TPTP Problem File: SWV976-1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWV976-1 : TPTP v8.2.0. Released v4.1.0.
% Domain : Software Verification
% Problem : Java type soundness 486_5
% Version : Especial.
% English :
% Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% Source : [Nip10]
% Names : TypeSafe-486_5 [Nip10]
% Status : Unsatisfiable
% Rating : 1.00 v4.1.0
% Syntax : Number of clauses : 436 ( 172 unt; 57 nHn; 250 RR)
% Number of literals : 819 ( 402 equ; 381 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 23 ( 22 usr; 0 prp; 1-6 aty)
% Number of functors : 94 ( 94 usr; 26 con; 0-7 aty)
% Number of variables : 1807 ( 450 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrt__elim__cases_I8_J_7,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_TypeRel_Ohas__field(V_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_F,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_insert__Diff_0,axiom,
( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
cnf(cls_WT__elim__cases_I1_J_2,axiom,
( c_WellType_OWT(V_P,V_E,V_e,c_WellType_Osko__WellType__XWT__elim__cases__1__2(V_E,V_P,V_V,V_e))
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_Compl__empty__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
cnf(cls_compl__bot__eq_0,axiom,
( ~ class_Lattices_Oboolean__algebra(T_a)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
cnf(cls_minus__zero_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_neg__equal__zero_1,axiom,
( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_fun__Compl__def_0,axiom,
( ~ class_HOL_Ouminus(T_b)
| hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_neg__0__equal__iff__equal_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
cnf(cls_sees__field__fun_1,axiom,
( V_D_H = V_D
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T_H,V_D_H,T_a)
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T,V_D,T_a) ) ).
cnf(cls_sees__field__fun_0,axiom,
( V_T_H = V_T
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T_H,V_D_H,T_a)
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T,V_D,T_a) ) ).
cnf(cls_Compl__eq__Compl__iff_0,axiom,
( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
| V_A = V_B ) ).
cnf(cls_neg__equal__iff__equal_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
| V_a = V_b ) ).
cnf(cls_compl__eq__compl__iff_0,axiom,
( ~ class_Lattices_Oboolean__algebra(T_a)
| c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
| V_x = V_y ) ).
cnf(cls_Compl__UNIV__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_compl__top__eq_0,axiom,
( ~ class_Lattices_Oboolean__algebra(T_a)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
cnf(cls_neg__equal__0__iff__equal_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
cnf(cls_WTrt_H__elim__cases_2,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,c_Progress_Osko__Progress__XWTrt_H__elim__cases__1__2(V_E,V_P,V_V,V_e,V_h))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_class__ringb_Osubr0__iff_1,axiom,
( ~ class_Ring__and__Field_Oidom(T_a)
| ~ class_Int_Onumber__ring(T_a)
| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_diff__self_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_diff__0__right_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
cnf(cls_right__minus__eq_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_WTFAcc_0,axiom,
( c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(V_P,V_E,V_e,c_Type_Oty_OClass(V_C)) ) ).
cnf(cls_DiffE_1,axiom,
( ~ hBOOL(c_in(V_c,V_B,T_a))
| ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
cnf(cls_DiffE_0,axiom,
( hBOOL(c_in(V_c,V_A,T_a))
| ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
cnf(cls_WTrt__elim__cases_I8_J_8,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v))
| c_TypeRel_Ohas__field(V_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_F,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
| ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
cnf(cls_ComplI_0,axiom,
( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
| hBOOL(c_in(V_c,V_A,T_a)) ) ).
cnf(cls_ComplD_0,axiom,
( ~ hBOOL(c_in(V_c,V_A,T_a))
| ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
cnf(cls_dom__minus_0,axiom,
( hAPP(V_f,V_x) != c_Option_Ooption_ONone(T_a)
| c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),c_Set_Oinsert(V_x,V_A,T_b),tc_fun(T_b,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool)) ) ).
cnf(cls_insert__Diff1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
cnf(cls_neg__0__equal__iff__equal_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
| c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
cnf(cls_eq__eqI_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
| V_xa = V_y ) ).
cnf(cls_eq__eqI_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
| V_x_H = V_y_H ) ).
cnf(cls_WTrt__elim__cases_I1_J_2,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(V_E,V_P,V_e,V_h,V_v))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_v,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
cnf(cls_class__ringb_Osubr0__iff_0,axiom,
( ~ class_Ring__and__Field_Oidom(T_a)
| ~ class_Int_Onumber__ring(T_a)
| c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| V_x = V_y ) ).
