
| X42 = X45 ),
inference(variable_rename,[status(thm)],[c_0_642]) ).
fof(c_0_1253,plain,
! [X41,X42,X43,X44,X45,X46,X47] :
( hAPP(c_Fun_Ofun__upd(X43,X45,hAPP(c_Option_Ooption_OSome(X47),X44),X46,tc_Option_Ooption(X47)),X42) != hAPP(c_Option_Ooption_OSome(X47),X41)
| hAPP(X43,X42) = hAPP(c_Option_Ooption_OSome(X47),X41)
| X44 = X41 ),
inference(variable_rename,[status(thm)],[c_0_643]) ).
fof(c_0_1254,plain,
! [X74,X75,X76,X77,X78,X79] :
( X77 = X74
| hAPP(c_Fun_Ofun__upd(X76,X75,hAPP(c_Option_Ooption_OSome(X78),X77),X79,tc_Option_Ooption(X78)),X75) != hAPP(c_Option_Ooption_OSome(X78),X74) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_644])])]) ).
fof(c_0_1255,plain,
! [X29,X30,X31,X32,X33] :
( ~ class_Orderings_Olinorder(X32)
| ~ c_in(X30,hAPP(c_List_Oset(X33),X29),X33)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X31,X30,X29,X33,X32),X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_645])])]) ).
fof(c_0_1256,plain,
! [X63,X64,X65,X66,X67,X68,X69] :
( c_Fun_Ofun__upd(X66,X67,hAPP(c_Option_Ooption_OSome(X68),X64),X69,tc_Option_Ooption(X68)) != c_Fun_Ofun__upd(X65,X67,hAPP(c_Option_Ooption_OSome(X68),X63),X69,tc_Option_Ooption(X68))
| X64 = X63 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_646])])]) ).
fof(c_0_1257,plain,
! [X45,X46,X47,X48,X49,X50] :
( c_DefAss_O_092_060D_062(X46,X49,X50)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X46,X47,X48,X45,X50),X49,X50) ),
inference(variable_rename,[status(thm)],[c_0_647]) ).
fof(c_0_1258,plain,
! [X62,X63,X64,X65,X66,X67] :
( c_DefAss_O_092_060D_062(X63,X66,X67)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X63,X65,X64,X62,X67),X66,X67) ),
inference(variable_rename,[status(thm)],[c_0_648]) ).
fof(c_0_1259,plain,
! [X41,X42,X43,X44,X45,X46] :
( ~ class_Orderings_Olinorder(X45)
| c_List_Olinorder__class_Oinsort__key(X44,X43,c_List_Olist_OCons(X42,X41,X46),X46,X45) = c_List_Olist_OCons(X42,c_List_Olinorder__class_Oinsort__key(X44,X43,X41,X46,X45),X46)
| c_lessequals(hAPP(X44,X43),hAPP(X44,X42),X45) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_649])])]) ).
fof(c_0_1260,plain,
! [X29,X30,X31,X32,X33] :
( ~ class_Orderings_Olinorder(X32)
| c_List_Odistinct(X29,X33)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X31,X30,X29,X33,X32),X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_650])])]) ).
fof(c_0_1261,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( c_Expr_Oexp_OTryCatch(X21,X17,X23,X19,X24) != c_Expr_Oexp_OTryCatch(X20,X16,X22,X18,X24)
| X21 = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_651])])]) ).
fof(c_0_1262,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( c_Expr_Oexp_OTryCatch(X21,X17,X23,X19,X24) != c_Expr_Oexp_OTryCatch(X20,X16,X22,X18,X24)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_652])])]) ).
fof(c_0_1263,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( c_Expr_Oexp_OTryCatch(X21,X17,X23,X19,X24) != c_Expr_Oexp_OTryCatch(X20,X16,X22,X18,X24)
| X23 = X22 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_653])])]) ).
fof(c_0_1264,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( c_Expr_Oexp_OTryCatch(X21,X17,X23,X19,X24) != c_Expr_Oexp_OTryCatch(X20,X16,X22,X18,X24)
| X19 = X18 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_654])])]) ).
fof(c_0_1265,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( c_Expr_Oexp_OFAss(X26,X22,X20,X24,X27) != c_Expr_Oexp_OFAss(X25,X21,X19,X23,X27)
| X26 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_655])])]) ).
fof(c_0_1266,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( c_Expr_Oexp_OFAss(X26,X22,X20,X24,X27) != c_Expr_Oexp_OFAss(X25,X21,X19,X23,X27)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_656])])]) ).
fof(c_0_1267,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( c_Expr_Oexp_OFAss(X26,X22,X20,X24,X27) != c_Expr_Oexp_OFAss(X25,X21,X19,X23,X27)
| X20 = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_657])])]) ).
fof(c_0_1268,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( c_Expr_Oexp_OFAss(X26,X22,X20,X24,X27) != c_Expr_Oexp_OFAss(X25,X21,X19,X23,X27)
| X24 = X23 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_658])])]) ).
fof(c_0_1269,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OFAss(X19,X15,X14,X17,X21) != c_Expr_Oexp_OTryCatch(X18,X13,X20,X16,X21),
inference(variable_rename,[status(thm)],[c_0_659]) ).
fof(c_0_1270,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OTryCatch(X18,X13,X20,X16,X21) != c_Expr_Oexp_OFAss(X19,X15,X14,X17,X21),
inference(variable_rename,[status(thm)],[c_0_660]) ).
fof(c_0_1271,plain,
! [X45,X46,X47,X48,X49,X50] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X46,X47,X48,X45,X50),X49,X50)
| ~ c_DefAss_O_092_060D_062(X45,c_DefAss_OhyperUn(X49,c_DefAss_O_092_060A_062(X46,X50),X50),X50)
| ~ c_DefAss_O_092_060D_062(X46,X49,X50) ),
inference(variable_rename,[status(thm)],[c_0_661]) ).
fof(c_0_1272,plain,
! [X41,X42,X43,X44,X45,X46,X47] :
( hAPP(X43,X42) != hAPP(c_Option_Ooption_OSome(X47),X41)
| X42 = X45
| hAPP(c_Fun_Ofun__upd(X43,X45,hAPP(c_Option_Ooption_OSome(X47),X44),X46,tc_Option_Ooption(X47)),X42) = hAPP(c_Option_Ooption_OSome(X47),X41) ),
inference(variable_rename,[status(thm)],[c_0_662]) ).
fof(c_0_1273,plain,
! [X38,X39,X40,X41,X42,X43] :
( c_Nat_Osize__class_Osize(X40,tc_List_Olist(X43)) != c_Nat_Osize__class_Osize(X39,tc_List_Olist(X42))
| c_Map_Omap__upds(X41,X40,c_List_Oappend(X39,X38,X42),X43,X42) = c_Map_Omap__upds(X41,X40,X39,X43,X42) ),
inference(variable_rename,[status(thm)],[c_0_663]) ).
fof(c_0_1274,plain,
! [X38,X39,X40,X41,X42,X43] :
( c_Nat_Osize__class_Osize(X40,tc_List_Olist(X43)) != c_Nat_Osize__class_Osize(X39,tc_List_Olist(X42))
| c_Map_Omap__upds(X41,c_List_Oappend(X40,X38,X43),X39,X43,X42) = c_Map_Omap__upds(X41,X40,X39,X43,X42) ),
inference(variable_rename,[status(thm)],[c_0_664]) ).
fof(c_0_1275,plain,
! [X29,X30,X31,X32,X33] :
( ~ class_Orderings_Olinorder(X32)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X31,X30,X29,X33,X32),X33)
| ~ c_List_Odistinct(X29,X33)
| c_in(X30,hAPP(c_List_Oset(X33),X29),X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_665])])]) ).
fof(c_0_1276,plain,
! [X74,X75,X76,X77,X78] : hAPP(c_Fun_Ofun__upd(X76,X74,hAPP(c_Option_Ooption_OSome(X78),X75),X77,tc_Option_Ooption(X78)),X74) = hAPP(c_Option_Ooption_OSome(X78),X75),
inference(variable_rename,[status(thm)],[c_0_666]) ).
fof(c_0_1277,plain,
! [X33,X34,X35,X36,X37,X38] :
( hAPP(c_Map_Omap__upds(X36,X34,X33,X38,X37),X35) = hAPP(X36,X35)
| c_in(X35,hAPP(c_List_Oset(X38),X34),X38) ),
inference(variable_rename,[status(thm)],[c_0_667]) ).
fof(c_0_1278,plain,
! [X45,X46,X47,X48,X49] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAss(X46,X47,X48,X45,X49),X49) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X46,X49),c_DefAss_O_092_060A_062(X45,X49),X49),
inference(variable_rename,[status(thm)],[c_0_668]) ).
fof(c_0_1279,plain,
! [X29,X30,X31,X32,X33] :
( ~ class_Orderings_Olinorder(X32)
| hAPP(c_List_Oset(X33),c_List_Olinorder__class_Oinsort__key(X31,X30,X29,X33,X32)) = c_Set_Oinsert(X30,hAPP(c_List_Oset(X33),X29),X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_669])])]) ).
fof(c_0_1280,plain,
! [X35,X36,X37,X38,X39,X40] :
( hAPP(c_Fun_Ooverride__on(X36,X35,X38,X40,X39),X37) = hAPP(X35,X37)
| ~ c_in(X37,X38,X40) ),
inference(variable_rename,[status(thm)],[c_0_670]) ).
fof(c_0_1281,plain,
! [X35,X36,X37,X38,X39,X40] :
( hAPP(c_Fun_Ooverride__on(X36,X35,X38,X40,X39),X37) = hAPP(X36,X37)
| c_in(X37,X38,X40) ),
inference(variable_rename,[status(thm)],[c_0_671]) ).
fof(c_0_1282,plain,
! [X72,X73,X74,X75,X76] :
( c_in(c_Pair(X75,X73,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76))
| ~ c_in(c_Pair(X74,X73,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76))
| ~ c_in(c_Pair(X75,X74,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76)) ),
inference(variable_rename,[status(thm)],[c_0_672]) ).
fof(c_0_1283,plain,
! [X29,X30,X31,X32,X33] :
( ~ class_Orderings_Olinorder(X32)
| c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X31,X30,X29,X33,X32),tc_List_Olist(X33)) = c_Suc(c_Nat_Osize__class_Osize(X29,tc_List_Olist(X33))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_673])])]) ).
fof(c_0_1284,plain,
! [X72,X73,X74,X75,X76] :
( c_in(c_Pair(X75,X73,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76))
| ~ c_in(c_Pair(X74,X73,X76,X76),X72,tc_prod(X76,X76))
| ~ c_in(c_Pair(X75,X74,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76)) ),
inference(variable_rename,[status(thm)],[c_0_674]) ).
fof(c_0_1285,plain,
! [X72,X73,X74,X75,X76] :
( c_in(c_Pair(X75,X73,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76))
| ~ c_in(c_Pair(X74,X73,X76,X76),c_Transitive__Closure_Ortrancl(X72,X76),tc_prod(X76,X76))
| ~ c_in(c_Pair(X75,X74,X76,X76),X72,tc_prod(X76,X76)) ),
inference(variable_rename,[status(thm)],[c_0_675]) ).
fof(c_0_1286,plain,
! [X70,X71,X72,X73,X74,X75] :
( hAPP(c_Fun_Ofun__upd(X73,X72,X71,X75,X74),X70) = hAPP(X73,X70)
| X70 = X72 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_676])])]) ).
fof(c_0_1287,plain,
! [X70,X71,X72,X73,X74,X75] :
( hAPP(c_Fun_Ofun__upd(X73,X72,X71,X74,X75),X70) = hAPP(X73,X70)
| X70 = X72 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_677])])]) ).
fof(c_0_1288,plain,
! [X74,X75,X76,X77,X78] : hAPP(c_Fun_Ofun__upd(X76,X75,X74,X78,X77),X75) = X74,
inference(variable_rename,[status(thm)],[c_0_678]) ).
fof(c_0_1289,plain,
! [X41,X42,X43,X44,X45] : hAPP(c_Fun_Ofun__upd(X43,X42,X41,X44,X45),X42) = X41,
inference(variable_rename,[status(thm)],[c_0_679]) ).
fof(c_0_1290,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22] : c_Expr_Oexp_OBlock(X21,X15,X19,X22) != c_Expr_Oexp_OTryCatch(X18,X16,X20,X17,X22),
inference(variable_rename,[status(thm)],[c_0_680]) ).
fof(c_0_1291,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OCall(X18,X15,X14,X20) != c_Expr_Oexp_OTryCatch(X17,X13,X19,X16,X20),
inference(variable_rename,[status(thm)],[c_0_681]) ).
fof(c_0_1292,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26] : c_Expr_Oexp_OFAcc(X25,X22,X20,X26) != c_Expr_Oexp_OFAss(X24,X21,X19,X23,X26),
inference(variable_rename,[status(thm)],[c_0_682]) ).
fof(c_0_1293,plain,
! [X36,X37,X38,X39,X40,X41,X42,X43] : c_Expr_Oexp_OFAss(X40,X37,X36,X38,X43) != c_Expr_Oexp_OBinOp(X41,X42,X39,X43),
inference(variable_rename,[status(thm)],[c_0_683]) ).
fof(c_0_1294,plain,
! [X36,X37,X38,X39,X40,X41,X42,X43] : c_Expr_Oexp_OBinOp(X40,X41,X38,X43) != c_Expr_Oexp_OTryCatch(X39,X36,X42,X37,X43),
inference(variable_rename,[status(thm)],[c_0_684]) ).
fof(c_0_1295,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26] : c_Expr_Oexp_OCall(X23,X21,X19,X26) != c_Expr_Oexp_OFAss(X25,X22,X20,X24,X26),
inference(variable_rename,[status(thm)],[c_0_685]) ).
fof(c_0_1296,plain,
! [X10,X11,X12,X13,X14,X15,X16,X17] : c_Expr_Oexp_OFAss(X16,X11,X10,X14,X17) != c_Expr_Oexp_OCond(X15,X13,X12,X17),
inference(variable_rename,[status(thm)],[c_0_686]) ).
fof(c_0_1297,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30] : c_Expr_Oexp_OTryCatch(X27,X23,X29,X25,X30) != c_Expr_Oexp_OCond(X28,X26,X24,X30),
inference(variable_rename,[status(thm)],[c_0_687]) ).
fof(c_0_1298,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22] : c_Expr_Oexp_OTryCatch(X18,X16,X20,X17,X22) != c_Expr_Oexp_OBlock(X21,X15,X19,X22),
inference(variable_rename,[status(thm)],[c_0_688]) ).
fof(c_0_1299,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26] : c_Expr_Oexp_OFAss(X25,X22,X20,X24,X26) != c_Expr_Oexp_OCall(X23,X21,X19,X26),
inference(variable_rename,[status(thm)],[c_0_689]) ).
fof(c_0_1300,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26] : c_Expr_Oexp_OFAss(X24,X21,X19,X23,X26) != c_Expr_Oexp_OFAcc(X25,X22,X20,X26),
inference(variable_rename,[status(thm)],[c_0_690]) ).
fof(c_0_1301,plain,
! [X36,X37,X38,X39,X40,X41,X42,X43] : c_Expr_Oexp_OTryCatch(X39,X36,X42,X37,X43) != c_Expr_Oexp_OBinOp(X40,X41,X38,X43),
inference(variable_rename,[status(thm)],[c_0_691]) ).
fof(c_0_1302,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OFAss(X39,X36,X35,X38,X41) != c_Expr_Oexp_OBlock(X40,X34,X37,X41),
inference(variable_rename,[status(thm)],[c_0_692]) ).
fof(c_0_1303,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30] : c_Expr_Oexp_OCond(X28,X26,X24,X30) != c_Expr_Oexp_OTryCatch(X27,X23,X29,X25,X30),
inference(variable_rename,[status(thm)],[c_0_693]) ).
fof(c_0_1304,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OBlock(X40,X34,X37,X41) != c_Expr_Oexp_OFAss(X39,X36,X35,X38,X41),
inference(variable_rename,[status(thm)],[c_0_694]) ).
fof(c_0_1305,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OFAcc(X18,X15,X14,X20) != c_Expr_Oexp_OTryCatch(X17,X13,X19,X16,X20),
inference(variable_rename,[status(thm)],[c_0_695]) ).
fof(c_0_1306,plain,
! [X36,X37,X38,X39,X40,X41,X42,X43] : c_Expr_Oexp_OBinOp(X41,X42,X39,X43) != c_Expr_Oexp_OFAss(X40,X37,X36,X38,X43),
inference(variable_rename,[status(thm)],[c_0_696]) ).
fof(c_0_1307,plain,
! [X10,X11,X12,X13,X14,X15,X16,X17] : c_Expr_Oexp_OCond(X15,X13,X12,X17) != c_Expr_Oexp_OFAss(X16,X11,X10,X14,X17),
inference(variable_rename,[status(thm)],[c_0_697]) ).
fof(c_0_1308,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OTryCatch(X17,X13,X19,X16,X20) != c_Expr_Oexp_OCall(X18,X15,X14,X20),
inference(variable_rename,[status(thm)],[c_0_698]) ).
fof(c_0_1309,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OTryCatch(X17,X13,X19,X16,X20) != c_Expr_Oexp_OFAcc(X18,X15,X14,X20),
inference(variable_rename,[status(thm)],[c_0_699]) ).
fof(c_0_1310,plain,
! [X13,X14,X15,X16,X17,X18,X19] : c_Expr_Oexp_OSeq(X17,X15,X19) != c_Expr_Oexp_OTryCatch(X16,X13,X18,X14,X19),
inference(variable_rename,[status(thm)],[c_0_700]) ).
fof(c_0_1311,plain,
! [X13,X14,X15,X16,X17,X18,X19] : c_Expr_Oexp_OTryCatch(X16,X13,X18,X14,X19) != c_Expr_Oexp_OSeq(X17,X15,X19),
inference(variable_rename,[status(thm)],[c_0_701]) ).
fof(c_0_1312,plain,
! [X15,X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OTryCatch(X17,X15,X19,X16,X21) != c_Expr_Oexp_OLAss(X20,X18,X21),
inference(variable_rename,[status(thm)],[c_0_702]) ).
fof(c_0_1313,plain,
! [X10,X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OFAss(X15,X11,X10,X13,X16) != c_Expr_Oexp_OWhile(X14,X12,X16),
inference(variable_rename,[status(thm)],[c_0_703]) ).
fof(c_0_1314,plain,
! [X10,X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OWhile(X14,X12,X16) != c_Expr_Oexp_OFAss(X15,X11,X10,X13,X16),
inference(variable_rename,[status(thm)],[c_0_704]) ).
fof(c_0_1315,plain,
! [X15,X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OLAss(X20,X18,X21) != c_Expr_Oexp_OTryCatch(X17,X15,X19,X16,X21),
inference(variable_rename,[status(thm)],[c_0_705]) ).
fof(c_0_1316,plain,
! [X10,X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OSeq(X14,X12,X16) != c_Expr_Oexp_OFAss(X15,X11,X10,X13,X16),
inference(variable_rename,[status(thm)],[c_0_706]) ).
fof(c_0_1317,plain,
! [X13,X14,X15,X16,X17,X18,X19] : c_Expr_Oexp_OWhile(X17,X15,X19) != c_Expr_Oexp_OTryCatch(X16,X13,X18,X14,X19),
inference(variable_rename,[status(thm)],[c_0_707]) ).
fof(c_0_1318,plain,
! [X19,X20,X21,X22,X23,X24,X25] : c_Expr_Oexp_OFAss(X23,X20,X19,X22,X25) != c_Expr_Oexp_OCast(X21,X24,X25),
inference(variable_rename,[status(thm)],[c_0_708]) ).
fof(c_0_1319,plain,
! [X16,X17,X18,X19,X20,X21,X22] : c_Expr_Oexp_OCast(X17,X20,X22) != c_Expr_Oexp_OTryCatch(X19,X16,X21,X18,X22),
inference(variable_rename,[status(thm)],[c_0_709]) ).
fof(c_0_1320,plain,
! [X10,X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OFAss(X15,X11,X10,X13,X16) != c_Expr_Oexp_OSeq(X14,X12,X16),
inference(variable_rename,[status(thm)],[c_0_710]) ).
fof(c_0_1321,plain,
! [X19,X20,X21,X22,X23,X24,X25] : c_Expr_Oexp_OFAss(X22,X20,X19,X21,X25) != c_Expr_Oexp_OLAss(X24,X23,X25),
inference(variable_rename,[status(thm)],[c_0_711]) ).
fof(c_0_1322,plain,
! [X13,X14,X15,X16,X17,X18,X19] : c_Expr_Oexp_OTryCatch(X16,X13,X18,X14,X19) != c_Expr_Oexp_OWhile(X17,X15,X19),
inference(variable_rename,[status(thm)],[c_0_712]) ).
fof(c_0_1323,plain,
! [X19,X20,X21,X22,X23,X24,X25] : c_Expr_Oexp_OLAss(X24,X23,X25) != c_Expr_Oexp_OFAss(X22,X20,X19,X21,X25),
inference(variable_rename,[status(thm)],[c_0_713]) ).
fof(c_0_1324,plain,
! [X16,X17,X18,X19,X20,X21,X22] : c_Expr_Oexp_OTryCatch(X19,X16,X21,X18,X22) != c_Expr_Oexp_OCast(X17,X20,X22),
inference(variable_rename,[status(thm)],[c_0_714]) ).
fof(c_0_1325,plain,
! [X19,X20,X21,X22,X23,X24,X25] : c_Expr_Oexp_OCast(X21,X24,X25) != c_Expr_Oexp_OFAss(X23,X20,X19,X22,X25),
inference(variable_rename,[status(thm)],[c_0_715]) ).
fof(c_0_1326,plain,
! [X26,X27,X28,X29] : c_DefAss_OhyperUn(X28,c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X29,tc_bool)),c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29)),X27,X29),X29) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X29,tc_bool)),c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29)),c_DefAss_OhyperUn(X28,X27,X29),X29),
inference(variable_rename,[status(thm)],[c_0_716]) ).
fof(c_0_1327,plain,
! [X50,X51,X52,X53,X54] :
( X53 = c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X54,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X52,X53,X51) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_717])])]) ).
fof(c_0_1328,plain,
! [X50,X51,X52,X53,X54] :
( X51 = X52
| ~ c_BigStep_Oeval(X54,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X52,X53,X51) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_718])])]) ).
fof(c_0_1329,plain,
! [X30,X31,X32,X33,X34,X35] : c_Expr_Oexp_OVal(X30,X35) != c_Expr_Oexp_OFAss(X34,X32,X31,X33,X35),
inference(variable_rename,[status(thm)],[c_0_719]) ).
fof(c_0_1330,plain,
! [X30,X31,X32,X33,X34,X35] : c_Expr_Oexp_OVal(X30,X35) != c_Expr_Oexp_OTryCatch(X33,X31,X34,X32,X35),
inference(variable_rename,[status(thm)],[c_0_720]) ).
fof(c_0_1331,plain,
! [X7,X8,X9,X10,X11,X12] : c_Expr_Oexp_OFAss(X11,X8,X7,X10,X12) != c_Expr_Oexp_Othrow(X9,X12),
inference(variable_rename,[status(thm)],[c_0_721]) ).
fof(c_0_1332,plain,
! [X30,X31,X32,X33,X34,X35] : c_Expr_Oexp_OTryCatch(X33,X31,X34,X32,X35) != c_Expr_Oexp_OVal(X30,X35),
inference(variable_rename,[status(thm)],[c_0_722]) ).
fof(c_0_1333,plain,
! [X13,X14,X15,X16,X17,X18] : c_Expr_Oexp_OTryCatch(X15,X13,X17,X14,X18) != c_Expr_Oexp_Othrow(X16,X18),
inference(variable_rename,[status(thm)],[c_0_723]) ).
fof(c_0_1334,plain,
! [X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_Onew(X17,X21) != c_Expr_Oexp_OTryCatch(X19,X16,X20,X18,X21),
inference(variable_rename,[status(thm)],[c_0_724]) ).
fof(c_0_1335,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OFAss(X23,X20,X19,X22,X24) != c_Expr_Oexp_Onew(X21,X24),
inference(variable_rename,[status(thm)],[c_0_725]) ).
fof(c_0_1336,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_Onew(X21,X24) != c_Expr_Oexp_OFAss(X23,X20,X19,X22,X24),
inference(variable_rename,[status(thm)],[c_0_726]) ).
fof(c_0_1337,plain,
! [X7,X8,X9,X10,X11,X12] : c_Expr_Oexp_Othrow(X9,X12) != c_Expr_Oexp_OFAss(X11,X8,X7,X10,X12),
inference(variable_rename,[status(thm)],[c_0_727]) ).
fof(c_0_1338,plain,
! [X13,X14,X15,X16,X17,X18] : c_Expr_Oexp_Othrow(X16,X18) != c_Expr_Oexp_OTryCatch(X15,X13,X17,X14,X18),
inference(variable_rename,[status(thm)],[c_0_728]) ).
fof(c_0_1339,plain,
! [X30,X31,X32,X33,X34,X35] : c_Expr_Oexp_OFAss(X34,X32,X31,X33,X35) != c_Expr_Oexp_OVal(X30,X35),
inference(variable_rename,[status(thm)],[c_0_729]) ).
fof(c_0_1340,plain,
! [X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OTryCatch(X19,X16,X20,X18,X21) != c_Expr_Oexp_Onew(X17,X21),
inference(variable_rename,[status(thm)],[c_0_730]) ).
fof(c_0_1341,plain,
! [X50,X51,X52,X53,X54] :
( c_BigStep_Ofinal(X52,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X54,X53,X51,X52,X50) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_731])])]) ).
fof(c_0_1342,plain,
! [X41,X42,X43,X44,X45] :
( c_Fun_Ofun__upd(X43,X42,X41,X45,X44) != X43
| hAPP(X43,X42) = X41 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_732])])]) ).
fof(c_0_1343,plain,
! [X41,X42,X43,X44,X45,X46] :
( ~ class_Orderings_Olinorder(X45)
| c_List_Olinorder__class_Oinsort__key(X44,X43,c_List_Olist_OCons(X42,X41,X46),X46,X45) = c_List_Olist_OCons(X43,c_List_Olist_OCons(X42,X41,X46),X46)
| ~ c_lessequals(hAPP(X44,X43),hAPP(X44,X42),X45) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_733])])]) ).
fof(c_0_1344,plain,
! [X54,X55,X56,X57,X58] : c_Map_Omap__add(X56,c_Map_Omap__add(X55,X54,X58,X57),X58,X57) = c_Map_Omap__add(c_Map_Omap__add(X56,X55,X58,X57),X54,X58,X57),
inference(variable_rename,[status(thm)],[c_0_734]) ).
fof(c_0_1345,plain,
! [X26,X27,X28,X29,X30,X31] :
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X29,X28,X31,tc_fun(X30,tc_bool)),X26))
| ~ hBOOL(hAPP(hAPP(X28,X27),X26))
| ~ c_in(X27,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_735]) ).
fof(c_0_1346,plain,
! [X28,X29,X30,X31,X32,X33] :
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X31,X30,X33,tc_fun(X32,tc_bool)),X29))
| ~ hBOOL(hAPP(hAPP(X30,X28),X29))
| ~ c_in(X28,X31,X33) ),
inference(variable_rename,[status(thm)],[c_0_736]) ).
fof(c_0_1347,plain,
! [X43,X44,X45,X46,X47] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X45,X44,X43,X47),X46,X47)
| ~ c_DefAss_O_092_060D_062(X43,c_DefAss_OhyperUn(X46,c_DefAss_O_092_060A_062(X45,X47),X47),X47)
| ~ c_DefAss_O_092_060D_062(X44,c_DefAss_OhyperUn(X46,c_DefAss_O_092_060A_062(X45,X47),X47),X47)
| ~ c_DefAss_O_092_060D_062(X45,X46,X47) ),
inference(variable_rename,[status(thm)],[c_0_737]) ).
fof(c_0_1348,plain,
! [X85,X86,X87,X88,X89] :
( hAPP(X86,X87) != hAPP(c_Option_Ooption_OSome(X89),X85)
| c_Fun_Ofun__upd(X86,X87,hAPP(c_Option_Ooption_OSome(X89),X85),X88,tc_Option_Ooption(X89)) = X86 ),
inference(variable_rename,[status(thm)],[c_0_738]) ).
fof(c_0_1349,plain,
! [X28,X29,X30,X31] :
( ~ class_Orderings_Olinorder(X30)
| c_List_Olinorder__class_Oinsort__key(X29,X28,c_List_Olist_ONil(X31),X31,X30) = c_List_Olist_OCons(X28,c_List_Olist_ONil(X31),X31) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_739])])]) ).
fof(c_0_1350,plain,
! [X50,X51,X52] : c_BigStep_Oeval(X52,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X51,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X51),
inference(variable_rename,[status(thm)],[c_0_740]) ).
fof(c_0_1351,plain,
! [X35,X36,X37,X38] : c_Fun_Ooverride__on(X36,X35,c_Orderings_Obot__class_Obot(tc_fun(X38,tc_bool)),X38,X37) = X36,
inference(variable_rename,[status(thm)],[c_0_741]) ).
fof(c_0_1352,plain,
! [X57,X58,X59,X60,X61] : c_Option_Ooption_Ooption__case(X58,X57,hAPP(c_Option_Ooption_OSome(X60),X59),X61,X60) = hAPP(X57,X59),
inference(variable_rename,[status(thm)],[c_0_742]) ).
fof(c_0_1353,plain,
! [X50,X51,X52] :
( c_BigStep_Oeval(X52,X51,X50,X51,X50)
| ~ c_BigStep_Ofinal(X51,tc_List_Olist(tc_String_Ochar)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_743])])]) ).
fof(c_0_1354,plain,
! [X74,X75,X76,X77] : c_Fun_Ofun__upd(X75,X74,hAPP(X75,X74),X76,X77) = X75,
inference(variable_rename,[status(thm)],[c_0_744]) ).
fof(c_0_1355,plain,
! [X28,X29,X30,X31] : c_Fun_Ofun__upd(X29,X28,hAPP(X29,X28),X31,X30) = X29,
inference(variable_rename,[status(thm)],[c_0_745]) ).
fof(c_0_1356,plain,
! [X28,X29,X30,X31] : c_Fun_Ofun__upd(X29,X28,hAPP(X29,X28),X30,X31) = X29,
inference(variable_rename,[status(thm)],[c_0_746]) ).
fof(c_0_1357,plain,
! [X21,X22,X23] : c_DefAss_OhyperUn(X22,hAPP(c_Option_Ooption_OSome(tc_fun(X23,tc_bool)),c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)),X23)),X23) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X23,tc_bool)),c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)),X23)),X22,X23),
inference(variable_rename,[status(thm)],[c_0_747]) ).
fof(c_0_1358,plain,
! [X60,X61,X62,X63] : c_Map_Omap__upds(X60,c_List_Olist_ONil(X63),X61,X63,X62) = X60,
inference(variable_rename,[status(thm)],[c_0_748]) ).
fof(c_0_1359,plain,
! [X61,X62,X63,X64] : c_Map_Omap__upds(X61,X62,c_List_Olist_ONil(X63),X64,X63) = X61,
inference(variable_rename,[status(thm)],[c_0_749]) ).
fof(c_0_1360,plain,
! [X57,X58,X59,X60] : c_Option_Ooption_Ooption__case(X58,X57,c_Option_Ooption_ONone(X59),X60,X59) = X58,
inference(variable_rename,[status(thm)],[c_0_750]) ).
fof(c_0_1361,plain,
! [X42,X43,X44,X45,X46,X47] :
( c_lessequals(hAPP(X45,X42),X44,tc_fun(X47,tc_bool))
| ~ c_in(X42,X43,X46)
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X43,X45,X46,tc_fun(X47,tc_bool)),X44,tc_fun(X47,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_751]) ).
fof(c_0_1362,plain,
! [X40,X41,X42,X43,X44] :
( c_DefAss_O_092_060D_062(X40,c_DefAss_OhyperUn(X43,c_DefAss_O_092_060A_062(X41,X44),X44),X44)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X41,X42,X40,X44),X43,X44) ),
inference(variable_rename,[status(thm)],[c_0_752]) ).
fof(c_0_1363,plain,
! [X43,X44,X45,X46,X47] :
( c_DefAss_O_092_060D_062(X43,c_DefAss_OhyperUn(X46,c_DefAss_O_092_060A_062(X45,X47),X47),X47)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X45,X44,X43,X47),X46,X47) ),
inference(variable_rename,[status(thm)],[c_0_753]) ).
fof(c_0_1364,plain,
! [X43,X44,X45,X46,X47] :
( c_DefAss_O_092_060D_062(X44,c_DefAss_OhyperUn(X46,c_DefAss_O_092_060A_062(X45,X47),X47),X47)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X45,X44,X43,X47),X46,X47) ),
inference(variable_rename,[status(thm)],[c_0_754]) ).
fof(c_0_1365,plain,
! [X40,X41,X42,X43,X44] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X41,X42,X40,X44),X43,X44)
| ~ c_DefAss_O_092_060D_062(X40,c_DefAss_OhyperUn(X43,c_DefAss_O_092_060A_062(X41,X44),X44),X44)
| ~ c_DefAss_O_092_060D_062(X41,X43,X44) ),
inference(variable_rename,[status(thm)],[c_0_755]) ).
fof(c_0_1366,plain,
! [X43,X44,X45,X46,X47] :
( c_DefAss_O_092_060D_062(X45,X46,X47)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X45,X44,X43,X47),X46,X47) ),
inference(variable_rename,[status(thm)],[c_0_756]) ).
fof(c_0_1367,plain,
! [X40,X41,X42,X43,X44] :
( c_DefAss_O_092_060D_062(X41,X43,X44)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X41,X42,X40,X44),X43,X44) ),
inference(variable_rename,[status(thm)],[c_0_757]) ).
fof(c_0_1368,plain,
! [X45,X46,X47,X48,X49] :
( c_DefAss_O_092_060D_062(X45,X48,X49)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X45,X46,X47,X49),X48,X49) ),
inference(variable_rename,[status(thm)],[c_0_758]) ).
fof(c_0_1369,plain,
! [X98,X99,X100,X101,X102] :
( c_DefAss_O_092_060D_062(X99,X101,X102)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X99,X100,X98,X102),X101,X102) ),
inference(variable_rename,[status(thm)],[c_0_759]) ).
fof(c_0_1370,plain,
! [X64,X65,X66,X67,X68,X69] :
( hAPP(c_Map_Omap__add(X66,X65,X68,X69),X67) != hAPP(c_Option_Ooption_OSome(X69),X64)
| hAPP(X66,X67) = hAPP(c_Option_Ooption_OSome(X69),X64)
| hAPP(X65,X67) = hAPP(c_Option_Ooption_OSome(X69),X64) ),
inference(variable_rename,[status(thm)],[c_0_760]) ).
fof(c_0_1371,plain,
! [X64,X65,X66,X67,X68,X69] :
( hAPP(c_Map_Omap__add(X66,X65,X68,X69),X67) != hAPP(c_Option_Ooption_OSome(X69),X64)
| hAPP(X65,X67) = c_Option_Ooption_ONone(X69)
| hAPP(X65,X67) = hAPP(c_Option_Ooption_OSome(X69),X64) ),
inference(variable_rename,[status(thm)],[c_0_761]) ).
fof(c_0_1372,plain,
! [X68,X69,X70,X71,X72] :
( c_Set_Oinsert(X71,c_Set_Oinsert(X70,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72) != c_Set_Oinsert(X69,c_Set_Oinsert(X68,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72)
| X70 = X69
| X70 = X68 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_762])])]) ).
fof(c_0_1373,plain,
! [X68,X69,X70,X71,X72] :
( c_Set_Oinsert(X71,c_Set_Oinsert(X70,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72) != c_Set_Oinsert(X69,c_Set_Oinsert(X68,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72)
| X71 = X68
| X70 = X68 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_763])])]) ).
fof(c_0_1374,plain,
! [X68,X69,X70,X71,X72] :
( c_Set_Oinsert(X71,c_Set_Oinsert(X70,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72) != c_Set_Oinsert(X69,c_Set_Oinsert(X68,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72)
| X70 = X69
| X71 = X69 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_764])])]) ).
fof(c_0_1375,plain,
! [X68,X69,X70,X71,X72] :
( c_Set_Oinsert(X71,c_Set_Oinsert(X70,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72) != c_Set_Oinsert(X69,c_Set_Oinsert(X68,c_Orderings_Obot__class_Obot(tc_fun(X72,tc_bool)),X72),X72)
| X71 = X68
| X71 = X69 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_765])])]) ).
fof(c_0_1376,plain,
! [X84,X85,X86,X87] :
( c_in(X86,hAPP(c_List_Oset(X87),c_List_Oappend(X85,c_List_Olist_OCons(X86,X84,X87),X87)),X87)
| c_in(X86,hAPP(c_List_Oset(X87),X84),X87) ),
inference(variable_rename,[status(thm)],[c_0_766]) ).
fof(c_0_1377,plain,
! [X84,X85,X86,X87] :
( c_in(X86,hAPP(c_List_Oset(X87),c_List_Oappend(X85,c_List_Olist_OCons(X86,X84,X87),X87)),X87)
| c_in(X86,hAPP(c_List_Oset(X87),X85),X87) ),
inference(variable_rename,[status(thm)],[c_0_767]) ).
fof(c_0_1378,plain,
! [X64,X65,X66,X67,X68] :
( hAPP(c_Map_Omap__add(X65,X64,X67,X68),X66) != c_Option_Ooption_ONone(X68)
| hAPP(X64,X66) = c_Option_Ooption_ONone(X68) ),
inference(variable_rename,[status(thm)],[c_0_768]) ).
fof(c_0_1379,plain,
! [X64,X65,X66,X67,X68] :
( hAPP(c_Map_Omap__add(X65,X64,X67,X68),X66) != c_Option_Ooption_ONone(X68)
| hAPP(X65,X66) = c_Option_Ooption_ONone(X68) ),
inference(variable_rename,[status(thm)],[c_0_769]) ).
fof(c_0_1380,plain,
! [X26,X27,X28,X29,X30,X31] :
( c_in(X26,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X29,X28,X31,tc_fun(X30,tc_bool)),X30)
| ~ c_in(X26,hAPP(X28,X27),X30)
| ~ c_in(X27,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_770]) ).
fof(c_0_1381,plain,
! [X28,X29,X30,X31,X32,X33] :
( c_in(X29,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X31,X30,X32,tc_fun(X33,tc_bool)),X33)
| ~ c_in(X29,hAPP(X30,X28),X33)
| ~ c_in(X28,X31,X32) ),
inference(variable_rename,[status(thm)],[c_0_771]) ).
fof(c_0_1382,plain,
! [X22,X23,X24,X25,X26] :
( c_Fun_Oinj__on(X22,X24,X26,X25)
| ~ c_Fun_Oinj__on(X22,c_Set_Oinsert(X23,X24,X26),X26,X25) ),
inference(variable_rename,[status(thm)],[c_0_772]) ).
fof(c_0_1383,plain,
! [X26,X27,X28,X29] : c_Set_Oinsert(X26,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool)),X27,X28,tc_fun(X29,tc_bool)),X29) = c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),
inference(variable_rename,[status(thm)],[c_0_773]) ).
fof(c_0_1384,plain,
! [X33,X34,X35,X36] :
( c_in(X35,hAPP(c_List_Oset(X36),c_List_Obutlast(c_List_Oappend(X34,X33,X36),X36)),X36)
| ~ c_in(X35,hAPP(c_List_Oset(X36),c_List_Obutlast(X34,X36)),X36) ),
inference(variable_rename,[status(thm)],[c_0_774]) ).
fof(c_0_1385,plain,
! [X33,X34,X35,X36] :
( c_in(X35,hAPP(c_List_Oset(X36),c_List_Obutlast(c_List_Oappend(X34,X33,X36),X36)),X36)
| ~ c_in(X35,hAPP(c_List_Oset(X36),c_List_Obutlast(X33,X36)),X36) ),
inference(variable_rename,[status(thm)],[c_0_775]) ).
fof(c_0_1386,plain,
! [X102,X103,X104,X105,X106,X107] :
( c_Pair(X105,X103,X107,X106) != c_Pair(X104,X102,X107,X106)
| X105 = X104 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_776])])]) ).
fof(c_0_1387,plain,
! [X102,X103,X104,X105,X106,X107] :
( c_Pair(X105,X103,X107,X106) != c_Pair(X104,X102,X107,X106)
| X103 = X102 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_777])])]) ).
fof(c_0_1388,plain,
! [X36,X37,X38,X39,X40,X41,X42] :
( c_Expr_Oexp_OBinOp(X39,X41,X37,X42) != c_Expr_Oexp_OBinOp(X38,X40,X36,X42)
| X39 = X38 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_778])])]) ).
fof(c_0_1389,plain,
! [X36,X37,X38,X39,X40,X41,X42] :
( c_Expr_Oexp_OBinOp(X39,X41,X37,X42) != c_Expr_Oexp_OBinOp(X38,X40,X36,X42)
| X41 = X40 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_779])])]) ).
fof(c_0_1390,plain,
! [X36,X37,X38,X39,X40,X41,X42] :
( c_Expr_Oexp_OBinOp(X39,X41,X37,X42) != c_Expr_Oexp_OBinOp(X38,X40,X36,X42)
| X37 = X36 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_780])])]) ).
fof(c_0_1391,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( c_Expr_Oexp_OCond(X28,X26,X24,X29) != c_Expr_Oexp_OCond(X27,X25,X23,X29)
| X28 = X27 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_781])])]) ).
fof(c_0_1392,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( c_Expr_Oexp_OCond(X28,X26,X24,X29) != c_Expr_Oexp_OCond(X27,X25,X23,X29)
| X26 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_782])])]) ).
fof(c_0_1393,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( c_Expr_Oexp_OCond(X28,X26,X24,X29) != c_Expr_Oexp_OCond(X27,X25,X23,X29)
| X24 = X23 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_783])])]) ).
fof(c_0_1394,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_Expr_Oexp_OBlock(X39,X35,X37,X40) != c_Expr_Oexp_OBlock(X38,X34,X36,X40)
| X39 = X38 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_784])])]) ).
fof(c_0_1395,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_Expr_Oexp_OBlock(X39,X35,X37,X40) != c_Expr_Oexp_OBlock(X38,X34,X36,X40)
| X35 = X34 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_785])])]) ).
fof(c_0_1396,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_Expr_Oexp_OBlock(X39,X35,X37,X40) != c_Expr_Oexp_OBlock(X38,X34,X36,X40)
| X37 = X36 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_786])])]) ).
fof(c_0_1397,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_Expr_Oexp_OCall(X24,X22,X20,X25) != c_Expr_Oexp_OCall(X23,X21,X19,X25)
| X20 = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_787])])]) ).
fof(c_0_1398,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_Expr_Oexp_OCall(X24,X22,X20,X25) != c_Expr_Oexp_OCall(X23,X21,X19,X25)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_788])])]) ).
fof(c_0_1399,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_Expr_Oexp_OCall(X24,X22,X20,X25) != c_Expr_Oexp_OCall(X23,X21,X19,X25)
| X24 = X23 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_789])])]) ).
fof(c_0_1400,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_Expr_Oexp_OFAcc(X24,X22,X20,X25) != c_Expr_Oexp_OFAcc(X23,X21,X19,X25)
| X24 = X23 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_790])])]) ).
fof(c_0_1401,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_Expr_Oexp_OFAcc(X24,X22,X20,X25) != c_Expr_Oexp_OFAcc(X23,X21,X19,X25)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_791])])]) ).
fof(c_0_1402,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_Expr_Oexp_OFAcc(X24,X22,X20,X25) != c_Expr_Oexp_OFAcc(X23,X21,X19,X25)
| X20 = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_792])])]) ).
fof(c_0_1403,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OFAcc(X38,X37,X36,X42) != c_Expr_Oexp_OBinOp(X40,X41,X39,X42),
inference(variable_rename,[status(thm)],[c_0_793]) ).
fof(c_0_1404,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OBinOp(X40,X41,X38,X42) != c_Expr_Oexp_OCond(X39,X37,X36,X42),
inference(variable_rename,[status(thm)],[c_0_794]) ).
fof(c_0_1405,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OBinOp(X39,X40,X38,X42) != c_Expr_Oexp_OBlock(X41,X36,X37,X42),
inference(variable_rename,[status(thm)],[c_0_795]) ).
fof(c_0_1406,plain,
! [X19,X20,X21,X22,X23,X24,X25] : c_Expr_Oexp_OCall(X23,X21,X19,X25) != c_Expr_Oexp_OFAcc(X24,X22,X20,X25),
inference(variable_rename,[status(thm)],[c_0_796]) ).
fof(c_0_1407,plain,
! [X34,X35,X36,X37,X38,X39,X40] : c_Expr_Oexp_OFAcc(X38,X36,X35,X40) != c_Expr_Oexp_OBlock(X39,X34,X37,X40),
inference(variable_rename,[status(thm)],[c_0_797]) ).
fof(c_0_1408,plain,
! [X19,X20,X21,X22,X23,X24,X25] : c_Expr_Oexp_OFAcc(X24,X22,X20,X25) != c_Expr_Oexp_OCall(X23,X21,X19,X25),
inference(variable_rename,[status(thm)],[c_0_798]) ).
fof(c_0_1409,plain,
! [X15,X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OBlock(X20,X15,X19,X21) != c_Expr_Oexp_OCond(X18,X17,X16,X21),
inference(variable_rename,[status(thm)],[c_0_799]) ).