cnf(cls_right__minus__eq_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| V_a = V_b ) ).
cnf(cls_eq__iff__diff__eq__0_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| V_a = V_b ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I8_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_TypeRel_Ohas__field(V_P,V_C,V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(V_C)) ) ).
cnf(cls_has__visible__field_0,axiom,
( c_TypeRel_Ohas__field(V_P,V_C,V_F,V_T,V_D,T_a)
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T,V_D,T_a) ) ).
cnf(cls_Diff__iff_2,axiom,
( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
| hBOOL(c_in(V_c,V_B,T_a))
| ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
cnf(cls_DiffI_0,axiom,
( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
| hBOOL(c_in(V_c,V_B,T_a))
| ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
cnf(cls_fun__diff__def_0,axiom,
( ~ class_HOL_Ominus(T_b)
| hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ).
cnf(cls_group__add__class_Odiff__0_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
cnf(cls_WTrt__elim__cases_I7_J_1,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_TypeRel_Ohas__field(V_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(V_D,V_E,V_F,V_P,V_T,V_e,V_h),V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_insert__Diff__if_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
| hBOOL(c_in(V_x,V_B,T_a)) ) ).
cnf(cls_neg__equal__zero_0,axiom,
( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
| c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
cnf(cls_Diff__insert__absorb_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
| hBOOL(c_in(V_x,V_A,T_a)) ) ).
cnf(cls_WTrt__elim__cases_I8_J_6,axiom,
( V_T = c_Type_Oty_OVoid
| c_TypeRel_Ohas__field(V_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_F,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v),V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_double__complement_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
cnf(cls_minus__minus_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
cnf(cls_double__compl_0,axiom,
( ~ class_Lattices_Oboolean__algebra(T_a)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
cnf(cls_equation__minus__iff_0,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
cnf(cls_equation__minus__iff_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
cnf(cls_minus__equation__iff_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(T_a)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
cnf(cls_WTrtFAcc_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_TypeRel_Ohas__field(V_P,V_C,V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(V_C)) ) ).
cnf(cls_minus__diff__eq_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(T_a)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
cnf(cls_sees__field__idemp_0,axiom,
( c_TypeRel_Osees__field(V_P,V_D,V_F,V_T,V_D,T_a)
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T,V_D,T_a) ) ).
cnf(cls_fun__upd__restrict_0,axiom,
c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) ).
cnf(cls_WTrt__elim__cases_I8_J_4,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I8_J_3,axiom,
( V_T = c_Type_Oty_OVoid
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I7_J_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(V_D,V_E,V_F,V_P,V_T,V_e,V_h)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I8_J_5,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v))
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_fun__upd__restrict__conv_0,axiom,
( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))
| ~ hBOOL(c_in(V_x,V_D,T_a)) ) ).
cnf(cls_restrict__fun__upd_0,axiom,
( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))
| ~ hBOOL(c_in(V_x,V_D,T_a)) ) ).
cnf(cls_dom__fun__upd_0,axiom,
c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f,T_a,T_b),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
cnf(cls_restrict__upd__same_0,axiom,
c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)),c_HOL_Ouminus__class_Ouminus(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_Map_Orestrict__map(V_m,c_HOL_Ouminus__class_Ouminus(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) ).
cnf(cls_WTrt__elim__cases_I1_J_3,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2(V_E,V_P,V_e,V_h,V_v)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(V_E,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_v,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrtFAss_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_092_060_094isub_0622),V_T))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
| ~ c_TypeRel_Ohas__field(V_P,V_C,V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_Type_Oty_OClass(V_C)) ) ).
cnf(cls_WT__elim__cases_I1_J_3,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__1__2(V_E,V_P,V_V,V_e)),c_WellType_Osko__WellType__XWT__elim__cases__1__1(V_E,V_P,V_V,V_e)))
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTFAss_0,axiom,
( c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_H),V_T))
| ~ c_WellType_OWT(V_P,V_E,V_e_092_060_094isub_0622,V_T_H)
| ~ c_TypeRel_Osees__field(V_P,V_C,V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(V_P,V_E,V_e_092_060_094isub_0621,c_Type_Oty_OClass(V_C)) ) ).
cnf(cls_WTrt_H__elim__cases_3,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_Progress_Osko__Progress__XWTrt_H__elim__cases__1__2(V_E,V_P,V_V,V_e,V_h)),c_Progress_Osko__Progress__XWTrt_H__elim__cases__1__1(V_E,V_P,V_V,V_e,V_h)))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I10_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_092_060_094isub_0622),V_T))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
| ~ c_TypeRel_Ohas__field(V_P,V_C,V_F,V_T,V_D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_Type_Oty_OClass(V_C)) ) ).
cnf(cls_WTrt__elim__cases_I8_J_13,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I8_J_12,axiom,
( V_T = c_Type_Oty_OVoid
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_fun__upd__None__restrict_0,axiom,
( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)
| ~ hBOOL(c_in(V_x,V_D,T_a)) ) ).
cnf(cls_WTrt__elim__cases_I8_J_14,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(V_D,V_E,V_F,V_P,V_e,V_h,V_v)))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_dom__eq__singleton__conv_0,axiom,
( c_Map_Odom(V_f,T_a,T_b) != c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
| V_f = c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_x,hAPP(c_Option_Ooption_OSome(T_b),c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1(V_f,V_x,T_a,T_b)),T_a,tc_Option_Ooption(T_b)) ) ).
cnf(cls_confs__conv__map_0,axiom,
( c_List_Omap(c_Objects_Otypeof__h(V_h),V_vs,tc_Value_Oval,tc_Option_Ooption(tc_Type_Oty)) = c_List_Omap(c_Option_Ooption_OSome(tc_Type_Oty),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(V_P,V_Ts_H,V_h,V_vs,T_a),tc_Type_Oty,tc_Option_Ooption(tc_Type_Oty))
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts_H,tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_map__add__dom__app__simps_I1_J_0,axiom,
( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l2,V_m)
| ~ hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)) ) ).
cnf(cls_confs__Cons2_0,axiom,
( V_xs = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(V_P,V_h,V_xs,V_y,V_ys,T_a),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(V_P,V_h,V_xs,V_y,V_ys,T_a),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xs,c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(V_a,V_A,T_a) = V_A
| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
cnf(cls_insert__ident_0,axiom,
( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
| hBOOL(c_in(V_x,V_B,T_a))
| hBOOL(c_in(V_x,V_A,T_a))
| V_A = V_B ) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| ~ hBOOL(hAPP(V_A,V_x)) ) ).
cnf(cls_map_Osimps_I2_J_0,axiom,
c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ).
cnf(cls_Cons__eq__map__conv_3,axiom,
c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ).
cnf(cls_map__eq__Cons__conv_3,axiom,
c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ).
cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| hBOOL(c_in(V_x,V_xa,T_a)) ) ).
cnf(cls_fun__upd__None__restrict_1,axiom,
( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m,V_D,T_a,T_b)
| hBOOL(c_in(V_x,V_D,T_a)) ) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(V_P,V_x))
| ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
cnf(cls_singleton__inject_0,axiom,
( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
| V_a = V_b ) ).
cnf(cls_ty_Osimps_I21_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT ).
cnf(cls_insert__dom_0,axiom,
( hAPP(V_f,V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
| c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_b,T_a),T_b) = c_Map_Odom(V_f,T_b,T_a) ) ).
cnf(cls_inj__onD_0,axiom,
( hAPP(V_f,V_x) != hAPP(V_f,V_y)
| ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
| V_x = V_y
| ~ hBOOL(c_in(V_y,V_A,T_a))
| ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
cnf(cls_inj__on__def_0,axiom,
( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
| ~ hBOOL(c_in(V_xa,V_A,T_a))
| ~ hBOOL(c_in(V_x,V_A,T_a))
| ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
| V_x = V_xa ) ).
cnf(cls_inj__on__iff_0,axiom,
( hAPP(V_f,V_x) != hAPP(V_f,V_y)
| ~ hBOOL(c_in(V_y,V_A,T_a))
| ~ hBOOL(c_in(V_x,V_A,T_a))
| ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
| V_x = V_y ) ).