fof(c_0_1410,plain,
! [X15,X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OCond(X18,X17,X16,X21) != c_Expr_Oexp_OBlock(X20,X15,X19,X21),
inference(variable_rename,[status(thm)],[c_0_800]) ).
fof(c_0_1411,plain,
! [X11,X12,X13,X14,X15,X16,X17] : c_Expr_Oexp_OFAcc(X16,X12,X11,X17) != c_Expr_Oexp_OCond(X15,X14,X13,X17),
inference(variable_rename,[status(thm)],[c_0_801]) ).
fof(c_0_1412,plain,
! [X34,X35,X36,X37,X38,X39,X40] : c_Expr_Oexp_OBlock(X39,X34,X37,X40) != c_Expr_Oexp_OFAcc(X38,X36,X35,X40),
inference(variable_rename,[status(thm)],[c_0_802]) ).
fof(c_0_1413,plain,
! [X34,X35,X36,X37,X38,X39,X40] : c_Expr_Oexp_OBlock(X39,X34,X37,X40) != c_Expr_Oexp_OCall(X38,X36,X35,X40),
inference(variable_rename,[status(thm)],[c_0_803]) ).
fof(c_0_1414,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OCall(X38,X37,X36,X42) != c_Expr_Oexp_OBinOp(X40,X41,X39,X42),
inference(variable_rename,[status(thm)],[c_0_804]) ).
fof(c_0_1415,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OBlock(X41,X36,X37,X42) != c_Expr_Oexp_OBinOp(X39,X40,X38,X42),
inference(variable_rename,[status(thm)],[c_0_805]) ).
fof(c_0_1416,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OCond(X39,X37,X36,X42) != c_Expr_Oexp_OBinOp(X40,X41,X38,X42),
inference(variable_rename,[status(thm)],[c_0_806]) ).
fof(c_0_1417,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OBinOp(X40,X41,X39,X42) != c_Expr_Oexp_OCall(X38,X37,X36,X42),
inference(variable_rename,[status(thm)],[c_0_807]) ).
fof(c_0_1418,plain,
! [X36,X37,X38,X39,X40,X41,X42] : c_Expr_Oexp_OBinOp(X40,X41,X39,X42) != c_Expr_Oexp_OFAcc(X38,X37,X36,X42),
inference(variable_rename,[status(thm)],[c_0_808]) ).
fof(c_0_1419,plain,
! [X11,X12,X13,X14,X15,X16,X17] : c_Expr_Oexp_OCall(X16,X12,X11,X17) != c_Expr_Oexp_OCond(X15,X14,X13,X17),
inference(variable_rename,[status(thm)],[c_0_809]) ).
fof(c_0_1420,plain,
! [X34,X35,X36,X37,X38,X39,X40] : c_Expr_Oexp_OCall(X38,X36,X35,X40) != c_Expr_Oexp_OBlock(X39,X34,X37,X40),
inference(variable_rename,[status(thm)],[c_0_810]) ).
fof(c_0_1421,plain,
! [X11,X12,X13,X14,X15,X16,X17] : c_Expr_Oexp_OCond(X15,X14,X13,X17) != c_Expr_Oexp_OCall(X16,X12,X11,X17),
inference(variable_rename,[status(thm)],[c_0_811]) ).
fof(c_0_1422,plain,
! [X11,X12,X13,X14,X15,X16,X17] : c_Expr_Oexp_OCond(X15,X14,X13,X17) != c_Expr_Oexp_OFAcc(X16,X12,X11,X17),
inference(variable_rename,[status(thm)],[c_0_812]) ).
fof(c_0_1423,plain,
! [X26,X27,X28,X29,X30] :
( c_Fun_Oinj__on(X26,X28,X30,X29)
| ~ c_lessequals(X28,X27,tc_fun(X30,tc_bool))
| ~ c_Fun_Oinj__on(X26,X27,X30,X29) ),
inference(variable_rename,[status(thm)],[c_0_813]) ).
fof(c_0_1424,plain,
! [X62,X63,X64] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OLAss(X63,X62,X64),X64) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X64,tc_bool)),c_Set_Oinsert(X63,c_Orderings_Obot__class_Obot(tc_fun(X64,tc_bool)),X64)),c_DefAss_O_092_060A_062(X62,X64),X64),
inference(variable_rename,[status(thm)],[c_0_814]) ).
fof(c_0_1425,plain,
! [X84,X85,X86,X87] : c_in(X86,hAPP(c_List_Oset(X87),c_List_Oappend(X85,c_List_Olist_OCons(X86,X84,X87),X87)),X87),
inference(variable_rename,[status(thm)],[c_0_815]) ).
fof(c_0_1426,plain,
! [X26,X27,X28,X29,X30] :
( c_lessequals(hAPP(X27,X26),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X28,X27,X30,tc_fun(X29,tc_bool)),tc_fun(X29,tc_bool))
| ~ c_in(X26,X28,X30) ),
inference(variable_rename,[status(thm)],[c_0_816]) ).
fof(c_0_1427,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X28)
| c_lessequals(hAPP(X26,X25),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X27,X26,X29,X28),X28)
| ~ c_in(X25,X27,X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_817])])]) ).
fof(c_0_1428,plain,
! [X41,X42,X43,X44] :
( ~ class_Orderings_Olinorder(X44)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X42,X41,X44),X44)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X43,c_List_Olist_OCons(X42,X41,X44),X44),X44) ),
inference(variable_rename,[status(thm)],[c_0_818]) ).
fof(c_0_1429,plain,
! [X50,X51,X52] :
( ~ hBOOL(hAPP(X51,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X52),X50),X51,X52)))
| hBOOL(hAPP(X51,X50)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_819])])]) ).
fof(c_0_1430,plain,
! [X41,X42,X43,X44,X45] : c_List_Osplice(c_List_Olist_OCons(X44,X43,X45),c_List_Olist_OCons(X42,X41,X45),X45) = c_List_Olist_OCons(X44,c_List_Olist_OCons(X42,c_List_Osplice(X43,X41,X45),X45),X45),
inference(variable_rename,[status(thm)],[c_0_820]) ).
fof(c_0_1431,plain,
! [X45,X46,X47,X48,X49] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X45,X46,X47,X49),X48,X49)
| ~ c_DefAss_O_092_060D_062(X45,X48,X49) ),
inference(variable_rename,[status(thm)],[c_0_821]) ).
fof(c_0_1432,plain,
! [X41,X42,X43,X44] :
( ~ class_Orderings_Olinorder(X44)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X43,c_List_Olist_OCons(X42,X41,X44),X44),X44)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X42,X41,X44),X44)
| ~ c_lessequals(X43,X42,X44) ),
inference(variable_rename,[status(thm)],[c_0_822]) ).
fof(c_0_1433,plain,
! [X40,X41,X42,X43] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OBinOp(X41,X42,X40,X43),X43) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X41,X43),c_DefAss_O_092_060A_062(X40,X43),X43),
inference(variable_rename,[status(thm)],[c_0_823]) ).
fof(c_0_1434,plain,
! [X64,X65,X66,X67,X68,X69] :
( hAPP(X66,X67) != hAPP(c_Option_Ooption_OSome(X69),X64)
| hAPP(X65,X67) != c_Option_Ooption_ONone(X69)
| hAPP(c_Map_Omap__add(X66,X65,X68,X69),X67) = hAPP(c_Option_Ooption_OSome(X69),X64) ),
inference(variable_rename,[status(thm)],[c_0_824]) ).
fof(c_0_1435,plain,
! [X41,X42,X43,X44,X45,X46] :
( hAPP(X43,X42) != hAPP(X43,X41)
| ~ c_Fun_Oinj__on(X43,X44,X46,X45)
| X42 = X41
| ~ c_in(X41,X44,X46)
| ~ c_in(X42,X44,X46) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_825])])]) ).
fof(c_0_1436,plain,
! [X58,X59,X60,X61,X62,X63] :
( hAPP(X60,X59) != hAPP(X60,X58)
| ~ c_in(X58,X61,X63)
| ~ c_in(X59,X61,X63)
| ~ c_Fun_Oinj__on(X60,X61,X63,X62)
| X59 = X58 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_826])])]) ).
fof(c_0_1437,plain,
! [X41,X42,X43,X44,X45,X46] :
( hAPP(X43,X42) != hAPP(X43,X41)
| ~ c_in(X41,X44,X46)
| ~ c_in(X42,X44,X46)
| ~ c_Fun_Oinj__on(X43,X44,X46,X45)
| X42 = X41 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_827])])]) ).
fof(c_0_1438,plain,
! [X41,X42,X43,X44,X45,X46] :
( hAPP(X43,X42) != hAPP(X43,X41)
| ~ c_in(X41,X44,X46)
| ~ c_in(X42,X44,X46)
| X42 = X41
| ~ c_Fun_Oinj__on(X43,X44,X46,X45) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_828])])]) ).
fof(c_0_1439,plain,
! [X72,X73,X74] : c_in(c_Pair(X73,X73,X74,X74),c_Transitive__Closure_Ortrancl(X72,X74),tc_prod(X74,X74)),
inference(variable_rename,[status(thm)],[c_0_829]) ).
fof(c_0_1440,plain,
! [X75,X76,X77] : c_in(c_Pair(X75,X75,X77,X77),c_Transitive__Closure_Ortrancl(X76,X77),tc_prod(X77,X77)),
inference(variable_rename,[status(thm)],[c_0_830]) ).
fof(c_0_1441,plain,
! [X28,X29,X30,X31,X32] :
( c_Orderings_Obot__class_Obot(tc_fun(X32,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X30,X29,X31,tc_fun(X32,tc_bool))
| hAPP(X29,X28) = c_Orderings_Obot__class_Obot(tc_fun(X32,tc_bool))
| ~ c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_831]) ).
fof(c_0_1442,plain,
! [X28,X29,X30,X31,X32] :
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X30,X29,X31,tc_fun(X32,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X32,tc_bool))
| hAPP(X29,X28) = c_Orderings_Obot__class_Obot(tc_fun(X32,tc_bool))
| ~ c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_832]) ).
fof(c_0_1443,plain,
! [X28,X29,X30] :
( X29 = c_Set_Oinsert(X28,c_Orderings_Obot__class_Obot(tc_fun(X30,tc_bool)),X30)
| X29 = c_Orderings_Obot__class_Obot(tc_fun(X30,tc_bool))
| ~ c_lessequals(X29,c_Set_Oinsert(X28,c_Orderings_Obot__class_Obot(tc_fun(X30,tc_bool)),X30),tc_fun(X30,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_833]) ).
fof(c_0_1444,plain,
! [X41,X42,X43,X44] :
( ~ class_Orderings_Olinorder(X44)
| c_lessequals(X43,X42,X44)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X43,c_List_Olist_OCons(X42,X41,X44),X44),X44) ),
inference(variable_rename,[status(thm)],[c_0_834]) ).
fof(c_0_1445,plain,
! [X40,X41,X42,X43] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X41,X40,X43),X42,X43)
| ~ c_DefAss_O_092_060D_062(X40,c_DefAss_OhyperUn(X42,c_DefAss_O_092_060A_062(X41,X43),X43),X43)
| ~ c_DefAss_O_092_060D_062(X41,X42,X43) ),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1446,plain,
! [X68,X69,X70,X71] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X68,X69,X71),X70,X71)
| ~ c_DefAss_O_092_060D_062(X69,c_DefAss_OhyperUn(X70,c_DefAss_O_092_060A_062(X68,X71),X71),X71)
| ~ c_DefAss_O_092_060D_062(X68,X70,X71) ),
inference(variable_rename,[status(thm)],[c_0_836]) ).
fof(c_0_1447,plain,
! [X64,X65,X66,X67,X68,X69] :
( hAPP(X65,X67) != hAPP(c_Option_Ooption_OSome(X69),X64)
| hAPP(c_Map_Omap__add(X66,X65,X68,X69),X67) = hAPP(c_Option_Ooption_OSome(X69),X64) ),
inference(variable_rename,[status(thm)],[c_0_837]) ).
fof(c_0_1448,plain,
! [X91,X92,X93,X94,X95,X96] :
( hAPP(X92,X94) != hAPP(c_Option_Ooption_OSome(X96),X91)
| hAPP(c_Map_Omap__add(X93,X92,X95,X96),X94) = hAPP(c_Option_Ooption_OSome(X96),X91) ),
inference(variable_rename,[status(thm)],[c_0_838]) ).
fof(c_0_1449,plain,
! [X41,X42,X43,X44] :
( c_in(X41,hAPP(c_List_Oset(X44),X42),X44)
| X41 = X43
| ~ c_in(X41,hAPP(c_List_Oset(X44),c_List_Olist_OCons(X43,X42,X44)),X44) ),
inference(variable_rename,[status(thm)],[c_0_839]) ).
fof(c_0_1450,plain,
! [X50,X51,X52,X53] :
( c_in(X51,hAPP(c_List_Oset(X53),X50),X53)
| ~ c_in(X51,hAPP(c_List_Oset(X53),c_List_OtakeWhile(X52,X50,X53)),X53) ),
inference(variable_rename,[status(thm)],[c_0_840]) ).
fof(c_0_1451,plain,
! [X64,X65,X66,X67,X68] :
( hAPP(X65,X66) != c_Option_Ooption_ONone(X68)
| hAPP(X64,X66) != c_Option_Ooption_ONone(X68)
| hAPP(c_Map_Omap__add(X65,X64,X67,X68),X66) = c_Option_Ooption_ONone(X68) ),
inference(variable_rename,[status(thm)],[c_0_841]) ).
fof(c_0_1452,plain,
! [X41,X42,X43,X44,X45] :
( c_List_Oappend(X43,c_List_Olist_OCons(X44,c_List_Olist_ONil(X45),X45),X45) != c_List_Oappend(X41,c_List_Olist_OCons(X42,c_List_Olist_ONil(X45),X45),X45)
| X43 = X41 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_842])])]) ).
fof(c_0_1453,plain,
! [X41,X42,X43,X44,X45] :
( c_List_Oappend(X43,c_List_Olist_OCons(X44,c_List_Olist_ONil(X45),X45),X45) != c_List_Oappend(X41,c_List_Olist_OCons(X42,c_List_Olist_ONil(X45),X45),X45)
| X44 = X42 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_843])])]) ).
fof(c_0_1454,plain,
! [X58,X59,X60,X61,X62] :
( ~ class_Orderings_Olinorder(X62)
| c_lessequals(X61,X60,X62)
| ~ c_in(X60,hAPP(c_List_Oset(X62),X58),X62)
| ~ c_in(X61,hAPP(c_List_Oset(X62),X59),X62)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X59,X58,X62),X62) ),
inference(variable_rename,[status(thm)],[c_0_844]) ).
fof(c_0_1455,plain,
! [X33,X34,X35] : ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X34,X33,X35),tc_List_Olist(X35)),c_Nat_Osize__class_Osize(X33,tc_List_Olist(X35)),tc_nat),
inference(variable_rename,[status(thm)],[c_0_845]) ).
fof(c_0_1456,plain,
! [X58,X59,X60] : c_Set_Oinsert(X58,c_Set_Oinsert(X59,c_Orderings_Obot__class_Obot(tc_fun(X60,tc_bool)),X60),X60) = c_Set_Oinsert(X59,c_Set_Oinsert(X58,c_Orderings_Obot__class_Obot(tc_fun(X60,tc_bool)),X60),X60),
inference(variable_rename,[status(thm)],[c_0_846]) ).
fof(c_0_1457,plain,
! [X45,X46,X47,X48] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAcc(X45,X46,X47,X48),X48) = c_DefAss_O_092_060A_062(X45,X48),
inference(variable_rename,[status(thm)],[c_0_847]) ).
fof(c_0_1458,plain,
! [X50,X51,X52,X53] :
( hBOOL(hAPP(X52,X51))
| ~ c_in(X51,hAPP(c_List_Oset(X53),c_List_OtakeWhile(X52,X50,X53)),X53) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_848])])]) ).
fof(c_0_1459,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OSeq(X14,X13,X16) != c_Expr_Oexp_OCall(X15,X12,X11,X16),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1460,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OSeq(X14,X13,X16) != c_Expr_Oexp_OFAcc(X15,X12,X11,X16),
inference(variable_rename,[status(thm)],[c_0_850]) ).
fof(c_0_1461,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OWhile(X14,X13,X16) != c_Expr_Oexp_OCall(X15,X12,X11,X16),
inference(variable_rename,[status(thm)],[c_0_851]) ).
fof(c_0_1462,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OWhile(X14,X13,X16) != c_Expr_Oexp_OFAcc(X15,X12,X11,X16),
inference(variable_rename,[status(thm)],[c_0_852]) ).
fof(c_0_1463,plain,
! [X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OCond(X17,X16,X15,X20) != c_Expr_Oexp_OLAss(X19,X18,X20),
inference(variable_rename,[status(thm)],[c_0_853]) ).
fof(c_0_1464,plain,
! [X34,X35,X36,X37,X38,X39] : c_Expr_Oexp_OBlock(X37,X34,X35,X39) != c_Expr_Oexp_OLAss(X38,X36,X39),
inference(variable_rename,[status(thm)],[c_0_854]) ).
fof(c_0_1465,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OCall(X22,X20,X19,X24) != c_Expr_Oexp_OCast(X21,X23,X24),
inference(variable_rename,[status(thm)],[c_0_855]) ).
fof(c_0_1466,plain,
! [X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OBinOp(X38,X39,X37,X41) != c_Expr_Oexp_OLAss(X40,X36,X41),
inference(variable_rename,[status(thm)],[c_0_856]) ).
fof(c_0_1467,plain,
! [X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OSeq(X17,X16,X20) != c_Expr_Oexp_OBlock(X19,X15,X18,X20),
inference(variable_rename,[status(thm)],[c_0_857]) ).
fof(c_0_1468,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OFAcc(X15,X12,X11,X16) != c_Expr_Oexp_OWhile(X14,X13,X16),
inference(variable_rename,[status(thm)],[c_0_858]) ).
fof(c_0_1469,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OFAcc(X22,X20,X19,X24) != c_Expr_Oexp_OCast(X21,X23,X24),
inference(variable_rename,[status(thm)],[c_0_859]) ).
fof(c_0_1470,plain,
! [X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OLAss(X19,X18,X20) != c_Expr_Oexp_OCond(X17,X16,X15,X20),
inference(variable_rename,[status(thm)],[c_0_860]) ).
fof(c_0_1471,plain,
! [X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OCast(X16,X20,X21) != c_Expr_Oexp_OCond(X19,X18,X17,X21),
inference(variable_rename,[status(thm)],[c_0_861]) ).
fof(c_0_1472,plain,
! [X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OSeq(X38,X36,X41) != c_Expr_Oexp_OBinOp(X39,X40,X37,X41),
inference(variable_rename,[status(thm)],[c_0_862]) ).
fof(c_0_1473,plain,
! [X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OBinOp(X39,X40,X37,X41) != c_Expr_Oexp_OSeq(X38,X36,X41),
inference(variable_rename,[status(thm)],[c_0_863]) ).
fof(c_0_1474,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OCall(X21,X20,X19,X24) != c_Expr_Oexp_OLAss(X23,X22,X24),
inference(variable_rename,[status(thm)],[c_0_864]) ).
fof(c_0_1475,plain,
! [X34,X35,X36,X37,X38,X39] : c_Expr_Oexp_OCast(X35,X37,X39) != c_Expr_Oexp_OBlock(X38,X34,X36,X39),
inference(variable_rename,[status(thm)],[c_0_865]) ).
fof(c_0_1476,plain,
! [X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OWhile(X17,X16,X20) != c_Expr_Oexp_OBlock(X19,X15,X18,X20),
inference(variable_rename,[status(thm)],[c_0_866]) ).
fof(c_0_1477,plain,
! [X10,X11,X12,X13,X14,X15] : c_Expr_Oexp_OCond(X13,X11,X10,X15) != c_Expr_Oexp_OSeq(X14,X12,X15),
inference(variable_rename,[status(thm)],[c_0_867]) ).
fof(c_0_1478,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OCall(X15,X12,X11,X16) != c_Expr_Oexp_OWhile(X14,X13,X16),
inference(variable_rename,[status(thm)],[c_0_868]) ).
fof(c_0_1479,plain,
! [X34,X35,X36,X37,X38,X39] : c_Expr_Oexp_OBlock(X38,X34,X36,X39) != c_Expr_Oexp_OCast(X35,X37,X39),
inference(variable_rename,[status(thm)],[c_0_869]) ).
fof(c_0_1480,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OCast(X21,X23,X24) != c_Expr_Oexp_OFAcc(X22,X20,X19,X24),
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1481,plain,
! [X23,X24,X25,X26,X27,X28] : c_Expr_Oexp_OCond(X27,X25,X23,X28) != c_Expr_Oexp_OWhile(X26,X24,X28),
inference(variable_rename,[status(thm)],[c_0_871]) ).
fof(c_0_1482,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OCast(X21,X23,X24) != c_Expr_Oexp_OCall(X22,X20,X19,X24),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1483,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OLAss(X23,X22,X24) != c_Expr_Oexp_OFAcc(X21,X20,X19,X24),
inference(variable_rename,[status(thm)],[c_0_873]) ).
fof(c_0_1484,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OLAss(X23,X22,X24) != c_Expr_Oexp_OCall(X21,X20,X19,X24),
inference(variable_rename,[status(thm)],[c_0_874]) ).
fof(c_0_1485,plain,
! [X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OBlock(X19,X15,X18,X20) != c_Expr_Oexp_OSeq(X17,X16,X20),
inference(variable_rename,[status(thm)],[c_0_875]) ).
fof(c_0_1486,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OFAcc(X15,X12,X11,X16) != c_Expr_Oexp_OSeq(X14,X13,X16),
inference(variable_rename,[status(thm)],[c_0_876]) ).
fof(c_0_1487,plain,
! [X34,X35,X36,X37,X38,X39] : c_Expr_Oexp_OLAss(X38,X36,X39) != c_Expr_Oexp_OBlock(X37,X34,X35,X39),
inference(variable_rename,[status(thm)],[c_0_877]) ).
fof(c_0_1488,plain,
! [X31,X32,X33,X34,X35,X36] : c_Expr_Oexp_OCast(X31,X34,X36) != c_Expr_Oexp_OBinOp(X33,X35,X32,X36),
inference(variable_rename,[status(thm)],[c_0_878]) ).
fof(c_0_1489,plain,
! [X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OWhile(X38,X36,X41) != c_Expr_Oexp_OBinOp(X39,X40,X37,X41),
inference(variable_rename,[status(thm)],[c_0_879]) ).
fof(c_0_1490,plain,
! [X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OBinOp(X39,X40,X37,X41) != c_Expr_Oexp_OWhile(X38,X36,X41),
inference(variable_rename,[status(thm)],[c_0_880]) ).
fof(c_0_1491,plain,
! [X31,X32,X33,X34,X35,X36] : c_Expr_Oexp_OBinOp(X33,X35,X32,X36) != c_Expr_Oexp_OCast(X31,X34,X36),
inference(variable_rename,[status(thm)],[c_0_881]) ).
fof(c_0_1492,plain,
! [X36,X37,X38,X39,X40,X41] : c_Expr_Oexp_OLAss(X40,X36,X41) != c_Expr_Oexp_OBinOp(X38,X39,X37,X41),
inference(variable_rename,[status(thm)],[c_0_882]) ).
fof(c_0_1493,plain,
! [X11,X12,X13,X14,X15,X16] : c_Expr_Oexp_OCall(X15,X12,X11,X16) != c_Expr_Oexp_OSeq(X14,X13,X16),
inference(variable_rename,[status(thm)],[c_0_883]) ).
fof(c_0_1494,plain,
! [X10,X11,X12,X13,X14,X15] : c_Expr_Oexp_OSeq(X14,X12,X15) != c_Expr_Oexp_OCond(X13,X11,X10,X15),
inference(variable_rename,[status(thm)],[c_0_884]) ).
fof(c_0_1495,plain,
! [X19,X20,X21,X22,X23,X24] : c_Expr_Oexp_OFAcc(X21,X20,X19,X24) != c_Expr_Oexp_OLAss(X23,X22,X24),
inference(variable_rename,[status(thm)],[c_0_885]) ).
fof(c_0_1496,plain,
! [X23,X24,X25,X26,X27,X28] : c_Expr_Oexp_OWhile(X26,X24,X28) != c_Expr_Oexp_OCond(X27,X25,X23,X28),
inference(variable_rename,[status(thm)],[c_0_886]) ).
fof(c_0_1497,plain,
! [X16,X17,X18,X19,X20,X21] : c_Expr_Oexp_OCond(X19,X18,X17,X21) != c_Expr_Oexp_OCast(X16,X20,X21),
inference(variable_rename,[status(thm)],[c_0_887]) ).
fof(c_0_1498,plain,
! [X15,X16,X17,X18,X19,X20] : c_Expr_Oexp_OBlock(X19,X15,X18,X20) != c_Expr_Oexp_OWhile(X17,X16,X20),
inference(variable_rename,[status(thm)],[c_0_888]) ).
fof(c_0_1499,plain,
! [X68,X69,X70,X71] :
( c_DefAss_O_092_060D_062(X69,c_DefAss_OhyperUn(X70,c_DefAss_O_092_060A_062(X68,X71),X71),X71)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X68,X69,X71),X70,X71) ),
inference(variable_rename,[status(thm)],[c_0_889]) ).
fof(c_0_1500,plain,
! [X40,X41,X42,X43] :
( c_DefAss_O_092_060D_062(X40,c_DefAss_OhyperUn(X42,c_DefAss_O_092_060A_062(X41,X43),X43),X43)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X41,X40,X43),X42,X43) ),
inference(variable_rename,[status(thm)],[c_0_890]) ).
fof(c_0_1501,plain,
! [X41,X42,X43] : c_List_Orev(c_List_Oappend(c_List_Orev(X41,X43),c_List_Olist_OCons(X42,c_List_Olist_ONil(X43),X43),X43),X43) = c_List_Olist_OCons(X42,X41,X43),
inference(variable_rename,[status(thm)],[c_0_891]) ).
fof(c_0_1502,plain,
! [X71,X72,X73,X74,X75] :
( c_List_OtakeWhile(X74,c_List_Oappend(X71,c_List_Olist_OCons(X72,X73,X75),X75),X75) = c_List_OtakeWhile(X74,X71,X75)
| hBOOL(hAPP(X74,X72)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_892])])]) ).
fof(c_0_1503,plain,
! [X28,X29,X30,X31] :
( c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| ~ c_lessequals(X30,c_Set_Oinsert(X28,X29,X31),tc_fun(X31,tc_bool))
| c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_893]) ).
fof(c_0_1504,plain,
! [X28,X29,X30,X31] :
( c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| c_in(X28,X30,X31)
| ~ c_lessequals(X30,c_Set_Oinsert(X28,X29,X31),tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_894]) ).
fof(c_0_1505,plain,
! [X17,X18,X19] :
( X17 = X18
| ~ c_in(X17,c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19),X19) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_895])])]) ).
fof(c_0_1506,plain,
! [X41,X42,X43,X44] :
( hBOOL(hAPP(X43,X42))
| X41 = X42
| ~ hBOOL(hAPP(c_Set_Oinsert(X41,X43,X44),X42)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_896])])]) ).
fof(c_0_1507,plain,
! [X59,X60,X61,X62] :
( c_lessequals(c_Set_Oinsert(X59,X61,X62),c_Set_Oinsert(X59,X60,X62),tc_fun(X62,tc_bool))
| ~ c_lessequals(X61,X60,tc_fun(X62,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_897]) ).
fof(c_0_1508,plain,
! [X19,X20,X21,X22,X23] : c_Expr_Oexp_OCall(X22,X20,X19,X23) != c_Expr_Oexp_Onew(X21,X23),
inference(variable_rename,[status(thm)],[c_0_898]) ).
fof(c_0_1509,plain,
! [X34,X35,X36,X37,X38] : c_Expr_Oexp_OVal(X34,X38) != c_Expr_Oexp_OBlock(X37,X35,X36,X38),
inference(variable_rename,[status(thm)],[c_0_899]) ).
fof(c_0_1510,plain,
! [X30,X31,X32,X33,X34] : c_Expr_Oexp_OVal(X30,X34) != c_Expr_Oexp_OCall(X33,X32,X31,X34),
inference(variable_rename,[status(thm)],[c_0_900]) ).
fof(c_0_1511,plain,
! [X30,X31,X32,X33,X34] : c_Expr_Oexp_OVal(X30,X34) != c_Expr_Oexp_OFAcc(X33,X32,X31,X34),
inference(variable_rename,[status(thm)],[c_0_901]) ).
fof(c_0_1512,plain,
! [X11,X12,X13,X14,X15] : c_Expr_Oexp_OFAcc(X14,X12,X11,X15) != c_Expr_Oexp_Othrow(X13,X15),
inference(variable_rename,[status(thm)],[c_0_902]) ).
fof(c_0_1513,plain,
! [X19,X20,X21,X22,X23] : c_Expr_Oexp_OFAcc(X22,X20,X19,X23) != c_Expr_Oexp_Onew(X21,X23),
inference(variable_rename,[status(thm)],[c_0_903]) ).
fof(c_0_1514,plain,
! [X34,X35,X36,X37,X38] : c_Expr_Oexp_OBlock(X37,X34,X36,X38) != c_Expr_Oexp_Onew(X35,X38),
inference(variable_rename,[status(thm)],[c_0_904]) ).
fof(c_0_1515,plain,
! [X31,X32,X33,X34,X35] : c_Expr_Oexp_OVal(X31,X35) != c_Expr_Oexp_OBinOp(X33,X34,X32,X35),
inference(variable_rename,[status(thm)],[c_0_905]) ).
fof(c_0_1516,plain,
! [X36,X37,X38,X39,X40] : c_Expr_Oexp_OBinOp(X38,X39,X37,X40) != c_Expr_Oexp_Othrow(X36,X40),
inference(variable_rename,[status(thm)],[c_0_906]) ).
fof(c_0_1517,plain,
! [X15,X16,X17,X18,X19] : c_Expr_Oexp_OBlock(X18,X15,X17,X19) != c_Expr_Oexp_Othrow(X16,X19),
inference(variable_rename,[status(thm)],[c_0_907]) ).
fof(c_0_1518,plain,
! [X36,X37,X38,X39,X40] : c_Expr_Oexp_Othrow(X36,X40) != c_Expr_Oexp_OBinOp(X38,X39,X37,X40),
inference(variable_rename,[status(thm)],[c_0_908]) ).
fof(c_0_1519,plain,
! [X30,X31,X32,X33,X34] : c_Expr_Oexp_OCall(X33,X32,X31,X34) != c_Expr_Oexp_OVal(X30,X34),
inference(variable_rename,[status(thm)],[c_0_909]) ).
fof(c_0_1520,plain,
! [X19,X20,X21,X22,X23] : c_Expr_Oexp_Onew(X21,X23) != c_Expr_Oexp_OFAcc(X22,X20,X19,X23),
inference(variable_rename,[status(thm)],[c_0_910]) ).
fof(c_0_1521,plain,
! [X19,X20,X21,X22,X23] : c_Expr_Oexp_Onew(X21,X23) != c_Expr_Oexp_OCall(X22,X20,X19,X23),
inference(variable_rename,[status(thm)],[c_0_911]) ).
fof(c_0_1522,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OCond(X19,X18,X17,X20) != c_Expr_Oexp_Onew(X16,X20),
inference(variable_rename,[status(thm)],[c_0_912]) ).
fof(c_0_1523,plain,
! [X11,X12,X13,X14,X15] : c_Expr_Oexp_Othrow(X13,X15) != c_Expr_Oexp_OFAcc(X14,X12,X11,X15),
inference(variable_rename,[status(thm)],[c_0_913]) ).
fof(c_0_1524,plain,
! [X11,X12,X13,X14,X15] : c_Expr_Oexp_Othrow(X13,X15) != c_Expr_Oexp_OCall(X14,X12,X11,X15),
inference(variable_rename,[status(thm)],[c_0_914]) ).
fof(c_0_1525,plain,
! [X31,X32,X33,X34,X35] : c_Expr_Oexp_Onew(X31,X35) != c_Expr_Oexp_OBinOp(X33,X34,X32,X35),
inference(variable_rename,[status(thm)],[c_0_915]) ).
fof(c_0_1526,plain,
! [X15,X16,X17,X18,X19] : c_Expr_Oexp_Othrow(X16,X19) != c_Expr_Oexp_OBlock(X18,X15,X17,X19),
inference(variable_rename,[status(thm)],[c_0_916]) ).
fof(c_0_1527,plain,
! [X31,X32,X33,X34,X35] : c_Expr_Oexp_OBinOp(X33,X34,X32,X35) != c_Expr_Oexp_Onew(X31,X35),
inference(variable_rename,[status(thm)],[c_0_917]) ).
fof(c_0_1528,plain,
! [X30,X31,X32,X33,X34] : c_Expr_Oexp_OFAcc(X33,X32,X31,X34) != c_Expr_Oexp_OVal(X30,X34),
inference(variable_rename,[status(thm)],[c_0_918]) ).
fof(c_0_1529,plain,
! [X34,X35,X36,X37,X38] : c_Expr_Oexp_OBlock(X37,X35,X36,X38) != c_Expr_Oexp_OVal(X34,X38),
inference(variable_rename,[status(thm)],[c_0_919]) ).
fof(c_0_1530,plain,
! [X30,X31,X32,X33,X34] : c_Expr_Oexp_OVal(X30,X34) != c_Expr_Oexp_OCond(X33,X32,X31,X34),
inference(variable_rename,[status(thm)],[c_0_920]) ).
fof(c_0_1531,plain,
! [X34,X35,X36,X37,X38] : c_Expr_Oexp_Onew(X35,X38) != c_Expr_Oexp_OBlock(X37,X34,X36,X38),
inference(variable_rename,[status(thm)],[c_0_921]) ).
fof(c_0_1532,plain,
! [X30,X31,X32,X33,X34] : c_Expr_Oexp_OCond(X33,X32,X31,X34) != c_Expr_Oexp_OVal(X30,X34),
inference(variable_rename,[status(thm)],[c_0_922]) ).
fof(c_0_1533,plain,
! [X23,X24,X25,X26,X27] : c_Expr_Oexp_Othrow(X23,X27) != c_Expr_Oexp_OCond(X26,X25,X24,X27),
inference(variable_rename,[status(thm)],[c_0_923]) ).
fof(c_0_1534,plain,
! [X23,X24,X25,X26,X27] : c_Expr_Oexp_OCond(X26,X25,X24,X27) != c_Expr_Oexp_Othrow(X23,X27),
inference(variable_rename,[status(thm)],[c_0_924]) ).
fof(c_0_1535,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_Onew(X16,X20) != c_Expr_Oexp_OCond(X19,X18,X17,X20),
inference(variable_rename,[status(thm)],[c_0_925]) ).
fof(c_0_1536,plain,
! [X31,X32,X33,X34,X35] : c_Expr_Oexp_OBinOp(X33,X34,X32,X35) != c_Expr_Oexp_OVal(X31,X35),
inference(variable_rename,[status(thm)],[c_0_926]) ).
fof(c_0_1537,plain,
! [X11,X12,X13,X14,X15] : c_Expr_Oexp_OCall(X14,X12,X11,X15) != c_Expr_Oexp_Othrow(X13,X15),
inference(variable_rename,[status(thm)],[c_0_927]) ).
fof(c_0_1538,plain,
! [X69,X70,X71,X72] :
( c_Option_Omap(X70,X69,X71,X72) != c_Option_Ooption_ONone(X72)
| X69 = c_Option_Ooption_ONone(X71) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_928])])]) ).
fof(c_0_1539,plain,
! [X58,X59,X60,X61] :
( ~ class_Orderings_Olinorder(X61)
| c_lessequals(X60,X59,X61)
| ~ c_in(X59,hAPP(c_List_Oset(X61),X58),X61)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X60,X58,X61),X61) ),
inference(variable_rename,[status(thm)],[c_0_929]) ).
fof(c_0_1540,plain,
! [X28,X29,X30,X31] :
( c_lessequals(c_Set_Oinsert(X28,X30,X31),X29,tc_fun(X31,tc_bool))
| ~ c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| ~ c_in(X28,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_930]) ).
fof(c_0_1541,plain,
! [X50,X51,X52,X53,X54] :
( c_List_OtakeWhile(X53,c_List_Oappend(X51,X50,X54),X54) = c_List_OtakeWhile(X53,X51,X54)
| hBOOL(hAPP(X53,X52))
| ~ c_in(X52,hAPP(c_List_Oset(X54),X51),X54) ),
inference(variable_rename,[status(thm)],[c_0_931]) ).
fof(c_0_1542,plain,
! [X29,X30] : hAPP(c_List_Oset(X30),c_List_Oconcat(X29,X30)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_List_Oset(tc_List_Olist(X30)),X29),c_List_Oset(X30),tc_List_Olist(X30),tc_fun(X30,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_932]) ).
fof(c_0_1543,plain,
! [X50,X51,X52,X53] :
( c_List_OtakeWhile(X52,c_List_Olist_OCons(X51,X50,X53),X53) = c_List_Olist_OCons(X51,c_List_OtakeWhile(X52,X50,X53),X53)
| ~ hBOOL(hAPP(X52,X51)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_933])])]) ).
fof(c_0_1544,plain,
! [X28,X29,X30,X31] :
( c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X28,X30,X31),X29,tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_934]) ).
fof(c_0_1545,plain,
! [X29,X30,X31] : c_lessequals(hAPP(c_List_Oset(X31),X29),hAPP(c_List_Oset(X31),c_List_Olist_OCons(X30,X29,X31)),tc_fun(X31,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_935]) ).
fof(c_0_1546,plain,
! [X28,X29,X30,X31] :
( c_lessequals(X30,c_Set_Oinsert(X28,X29,X31),tc_fun(X31,tc_bool))
| ~ c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_936]) ).
fof(c_0_1547,plain,
! [X28,X29,X30,X31] :
( c_lessequals(X30,c_Set_Oinsert(X28,X29,X31),tc_fun(X31,tc_bool))
| ~ c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_937]) ).
fof(c_0_1548,plain,
! [X29,X30,X31] : c_List_Obutlast(c_List_Oappend(X29,c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31),X31),X31) = X29,
inference(variable_rename,[status(thm)],[c_0_938]) ).
fof(c_0_1549,plain,
! [X29,X30,X31] : c_List_Olast(c_List_Oappend(X29,c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31),X31),X31) = X30,
inference(variable_rename,[status(thm)],[c_0_939]) ).
fof(c_0_1550,plain,
! [X99,X100,X101,X102] :
( c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X101,X99,X102),c_DefAss_OhyperUn(X100,X99,X102),X102)
| ~ c_DefAss_Ohyper__subset(X101,X100,X102) ),
inference(variable_rename,[status(thm)],[c_0_940]) ).
fof(c_0_1551,plain,
! [X28,X29,X30,X31] :
( c_in(X28,X29,X31)
| ~ c_lessequals(c_Set_Oinsert(X28,X30,X31),X29,tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_941]) ).
fof(c_0_1552,plain,
! [X50,X51,X52] : c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X51,X50,X52),tc_List_Olist(X52)),c_Nat_Osize__class_Osize(X50,tc_List_Olist(X52)),tc_nat),
inference(variable_rename,[status(thm)],[c_0_942]) ).
fof(c_0_1553,plain,
! [X29,X30,X31] :
( ~ c_in(X30,hAPP(c_List_Oset(X31),X29),X31)
| ~ c_List_Odistinct(c_List_Olist_OCons(X30,X29,X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_943]) ).
fof(c_0_1554,plain,
! [X17,X18,X19] :
( c_Set_Oinsert(X18,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19) != c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19)
| X18 = X17 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_944])])]) ).
fof(c_0_1555,plain,
! [X28,X29,X30,X31] : c_Option_Omap(X29,hAPP(c_Option_Ooption_OSome(X30),X28),X30,X31) = hAPP(c_Option_Ooption_OSome(X31),hAPP(X29,X28)),
inference(variable_rename,[status(thm)],[c_0_945]) ).
fof(c_0_1556,plain,
! [X59,X60,X61,X62] : c_DefAss_OhyperUn(c_DefAss_OhyperUn(X61,X60,X62),X59,X62) = c_DefAss_OhyperUn(X61,c_DefAss_OhyperUn(X60,X59,X62),X62),
inference(variable_rename,[status(thm)],[c_0_946]) ).
fof(c_0_1557,plain,
! [X89,X90,X91,X92] : c_List_Oappend(X89,c_List_Oappend(X90,X91,X92),X92) = c_List_Oappend(c_List_Oappend(X89,X90,X92),X91,X92),
inference(variable_rename,[status(thm)],[c_0_947]) ).
fof(c_0_1558,plain,
! [X33,X34,X35,X36] : c_List_Oappend(c_List_Oappend(X33,X35,X36),X34,X36) = c_List_Oappend(X33,c_List_Oappend(X35,X34,X36),X36),
inference(variable_rename,[status(thm)],[c_0_948]) ).
fof(c_0_1559,plain,
! [X88,X89,X90,X91] : c_List_Oappend(X89,c_List_Oappend(X88,X90,X91),X91) = c_List_Oappend(c_List_Oappend(X89,X88,X91),X90,X91),
inference(variable_rename,[status(thm)],[c_0_949]) ).
fof(c_0_1560,plain,
! [X33,X34,X35,X36] : c_List_Oappend(c_List_Oappend(X35,X34,X36),X33,X36) = c_List_Oappend(X35,c_List_Oappend(X34,X33,X36),X36),
inference(variable_rename,[status(thm)],[c_0_950]) ).
fof(c_0_1561,plain,
! [X83,X84,X85,X86] : c_List_Olist_OCons(X85,c_List_Oappend(X84,X83,X86),X86) = c_List_Oappend(c_List_Olist_OCons(X85,X84,X86),X83,X86),
inference(variable_rename,[status(thm)],[c_0_951]) ).
fof(c_0_1562,plain,
! [X58,X59,X60,X61] : c_List_Olist_OCons(X60,c_List_Oappend(X59,X58,X61),X61) = c_List_Oappend(c_List_Olist_OCons(X60,X59,X61),X58,X61),
inference(variable_rename,[status(thm)],[c_0_952]) ).
fof(c_0_1563,plain,
! [X33,X34,X35,X36] : c_List_Oappend(c_List_Olist_OCons(X35,X34,X36),X33,X36) = c_List_Olist_OCons(X35,c_List_Oappend(X34,X33,X36),X36),
inference(variable_rename,[status(thm)],[c_0_953]) ).
fof(c_0_1564,plain,
! [X58,X59,X60,X61] : c_List_Oappend(c_List_Olist_OCons(X60,X59,X61),X58,X61) = c_List_Olist_OCons(X60,c_List_Oappend(X59,X58,X61),X61),
inference(variable_rename,[status(thm)],[c_0_954]) ).
fof(c_0_1565,plain,
! [X41,X42,X43,X44] : c_Set_Oinsert(X42,c_Set_Oinsert(X41,X43,X44),X44) = c_Set_Oinsert(X41,c_Set_Oinsert(X42,X43,X44),X44),
inference(variable_rename,[status(thm)],[c_0_955]) ).
fof(c_0_1566,plain,
! [X59,X60,X61,X62] :
( c_lessequals(X61,X59,tc_fun(X62,tc_bool))
| ~ c_lessequals(X60,X59,tc_fun(X62,tc_bool))
| ~ c_lessequals(X61,X60,tc_fun(X62,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_956]) ).
fof(c_0_1567,plain,
! [X29,X30,X31] :
( c_in(X30,hAPP(c_List_Oset(X31),X29),X31)
| ~ c_in(X30,hAPP(c_List_Oset(X31),c_List_Obutlast(X29,X31)),X31) ),
inference(variable_rename,[status(thm)],[c_0_957]) ).
fof(c_0_1568,plain,
! [X29,X30,X31] : c_List_Orev(c_List_Olist_OCons(X30,X29,X31),X31) = c_List_Oappend(c_List_Orev(X29,X31),c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31),X31),
inference(variable_rename,[status(thm)],[c_0_958]) ).
fof(c_0_1569,plain,
! [X21,X22,X23,X24] :
( c_in(X22,X23,X24)
| X22 = X21
| ~ c_in(X22,c_Set_Oinsert(X21,X23,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_959]) ).
fof(c_0_1570,plain,
! [X68,X69,X70,X71] :
( c_DefAss_O_092_060D_062(X68,X70,X71)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X68,X69,X71),X70,X71) ),
inference(variable_rename,[status(thm)],[c_0_960]) ).
fof(c_0_1571,plain,
! [X62,X63,X64,X65] :
( c_DefAss_O_092_060D_062(X62,X64,X65)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X63,X62,X65),X64,X65) ),
inference(variable_rename,[status(thm)],[c_0_961]) ).
fof(c_0_1572,plain,
! [X59,X60,X61,X62] :
( c_DefAss_O_092_060D_062(X59,X61,X62)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X60,X59,X62),X61,X62) ),
inference(variable_rename,[status(thm)],[c_0_962]) ).
fof(c_0_1573,plain,
! [X40,X41,X42,X43] :
( c_DefAss_O_092_060D_062(X41,X42,X43)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X41,X40,X43),X42,X43) ),
inference(variable_rename,[status(thm)],[c_0_963]) ).
fof(c_0_1574,plain,
! [X41,X42,X43,X44] :
( c_List_Orev(X43,X44) != c_List_Olist_OCons(X42,X41,X44)
| X43 = c_List_Oappend(c_List_Orev(X41,X44),c_List_Olist_OCons(X42,c_List_Olist_ONil(X44),X44),X44) ),
inference(variable_rename,[status(thm)],[c_0_964]) ).