cnf(cls_inj__on__contraD_0,axiom,
( hAPP(V_f,V_x) != hAPP(V_f,V_y)
| ~ hBOOL(c_in(V_y,V_A,T_a))
| ~ hBOOL(c_in(V_x,V_A,T_a))
| V_x = V_y
| ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
cnf(cls_map__map_0,axiom,
c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
cnf(cls_insertCI_1,axiom,
hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
cnf(cls_insertI1_0,axiom,
hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
cnf(cls_insert__iff_1,axiom,
hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
cnf(cls_singletonE_0,axiom,
( V_b = V_a
| ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
cnf(cls_map__le__upds_0,axiom,
( c_Map_Omap__le(c_Map_Omap__upds(V_f,V_as,V_bs,T_a,T_b),c_Map_Omap__upds(V_g,V_as,V_bs,T_a,T_b),T_a,T_b)
| ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
| ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
cnf(cls_WT__elim__cases_I1_J_4,axiom,
~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OLAss(c_Type_Othis,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ).
cnf(cls_bot__fun__eq_0,axiom,
( ~ class_Orderings_Obot(T_b)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_ty_Osimps_I19_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OInteger ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(V_A,V_x))
| V_y = V_x
| ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
cnf(cls_ty_Oinject_0,axiom,
( c_Type_Oty_OClass(V_list) != c_Type_Oty_OClass(V_list_H)
| V_list = V_list_H ) ).
cnf(cls_ty_Osimps_I9_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OVoid ).
cnf(cls_map__le__def_0,axiom,
( hAPP(V_m_092_060_094isub_0621,V_x) = hAPP(V_m_092_060_094isub_0622,V_x)
| ~ hBOOL(c_in(V_x,c_Map_Odom(V_m_092_060_094isub_0621,T_a,T_b),T_a))
| ~ c_Map_Omap__le(V_m_092_060_094isub_0621,V_m_092_060_094isub_0622,T_a,T_b) ) ).
cnf(cls_UNIV__I_0,axiom,
hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
cnf(cls_restrict__out_0,axiom,
( hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x) = c_Option_Ooption_ONone(T_b)
| hBOOL(c_in(V_x,V_A,T_a)) ) ).
cnf(cls_domI_0,axiom,
( hAPP(V_m,V_a) != hAPP(c_Option_Ooption_OSome(T_a),V_b)
| hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)) ) ).
cnf(cls_widens__Cons_0,axiom,
( V_ys = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(V_P,V_x,V_xs,V_ys,T_a),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(V_P,V_x,V_xs,V_ys,T_a),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),V_ys,tc_Type_Oty,tc_Type_Oty) ) ).
cnf(cls_map__add__upds_0,axiom,
c_Map_Omap__add(V_m1,c_Map_Omap__upds(V_m2,V_xs,V_ys,T_a,T_b),T_a,T_b) = c_Map_Omap__upds(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_xs,V_ys,T_a,T_b) ).
cnf(cls_map__injective_0,axiom,
( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a)
| V_xs = V_ys
| ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) ) ).
cnf(cls_inj__map__eq__map_0,axiom,
( c_List_Omap(V_f,V_xs,T_a,T_b) != c_List_Omap(V_f,V_ys,T_a,T_b)
| ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
| V_xs = V_ys ) ).
cnf(cls_injD_0,axiom,
( hAPP(V_f,V_x) != hAPP(V_f,V_y)
| ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
| V_x = V_y ) ).
cnf(cls_restrict__fun__upd_1,axiom,
( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b) = c_Map_Orestrict__map(V_m,V_D,T_a,T_b)
| hBOOL(c_in(V_x,V_D,T_a)) ) ).
cnf(cls_domIff_0,axiom,
( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b)
| ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ).
cnf(cls_domIff_1,axiom,
( hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))
| hAPP(V_m,V_a) = c_Option_Ooption_ONone(T_b) ) ).
cnf(cls_restrict__map__insert_0,axiom,
c_Map_Orestrict__map(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f,V_A,T_a,T_b),V_a,hAPP(V_f,V_a),T_a,tc_Option_Ooption(T_b)) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
cnf(cls_insertE_0,axiom,
( hBOOL(c_in(V_a,V_A,T_a))
| V_a = V_b
| ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
cnf(cls_top__fun__eq_0,axiom,
( ~ class_Orderings_Otop(T_b)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
cnf(cls_WTrt__elim__cases_I8_J_11,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v))
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_restrict__in_0,axiom,
( hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x) = hAPP(V_m,V_x)
| ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
cnf(cls_doubleton__eq__iff_0,axiom,
( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
| V_a = V_d
| V_a = V_c ) ).
cnf(cls_doubleton__eq__iff_1,axiom,
( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
| V_b = V_c
| V_a = V_c ) ).
cnf(cls_doubleton__eq__iff_2,axiom,
( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
| V_a = V_d
| V_b = V_d ) ).
cnf(cls_doubleton__eq__iff_3,axiom,
( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
| V_b = V_c
| V_b = V_d ) ).
cnf(cls_bot__empty__eq_0,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
cnf(cls_emptyE_0,axiom,
~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
cnf(cls_empty__iff_0,axiom,
~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(V_P,V_x))
| ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
cnf(cls_ex__in__conv_0,axiom,
~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
cnf(cls_ty_Osimps_I18_J_0,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OClass(V_list_H) ).
cnf(cls_ty_Osimps_I20_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H) ).
cnf(cls_insertCI_0,axiom,
( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
| ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
cnf(cls_insert__iff_2,axiom,
( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
cnf(cls_singleton__iff_1,axiom,
hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
cnf(cls_restrict__map__to__empty_0,axiom,
hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b) ).
cnf(cls_ty_Osimps_I8_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OClass(V_list_H) ).
cnf(cls_map__add__dom__app__simps_I2_J_0,axiom,
( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l2,V_m)
| hBOOL(c_in(V_m,c_Map_Odom(V_l1,T_a,T_b),T_a)) ) ).
cnf(cls_map__add__dom__app__simps_I3_J_0,axiom,
( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l1,V_m)
| hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)) ) ).
cnf(cls_widen__Class_2,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),c_Type_Oty_OClass(V_C))) ).
cnf(cls_default__val_Osimps_I4_J_0,axiom,
c_Value_Odefault__val(c_Type_Oty_ONT) = c_Value_Oval_ONull ).
cnf(cls_WTrt__elim__cases_I8_J_0,axiom,
( V_T = c_Type_Oty_OVoid
| V_T = c_Type_Oty_OVoid
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I1_J_0,axiom,
( V_T = c_Type_Oty_OVoid
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_v,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_upd__None__map__le_0,axiom,
c_Map_Omap__le(c_Fun_Ofun__upd(V_f,V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)),V_f,T_a,T_b) ).
cnf(cls_WTrtFAccNT_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ) ).
cnf(cls_confs__conv__map_2,axiom,
( c_List_Omap(c_Objects_Otypeof__h(V_h),V_vs,tc_Value_Oval,tc_Option_Ooption(tc_Type_Oty)) != c_List_Omap(c_Option_Ooption_OSome(tc_Type_Oty),V_x,tc_Type_Oty,tc_Option_Ooption(tc_Type_Oty))
| c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts_H,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_x,V_Ts_H,tc_Type_Oty,tc_Type_Oty) ) ).
cnf(cls_option__map__o__empty_0,axiom,
hAPP(c_Fun_Ocomp(c_Option_Omap(V_f,T_c,T_b),c_COMBK(c_Option_Ooption_ONone(T_c),tc_Option_Ooption(T_c),t_a),tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),t_a),v_x) = c_Option_Ooption_ONone(T_b) ).
cnf(cls_confs__conv__map_1,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(V_P,V_Ts_H,V_h,V_vs,T_a),V_Ts_H,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts_H,tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I7_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_H),V_T))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,V_T_H)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OVar(V_V,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_map__add__upd__left_0,axiom,
( c_Map_Omap__add(c_Fun_Ofun__upd(V_e1,V_m,hAPP(c_Option_Ooption_OSome(T_b),V_u1),T_a,tc_Option_Ooption(T_b)),V_e2,T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_e1,V_e2,T_a,T_b),V_m,hAPP(c_Option_Ooption_OSome(T_b),V_u1),T_a,tc_Option_Ooption(T_b))
| hBOOL(c_in(V_m,c_Map_Odom(V_e2,T_a,T_b),T_a)) ) ).
cnf(cls_dom__eq__singleton__conv_1,axiom,
c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_x,hAPP(c_Option_Ooption_OSome(T_b),V_xa),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
cnf(cls_exp_Osimps_I78_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_comp__cong_0,axiom,
( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
| hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
cnf(cls_o__eq__dest_0,axiom,
( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
| hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
cnf(cls_WTVar_0,axiom,
( hAPP(V_E,V_V) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OVar(V_V,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_exp_Osimps_I76_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_list_Oinject_1,axiom,
( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
| V_list = V_list_H ) ).