fof(c_0_1575,plain,
! [X26,X27,X28,X29] :
( c_lessequals(X28,c_Set_Oinsert(X26,X27,X29),tc_fun(X29,tc_bool))
| ~ c_lessequals(X28,X27,tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_965]) ).
fof(c_0_1576,plain,
! [X22,X23,X24] : c_Fun_Oinj__on(X22,c_Orderings_Obot__class_Obot(tc_fun(X24,tc_bool)),X24,X23),
inference(variable_rename,[status(thm)],[c_0_966]) ).
fof(c_0_1577,plain,
! [X41,X42,X43,X44] :
( hBOOL(hAPP(c_Set_Oinsert(X41,X43,X44),X42))
| ~ hBOOL(hAPP(X43,X42)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_967])])]) ).
fof(c_0_1578,plain,
! [X28,X29,X30,X31] :
( c_Set_Oinsert(X28,X30,X31) != c_Set_Oinsert(X28,X29,X31)
| c_in(X28,X29,X31)
| c_in(X28,X30,X31)
| X30 = X29 ),
inference(variable_rename,[status(thm)],[c_0_968]) ).
fof(c_0_1579,plain,
! [X28,X29] : c_in(X28,c_Set_Oinsert(X28,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29),
inference(variable_rename,[status(thm)],[c_0_969]) ).
fof(c_0_1580,plain,
! [X50,X51,X52,X53] :
( c_List_OtakeWhile(X52,X50,X53) != X50
| hBOOL(hAPP(X52,X51))
| ~ c_in(X51,hAPP(c_List_Oset(X53),X50),X53) ),
inference(variable_rename,[status(thm)],[c_0_970]) ).
fof(c_0_1581,plain,
! [X85,X86,X87,X88] :
( c_in(X85,X86,X88)
| ~ c_in(X85,X87,X88)
| ~ c_lessequals(X87,X86,tc_fun(X88,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_971]) ).
fof(c_0_1582,plain,
! [X28,X29,X30,X31] :
( c_in(X28,X29,X31)
| ~ c_lessequals(X30,X29,tc_fun(X31,tc_bool))
| ~ c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_972]) ).
fof(c_0_1583,plain,
! [X68,X69,X70,X71] :
( c_in(X68,X69,X71)
| ~ c_in(X68,X70,X71)
| ~ c_lessequals(X70,X69,tc_fun(X71,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_973]) ).
fof(c_0_1584,plain,
! [X28,X29,X30,X31] :
( c_in(X28,X29,X31)
| ~ c_in(X28,X30,X31)
| ~ c_lessequals(X30,X29,tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_974]) ).
fof(c_0_1585,plain,
! [X21,X22] : c_Fun_Oinj__on(c_Option_Ooption_OSome(X22),X21,X22,tc_Option_Ooption(X22)),
inference(variable_rename,[status(thm)],[c_0_975]) ).
fof(c_0_1586,plain,
! [X22,X23,X24] : c_Option_Omap(X22,c_Option_Ooption_ONone(X23),X23,X24) = c_Option_Ooption_ONone(X24),
inference(variable_rename,[status(thm)],[c_0_976]) ).
fof(c_0_1587,plain,
! [X29,X30] :
( c_List_Oappend(c_List_Obutlast(X29,X30),c_List_Olist_OCons(c_List_Olast(X29,X30),c_List_Olist_ONil(X30),X30),X30) = X29
| X29 = c_List_Olist_ONil(X30) ),
inference(variable_rename,[status(thm)],[c_0_977]) ).
fof(c_0_1588,plain,
! [X62,X63,X64,X65] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X63,X62,X65),X64,X65)
| ~ c_DefAss_O_092_060D_062(X62,X64,X65) ),
inference(variable_rename,[status(thm)],[c_0_978]) ).
fof(c_0_1589,plain,
! [X59,X60,X61,X62] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X60,X59,X62),X61,X62)
| ~ c_DefAss_O_092_060D_062(X59,X61,X62) ),
inference(variable_rename,[status(thm)],[c_0_979]) ).
fof(c_0_1590,plain,
! [X21,X22,X23,X24] :
( c_in(X22,c_Set_Oinsert(X21,X23,X24),X24)
| ~ c_in(X22,X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_980]) ).
fof(c_0_1591,plain,
! [X26,X27,X28,X29] :
( c_in(X27,c_Set_Oinsert(X26,X28,X29),X29)
| ~ c_in(X27,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_981]) ).
fof(c_0_1592,plain,
! [X26,X27,X28] :
( X27 = X26
| ~ c_lessequals(X26,X27,tc_fun(X28,tc_bool))
| ~ c_lessequals(X27,X26,tc_fun(X28,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_982])])]) ).
fof(c_0_1593,plain,
! [X26,X27,X28] :
( X27 = X26
| ~ c_lessequals(X26,X27,tc_fun(X28,tc_bool))
| ~ c_lessequals(X27,X26,tc_fun(X28,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_983])])]) ).
fof(c_0_1594,plain,
! [X28,X29,X30] : hBOOL(hAPP(c_Set_Oinsert(X28,X29,X30),X28)),
inference(variable_rename,[status(thm)],[c_0_984]) ).
fof(c_0_1595,plain,
! [X35,X36,X37,X38,X39] :
( ~ class_HOL_Oord(X38)
| c_lessequals(hAPP(X37,X35),hAPP(X36,X35),X38)
| ~ c_lessequals(X37,X36,tc_fun(X39,X38)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_985])])]) ).
fof(c_0_1596,plain,
! [X29,X30,X31] :
( c_List_Odistinct(c_List_Olist_OCons(X30,X29,X31),X31)
| ~ c_List_Odistinct(X29,X31)
| c_in(X30,hAPP(c_List_Oset(X31),X29),X31) ),
inference(variable_rename,[status(thm)],[c_0_986]) ).
fof(c_0_1597,plain,
! [X70,X71,X72,X73] :
( ~ class_Orderings_Opreorder(X73)
| c_lessequals(X72,X70,X73)
| ~ c_lessequals(X71,X70,X73)
| ~ c_lessequals(X72,X71,X73) ),
inference(variable_rename,[status(thm)],[c_0_987]) ).
fof(c_0_1598,plain,
! [X70,X71,X72,X73] :
( ~ class_Orderings_Oorder(X73)
| c_lessequals(X70,X72,X73)
| ~ c_lessequals(X70,X71,X73)
| ~ c_lessequals(X71,X72,X73) ),
inference(variable_rename,[status(thm)],[c_0_988]) ).
fof(c_0_1599,plain,
! [X73,X74,X75] :
( c_in(X74,c_Transitive__Closure_Ortrancl(X73,X75),tc_prod(X75,X75))
| ~ c_in(X74,X73,tc_prod(X75,X75)) ),
inference(variable_rename,[status(thm)],[c_0_989]) ).
fof(c_0_1600,plain,
! [X21,X22] :
( X21 = c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool))
| ~ c_lessequals(X21,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool)),tc_fun(X22,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_990]) ).
fof(c_0_1601,plain,
! [X100,X101,X102] :
( c_List_Olist_ONil(X102) != c_List_Oconcat(X100,X102)
| X101 = c_List_Olist_ONil(X102)
| ~ c_in(X101,hAPP(c_List_Oset(tc_List_Olist(X102)),X100),tc_List_Olist(X102)) ),
inference(variable_rename,[status(thm)],[c_0_991]) ).
fof(c_0_1602,plain,
! [X100,X101,X102] :
( c_List_Oconcat(X100,X102) != c_List_Olist_ONil(X102)
| X101 = c_List_Olist_ONil(X102)
| ~ c_in(X101,hAPP(c_List_Oset(tc_List_Olist(X102)),X100),tc_List_Olist(X102)) ),
inference(variable_rename,[status(thm)],[c_0_992]) ).
fof(c_0_1603,plain,
! [X99,X100,X101,X102] :
( c_DefAss_O_092_060D_062(X99,X100,X102)
| ~ c_DefAss_O_092_060D_062(X99,X101,X102)
| ~ c_DefAss_Ohyper__subset(X101,X100,X102) ),
inference(variable_rename,[status(thm)],[c_0_993]) ).
fof(c_0_1604,plain,
! [X99,X100,X101,X102] :
( c_DefAss_O_092_060D_062(X99,X100,X102)
| ~ c_DefAss_Ohyper__subset(X101,X100,X102)
| ~ c_DefAss_O_092_060D_062(X99,X101,X102) ),
inference(variable_rename,[status(thm)],[c_0_994]) ).
fof(c_0_1605,plain,
! [X33,X34,X35] : c_List_Orev(c_List_Oappend(X34,X33,X35),X35) = c_List_Oappend(c_List_Orev(X33,X35),c_List_Orev(X34,X35),X35),
inference(variable_rename,[status(thm)],[c_0_995]) ).
fof(c_0_1606,plain,
! [X40,X41,X42] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OSeq(X41,X40,X42),X42) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X41,X42),c_DefAss_O_092_060A_062(X40,X42),X42),
inference(variable_rename,[status(thm)],[c_0_996]) ).
fof(c_0_1607,plain,
! [X29,X30,X31] : c_List_Olist_OCons(X30,X29,X31) = c_List_Oappend(c_List_Olist_ONil(X31),c_List_Olist_OCons(X30,X29,X31),X31),
inference(variable_rename,[status(thm)],[c_0_997]) ).
fof(c_0_1608,plain,
! [X29,X30,X31] : c_List_Osplice(c_List_Olist_OCons(X30,X29,X31),c_List_Olist_ONil(X31),X31) = c_List_Olist_OCons(X30,X29,X31),
inference(variable_rename,[status(thm)],[c_0_998]) ).
fof(c_0_1609,plain,
! [X29,X30,X31] : c_List_Oappend(c_List_Olist_ONil(X31),c_List_Olist_OCons(X30,X29,X31),X31) = c_List_Olist_OCons(X30,X29,X31),
inference(variable_rename,[status(thm)],[c_0_999]) ).
fof(c_0_1610,plain,
! [X86,X87,X88] :
( c_lessequals(X88,X86,tc_nat)
| ~ c_lessequals(X87,X86,tc_nat)
| ~ c_lessequals(X88,X87,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1000]) ).
fof(c_0_1611,plain,
! [X29,X30,X31] : hAPP(c_List_Oset(X31),c_List_Olist_OCons(X30,X29,X31)) = c_Set_Oinsert(X30,hAPP(c_List_Oset(X31),X29),X31),
inference(variable_rename,[status(thm)],[c_0_1001]) ).
fof(c_0_1612,plain,
! [X28,X29,X30] : c_Set_Oinsert(X28,c_Set_Oinsert(X28,X29,X30),X30) = c_Set_Oinsert(X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_1002]) ).
fof(c_0_1613,plain,
! [X50,X51,X52] :
( ~ hBOOL(hAPP(X51,X50))
| ~ c_in(X50,c_Orderings_Obot__class_Obot(tc_fun(X52,tc_bool)),X52) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1003])])]) ).
fof(c_0_1614,plain,
! [X29,X30,X31] : c_List_Oconcat(c_List_Olist_OCons(X30,X29,tc_List_Olist(X31)),X31) = c_List_Oappend(X30,c_List_Oconcat(X29,X31),X31),
inference(variable_rename,[status(thm)],[c_0_1004]) ).
fof(c_0_1615,plain,
! [X33,X34,X35] :
( ~ class_Orderings_Olinorder(X35)
| c_List_Olinorder__class_Osorted(X34,X35)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X34,X33,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1005]) ).
fof(c_0_1616,plain,
! [X33,X34,X35] :
( ~ class_Orderings_Olinorder(X35)
| c_List_Olinorder__class_Osorted(X33,X35)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X34,X33,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1006]) ).
fof(c_0_1617,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Olinorder(X31)
| c_List_Olinorder__class_Osorted(X29,X31)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X30,X29,X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_1007]) ).
fof(c_0_1618,plain,
! [X28,X29] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X28)),
inference(variable_rename,[status(thm)],[c_0_1008]) ).
fof(c_0_1619,plain,
! [X29,X30,X31] :
( c_List_Obutlast(c_List_Olist_OCons(X30,X29,X31),X31) = c_List_Olist_OCons(X30,c_List_Obutlast(X29,X31),X31)
| X29 = c_List_Olist_ONil(X31) ),
inference(variable_rename,[status(thm)],[c_0_1009]) ).
fof(c_0_1620,plain,
! [X33,X34,X35] :
( c_List_Obutlast(c_List_Oappend(X34,X33,X35),X35) = c_List_Oappend(X34,c_List_Obutlast(X33,X35),X35)
| X33 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1010]) ).
fof(c_0_1621,plain,
! [X29,X30,X31] :
( c_List_Odistinct(X29,X31)
| ~ c_List_Odistinct(c_List_Olist_OCons(X30,X29,X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_1011]) ).
fof(c_0_1622,plain,
! [X33,X34,X35] :
( c_List_Odistinct(X33,X35)
| ~ c_List_Odistinct(c_List_Oappend(X34,X33,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1012]) ).
fof(c_0_1623,plain,
! [X33,X34,X35] :
( c_List_Odistinct(X34,X35)
| ~ c_List_Odistinct(c_List_Oappend(X34,X33,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1013]) ).
fof(c_0_1624,plain,
! [X87,X88,X89,X90] :
( hBOOL(hAPP(X88,X87))
| ~ c_lessequals(X89,X88,tc_fun(X90,tc_bool))
| ~ hBOOL(hAPP(X89,X87)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1014])])]) ).
fof(c_0_1625,plain,
! [X87,X88,X89,X90] :
( hBOOL(hAPP(X88,X87))
| ~ hBOOL(hAPP(X89,X87))
| ~ c_lessequals(X89,X88,tc_fun(X90,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1015])])]) ).
fof(c_0_1626,plain,
! [X50,X51,X52] :
( hBOOL(hAPP(X51,X50))
| ~ c_in(X50,c_Orderings_Obot__class_Obot(tc_fun(X52,tc_bool)),X52) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1016])])]) ).
fof(c_0_1627,plain,
! [X50,X51,X52,X53] :
( c_List_OtakeWhile(X52,c_List_Olist_OCons(X51,X50,X53),X53) = c_List_Olist_ONil(X53)
| hBOOL(hAPP(X52,X51)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1017])])]) ).
fof(c_0_1628,plain,
! [X28,X29] : c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29) = c_List_Orev(c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29),X29),
inference(variable_rename,[status(thm)],[c_0_1018]) ).
fof(c_0_1629,plain,
! [X28,X29] : c_List_Orev(c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29),X29) = c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29),
inference(variable_rename,[status(thm)],[c_0_1019]) ).
fof(c_0_1630,plain,
! [X26,X27,X28] : c_lessequals(X27,c_Set_Oinsert(X26,X27,X28),tc_fun(X28,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1020]) ).
fof(c_0_1631,plain,
! [X58,X59,X60] :
( c_Set_Oinsert(X59,X58,X60) != c_Orderings_Obot__class_Obot(tc_fun(X60,tc_bool))
| c_in(X59,X58,X60) ),
inference(variable_rename,[status(thm)],[c_0_1021]) ).
fof(c_0_1632,plain,
! [X41,X42,X43] :
( ~ class_Orderings_Oorder(X43)
| X42 = X41
| ~ c_lessequals(X42,X41,X43)
| ~ c_lessequals(X41,X42,X43) ),
inference(variable_rename,[status(thm)],[c_0_1022]) ).
fof(c_0_1633,plain,
! [X41,X42,X43] :
( ~ class_Orderings_Oorder(X43)
| X42 = X41
| ~ c_lessequals(X41,X42,X43)
| ~ c_lessequals(X42,X41,X43) ),
inference(variable_rename,[status(thm)],[c_0_1023]) ).
fof(c_0_1634,plain,
! [X41,X42,X43] :
( ~ class_Orderings_Oorder(X43)
| X42 = X41
| ~ c_lessequals(X41,X42,X43)
| ~ c_lessequals(X42,X41,X43) ),
inference(variable_rename,[status(thm)],[c_0_1024]) ).
fof(c_0_1635,plain,
! [X43,X44,X45] :
( c_DefAss_O_092_060D_062(X43,X44,X45)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X43,X45),X44,X45) ),
inference(variable_rename,[status(thm)],[c_0_1025]) ).
fof(c_0_1636,plain,
! [X5] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1026]) ).
fof(c_0_1637,plain,
! [X29,X30,X31] :
( c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31) != c_List_Orev(X29,X31)
| X29 = c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_1027]) ).
fof(c_0_1638,plain,
! [X29,X30,X31] :
( c_List_Orev(X29,X31) != c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31)
| X29 = c_List_Olist_OCons(X30,c_List_Olist_ONil(X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_1028]) ).
fof(c_0_1639,plain,
! [X63,X64] :
( ~ c_lessequals(X64,X63,tc_nat)
| ~ c_lessequals(c_Suc(X63),X64,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1029]) ).
fof(c_0_1640,plain,
! [X16,X17,X18,X19,X20] :
( c_List_Olist_OCons(X19,X17,X20) != c_List_Olist_OCons(X18,X16,X20)
| X19 = X18 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1030])])]) ).
fof(c_0_1641,plain,
! [X16,X17,X18,X19,X20] :
( c_List_Olist_OCons(X19,X17,X20) != c_List_Olist_OCons(X18,X16,X20)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1031])])]) ).
fof(c_0_1642,plain,
! [X10,X11,X12,X13,X14] :
( c_Expr_Oexp_OSeq(X13,X11,X14) != c_Expr_Oexp_OSeq(X12,X10,X14)
| X11 = X10 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1032])])]) ).
fof(c_0_1643,plain,
! [X10,X11,X12,X13,X14] :
( c_Expr_Oexp_OSeq(X13,X11,X14) != c_Expr_Oexp_OSeq(X12,X10,X14)
| X13 = X12 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1033])])]) ).
fof(c_0_1644,plain,
! [X10,X11,X12,X13,X14] :
( c_Expr_Oexp_OWhile(X13,X11,X14) != c_Expr_Oexp_OWhile(X12,X10,X14)
| X11 = X10 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1034])])]) ).
fof(c_0_1645,plain,
! [X10,X11,X12,X13,X14] :
( c_Expr_Oexp_OWhile(X13,X11,X14) != c_Expr_Oexp_OWhile(X12,X10,X14)
| X13 = X12 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1035])])]) ).
fof(c_0_1646,plain,
! [X15,X16,X17,X18,X19] :
( c_Expr_Oexp_OLAss(X18,X16,X19) != c_Expr_Oexp_OLAss(X17,X15,X19)
| X18 = X17 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1036])])]) ).
fof(c_0_1647,plain,
! [X15,X16,X17,X18,X19] :
( c_Expr_Oexp_OLAss(X18,X16,X19) != c_Expr_Oexp_OLAss(X17,X15,X19)
| X16 = X15 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1037])])]) ).
fof(c_0_1648,plain,
! [X16,X17,X18,X19,X20] :
( c_Expr_Oexp_OCast(X17,X19,X20) != c_Expr_Oexp_OCast(X16,X18,X20)
| X19 = X18 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1038])])]) ).
fof(c_0_1649,plain,
! [X16,X17,X18,X19,X20] :
( c_Expr_Oexp_OCast(X17,X19,X20) != c_Expr_Oexp_OCast(X16,X18,X20)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1039])])]) ).
fof(c_0_1650,plain,
! [X33,X34,X35,X36] :
( c_List_Oappend(X35,X34,X36) != c_List_Oappend(X35,X33,X36)
| X34 = X33 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1040])])]) ).
fof(c_0_1651,plain,
! [X33,X34,X35,X36] :
( c_List_Oappend(X34,X35,X36) != c_List_Oappend(X33,X35,X36)
| X34 = X33 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1041])])]) ).
fof(c_0_1652,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OCast(X16,X18,X20) != c_Expr_Oexp_OLAss(X19,X17,X20),
inference(variable_rename,[status(thm)],[c_0_1042]) ).
fof(c_0_1653,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OCast(X16,X19,X20) != c_Expr_Oexp_OSeq(X18,X17,X20),
inference(variable_rename,[status(thm)],[c_0_1043]) ).
fof(c_0_1654,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OWhile(X18,X17,X20) != c_Expr_Oexp_OCast(X16,X19,X20),
inference(variable_rename,[status(thm)],[c_0_1044]) ).
fof(c_0_1655,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OSeq(X18,X17,X20) != c_Expr_Oexp_OCast(X16,X19,X20),
inference(variable_rename,[status(thm)],[c_0_1045]) ).
fof(c_0_1656,plain,
! [X10,X11,X12,X13,X14] : c_Expr_Oexp_OWhile(X12,X10,X14) != c_Expr_Oexp_OSeq(X13,X11,X14),
inference(variable_rename,[status(thm)],[c_0_1046]) ).
fof(c_0_1657,plain,
! [X15,X16,X17,X18,X19] : c_Expr_Oexp_OSeq(X16,X15,X19) != c_Expr_Oexp_OLAss(X18,X17,X19),
inference(variable_rename,[status(thm)],[c_0_1047]) ).
fof(c_0_1658,plain,
! [X15,X16,X17,X18,X19] : c_Expr_Oexp_OWhile(X16,X15,X19) != c_Expr_Oexp_OLAss(X18,X17,X19),
inference(variable_rename,[status(thm)],[c_0_1048]) ).
fof(c_0_1659,plain,
! [X15,X16,X17,X18,X19] : c_Expr_Oexp_OLAss(X18,X17,X19) != c_Expr_Oexp_OWhile(X16,X15,X19),
inference(variable_rename,[status(thm)],[c_0_1049]) ).
fof(c_0_1660,plain,
! [X10,X11,X12,X13,X14] : c_Expr_Oexp_OSeq(X13,X11,X14) != c_Expr_Oexp_OWhile(X12,X10,X14),
inference(variable_rename,[status(thm)],[c_0_1050]) ).
fof(c_0_1661,plain,
! [X15,X16,X17,X18,X19] : c_Expr_Oexp_OLAss(X18,X17,X19) != c_Expr_Oexp_OSeq(X16,X15,X19),
inference(variable_rename,[status(thm)],[c_0_1051]) ).
fof(c_0_1662,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OCast(X16,X19,X20) != c_Expr_Oexp_OWhile(X18,X17,X20),
inference(variable_rename,[status(thm)],[c_0_1052]) ).
fof(c_0_1663,plain,
! [X16,X17,X18,X19,X20] : c_Expr_Oexp_OLAss(X19,X17,X20) != c_Expr_Oexp_OCast(X16,X18,X20),
inference(variable_rename,[status(thm)],[c_0_1053]) ).
fof(c_0_1664,plain,
! [X63,X64] :
( X64 = X63
| ~ c_lessequals(X63,X64,tc_nat)
| ~ c_lessequals(X64,X63,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1054]) ).
fof(c_0_1665,plain,
! [X58,X59,X60] : c_Nat_Osize__class_Osize(c_List_Olist_OCons(X59,X58,X60),tc_List_Olist(X60)) = c_Suc(c_Nat_Osize__class_Osize(X58,tc_List_Olist(X60))),
inference(variable_rename,[status(thm)],[c_0_1055]) ).
fof(c_0_1666,plain,
! [X58,X59,X60] : c_Suc(c_Nat_Osize__class_Osize(X58,tc_List_Olist(X60))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X59,X58,X60),tc_List_Olist(X60)),
inference(variable_rename,[status(thm)],[c_0_1056]) ).
fof(c_0_1667,plain,
! [X28,X29] : ~ c_in(X28,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),
inference(variable_rename,[status(thm)],[c_0_1057]) ).
fof(c_0_1668,plain,
! [X68,X69] : ~ c_in(X68,c_Orderings_Obot__class_Obot(tc_fun(X69,tc_bool)),X69),
inference(variable_rename,[status(thm)],[c_0_1058]) ).
fof(c_0_1669,plain,
! [X15,X16] : ~ c_in(X15,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),
inference(variable_rename,[status(thm)],[c_0_1059]) ).
fof(c_0_1670,plain,
! [X43,X44,X45] :
( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X43,X45),X44,X45)
| ~ c_DefAss_O_092_060D_062(X43,X44,X45) ),
inference(variable_rename,[status(thm)],[c_0_1060]) ).
fof(c_0_1671,plain,
! [X33,X34,X35] :
( ~ class_Orderings_Olinorder(X35)
| hAPP(c_List_Oset(X35),X34) != hAPP(c_List_Oset(X35),X33)
| ~ c_List_Odistinct(X33,X35)
| ~ c_List_Olinorder__class_Osorted(X33,X35)
| ~ c_List_Odistinct(X34,X35)
| ~ c_List_Olinorder__class_Osorted(X34,X35)
| X34 = X33 ),
inference(variable_rename,[status(thm)],[c_0_1061]) ).
fof(c_0_1672,plain,
! [X28,X29,X30] : c_in(X28,c_Set_Oinsert(X28,X29,X30),X30),
inference(variable_rename,[status(thm)],[c_0_1062]) ).
fof(c_0_1673,plain,
! [X26,X27,X28] : c_in(X26,c_Set_Oinsert(X26,X27,X28),X28),
inference(variable_rename,[status(thm)],[c_0_1063]) ).
fof(c_0_1674,plain,
! [X28,X29,X30] : c_in(X28,c_Set_Oinsert(X28,X29,X30),X30),
inference(variable_rename,[status(thm)],[c_0_1064]) ).
fof(c_0_1675,plain,
! [X59,X60] : c_DefAss_O_092_060A_062(c_Expr_Oexp_Onew(X59,X60),X60) = hAPP(c_Option_Ooption_OSome(tc_fun(X60,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X60,tc_bool))),
inference(variable_rename,[status(thm)],[c_0_1065]) ).
fof(c_0_1676,plain,
! [X27,X28] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OVal(X27,X28),X28) = hAPP(c_Option_Ooption_OSome(tc_fun(X28,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool))),
inference(variable_rename,[status(thm)],[c_0_1066]) ).
fof(c_0_1677,plain,
! [X63,X64] :
( c_lessequals(X63,X64,tc_nat)
| ~ c_lessequals(c_Suc(X63),c_Suc(X64),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1067]) ).
fof(c_0_1678,plain,
! [X63,X64] :
( X64 = c_Suc(X63)
| c_lessequals(X64,X63,tc_nat)
| ~ c_lessequals(X64,c_Suc(X63),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1068]) ).
fof(c_0_1679,plain,
! [X50,X51,X52] :
( ~ class_Orderings_Olinorder(X52)
| c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X51,X50,X52),X52)
| ~ c_List_Olinorder__class_Osorted(X50,X52) ),
inference(variable_rename,[status(thm)],[c_0_1069]) ).
fof(c_0_1680,plain,
! [X63,X64] :
( c_lessequals(c_Suc(X63),c_Suc(X64),tc_nat)
| ~ c_lessequals(X63,X64,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1070]) ).
fof(c_0_1681,plain,
! [X29,X30] : c_List_Olast(c_List_Oappend(X29,c_List_Olist_ONil(X30),X30),X30) = c_List_Olast(X29,X30),
inference(variable_rename,[status(thm)],[c_0_1071]) ).
fof(c_0_1682,plain,
! [X29,X30] : c_List_Obutlast(c_List_Oappend(X29,c_List_Olist_ONil(X30),X30),X30) = c_List_Obutlast(X29,X30),
inference(variable_rename,[status(thm)],[c_0_1072]) ).
fof(c_0_1683,plain,
! [X63,X64] :
( c_lessequals(X64,X63,tc_nat)
| ~ c_lessequals(c_Suc(X64),X63,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1073]) ).
fof(c_0_1684,plain,
! [X50,X51,X52] :
( c_List_Odistinct(c_List_OtakeWhile(X51,X50,X52),X52)
| ~ c_List_Odistinct(X50,X52) ),
inference(variable_rename,[status(thm)],[c_0_1074]) ).
fof(c_0_1685,plain,
! [X63,X64] :
( c_lessequals(X64,c_Suc(X63),tc_nat)
| ~ c_lessequals(X64,X63,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1075]) ).
fof(c_0_1686,plain,
! [X21,X22,X23] :
( c_Set_Oinsert(X21,X22,X23) = X22
| ~ c_in(X21,X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_1076]) ).
fof(c_0_1687,plain,
! [X28,X29] :
( ~ class_Orderings_Olinorder(X29)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_1077]) ).
fof(c_0_1688,plain,
! [X29,X30,X31] :
( c_List_Olast(c_List_Olist_OCons(X30,X29,X31),X31) = c_List_Olast(X29,X31)
| X29 = c_List_Olist_ONil(X31) ),
inference(variable_rename,[status(thm)],[c_0_1078]) ).
fof(c_0_1689,plain,
! [X33,X34,X35] :
( c_List_Olast(c_List_Oappend(X34,X33,X35),X35) = c_List_Olast(X33,X35)
| X33 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1079]) ).
fof(c_0_1690,plain,
! [X28,X29] : c_List_Obutlast(c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29),X29) = c_List_Olist_ONil(X29),
inference(variable_rename,[status(thm)],[c_0_1080]) ).
fof(c_0_1691,plain,
! [X59,X60,X61] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OCast(X60,X59,X61),X61) = c_DefAss_O_092_060A_062(X59,X61),
inference(variable_rename,[status(thm)],[c_0_1081]) ).
fof(c_0_1692,plain,
! [X43,X44,X45] : c_DefAss_O_092_060A_062(c_Expr_Oexp_OWhile(X44,X43,X45),X45) = c_DefAss_O_092_060A_062(X44,X45),
inference(variable_rename,[status(thm)],[c_0_1082]) ).
fof(c_0_1693,plain,
! [X28,X29] : c_List_Olast(c_List_Olist_OCons(X28,c_List_Olist_ONil(X29),X29),X29) = X28,
inference(variable_rename,[status(thm)],[c_0_1083]) ).
fof(c_0_1694,plain,
! [X21,X22] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool)),X21,tc_fun(X22,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1084]) ).
fof(c_0_1695,plain,
! [X21,X22,X23] : c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)) != c_Set_Oinsert(X21,X22,X23),
inference(variable_rename,[status(thm)],[c_0_1085]) ).
fof(c_0_1696,plain,
! [X21,X22,X23] : c_Set_Oinsert(X21,X22,X23) != c_Orderings_Obot__class_Obot(tc_fun(X23,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1086]) ).
fof(c_0_1697,plain,
! [X61,X62] :
( c_in(c_List_Olast(X61,X62),hAPP(c_List_Oset(X62),X61),X62)
| X61 = c_List_Olist_ONil(X62) ),
inference(variable_rename,[status(thm)],[c_0_1087]) ).
fof(c_0_1698,plain,
! [X41,X42,X43] :
( ~ class_Orderings_Olinorder(X43)
| c_lessequals(X41,X42,X43)
| c_lessequals(X42,X41,X43) ),
inference(variable_rename,[status(thm)],[c_0_1088]) ).
fof(c_0_1699,plain,
! [X55,X56,X57] :
( hBOOL(hAPP(X56,X55))
| ~ c_in(X55,X56,X57) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1089])])]) ).
fof(c_0_1700,plain,
! [X63,X64] :
( c_lessequals(c_Suc(X63),X64,tc_nat)
| c_lessequals(X64,X63,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1090]) ).
fof(c_0_1701,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_Onew(X16,X19) != c_Expr_Oexp_OWhile(X18,X17,X19),
inference(variable_rename,[status(thm)],[c_0_1091]) ).
fof(c_0_1702,plain,
! [X30,X31,X32,X33] : c_Expr_Oexp_OVal(X30,X33) != c_Expr_Oexp_OSeq(X32,X31,X33),
inference(variable_rename,[status(thm)],[c_0_1092]) ).
fof(c_0_1703,plain,
! [X5,X6,X7,X8] : c_Expr_Oexp_Othrow(X5,X8) != c_Expr_Oexp_OWhile(X7,X6,X8),
inference(variable_rename,[status(thm)],[c_0_1093]) ).
fof(c_0_1704,plain,
! [X46,X47,X48,X49] : c_Expr_Oexp_OVal(X46,X49) != c_Expr_Oexp_OCast(X47,X48,X49),
inference(variable_rename,[status(thm)],[c_0_1094]) ).
fof(c_0_1705,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_OSeq(X18,X17,X19) != c_Expr_Oexp_Onew(X16,X19),
inference(variable_rename,[status(thm)],[c_0_1095]) ).
fof(c_0_1706,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_Onew(X16,X19) != c_Expr_Oexp_OSeq(X18,X17,X19),
inference(variable_rename,[status(thm)],[c_0_1096]) ).
fof(c_0_1707,plain,
! [X15,X16,X17,X18] : c_Expr_Oexp_Othrow(X15,X18) != c_Expr_Oexp_OLAss(X17,X16,X18),
inference(variable_rename,[status(thm)],[c_0_1097]) ).
fof(c_0_1708,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_OLAss(X18,X17,X19) != c_Expr_Oexp_Onew(X16,X19),
inference(variable_rename,[status(thm)],[c_0_1098]) ).
fof(c_0_1709,plain,
! [X30,X31,X32,X33] : c_Expr_Oexp_OSeq(X32,X31,X33) != c_Expr_Oexp_OVal(X30,X33),
inference(variable_rename,[status(thm)],[c_0_1099]) ).
fof(c_0_1710,plain,
! [X30,X31,X32,X33] : c_Expr_Oexp_OWhile(X32,X31,X33) != c_Expr_Oexp_OVal(X30,X33),
inference(variable_rename,[status(thm)],[c_0_1100]) ).
fof(c_0_1711,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_Onew(X16,X19) != c_Expr_Oexp_OLAss(X18,X17,X19),
inference(variable_rename,[status(thm)],[c_0_1101]) ).
fof(c_0_1712,plain,
! [X5,X6,X7,X8] : c_Expr_Oexp_OSeq(X7,X6,X8) != c_Expr_Oexp_Othrow(X5,X8),
inference(variable_rename,[status(thm)],[c_0_1102]) ).
fof(c_0_1713,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_OWhile(X18,X17,X19) != c_Expr_Oexp_Onew(X16,X19),
inference(variable_rename,[status(thm)],[c_0_1103]) ).
fof(c_0_1714,plain,
! [X30,X31,X32,X33] : c_Expr_Oexp_OVal(X30,X33) != c_Expr_Oexp_OWhile(X32,X31,X33),
inference(variable_rename,[status(thm)],[c_0_1104]) ).
fof(c_0_1715,plain,
! [X46,X47,X48,X49] : c_Expr_Oexp_OCast(X47,X48,X49) != c_Expr_Oexp_OVal(X46,X49),
inference(variable_rename,[status(thm)],[c_0_1105]) ).
fof(c_0_1716,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_OCast(X16,X18,X19) != c_Expr_Oexp_Othrow(X17,X19),
inference(variable_rename,[status(thm)],[c_0_1106]) ).
fof(c_0_1717,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_Onew(X17,X19) != c_Expr_Oexp_OCast(X16,X18,X19),
inference(variable_rename,[status(thm)],[c_0_1107]) ).
fof(c_0_1718,plain,
! [X30,X31,X32,X33] : c_Expr_Oexp_OLAss(X32,X31,X33) != c_Expr_Oexp_OVal(X30,X33),
inference(variable_rename,[status(thm)],[c_0_1108]) ).
fof(c_0_1719,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_Othrow(X17,X19) != c_Expr_Oexp_OCast(X16,X18,X19),
inference(variable_rename,[status(thm)],[c_0_1109]) ).
fof(c_0_1720,plain,
! [X5,X6,X7,X8] : c_Expr_Oexp_OWhile(X7,X6,X8) != c_Expr_Oexp_Othrow(X5,X8),
inference(variable_rename,[status(thm)],[c_0_1110]) ).
fof(c_0_1721,plain,
! [X30,X31,X32,X33] : c_Expr_Oexp_OVal(X30,X33) != c_Expr_Oexp_OLAss(X32,X31,X33),
inference(variable_rename,[status(thm)],[c_0_1111]) ).
fof(c_0_1722,plain,
! [X15,X16,X17,X18] : c_Expr_Oexp_OLAss(X17,X16,X18) != c_Expr_Oexp_Othrow(X15,X18),
inference(variable_rename,[status(thm)],[c_0_1112]) ).
fof(c_0_1723,plain,
! [X16,X17,X18,X19] : c_Expr_Oexp_OCast(X16,X18,X19) != c_Expr_Oexp_Onew(X17,X19),
inference(variable_rename,[status(thm)],[c_0_1113]) ).
fof(c_0_1724,plain,
! [X5,X6,X7,X8] : c_Expr_Oexp_Othrow(X5,X8) != c_Expr_Oexp_OSeq(X7,X6,X8),
inference(variable_rename,[status(thm)],[c_0_1114]) ).
fof(c_0_1725,plain,
! [X63,X64] :
( c_lessequals(X63,X64,tc_nat)
| c_lessequals(X64,X63,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1115]) ).
fof(c_0_1726,plain,
! [X55,X56,X57] :
( c_in(X55,X56,X57)
| ~ hBOOL(hAPP(X56,X55)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1116])])]) ).
fof(c_0_1727,plain,
! [X33,X34,X35] :
( c_List_Olist_ONil(X35) != c_List_Oappend(X34,X33,X35)
| X34 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1117]) ).
fof(c_0_1728,plain,
! [X33,X34,X35] :
( c_List_Olist_ONil(X35) != c_List_Oappend(X34,X33,X35)
| X33 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1118]) ).
fof(c_0_1729,plain,
! [X33,X34,X35] :
( c_List_Oappend(X34,X33,X35) != c_List_Olist_ONil(X35)
| X34 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1119]) ).
fof(c_0_1730,plain,
! [X33,X34,X35] :
( c_List_Oappend(X34,X33,X35) != c_List_Olist_ONil(X35)
| X33 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1120]) ).
fof(c_0_1731,plain,
! [X63] : ~ c_lessequals(c_Suc(X63),X63,tc_nat),
inference(variable_rename,[status(thm)],[c_0_1121]) ).
fof(c_0_1732,plain,
! [X33,X34,X35] :
( c_List_Oappend(X34,X33,X35) != X34
| X33 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1122]) ).
fof(c_0_1733,plain,
! [X33,X34,X35] :
( X34 != c_List_Oappend(X34,X33,X35)
| X33 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1123]) ).
fof(c_0_1734,plain,
! [X33,X34,X35] :
( c_List_Oappend(X34,X33,X35) != X33
| X34 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1124]) ).
fof(c_0_1735,plain,
! [X33,X34,X35] :
( X33 != c_List_Oappend(X34,X33,X35)
| X34 = c_List_Olist_ONil(X35) ),
inference(variable_rename,[status(thm)],[c_0_1125]) ).
fof(c_0_1736,plain,
! [X63] :
( X63 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X63,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1126]) ).
fof(c_0_1737,plain,
! [X13,X14,X15] : c_List_Olist_OCons(X14,X13,X15) != c_List_Olist_ONil(X15),
inference(variable_rename,[status(thm)],[c_0_1127]) ).
fof(c_0_1738,plain,
! [X58,X59,X60] : c_List_Olist_OCons(X59,X58,X60) != c_List_Olist_ONil(X60),
inference(variable_rename,[status(thm)],[c_0_1128]) ).
fof(c_0_1739,plain,
! [X13,X14,X15] : c_List_Olist_ONil(X15) != c_List_Olist_OCons(X14,X13,X15),
inference(variable_rename,[status(thm)],[c_0_1129]) ).
fof(c_0_1740,plain,
! [X106,X107,X108] :
( X107 = X106
| ~ c_fequal(X107,X106,X108) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1130])])]) ).
fof(c_0_1741,plain,
! [X29,X30,X31] : X29 != c_List_Olist_OCons(X30,X29,X31),
inference(variable_rename,[status(thm)],[c_0_1131]) ).
fof(c_0_1742,plain,
! [X85,X86,X87] : c_List_Olist_OCons(X85,X86,X87) != X86,
inference(variable_rename,[status(thm)],[c_0_1132]) ).
fof(c_0_1743,plain,
! [X28,X29] : ~ c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X29),X28),X29),
inference(variable_rename,[status(thm)],[c_0_1133]) ).
fof(c_0_1744,plain,
! [X59,X60,X61] : c_DefAss_O_092_060D_062(c_Expr_Oexp_Onew(X59,X61),X60,X61),
inference(variable_rename,[status(thm)],[c_0_1134]) ).
fof(c_0_1745,plain,
! [X27,X28,X29] : c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X27,X29),X28,X29),
inference(variable_rename,[status(thm)],[c_0_1135]) ).
fof(c_0_1746,plain,
! [X29,X30] :
( c_Orderings_Obot__class_Obot(tc_fun(X30,tc_bool)) != hAPP(c_List_Oset(X30),X29)
| X29 = c_List_Olist_ONil(X30) ),
inference(variable_rename,[status(thm)],[c_0_1136]) ).
fof(c_0_1747,plain,
! [X29,X30] :
( hAPP(c_List_Oset(X30),X29) != c_Orderings_Obot__class_Obot(tc_fun(X30,tc_bool))
| X29 = c_List_Olist_ONil(X30) ),
inference(variable_rename,[status(thm)],[c_0_1137]) ).
fof(c_0_1748,plain,
! [X29,X30] :
( c_List_Odistinct(X29,X30)
| ~ c_List_Odistinct(c_List_Orev(X29,X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_1138]) ).
fof(c_0_1749,plain,
! [X21,X22] : c_lessequals(X21,X21,tc_fun(X22,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1139]) ).
fof(c_0_1750,plain,
! [X28,X29] : c_lessequals(X28,X28,tc_fun(X29,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1140]) ).
fof(c_0_1751,plain,
! [X5] : c_List_Olist_ONil(X5) = c_List_Oappend(c_List_Olist_ONil(X5),c_List_Olist_ONil(X5),X5),
inference(variable_rename,[status(thm)],[c_0_1141]) ).
fof(c_0_1752,plain,
! [X5] : c_List_Oappend(c_List_Olist_ONil(X5),c_List_Olist_ONil(X5),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_1142]) ).
fof(c_0_1753,plain,
! [X28,X29] :
( ~ class_Orderings_Obot(X29)
| c_lessequals(c_Orderings_Obot__class_Obot(X29),X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_1143]) ).
fof(c_0_1754,plain,
! [X29,X30] : hAPP(c_List_Oset(X30),c_List_Orev(X29,X30)) = hAPP(c_List_Oset(X30),X29),
inference(variable_rename,[status(thm)],[c_0_1144]) ).
fof(c_0_1755,plain,
! [X29,X30] : c_Nat_Osize__class_Osize(c_List_Orev(X29,X30),tc_List_Olist(X30)) = c_Nat_Osize__class_Osize(X29,tc_List_Olist(X30)),
inference(variable_rename,[status(thm)],[c_0_1145]) ).
fof(c_0_1756,plain,
! [X15,X16,X17] :
( hAPP(c_Option_Ooption_OSome(X17),X16) != hAPP(c_Option_Ooption_OSome(X17),X15)
| X16 = X15 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1146])])]) ).
fof(c_0_1757,plain,
! [X63] : c_lessequals(c_Suc(X63),c_Suc(X63),tc_nat),
inference(variable_rename,[status(thm)],[c_0_1147]) ).
fof(c_0_1758,plain,
! [X50,X51] : c_List_OtakeWhile(X50,c_List_Olist_ONil(X51),X51) = c_List_Olist_ONil(X51),
inference(variable_rename,[status(thm)],[c_0_1148]) ).
fof(c_0_1759,plain,
! [X29,X30] :
( c_List_Odistinct(c_List_Orev(X29,X30),X30)
| ~ c_List_Odistinct(X29,X30) ),
inference(variable_rename,[status(thm)],[c_0_1149]) ).
fof(c_0_1760,plain,
! [X28,X29] :
( ~ class_Orderings_Opreorder(X29)
| c_lessequals(X28,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_1150]) ).
fof(c_0_1761,plain,
! [X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(X28,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_1151]) ).
fof(c_0_1762,plain,
! [X29,X30] : c_List_Oappend(X29,c_List_Olist_ONil(X30),X30) = X29,
inference(variable_rename,[status(thm)],[c_0_1152]) ).
fof(c_0_1763,plain,
! [X28,X29] : X28 = c_List_Oappend(c_List_Olist_ONil(X29),X28,X29),
inference(variable_rename,[status(thm)],[c_0_1153]) ).
fof(c_0_1764,plain,
! [X29,X30] : X29 = c_List_Oappend(X29,c_List_Olist_ONil(X30),X30),
inference(variable_rename,[status(thm)],[c_0_1154]) ).
fof(c_0_1765,plain,
! [X33,X34] : c_List_Oappend(c_List_Olist_ONil(X34),X33,X34) = X33,
inference(variable_rename,[status(thm)],[c_0_1155]) ).
fof(c_0_1766,plain,
! [X33,X34] : X33 = c_List_Oappend(c_List_Olist_ONil(X34),X33,X34),
inference(variable_rename,[status(thm)],[c_0_1156]) ).
fof(c_0_1767,plain,
! [X33,X34] : c_List_Osplice(c_List_Olist_ONil(X34),X33,X34) = X33,
inference(variable_rename,[status(thm)],[c_0_1157]) ).
fof(c_0_1768,plain,
! [X29,X30] : c_List_Osplice(X29,c_List_Olist_ONil(X30),X30) = X29,
inference(variable_rename,[status(thm)],[c_0_1158]) ).
fof(c_0_1769,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
c_0_1159 ).
fof(c_0_1770,plain,
! [X63] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X63,tc_nat),
inference(variable_rename,[status(thm)],[c_0_1160]) ).
fof(c_0_1771,plain,
! [X28,X29] : c_fequal(X28,X28,X29),
inference(variable_rename,[status(thm)],[c_0_1161]) ).
fof(c_0_1772,plain,
! [X72,X73] : c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X72,X73),X73) = c_Transitive__Closure_Ortrancl(X72,X73),
inference(variable_rename,[status(thm)],[c_0_1162]) ).
fof(c_0_1773,plain,
! [X5] : hAPP(c_List_Oset(X5),c_List_Olist_ONil(X5)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1163]) ).
fof(c_0_1774,plain,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = hAPP(c_List_Oset(X5),c_List_Olist_ONil(X5)),
inference(variable_rename,[status(thm)],[c_0_1164]) ).
fof(c_0_1775,plain,
! [X28] : c_lessequals(X28,X28,tc_nat),
inference(variable_rename,[status(thm)],[c_0_1165]) ).
fof(c_0_1776,plain,
! [X63] : c_lessequals(X63,X63,tc_nat),
inference(variable_rename,[status(thm)],[c_0_1166]) ).
fof(c_0_1777,plain,
! [X46,X47,X48] :
( c_Expr_Oexp_OVal(X47,X48) != c_Expr_Oexp_OVal(X46,X48)
| X47 = X46 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1167])])]) ).
fof(c_0_1778,plain,
! [X33,X34,X35] :
( c_List_Orev(X34,X35) != c_List_Orev(X33,X35)
| X34 = X33 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1168])])]) ).
fof(c_0_1779,plain,
! [X16,X17,X18] :
( c_Expr_Oexp_Onew(X17,X18) != c_Expr_Oexp_Onew(X16,X18)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1169])])]) ).
fof(c_0_1780,plain,
! [X11,X12,X13] :
( c_Expr_Oexp_Othrow(X12,X13) != c_Expr_Oexp_Othrow(X11,X13)
| X12 = X11 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1170])])]) ).
fof(c_0_1781,plain,
! [X16,X17,X18] : c_Expr_Oexp_Othrow(X17,X18) != c_Expr_Oexp_Onew(X16,X18),
inference(variable_rename,[status(thm)],[c_0_1171]) ).
fof(c_0_1782,plain,
! [X30,X31,X32] : c_Expr_Oexp_OVal(X30,X32) != c_Expr_Oexp_Othrow(X31,X32),
inference(variable_rename,[status(thm)],[c_0_1172]) ).
fof(c_0_1783,plain,
! [X30,X31,X32] : c_Expr_Oexp_Othrow(X31,X32) != c_Expr_Oexp_OVal(X30,X32),
inference(variable_rename,[status(thm)],[c_0_1173]) ).
fof(c_0_1784,plain,
! [X16,X17,X18] : c_Expr_Oexp_Onew(X16,X18) != c_Expr_Oexp_Othrow(X17,X18),
inference(variable_rename,[status(thm)],[c_0_1174]) ).
fof(c_0_1785,plain,
! [X46,X47,X48] : c_Expr_Oexp_Onew(X47,X48) != c_Expr_Oexp_OVal(X46,X48),
inference(variable_rename,[status(thm)],[c_0_1175]) ).
fof(c_0_1786,plain,
! [X46,X47,X48] : c_Expr_Oexp_OVal(X46,X48) != c_Expr_Oexp_Onew(X47,X48),
inference(variable_rename,[status(thm)],[c_0_1176]) ).
fof(c_0_1787,plain,
! [X29,X30] :
( c_Nat_Osize__class_Osize(X29,tc_List_Olist(X30)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X29 = c_List_Olist_ONil(X30) ),
inference(variable_rename,[status(thm)],[c_0_1177]) ).
fof(c_0_1788,plain,
! [X29,X30] : c_List_Orev(c_List_Orev(X29,X30),X30) = X29,
inference(variable_rename,[status(thm)],[c_0_1178]) ).
fof(c_0_1789,plain,
! [X33,X34] : c_List_Orev(c_List_Orev(X33,X34),X34) = X33,
inference(variable_rename,[status(thm)],[c_0_1179]) ).
fof(c_0_1790,plain,
! [X29,X30] : X29 = c_List_Orev(c_List_Orev(X29,X30),X30),
inference(variable_rename,[status(thm)],[c_0_1180]) ).
fof(c_0_1791,plain,
! [X58,X59] : c_BigStep_Ofinal(c_Expr_Oexp_OVal(X58,X59),X59),
inference(variable_rename,[status(thm)],[c_0_1181]) ).
fof(c_0_1792,plain,
! [X13,X14] : c_Option_Ooption_ONone(X14) != hAPP(c_Option_Ooption_OSome(X14),X13),
inference(variable_rename,[status(thm)],[c_0_1182]) ).
fof(c_0_1793,plain,
! [X41,X42] : c_Option_Ooption_ONone(X42) != hAPP(c_Option_Ooption_OSome(X42),X41),
inference(variable_rename,[status(thm)],[c_0_1183]) ).
fof(c_0_1794,plain,
! [X13,X14] : hAPP(c_Option_Ooption_OSome(X14),X13) != c_Option_Ooption_ONone(X14),
inference(variable_rename,[status(thm)],[c_0_1184]) ).
fof(c_0_1795,plain,
! [X58,X59] : hAPP(c_Option_Ooption_OSome(X59),X58) != c_Option_Ooption_ONone(X59),
inference(variable_rename,[status(thm)],[c_0_1185]) ).
fof(c_0_1796,plain,
! [X104,X105] :
( class_HOL_Oord(tc_fun(X104,X105))
| ~ class_HOL_Oord(X105) ),
inference(variable_rename,[status(thm)],[c_0_1186]) ).
fof(c_0_1797,plain,
! [X104,X105] :
( class_Orderings_Obot(tc_fun(X104,X105))
| ~ class_Orderings_Obot(X105) ),
inference(variable_rename,[status(thm)],[c_0_1187]) ).
fof(c_0_1798,plain,
! [X104,X105] :
( class_Orderings_Oorder(tc_fun(X104,X105))
| ~ class_Orderings_Oorder(X105) ),
inference(variable_rename,[status(thm)],[c_0_1188]) ).
fof(c_0_1799,plain,
! [X104,X105] :
( class_Orderings_Opreorder(tc_fun(X104,X105))
| ~ class_Orderings_Opreorder(X105) ),
inference(variable_rename,[status(thm)],[c_0_1189]) ).
fof(c_0_1800,plain,
! [X104,X105] :
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X104,X105))
| ~ class_Complete__Lattice_Ocomplete__lattice(X105) ),
inference(variable_rename,[status(thm)],[c_0_1190]) ).
fof(c_0_1801,plain,
! [X5] : c_List_Oconcat(c_List_Olist_ONil(tc_List_Olist(X5)),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_1191]) ).
fof(c_0_1802,plain,
! [X29,X30] :
( c_List_Orev(X29,X30) != c_List_Olist_ONil(X30)
| X29 = c_List_Olist_ONil(X30) ),
inference(variable_rename,[status(thm)],[c_0_1192]) ).
fof(c_0_1803,plain,
! [X29,X30] :
( c_List_Olist_ONil(X30) != c_List_Orev(X29,X30)
| X29 = c_List_Olist_ONil(X30) ),
inference(variable_rename,[status(thm)],[c_0_1193]) ).
fof(c_0_1804,plain,
! [X5] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X5),tc_List_Olist(X5)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(variable_rename,[status(thm)],[c_0_1194]) ).
fof(c_0_1805,plain,
! [X28,X29] :
( X28 = c_Option_Ooption_ONone(X29)
| ~ c_Option_Ois__none(X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_1195]) ).
fof(c_0_1806,plain,
! [X5] :
( ~ class_Orderings_Olinorder(X5)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1196]) ).
fof(c_0_1807,plain,
! [X5] : c_List_Orev(c_List_Olist_ONil(X5),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_1197]) ).
fof(c_0_1808,plain,
! [X5] : c_List_Obutlast(c_List_Olist_ONil(X5),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_1198]) ).
fof(c_0_1809,plain,
! [X5] : c_List_Olist_ONil(X5) = c_List_Orev(c_List_Olist_ONil(X5),X5),
inference(variable_rename,[status(thm)],[c_0_1199]) ).
fof(c_0_1810,plain,
! [X5] : c_List_Odistinct(c_List_Olist_ONil(X5),X5),
inference(variable_rename,[status(thm)],[c_0_1200]) ).
fof(c_0_1811,plain,
! [X5] : c_Option_Ois__none(c_Option_Ooption_ONone(X5),X5),
inference(variable_rename,[status(thm)],[c_0_1201]) ).
fof(c_0_1812,plain,
! [X51,X52] :
( c_Suc(X52) != c_Suc(X51)
| X52 = X51 ),
inference(variable_rename,[status(thm)],[c_0_1202]) ).
fof(c_0_1813,plain,
! [X41,X42] :
( c_Suc(X42) != c_Suc(X41)
| X42 = X41 ),
inference(variable_rename,[status(thm)],[c_0_1203]) ).
fof(c_0_1814,plain,
! [X38] : c_Suc(X38) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(variable_rename,[status(thm)],[c_0_1204]) ).
fof(c_0_1815,plain,
! [X37] : c_Suc(X37) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(variable_rename,[status(thm)],[c_0_1205]) ).
fof(c_0_1816,plain,
! [X38] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X38),
inference(variable_rename,[status(thm)],[c_0_1206]) ).
fof(c_0_1817,plain,
! [X37] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X37),
inference(variable_rename,[status(thm)],[c_0_1207]) ).
fof(c_0_1818,plain,
! [X63] : X63 != c_Suc(X63),
inference(variable_rename,[status(thm)],[c_0_1208]) ).
fof(c_0_1819,plain,
! [X63] : c_Suc(X63) != X63,
inference(variable_rename,[status(thm)],[c_0_1209]) ).
fof(c_0_1820,axiom,
class_HOL_Oord(tc_bool),
c_0_1210 ).
fof(c_0_1821,axiom,
class_Orderings_Obot(tc_bool),
c_0_1211 ).
fof(c_0_1822,axiom,
class_Orderings_Oorder(tc_bool),
c_0_1212 ).
fof(c_0_1823,axiom,
class_Orderings_Opreorder(tc_bool),
c_0_1213 ).
fof(c_0_1824,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
c_0_1214 ).
fof(c_0_1825,axiom,
class_HOL_Oord(tc_nat),
c_0_1215 ).
fof(c_0_1826,axiom,
class_Orderings_Obot(tc_nat),
c_0_1216 ).
fof(c_0_1827,axiom,
class_Orderings_Oorder(tc_nat),
c_0_1217 ).
fof(c_0_1828,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_1218 ).
fof(c_0_1829,axiom,
class_Orderings_Opreorder(tc_nat),
c_0_1219 ).
cnf(c_0_1830,plain,
( c_BigStep_Oeval(X1,X5,c_Pair(X6,c_Map_Omap__upds(X7,X2,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))),X8,c_Pair(X9,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X1,X5,X8,X6,X9,X7,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))))
| ~ c_BigStep_Oeval(X1,c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X5,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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))),X8,c_Pair(X9,X10,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) ),
inference(split_conjunct,[status(thm)],[c_0_1220]) ).
cnf(c_0_1831,plain,
( c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| ~ c_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
inference(split_conjunct,[status(thm)],[c_0_1221]) ).
cnf(c_0_1832,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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(X7,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(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_OVal(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(X6,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,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(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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_1222]) ).
cnf(c_0_1833,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_1223]) ).
cnf(c_0_1834,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_1224]) ).
cnf(c_0_1835,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_1225]) ).
cnf(c_0_1836,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_1226]) ).
cnf(c_0_1837,plain,
( c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(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_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_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty)) ),
inference(split_conjunct,[status(thm)],[c_0_1227]) ).
cnf(c_0_1838,plain,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X1,X2,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),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_OVal(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)))))),
inference(split_conjunct,[status(thm)],[c_0_1228]) ).
cnf(c_0_1839,plain,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X1,X2,c_Expr_Oexp_OVal(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_OVal(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)))))),
inference(split_conjunct,[status(thm)],[c_0_1229]) ).
cnf(c_0_1840,plain,
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)))))),
inference(split_conjunct,[status(thm)],[c_0_1230]) ).
cnf(c_0_1841,plain,
c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(X1,X2,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(X3,X4,tc_Type_Oty),c_Pair(c_List_Olist_OCons(X5,X6,tc_Value_Oval),X7,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = c_Expr_Oexp_OBlock(X1,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_OVal(X5,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X4,c_Pair(X6,X7,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),
inference(split_conjunct,[status(thm)],[c_0_1231]) ).
cnf(c_0_1842,plain,
c_Fun_Ofun__upd(c_Fun_Ooverride__on(X1,c_Fun_Ofun__upd(X2,X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),X7,X6,tc_Option_Ooption(X4)),X3,hAPP(X2,X3),X6,tc_Option_Ooption(X4)) = c_Fun_Ooverride__on(X1,X2,c_Set_Oinsert(X3,X7,X6),X6,tc_Option_Ooption(X4)),
inference(split_conjunct,[status(thm)],[c_0_1232]) ).
cnf(c_0_1843,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_1233]) ).
cnf(c_0_1844,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_1234]) ).
cnf(c_0_1845,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X2,X3,c_Option_Ooption_ONone(t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_1235]) ).
cnf(c_0_1846,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_Map_Omap__upds(c_Fun_Ofun__upd(X4,X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)),X3,X7,X2,X5) = c_Fun_Ofun__upd(c_Map_Omap__upds(X4,X3,X7,X2,X5),X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1236]) ).
cnf(c_0_1847,plain,
( X1 = X2
| c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1848,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(c_Option_Ooption_OSome(X5),X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X8)
| hAPP(X1,X8) != hAPP(c_Option_Ooption_OSome(X5),X7) ),
inference(split_conjunct,[status(thm)],[c_0_1238]) ).
cnf(c_0_1849,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7)
| hAPP(X1,X7) != c_Option_Ooption_ONone(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1239]) ).
cnf(c_0_1850,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(X1,X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7) ),
inference(split_conjunct,[status(thm)],[c_0_1240]) ).
cnf(c_0_1851,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != c_Option_Ooption_ONone(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1241]) ).
cnf(c_0_1852,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != c_Option_Ooption_ONone(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1242]) ).
cnf(c_0_1853,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
| ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_1243]) ).
cnf(c_0_1854,plain,
( c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,hAPP(c_Option_Ooption_OSome(tc_fun(X5,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)),X5),X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1855,plain,
c_Map_Omap__upds(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) = c_Map_Omap__upds(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X7),X5),X4,tc_Option_Ooption(X7)),X3,X6,X4,X7),
inference(split_conjunct,[status(thm)],[c_0_1245]) ).
cnf(c_0_1856,plain,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1246]) ).
cnf(c_0_1857,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X6,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1858,plain,
c_Map_Omap__add(X1,c_Fun_Ofun__upd(X2,X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),X6,X4) = c_Fun_Ofun__upd(c_Map_Omap__add(X1,X2,X6,X4),X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),
inference(split_conjunct,[status(thm)],[c_0_1248]) ).
cnf(c_0_1859,plain,
c_Map_Omap__add(X1,c_Map_Omap__upds(X2,X3,X4,X5,X6),X5,X6) = c_Map_Omap__upds(c_Map_Omap__add(X1,X2,X5,X6),X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_1249]) ).
cnf(c_0_1860,plain,
c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X1,
inference(split_conjunct,[status(thm)],[c_0_1250]) ).
cnf(c_0_1861,plain,
( c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,c_DefAss_O_092_060A_062(X1,X5),X5),X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1251]) ).
cnf(c_0_1862,plain,
( X1 = X2
| hAPP(X3,X1) = hAPP(c_Option_Ooption_OSome(X4),X5)
| hAPP(c_Fun_Ofun__upd(X3,X2,hAPP(c_Option_Ooption_OSome(X4),X6),X7,tc_Option_Ooption(X4)),X1) != hAPP(c_Option_Ooption_OSome(X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1252]) ).
cnf(c_0_1863,plain,
( X1 = X2
| hAPP(X3,X4) = hAPP(c_Option_Ooption_OSome(X5),X2)
| hAPP(c_Fun_Ofun__upd(X3,X6,hAPP(c_Option_Ooption_OSome(X5),X1),X7,tc_Option_Ooption(X5)),X4) != hAPP(c_Option_Ooption_OSome(X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1253]) ).
cnf(c_0_1864,plain,
( X4 = X6
| hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) != hAPP(c_Option_Ooption_OSome(X3),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1254]) ).
cnf(c_0_1865,plain,
( ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ c_in(X2,hAPP(c_List_Oset(X4),X3),X4)
| ~ class_Orderings_Olinorder(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1255]) ).
cnf(c_0_1866,plain,
( X1 = X2
| c_Fun_Ofun__upd(X3,X4,hAPP(c_Option_Ooption_OSome(X5),X1),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,hAPP(c_Option_Ooption_OSome(X5),X2),X6,tc_Option_Ooption(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1256]) ).
cnf(c_0_1867,plain,
( c_DefAss_O_092_060D_062(X1,X6,X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1257]) ).
cnf(c_0_1868,plain,
( c_DefAss_O_092_060D_062(X1,X6,X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1258]) ).
cnf(c_0_1869,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X5,X6,X4),X6)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1259]) ).
cnf(c_0_1870,plain,
( c_List_Odistinct(X3,X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ class_Orderings_Olinorder(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1871,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1261]) ).
cnf(c_0_1872,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1873,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1263]) ).
cnf(c_0_1874,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1264]) ).
cnf(c_0_1875,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1265]) ).
cnf(c_0_1876,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1266]) ).
cnf(c_0_1877,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1267]) ).
cnf(c_0_1878,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1268]) ).
cnf(c_0_1879,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5),
inference(split_conjunct,[status(thm)],[c_0_1269]) ).
cnf(c_0_1880,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5),
inference(split_conjunct,[status(thm)],[c_0_1270]) ).
cnf(c_0_1881,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X5,X6,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1271]) ).
cnf(c_0_1882,plain,
( hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X6) = hAPP(c_Option_Ooption_OSome(X3),X7)
| X6 = X2
| hAPP(X1,X6) != hAPP(c_Option_Ooption_OSome(X3),X7) ),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_1883,plain,
( c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1273]) ).
cnf(c_0_1884,plain,
( c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1274]) ).
cnf(c_0_1885,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X4,X1,X3,X2,X5),X2)
| ~ c_List_Odistinct(X3,X2)
| ~ class_Orderings_Olinorder(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1275]) ).
cnf(c_0_1886,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) = hAPP(c_Option_Ooption_OSome(X3),X4),
inference(split_conjunct,[status(thm)],[c_0_1276]) ).
cnf(c_0_1887,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| hAPP(c_Map_Omap__upds(X4,X3,X5,X2,X6),X1) = hAPP(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1277]) ).
cnf(c_0_1888,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X5) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X5),c_DefAss_O_092_060A_062(X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_1278]) ).
cnf(c_0_1889,plain,
( hAPP(c_List_Oset(X1),c_List_Olinorder__class_Oinsort__key(X2,X3,X4,X1,X5)) = c_Set_Oinsert(X3,hAPP(c_List_Oset(X1),X4),X1)
| ~ class_Orderings_Olinorder(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1279]) ).
cnf(c_0_1890,plain,
( hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X5,X1)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_1891,plain,
( c_in(X1,X2,X3)
| hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_1892,plain,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1282]) ).
cnf(c_0_1893,plain,
( c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)))
| ~ class_Orderings_Olinorder(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1283]) ).
cnf(c_0_1894,plain,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_1895,plain,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_1896,plain,
( X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1286]) ).
cnf(c_0_1897,plain,
( X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1287]) ).
cnf(c_0_1898,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_1288]) ).
cnf(c_0_1899,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_1289]) ).
cnf(c_0_1900,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1901,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_1902,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_1903,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1293]) ).
cnf(c_0_1904,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_1905,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1295]) ).
cnf(c_0_1906,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1296]) ).
cnf(c_0_1907,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_1908,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBlock(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1298]) ).
cnf(c_0_1909,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1299]) ).
cnf(c_0_1910,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1300]) ).
cnf(c_0_1911,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1301]) ).
cnf(c_0_1912,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBlock(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1302]) ).
cnf(c_0_1913,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_1914,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1304]) ).
cnf(c_0_1915,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1305]) ).
cnf(c_0_1916,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1306]) ).
cnf(c_0_1917,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(split_conjunct,[status(thm)],[c_0_1307]) ).
cnf(c_0_1918,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1308]) ).
cnf(c_0_1919,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
inference(split_conjunct,[status(thm)],[c_0_1309]) ).
cnf(c_0_1920,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1310]) ).
cnf(c_0_1921,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1311]) ).
cnf(c_0_1922,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1312]) ).
cnf(c_0_1923,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1313]) ).
cnf(c_0_1924,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1314]) ).
cnf(c_0_1925,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1315]) ).
cnf(c_0_1926,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1316]) ).
cnf(c_0_1927,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1317]) ).
cnf(c_0_1928,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1318]) ).
cnf(c_0_1929,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1319]) ).
cnf(c_0_1930,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1320]) ).
cnf(c_0_1931,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1321]) ).
cnf(c_0_1932,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1322]) ).
cnf(c_0_1933,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1323]) ).
cnf(c_0_1934,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
inference(split_conjunct,[status(thm)],[c_0_1324]) ).
cnf(c_0_1935,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(split_conjunct,[status(thm)],[c_0_1325]) ).
cnf(c_0_1936,plain,
c_DefAss_OhyperUn(X1,c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X4,X2),X2) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),c_DefAss_OhyperUn(X1,X4,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1326]) ).
cnf(c_0_1937,plain,
( X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1327]) ).
cnf(c_0_1938,plain,
( X5 = X3
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1328]) ).
cnf(c_0_1939,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
inference(split_conjunct,[status(thm)],[c_0_1329]) ).
cnf(c_0_1940,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
inference(split_conjunct,[status(thm)],[c_0_1330]) ).
cnf(c_0_1941,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
inference(split_conjunct,[status(thm)],[c_0_1331]) ).
cnf(c_0_1942,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
inference(split_conjunct,[status(thm)],[c_0_1332]) ).
cnf(c_0_1943,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
inference(split_conjunct,[status(thm)],[c_0_1333]) ).
cnf(c_0_1944,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
inference(split_conjunct,[status(thm)],[c_0_1334]) ).
cnf(c_0_1945,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Onew(X6,X5),
inference(split_conjunct,[status(thm)],[c_0_1335]) ).
cnf(c_0_1946,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
inference(split_conjunct,[status(thm)],[c_0_1336]) ).
cnf(c_0_1947,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
inference(split_conjunct,[status(thm)],[c_0_1337]) ).
cnf(c_0_1948,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
inference(split_conjunct,[status(thm)],[c_0_1338]) ).
cnf(c_0_1949,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
inference(split_conjunct,[status(thm)],[c_0_1339]) ).
cnf(c_0_1950,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Onew(X6,X5),
inference(split_conjunct,[status(thm)],[c_0_1340]) ).
cnf(c_0_1951,plain,
( c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1341]) ).
cnf(c_0_1952,plain,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1342]) ).
cnf(c_0_1953,plain,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X5,X6),X6)
| ~ c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1343]) ).
cnf(c_0_1954,plain,
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),
inference(split_conjunct,[status(thm)],[c_0_1344]) ).
cnf(c_0_1955,plain,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ c_in(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1345]) ).
cnf(c_0_1956,plain,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ c_in(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1346]) ).
cnf(c_0_1957,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X4,X5,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X5,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1347]) ).
cnf(c_0_1958,plain,
( c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)) = X1
| hAPP(X1,X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1348]) ).
cnf(c_0_1959,plain,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_ONil(X3),X3,X4) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1349]) ).
cnf(c_0_1960,plain,
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),
inference(split_conjunct,[status(thm)],[c_0_1350]) ).
cnf(c_0_1961,plain,
c_Fun_Ooverride__on(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_1351]) ).
cnf(c_0_1962,plain,
c_Option_Ooption_Ooption__case(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,X3) = hAPP(X2,X4),
inference(split_conjunct,[status(thm)],[c_0_1352]) ).
cnf(c_0_1963,plain,
( c_BigStep_Oeval(X2,X1,X3,X1,X3)
| ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar)) ),
inference(split_conjunct,[status(thm)],[c_0_1353]) ).
cnf(c_0_1964,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_1354]) ).
cnf(c_0_1965,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_1355]) ).
cnf(c_0_1966,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_1356]) ).
cnf(c_0_1967,plain,
c_DefAss_OhyperUn(X1,hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1357]) ).
cnf(c_0_1968,plain,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_1358]) ).
cnf(c_0_1969,plain,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_1359]) ).
cnf(c_0_1970,plain,
c_Option_Ooption_Ooption__case(X1,X2,c_Option_Ooption_ONone(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_1360]) ).
cnf(c_0_1971,plain,
( c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1361]) ).
cnf(c_0_1972,plain,
( c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1362]) ).
cnf(c_0_1973,plain,
( c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1363]) ).
cnf(c_0_1974,plain,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1364]) ).
cnf(c_0_1975,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1365]) ).
cnf(c_0_1976,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1366]) ).
cnf(c_0_1977,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1367]) ).
cnf(c_0_1978,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1368]) ).
cnf(c_0_1979,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X1,X2,X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1369]) ).
cnf(c_0_1980,plain,
( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X5,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1370]) ).
cnf(c_0_1981,plain,
( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1371]) ).
cnf(c_0_1982,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1372]) ).
cnf(c_0_1983,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1373]) ).
cnf(c_0_1984,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1374]) ).
cnf(c_0_1985,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1375]) ).
cnf(c_0_1986,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X4,c_List_Olist_OCons(X1,X3,X2),X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1376]) ).
cnf(c_0_1987,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1377]) ).
cnf(c_0_1988,plain,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X4,X1,X5,X3),X2) != c_Option_Ooption_ONone(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1378]) ).
cnf(c_0_1989,plain,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2) != c_Option_Ooption_ONone(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1379]) ).
cnf(c_0_1990,plain,
( c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1380]) ).
cnf(c_0_1991,plain,
( c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1381]) ).
cnf(c_0_1992,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1382]) ).
cnf(c_0_1993,plain,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
inference(split_conjunct,[status(thm)],[c_0_1383]) ).
cnf(c_0_1994,plain,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X3,X4,X2),X2)),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1384]) ).
cnf(c_0_1995,plain,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X4,X3,X2),X2)),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1385]) ).
cnf(c_0_1996,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1386]) ).
cnf(c_0_1997,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1387]) ).
cnf(c_0_1998,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1388]) ).
cnf(c_0_1999,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1389]) ).
cnf(c_0_2000,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1390]) ).
cnf(c_0_2001,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1391]) ).
cnf(c_0_2002,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1392]) ).
cnf(c_0_2003,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1393]) ).
cnf(c_0_2004,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1394]) ).
cnf(c_0_2005,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1395]) ).
cnf(c_0_2006,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1396]) ).
cnf(c_0_2007,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1397]) ).
cnf(c_0_2008,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1398]) ).
cnf(c_0_2009,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1399]) ).
cnf(c_0_2010,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1400]) ).
cnf(c_0_2011,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1401]) ).
cnf(c_0_2012,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1402]) ).
cnf(c_0_2013,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1403]) ).
cnf(c_0_2014,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1404]) ).
cnf(c_0_2015,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1405]) ).
cnf(c_0_2016,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1406]) ).
cnf(c_0_2017,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1407]) ).
cnf(c_0_2018,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1408]) ).
cnf(c_0_2019,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1409]) ).
cnf(c_0_2020,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1410]) ).
cnf(c_0_2021,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1411]) ).
cnf(c_0_2022,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1412]) ).
cnf(c_0_2023,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1413]) ).
cnf(c_0_2024,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1414]) ).
cnf(c_0_2025,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1415]) ).
cnf(c_0_2026,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1416]) ).
cnf(c_0_2027,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1417]) ).
cnf(c_0_2028,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1418]) ).
cnf(c_0_2029,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1419]) ).
cnf(c_0_2030,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1420]) ).
cnf(c_0_2031,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1421]) ).
cnf(c_0_2032,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(split_conjunct,[status(thm)],[c_0_1422]) ).
cnf(c_0_2033,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1423]) ).
cnf(c_0_2034,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OLAss(X1,X2,X3),X3) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),c_DefAss_O_092_060A_062(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1424]) ).
cnf(c_0_2035,plain,
c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2),
inference(split_conjunct,[status(thm)],[c_0_1425]) ).
cnf(c_0_2036,plain,
( c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1426]) ).
cnf(c_0_2037,plain,
( c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ c_in(X1,X2,X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(split_conjunct,[status(thm)],[c_0_1427]) ).
cnf(c_0_2038,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1428]) ).
cnf(c_0_2039,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X3),X2),X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1429]) ).
cnf(c_0_2040,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1430]) ).
cnf(c_0_2041,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X4,X5,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1431]) ).
cnf(c_0_2042,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1432]) ).
cnf(c_0_2043,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X4),c_DefAss_O_092_060A_062(X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1433]) ).
cnf(c_0_2044,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1434]) ).
cnf(c_0_2045,plain,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1435]) ).
cnf(c_0_2046,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1436]) ).
cnf(c_0_2047,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1437]) ).
cnf(c_0_2048,plain,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1438]) ).
cnf(c_0_2049,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(split_conjunct,[status(thm)],[c_0_1439]) ).
cnf(c_0_2050,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(split_conjunct,[status(thm)],[c_0_1440]) ).
cnf(c_0_2051,plain,
( hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1441]) ).
cnf(c_0_2052,plain,
( hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1442]) ).
cnf(c_0_2053,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1443]) ).
cnf(c_0_2054,plain,
( c_lessequals(X1,X2,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1444]) ).
cnf(c_0_2055,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1445]) ).
cnf(c_0_2056,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1446]) ).
cnf(c_0_2057,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1447]) ).
cnf(c_0_2058,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1448]) ).
cnf(c_0_2059,plain,
( X1 = X3
| c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Olist_OCons(X3,X4,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1449]) ).
cnf(c_0_2060,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1450]) ).
cnf(c_0_2061,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_ONone(X4)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != c_Option_Ooption_ONone(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1451]) ).
cnf(c_0_2062,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1452]) ).
cnf(c_0_2063,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1453]) ).
cnf(c_0_2064,plain,
( c_lessequals(X4,X5,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1454]) ).
cnf(c_0_2065,plain,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1455]) ).
cnf(c_0_2066,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1456]) ).
cnf(c_0_2067,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X4) = c_DefAss_O_092_060A_062(X1,X4),
inference(split_conjunct,[status(thm)],[c_0_1457]) ).
cnf(c_0_2068,plain,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1458]) ).
cnf(c_0_2069,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1459]) ).
cnf(c_0_2070,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1460]) ).
cnf(c_0_2071,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1461]) ).
cnf(c_0_2072,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1462]) ).
cnf(c_0_2073,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1463]) ).
cnf(c_0_2074,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1464]) ).
cnf(c_0_2075,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1465]) ).
cnf(c_0_2076,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1466]) ).
cnf(c_0_2077,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1467]) ).
cnf(c_0_2078,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1468]) ).
cnf(c_0_2079,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1469]) ).
cnf(c_0_2080,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1470]) ).
cnf(c_0_2081,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1471]) ).
cnf(c_0_2082,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1472]) ).
cnf(c_0_2083,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1473]) ).
cnf(c_0_2084,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1474]) ).
cnf(c_0_2085,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1475]) ).
cnf(c_0_2086,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1476]) ).
cnf(c_0_2087,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1477]) ).
cnf(c_0_2088,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1478]) ).
cnf(c_0_2089,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1479]) ).
cnf(c_0_2090,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1480]) ).
cnf(c_0_2091,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1481]) ).
cnf(c_0_2092,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1482]) ).
cnf(c_0_2093,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1483]) ).
cnf(c_0_2094,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1484]) ).
cnf(c_0_2095,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1485]) ).
cnf(c_0_2096,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1486]) ).
cnf(c_0_2097,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1487]) ).
cnf(c_0_2098,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1488]) ).
cnf(c_0_2099,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1489]) ).
cnf(c_0_2100,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1490]) ).
cnf(c_0_2101,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1491]) ).
cnf(c_0_2102,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1492]) ).
cnf(c_0_2103,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1493]) ).
cnf(c_0_2104,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1494]) ).
cnf(c_0_2105,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1495]) ).
cnf(c_0_2106,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(split_conjunct,[status(thm)],[c_0_1496]) ).
cnf(c_0_2107,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1497]) ).
cnf(c_0_2108,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(split_conjunct,[status(thm)],[c_0_1498]) ).
cnf(c_0_2109,plain,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1499]) ).
cnf(c_0_2110,plain,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1500]) ).
cnf(c_0_2111,plain,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1501]) ).
cnf(c_0_2112,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X4,X5),X5),X5) = c_List_OtakeWhile(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1502]) ).
cnf(c_0_2113,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1503]) ).
cnf(c_0_2114,plain,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1504]) ).
cnf(c_0_2115,plain,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1505]) ).
cnf(c_0_2116,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1506]) ).
cnf(c_0_2117,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1507]) ).
cnf(c_0_2118,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1508]) ).
cnf(c_0_2119,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1509]) ).
cnf(c_0_2120,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1510]) ).
cnf(c_0_2121,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1511]) ).
cnf(c_0_2122,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1512]) ).
cnf(c_0_2123,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1513]) ).
cnf(c_0_2124,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1514]) ).
cnf(c_0_2125,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1515]) ).
cnf(c_0_2126,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1516]) ).
cnf(c_0_2127,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1517]) ).
cnf(c_0_2128,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1518]) ).
cnf(c_0_2129,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1519]) ).
cnf(c_0_2130,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1520]) ).
cnf(c_0_2131,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1521]) ).
cnf(c_0_2132,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1522]) ).
cnf(c_0_2133,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1523]) ).
cnf(c_0_2134,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1524]) ).
cnf(c_0_2135,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1525]) ).
cnf(c_0_2136,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1526]) ).
cnf(c_0_2137,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1527]) ).
cnf(c_0_2138,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1528]) ).
cnf(c_0_2139,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1529]) ).
cnf(c_0_2140,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1530]) ).
cnf(c_0_2141,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1531]) ).
cnf(c_0_2142,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1532]) ).
cnf(c_0_2143,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1533]) ).
cnf(c_0_2144,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1534]) ).
cnf(c_0_2145,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
inference(split_conjunct,[status(thm)],[c_0_1535]) ).
cnf(c_0_2146,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1536]) ).
cnf(c_0_2147,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(split_conjunct,[status(thm)],[c_0_1537]) ).
cnf(c_0_2148,plain,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Omap(X3,X1,X2,X4) != c_Option_Ooption_ONone(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1538]) ).
cnf(c_0_2149,plain,
( c_lessequals(X1,X4,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1539]) ).
cnf(c_0_2150,plain,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1540]) ).
cnf(c_0_2151,plain,
( hBOOL(hAPP(X4,X1))
| c_List_OtakeWhile(X4,c_List_Oappend(X3,X5,X2),X2) = c_List_OtakeWhile(X4,X3,X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1541]) ).
cnf(c_0_2152,plain,
hAPP(c_List_Oset(X1),c_List_Oconcat(X2,X1)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_List_Oset(tc_List_Olist(X1)),X2),c_List_Oset(X1),tc_List_Olist(X1),tc_fun(X1,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1542]) ).
cnf(c_0_2153,plain,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1543]) ).
cnf(c_0_2154,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1544]) ).
cnf(c_0_2155,plain,
c_lessequals(hAPP(c_List_Oset(X1),X2),hAPP(c_List_Oset(X1),c_List_Olist_OCons(X3,X2,X1)),tc_fun(X1,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1545]) ).
cnf(c_0_2156,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1546]) ).
cnf(c_0_2157,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1547]) ).
cnf(c_0_2158,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_1548]) ).
cnf(c_0_2159,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_1549]) ).
cnf(c_0_2160,plain,
( c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X1,X4,X3),c_DefAss_OhyperUn(X2,X4,X3),X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1550]) ).
cnf(c_0_2161,plain,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1551]) ).
cnf(c_0_2162,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1552]) ).
cnf(c_0_2163,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X1,hAPP(c_List_Oset(X3),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1553]) ).
cnf(c_0_2164,plain,
( X1 = X2
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1554]) ).
cnf(c_0_2165,plain,
c_Option_Omap(X1,hAPP(c_Option_Ooption_OSome(X2),X3),X2,X4) = hAPP(c_Option_Ooption_OSome(X4),hAPP(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_1555]) ).
cnf(c_0_2166,plain,
c_DefAss_OhyperUn(c_DefAss_OhyperUn(X1,X2,X3),X4,X3) = c_DefAss_OhyperUn(X1,c_DefAss_OhyperUn(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1556]) ).
cnf(c_0_2167,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1557]) ).
cnf(c_0_2168,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1558]) ).
cnf(c_0_2169,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1559]) ).
cnf(c_0_2170,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1560]) ).
cnf(c_0_2171,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1561]) ).
cnf(c_0_2172,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1562]) ).
cnf(c_0_2173,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1563]) ).
cnf(c_0_2174,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1564]) ).
cnf(c_0_2175,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1565]) ).
cnf(c_0_2176,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1566]) ).
cnf(c_0_2177,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1567]) ).
cnf(c_0_2178,plain,
c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1568]) ).
cnf(c_0_2179,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1569]) ).
cnf(c_0_2180,plain,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1570]) ).
cnf(c_0_2181,plain,
( c_DefAss_O_092_060D_062(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X1,X2,X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1571]) ).
cnf(c_0_2182,plain,
( c_DefAss_O_092_060D_062(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X1,X2,X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1572]) ).
cnf(c_0_2183,plain,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1573]) ).
cnf(c_0_2184,plain,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1574]) ).
cnf(c_0_2185,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1575]) ).
cnf(c_0_2186,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1576]) ).
cnf(c_0_2187,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1577]) ).
cnf(c_0_2188,plain,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1578]) ).
cnf(c_0_2189,plain,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1579]) ).
cnf(c_0_2190,plain,
( hBOOL(hAPP(X4,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_OtakeWhile(X4,X3,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1580]) ).
cnf(c_0_2191,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1581]) ).
cnf(c_0_2192,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1582]) ).
cnf(c_0_2193,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1583]) ).
cnf(c_0_2194,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1584]) ).
cnf(c_0_2195,plain,
c_Fun_Oinj__on(c_Option_Ooption_OSome(X1),X2,X1,tc_Option_Ooption(X1)),
inference(split_conjunct,[status(thm)],[c_0_1585]) ).
cnf(c_0_2196,plain,
c_Option_Omap(X1,c_Option_Ooption_ONone(X2),X2,X3) = c_Option_Ooption_ONone(X3),
inference(split_conjunct,[status(thm)],[c_0_1586]) ).
cnf(c_0_2197,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_1587]) ).
cnf(c_0_2198,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X4,X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1588]) ).
cnf(c_0_2199,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X4,X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1589]) ).
cnf(c_0_2200,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1590]) ).
cnf(c_0_2201,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1591]) ).
cnf(c_0_2202,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1592]) ).
cnf(c_0_2203,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1593]) ).
cnf(c_0_2204,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(split_conjunct,[status(thm)],[c_0_1594]) ).
cnf(c_0_2205,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1595]) ).
cnf(c_0_2206,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_Odistinct(c_List_Olist_OCons(X1,X3,X2),X2)
| ~ c_List_Odistinct(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1596]) ).
cnf(c_0_2207,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1597]) ).
cnf(c_0_2208,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1598]) ).
cnf(c_0_2209,plain,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1599]) ).
cnf(c_0_2210,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1600]) ).
cnf(c_0_2211,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| c_List_Olist_ONil(X2) != c_List_Oconcat(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1601]) ).
cnf(c_0_2212,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1602]) ).
cnf(c_0_2213,plain,
( c_DefAss_O_092_060D_062(X4,X2,X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1603]) ).
cnf(c_0_2214,plain,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_Ohyper__subset(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1604]) ).
cnf(c_0_2215,plain,
c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1605]) ).
cnf(c_0_2216,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OSeq(X1,X2,X3),X3) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X3),c_DefAss_O_092_060A_062(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1606]) ).
cnf(c_0_2217,plain,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1607]) ).
cnf(c_0_2218,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1608]) ).
cnf(c_0_2219,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1609]) ).
cnf(c_0_2220,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1610]) ).
cnf(c_0_2221,plain,
hAPP(c_List_Oset(X1),c_List_Olist_OCons(X2,X3,X1)) = c_Set_Oinsert(X2,hAPP(c_List_Oset(X1),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_1611]) ).
cnf(c_0_2222,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1612]) ).
cnf(c_0_2223,plain,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1613]) ).
cnf(c_0_2224,plain,
c_List_Oconcat(c_List_Olist_OCons(X1,X2,tc_List_Olist(X3)),X3) = c_List_Oappend(X1,c_List_Oconcat(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1614]) ).
cnf(c_0_2225,plain,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1615]) ).
cnf(c_0_2226,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1616]) ).
cnf(c_0_2227,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1617]) ).
cnf(c_0_2228,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1618]) ).
cnf(c_0_2229,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1619]) ).
cnf(c_0_2230,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) = c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1620]) ).
cnf(c_0_2231,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1621]) ).
cnf(c_0_2232,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1622]) ).
cnf(c_0_2233,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1623]) ).
cnf(c_0_2234,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1624]) ).
cnf(c_0_2235,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1625]) ).
cnf(c_0_2236,plain,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1626]) ).
cnf(c_0_2237,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1627]) ).
cnf(c_0_2238,plain,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1628]) ).
cnf(c_0_2239,plain,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1629]) ).
cnf(c_0_2240,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1630]) ).
cnf(c_0_2241,plain,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1631]) ).
cnf(c_0_2242,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1632]) ).
cnf(c_0_2243,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1633]) ).
cnf(c_0_2244,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1634]) ).
cnf(c_0_2245,plain,
( c_DefAss_O_092_060D_062(X1,X3,X2)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X2),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1635]) ).
cnf(c_0_2246,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1636]) ).
cnf(c_0_2247,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1637]) ).
cnf(c_0_2248,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1638]) ).
cnf(c_0_2249,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1639]) ).
cnf(c_0_2250,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1640]) ).
cnf(c_0_2251,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1641]) ).
cnf(c_0_2252,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1642]) ).
cnf(c_0_2253,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1643]) ).
cnf(c_0_2254,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1644]) ).
cnf(c_0_2255,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1645]) ).
cnf(c_0_2256,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1646]) ).
cnf(c_0_2257,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1647]) ).
cnf(c_0_2258,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1648]) ).
cnf(c_0_2259,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1649]) ).
cnf(c_0_2260,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1650]) ).
cnf(c_0_2261,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1651]) ).
cnf(c_0_2262,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1652]) ).
cnf(c_0_2263,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1653]) ).
cnf(c_0_2264,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1654]) ).
cnf(c_0_2265,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1655]) ).
cnf(c_0_2266,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1656]) ).
cnf(c_0_2267,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1657]) ).
cnf(c_0_2268,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1658]) ).
cnf(c_0_2269,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1659]) ).
cnf(c_0_2270,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1660]) ).
cnf(c_0_2271,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1661]) ).
cnf(c_0_2272,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1662]) ).
cnf(c_0_2273,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
inference(split_conjunct,[status(thm)],[c_0_1663]) ).
cnf(c_0_2274,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1664]) ).
cnf(c_0_2275,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))),
inference(split_conjunct,[status(thm)],[c_0_1665]) ).
cnf(c_0_2276,plain,
c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)),
inference(split_conjunct,[status(thm)],[c_0_1666]) ).
cnf(c_0_2277,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_1667]) ).
cnf(c_0_2278,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_1668]) ).
cnf(c_0_2279,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_1669]) ).
cnf(c_0_2280,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1670]) ).
cnf(c_0_2281,plain,
( X1 = X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1671]) ).
cnf(c_0_2282,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1672]) ).
cnf(c_0_2283,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1673]) ).
cnf(c_0_2284,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1674]) ).
cnf(c_0_2285,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_Onew(X1,X2),X2) = hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
inference(split_conjunct,[status(thm)],[c_0_1675]) ).
cnf(c_0_2286,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OVal(X1,X2),X2) = hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
inference(split_conjunct,[status(thm)],[c_0_1676]) ).
cnf(c_0_2287,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1677]) ).
cnf(c_0_2288,plain,
( c_lessequals(X1,X2,tc_nat)
| X1 = c_Suc(X2)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1678]) ).
cnf(c_0_2289,plain,
( c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1679]) ).
cnf(c_0_2290,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1680]) ).
cnf(c_0_2291,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1681]) ).
cnf(c_0_2292,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1682]) ).
cnf(c_0_2293,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1683]) ).
cnf(c_0_2294,plain,
( c_List_Odistinct(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1684]) ).
cnf(c_0_2295,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1685]) ).
cnf(c_0_2296,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1686]) ).
cnf(c_0_2297,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1687]) ).
cnf(c_0_2298,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1688]) ).
cnf(c_0_2299,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1689]) ).
cnf(c_0_2300,plain,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1690]) ).
cnf(c_0_2301,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OCast(X1,X2,X3),X3) = c_DefAss_O_092_060A_062(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1691]) ).
cnf(c_0_2302,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OWhile(X1,X2,X3),X3) = c_DefAss_O_092_060A_062(X1,X3),
inference(split_conjunct,[status(thm)],[c_0_1692]) ).
cnf(c_0_2303,plain,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1693]) ).
cnf(c_0_2304,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1694]) ).
cnf(c_0_2305,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1695]) ).
cnf(c_0_2306,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1696]) ).
cnf(c_0_2307,plain,
( X1 = c_List_Olist_ONil(X2)
| c_in(c_List_Olast(X1,X2),hAPP(c_List_Oset(X2),X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1697]) ).
cnf(c_0_2308,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1698]) ).
cnf(c_0_2309,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1699]) ).
cnf(c_0_2310,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X2),X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1700]) ).
cnf(c_0_2311,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1701]) ).
cnf(c_0_2312,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1702]) ).
cnf(c_0_2313,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1703]) ).
cnf(c_0_2314,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1704]) ).
cnf(c_0_2315,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1705]) ).
cnf(c_0_2316,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1706]) ).
cnf(c_0_2317,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1707]) ).
cnf(c_0_2318,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1708]) ).
cnf(c_0_2319,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1709]) ).
cnf(c_0_2320,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1710]) ).
cnf(c_0_2321,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1711]) ).
cnf(c_0_2322,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1712]) ).
cnf(c_0_2323,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1713]) ).
cnf(c_0_2324,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_2325,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1715]) ).
cnf(c_0_2326,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1716]) ).
cnf(c_0_2327,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1717]) ).
cnf(c_0_2328,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1718]) ).
cnf(c_0_2329,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1719]) ).
cnf(c_0_2330,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1720]) ).
cnf(c_0_2331,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1721]) ).
cnf(c_0_2332,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1722]) ).
cnf(c_0_2333,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(split_conjunct,[status(thm)],[c_0_1723]) ).
cnf(c_0_2334,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
inference(split_conjunct,[status(thm)],[c_0_1724]) ).
cnf(c_0_2335,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1725]) ).
cnf(c_0_2336,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1726]) ).
cnf(c_0_2337,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1727]) ).
cnf(c_0_2338,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1728]) ).
cnf(c_0_2339,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1729]) ).
cnf(c_0_2340,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1730]) ).
cnf(c_0_2341,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1731]) ).
cnf(c_0_2342,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1732]) ).
cnf(c_0_2343,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1733]) ).
cnf(c_0_2344,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1734]) ).
cnf(c_0_2345,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1735]) ).
cnf(c_0_2346,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1736]) ).
cnf(c_0_2347,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1737]) ).
cnf(c_0_2348,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1738]) ).
cnf(c_0_2349,plain,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1739]) ).
cnf(c_0_2350,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1740]) ).
cnf(c_0_2351,plain,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(split_conjunct,[status(thm)],[c_0_1741]) ).
cnf(c_0_2352,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(split_conjunct,[status(thm)],[c_0_1742]) ).
cnf(c_0_2353,plain,
~ c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X1),X2),X1),
inference(split_conjunct,[status(thm)],[c_0_1743]) ).
cnf(c_0_2354,plain,
c_DefAss_O_092_060D_062(c_Expr_Oexp_Onew(X1,X2),X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1744]) ).
cnf(c_0_2355,plain,
c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X1,X2),X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1745]) ).
cnf(c_0_2356,plain,
( X1 = c_List_Olist_ONil(X2)
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_List_Oset(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_1746]) ).
cnf(c_0_2357,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Oset(X2),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1747]) ).
cnf(c_0_2358,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1748]) ).
cnf(c_0_2359,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1749]) ).
cnf(c_0_2360,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1750]) ).
cnf(c_0_2361,plain,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1751]) ).
cnf(c_0_2362,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1752]) ).
cnf(c_0_2363,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2364,plain,
hAPP(c_List_Oset(X1),c_List_Orev(X2,X1)) = hAPP(c_List_Oset(X1),X2),
inference(split_conjunct,[status(thm)],[c_0_1754]) ).
cnf(c_0_2365,plain,
c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2366,plain,
( X1 = X2
| hAPP(c_Option_Ooption_OSome(X3),X1) != hAPP(c_Option_Ooption_OSome(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1756]) ).
cnf(c_0_2367,plain,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1757]) ).
cnf(c_0_2368,plain,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2369,plain,
( c_List_Odistinct(c_List_Orev(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1759]) ).
cnf(c_0_2370,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2371,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2372,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2373,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2374,plain,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1764]) ).
cnf(c_0_2375,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_1765]) ).
cnf(c_0_2376,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1766]) ).
cnf(c_0_2377,plain,
c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_1767]) ).
cnf(c_0_2378,plain,
c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1768]) ).
cnf(c_0_2379,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1769]) ).
cnf(c_0_2380,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1770]) ).
cnf(c_0_2381,plain,
c_fequal(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1771]) ).
cnf(c_0_2382,plain,
c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1772]) ).
cnf(c_0_2383,plain,
hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1773]) ).
cnf(c_0_2384,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1774]) ).
cnf(c_0_2385,plain,
c_lessequals(X1,X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1775]) ).
cnf(c_0_2386,plain,
c_lessequals(X1,X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1776]) ).
cnf(c_0_2387,plain,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1777]) ).
cnf(c_0_2388,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1778]) ).
cnf(c_0_2389,plain,
( X1 = X2
| c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1779]) ).
cnf(c_0_2390,plain,
( X1 = X2
| c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1780]) ).
cnf(c_0_2391,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_Onew(X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1781]) ).
cnf(c_0_2392,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1782]) ).
cnf(c_0_2393,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1783]) ).
cnf(c_0_2394,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1784]) ).
cnf(c_0_2395,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1785]) ).
cnf(c_0_2396,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Onew(X3,X2),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2397,plain,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2398,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2399,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2400,plain,
X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1790]) ).
cnf(c_0_2401,plain,
c_BigStep_Ofinal(c_Expr_Oexp_OVal(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2402,plain,
c_Option_Ooption_ONone(X1) != hAPP(c_Option_Ooption_OSome(X1),X2),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2403,plain,
c_Option_Ooption_ONone(X1) != hAPP(c_Option_Ooption_OSome(X1),X2),
inference(split_conjunct,[status(thm)],[c_0_1793]) ).
cnf(c_0_2404,plain,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
inference(split_conjunct,[status(thm)],[c_0_1794]) ).
cnf(c_0_2405,plain,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
inference(split_conjunct,[status(thm)],[c_0_1795]) ).
cnf(c_0_2406,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1796]) ).
cnf(c_0_2407,plain,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1797]) ).
cnf(c_0_2408,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1798]) ).
cnf(c_0_2409,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1799]) ).
cnf(c_0_2410,plain,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1800]) ).
cnf(c_0_2411,plain,
c_List_Oconcat(c_List_Olist_ONil(tc_List_Olist(X1)),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1801]) ).
cnf(c_0_2412,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1802]) ).
cnf(c_0_2413,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Orev(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1803]) ).
cnf(c_0_2414,plain,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1804]) ).
cnf(c_0_2415,plain,
( X1 = c_Option_Ooption_ONone(X2)
| ~ c_Option_Ois__none(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1805]) ).
cnf(c_0_2416,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1806]) ).
cnf(c_0_2417,plain,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1807]) ).
cnf(c_0_2418,plain,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1808]) ).
cnf(c_0_2419,plain,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1809]) ).
cnf(c_0_2420,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1810]) ).
cnf(c_0_2421,plain,
c_Option_Ois__none(c_Option_Ooption_ONone(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1811]) ).
cnf(c_0_2422,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1812]) ).
cnf(c_0_2423,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1813]) ).
cnf(c_0_2424,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1814]) ).
cnf(c_0_2425,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1815]) ).
cnf(c_0_2426,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
inference(split_conjunct,[status(thm)],[c_0_1816]) ).
cnf(c_0_2427,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
inference(split_conjunct,[status(thm)],[c_0_1817]) ).
cnf(c_0_2428,plain,
X1 != c_Suc(X1),
inference(split_conjunct,[status(thm)],[c_0_1818]) ).
cnf(c_0_2429,plain,
c_Suc(X1) != X1,
inference(split_conjunct,[status(thm)],[c_0_1819]) ).
cnf(c_0_2430,plain,
class_HOL_Oord(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_2431,plain,
class_Orderings_Obot(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_2432,plain,
class_Orderings_Oorder(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_2433,plain,
class_Orderings_Opreorder(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_2434,plain,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1824]) ).
cnf(c_0_2435,plain,
class_HOL_Oord(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1825]) ).
cnf(c_0_2436,plain,
class_Orderings_Obot(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1826]) ).
cnf(c_0_2437,plain,
class_Orderings_Oorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1827]) ).
cnf(c_0_2438,plain,
class_Orderings_Olinorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1828]) ).
cnf(c_0_2439,plain,
class_Orderings_Opreorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1829]) ).
cnf(c_0_2440,plain,
( c_BigStep_Oeval(X1,X5,c_Pair(X6,c_Map_Omap__upds(X7,X2,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))),X8,c_Pair(X9,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X1,X5,X8,X6,X9,X7,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))))
| ~ c_BigStep_Oeval(X1,c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X5,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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))),X8,c_Pair(X9,X10,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) ),
c_0_1830,
[final] ).
cnf(c_0_2441,plain,
( c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| ~ c_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
c_0_1831,
[final] ).
cnf(c_0_2442,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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(X7,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(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_OVal(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(X6,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,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(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_0_1832,
[final] ).
cnf(c_0_2443,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
c_0_1833,
[final] ).
cnf(c_0_2444,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
c_0_1834,
[final] ).
cnf(c_0_2445,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
c_0_1835,
[final] ).
cnf(c_0_2446,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
c_0_1836,
[final] ).
cnf(c_0_2447,plain,
( c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(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_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_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty)) ),
c_0_1837,
[final] ).
cnf(c_0_2448,plain,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X1,X2,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),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_OVal(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_0_1838,
[final] ).
cnf(c_0_2449,plain,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X1,X2,c_Expr_Oexp_OVal(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_OVal(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_0_1839,
[final] ).
cnf(c_0_2450,plain,
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)))))),
c_0_1840,
[final] ).
cnf(c_0_2451,plain,
c_Expr_Oexp_OBlock(X1,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_OVal(X5,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X4,c_Pair(X6,X7,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) = c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(X1,X2,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(X3,X4,tc_Type_Oty),c_Pair(c_List_Olist_OCons(X5,X6,tc_Value_Oval),X7,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),
c_0_1841,
[final] ).
cnf(c_0_2452,plain,
c_Fun_Ofun__upd(c_Fun_Ooverride__on(X1,c_Fun_Ofun__upd(X2,X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),X7,X6,tc_Option_Ooption(X4)),X3,hAPP(X2,X3),X6,tc_Option_Ooption(X4)) = c_Fun_Ooverride__on(X1,X2,c_Set_Oinsert(X3,X7,X6),X6,tc_Option_Ooption(X4)),
c_0_1842,
[final] ).
cnf(c_0_2453,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b))) ),
c_0_1843,
[final] ).
cnf(c_0_2454,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b))) ),
c_0_1844,
[final] ).
cnf(c_0_2455,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X2,X3,c_Option_Ooption_ONone(t_b),t_a,t_b))) ),
c_0_1845,
[final] ).
cnf(c_0_2456,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_Map_Omap__upds(c_Fun_Ofun__upd(X4,X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)),X3,X7,X2,X5) = c_Fun_Ofun__upd(c_Map_Omap__upds(X4,X3,X7,X2,X5),X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)) ),
c_0_1846,
[final] ).
cnf(c_0_2457,plain,
( X1 = X2
| c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6) ),
c_0_1847,
[final] ).
cnf(c_0_2458,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(c_Option_Ooption_OSome(X5),X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X8)
| hAPP(X1,X8) != hAPP(c_Option_Ooption_OSome(X5),X7) ),
c_0_1848,
[final] ).
cnf(c_0_2459,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7)
| hAPP(X1,X7) != c_Option_Ooption_ONone(X5) ),
c_0_1849,
[final] ).
cnf(c_0_2460,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(X1,X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7) ),
c_0_1850,
[final] ).
cnf(c_0_2461,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != c_Option_Ooption_ONone(X4) ),
c_0_1851,
[final] ).
cnf(c_0_2462,plain,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != c_Option_Ooption_ONone(X4) ),
c_0_1852,
[final] ).
cnf(c_0_2463,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
| ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
c_0_1853,
[final] ).
cnf(c_0_2464,plain,
( c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,hAPP(c_Option_Ooption_OSome(tc_fun(X5,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)),X5),X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5) ),
c_0_1854,
[final] ).
cnf(c_0_2465,plain,
c_Map_Omap__upds(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X7),X5),X4,tc_Option_Ooption(X7)),X3,X6,X4,X7) = c_Map_Omap__upds(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7),
c_0_1855,
[final] ).
cnf(c_0_2466,plain,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
c_0_1856,
[final] ).
cnf(c_0_2467,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X6,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X3),X3) ),
c_0_1857,
[final] ).
cnf(c_0_2468,plain,
c_Fun_Ofun__upd(c_Map_Omap__add(X1,X2,X6,X4),X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)) = c_Map_Omap__add(X1,c_Fun_Ofun__upd(X2,X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),X6,X4),
c_0_1858,
[final] ).
cnf(c_0_2469,plain,
c_Map_Omap__upds(c_Map_Omap__add(X1,X2,X5,X6),X3,X4,X5,X6) = c_Map_Omap__add(X1,c_Map_Omap__upds(X2,X3,X4,X5,X6),X5,X6),
c_0_1859,
[final] ).
cnf(c_0_2470,plain,
c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X1,
c_0_1860,
[final] ).
cnf(c_0_2471,plain,
( c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,c_DefAss_O_092_060A_062(X1,X5),X5),X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5) ),
c_0_1861,
[final] ).
cnf(c_0_2472,plain,
( X1 = X2
| hAPP(X3,X1) = hAPP(c_Option_Ooption_OSome(X4),X5)
| hAPP(c_Fun_Ofun__upd(X3,X2,hAPP(c_Option_Ooption_OSome(X4),X6),X7,tc_Option_Ooption(X4)),X1) != hAPP(c_Option_Ooption_OSome(X4),X5) ),
c_0_1862,
[final] ).
cnf(c_0_2473,plain,
( X1 = X2
| hAPP(X3,X4) = hAPP(c_Option_Ooption_OSome(X5),X2)
| hAPP(c_Fun_Ofun__upd(X3,X6,hAPP(c_Option_Ooption_OSome(X5),X1),X7,tc_Option_Ooption(X5)),X4) != hAPP(c_Option_Ooption_OSome(X5),X2) ),
c_0_1863,
[final] ).
cnf(c_0_2474,plain,
( X4 = X6
| hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) != hAPP(c_Option_Ooption_OSome(X3),X6) ),
c_0_1864,
[final] ).
cnf(c_0_2475,plain,
( ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ c_in(X2,hAPP(c_List_Oset(X4),X3),X4)
| ~ class_Orderings_Olinorder(X5) ),
c_0_1865,
[final] ).
cnf(c_0_2476,plain,
( X1 = X2
| c_Fun_Ofun__upd(X3,X4,hAPP(c_Option_Ooption_OSome(X5),X1),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,hAPP(c_Option_Ooption_OSome(X5),X2),X6,tc_Option_Ooption(X5)) ),
c_0_1866,
[final] ).
cnf(c_0_2477,plain,
( c_DefAss_O_092_060D_062(X1,X6,X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5) ),
c_0_1867,
[final] ).
cnf(c_0_2478,plain,
( c_DefAss_O_092_060D_062(X1,X6,X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5) ),
c_0_1868,
[final] ).
cnf(c_0_2479,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X5,X6,X4),X6)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1869,
[final] ).
cnf(c_0_2480,plain,
( c_List_Odistinct(X3,X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ class_Orderings_Olinorder(X5) ),
c_0_1870,
[final] ).
cnf(c_0_2481,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
c_0_1871,
[final] ).
cnf(c_0_2482,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
c_0_1872,
[final] ).
cnf(c_0_2483,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
c_0_1873,
[final] ).
cnf(c_0_2484,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
c_0_1874,
[final] ).
cnf(c_0_2485,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
c_0_1875,
[final] ).
cnf(c_0_2486,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
c_0_1876,
[final] ).
cnf(c_0_2487,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
c_0_1877,
[final] ).
cnf(c_0_2488,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
c_0_1878,
[final] ).
cnf(c_0_2489,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5),
c_0_1879,
[final] ).
cnf(c_0_2490,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5),
c_0_1880,
[final] ).
cnf(c_0_2491,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X5,X6,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
c_0_1881,
[final] ).
cnf(c_0_2492,plain,
( hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X6) = hAPP(c_Option_Ooption_OSome(X3),X7)
| X6 = X2
| hAPP(X1,X6) != hAPP(c_Option_Ooption_OSome(X3),X7) ),
c_0_1882,
[final] ).
cnf(c_0_2493,plain,
( c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
c_0_1883,
[final] ).
cnf(c_0_2494,plain,
( c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6)) ),
c_0_1884,
[final] ).
cnf(c_0_2495,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X4,X1,X3,X2,X5),X2)
| ~ c_List_Odistinct(X3,X2)
| ~ class_Orderings_Olinorder(X5) ),
c_0_1885,
[final] ).
cnf(c_0_2496,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) = hAPP(c_Option_Ooption_OSome(X3),X4),
c_0_1886,
[final] ).
cnf(c_0_2497,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| hAPP(c_Map_Omap__upds(X4,X3,X5,X2,X6),X1) = hAPP(X4,X1) ),
c_0_1887,
[final] ).
cnf(c_0_2498,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X5) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X5),c_DefAss_O_092_060A_062(X4,X5),X5),
c_0_1888,
[final] ).
cnf(c_0_2499,plain,
( hAPP(c_List_Oset(X1),c_List_Olinorder__class_Oinsort__key(X2,X3,X4,X1,X5)) = c_Set_Oinsert(X3,hAPP(c_List_Oset(X1),X4),X1)
| ~ class_Orderings_Olinorder(X5) ),
c_0_1889,
[final] ).
cnf(c_0_2500,plain,
( hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X5,X1)
| ~ c_in(X1,X2,X3) ),
c_0_1890,
[final] ).
cnf(c_0_2501,plain,
( c_in(X1,X2,X3)
| hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X4,X1) ),
c_0_1891,
[final] ).
cnf(c_0_2502,plain,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
c_0_1892,
[final] ).
cnf(c_0_2503,plain,
( c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)))
| ~ class_Orderings_Olinorder(X5) ),
c_0_1893,
[final] ).
cnf(c_0_2504,plain,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
c_0_1894,
[final] ).
cnf(c_0_2505,plain,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
c_0_1895,
[final] ).
cnf(c_0_2506,plain,
( X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
c_0_1896,
[final] ).
cnf(c_0_2507,plain,
( X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
c_0_1897,
[final] ).
cnf(c_0_2508,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
c_0_1898,
[final] ).
cnf(c_0_2509,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
c_0_1899,
[final] ).
cnf(c_0_2510,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
c_0_1900,
[final] ).
cnf(c_0_2511,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
c_0_1901,
[final] ).
cnf(c_0_2512,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
c_0_1902,
[final] ).
cnf(c_0_2513,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
c_0_1903,
[final] ).
cnf(c_0_2514,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
c_0_1904,
[final] ).
cnf(c_0_2515,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
c_0_1905,
[final] ).
cnf(c_0_2516,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
c_0_1906,
[final] ).
cnf(c_0_2517,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
c_0_1907,
[final] ).
cnf(c_0_2518,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBlock(X6,X7,X8,X5),
c_0_1908,
[final] ).
cnf(c_0_2519,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
c_0_1909,
[final] ).
cnf(c_0_2520,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
c_0_1910,
[final] ).
cnf(c_0_2521,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
c_0_1911,
[final] ).
cnf(c_0_2522,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBlock(X6,X7,X8,X5),
c_0_1912,
[final] ).
cnf(c_0_2523,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
c_0_1913,
[final] ).
cnf(c_0_2524,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
c_0_1914,
[final] ).
cnf(c_0_2525,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
c_0_1915,
[final] ).
cnf(c_0_2526,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
c_0_1916,
[final] ).
cnf(c_0_2527,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
c_0_1917,
[final] ).
cnf(c_0_2528,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
c_0_1918,
[final] ).
cnf(c_0_2529,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
c_0_1919,
[final] ).
cnf(c_0_2530,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
c_0_1920,
[final] ).
cnf(c_0_2531,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
c_0_1921,
[final] ).
cnf(c_0_2532,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
c_0_1922,
[final] ).
cnf(c_0_2533,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
c_0_1923,
[final] ).
cnf(c_0_2534,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
c_0_1924,
[final] ).
cnf(c_0_2535,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
c_0_1925,
[final] ).
cnf(c_0_2536,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
c_0_1926,
[final] ).
cnf(c_0_2537,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
c_0_1927,
[final] ).
cnf(c_0_2538,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
c_0_1928,
[final] ).
cnf(c_0_2539,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
c_0_1929,
[final] ).
cnf(c_0_2540,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
c_0_1930,
[final] ).
cnf(c_0_2541,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
c_0_1931,
[final] ).
cnf(c_0_2542,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
c_0_1932,
[final] ).
cnf(c_0_2543,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
c_0_1933,
[final] ).
cnf(c_0_2544,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
c_0_1934,
[final] ).
cnf(c_0_2545,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
c_0_1935,
[final] ).
cnf(c_0_2546,plain,
c_DefAss_OhyperUn(X1,c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X4,X2),X2) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),c_DefAss_OhyperUn(X1,X4,X2),X2),
c_0_1936,
[final] ).
cnf(c_0_2547,plain,
( X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
c_0_1937,
[final] ).
cnf(c_0_2548,plain,
( X5 = X3
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
c_0_1938,
[final] ).
cnf(c_0_2549,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
c_0_1939,
[final] ).
cnf(c_0_2550,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
c_0_1940,
[final] ).
cnf(c_0_2551,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
c_0_1941,
[final] ).
cnf(c_0_2552,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
c_0_1942,
[final] ).
cnf(c_0_2553,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
c_0_1943,
[final] ).
cnf(c_0_2554,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
c_0_1944,
[final] ).
cnf(c_0_2555,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Onew(X6,X5),
c_0_1945,
[final] ).
cnf(c_0_2556,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
c_0_1946,
[final] ).
cnf(c_0_2557,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
c_0_1947,
[final] ).
cnf(c_0_2558,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
c_0_1948,
[final] ).
cnf(c_0_2559,plain,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
c_0_1949,
[final] ).
cnf(c_0_2560,plain,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Onew(X6,X5),
c_0_1950,
[final] ).
cnf(c_0_2561,plain,
( c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
c_0_1951,
[final] ).
cnf(c_0_2562,plain,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
c_0_1952,
[final] ).
cnf(c_0_2563,plain,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X5,X6),X6)
| ~ c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1953,
[final] ).
cnf(c_0_2564,plain,
c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5) = c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5),
c_0_1954,
[final] ).
cnf(c_0_2565,plain,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ c_in(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
c_0_1955,
[final] ).
cnf(c_0_2566,plain,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ c_in(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
c_0_1956,
[final] ).
cnf(c_0_2567,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X4,X5,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X5,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
c_0_1957,
[final] ).
cnf(c_0_2568,plain,
( c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)) = X1
| hAPP(X1,X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
c_0_1958,
[final] ).
cnf(c_0_2569,plain,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_ONil(X3),X3,X4) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1959,
[final] ).
cnf(c_0_2570,plain,
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),
c_0_1960,
[final] ).
cnf(c_0_2571,plain,
c_Fun_Ooverride__on(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X1,
c_0_1961,
[final] ).
cnf(c_0_2572,plain,
c_Option_Ooption_Ooption__case(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,X3) = hAPP(X2,X4),
c_0_1962,
[final] ).
cnf(c_0_2573,plain,
( c_BigStep_Oeval(X2,X1,X3,X1,X3)
| ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar)) ),
c_0_1963,
[final] ).
cnf(c_0_2574,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
c_0_1964,
[final] ).
cnf(c_0_2575,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
c_0_1965,
[final] ).
cnf(c_0_2576,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
c_0_1966,
[final] ).
cnf(c_0_2577,plain,
c_DefAss_OhyperUn(X1,hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X1,X2),
c_0_1967,
[final] ).
cnf(c_0_2578,plain,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
c_0_1968,
[final] ).
cnf(c_0_2579,plain,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1969,
[final] ).
cnf(c_0_2580,plain,
c_Option_Ooption_Ooption__case(X1,X2,c_Option_Ooption_ONone(X3),X4,X3) = X1,
c_0_1970,
[final] ).
cnf(c_0_2581,plain,
( c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X1,X3) ),
c_0_1971,
[final] ).
cnf(c_0_2582,plain,
( c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4) ),
c_0_1972,
[final] ).
cnf(c_0_2583,plain,
( c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
c_0_1973,
[final] ).
cnf(c_0_2584,plain,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
c_0_1974,
[final] ).
cnf(c_0_2585,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
c_0_1975,
[final] ).
cnf(c_0_2586,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
c_0_1976,
[final] ).
cnf(c_0_2587,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4) ),
c_0_1977,
[final] ).
cnf(c_0_2588,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X5,X4) ),
c_0_1978,
[final] ).
cnf(c_0_2589,plain,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X1,X2,X3,X4),X5,X4) ),
c_0_1979,
[final] ).
cnf(c_0_2590,plain,
( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X5,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
c_0_1980,
[final] ).
cnf(c_0_2591,plain,
( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
c_0_1981,
[final] ).
cnf(c_0_2592,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
c_0_1982,
[final] ).
cnf(c_0_2593,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
c_0_1983,
[final] ).
cnf(c_0_2594,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
c_0_1984,
[final] ).
cnf(c_0_2595,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
c_0_1985,
[final] ).
cnf(c_0_2596,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X4,c_List_Olist_OCons(X1,X3,X2),X2)),X2) ),
c_0_1986,
[final] ).
cnf(c_0_2597,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2) ),
c_0_1987,
[final] ).
cnf(c_0_2598,plain,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X4,X1,X5,X3),X2) != c_Option_Ooption_ONone(X3) ),
c_0_1988,
[final] ).
cnf(c_0_2599,plain,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2) != c_Option_Ooption_ONone(X3) ),
c_0_1989,
[final] ).
cnf(c_0_2600,plain,
( c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
c_0_1990,
[final] ).
cnf(c_0_2601,plain,
( c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
c_0_1991,
[final] ).
cnf(c_0_2602,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
c_0_1992,
[final] ).
cnf(c_0_2603,plain,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
c_0_1993,
[final] ).
cnf(c_0_2604,plain,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X3,X4,X2),X2)),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
c_0_1994,
[final] ).
cnf(c_0_2605,plain,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X4,X3,X2),X2)),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
c_0_1995,
[final] ).
cnf(c_0_2606,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
c_0_1996,
[final] ).
cnf(c_0_2607,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
c_0_1997,
[final] ).
cnf(c_0_2608,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
c_0_1998,
[final] ).
cnf(c_0_2609,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
c_0_1999,
[final] ).
cnf(c_0_2610,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
c_0_2000,
[final] ).
cnf(c_0_2611,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
c_0_2001,
[final] ).
cnf(c_0_2612,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
c_0_2002,
[final] ).
cnf(c_0_2613,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
c_0_2003,
[final] ).
cnf(c_0_2614,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
c_0_2004,
[final] ).
cnf(c_0_2615,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
c_0_2005,
[final] ).
cnf(c_0_2616,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
c_0_2006,
[final] ).
cnf(c_0_2617,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
c_0_2007,
[final] ).
cnf(c_0_2618,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
c_0_2008,
[final] ).
cnf(c_0_2619,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
c_0_2009,
[final] ).
cnf(c_0_2620,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
c_0_2010,
[final] ).
cnf(c_0_2621,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
c_0_2011,
[final] ).
cnf(c_0_2622,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
c_0_2012,
[final] ).
cnf(c_0_2623,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
c_0_2013,
[final] ).
cnf(c_0_2624,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
c_0_2014,
[final] ).
cnf(c_0_2625,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
c_0_2015,
[final] ).
cnf(c_0_2626,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
c_0_2016,
[final] ).
cnf(c_0_2627,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
c_0_2017,
[final] ).
cnf(c_0_2628,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
c_0_2018,
[final] ).
cnf(c_0_2629,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
c_0_2019,
[final] ).
cnf(c_0_2630,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
c_0_2020,
[final] ).
cnf(c_0_2631,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
c_0_2021,
[final] ).
cnf(c_0_2632,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
c_0_2022,
[final] ).
cnf(c_0_2633,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
c_0_2023,
[final] ).
cnf(c_0_2634,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
c_0_2024,
[final] ).
cnf(c_0_2635,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
c_0_2025,
[final] ).
cnf(c_0_2636,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
c_0_2026,
[final] ).
cnf(c_0_2637,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
c_0_2027,
[final] ).
cnf(c_0_2638,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
c_0_2028,
[final] ).
cnf(c_0_2639,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
c_0_2029,
[final] ).
cnf(c_0_2640,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
c_0_2030,
[final] ).
cnf(c_0_2641,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
c_0_2031,
[final] ).
cnf(c_0_2642,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
c_0_2032,
[final] ).
cnf(c_0_2643,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
c_0_2033,
[final] ).
cnf(c_0_2644,plain,
c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),c_DefAss_O_092_060A_062(X2,X3),X3) = c_DefAss_O_092_060A_062(c_Expr_Oexp_OLAss(X1,X2,X3),X3),
c_0_2034,
[final] ).
cnf(c_0_2645,plain,
c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2),
c_0_2035,
[final] ).
cnf(c_0_2646,plain,
( c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3) ),
c_0_2036,
[final] ).
cnf(c_0_2647,plain,
( c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ c_in(X1,X2,X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
c_0_2037,
[final] ).
cnf(c_0_2648,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2038,
[final] ).
cnf(c_0_2649,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X3),X2),X1,X3))) ),
c_0_2039,
[final] ).
cnf(c_0_2650,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
c_0_2040,
[final] ).
cnf(c_0_2651,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X4,X5,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
c_0_2041,
[final] ).
cnf(c_0_2652,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2042,
[final] ).
cnf(c_0_2653,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X4),c_DefAss_O_092_060A_062(X3,X4),X4),
c_0_2043,
[final] ).
cnf(c_0_2654,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
c_0_2044,
[final] ).
cnf(c_0_2655,plain,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
c_0_2045,
[final] ).
cnf(c_0_2656,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_2046,
[final] ).
cnf(c_0_2657,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_2047,
[final] ).
cnf(c_0_2658,plain,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
c_0_2048,
[final] ).
cnf(c_0_2659,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
c_0_2049,
[final] ).
cnf(c_0_2660,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
c_0_2050,
[final] ).
cnf(c_0_2661,plain,
( hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
c_0_2051,
[final] ).
cnf(c_0_2662,plain,
( hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
c_0_2052,
[final] ).
cnf(c_0_2663,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
c_0_2053,
[final] ).
cnf(c_0_2664,plain,
( c_lessequals(X1,X2,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2054,
[final] ).
cnf(c_0_2665,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
c_0_2055,
[final] ).
cnf(c_0_2666,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
c_0_2056,
[final] ).
cnf(c_0_2667,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
c_0_2057,
[final] ).
cnf(c_0_2668,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
c_0_2058,
[final] ).
cnf(c_0_2669,plain,
( X1 = X3
| c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Olist_OCons(X3,X4,X2)),X2) ),
c_0_2059,
[final] ).
cnf(c_0_2670,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2) ),
c_0_2060,
[final] ).
cnf(c_0_2671,plain,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_ONone(X4)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != c_Option_Ooption_ONone(X4) ),
c_0_2061,
[final] ).
cnf(c_0_2672,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
c_0_2062,
[final] ).
cnf(c_0_2673,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
c_0_2063,
[final] ).
cnf(c_0_2674,plain,
( c_lessequals(X4,X5,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2064,
[final] ).
cnf(c_0_2675,plain,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
c_0_2065,
[final] ).
cnf(c_0_2676,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
c_0_2066,
[final] ).
cnf(c_0_2677,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X4) = c_DefAss_O_092_060A_062(X1,X4),
c_0_2067,
[final] ).
cnf(c_0_2678,plain,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2) ),
c_0_2068,
[final] ).
cnf(c_0_2679,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
c_0_2069,
[final] ).
cnf(c_0_2680,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
c_0_2070,
[final] ).
cnf(c_0_2681,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
c_0_2071,
[final] ).
cnf(c_0_2682,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
c_0_2072,
[final] ).
cnf(c_0_2683,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
c_0_2073,
[final] ).
cnf(c_0_2684,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
c_0_2074,
[final] ).
cnf(c_0_2685,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
c_0_2075,
[final] ).
cnf(c_0_2686,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
c_0_2076,
[final] ).
cnf(c_0_2687,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
c_0_2077,
[final] ).
cnf(c_0_2688,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
c_0_2078,
[final] ).
cnf(c_0_2689,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
c_0_2079,
[final] ).
cnf(c_0_2690,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
c_0_2080,
[final] ).
cnf(c_0_2691,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
c_0_2081,
[final] ).
cnf(c_0_2692,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
c_0_2082,
[final] ).
cnf(c_0_2693,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
c_0_2083,
[final] ).
cnf(c_0_2694,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
c_0_2084,
[final] ).
cnf(c_0_2695,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
c_0_2085,
[final] ).
cnf(c_0_2696,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
c_0_2086,
[final] ).
cnf(c_0_2697,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
c_0_2087,
[final] ).
cnf(c_0_2698,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
c_0_2088,
[final] ).
cnf(c_0_2699,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
c_0_2089,
[final] ).
cnf(c_0_2700,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
c_0_2090,
[final] ).
cnf(c_0_2701,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
c_0_2091,
[final] ).
cnf(c_0_2702,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
c_0_2092,
[final] ).
cnf(c_0_2703,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
c_0_2093,
[final] ).
cnf(c_0_2704,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
c_0_2094,
[final] ).
cnf(c_0_2705,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
c_0_2095,
[final] ).
cnf(c_0_2706,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
c_0_2096,
[final] ).
cnf(c_0_2707,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
c_0_2097,
[final] ).
cnf(c_0_2708,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
c_0_2098,
[final] ).
cnf(c_0_2709,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
c_0_2099,
[final] ).
cnf(c_0_2710,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
c_0_2100,
[final] ).
cnf(c_0_2711,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
c_0_2101,
[final] ).
cnf(c_0_2712,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
c_0_2102,
[final] ).
cnf(c_0_2713,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
c_0_2103,
[final] ).
cnf(c_0_2714,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
c_0_2104,
[final] ).
cnf(c_0_2715,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
c_0_2105,
[final] ).
cnf(c_0_2716,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
c_0_2106,
[final] ).
cnf(c_0_2717,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
c_0_2107,
[final] ).
cnf(c_0_2718,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
c_0_2108,
[final] ).
cnf(c_0_2719,plain,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3) ),
c_0_2109,
[final] ).
cnf(c_0_2720,plain,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3) ),
c_0_2110,
[final] ).
cnf(c_0_2721,plain,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
c_0_2111,
[final] ).
cnf(c_0_2722,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X4,X5),X5),X5) = c_List_OtakeWhile(X1,X3,X5) ),
c_0_2112,
[final] ).
cnf(c_0_2723,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
c_0_2113,
[final] ).
cnf(c_0_2724,plain,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
c_0_2114,
[final] ).
cnf(c_0_2725,plain,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
c_0_2115,
[final] ).
cnf(c_0_2726,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
c_0_2116,
[final] ).
cnf(c_0_2727,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_2117,
[final] ).
cnf(c_0_2728,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
c_0_2118,
[final] ).
cnf(c_0_2729,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
c_0_2119,
[final] ).
cnf(c_0_2730,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
c_0_2120,
[final] ).
cnf(c_0_2731,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
c_0_2121,
[final] ).
cnf(c_0_2732,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
c_0_2122,
[final] ).
cnf(c_0_2733,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
c_0_2123,
[final] ).
cnf(c_0_2734,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
c_0_2124,
[final] ).
cnf(c_0_2735,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
c_0_2125,
[final] ).
cnf(c_0_2736,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
c_0_2126,
[final] ).
cnf(c_0_2737,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
c_0_2127,
[final] ).
cnf(c_0_2738,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
c_0_2128,
[final] ).
cnf(c_0_2739,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
c_0_2129,
[final] ).
cnf(c_0_2740,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
c_0_2130,
[final] ).
cnf(c_0_2741,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
c_0_2131,
[final] ).
cnf(c_0_2742,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
c_0_2132,
[final] ).
cnf(c_0_2743,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
c_0_2133,
[final] ).
cnf(c_0_2744,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
c_0_2134,
[final] ).
cnf(c_0_2745,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
c_0_2135,
[final] ).
cnf(c_0_2746,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
c_0_2136,
[final] ).
cnf(c_0_2747,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
c_0_2137,
[final] ).
cnf(c_0_2748,plain,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
c_0_2138,
[final] ).
cnf(c_0_2749,plain,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
c_0_2139,
[final] ).
cnf(c_0_2750,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
c_0_2140,
[final] ).
cnf(c_0_2751,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
c_0_2141,
[final] ).
cnf(c_0_2752,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
c_0_2142,
[final] ).
cnf(c_0_2753,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
c_0_2143,
[final] ).
cnf(c_0_2754,plain,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
c_0_2144,
[final] ).
cnf(c_0_2755,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
c_0_2145,
[final] ).
cnf(c_0_2756,plain,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
c_0_2146,
[final] ).
cnf(c_0_2757,plain,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
c_0_2147,
[final] ).
cnf(c_0_2758,plain,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Omap(X3,X1,X2,X4) != c_Option_Ooption_ONone(X4) ),
c_0_2148,
[final] ).
cnf(c_0_2759,plain,
( c_lessequals(X1,X4,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2149,
[final] ).
cnf(c_0_2760,plain,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_2150,
[final] ).
cnf(c_0_2761,plain,
( hBOOL(hAPP(X4,X1))
| c_List_OtakeWhile(X4,c_List_Oappend(X3,X5,X2),X2) = c_List_OtakeWhile(X4,X3,X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
c_0_2151,
[final] ).
cnf(c_0_2762,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_List_Oset(tc_List_Olist(X1)),X2),c_List_Oset(X1),tc_List_Olist(X1),tc_fun(X1,tc_bool)) = hAPP(c_List_Oset(X1),c_List_Oconcat(X2,X1)),
c_0_2152,
[final] ).
cnf(c_0_2763,plain,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_2153,
[final] ).
cnf(c_0_2764,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_2154,
[final] ).
cnf(c_0_2765,plain,
c_lessequals(hAPP(c_List_Oset(X1),X2),hAPP(c_List_Oset(X1),c_List_Olist_OCons(X3,X2,X1)),tc_fun(X1,tc_bool)),
c_0_2155,
[final] ).
cnf(c_0_2766,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_2156,
[final] ).
cnf(c_0_2767,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_2157,
[final] ).
cnf(c_0_2768,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
c_0_2158,
[final] ).
cnf(c_0_2769,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
c_0_2159,
[final] ).
cnf(c_0_2770,plain,
( c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X1,X4,X3),c_DefAss_OhyperUn(X2,X4,X3),X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3) ),
c_0_2160,
[final] ).
cnf(c_0_2771,plain,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_2161,
[final] ).
cnf(c_0_2772,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
c_0_2162,
[final] ).
cnf(c_0_2773,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X1,hAPP(c_List_Oset(X3),X2),X3) ),
c_0_2163,
[final] ).
cnf(c_0_2774,plain,
( X1 = X2
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
c_0_2164,
[final] ).
cnf(c_0_2775,plain,
c_Option_Omap(X1,hAPP(c_Option_Ooption_OSome(X2),X3),X2,X4) = hAPP(c_Option_Ooption_OSome(X4),hAPP(X1,X3)),
c_0_2165,
[final] ).
cnf(c_0_2776,plain,
c_DefAss_OhyperUn(c_DefAss_OhyperUn(X1,X2,X3),X4,X3) = c_DefAss_OhyperUn(X1,c_DefAss_OhyperUn(X2,X4,X3),X3),
c_0_2166,
[final] ).
cnf(c_0_2777,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_2167,
[final] ).
cnf(c_0_2778,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_2168,
[final] ).
cnf(c_0_2779,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_2169,
[final] ).
cnf(c_0_2780,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_2170,
[final] ).
cnf(c_0_2781,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
c_0_2171,
[final] ).
cnf(c_0_2782,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
c_0_2172,
[final] ).
cnf(c_0_2783,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
c_0_2173,
[final] ).
cnf(c_0_2784,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
c_0_2174,
[final] ).
cnf(c_0_2785,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
c_0_2175,
[final] ).
cnf(c_0_2786,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_2176,
[final] ).
cnf(c_0_2787,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
c_0_2177,
[final] ).
cnf(c_0_2788,plain,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_2178,
[final] ).
cnf(c_0_2789,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
c_0_2179,
[final] ).
cnf(c_0_2790,plain,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3) ),
c_0_2180,
[final] ).
cnf(c_0_2791,plain,
( c_DefAss_O_092_060D_062(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X1,X2,X3),X4,X3) ),
c_0_2181,
[final] ).
cnf(c_0_2792,plain,
( c_DefAss_O_092_060D_062(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X1,X2,X3),X4,X3) ),
c_0_2182,
[final] ).
cnf(c_0_2793,plain,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3) ),
c_0_2183,
[final] ).
cnf(c_0_2794,plain,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
c_0_2184,
[final] ).
cnf(c_0_2795,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_2185,
[final] ).
cnf(c_0_2796,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
c_0_2186,
[final] ).
cnf(c_0_2797,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_2187,
[final] ).
cnf(c_0_2798,plain,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
c_0_2188,
[final] ).
cnf(c_0_2799,plain,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
c_0_2189,
[final] ).
cnf(c_0_2800,plain,
( hBOOL(hAPP(X4,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_OtakeWhile(X4,X3,X2) != X3 ),
c_0_2190,
[final] ).
cnf(c_0_2801,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_2191,
[final] ).
cnf(c_0_2802,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_2192,
[final] ).
cnf(c_0_2803,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_2193,
[final] ).
cnf(c_0_2804,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_2194,
[final] ).
cnf(c_0_2805,plain,
c_Fun_Oinj__on(c_Option_Ooption_OSome(X1),X2,X1,tc_Option_Ooption(X1)),
c_0_2195,
[final] ).
cnf(c_0_2806,plain,
c_Option_Omap(X1,c_Option_Ooption_ONone(X2),X2,X3) = c_Option_Ooption_ONone(X3),
c_0_2196,
[final] ).
cnf(c_0_2807,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
c_0_2197,
[final] ).
cnf(c_0_2808,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X4,X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
c_0_2198,
[final] ).
cnf(c_0_2809,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X4,X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
c_0_2199,
[final] ).
cnf(c_0_2810,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
c_0_2200,
[final] ).
cnf(c_0_2811,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
c_0_2201,
[final] ).
cnf(c_0_2812,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_2202,
[final] ).
cnf(c_0_2813,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_2203,
[final] ).
cnf(c_0_2814,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
c_0_2204,
[final] ).
cnf(c_0_2815,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_2205,
[final] ).
cnf(c_0_2816,plain,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_Odistinct(c_List_Olist_OCons(X1,X3,X2),X2)
| ~ c_List_Odistinct(X3,X2) ),
c_0_2206,
[final] ).
cnf(c_0_2817,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2207,
[final] ).
cnf(c_0_2818,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2208,
[final] ).
cnf(c_0_2819,plain,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
c_0_2209,
[final] ).
cnf(c_0_2820,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
c_0_2210,
[final] ).
cnf(c_0_2821,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
c_0_2211,
[final] ).
cnf(c_0_2822,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
c_0_2212,
[final] ).
cnf(c_0_2823,plain,
( c_DefAss_O_092_060D_062(X4,X2,X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,X1,X3) ),
c_0_2213,
[final] ).
cnf(c_0_2824,plain,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_Ohyper__subset(X2,X4,X3) ),
c_0_2214,
[final] ).
cnf(c_0_2825,plain,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3) = c_List_Orev(c_List_Oappend(X1,X2,X3),X3),
c_0_2215,
[final] ).
cnf(c_0_2826,plain,
c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X3),c_DefAss_O_092_060A_062(X2,X3),X3) = c_DefAss_O_092_060A_062(c_Expr_Oexp_OSeq(X1,X2,X3),X3),
c_0_2216,
[final] ).
cnf(c_0_2827,plain,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
c_0_2217,
[final] ).
cnf(c_0_2828,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
c_0_2218,
[final] ).
cnf(c_0_2829,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
c_0_2219,
[final] ).
cnf(c_0_2830,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
c_0_2220,
[final] ).
cnf(c_0_2831,plain,
c_Set_Oinsert(X2,hAPP(c_List_Oset(X1),X3),X1) = hAPP(c_List_Oset(X1),c_List_Olist_OCons(X2,X3,X1)),
c_0_2221,
[final] ).
cnf(c_0_2832,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
c_0_2222,
[final] ).
cnf(c_0_2833,plain,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(X3,X1)) ),
c_0_2223,
[final] ).
cnf(c_0_2834,plain,
c_List_Oconcat(c_List_Olist_OCons(X1,X2,tc_List_Olist(X3)),X3) = c_List_Oappend(X1,c_List_Oconcat(X2,X3),X3),
c_0_2224,
[final] ).
cnf(c_0_2835,plain,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2225,
[final] ).
cnf(c_0_2836,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2226,
[final] ).
cnf(c_0_2837,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2227,
[final] ).
cnf(c_0_2838,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_2228,
[final] ).
cnf(c_0_2839,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
c_0_2229,
[final] ).
cnf(c_0_2840,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
c_0_2230,
[final] ).
cnf(c_0_2841,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
c_0_2231,
[final] ).
cnf(c_0_2842,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_2232,
[final] ).
cnf(c_0_2843,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_2233,
[final] ).
cnf(c_0_2844,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
c_0_2234,
[final] ).
cnf(c_0_2845,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
c_0_2235,
[final] ).
cnf(c_0_2846,plain,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
c_0_2236,
[final] ).
cnf(c_0_2847,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4) ),
c_0_2237,
[final] ).
cnf(c_0_2848,plain,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
c_0_2238,
[final] ).
cnf(c_0_2849,plain,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
c_0_2239,
[final] ).
cnf(c_0_2850,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
c_0_2240,
[final] ).
cnf(c_0_2851,plain,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_2241,
[final] ).
cnf(c_0_2852,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2242,
[final] ).
cnf(c_0_2853,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2243,
[final] ).
cnf(c_0_2854,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2244,
[final] ).
cnf(c_0_2855,plain,
( c_DefAss_O_092_060D_062(X1,X3,X2)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X2),X3,X2) ),
c_0_2245,
[final] ).
cnf(c_0_2856,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
c_0_2246,
[final] ).
cnf(c_0_2857,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
c_0_2247,
[final] ).
cnf(c_0_2858,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
c_0_2248,
[final] ).
cnf(c_0_2859,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
c_0_2249,
[final] ).
cnf(c_0_2860,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_2250,
[final] ).
cnf(c_0_2861,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_2251,
[final] ).
cnf(c_0_2862,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
c_0_2252,
[final] ).
cnf(c_0_2863,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
c_0_2253,
[final] ).
cnf(c_0_2864,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
c_0_2254,
[final] ).
cnf(c_0_2865,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
c_0_2255,
[final] ).
cnf(c_0_2866,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
c_0_2256,
[final] ).
cnf(c_0_2867,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
c_0_2257,
[final] ).
cnf(c_0_2868,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
c_0_2258,
[final] ).
cnf(c_0_2869,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
c_0_2259,
[final] ).
cnf(c_0_2870,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
c_0_2260,
[final] ).
cnf(c_0_2871,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
c_0_2261,
[final] ).
cnf(c_0_2872,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
c_0_2262,
[final] ).
cnf(c_0_2873,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
c_0_2263,
[final] ).
cnf(c_0_2874,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
c_0_2264,
[final] ).
cnf(c_0_2875,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
c_0_2265,
[final] ).
cnf(c_0_2876,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
c_0_2266,
[final] ).
cnf(c_0_2877,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
c_0_2267,
[final] ).
cnf(c_0_2878,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
c_0_2268,
[final] ).
cnf(c_0_2879,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
c_0_2269,
[final] ).
cnf(c_0_2880,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
c_0_2270,
[final] ).
cnf(c_0_2881,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
c_0_2271,
[final] ).
cnf(c_0_2882,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
c_0_2272,
[final] ).
cnf(c_0_2883,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
c_0_2273,
[final] ).
cnf(c_0_2884,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
c_0_2274,
[final] ).
cnf(c_0_2885,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))),
c_0_2275,
[final] ).
cnf(c_0_2886,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)) = c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))),
c_0_2276,
[final] ).
cnf(c_0_2887,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
c_0_2277,
[final] ).
cnf(c_0_2888,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
c_0_2278,
[final] ).
cnf(c_0_2889,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
c_0_2279,
[final] ).
cnf(c_0_2890,plain,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
c_0_2280,
[final] ).
cnf(c_0_2891,plain,
( X1 = X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2281,
[final] ).
cnf(c_0_2892,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
c_0_2282,
[final] ).
cnf(c_0_2893,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
c_0_2283,
[final] ).
cnf(c_0_2894,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
c_0_2284,
[final] ).
cnf(c_0_2895,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_Onew(X1,X2),X2) = hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
c_0_2285,
[final] ).
cnf(c_0_2896,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OVal(X1,X2),X2) = hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
c_0_2286,
[final] ).
cnf(c_0_2897,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
c_0_2287,
[final] ).
cnf(c_0_2898,plain,
( c_lessequals(X1,X2,tc_nat)
| X1 = c_Suc(X2)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
c_0_2288,
[final] ).
cnf(c_0_2899,plain,
( c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_2289,
[final] ).
cnf(c_0_2900,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_2290,
[final] ).
cnf(c_0_2901,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
c_0_2291,
[final] ).
cnf(c_0_2902,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
c_0_2292,
[final] ).
cnf(c_0_2903,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
c_0_2293,
[final] ).
cnf(c_0_2904,plain,
( c_List_Odistinct(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_2294,
[final] ).
cnf(c_0_2905,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_2295,
[final] ).
cnf(c_0_2906,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
c_0_2296,
[final] ).
cnf(c_0_2907,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_2297,
[final] ).
cnf(c_0_2908,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
c_0_2298,
[final] ).
cnf(c_0_2909,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
c_0_2299,
[final] ).
cnf(c_0_2910,plain,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
c_0_2300,
[final] ).
cnf(c_0_2911,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OCast(X1,X2,X3),X3) = c_DefAss_O_092_060A_062(X2,X3),
c_0_2301,
[final] ).
cnf(c_0_2912,plain,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OWhile(X1,X2,X3),X3) = c_DefAss_O_092_060A_062(X1,X3),
c_0_2302,
[final] ).
cnf(c_0_2913,plain,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
c_0_2303,
[final] ).
cnf(c_0_2914,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
c_0_2304,
[final] ).
cnf(c_0_2915,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
c_0_2305,
[final] ).
cnf(c_0_2916,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
c_0_2306,
[final] ).
cnf(c_0_2917,plain,
( X1 = c_List_Olist_ONil(X2)
| c_in(c_List_Olast(X1,X2),hAPP(c_List_Oset(X2),X1),X2) ),
c_0_2307,
[final] ).
cnf(c_0_2918,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2308,
[final] ).
cnf(c_0_2919,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
c_0_2309,
[final] ).
cnf(c_0_2920,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X2),X1,tc_nat) ),
c_0_2310,
[final] ).
cnf(c_0_2921,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
c_0_2311,
[final] ).
cnf(c_0_2922,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
c_0_2312,
[final] ).
cnf(c_0_2923,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
c_0_2313,
[final] ).
cnf(c_0_2924,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
c_0_2314,
[final] ).
cnf(c_0_2925,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
c_0_2315,
[final] ).
cnf(c_0_2926,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
c_0_2316,
[final] ).
cnf(c_0_2927,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
c_0_2317,
[final] ).
cnf(c_0_2928,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
c_0_2318,
[final] ).
cnf(c_0_2929,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
c_0_2319,
[final] ).
cnf(c_0_2930,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
c_0_2320,
[final] ).
cnf(c_0_2931,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
c_0_2321,
[final] ).
cnf(c_0_2932,plain,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
c_0_2322,
[final] ).
cnf(c_0_2933,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
c_0_2323,
[final] ).
cnf(c_0_2934,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
c_0_2324,
[final] ).
cnf(c_0_2935,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
c_0_2325,
[final] ).
cnf(c_0_2936,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
c_0_2326,
[final] ).
cnf(c_0_2937,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
c_0_2327,
[final] ).
cnf(c_0_2938,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
c_0_2328,
[final] ).
cnf(c_0_2939,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
c_0_2329,
[final] ).
cnf(c_0_2940,plain,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
c_0_2330,
[final] ).
cnf(c_0_2941,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
c_0_2331,
[final] ).
cnf(c_0_2942,plain,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
c_0_2332,
[final] ).
cnf(c_0_2943,plain,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
c_0_2333,
[final] ).
cnf(c_0_2944,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
c_0_2334,
[final] ).
cnf(c_0_2945,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
c_0_2335,
[final] ).
cnf(c_0_2946,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_2336,
[final] ).
cnf(c_0_2947,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_2337,
[final] ).
cnf(c_0_2948,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2338,
[final] ).
cnf(c_0_2949,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_2339,
[final] ).
cnf(c_0_2950,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2340,
[final] ).
cnf(c_0_2951,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
c_0_2341,
[final] ).
cnf(c_0_2952,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_2342,
[final] ).
cnf(c_0_2953,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_2343,
[final] ).
cnf(c_0_2954,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_2344,
[final] ).
cnf(c_0_2955,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_2345,
[final] ).
cnf(c_0_2956,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
c_0_2346,
[final] ).
cnf(c_0_2957,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_2347,
[final] ).
cnf(c_0_2958,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_2348,
[final] ).
cnf(c_0_2959,plain,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
c_0_2349,
[final] ).
cnf(c_0_2960,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
c_0_2350,
[final] ).
cnf(c_0_2961,plain,
c_List_Olist_OCons(X2,X1,X3) != X1,
c_0_2351,
[final] ).
cnf(c_0_2962,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
c_0_2352,
[final] ).
cnf(c_0_2963,plain,
~ c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X1),X2),X1),
c_0_2353,
[final] ).
cnf(c_0_2964,plain,
c_DefAss_O_092_060D_062(c_Expr_Oexp_Onew(X1,X2),X3,X2),
c_0_2354,
[final] ).
cnf(c_0_2965,plain,
c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X1,X2),X3,X2),
c_0_2355,
[final] ).
cnf(c_0_2966,plain,
( X1 = c_List_Olist_ONil(X2)
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_List_Oset(X2),X1) ),
c_0_2356,
[final] ).
cnf(c_0_2967,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Oset(X2),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
c_0_2357,
[final] ).
cnf(c_0_2968,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
c_0_2358,
[final] ).
cnf(c_0_2969,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
c_0_2359,
[final] ).
cnf(c_0_2970,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
c_0_2360,
[final] ).
cnf(c_0_2971,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2361,
[final] ).
cnf(c_0_2972,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2362,
[final] ).
cnf(c_0_2973,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
c_0_2363,
[final] ).
cnf(c_0_2974,plain,
hAPP(c_List_Oset(X1),c_List_Orev(X2,X1)) = hAPP(c_List_Oset(X1),X2),
c_0_2364,
[final] ).
cnf(c_0_2975,plain,
c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
c_0_2365,
[final] ).
cnf(c_0_2976,plain,
( X1 = X2
| hAPP(c_Option_Ooption_OSome(X3),X1) != hAPP(c_Option_Ooption_OSome(X3),X2) ),
c_0_2366,
[final] ).
cnf(c_0_2977,plain,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
c_0_2367,
[final] ).
cnf(c_0_2978,plain,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_2368,
[final] ).
cnf(c_0_2979,plain,
( c_List_Odistinct(c_List_Orev(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_2369,
[final] ).
cnf(c_0_2980,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_2370,
[final] ).
cnf(c_0_2981,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_2371,
[final] ).
cnf(c_0_2982,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_2372,
[final] ).
cnf(c_0_2983,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_2373,
[final] ).
cnf(c_0_2984,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_2374,
[final] ).
cnf(c_0_2985,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
c_0_2375,
[final] ).
cnf(c_0_2986,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_2376,
[final] ).
cnf(c_0_2987,plain,
c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
c_0_2377,
[final] ).
cnf(c_0_2988,plain,
c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_2378,
[final] ).
cnf(c_0_2989,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
c_0_2379,
[final] ).
cnf(c_0_2990,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
c_0_2380,
[final] ).
cnf(c_0_2991,plain,
c_fequal(X1,X1,X2),
c_0_2381,
[final] ).
cnf(c_0_2992,plain,
c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
c_0_2382,
[final] ).
cnf(c_0_2993,plain,
hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
c_0_2383,
[final] ).
cnf(c_0_2994,plain,
hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
c_0_2384,
[final] ).
cnf(c_0_2995,plain,
c_lessequals(X1,X1,tc_nat),
c_0_2385,
[final] ).
cnf(c_0_2996,plain,
c_lessequals(X1,X1,tc_nat),
c_0_2386,
[final] ).
cnf(c_0_2997,plain,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
c_0_2387,
[final] ).
cnf(c_0_2998,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
c_0_2388,
[final] ).
cnf(c_0_2999,plain,
( X1 = X2
| c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3) ),
c_0_2389,
[final] ).
cnf(c_0_3000,plain,
( X1 = X2
| c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
c_0_2390,
[final] ).
cnf(c_0_3001,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_Onew(X3,X2),
c_0_2391,
[final] ).
cnf(c_0_3002,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
c_0_2392,
[final] ).
cnf(c_0_3003,plain,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
c_0_2393,
[final] ).
cnf(c_0_3004,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
c_0_2394,
[final] ).
cnf(c_0_3005,plain,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
c_0_2395,
[final] ).
cnf(c_0_3006,plain,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Onew(X3,X2),
c_0_2396,
[final] ).
cnf(c_0_3007,plain,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_2397,
[final] ).
cnf(c_0_3008,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
c_0_2398,
[final] ).
cnf(c_0_3009,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
c_0_2399,
[final] ).
cnf(c_0_3010,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
c_0_2400,
[final] ).
cnf(c_0_3011,plain,
c_BigStep_Ofinal(c_Expr_Oexp_OVal(X1,X2),X2),
c_0_2401,
[final] ).
cnf(c_0_3012,plain,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
c_0_2402,
[final] ).
cnf(c_0_3013,plain,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
c_0_2403,
[final] ).
cnf(c_0_3014,plain,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
c_0_2404,
[final] ).
cnf(c_0_3015,plain,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
c_0_2405,
[final] ).
cnf(c_0_3016,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
c_0_2406,
[final] ).
cnf(c_0_3017,plain,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
c_0_2407,
[final] ).
cnf(c_0_3018,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
c_0_2408,
[final] ).
cnf(c_0_3019,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
c_0_2409,
[final] ).
cnf(c_0_3020,plain,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
c_0_2410,
[final] ).
cnf(c_0_3021,plain,
c_List_Oconcat(c_List_Olist_ONil(tc_List_Olist(X1)),X1) = c_List_Olist_ONil(X1),
c_0_2411,
[final] ).
cnf(c_0_3022,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2412,
[final] ).
cnf(c_0_3023,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2413,
[final] ).
cnf(c_0_3024,plain,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
c_0_2414,
[final] ).
cnf(c_0_3025,plain,
( X1 = c_Option_Ooption_ONone(X2)
| ~ c_Option_Ois__none(X1,X2) ),
c_0_2415,
[final] ).
cnf(c_0_3026,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2416,
[final] ).
cnf(c_0_3027,plain,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2417,
[final] ).
cnf(c_0_3028,plain,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2418,
[final] ).
cnf(c_0_3029,plain,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2419,
[final] ).
cnf(c_0_3030,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
c_0_2420,
[final] ).
cnf(c_0_3031,plain,
c_Option_Ois__none(c_Option_Ooption_ONone(X1),X1),
c_0_2421,
[final] ).
cnf(c_0_3032,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_2422,
[final] ).
cnf(c_0_3033,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_2423,
[final] ).
cnf(c_0_3034,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_2424,
[final] ).
cnf(c_0_3035,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_2425,
[final] ).
cnf(c_0_3036,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_2426,
[final] ).
cnf(c_0_3037,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_2427,
[final] ).
cnf(c_0_3038,plain,
c_Suc(X1) != X1,
c_0_2428,
[final] ).
cnf(c_0_3039,plain,
c_Suc(X1) != X1,
c_0_2429,
[final] ).
cnf(c_0_3040,plain,
class_HOL_Oord(tc_bool),
c_0_2430,
[final] ).
cnf(c_0_3041,plain,
class_Orderings_Obot(tc_bool),
c_0_2431,
[final] ).
cnf(c_0_3042,plain,
class_Orderings_Oorder(tc_bool),
c_0_2432,
[final] ).
cnf(c_0_3043,plain,
class_Orderings_Opreorder(tc_bool),
c_0_2433,
[final] ).
cnf(c_0_3044,plain,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
c_0_2434,
[final] ).
cnf(c_0_3045,plain,
class_HOL_Oord(tc_nat),
c_0_2435,
[final] ).
cnf(c_0_3046,plain,
class_Orderings_Obot(tc_nat),
c_0_2436,
[final] ).
cnf(c_0_3047,plain,
class_Orderings_Oorder(tc_nat),
c_0_2437,
[final] ).
cnf(c_0_3048,plain,
class_Orderings_Olinorder(tc_nat),
c_0_2438,
[final] ).
cnf(c_0_3049,plain,
class_Orderings_Opreorder(tc_nat),
c_0_2439,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_2440_0,axiom,
( c_BigStep_Oeval(X1,X5,c_Pair(X6,c_Map_Omap__upds(X7,X2,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))),X8,c_Pair(X9,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X1,X5,X8,X6,X9,X7,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))))
| ~ c_BigStep_Oeval(X1,c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X5,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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))),X8,c_Pair(X9,X10,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2440_1,axiom,
( ~ c_BigStep_Oeval(X1,c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X5,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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))),X8,c_Pair(X9,X10,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X1,X5,c_Pair(X6,c_Map_Omap__upds(X7,X2,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))),X8,c_Pair(X9,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X1,X5,X8,X6,X9,X7,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))))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2440_2,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| ~ c_BigStep_Oeval(X1,c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X5,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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))),X8,c_Pair(X9,X10,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X1,X5,c_Pair(X6,c_Map_Omap__upds(X7,X2,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))),X8,c_Pair(X9,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X1,X5,X8,X6,X9,X7,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))))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2440_3,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| ~ c_BigStep_Oeval(X1,c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X5,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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))),X8,c_Pair(X9,X10,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X1,X5,c_Pair(X6,c_Map_Omap__upds(X7,X2,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))),X8,c_Pair(X9,c_Equivalence_Osko__Equivalence__XblocksEval__1__1(X1,X5,X8,X6,X9,X7,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)))) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2441_0,axiom,
( c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| ~ c_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_1,axiom,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| ~ c_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_2,axiom,
( c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_3,axiom,
( ~ c_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_4,axiom,
( ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_Ofinal(X7,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_5,axiom,
( ~ c_BigStep_Ofinal(X7,tc_List_Olist(tc_String_Ochar))
| ~ c_in(c_Pair(c_Pair(X4,c_Pair(X5,c_Map_Omap__upds(X6,X1,X3,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(X7,c_Pair(X8,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_List_Odistinct(X1,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_Type_Oty))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X1,c_Pair(X2,c_Pair(X3,X4,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(X7,c_Pair(X8,c_Fun_Ooverride__on(X9,X6,hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),X1),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(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(X10),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2442_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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(X7,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(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_OVal(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(X6,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,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(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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2442_1,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(c_Expr_Oexp_OVal(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(c_Expr_Oexp_OSeq(X1,X6,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(X7,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(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(X6,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,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(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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2442_2,axiom,
( ~ c_in(c_Pair(c_Pair(X6,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,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(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_OVal(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(c_Expr_Oexp_OSeq(X1,X6,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(X7,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(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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2443_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2443]) ).
cnf(c_0_2443_1,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_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2443]) ).
cnf(c_0_2444_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2444]) ).
cnf(c_0_2444_1,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_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2444]) ).
cnf(c_0_2445_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_1,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_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(c_Expr_Oexp_OLAss(X6,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_OLAss(X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2446_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_1,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_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(c_Expr_Oexp_OSeq(X1,X6,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_OSeq(X3,X6,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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2447_0,axiom,
( c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(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_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_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty)) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_1,axiom,
( ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(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_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_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty)) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_2,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(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_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_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty)) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_3,axiom,
( c_Nat_Osize__class_Osize(X4,tc_List_Olist(tc_Value_Oval)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(tc_Type_Oty))
| ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_in(c_Pair(c_Pair(c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X3,c_Pair(X4,X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),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(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_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)))))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2453_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2453_1,axiom,
( ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b)))
| hBOOL(hAPP(X1,hAPP(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2454_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2454_1,axiom,
( ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X4,X2,hAPP(c_Option_Ooption_OSome(t_b),X3),t_a,t_b)))
| hBOOL(hAPP(X1,hAPP(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2455_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X2,X3,c_Option_Ooption_ONone(t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_2455]) ).
cnf(c_0_2455_1,axiom,
( ~ hBOOL(hAPP(X1,c_Option_Ooption_Ooption__case(X2,X3,c_Option_Ooption_ONone(t_b),t_a,t_b)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2455]) ).
cnf(c_0_2456_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_Map_Omap__upds(c_Fun_Ofun__upd(X4,X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)),X3,X7,X2,X5) = c_Fun_Ofun__upd(c_Map_Omap__upds(X4,X3,X7,X2,X5),X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2456_1,axiom,
( c_Map_Omap__upds(c_Fun_Ofun__upd(X4,X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5)),X3,X7,X2,X5) = c_Fun_Ofun__upd(c_Map_Omap__upds(X4,X3,X7,X2,X5),X1,hAPP(c_Option_Ooption_OSome(X5),X6),X2,tc_Option_Ooption(X5))
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2457_0,axiom,
( X1 = X2
| c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2457]) ).
cnf(c_0_2457_1,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2457]) ).
cnf(c_0_2458_0,axiom,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(c_Option_Ooption_OSome(X5),X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X8)
| hAPP(X1,X8) != hAPP(c_Option_Ooption_OSome(X5),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2458_1,axiom,
( hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X8)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(c_Option_Ooption_OSome(X5),X7)
| hAPP(X1,X8) != hAPP(c_Option_Ooption_OSome(X5),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2458_2,axiom,
( hAPP(X1,X8) != hAPP(c_Option_Ooption_OSome(X5),X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X8)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(c_Option_Ooption_OSome(X5),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2459_0,axiom,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7)
| hAPP(X1,X7) != c_Option_Ooption_ONone(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2459_1,axiom,
( hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X1,X7) != c_Option_Ooption_ONone(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2459_2,axiom,
( hAPP(X1,X7) != c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2460_0,axiom,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(X1,X7)
| hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2460]) ).
cnf(c_0_2460_1,axiom,
( hAPP(X2,X3) != hAPP(c_Option_Ooption_OSome(X4),X7)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = hAPP(X1,X7) ),
inference(literals_permutation,[status(thm)],[c_0_2460]) ).
cnf(c_0_2461_0,axiom,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != c_Option_Ooption_ONone(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2461]) ).
cnf(c_0_2461_1,axiom,
( hAPP(X2,X3) != c_Option_Ooption_ONone(X4)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2461]) ).
cnf(c_0_2462_0,axiom,
( c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5)
| hAPP(X2,X3) != c_Option_Ooption_ONone(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2462_1,axiom,
( hAPP(X2,X3) != c_Option_Ooption_ONone(X4)
| c_Map_Omap__comp(X1,X2,X3,X4,X5,X6) = c_Option_Ooption_ONone(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2463_0,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
| ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2463_1,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
| ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2463_2,axiom,
( ~ c_BigStep_Oeval(X1,X6,X5,X7,X8)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2464_0,axiom,
( c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,hAPP(c_Option_Ooption_OSome(tc_fun(X5,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)),X5),X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2464_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5)
| c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,hAPP(c_Option_Ooption_OSome(tc_fun(X5,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2467_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X6,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2467]) ).
cnf(c_0_2467_1,axiom,
( ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X6,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2467]) ).
cnf(c_0_2467_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X3),X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X6,X5,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2467]) ).
cnf(c_0_2471_0,axiom,
( c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,c_DefAss_O_092_060A_062(X1,X5),X5),X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5)
| c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X6,c_DefAss_O_092_060A_062(X1,X5),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2472_0,axiom,
( X1 = X2
| hAPP(X3,X1) = hAPP(c_Option_Ooption_OSome(X4),X5)
| hAPP(c_Fun_Ofun__upd(X3,X2,hAPP(c_Option_Ooption_OSome(X4),X6),X7,tc_Option_Ooption(X4)),X1) != hAPP(c_Option_Ooption_OSome(X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2472]) ).
cnf(c_0_2472_1,axiom,
( hAPP(X3,X1) = hAPP(c_Option_Ooption_OSome(X4),X5)
| X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,hAPP(c_Option_Ooption_OSome(X4),X6),X7,tc_Option_Ooption(X4)),X1) != hAPP(c_Option_Ooption_OSome(X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2472]) ).
cnf(c_0_2472_2,axiom,
( hAPP(c_Fun_Ofun__upd(X3,X2,hAPP(c_Option_Ooption_OSome(X4),X6),X7,tc_Option_Ooption(X4)),X1) != hAPP(c_Option_Ooption_OSome(X4),X5)
| hAPP(X3,X1) = hAPP(c_Option_Ooption_OSome(X4),X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2472]) ).
cnf(c_0_2473_0,axiom,
( X1 = X2
| hAPP(X3,X4) = hAPP(c_Option_Ooption_OSome(X5),X2)
| hAPP(c_Fun_Ofun__upd(X3,X6,hAPP(c_Option_Ooption_OSome(X5),X1),X7,tc_Option_Ooption(X5)),X4) != hAPP(c_Option_Ooption_OSome(X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2473]) ).
cnf(c_0_2473_1,axiom,
( hAPP(X3,X4) = hAPP(c_Option_Ooption_OSome(X5),X2)
| X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X6,hAPP(c_Option_Ooption_OSome(X5),X1),X7,tc_Option_Ooption(X5)),X4) != hAPP(c_Option_Ooption_OSome(X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2473]) ).
cnf(c_0_2473_2,axiom,
( hAPP(c_Fun_Ofun__upd(X3,X6,hAPP(c_Option_Ooption_OSome(X5),X1),X7,tc_Option_Ooption(X5)),X4) != hAPP(c_Option_Ooption_OSome(X5),X2)
| hAPP(X3,X4) = hAPP(c_Option_Ooption_OSome(X5),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2473]) ).
cnf(c_0_2474_0,axiom,
( X4 = X6
| hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) != hAPP(c_Option_Ooption_OSome(X3),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2474]) ).
cnf(c_0_2474_1,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) != hAPP(c_Option_Ooption_OSome(X3),X6)
| X4 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2474]) ).
cnf(c_0_2475_0,axiom,
( ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ c_in(X2,hAPP(c_List_Oset(X4),X3),X4)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2475_1,axiom,
( ~ c_in(X2,hAPP(c_List_Oset(X4),X3),X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2475_2,axiom,
( ~ class_Orderings_Olinorder(X5)
| ~ c_in(X2,hAPP(c_List_Oset(X4),X3),X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2476_0,axiom,
( X1 = X2
| c_Fun_Ofun__upd(X3,X4,hAPP(c_Option_Ooption_OSome(X5),X1),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,hAPP(c_Option_Ooption_OSome(X5),X2),X6,tc_Option_Ooption(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2476]) ).
cnf(c_0_2476_1,axiom,
( c_Fun_Ofun__upd(X3,X4,hAPP(c_Option_Ooption_OSome(X5),X1),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,hAPP(c_Option_Ooption_OSome(X5),X2),X6,tc_Option_Ooption(X5))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2476]) ).
cnf(c_0_2477_0,axiom,
( c_DefAss_O_092_060D_062(X1,X6,X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2477_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X6,X5)
| c_DefAss_O_092_060D_062(X1,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2478_0,axiom,
( c_DefAss_O_092_060D_062(X1,X6,X5)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5),X6,X5)
| c_DefAss_O_092_060D_062(X1,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2479_0,axiom,
( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X5,X6,X4),X6)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_1,axiom,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X5,X6,X4),X6)
| c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X5,X6,X4),X6)
| c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2480_0,axiom,
( c_List_Odistinct(X3,X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2480_1,axiom,
( ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| c_List_Odistinct(X3,X4)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2480_2,axiom,
( ~ class_Orderings_Olinorder(X5)
| ~ c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4)
| c_List_Odistinct(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2481_0,axiom,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2481_1,axiom,
( c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2482_0,axiom,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2482_1,axiom,
( c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2483_0,axiom,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2483_1,axiom,
( c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2484_0,axiom,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2484_1,axiom,
( c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2485_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2485]) ).
cnf(c_0_2485_1,axiom,
( c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2485]) ).
cnf(c_0_2486_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2486]) ).
cnf(c_0_2486_1,axiom,
( c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2486]) ).
cnf(c_0_2487_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2487_1,axiom,
( c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2488_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2488_1,axiom,
( c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2491_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X5,X6,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2491_1,axiom,
( ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X5,X6,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2491_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAss(X1,X5,X6,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2492_0,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X6) = hAPP(c_Option_Ooption_OSome(X3),X7)
| X6 = X2
| hAPP(X1,X6) != hAPP(c_Option_Ooption_OSome(X3),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2492_1,axiom,
( X6 = X2
| hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X6) = hAPP(c_Option_Ooption_OSome(X3),X7)
| hAPP(X1,X6) != hAPP(c_Option_Ooption_OSome(X3),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2492_2,axiom,
( hAPP(X1,X6) != hAPP(c_Option_Ooption_OSome(X3),X7)
| X6 = X2
| hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X6) = hAPP(c_Option_Ooption_OSome(X3),X7) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2493_0,axiom,
( c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2493_1,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2494_0,axiom,
( c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2494_1,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6))
| c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2495_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X4,X1,X3,X2,X5),X2)
| ~ c_List_Odistinct(X3,X2)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_1,axiom,
( c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X4,X1,X3,X2,X5),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| ~ c_List_Odistinct(X3,X2)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_2,axiom,
( ~ c_List_Odistinct(X3,X2)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X4,X1,X3,X2,X5),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_3,axiom,
( ~ class_Orderings_Olinorder(X5)
| ~ c_List_Odistinct(X3,X2)
| c_List_Odistinct(c_List_Olinorder__class_Oinsort__key(X4,X1,X3,X2,X5),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2497_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| hAPP(c_Map_Omap__upds(X4,X3,X5,X2,X6),X1) = hAPP(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2497_1,axiom,
( hAPP(c_Map_Omap__upds(X4,X3,X5,X2,X6),X1) = hAPP(X4,X1)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2499_0,axiom,
( hAPP(c_List_Oset(X1),c_List_Olinorder__class_Oinsort__key(X2,X3,X4,X1,X5)) = c_Set_Oinsert(X3,hAPP(c_List_Oset(X1),X4),X1)
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2499_1,axiom,
( ~ class_Orderings_Olinorder(X5)
| hAPP(c_List_Oset(X1),c_List_Olinorder__class_Oinsort__key(X2,X3,X4,X1,X5)) = c_Set_Oinsert(X3,hAPP(c_List_Oset(X1),X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2500_0,axiom,
( hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X5,X1)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2500_1,axiom,
( ~ c_in(X1,X2,X3)
| hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X5,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2501_0,axiom,
( c_in(X1,X2,X3)
| hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2501_1,axiom,
( hAPP(c_Fun_Ooverride__on(X4,X5,X2,X3,X6),X1) = hAPP(X4,X1)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2502_0,axiom,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2502_1,axiom,
( ~ c_in(c_Pair(X1,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))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2502_2,axiom,
( ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,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)) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2503_0,axiom,
( c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)))
| ~ class_Orderings_Olinorder(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2503_1,axiom,
( ~ class_Orderings_Olinorder(X5)
| c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),tc_List_Olist(X4)) = c_Suc(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2504_0,axiom,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2504_1,axiom,
( ~ c_in(c_Pair(X1,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))
| ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2504_2,axiom,
( ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,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)) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2505_0,axiom,
( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2505_1,axiom,
( ~ c_in(c_Pair(X1,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))
| ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2505_2,axiom,
( ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X1,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)) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2506_0,axiom,
( X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2506_1,axiom,
( hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2507_0,axiom,
( X1 = X2
| hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2507_1,axiom,
( hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2547_0,axiom,
( X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2547_1,axiom,
( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5)
| X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2548_0,axiom,
( X5 = X3
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2548]) ).
cnf(c_0_2548_1,axiom,
( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5)
| X5 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2548]) ).
cnf(c_0_2561_0,axiom,
( c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2561]) ).
cnf(c_0_2561_1,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,X4,X5)
| c_BigStep_Ofinal(X4,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2561]) ).
cnf(c_0_2562_0,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2562_1,axiom,
( c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1
| hAPP(X1,X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2563_0,axiom,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X5,X6),X6)
| ~ c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2563_1,axiom,
( ~ c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X5,X6),X6)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2563_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X5,X6),X6,X4) = c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X5,X6),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2565_0,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ c_in(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2565_1,axiom,
( ~ c_in(X1,X2,X3)
| hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2565_2,axiom,
( ~ hBOOL(hAPP(hAPP(X4,X1),X5))
| ~ c_in(X1,X2,X3)
| hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2566_0,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ c_in(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2566_1,axiom,
( ~ c_in(X1,X2,X3)
| hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X4,X1),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2566_2,axiom,
( ~ hBOOL(hAPP(hAPP(X4,X1),X5))
| ~ c_in(X1,X2,X3)
| hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X6,tc_bool)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2567_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X4,X5,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X5,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2567_1,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)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X5,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2567_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ 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)
| ~ c_DefAss_O_092_060D_062(X5,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2567_3,axiom,
( ~ c_DefAss_O_092_060D_062(X5,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ 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) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2568_0,axiom,
( c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)) = X1
| hAPP(X1,X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2568]) ).
cnf(c_0_2568_1,axiom,
( hAPP(X1,X2) != hAPP(c_Option_Ooption_OSome(X3),X4)
| c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2568]) ).
cnf(c_0_2569_0,axiom,
( c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_ONil(X3),X3,X4) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2569_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_ONil(X3),X3,X4) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2573_0,axiom,
( c_BigStep_Oeval(X2,X1,X3,X1,X3)
| ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar)) ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2573_1,axiom,
( ~ c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
| c_BigStep_Oeval(X2,X1,X3,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2581_0,axiom,
( c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_1,axiom,
( ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_2,axiom,
( ~ c_in(X6,X1,X3)
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2582_0,axiom,
( c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2582]) ).
cnf(c_0_2582_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4)
| c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2582]) ).
cnf(c_0_2583_0,axiom,
( c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2583]) ).
cnf(c_0_2583_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4)
| c_DefAss_O_092_060D_062(X3,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2583]) ).
cnf(c_0_2584_0,axiom,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2584_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4)
| c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X5,c_DefAss_O_092_060A_062(X1,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2585_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2585_1,axiom,
( ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X5,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2585_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X5,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2586_0,axiom,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2586]) ).
cnf(c_0_2586_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCond(X1,X2,X3,X4),X5,X4)
| c_DefAss_O_092_060D_062(X1,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2586]) ).
cnf(c_0_2587_0,axiom,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2587]) ).
cnf(c_0_2587_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X5,X4)
| c_DefAss_O_092_060D_062(X1,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2587]) ).
cnf(c_0_2588_0,axiom,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2588]) ).
cnf(c_0_2588_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) ),
inference(literals_permutation,[status(thm)],[c_0_2588]) ).
cnf(c_0_2589_0,axiom,
( c_DefAss_O_092_060D_062(X1,X5,X4)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X1,X2,X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2589]) ).
cnf(c_0_2589_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCall(X1,X2,X3,X4),X5,X4)
| c_DefAss_O_092_060D_062(X1,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2589]) ).
cnf(c_0_2590_0,axiom,
( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X5,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2590_1,axiom,
( hAPP(X5,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2590_2,axiom,
( hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X5,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2591_0,axiom,
( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2591_1,axiom,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2591_2,axiom,
( hAPP(c_Map_Omap__add(X5,X1,X6,X3),X2) != hAPP(c_Option_Ooption_OSome(X3),X4)
| hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2592_0,axiom,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2592_1,axiom,
( X1 = X3
| X1 = X2
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2592_2,axiom,
( c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
| X1 = X3
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2593_0,axiom,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2593_1,axiom,
( X3 = X2
| X1 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2593_2,axiom,
( c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X3 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2594_0,axiom,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2594_1,axiom,
( X3 = X2
| X1 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2594_2,axiom,
( c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X3 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2595_0,axiom,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2595_1,axiom,
( X1 = X3
| X1 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2595_2,axiom,
( c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
| X1 = X3
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2596_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X4,c_List_Olist_OCons(X1,X3,X2),X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2596_1,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X4,c_List_Olist_OCons(X1,X3,X2),X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2597_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2597_1,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2598_0,axiom,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X4,X1,X5,X3),X2) != c_Option_Ooption_ONone(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2598]) ).
cnf(c_0_2598_1,axiom,
( hAPP(c_Map_Omap__add(X4,X1,X5,X3),X2) != c_Option_Ooption_ONone(X3)
| hAPP(X1,X2) = c_Option_Ooption_ONone(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2598]) ).
cnf(c_0_2599_0,axiom,
( hAPP(X1,X2) = c_Option_Ooption_ONone(X3)
| hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2) != c_Option_Ooption_ONone(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2599_1,axiom,
( hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2) != c_Option_Ooption_ONone(X3)
| hAPP(X1,X2) = c_Option_Ooption_ONone(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2600_0,axiom,
( c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2600_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2600_2,axiom,
( ~ c_in(X4,hAPP(X5,X1),X6)
| ~ c_in(X1,X2,X3)
| c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2601_0,axiom,
( c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2601_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6)
| ~ c_in(X4,hAPP(X5,X1),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2601_2,axiom,
( ~ c_in(X4,hAPP(X5,X1),X6)
| ~ c_in(X1,X2,X3)
| c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X5,X3,tc_fun(X6,tc_bool)),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2602_0,axiom,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2602_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2604_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X3,X4,X2),X2)),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2604_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X3,X4,X2),X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2605_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X4,X3,X2),X2)),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2605]) ).
cnf(c_0_2605_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(c_List_Oappend(X4,X3,X2),X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2605]) ).
cnf(c_0_2606_0,axiom,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_1,axiom,
( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2607_0,axiom,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_1,axiom,
( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2608_0,axiom,
( X1 = X2
| c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2608_1,axiom,
( c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2609_0,axiom,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2609_1,axiom,
( c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2610_0,axiom,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2610_1,axiom,
( c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2611_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2611]) ).
cnf(c_0_2611_1,axiom,
( c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2611]) ).
cnf(c_0_2612_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2612]) ).
cnf(c_0_2612_1,axiom,
( c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2612]) ).
cnf(c_0_2613_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2613]) ).
cnf(c_0_2613_1,axiom,
( c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2613]) ).
cnf(c_0_2614_0,axiom,
( X1 = X2
| c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2614]) ).
cnf(c_0_2614_1,axiom,
( c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2614]) ).
cnf(c_0_2615_0,axiom,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2615]) ).
cnf(c_0_2615_1,axiom,
( c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2615]) ).
cnf(c_0_2616_0,axiom,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2616]) ).
cnf(c_0_2616_1,axiom,
( c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2616]) ).
cnf(c_0_2617_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2617]) ).
cnf(c_0_2617_1,axiom,
( c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2617]) ).
cnf(c_0_2618_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_1,axiom,
( c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2619_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_1,axiom,
( c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2620_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_1,axiom,
( c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2621_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_1,axiom,
( c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2622_0,axiom,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_1,axiom,
( c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2643_0,axiom,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2643]) ).
cnf(c_0_2643_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2643]) ).
cnf(c_0_2643_2,axiom,
( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2643]) ).
cnf(c_0_2646_0,axiom,
( c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2646]) ).
cnf(c_0_2646_1,axiom,
( ~ c_in(X1,X2,X3)
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2646]) ).
cnf(c_0_2647_0,axiom,
( c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ c_in(X1,X2,X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2647]) ).
cnf(c_0_2647_1,axiom,
( ~ c_in(X1,X2,X3)
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(literals_permutation,[status(thm)],[c_0_2647]) ).
cnf(c_0_2647_2,axiom,
( ~ class_Complete__Lattice_Ocomplete__lattice(X5)
| ~ c_in(X1,X2,X3)
| c_lessequals(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2647]) ).
cnf(c_0_2648_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2648]) ).
cnf(c_0_2648_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2648]) ).
cnf(c_0_2648_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2648]) ).
cnf(c_0_2649_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X3),X2),X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2649]) ).
cnf(c_0_2649_1,axiom,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(X3),X2),X1,X3)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2649]) ).
cnf(c_0_2651_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OFAcc(X1,X4,X5,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2651]) ).
cnf(c_0_2651_1,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) ),
inference(literals_permutation,[status(thm)],[c_0_2651]) ).
cnf(c_0_2652_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2652_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2652_2,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2652_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2654_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2654_1,axiom,
( hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X1,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2654_2,axiom,
( hAPP(X1,X5) != hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2655_0,axiom,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_1,axiom,
( ~ c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_2,axiom,
( ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_3,axiom,
( ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_4,axiom,
( hAPP(X5,X1) != hAPP(X5,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2656_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_1,axiom,
( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_2,axiom,
( ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_3,axiom,
( ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_4,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2657_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_1,axiom,
( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_2,axiom,
( ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_3,axiom,
( ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_4,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2658_0,axiom,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2658_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2658_2,axiom,
( ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2658_3,axiom,
( ~ c_in(X6,X2,X3)
| ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2658_4,axiom,
( hAPP(X1,X5) != hAPP(X1,X6)
| ~ c_in(X6,X2,X3)
| ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2661_0,axiom,
( hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2661]) ).
cnf(c_0_2661_1,axiom,
( ~ c_in(X1,X2,X3)
| hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2661]) ).
cnf(c_0_2661_2,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2661]) ).
cnf(c_0_2662_0,axiom,
( hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2662]) ).
cnf(c_0_2662_1,axiom,
( ~ c_in(X1,X2,X3)
| hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2662]) ).
cnf(c_0_2662_2,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_in(X1,X2,X3)
| hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2662]) ).
cnf(c_0_2663_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2663]) ).
cnf(c_0_2663_1,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2663]) ).
cnf(c_0_2663_2,axiom,
( ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2663]) ).
cnf(c_0_2664_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2664_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2664_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2665_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2665]) ).
cnf(c_0_2665_1,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)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2665]) ).
cnf(c_0_2665_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2665]) ).
cnf(c_0_2666_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X4,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2666]) ).
cnf(c_0_2666_1,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)
| ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2666]) ).
cnf(c_0_2666_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,c_DefAss_OhyperUn(X2,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2666]) ).
cnf(c_0_2667_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2667]) ).
cnf(c_0_2667_1,axiom,
( hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2667]) ).
cnf(c_0_2668_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2668_1,axiom,
( hAPP(X2,X5) != hAPP(c_Option_Ooption_OSome(X4),X6)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(c_Option_Ooption_OSome(X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2669_0,axiom,
( X1 = X3
| c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Olist_OCons(X3,X4,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2669]) ).
cnf(c_0_2669_1,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| X1 = X3
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Olist_OCons(X3,X4,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2669]) ).
cnf(c_0_2669_2,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Olist_OCons(X3,X4,X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| X1 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2669]) ).
cnf(c_0_2670_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X4),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2670]) ).
cnf(c_0_2670_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2670]) ).
cnf(c_0_2671_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_ONone(X4)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != c_Option_Ooption_ONone(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2671]) ).
cnf(c_0_2671_1,axiom,
( hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_ONone(X4)
| hAPP(X1,X5) != c_Option_Ooption_ONone(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2671]) ).
cnf(c_0_2671_2,axiom,
( hAPP(X1,X5) != c_Option_Ooption_ONone(X4)
| hAPP(X2,X5) != c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_ONone(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2671]) ).
cnf(c_0_2672_0,axiom,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2672]) ).
cnf(c_0_2672_1,axiom,
( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2672]) ).
cnf(c_0_2673_0,axiom,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2673_1,axiom,
( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2674_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2674_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_lessequals(X4,X5,X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2674_2,axiom,
( ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_lessequals(X4,X5,X3)
| ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2674_3,axiom,
( ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_lessequals(X4,X5,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2674_4,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_in(X5,hAPP(c_List_Oset(X3),X2),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X1),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2678_0,axiom,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2678]) ).
cnf(c_0_2678_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_OtakeWhile(X3,X4,X2)),X2)
| hBOOL(hAPP(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2678]) ).
cnf(c_0_2719_0,axiom,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3)
| c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2720_0,axiom,
( c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3)
| c_DefAss_O_092_060D_062(X2,c_DefAss_OhyperUn(X4,c_DefAss_O_092_060A_062(X1,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2722_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X4,X5),X5),X5) = c_List_OtakeWhile(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2722]) ).
cnf(c_0_2722_1,axiom,
( c_List_OtakeWhile(X1,c_List_Oappend(X3,c_List_Olist_OCons(X2,X4,X5),X5),X5) = c_List_OtakeWhile(X1,X3,X5)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2722]) ).
cnf(c_0_2723_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2723_1,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2723_2,axiom,
( ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2724_0,axiom,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2724_1,axiom,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2724_2,axiom,
( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2725_0,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_1,axiom,
( ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2726_0,axiom,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_1,axiom,
( hBOOL(hAPP(X2,X4))
| X1 = X4
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_2,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| hBOOL(hAPP(X2,X4))
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2727_0,axiom,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2727_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2758_0,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Omap(X3,X1,X2,X4) != c_Option_Ooption_ONone(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2758_1,axiom,
( c_Option_Omap(X3,X1,X2,X4) != c_Option_Ooption_ONone(X4)
| X1 = c_Option_Ooption_ONone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2759_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2759_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_lessequals(X1,X4,X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X2),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2759_2,axiom,
( ~ c_in(X4,hAPP(c_List_Oset(X3),X2),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2759_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_in(X4,hAPP(c_List_Oset(X3),X2),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2760_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2760_1,axiom,
( ~ c_in(X1,X2,X3)
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2760_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2761_0,axiom,
( hBOOL(hAPP(X4,X1))
| c_List_OtakeWhile(X4,c_List_Oappend(X3,X5,X2),X2) = c_List_OtakeWhile(X4,X3,X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2761_1,axiom,
( c_List_OtakeWhile(X4,c_List_Oappend(X3,X5,X2),X2) = c_List_OtakeWhile(X4,X3,X2)
| hBOOL(hAPP(X4,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2761_2,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_OtakeWhile(X4,c_List_Oappend(X3,X5,X2),X2) = c_List_OtakeWhile(X4,X3,X2)
| hBOOL(hAPP(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2763_0,axiom,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2763]) ).
cnf(c_0_2763_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2763]) ).
cnf(c_0_2764_0,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2764_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2766_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2766]) ).
cnf(c_0_2766_1,axiom,
( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2766]) ).
cnf(c_0_2766_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2766]) ).
cnf(c_0_2767_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2767_1,axiom,
( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2767_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2770_0,axiom,
( c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X1,X4,X3),c_DefAss_OhyperUn(X2,X4,X3),X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2770]) ).
cnf(c_0_2770_1,axiom,
( ~ c_DefAss_Ohyper__subset(X1,X2,X3)
| c_DefAss_Ohyper__subset(c_DefAss_OhyperUn(X1,X4,X3),c_DefAss_OhyperUn(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2770]) ).
cnf(c_0_2771_0,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2771]) ).
cnf(c_0_2771_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2771]) ).
cnf(c_0_2773_0,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X1,hAPP(c_List_Oset(X3),X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2773]) ).
cnf(c_0_2773_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X3),X2),X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2773]) ).
cnf(c_0_2774_0,axiom,
( X1 = X2
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2774]) ).
cnf(c_0_2774_1,axiom,
( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2774]) ).
cnf(c_0_2786_0,axiom,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2786]) ).
cnf(c_0_2786_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2786]) ).
cnf(c_0_2786_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2786]) ).
cnf(c_0_2787_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2787]) ).
cnf(c_0_2787_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),c_List_Obutlast(X3,X2)),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2787]) ).
cnf(c_0_2789_0,axiom,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2789]) ).
cnf(c_0_2789_1,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2789]) ).
cnf(c_0_2789_2,axiom,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2789]) ).
cnf(c_0_2790_0,axiom,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2790]) ).
cnf(c_0_2790_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OWhile(X1,X2,X3),X4,X3)
| c_DefAss_O_092_060D_062(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2790]) ).
cnf(c_0_2791_0,axiom,
( c_DefAss_O_092_060D_062(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2791]) ).
cnf(c_0_2791_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) ),
inference(literals_permutation,[status(thm)],[c_0_2791]) ).
cnf(c_0_2792_0,axiom,
( c_DefAss_O_092_060D_062(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2792]) ).
cnf(c_0_2792_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) ),
inference(literals_permutation,[status(thm)],[c_0_2792]) ).
cnf(c_0_2793_0,axiom,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2793]) ).
cnf(c_0_2793_1,axiom,
( ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_OSeq(X1,X2,X3),X4,X3)
| c_DefAss_O_092_060D_062(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2793]) ).
cnf(c_0_2794_0,axiom,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2794]) ).
cnf(c_0_2794_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3)
| X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2794]) ).
cnf(c_0_2795_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2795]) ).
cnf(c_0_2795_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2795]) ).
cnf(c_0_2797_0,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2797]) ).
cnf(c_0_2797_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2797]) ).
cnf(c_0_2798_0,axiom,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2798_1,axiom,
( c_in(X3,X1,X4)
| X1 = X2
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2798_2,axiom,
( c_in(X3,X2,X4)
| c_in(X3,X1,X4)
| X1 = X2
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2798_3,axiom,
( c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4)
| c_in(X3,X2,X4)
| c_in(X3,X1,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2800_0,axiom,
( hBOOL(hAPP(X4,X1))
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_OtakeWhile(X4,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2800]) ).
cnf(c_0_2800_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| hBOOL(hAPP(X4,X1))
| c_List_OtakeWhile(X4,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2800]) ).
cnf(c_0_2800_2,axiom,
( c_List_OtakeWhile(X4,X3,X2) != X3
| ~ c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| hBOOL(hAPP(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2800]) ).
cnf(c_0_2801_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2801]) ).
cnf(c_0_2801_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2801]) ).
cnf(c_0_2801_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2801]) ).
cnf(c_0_2802_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2802]) ).
cnf(c_0_2802_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2802]) ).
cnf(c_0_2802_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2802]) ).
cnf(c_0_2803_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2803]) ).
cnf(c_0_2803_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2803]) ).
cnf(c_0_2803_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2803]) ).
cnf(c_0_2804_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2804_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2804_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2807_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2807]) ).
cnf(c_0_2807_1,axiom,
( c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2807]) ).
cnf(c_0_2808_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OLAss(X4,X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2808]) ).
cnf(c_0_2808_1,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) ),
inference(literals_permutation,[status(thm)],[c_0_2808]) ).
cnf(c_0_2809_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_OCast(X4,X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2809]) ).
cnf(c_0_2809_1,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) ),
inference(literals_permutation,[status(thm)],[c_0_2809]) ).
cnf(c_0_2810_0,axiom,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2810]) ).
cnf(c_0_2810_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2810]) ).
cnf(c_0_2811_0,axiom,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2811]) ).
cnf(c_0_2811_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2811]) ).
cnf(c_0_2812_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2812]) ).
cnf(c_0_2812_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2812]) ).
cnf(c_0_2812_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2812]) ).
cnf(c_0_2813_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2813]) ).
cnf(c_0_2813_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2813]) ).
cnf(c_0_2813_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2813]) ).
cnf(c_0_2815_0,axiom,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2815]) ).
cnf(c_0_2815_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2815]) ).
cnf(c_0_2815_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2815]) ).
cnf(c_0_2816_0,axiom,
( c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| c_List_Odistinct(c_List_Olist_OCons(X1,X3,X2),X2)
| ~ c_List_Odistinct(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2816]) ).
cnf(c_0_2816_1,axiom,
( c_List_Odistinct(c_List_Olist_OCons(X1,X3,X2),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2)
| ~ c_List_Odistinct(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2816]) ).
cnf(c_0_2816_2,axiom,
( ~ c_List_Odistinct(X3,X2)
| c_List_Odistinct(c_List_Olist_OCons(X1,X3,X2),X2)
| c_in(X1,hAPP(c_List_Oset(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2816]) ).
cnf(c_0_2817_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2817]) ).
cnf(c_0_2817_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2817]) ).
cnf(c_0_2817_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2817]) ).
cnf(c_0_2817_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2817]) ).
cnf(c_0_2818_0,axiom,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2818]) ).
cnf(c_0_2818_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2818]) ).
cnf(c_0_2818_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2818]) ).
cnf(c_0_2818_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2818]) ).
cnf(c_0_2819_0,axiom,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2819]) ).
cnf(c_0_2819_1,axiom,
( ~ c_in(X1,X2,tc_prod(X3,X3))
| c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2819]) ).
cnf(c_0_2820_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2820]) ).
cnf(c_0_2820_1,axiom,
( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2820]) ).
cnf(c_0_2821_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2821]) ).
cnf(c_0_2821_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| X1 = c_List_Olist_ONil(X2)
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2821]) ).
cnf(c_0_2821_2,axiom,
( c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2821]) ).
cnf(c_0_2822_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2822]) ).
cnf(c_0_2822_1,axiom,
( ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| X1 = c_List_Olist_ONil(X2)
| c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2822]) ).
cnf(c_0_2822_2,axiom,
( c_List_Oconcat(X3,X2) != c_List_Olist_ONil(X2)
| ~ c_in(X1,hAPP(c_List_Oset(tc_List_Olist(X2)),X3),tc_List_Olist(X2))
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2822]) ).
cnf(c_0_2823_0,axiom,
( c_DefAss_O_092_060D_062(X4,X2,X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2823]) ).
cnf(c_0_2823_1,axiom,
( ~ c_DefAss_Ohyper__subset(X1,X2,X3)
| c_DefAss_O_092_060D_062(X4,X2,X3)
| ~ c_DefAss_O_092_060D_062(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2823]) ).
cnf(c_0_2823_2,axiom,
( ~ c_DefAss_O_092_060D_062(X4,X1,X3)
| ~ c_DefAss_Ohyper__subset(X1,X2,X3)
| c_DefAss_O_092_060D_062(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2823]) ).
cnf(c_0_2824_0,axiom,
( c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| ~ c_DefAss_Ohyper__subset(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2824]) ).
cnf(c_0_2824_1,axiom,
( ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(X1,X4,X3)
| ~ c_DefAss_Ohyper__subset(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2824]) ).
cnf(c_0_2824_2,axiom,
( ~ c_DefAss_Ohyper__subset(X2,X4,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2824]) ).
cnf(c_0_2830_0,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2830]) ).
cnf(c_0_2830_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2830]) ).
cnf(c_0_2830_2,axiom,
( ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2830]) ).
cnf(c_0_2833_0,axiom,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2833]) ).
cnf(c_0_2833_1,axiom,
( ~ hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2833]) ).
cnf(c_0_2835_0,axiom,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2835]) ).
cnf(c_0_2835_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2835]) ).
cnf(c_0_2835_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2835]) ).
cnf(c_0_2836_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2836]) ).
cnf(c_0_2836_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2836]) ).
cnf(c_0_2836_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2836]) ).
cnf(c_0_2837_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2837]) ).
cnf(c_0_2837_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2837]) ).
cnf(c_0_2837_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2837]) ).
cnf(c_0_2839_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2839]) ).
cnf(c_0_2839_1,axiom,
( c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2839]) ).
cnf(c_0_2840_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2840]) ).
cnf(c_0_2840_1,axiom,
( c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2840]) ).
cnf(c_0_2841_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2841]) ).
cnf(c_0_2841_1,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2841]) ).
cnf(c_0_2842_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2842]) ).
cnf(c_0_2842_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2842]) ).
cnf(c_0_2843_0,axiom,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2843]) ).
cnf(c_0_2843_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2843]) ).
cnf(c_0_2844_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2844]) ).
cnf(c_0_2844_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2844]) ).
cnf(c_0_2844_2,axiom,
( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2844]) ).
cnf(c_0_2845_0,axiom,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2845]) ).
cnf(c_0_2845_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2845]) ).
cnf(c_0_2845_2,axiom,
( ~ hBOOL(hAPP(X1,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2845]) ).
cnf(c_0_2846_0,axiom,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2846]) ).
cnf(c_0_2846_1,axiom,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| hBOOL(hAPP(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2846]) ).
cnf(c_0_2847_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2847]) ).
cnf(c_0_2847_1,axiom,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2847]) ).
cnf(c_0_2851_0,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2851]) ).
cnf(c_0_2851_1,axiom,
( c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2851]) ).
cnf(c_0_2852_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2852_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2852_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2852_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2853_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2853]) ).
cnf(c_0_2853_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2853]) ).
cnf(c_0_2853_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2853]) ).
cnf(c_0_2853_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2853]) ).
cnf(c_0_2854_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2854]) ).
cnf(c_0_2854_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2854]) ).
cnf(c_0_2854_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2854]) ).
cnf(c_0_2854_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2854]) ).
cnf(c_0_2855_0,axiom,
( c_DefAss_O_092_060D_062(X1,X3,X2)
| ~ c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2855]) ).
cnf(c_0_2855_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) ),
inference(literals_permutation,[status(thm)],[c_0_2855]) ).
cnf(c_0_2857_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2857]) ).
cnf(c_0_2857_1,axiom,
( c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2857]) ).
cnf(c_0_2858_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2858]) ).
cnf(c_0_2858_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2858]) ).
cnf(c_0_2859_0,axiom,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2859]) ).
cnf(c_0_2859_1,axiom,
( ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2859]) ).
cnf(c_0_2860_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2860]) ).
cnf(c_0_2860_1,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2860]) ).
cnf(c_0_2861_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2861]) ).
cnf(c_0_2861_1,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2861]) ).
cnf(c_0_2862_0,axiom,
( X1 = X2
| c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2862]) ).
cnf(c_0_2862_1,axiom,
( c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2862]) ).
cnf(c_0_2863_0,axiom,
( X1 = X2
| c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2863]) ).
cnf(c_0_2863_1,axiom,
( c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2863]) ).
cnf(c_0_2864_0,axiom,
( X1 = X2
| c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2864]) ).
cnf(c_0_2864_1,axiom,
( c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2864]) ).
cnf(c_0_2865_0,axiom,
( X1 = X2
| c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2865]) ).
cnf(c_0_2865_1,axiom,
( c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2865]) ).
cnf(c_0_2866_0,axiom,
( X1 = X2
| c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2866]) ).
cnf(c_0_2866_1,axiom,
( c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2866]) ).
cnf(c_0_2867_0,axiom,
( X1 = X2
| c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2867]) ).
cnf(c_0_2867_1,axiom,
( c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2867]) ).
cnf(c_0_2868_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2868]) ).
cnf(c_0_2868_1,axiom,
( c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2868]) ).
cnf(c_0_2869_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2869]) ).
cnf(c_0_2869_1,axiom,
( c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2869]) ).
cnf(c_0_2870_0,axiom,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2870]) ).
cnf(c_0_2870_1,axiom,
( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2870]) ).
cnf(c_0_2871_0,axiom,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2871]) ).
cnf(c_0_2871_1,axiom,
( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2871]) ).
cnf(c_0_2884_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2884]) ).
cnf(c_0_2884_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2884]) ).
cnf(c_0_2884_2,axiom,
( ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2884]) ).
cnf(c_0_2890_0,axiom,
( c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X3),X2,X3)
| ~ c_DefAss_O_092_060D_062(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2890]) ).
cnf(c_0_2890_1,axiom,
( ~ c_DefAss_O_092_060D_062(X1,X2,X3)
| c_DefAss_O_092_060D_062(c_Expr_Oexp_Othrow(X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2890]) ).
cnf(c_0_2891_0,axiom,
( X1 = X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_2,axiom,
( ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_3,axiom,
( ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ c_List_Odistinct(X2,X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_4,axiom,
( ~ c_List_Odistinct(X2,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_5,axiom,
( hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ c_List_Odistinct(X2,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_6,axiom,
( ~ class_Orderings_Olinorder(X3)
| hAPP(c_List_Oset(X3),X1) != hAPP(c_List_Oset(X3),X2)
| ~ c_List_Odistinct(X2,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2897_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2897]) ).
cnf(c_0_2897_1,axiom,
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2897]) ).
cnf(c_0_2898_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| X1 = c_Suc(X2)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2898]) ).
cnf(c_0_2898_1,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2898]) ).
cnf(c_0_2898_2,axiom,
( ~ c_lessequals(X1,c_Suc(X2),tc_nat)
| X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2898]) ).
cnf(c_0_2899_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2899]) ).
cnf(c_0_2899_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2899]) ).
cnf(c_0_2899_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2899]) ).
cnf(c_0_2900_0,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2900]) ).
cnf(c_0_2900_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2900]) ).
cnf(c_0_2903_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2903]) ).
cnf(c_0_2903_1,axiom,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2903]) ).
cnf(c_0_2904_0,axiom,
( c_List_Odistinct(c_List_OtakeWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2904]) ).
cnf(c_0_2904_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_OtakeWhile(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2904]) ).
cnf(c_0_2905_0,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2905]) ).
cnf(c_0_2905_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,c_Suc(X2),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2905]) ).
cnf(c_0_2906_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2906]) ).
cnf(c_0_2906_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2906]) ).
cnf(c_0_2907_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2907]) ).
cnf(c_0_2907_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2907]) ).
cnf(c_0_2908_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2908]) ).
cnf(c_0_2908_1,axiom,
( c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2908]) ).
cnf(c_0_2909_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2909]) ).
cnf(c_0_2909_1,axiom,
( c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2909]) ).
cnf(c_0_2917_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_in(c_List_Olast(X1,X2),hAPP(c_List_Oset(X2),X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2917]) ).
cnf(c_0_2917_1,axiom,
( c_in(c_List_Olast(X1,X2),hAPP(c_List_Oset(X2),X1),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2917]) ).
cnf(c_0_2918_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2918]) ).
cnf(c_0_2918_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2918]) ).
cnf(c_0_2918_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2918]) ).
cnf(c_0_2919_0,axiom,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2919]) ).
cnf(c_0_2919_1,axiom,
( ~ c_in(X1,X2,X3)
| hBOOL(hAPP(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2919]) ).
cnf(c_0_2920_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Suc(X2),X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2920]) ).
cnf(c_0_2920_1,axiom,
( c_lessequals(c_Suc(X2),X1,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2920]) ).
cnf(c_0_2945_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2945]) ).
cnf(c_0_2945_1,axiom,
( c_lessequals(X2,X1,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2945]) ).
cnf(c_0_2946_0,axiom,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2946]) ).
cnf(c_0_2946_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2946]) ).
cnf(c_0_2947_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2947]) ).
cnf(c_0_2947_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2947]) ).
cnf(c_0_2948_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2948]) ).
cnf(c_0_2948_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2948]) ).
cnf(c_0_2949_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2949]) ).
cnf(c_0_2949_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2949]) ).
cnf(c_0_2950_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2950]) ).
cnf(c_0_2950_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2950]) ).
cnf(c_0_2952_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2952]) ).
cnf(c_0_2952_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2952]) ).
cnf(c_0_2953_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2953]) ).
cnf(c_0_2953_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2953]) ).
cnf(c_0_2954_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2954]) ).
cnf(c_0_2954_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2954]) ).
cnf(c_0_2955_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2955]) ).
cnf(c_0_2955_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2955]) ).
cnf(c_0_2956_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2956]) ).
cnf(c_0_2956_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2956]) ).
cnf(c_0_2960_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2960_1,axiom,
( ~ c_fequal(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2966_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_List_Oset(X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_2966]) ).
cnf(c_0_2966_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_List_Oset(X2),X1)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2966]) ).
cnf(c_0_2967_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Oset(X2),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2967_1,axiom,
( hAPP(c_List_Oset(X2),X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2968_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2968]) ).
cnf(c_0_2968_1,axiom,
( ~ c_List_Odistinct(c_List_Orev(X1,X2),X2)
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2968]) ).
cnf(c_0_2973_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2973]) ).
cnf(c_0_2973_1,axiom,
( ~ class_Orderings_Obot(X1)
| c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2973]) ).
cnf(c_0_2976_0,axiom,
( X1 = X2
| hAPP(c_Option_Ooption_OSome(X3),X1) != hAPP(c_Option_Ooption_OSome(X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2976]) ).
cnf(c_0_2976_1,axiom,
( hAPP(c_Option_Ooption_OSome(X3),X1) != hAPP(c_Option_Ooption_OSome(X3),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2976]) ).
cnf(c_0_2979_0,axiom,
( c_List_Odistinct(c_List_Orev(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2979]) ).
cnf(c_0_2979_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2979]) ).
cnf(c_0_2980_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2980]) ).
cnf(c_0_2980_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2980]) ).
cnf(c_0_2981_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2981]) ).
cnf(c_0_2981_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2981]) ).
cnf(c_0_2997_0,axiom,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2997]) ).
cnf(c_0_2997_1,axiom,
( c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2997]) ).
cnf(c_0_2998_0,axiom,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2998]) ).
cnf(c_0_2998_1,axiom,
( c_List_Orev(X1,X3) != c_List_Orev(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2998]) ).
cnf(c_0_2999_0,axiom,
( X1 = X2
| c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2999]) ).
cnf(c_0_2999_1,axiom,
( c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2999]) ).
cnf(c_0_3000_0,axiom,
( X1 = X2
| c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_1,axiom,
( c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3007_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_3007]) ).
cnf(c_0_3007_1,axiom,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3007]) ).
cnf(c_0_3016_0,axiom,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3016]) ).
cnf(c_0_3016_1,axiom,
( ~ class_HOL_Oord(X1)
| class_HOL_Oord(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3016]) ).
cnf(c_0_3017_0,axiom,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3017]) ).
cnf(c_0_3017_1,axiom,
( ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3017]) ).
cnf(c_0_3018_0,axiom,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3018]) ).
cnf(c_0_3018_1,axiom,
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3018]) ).
cnf(c_0_3019_0,axiom,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3019]) ).
cnf(c_0_3019_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3019]) ).
cnf(c_0_3020_0,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3020]) ).
cnf(c_0_3020_1,axiom,
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3020]) ).
cnf(c_0_3022_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3022]) ).
cnf(c_0_3022_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3022]) ).
cnf(c_0_3023_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3023]) ).
cnf(c_0_3023_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3023]) ).
cnf(c_0_3025_0,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| ~ c_Option_Ois__none(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3025]) ).
cnf(c_0_3025_1,axiom,
( ~ c_Option_Ois__none(X1,X2)
| X1 = c_Option_Ooption_ONone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3025]) ).
cnf(c_0_3026_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3026]) ).
cnf(c_0_3026_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3026]) ).
cnf(c_0_3032_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3032]) ).
cnf(c_0_3032_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3032]) ).
cnf(c_0_3033_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3033]) ).
cnf(c_0_3033_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3033]) ).
cnf(c_0_2489_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OTryCatch(X6,X7,X8,X9,X5),
inference(literals_permutation,[status(thm)],[c_0_2489]) ).
cnf(c_0_2490_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAss(X6,X7,X8,X9,X5),
inference(literals_permutation,[status(thm)],[c_0_2490]) ).
cnf(c_0_2510_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2510]) ).
cnf(c_0_2511_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2511]) ).
cnf(c_0_2512_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2512]) ).
cnf(c_0_2513_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2513]) ).
cnf(c_0_2514_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2514]) ).
cnf(c_0_2515_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2515]) ).
cnf(c_0_2516_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2516]) ).
cnf(c_0_2517_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCond(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2517]) ).
cnf(c_0_2518_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBlock(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2518]) ).
cnf(c_0_2519_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2519]) ).
cnf(c_0_2520_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2520]) ).
cnf(c_0_2521_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBinOp(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2521]) ).
cnf(c_0_2522_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OBlock(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2522]) ).
cnf(c_0_2523_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2523]) ).
cnf(c_0_2524_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2524]) ).
cnf(c_0_2525_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OTryCatch(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2526_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2527_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAss(X5,X6,X7,X8,X4),
inference(literals_permutation,[status(thm)],[c_0_2527]) ).
cnf(c_0_2528_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCall(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2528]) ).
cnf(c_0_2529_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OFAcc(X6,X7,X8,X5),
inference(literals_permutation,[status(thm)],[c_0_2529]) ).
cnf(c_0_2530_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2530]) ).
cnf(c_0_2531_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2532_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2532]) ).
cnf(c_0_2533_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2533]) ).
cnf(c_0_2534_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2534]) ).
cnf(c_0_2535_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2536_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2536]) ).
cnf(c_0_2537_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2537]) ).
cnf(c_0_2538_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2538]) ).
cnf(c_0_2539_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2539]) ).
cnf(c_0_2540_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OSeq(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2540]) ).
cnf(c_0_2541_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OLAss(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2541]) ).
cnf(c_0_2542_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OWhile(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2543_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2543]) ).
cnf(c_0_2544_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OCast(X6,X7,X5),
inference(literals_permutation,[status(thm)],[c_0_2544]) ).
cnf(c_0_2545_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAss(X4,X5,X6,X7,X3),
inference(literals_permutation,[status(thm)],[c_0_2545]) ).
cnf(c_0_2549_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
inference(literals_permutation,[status(thm)],[c_0_2549]) ).
cnf(c_0_2550_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
inference(literals_permutation,[status(thm)],[c_0_2550]) ).
cnf(c_0_2551_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
inference(literals_permutation,[status(thm)],[c_0_2551]) ).
cnf(c_0_2552_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2553_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Othrow(X6,X5),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2554_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2555_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_Onew(X6,X5),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2556_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2557_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAss(X3,X4,X5,X6,X2),
inference(literals_permutation,[status(thm)],[c_0_2557]) ).
cnf(c_0_2558_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,X2),
inference(literals_permutation,[status(thm)],[c_0_2558]) ).
cnf(c_0_2559_0,axiom,
c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5) != c_Expr_Oexp_OVal(X6,X5),
inference(literals_permutation,[status(thm)],[c_0_2559]) ).
cnf(c_0_2560_0,axiom,
c_Expr_Oexp_OTryCatch(X1,X2,X3,X4,X5) != c_Expr_Oexp_Onew(X6,X5),
inference(literals_permutation,[status(thm)],[c_0_2560]) ).
cnf(c_0_2623_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2624_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2625_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2626_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2627_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2627]) ).
cnf(c_0_2628_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2628]) ).
cnf(c_0_2629_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2629]) ).
cnf(c_0_2630_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2630]) ).
cnf(c_0_2631_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2632_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2633_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2634_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2635_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2636_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OBinOp(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2637_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2637]) ).
cnf(c_0_2638_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2638]) ).
cnf(c_0_2639_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCond(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2639]) ).
cnf(c_0_2640_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OBlock(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2641_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2642_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OFAcc(X5,X6,X7,X4),
inference(literals_permutation,[status(thm)],[c_0_2642]) ).
cnf(c_0_2675_0,axiom,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2675]) ).
cnf(c_0_2679_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2680_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2680]) ).
cnf(c_0_2681_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2681]) ).
cnf(c_0_2682_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2682]) ).
cnf(c_0_2683_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2683]) ).
cnf(c_0_2684_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2684]) ).
cnf(c_0_2685_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2685]) ).
cnf(c_0_2686_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2686]) ).
cnf(c_0_2687_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2687]) ).
cnf(c_0_2688_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2688]) ).
cnf(c_0_2689_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2689]) ).
cnf(c_0_2690_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2690]) ).
cnf(c_0_2691_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2691]) ).
cnf(c_0_2692_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2692]) ).
cnf(c_0_2693_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2693]) ).
cnf(c_0_2694_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2694]) ).
cnf(c_0_2695_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2695]) ).
cnf(c_0_2696_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2696]) ).
cnf(c_0_2697_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2697]) ).
cnf(c_0_2698_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2698]) ).
cnf(c_0_2699_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2699]) ).
cnf(c_0_2700_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2700]) ).
cnf(c_0_2701_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2701]) ).
cnf(c_0_2702_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2702]) ).
cnf(c_0_2703_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OFAcc(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2703]) ).
cnf(c_0_2704_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCall(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2704]) ).
cnf(c_0_2705_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2705]) ).
cnf(c_0_2706_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2706]) ).
cnf(c_0_2707_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBlock(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2707]) ).
cnf(c_0_2708_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2708]) ).
cnf(c_0_2709_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2710_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2710]) ).
cnf(c_0_2711_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2711]) ).
cnf(c_0_2712_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OBinOp(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2712]) ).
cnf(c_0_2713_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OSeq(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2713]) ).
cnf(c_0_2714_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2714]) ).
cnf(c_0_2715_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OLAss(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2715]) ).
cnf(c_0_2716_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCond(X4,X5,X6,X3),
inference(literals_permutation,[status(thm)],[c_0_2716]) ).
cnf(c_0_2717_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OCast(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2717]) ).
cnf(c_0_2718_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OWhile(X5,X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2718]) ).
cnf(c_0_2728_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2728]) ).
cnf(c_0_2729_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2729]) ).
cnf(c_0_2730_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2730]) ).
cnf(c_0_2731_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2731]) ).
cnf(c_0_2732_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2732]) ).
cnf(c_0_2733_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2733]) ).
cnf(c_0_2734_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2734]) ).
cnf(c_0_2735_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2735]) ).
cnf(c_0_2736_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2736]) ).
cnf(c_0_2737_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2737]) ).
cnf(c_0_2738_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2738]) ).
cnf(c_0_2739_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2739]) ).
cnf(c_0_2740_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2740]) ).
cnf(c_0_2741_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2741]) ).
cnf(c_0_2742_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2742]) ).
cnf(c_0_2743_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OFAcc(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2743]) ).
cnf(c_0_2744_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2744]) ).
cnf(c_0_2745_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OBinOp(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2745]) ).
cnf(c_0_2746_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2746]) ).
cnf(c_0_2747_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_Onew(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2747]) ).
cnf(c_0_2748_0,axiom,
c_Expr_Oexp_OFAcc(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2748]) ).
cnf(c_0_2749_0,axiom,
c_Expr_Oexp_OBlock(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2749]) ).
cnf(c_0_2750_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2750]) ).
cnf(c_0_2751_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OBlock(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2751]) ).
cnf(c_0_2752_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2752]) ).
cnf(c_0_2753_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2753]) ).
cnf(c_0_2754_0,axiom,
c_Expr_Oexp_OCond(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2754]) ).
cnf(c_0_2755_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCond(X3,X4,X5,X2),
inference(literals_permutation,[status(thm)],[c_0_2755]) ).
cnf(c_0_2756_0,axiom,
c_Expr_Oexp_OBinOp(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2756]) ).
cnf(c_0_2757_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_Othrow(X5,X4),
inference(literals_permutation,[status(thm)],[c_0_2757]) ).
cnf(c_0_2838_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(literals_permutation,[status(thm)],[c_0_2838]) ).
cnf(c_0_2872_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2872]) ).
cnf(c_0_2873_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2873]) ).
cnf(c_0_2874_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2874]) ).
cnf(c_0_2875_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2875]) ).
cnf(c_0_2876_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2876]) ).
cnf(c_0_2877_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2877]) ).
cnf(c_0_2878_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OLAss(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2878]) ).
cnf(c_0_2879_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2879]) ).
cnf(c_0_2880_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2880]) ).
cnf(c_0_2881_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OSeq(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2881]) ).
cnf(c_0_2882_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OWhile(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2882]) ).
cnf(c_0_2883_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OCast(X4,X5,X3),
inference(literals_permutation,[status(thm)],[c_0_2883]) ).
cnf(c_0_2887_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(literals_permutation,[status(thm)],[c_0_2887]) ).
cnf(c_0_2888_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(literals_permutation,[status(thm)],[c_0_2888]) ).
cnf(c_0_2889_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(literals_permutation,[status(thm)],[c_0_2889]) ).
cnf(c_0_2915_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
inference(literals_permutation,[status(thm)],[c_0_2915]) ).
cnf(c_0_2916_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2916]) ).
cnf(c_0_2921_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2921]) ).
cnf(c_0_2922_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2922]) ).
cnf(c_0_2923_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2923]) ).
cnf(c_0_2924_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2924]) ).
cnf(c_0_2925_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2925]) ).
cnf(c_0_2926_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2926]) ).
cnf(c_0_2927_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2927]) ).
cnf(c_0_2928_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2928]) ).
cnf(c_0_2929_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2929]) ).
cnf(c_0_2930_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2930]) ).
cnf(c_0_2931_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2931]) ).
cnf(c_0_2932_0,axiom,
c_Expr_Oexp_OSeq(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2932]) ).
cnf(c_0_2933_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2933]) ).
cnf(c_0_2934_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OWhile(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2934]) ).
cnf(c_0_2935_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2935]) ).
cnf(c_0_2936_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2936]) ).
cnf(c_0_2937_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2937]) ).
cnf(c_0_2938_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_OVal(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2938]) ).
cnf(c_0_2939_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OCast(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2939]) ).
cnf(c_0_2940_0,axiom,
c_Expr_Oexp_OWhile(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2940]) ).
cnf(c_0_2941_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OLAss(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2941]) ).
cnf(c_0_2942_0,axiom,
c_Expr_Oexp_OLAss(X1,X2,X3) != c_Expr_Oexp_Othrow(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2942]) ).
cnf(c_0_2943_0,axiom,
c_Expr_Oexp_OCast(X1,X2,X3) != c_Expr_Oexp_Onew(X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2943]) ).
cnf(c_0_2944_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OSeq(X3,X4,X2),
inference(literals_permutation,[status(thm)],[c_0_2944]) ).
cnf(c_0_2951_0,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2951]) ).
cnf(c_0_2957_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_2957]) ).
cnf(c_0_2958_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_2958]) ).
cnf(c_0_2959_0,axiom,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2959]) ).
cnf(c_0_2961_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != X1,
inference(literals_permutation,[status(thm)],[c_0_2961]) ).
cnf(c_0_2962_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(literals_permutation,[status(thm)],[c_0_2962]) ).
cnf(c_0_2963_0,axiom,
~ c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(X1),X2),X1),
inference(literals_permutation,[status(thm)],[c_0_2963]) ).
cnf(c_0_3001_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_Onew(X3,X2),
inference(literals_permutation,[status(thm)],[c_0_3001]) ).
cnf(c_0_3002_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
inference(literals_permutation,[status(thm)],[c_0_3002]) ).
cnf(c_0_3003_0,axiom,
c_Expr_Oexp_Othrow(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
inference(literals_permutation,[status(thm)],[c_0_3003]) ).
cnf(c_0_3004_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_Othrow(X3,X2),
inference(literals_permutation,[status(thm)],[c_0_3004]) ).
cnf(c_0_3005_0,axiom,
c_Expr_Oexp_Onew(X1,X2) != c_Expr_Oexp_OVal(X3,X2),
inference(literals_permutation,[status(thm)],[c_0_3005]) ).
cnf(c_0_3006_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_Onew(X3,X2),
inference(literals_permutation,[status(thm)],[c_0_3006]) ).
cnf(c_0_3012_0,axiom,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
inference(literals_permutation,[status(thm)],[c_0_3012]) ).
cnf(c_0_3013_0,axiom,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
inference(literals_permutation,[status(thm)],[c_0_3013]) ).
cnf(c_0_3014_0,axiom,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
inference(literals_permutation,[status(thm)],[c_0_3014]) ).
cnf(c_0_3015_0,axiom,
hAPP(c_Option_Ooption_OSome(X1),X2) != c_Option_Ooption_ONone(X1),
inference(literals_permutation,[status(thm)],[c_0_3015]) ).
cnf(c_0_3034_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3034]) ).
cnf(c_0_3035_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3035]) ).
cnf(c_0_3036_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3036]) ).
cnf(c_0_3037_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3037]) ).
cnf(c_0_3038_0,axiom,
c_Suc(X1) != X1,
inference(literals_permutation,[status(thm)],[c_0_3038]) ).
cnf(c_0_3039_0,axiom,
c_Suc(X1) != X1,
inference(literals_permutation,[status(thm)],[c_0_3039]) ).
cnf(c_0_2448_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X1,X2,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),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_OVal(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)))))),
inference(literals_permutation,[status(thm)],[c_0_2448]) ).
cnf(c_0_2449_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X1,X2,c_Expr_Oexp_OVal(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_OVal(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)))))),
inference(literals_permutation,[status(thm)],[c_0_2449]) ).
cnf(c_0_2450_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)))))),
inference(literals_permutation,[status(thm)],[c_0_2450]) ).
cnf(c_0_2451_0,axiom,
c_Expr_Oexp_OBlock(X1,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X1,c_Expr_Oexp_OVal(X5,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_SmallStep_Oblocks(c_Pair(X2,c_Pair(X4,c_Pair(X6,X7,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) = c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(X1,X2,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(X3,X4,tc_Type_Oty),c_Pair(c_List_Olist_OCons(X5,X6,tc_Value_Oval),X7,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),
inference(literals_permutation,[status(thm)],[c_0_2451]) ).
cnf(c_0_2452_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ooverride__on(X1,c_Fun_Ofun__upd(X2,X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),X7,X6,tc_Option_Ooption(X4)),X3,hAPP(X2,X3),X6,tc_Option_Ooption(X4)) = c_Fun_Ooverride__on(X1,X2,c_Set_Oinsert(X3,X7,X6),X6,tc_Option_Ooption(X4)),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2465_0,axiom,
c_Map_Omap__upds(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X7),X5),X4,tc_Option_Ooption(X7)),X3,X6,X4,X7) = c_Map_Omap__upds(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2466_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2466]) ).
cnf(c_0_2468_0,axiom,
c_Fun_Ofun__upd(c_Map_Omap__add(X1,X2,X6,X4),X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)) = c_Map_Omap__add(X1,c_Fun_Ofun__upd(X2,X3,hAPP(c_Option_Ooption_OSome(X4),X5),X6,tc_Option_Ooption(X4)),X6,X4),
inference(literals_permutation,[status(thm)],[c_0_2468]) ).
cnf(c_0_2469_0,axiom,
c_Map_Omap__upds(c_Map_Omap__add(X1,X2,X5,X6),X3,X4,X5,X6) = c_Map_Omap__add(X1,c_Map_Omap__upds(X2,X3,X4,X5,X6),X5,X6),
inference(literals_permutation,[status(thm)],[c_0_2469]) ).
cnf(c_0_2470_0,axiom,
c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_ONil(tc_Value_Oval),X1,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))) = X1,
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2496_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,tc_Option_Ooption(X3)),X2) = hAPP(c_Option_Ooption_OSome(X3),X4),
inference(literals_permutation,[status(thm)],[c_0_2496]) ).
cnf(c_0_2498_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAss(X1,X2,X3,X4,X5),X5) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X5),c_DefAss_O_092_060A_062(X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_2498]) ).
cnf(c_0_2508_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2509_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2546_0,axiom,
c_DefAss_OhyperUn(X1,c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X4,X2),X2) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),c_DefAss_OhyperUn(X1,X4,X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2546]) ).
cnf(c_0_2564_0,axiom,
c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5) = c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2564]) ).
cnf(c_0_2570_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),
inference(literals_permutation,[status(thm)],[c_0_2570]) ).
cnf(c_0_2571_0,axiom,
c_Fun_Ooverride__on(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_2571]) ).
cnf(c_0_2572_0,axiom,
c_Option_Ooption_Ooption__case(X1,X2,hAPP(c_Option_Ooption_OSome(X3),X4),X5,X3) = hAPP(X2,X4),
inference(literals_permutation,[status(thm)],[c_0_2572]) ).
cnf(c_0_2574_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2575_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2576_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2577_0,axiom,
c_DefAss_OhyperUn(X1,hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2578_0,axiom,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2579_0,axiom,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2580_0,axiom,
c_Option_Ooption_Ooption__case(X1,X2,c_Option_Ooption_ONone(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2603_0,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
inference(literals_permutation,[status(thm)],[c_0_2603]) ).
cnf(c_0_2644_0,axiom,
c_DefAss_OhyperUn(hAPP(c_Option_Ooption_OSome(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),c_DefAss_O_092_060A_062(X2,X3),X3) = c_DefAss_O_092_060A_062(c_Expr_Oexp_OLAss(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2644]) ).
cnf(c_0_2645_0,axiom,
c_in(X1,hAPP(c_List_Oset(X2),c_List_Oappend(X3,c_List_Olist_OCons(X1,X4,X2),X2)),X2),
inference(literals_permutation,[status(thm)],[c_0_2645]) ).
cnf(c_0_2650_0,axiom,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2650]) ).
cnf(c_0_2653_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OBinOp(X1,X2,X3,X4),X4) = c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X4),c_DefAss_O_092_060A_062(X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2653]) ).
cnf(c_0_2659_0,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(literals_permutation,[status(thm)],[c_0_2659]) ).
cnf(c_0_2660_0,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(literals_permutation,[status(thm)],[c_0_2660]) ).
cnf(c_0_2676_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2676]) ).
cnf(c_0_2677_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OFAcc(X1,X2,X3,X4),X4) = c_DefAss_O_092_060A_062(X1,X4),
inference(literals_permutation,[status(thm)],[c_0_2677]) ).
cnf(c_0_2721_0,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2762_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_List_Oset(tc_List_Olist(X1)),X2),c_List_Oset(X1),tc_List_Olist(X1),tc_fun(X1,tc_bool)) = hAPP(c_List_Oset(X1),c_List_Oconcat(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_2762]) ).
cnf(c_0_2765_0,axiom,
c_lessequals(hAPP(c_List_Oset(X1),X2),hAPP(c_List_Oset(X1),c_List_Olist_OCons(X3,X2,X1)),tc_fun(X1,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2765]) ).
cnf(c_0_2768_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_2768]) ).
cnf(c_0_2769_0,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_2769]) ).
cnf(c_0_2772_0,axiom,
c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2772]) ).
cnf(c_0_2775_0,axiom,
c_Option_Omap(X1,hAPP(c_Option_Ooption_OSome(X2),X3),X2,X4) = hAPP(c_Option_Ooption_OSome(X4),hAPP(X1,X3)),
inference(literals_permutation,[status(thm)],[c_0_2775]) ).
cnf(c_0_2776_0,axiom,
c_DefAss_OhyperUn(c_DefAss_OhyperUn(X1,X2,X3),X4,X3) = c_DefAss_OhyperUn(X1,c_DefAss_OhyperUn(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2776]) ).
cnf(c_0_2777_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2777]) ).
cnf(c_0_2778_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2778]) ).
cnf(c_0_2779_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2779]) ).
cnf(c_0_2780_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2780]) ).
cnf(c_0_2781_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2781]) ).
cnf(c_0_2782_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2782]) ).
cnf(c_0_2783_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2783]) ).
cnf(c_0_2784_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2784]) ).
cnf(c_0_2785_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2785]) ).
cnf(c_0_2788_0,axiom,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2788]) ).
cnf(c_0_2796_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2796]) ).
cnf(c_0_2799_0,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2799]) ).
cnf(c_0_2805_0,axiom,
c_Fun_Oinj__on(c_Option_Ooption_OSome(X1),X2,X1,tc_Option_Ooption(X1)),
inference(literals_permutation,[status(thm)],[c_0_2805]) ).
cnf(c_0_2806_0,axiom,
c_Option_Omap(X1,c_Option_Ooption_ONone(X2),X2,X3) = c_Option_Ooption_ONone(X3),
inference(literals_permutation,[status(thm)],[c_0_2806]) ).
cnf(c_0_2814_0,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(literals_permutation,[status(thm)],[c_0_2814]) ).
cnf(c_0_2825_0,axiom,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3) = c_List_Orev(c_List_Oappend(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2825]) ).
cnf(c_0_2826_0,axiom,
c_DefAss_OhyperUn(c_DefAss_O_092_060A_062(X1,X3),c_DefAss_O_092_060A_062(X2,X3),X3) = c_DefAss_O_092_060A_062(c_Expr_Oexp_OSeq(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2826]) ).
cnf(c_0_2827_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2827]) ).
cnf(c_0_2828_0,axiom,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2828]) ).
cnf(c_0_2829_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(literals_permutation,[status(thm)],[c_0_2829]) ).
cnf(c_0_2831_0,axiom,
c_Set_Oinsert(X2,hAPP(c_List_Oset(X1),X3),X1) = hAPP(c_List_Oset(X1),c_List_Olist_OCons(X2,X3,X1)),
inference(literals_permutation,[status(thm)],[c_0_2831]) ).
cnf(c_0_2832_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2832]) ).
cnf(c_0_2834_0,axiom,
c_List_Oconcat(c_List_Olist_OCons(X1,X2,tc_List_Olist(X3)),X3) = c_List_Oappend(X1,c_List_Oconcat(X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2834]) ).
cnf(c_0_2848_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2848]) ).
cnf(c_0_2849_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2849]) ).
cnf(c_0_2850_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2850]) ).
cnf(c_0_2856_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2856]) ).
cnf(c_0_2885_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)) = c_Suc(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))),
inference(literals_permutation,[status(thm)],[c_0_2885]) ).
cnf(c_0_2886_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)) = c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))),
inference(literals_permutation,[status(thm)],[c_0_2886]) ).
cnf(c_0_2892_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2892]) ).
cnf(c_0_2893_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2893]) ).
cnf(c_0_2894_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2894]) ).
cnf(c_0_2895_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_Onew(X1,X2),X2) = hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
inference(literals_permutation,[status(thm)],[c_0_2895]) ).
cnf(c_0_2896_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OVal(X1,X2),X2) = hAPP(c_Option_Ooption_OSome(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
inference(literals_permutation,[status(thm)],[c_0_2896]) ).
cnf(c_0_2901_0,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2901]) ).
cnf(c_0_2902_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2902]) ).
cnf(c_0_2910_0,axiom,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2910]) ).
cnf(c_0_2911_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OCast(X1,X2,X3),X3) = c_DefAss_O_092_060A_062(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2911]) ).
cnf(c_0_2912_0,axiom,
c_DefAss_O_092_060A_062(c_Expr_Oexp_OWhile(X1,X2,X3),X3) = c_DefAss_O_092_060A_062(X1,X3),
inference(literals_permutation,[status(thm)],[c_0_2912]) ).
cnf(c_0_2913_0,axiom,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2913]) ).
cnf(c_0_2914_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2914]) ).
cnf(c_0_2964_0,axiom,
c_DefAss_O_092_060D_062(c_Expr_Oexp_Onew(X1,X2),X3,X2),
inference(literals_permutation,[status(thm)],[c_0_2964]) ).
cnf(c_0_2965_0,axiom,
c_DefAss_O_092_060D_062(c_Expr_Oexp_OVal(X1,X2),X3,X2),
inference(literals_permutation,[status(thm)],[c_0_2965]) ).
cnf(c_0_2969_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2969]) ).
cnf(c_0_2970_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2970]) ).
cnf(c_0_2971_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2971]) ).
cnf(c_0_2972_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2972]) ).
cnf(c_0_2974_0,axiom,
hAPP(c_List_Oset(X1),c_List_Orev(X2,X1)) = hAPP(c_List_Oset(X1),X2),
inference(literals_permutation,[status(thm)],[c_0_2974]) ).
cnf(c_0_2975_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(literals_permutation,[status(thm)],[c_0_2975]) ).
cnf(c_0_2977_0,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2977]) ).
cnf(c_0_2978_0,axiom,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2978]) ).
cnf(c_0_2982_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2982]) ).
cnf(c_0_2983_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2983]) ).
cnf(c_0_2984_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2984]) ).
cnf(c_0_2985_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_2985]) ).
cnf(c_0_2986_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2986]) ).
cnf(c_0_2987_0,axiom,
c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_2987]) ).
cnf(c_0_2988_0,axiom,
c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2988]) ).
cnf(c_0_2989_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2989]) ).
cnf(c_0_2990_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2990]) ).
cnf(c_0_2991_0,axiom,
c_fequal(X1,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2991]) ).
cnf(c_0_2992_0,axiom,
c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2992]) ).
cnf(c_0_2993_0,axiom,
hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2993]) ).
cnf(c_0_2994_0,axiom,
hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2994]) ).
cnf(c_0_2995_0,axiom,
c_lessequals(X1,X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2995]) ).
cnf(c_0_2996_0,axiom,
c_lessequals(X1,X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2996]) ).
cnf(c_0_3008_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_3008]) ).
cnf(c_0_3009_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_3009]) ).
cnf(c_0_3010_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_3010]) ).
cnf(c_0_3011_0,axiom,
c_BigStep_Ofinal(c_Expr_Oexp_OVal(X1,X2),X2),
inference(literals_permutation,[status(thm)],[c_0_3011]) ).
cnf(c_0_3021_0,axiom,
c_List_Oconcat(c_List_Olist_ONil(tc_List_Olist(X1)),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3021]) ).
cnf(c_0_3024_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3024]) ).
cnf(c_0_3027_0,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3027]) ).
cnf(c_0_3028_0,axiom,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3028]) ).
cnf(c_0_3029_0,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3029]) ).
cnf(c_0_3030_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_3030]) ).
cnf(c_0_3031_0,axiom,
c_Option_Ois__none(c_Option_Ooption_ONone(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_3031]) ).
cnf(c_0_3040_0,axiom,
class_HOL_Oord(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_3040]) ).
cnf(c_0_3041_0,axiom,
class_Orderings_Obot(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_3041]) ).
cnf(c_0_3042_0,axiom,
class_Orderings_Oorder(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3043_0,axiom,
class_Orderings_Opreorder(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3044_0,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_3044]) ).
cnf(c_0_3045_0,axiom,
class_HOL_Oord(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3045]) ).
cnf(c_0_3046_0,axiom,
class_Orderings_Obot(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3046]) ).
cnf(c_0_3047_0,axiom,
class_Orderings_Oorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3047]) ).
cnf(c_0_3048_0,axiom,
class_Orderings_Olinorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3048]) ).
cnf(c_0_3049_0,axiom,
class_Orderings_Opreorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
( ~ c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar)) ),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_1_002,negated_conjecture,
( c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar))
| c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) ),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_2_003,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_3_004,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_4_005,negated_conjecture,
( ~ c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_5_006,negated_conjecture,
( c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar))
| c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) ),
c_0_1 ).
fof(c_0_6_007,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
c_0_2 ).
fof(c_0_7_008,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
c_0_3 ).
fof(c_0_8_009,negated_conjecture,
( ~ c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar)) ),
c_0_4 ).
fof(c_0_9_010,negated_conjecture,
( c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar))
| c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) ),
c_0_5 ).
fof(c_0_10_011,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
c_0_6 ).
fof(c_0_11_012,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
c_0_7 ).
cnf(c_0_12_013,negated_conjecture,
( ~ c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_014,negated_conjecture,
( c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar))
| c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_015,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_016,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16_017,negated_conjecture,
( ~ c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar))
| ~ c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)) ),
c_0_12,
[final] ).
cnf(c_0_17_018,negated_conjecture,
( c_DefAss_O_092_060D_062(v_al,c_DefAss_OhyperUn(v_A,hAPP(c_Option_Ooption_OSome(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),hAPP(c_List_Oset(tc_List_Olist(tc_String_Ochar)),c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar))
| c_DefAss_O_092_060D_062(c_SmallStep_Oblocks(c_Pair(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_ONil(tc_Type_Oty),c_Pair(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),v_al,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_A,tc_List_Olist(tc_String_Ochar)) ),
c_0_13,
[final] ).
cnf(c_0_18_019,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
c_0_14,
[final] ).
cnf(c_0_19_020,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
c_0_15,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_1006,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_d13145.p',c_0_18) ).
cnf(c_1498,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(copy,[status(esa)],[c_1006]) ).
cnf(c_1512,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(copy,[status(esa)],[c_1498]) ).
cnf(c_1515,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(copy,[status(esa)],[c_1512]) ).
cnf(c_1520,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(copy,[status(esa)],[c_1515]) ).
cnf(c_4456,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(copy,[status(esa)],[c_1520]) ).
cnf(c_4457,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(rewriting,[status(thm)],[c_4456]) ).
cnf(c_358,plain,
( X0 = c_List_Olist_ONil(X1)
| c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_d13145.p',c_0_3007_1) ).
cnf(c_3160,plain,
( X0 = c_List_Olist_ONil(X1)
| c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(copy,[status(esa)],[c_358]) ).
cnf(c_3161,plain,
( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X0 = c_List_Olist_ONil(X1) ),
inference(rewriting,[status(thm)],[c_3160]) ).
cnf(c_4484,plain,
c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval) = c_List_Olist_ONil(tc_Value_Oval),
inference(resolution,[status(thm)],[c_4457,c_3161]) ).
cnf(c_4485,plain,
c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval) = c_List_Olist_ONil(tc_Value_Oval),
inference(rewriting,[status(thm)],[c_4484]) ).
cnf(c_149,plain,
c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
file('/export/starexec/sandbox2/tmp/iprover_modulo_d13145.p',c_0_2959_0) ).
cnf(c_2742,plain,
c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
inference(copy,[status(esa)],[c_149]) ).
cnf(c_4543,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4485,c_2742]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV925-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 20:37:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.19/0.53 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.53 % Orientation found
% 0.19/0.53 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2162d1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d13145.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_571ade | grep -v "SZS"
% 0.19/0.55
% 0.19/0.55 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.55
% 0.19/0.55 %
% 0.19/0.55 % ------ iProver source info
% 0.19/0.55
% 0.19/0.55 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.55 % git: non_committed_changes: true
% 0.19/0.55 % git: last_make_outside_of_git: true
% 0.19/0.55
% 0.19/0.55 %
% 0.19/0.55 % ------ Input Options
% 0.19/0.55
% 0.19/0.55 % --out_options all
% 0.19/0.55 % --tptp_safe_out true
% 0.19/0.55 % --problem_path ""
% 0.19/0.55 % --include_path ""
% 0.19/0.55 % --clausifier .//eprover
% 0.19/0.55 % --clausifier_options --tstp-format
% 0.19/0.55 % --stdin false
% 0.19/0.55 % --dbg_backtrace false
% 0.19/0.55 % --dbg_dump_prop_clauses false
% 0.19/0.55 % --dbg_dump_prop_clauses_file -
% 0.19/0.55 % --dbg_out_stat false
% 0.19/0.55
% 0.19/0.55 % ------ General Options
% 0.19/0.55
% 0.19/0.55 % --fof false
% 0.19/0.55 % --time_out_real 150.
% 0.19/0.55 % --time_out_prep_mult 0.2
% 0.19/0.55 % --time_out_virtual -1.
% 0.19/0.55 % --schedule none
% 0.19/0.55 % --ground_splitting input
% 0.19/0.55 % --splitting_nvd 16
% 0.19/0.55 % --non_eq_to_eq false
% 0.19/0.55 % --prep_gs_sim true
% 0.19/0.55 % --prep_unflatten false
% 0.19/0.55 % --prep_res_sim true
% 0.19/0.55 % --prep_upred true
% 0.19/0.55 % --res_sim_input true
% 0.19/0.55 % --clause_weak_htbl true
% 0.19/0.55 % --gc_record_bc_elim false
% 0.19/0.55 % --symbol_type_check false
% 0.19/0.55 % --clausify_out false
% 0.19/0.55 % --large_theory_mode false
% 0.19/0.55 % --prep_sem_filter none
% 0.19/0.55 % --prep_sem_filter_out false
% 0.19/0.55 % --preprocessed_out false
% 0.19/0.55 % --sub_typing false
% 0.19/0.55 % --brand_transform false
% 0.19/0.55 % --pure_diseq_elim true
% 0.19/0.55 % --min_unsat_core false
% 0.19/0.55 % --pred_elim true
% 0.19/0.55 % --add_important_lit false
% 0.19/0.55 % --soft_assumptions false
% 0.19/0.55 % --reset_solvers false
% 0.19/0.55 % --bc_imp_inh []
% 0.19/0.55 % --conj_cone_tolerance 1.5
% 0.19/0.55 % --prolific_symb_bound 500
% 0.19/0.55 % --lt_threshold 2000
% 0.19/0.55
% 0.19/0.55 % ------ SAT Options
% 0.19/0.55
% 0.19/0.55 % --sat_mode false
% 0.19/0.55 % --sat_fm_restart_options ""
% 0.19/0.55 % --sat_gr_def false
% 0.19/0.55 % --sat_epr_types true
% 0.19/0.55 % --sat_non_cyclic_types false
% 0.19/0.55 % --sat_finite_models false
% 0.19/0.55 % --sat_fm_lemmas false
% 0.19/0.55 % --sat_fm_prep false
% 0.19/0.55 % --sat_fm_uc_incr true
% 0.19/0.55 % --sat_out_model small
% 0.19/0.55 % --sat_out_clauses false
% 0.19/0.55
% 0.19/0.55 % ------ QBF Options
% 0.19/0.55
% 0.19/0.55 % --qbf_mode false
% 0.19/0.55 % --qbf_elim_univ true
% 0.19/0.55 % --qbf_sk_in true
% 0.19/0.55 % --qbf_pred_elim true
% 0.19/0.55 % --qbf_split 32
% 0.19/0.55
% 0.19/0.55 % ------ BMC1 Options
% 0.19/0.55
% 0.19/0.55 % --bmc1_incremental false
% 0.19/0.55 % --bmc1_axioms reachable_all
% 0.19/0.55 % --bmc1_min_bound 0
% 0.19/0.55 % --bmc1_max_bound -1
% 0.19/0.55 % --bmc1_max_bound_default -1
% 0.19/0.55 % --bmc1_symbol_reachability true
% 0.19/0.55 % --bmc1_property_lemmas false
% 0.19/0.55 % --bmc1_k_induction false
% 0.19/0.55 % --bmc1_non_equiv_states false
% 0.19/0.55 % --bmc1_deadlock false
% 0.19/0.55 % --bmc1_ucm false
% 0.19/0.55 % --bmc1_add_unsat_core none
% 0.19/0.55 % --bmc1_unsat_core_children false
% 0.19/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.55 % --bmc1_out_stat full
% 0.19/0.55 % --bmc1_ground_init false
% 0.19/0.55 % --bmc1_pre_inst_next_state false
% 0.19/0.55 % --bmc1_pre_inst_state false
% 0.19/0.55 % --bmc1_pre_inst_reach_state false
% 0.19/0.55 % --bmc1_out_unsat_core false
% 0.19/0.55 % --bmc1_aig_witness_out false
% 0.19/0.55 % --bmc1_verbose false
% 0.19/0.55 % --bmc1_dump_clauses_tptp false
% 150.33/150.56 % --bmc1_dump_unsat_core_tptp false
% 150.33/150.56 % --bmc1_dump_file -
% 150.33/150.56 % --bmc1_ucm_expand_uc_limit 128
% 150.33/150.56 % --bmc1_ucm_n_expand_iterations 6
% 150.33/150.56 % --bmc1_ucm_extend_mode 1
% 150.33/150.56 % --bmc1_ucm_init_mode 2
% 150.33/150.56 % --bmc1_ucm_cone_mode none
% 150.33/150.56 % --bmc1_ucm_reduced_relation_type 0
% 150.33/150.56 % --bmc1_ucm_relax_model 4
% 150.33/150.56 % --bmc1_ucm_full_tr_after_sat true
% 150.33/150.56 % --bmc1_ucm_expand_neg_assumptions false
% 150.33/150.56 % --bmc1_ucm_layered_model none
% 150.33/150.56 % --bmc1_ucm_max_lemma_size 10
% 150.33/150.56
% 150.33/150.56 % ------ AIG Options
% 150.33/150.56
% 150.33/150.56 % --aig_mode false
% 150.33/150.56
% 150.33/150.56 % ------ Instantiation Options
% 150.33/150.56
% 150.33/150.56 % --instantiation_flag true
% 150.33/150.56 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.33/150.56 % --inst_solver_per_active 750
% 150.33/150.56 % --inst_solver_calls_frac 0.5
% 150.33/150.56 % --inst_passive_queue_type priority_queues
% 150.33/150.56 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.33/150.56 % --inst_passive_queues_freq [25;2]
% 150.33/150.56 % --inst_dismatching true
% 150.33/150.56 % --inst_eager_unprocessed_to_passive true
% 150.33/150.56 % --inst_prop_sim_given true
% 150.33/150.56 % --inst_prop_sim_new false
% 150.33/150.56 % --inst_orphan_elimination true
% 150.33/150.56 % --inst_learning_loop_flag true
% 150.33/150.56 % --inst_learning_start 3000
% 150.33/150.56 % --inst_learning_factor 2
% 150.33/150.56 % --inst_start_prop_sim_after_learn 3
% 150.33/150.56 % --inst_sel_renew solver
% 150.33/150.56 % --inst_lit_activity_flag true
% 150.33/150.56 % --inst_out_proof true
% 150.33/150.56
% 150.33/150.56 % ------ Resolution Options
% 150.33/150.56
% 150.33/150.56 % --resolution_flag true
% 150.33/150.56 % --res_lit_sel kbo_max
% 150.33/150.56 % --res_to_prop_solver none
% 150.33/150.56 % --res_prop_simpl_new false
% 150.33/150.56 % --res_prop_simpl_given false
% 150.33/150.56 % --res_passive_queue_type priority_queues
% 150.33/150.56 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.33/150.56 % --res_passive_queues_freq [15;5]
% 150.33/150.56 % --res_forward_subs full
% 150.33/150.56 % --res_backward_subs full
% 150.33/150.56 % --res_forward_subs_resolution true
% 150.33/150.56 % --res_backward_subs_resolution true
% 150.33/150.56 % --res_orphan_elimination false
% 150.33/150.56 % --res_time_limit 1000.
% 150.33/150.56 % --res_out_proof true
% 150.33/150.56 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2162d1.s
% 150.33/150.56 % --modulo true
% 150.33/150.56
% 150.33/150.56 % ------ Combination Options
% 150.33/150.56
% 150.33/150.56 % --comb_res_mult 1000
% 150.33/150.56 % --comb_inst_mult 300
% 150.33/150.56 % ------
% 150.33/150.56
% 150.33/150.56 % ------ Parsing...% successful
% 150.33/150.56
% 150.33/150.56 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.33/150.56
% 150.33/150.56 % ------ Proving...
% 150.33/150.56 % ------ Problem Properties
% 150.33/150.56
% 150.33/150.56 %
% 150.33/150.56 % EPR false
% 150.33/150.56 % Horn false
% 150.33/150.56 % Has equality true
% 150.33/150.56
% 150.33/150.56 % % ------ Input Options Time Limit: Unbounded
% 150.33/150.56
% 150.33/150.56
% 150.33/150.56 Compiling...
% 150.33/150.56 Loading plugin: done.
% 150.33/150.56 %
% 150.33/150.56
% 150.33/150.56
% 150.33/150.56 % Time Out Real
% 150.33/150.56
% 150.33/150.56 % ------ Statistics
% 150.33/150.56
% 150.33/150.56 % ------ General
% 150.33/150.56
% 150.33/150.56 % num_of_input_clauses: 1008
% 150.33/150.56 % num_of_input_neg_conjectures: 4
% 150.33/150.56 % num_of_splits: 0
% 150.33/150.56 % num_of_split_atoms: 0
% 150.33/150.56 % num_of_sem_filtered_clauses: 0
% 150.33/150.56 % num_of_subtypes: 0
% 150.33/150.56 % monotx_restored_types: 0
% 150.33/150.56 % sat_num_of_epr_types: 0
% 150.33/150.56 % sat_num_of_non_cyclic_types: 0
% 150.33/150.56 % sat_guarded_non_collapsed_types: 0
% 150.33/150.56 % is_epr: 0
% 150.33/150.56 % is_horn: 0
% 150.33/150.56 % has_eq: 1
% 150.33/150.56 % num_pure_diseq_elim: 0
% 150.33/150.56 % simp_replaced_by: 0
% 150.33/150.56 % res_preprocessed: 8
% 150.33/150.56 % prep_upred: 0
% 150.33/150.56 % prep_unflattend: 0
% 150.33/150.56 % pred_elim_cands: 0
% 150.33/150.56 % pred_elim: 0
% 150.33/150.56 % pred_elim_cl: 0
% 150.33/150.56 % pred_elim_cycles: 0
% 150.33/150.56 % forced_gc_time: 0
% 150.33/150.56 % gc_basic_clause_elim: 0
% 150.33/150.56 % parsing_time: 0.076
% 150.33/150.56 % sem_filter_time: 0.
% 150.33/150.56 % pred_elim_time: 0.
% 150.33/150.56 % out_proof_time: 0.
% 150.33/150.56 % monotx_time: 0.
% 150.33/150.56 % subtype_inf_time: 0.
% 150.33/150.56 % unif_index_cands_time: 0.
% 150.33/150.56 % unif_index_add_time: 0.
% 150.33/150.56 % total_time: 150.026
% 150.33/150.56 % num_of_symbols: 108
% 150.33/150.56 % num_of_terms: 5130
% 150.33/150.56
% 150.33/150.56 % ------ Propositional Solver
% 150.33/150.56
% 150.33/150.56 % prop_solver_calls: 1
% 150.33/150.56 % prop_fast_solver_calls: 18
% 150.33/150.56 % prop_num_of_clauses: 1268
% 150.33/150.56 % prop_preprocess_simplified: 2766
% 150.33/150.56 % prop_fo_subsumed: 0
% 150.33/150.56 % prop_solver_time: 0.
% 150.33/150.56 % prop_fast_solver_time: 0.
% 150.33/150.56 % prop_unsat_core_time: 0.
% 150.33/150.56
% 150.33/150.56 % ------ QBF
% 150.33/150.56
% 150.33/150.56 % qbf_q_res: 0
% 150.33/150.56 % qbf_num_tautologies: 0
% 150.33/150.56 % qbf_prep_cycles: 0
% 150.33/150.56
% 150.33/150.56 % ------ BMC1
% 150.33/150.56
% 150.33/150.56 % bmc1_current_bound: -1
% 150.33/150.56 % bmc1_last_solved_bound: -1
% 150.33/150.56 % bmc1_unsat_core_size: -1
% 150.33/150.56 % bmc1_unsat_core_parents_size: -1
% 150.33/150.56 % bmc1_merge_next_fun: 0
% 150.33/150.56 % bmc1_unsat_core_clauses_time: 0.
% 150.33/150.56
% 150.33/150.56 % ------ Instantiation
% 150.33/150.56
% 150.33/150.56 % inst_num_of_clauses: 918
% 150.33/150.56 % inst_num_in_passive: 0
% 150.33/150.56 % inst_num_in_active: 0
% 150.33/150.56 % inst_num_in_unprocessed: 1008
% 150.33/150.56 % inst_num_of_loops: 0
% 150.33/150.56 % inst_num_of_learning_restarts: 0
% 150.33/150.56 % inst_num_moves_active_passive: 0
% 150.33/150.56 % inst_lit_activity: 0
% 150.33/150.56 % inst_lit_activity_moves: 0
% 150.33/150.56 % inst_num_tautologies: 0
% 150.33/150.56 % inst_num_prop_implied: 0
% 150.33/150.56 % inst_num_existing_simplified: 0
% 150.33/150.56 % inst_num_eq_res_simplified: 0
% 150.33/150.56 % inst_num_child_elim: 0
% 150.33/150.56 % inst_num_of_dismatching_blockings: 0
% 150.33/150.56 % inst_num_of_non_proper_insts: 0
% 150.33/150.56 % inst_num_of_duplicates: 0
% 150.33/150.56 % inst_inst_num_from_inst_to_res: 0
% 150.33/150.56 % inst_dismatching_checking_time: 0.
% 150.33/150.56
% 150.33/150.56 % ------ Resolution
% 150.33/150.56
% 150.33/150.56 % res_num_of_clauses: 668
% 150.33/150.56 % res_num_in_passive: 0
% 150.33/150.56 % res_num_in_active: 295
% 150.33/150.56 % res_num_of_loops: 0
% 150.33/150.56 % res_forward_subset_subsumed: 392
% 150.33/150.56 % res_backward_subset_subsumed: 0
% 150.33/150.56 % res_forward_subsumed: 0
% 150.33/150.56 % res_backward_subsumed: 0
% 150.33/150.56 % res_forward_subsumption_resolution: 0
% 150.33/150.56 % res_backward_subsumption_resolution: 0
% 150.33/150.56 % res_clause_to_clause_subsumption: 0
% 150.33/150.56 % res_orphan_elimination: 0
% 150.33/150.56 % res_tautology_del: 0
% 150.33/150.56 % res_num_eq_res_simplified: 0
% 150.33/150.56 % res_num_sel_changes: 0
% 150.33/150.56 % res_moves_from_active_to_pass: 0
% 150.33/150.56
% 150.33/150.56 % Status Unknown
% 150.40/150.72 % Orienting using strategy ClausalAll
% 150.40/150.72 % Orientation found
% 150.40/150.72 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2162d1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d13145.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_d8ffd7 | grep -v "SZS"
% 150.56/150.73
% 150.56/150.73 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.56/150.73
% 150.56/150.73 %
% 150.56/150.73 % ------ iProver source info
% 150.56/150.73
% 150.56/150.73 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.56/150.73 % git: non_committed_changes: true
% 150.56/150.73 % git: last_make_outside_of_git: true
% 150.56/150.73
% 150.56/150.73 %
% 150.56/150.73 % ------ Input Options
% 150.56/150.73
% 150.56/150.73 % --out_options all
% 150.56/150.73 % --tptp_safe_out true
% 150.56/150.73 % --problem_path ""
% 150.56/150.73 % --include_path ""
% 150.56/150.73 % --clausifier .//eprover
% 150.56/150.73 % --clausifier_options --tstp-format
% 150.56/150.73 % --stdin false
% 150.56/150.73 % --dbg_backtrace false
% 150.56/150.73 % --dbg_dump_prop_clauses false
% 150.56/150.73 % --dbg_dump_prop_clauses_file -
% 150.56/150.73 % --dbg_out_stat false
% 150.56/150.73
% 150.56/150.73 % ------ General Options
% 150.56/150.73
% 150.56/150.73 % --fof false
% 150.56/150.73 % --time_out_real 150.
% 150.56/150.73 % --time_out_prep_mult 0.2
% 150.56/150.73 % --time_out_virtual -1.
% 150.56/150.73 % --schedule none
% 150.56/150.73 % --ground_splitting input
% 150.56/150.73 % --splitting_nvd 16
% 150.56/150.73 % --non_eq_to_eq false
% 150.56/150.73 % --prep_gs_sim true
% 150.56/150.73 % --prep_unflatten false
% 150.56/150.73 % --prep_res_sim true
% 150.56/150.73 % --prep_upred true
% 150.56/150.73 % --res_sim_input true
% 150.56/150.73 % --clause_weak_htbl true
% 150.56/150.73 % --gc_record_bc_elim false
% 150.56/150.73 % --symbol_type_check false
% 150.56/150.73 % --clausify_out false
% 150.56/150.73 % --large_theory_mode false
% 150.56/150.73 % --prep_sem_filter none
% 150.56/150.73 % --prep_sem_filter_out false
% 150.56/150.73 % --preprocessed_out false
% 150.56/150.73 % --sub_typing false
% 150.56/150.73 % --brand_transform false
% 150.56/150.73 % --pure_diseq_elim true
% 150.56/150.73 % --min_unsat_core false
% 150.56/150.73 % --pred_elim true
% 150.56/150.73 % --add_important_lit false
% 150.56/150.73 % --soft_assumptions false
% 150.56/150.73 % --reset_solvers false
% 150.56/150.73 % --bc_imp_inh []
% 150.56/150.73 % --conj_cone_tolerance 1.5
% 150.56/150.73 % --prolific_symb_bound 500
% 150.56/150.73 % --lt_threshold 2000
% 150.56/150.73
% 150.56/150.73 % ------ SAT Options
% 150.56/150.73
% 150.56/150.73 % --sat_mode false
% 150.56/150.73 % --sat_fm_restart_options ""
% 150.56/150.73 % --sat_gr_def false
% 150.56/150.73 % --sat_epr_types true
% 150.56/150.73 % --sat_non_cyclic_types false
% 150.56/150.73 % --sat_finite_models false
% 150.56/150.73 % --sat_fm_lemmas false
% 150.56/150.73 % --sat_fm_prep false
% 150.56/150.73 % --sat_fm_uc_incr true
% 150.56/150.73 % --sat_out_model small
% 150.56/150.73 % --sat_out_clauses false
% 150.56/150.73
% 150.56/150.73 % ------ QBF Options
% 150.56/150.73
% 150.56/150.73 % --qbf_mode false
% 150.56/150.73 % --qbf_elim_univ true
% 150.56/150.73 % --qbf_sk_in true
% 150.56/150.73 % --qbf_pred_elim true
% 150.56/150.73 % --qbf_split 32
% 150.56/150.73
% 150.56/150.73 % ------ BMC1 Options
% 150.56/150.73
% 150.56/150.73 % --bmc1_incremental false
% 150.56/150.73 % --bmc1_axioms reachable_all
% 150.56/150.73 % --bmc1_min_bound 0
% 150.56/150.73 % --bmc1_max_bound -1
% 150.56/150.73 % --bmc1_max_bound_default -1
% 150.56/150.73 % --bmc1_symbol_reachability true
% 150.56/150.73 % --bmc1_property_lemmas false
% 150.56/150.73 % --bmc1_k_induction false
% 150.56/150.73 % --bmc1_non_equiv_states false
% 150.56/150.73 % --bmc1_deadlock false
% 150.56/150.73 % --bmc1_ucm false
% 150.56/150.73 % --bmc1_add_unsat_core none
% 150.56/150.73 % --bmc1_unsat_core_children false
% 150.56/150.73 % --bmc1_unsat_core_extrapolate_axioms false
% 150.56/150.73 % --bmc1_out_stat full
% 150.56/150.73 % --bmc1_ground_init false
% 150.56/150.73 % --bmc1_pre_inst_next_state false
% 150.56/150.73 % --bmc1_pre_inst_state false
% 150.56/150.73 % --bmc1_pre_inst_reach_state false
% 150.56/150.73 % --bmc1_out_unsat_core false
% 150.56/150.73 % --bmc1_aig_witness_out false
% 150.56/150.73 % --bmc1_verbose false
% 150.56/150.73 % --bmc1_dump_clauses_tptp false
% 153.37/153.58 % --bmc1_dump_unsat_core_tptp false
% 153.37/153.58 % --bmc1_dump_file -
% 153.37/153.58 % --bmc1_ucm_expand_uc_limit 128
% 153.37/153.58 % --bmc1_ucm_n_expand_iterations 6
% 153.37/153.58 % --bmc1_ucm_extend_mode 1
% 153.37/153.58 % --bmc1_ucm_init_mode 2
% 153.37/153.58 % --bmc1_ucm_cone_mode none
% 153.37/153.58 % --bmc1_ucm_reduced_relation_type 0
% 153.37/153.58 % --bmc1_ucm_relax_model 4
% 153.37/153.58 % --bmc1_ucm_full_tr_after_sat true
% 153.37/153.58 % --bmc1_ucm_expand_neg_assumptions false
% 153.37/153.58 % --bmc1_ucm_layered_model none
% 153.37/153.58 % --bmc1_ucm_max_lemma_size 10
% 153.37/153.58
% 153.37/153.58 % ------ AIG Options
% 153.37/153.58
% 153.37/153.58 % --aig_mode false
% 153.37/153.58
% 153.37/153.58 % ------ Instantiation Options
% 153.37/153.58
% 153.37/153.58 % --instantiation_flag true
% 153.37/153.58 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.37/153.58 % --inst_solver_per_active 750
% 153.37/153.58 % --inst_solver_calls_frac 0.5
% 153.37/153.58 % --inst_passive_queue_type priority_queues
% 153.37/153.58 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.37/153.58 % --inst_passive_queues_freq [25;2]
% 153.37/153.58 % --inst_dismatching true
% 153.37/153.58 % --inst_eager_unprocessed_to_passive true
% 153.37/153.58 % --inst_prop_sim_given true
% 153.37/153.58 % --inst_prop_sim_new false
% 153.37/153.58 % --inst_orphan_elimination true
% 153.37/153.58 % --inst_learning_loop_flag true
% 153.37/153.58 % --inst_learning_start 3000
% 153.37/153.58 % --inst_learning_factor 2
% 153.37/153.58 % --inst_start_prop_sim_after_learn 3
% 153.37/153.58 % --inst_sel_renew solver
% 153.37/153.58 % --inst_lit_activity_flag true
% 153.37/153.58 % --inst_out_proof true
% 153.37/153.58
% 153.37/153.58 % ------ Resolution Options
% 153.37/153.58
% 153.37/153.58 % --resolution_flag true
% 153.37/153.58 % --res_lit_sel kbo_max
% 153.37/153.58 % --res_to_prop_solver none
% 153.37/153.58 % --res_prop_simpl_new false
% 153.37/153.58 % --res_prop_simpl_given false
% 153.37/153.58 % --res_passive_queue_type priority_queues
% 153.37/153.58 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.37/153.58 % --res_passive_queues_freq [15;5]
% 153.37/153.58 % --res_forward_subs full
% 153.37/153.58 % --res_backward_subs full
% 153.37/153.58 % --res_forward_subs_resolution true
% 153.37/153.58 % --res_backward_subs_resolution true
% 153.37/153.58 % --res_orphan_elimination false
% 153.37/153.58 % --res_time_limit 1000.
% 153.37/153.58 % --res_out_proof true
% 153.37/153.58 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2162d1.s
% 153.37/153.58 % --modulo true
% 153.37/153.58
% 153.37/153.58 % ------ Combination Options
% 153.37/153.58
% 153.37/153.58 % --comb_res_mult 1000
% 153.37/153.58 % --comb_inst_mult 300
% 153.37/153.58 % ------
% 153.37/153.58
% 153.37/153.58 % ------ Parsing...% successful
% 153.37/153.58
% 153.37/153.58 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 153.37/153.58
% 153.37/153.58 % ------ Proving...
% 153.37/153.58 % ------ Problem Properties
% 153.37/153.58
% 153.37/153.58 %
% 153.37/153.58 % EPR false
% 153.37/153.58 % Horn false
% 153.37/153.58 % Has equality true
% 153.37/153.58
% 153.37/153.58 % % ------ Input Options Time Limit: Unbounded
% 153.37/153.58
% 153.37/153.58
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 Compiling...
% 153.37/153.58 Loading plugin: done.
% 153.37/153.58 % % ------ Current options:
% 153.37/153.58
% 153.37/153.58 % ------ Input Options
% 153.37/153.58
% 153.37/153.58 % --out_options all
% 153.37/153.58 % --tptp_safe_out true
% 153.37/153.58 % --problem_path ""
% 153.37/153.58 % --include_path ""
% 153.37/153.58 % --clausifier .//eprover
% 153.37/153.58 % --clausifier_options --tstp-format
% 153.37/153.58 % --stdin false
% 153.37/153.58 % --dbg_backtrace false
% 153.37/153.58 % --dbg_dump_prop_clauses false
% 153.37/153.58 % --dbg_dump_prop_clauses_file -
% 153.37/153.58 % --dbg_out_stat false
% 153.37/153.58
% 153.37/153.58 % ------ General Options
% 153.37/153.58
% 153.37/153.58 % --fof false
% 153.37/153.58 % --time_out_real 150.
% 153.37/153.58 % --time_out_prep_mult 0.2
% 153.37/153.58 % --time_out_virtual -1.
% 153.37/153.58 % --schedule none
% 153.37/153.58 % --ground_splitting input
% 153.37/153.58 % --splitting_nvd 16
% 153.37/153.58 % --non_eq_to_eq false
% 153.37/153.58 % --prep_gs_sim true
% 153.37/153.58 % --prep_unflatten false
% 153.37/153.58 % --prep_res_sim true
% 153.37/153.58 % --prep_upred true
% 153.37/153.58 % --res_sim_input true
% 153.37/153.58 % --clause_weak_htbl true
% 153.37/153.58 % --gc_record_bc_elim false
% 153.37/153.58 % --symbol_type_check false
% 153.37/153.58 % --clausify_out false
% 153.37/153.58 % --large_theory_mode false
% 153.37/153.58 % --prep_sem_filter none
% 153.37/153.58 % --prep_sem_filter_out false
% 153.37/153.58 % --preprocessed_out false
% 153.37/153.58 % --sub_typing false
% 153.37/153.58 % --brand_transform false
% 153.37/153.58 % --pure_diseq_elim true
% 153.37/153.58 % --min_unsat_core false
% 153.37/153.58 % --pred_elim true
% 153.37/153.58 % --add_important_lit false
% 153.37/153.58 % --soft_assumptions false
% 153.37/153.58 % --reset_solvers false
% 153.37/153.58 % --bc_imp_inh []
% 153.37/153.58 % --conj_cone_tolerance 1.5
% 153.37/153.58 % --prolific_symb_bound 500
% 153.37/153.58 % --lt_threshold 2000
% 153.37/153.58
% 153.37/153.58 % ------ SAT Options
% 153.37/153.58
% 153.37/153.58 % --sat_mode false
% 153.37/153.58 % --sat_fm_restart_options ""
% 153.37/153.58 % --sat_gr_def false
% 153.37/153.58 % --sat_epr_types true
% 153.37/153.58 % --sat_non_cyclic_types false
% 153.37/153.58 % --sat_finite_models false
% 153.37/153.58 % --sat_fm_lemmas false
% 153.37/153.58 % --sat_fm_prep false
% 153.37/153.58 % --sat_fm_uc_incr true
% 153.37/153.58 % --sat_out_model small
% 153.37/153.58 % --sat_out_clauses false
% 153.37/153.58
% 153.37/153.58 % ------ QBF Options
% 153.37/153.58
% 153.37/153.58 % --qbf_mode false
% 153.37/153.58 % --qbf_elim_univ true
% 153.37/153.58 % --qbf_sk_in true
% 153.37/153.58 % --qbf_pred_elim true
% 153.37/153.58 % --qbf_split 32
% 153.37/153.58
% 153.37/153.58 % ------ BMC1 Options
% 153.37/153.58
% 153.37/153.58 % --bmc1_incremental false
% 153.37/153.58 % --bmc1_axioms reachable_all
% 153.37/153.58 % --bmc1_min_bound 0
% 153.37/153.58 % --bmc1_max_bound -1
% 153.37/153.58 % --bmc1_max_bound_default -1
% 153.37/153.58 % --bmc1_symbol_reachability true
% 153.37/153.58 % --bmc1_property_lemmas false
% 153.37/153.58 % --bmc1_k_induction false
% 153.37/153.58 % --bmc1_non_equiv_states false
% 153.37/153.58 % --bmc1_deadlock false
% 153.37/153.58 % --bmc1_ucm false
% 153.37/153.58 % --bmc1_add_unsat_core none
% 153.37/153.58 % --bmc1_unsat_core_children false
% 153.37/153.58 % --bmc1_unsat_core_extrapolate_axioms false
% 153.37/153.58 % --bmc1_out_stat full
% 153.37/153.58 % --bmc1_ground_init false
% 153.37/153.58 % --bmc1_pre_inst_next_state false
% 153.37/153.58 % --bmc1_pre_inst_state false
% 153.37/153.58 % --bmc1_pre_inst_reach_state false
% 153.37/153.58 % --bmc1_out_unsat_core false
% 153.37/153.58 % --bmc1_aig_witness_out false
% 153.37/153.58 % --bmc1_verbose false
% 153.37/153.58 % --bmc1_dump_clauses_tptp false
% 153.37/153.58 % --bmc1_dump_unsat_core_tptp false
% 153.37/153.58 % --bmc1_dump_file -
% 153.37/153.58 % --bmc1_ucm_expand_uc_limit 128
% 153.37/153.58 % --bmc1_ucm_n_expand_iterations 6
% 153.37/153.58 % --bmc1_ucm_extend_mode 1
% 153.37/153.58 % --bmc1_ucm_init_mode 2
% 153.37/153.58 % --bmc1_ucm_cone_mode none
% 153.37/153.58 % --bmc1_ucm_reduced_relation_type 0
% 153.37/153.58 % --bmc1_ucm_relax_model 4
% 153.37/153.58 % --bmc1_ucm_full_tr_after_sat true
% 153.37/153.58 % --bmc1_ucm_expand_neg_assumptions false
% 153.37/153.58 % --bmc1_ucm_layered_model none
% 153.37/153.58 % --bmc1_ucm_max_lemma_size 10
% 153.37/153.58
% 153.37/153.58 % ------ AIG Options
% 153.37/153.58
% 153.37/153.58 % --aig_mode false
% 153.37/153.59
% 153.37/153.59 % ------ Instantiation Options
% 153.37/153.59
% 153.37/153.59 % --instantiation_flag true
% 153.37/153.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.37/153.59 % --inst_solver_per_active 750
% 153.37/153.59 % --inst_solver_calls_frac 0.5
% 153.37/153.59 % --inst_passive_queue_type priority_queues
% 153.37/153.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.37/153.59 % --inst_passive_queues_freq [25;2]
% 153.37/153.59 % --inst_dismatching true
% 153.37/153.59 % --inst_eager_unprocessed_to_passive true
% 153.37/153.59 % --inst_prop_sim_given true
% 153.37/153.59 % --inst_prop_sim_new false
% 153.37/153.59 % --inst_orphan_elimination true
% 153.37/153.59 % --inst_learning_loop_flag true
% 153.37/153.59 % --inst_learning_start 3000
% 153.37/153.59 % --inst_learning_factor 2
% 153.37/153.59 % --inst_start_prop_sim_after_learn 3
% 153.37/153.59 % --inst_sel_renew solver
% 153.37/153.59 % --inst_lit_activity_flag true
% 153.37/153.59 % --inst_out_proof true
% 153.37/153.59
% 153.37/153.59 % ------ Resolution Options
% 153.37/153.59
% 153.37/153.59 % --resolution_flag true
% 153.37/153.59 % --res_lit_sel kbo_max
% 153.37/153.59 % --res_to_prop_solver none
% 153.37/153.59 % --res_prop_simpl_new false
% 153.37/153.59 % --res_prop_simpl_given false
% 153.37/153.59 % --res_passive_queue_type priority_queues
% 153.37/153.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.37/153.59 % --res_passive_queues_freq [15;5]
% 153.37/153.59 % --res_forward_subs full
% 153.37/153.59 % --res_backward_subs full
% 153.37/153.59 % --res_forward_subs_resolution true
% 153.37/153.59 % --res_backward_subs_resolution true
% 153.37/153.59 % --res_orphan_elimination false
% 153.37/153.59 % --res_time_limit 1000.
% 153.37/153.59 % --res_out_proof true
% 153.37/153.59 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2162d1.s
% 153.37/153.59 % --modulo true
% 153.37/153.59
% 153.37/153.59 % ------ Combination Options
% 153.37/153.59
% 153.37/153.59 % --comb_res_mult 1000
% 153.37/153.59 % --comb_inst_mult 300
% 153.37/153.59 % ------
% 153.37/153.59
% 153.37/153.59
% 153.37/153.59
% 153.37/153.59 % ------ Proving...
% 153.37/153.59 %
% 153.37/153.59
% 153.37/153.59
% 153.37/153.59 % Resolution empty clause
% 153.37/153.59
% 153.37/153.59 % ------ Statistics
% 153.37/153.59
% 153.37/153.59 % ------ General
% 153.37/153.59
% 153.37/153.59 % num_of_input_clauses: 1008
% 153.37/153.59 % num_of_input_neg_conjectures: 4
% 153.37/153.59 % num_of_splits: 0
% 153.37/153.59 % num_of_split_atoms: 0
% 153.37/153.59 % num_of_sem_filtered_clauses: 0
% 153.37/153.59 % num_of_subtypes: 0
% 153.37/153.59 % monotx_restored_types: 0
% 153.37/153.59 % sat_num_of_epr_types: 0
% 153.37/153.59 % sat_num_of_non_cyclic_types: 0
% 153.37/153.59 % sat_guarded_non_collapsed_types: 0
% 153.37/153.59 % is_epr: 0
% 153.37/153.59 % is_horn: 0
% 153.37/153.59 % has_eq: 1
% 153.37/153.59 % num_pure_diseq_elim: 0
% 153.37/153.59 % simp_replaced_by: 0
% 153.37/153.59 % res_preprocessed: 8
% 153.37/153.59 % prep_upred: 0
% 153.37/153.59 % prep_unflattend: 0
% 153.37/153.59 % pred_elim_cands: 0
% 153.37/153.59 % pred_elim: 0
% 153.37/153.59 % pred_elim_cl: 0
% 153.37/153.59 % pred_elim_cycles: 0
% 153.37/153.59 % forced_gc_time: 0
% 153.37/153.59 % gc_basic_clause_elim: 0
% 153.37/153.59 % parsing_time: 0.037
% 153.37/153.59 % sem_filter_time: 0.
% 153.37/153.59 % pred_elim_time: 0.
% 153.37/153.59 % out_proof_time: 0.
% 153.37/153.59 % monotx_time: 0.
% 153.37/153.59 % subtype_inf_time: 0.
% 153.37/153.59 % unif_index_cands_time: 0.
% 153.37/153.59 % unif_index_add_time: 0.002
% 153.37/153.59 % total_time: 2.865
% 153.37/153.59 % num_of_symbols: 108
% 153.37/153.59 % num_of_terms: 3800
% 153.37/153.59
% 153.37/153.59 % ------ Propositional Solver
% 153.37/153.59
% 153.37/153.59 % prop_solver_calls: 1
% 153.37/153.59 % prop_fast_solver_calls: 18
% 153.37/153.59 % prop_num_of_clauses: 1272
% 153.37/153.59 % prop_preprocess_simplified: 2762
% 153.37/153.59 % prop_fo_subsumed: 0
% 153.37/153.59 % prop_solver_time: 0.
% 153.37/153.59 % prop_fast_solver_time: 0.
% 153.37/153.59 % prop_unsat_core_time: 0.
% 153.37/153.59
% 153.37/153.59 % ------ QBF
% 153.37/153.59
% 153.37/153.59 % qbf_q_res: 0
% 153.37/153.59 % qbf_num_tautologies: 0
% 153.37/153.59 % qbf_prep_cycles: 0
% 153.37/153.59
% 153.37/153.59 % ------ BMC1
% 153.37/153.59
% 153.37/153.59 % bmc1_current_bound: -1
% 153.37/153.59 % bmc1_last_solved_bound: -1
% 153.37/153.59 % bmc1_unsat_core_size: -1
% 153.37/153.59 % bmc1_unsat_core_parents_size: -1
% 153.37/153.59 % bmc1_merge_next_fun: 0
% 153.37/153.59 % bmc1_unsat_core_clauses_time: 0.
% 153.37/153.59
% 153.37/153.59 % ------ Instantiation
% 153.37/153.59
% 153.37/153.59 % inst_num_of_clauses: 906
% 153.37/153.59 % inst_num_in_passive: 0
% 153.37/153.59 % inst_num_in_active: 0
% 153.37/153.59 % inst_num_in_unprocessed: 1008
% 153.37/153.59 % inst_num_of_loops: 0
% 153.37/153.59 % inst_num_of_learning_restarts: 0
% 153.37/153.59 % inst_num_moves_active_passive: 0
% 153.37/153.59 % inst_lit_activity: 0
% 153.37/153.59 % inst_lit_activity_moves: 0
% 153.37/153.59 % inst_num_tautologies: 0
% 153.37/153.59 % inst_num_prop_implied: 0
% 153.37/153.59 % inst_num_existing_simplified: 0
% 153.37/153.59 % inst_num_eq_res_simplified: 0
% 153.37/153.59 % inst_num_child_elim: 0
% 153.37/153.59 % inst_num_of_dismatching_blockings: 0
% 153.37/153.59 % inst_num_of_non_proper_insts: 0
% 153.37/153.59 % inst_num_of_duplicates: 0
% 153.37/153.59 % inst_inst_num_from_inst_to_res: 0
% 153.37/153.59 % inst_dismatching_checking_time: 0.
% 153.37/153.59
% 153.37/153.59 % ------ Resolution
% 153.37/153.59
% 153.37/153.59 % res_num_of_clauses: 968
% 153.37/153.59 % res_num_in_passive: 20
% 153.37/153.59 % res_num_in_active: 513
% 153.37/153.59 % res_num_of_loops: 10
% 153.37/153.59 % res_forward_subset_subsumed: 413
% 153.37/153.59 % res_backward_subset_subsumed: 0
% 153.37/153.59 % res_forward_subsumed: 1
% 153.37/153.59 % res_backward_subsumed: 0
% 153.37/153.59 % res_forward_subsumption_resolution: 1
% 153.37/153.59 % res_backward_subsumption_resolution: 0
% 153.37/153.59 % res_clause_to_clause_subsumption: 11
% 153.37/153.59 % res_orphan_elimination: 0
% 153.37/153.59 % res_tautology_del: 1
% 153.37/153.59 % res_num_eq_res_simplified: 0
% 153.37/153.59 % res_num_sel_changes: 0
% 153.37/153.59 % res_moves_from_active_to_pass: 0
% 153.37/153.59
% 153.37/153.59 % Status Unsatisfiable
% 153.37/153.59 % SZS status Unsatisfiable
% 153.37/153.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------