cnf(cls_list_Oinject_0,axiom,
( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
| V_a = V_a_H ) ).
cnf(cls_dom__const_0,axiom,
c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(T_b),V_y),tc_Option_Ooption(T_b),T_a),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
cnf(cls_exp_Osimps_I154_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_exp_Osimps_I116_J_0,axiom,
c_Expr_Oexp_OVar(V_a,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) ).
cnf(cls_o__def_0,axiom,
hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
cnf(cls_o__assoc_0,axiom,
c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
cnf(cls_WTrt__elim__cases_I1_J_1,axiom,
( hAPP(V_E,V_v) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1(V_E,V_P,V_e,V_h,V_v))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_v,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I8_J_9,axiom,
( V_T = c_Type_Oty_OVoid
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt__elim__cases_I8_J_2,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v))
| V_T = c_Type_Oty_OVoid
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_dom__eq__empty__conv_0,axiom,
( c_Map_Odom(V_f,T_a,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| V_f = c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a) ) ).
cnf(cls_exp_Osimps_I6_J_0,axiom,
( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
| V_a = V_a_H ) ).
cnf(cls_exp_Osimps_I6_J_1,axiom,
( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
| V_exp = V_exp_H ) ).
cnf(cls_WT__elim__cases_I1_J_0,axiom,
( V_T = c_Type_Oty_OVoid
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_map__le__antisym_0,axiom,
( V_f = V_g
| ~ c_Map_Omap__le(V_g,V_f,T_a,T_b)
| ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
cnf(cls_exp_Osimps_I155_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ).
cnf(cls_exp_Osimps_I72_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OVar(V_a_H,T_a) ).
cnf(cls_confs__Cons2_1,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(V_P,V_h,V_xs,V_y,V_ys,T_a)),V_y))
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xs,c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_option__map__comp_0,axiom,
hAPP(c_Option_Omap(V_f,T_b,T_a),hAPP(c_Option_Omap(V_g,T_c,T_b),V_opt)) = hAPP(c_Option_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),T_c,T_a),V_opt) ).
cnf(cls_option_Osplit__asm_5,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f2,v_sko__Option__Xoption__Xsplit__asm__1(V_P,V_f2,V_x))))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_option_Ocase__cong_3,axiom,
( hAPP(V_f2,c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_xa,V_f2,V_g2,T_aa,T_a)) != hAPP(V_g2,c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_xa,V_f2,V_g2,T_aa,T_a))
| c_Option_Ooption_Ooption__case(V_x,V_f2,V_xa,T_a,T_aa) = c_Option_Ooption_Ooption__case(V_x,V_g2,V_xa,T_a,T_aa) ) ).
cnf(cls_map__le__iff__map__add__commute_1,axiom,
( c_Map_Omap__add(V_f,V_g,T_a,T_b) != c_Map_Omap__add(V_g,V_f,T_a,T_b)
| c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b) ) ).
cnf(cls_map__le__iff__map__add__commute_0,axiom,
( c_Map_Omap__add(V_f,V_g,T_a,T_b) = c_Map_Omap__add(V_g,V_f,T_a,T_b)
| ~ c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b) ) ).
cnf(cls_restrict__map__empty_0,axiom,
hAPP(c_Map_Orestrict__map(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),t_a),V_D,t_a,T_b),v_x) = c_Option_Ooption_ONone(T_b) ).
cnf(cls_map__add__def_0,axiom,
hAPP(c_Map_Omap__add(V_m1,V_m2,t_a,T_b),v_x) = c_Option_Ooption_Ooption__case(hAPP(V_m1,v_x),c_Option_Ooption_OSome(T_b),hAPP(V_m2,v_x),tc_Option_Ooption(T_b),T_b) ).
cnf(cls_WT__elim__cases_I1_J_1,axiom,
( hAPP(V_E,V_V) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),c_WellType_Osko__WellType__XWT__elim__cases__1__1(V_E,V_P,V_V,V_e))
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_o__eq__dest__lhs_0,axiom,
hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
cnf(cls_o__apply_0,axiom,
hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
cnf(cls_exp_Osimps_I8_J_0,axiom,
( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
| V_exp1 = V_exp1_H ) ).
cnf(cls_exp_Osimps_I8_J_1,axiom,
( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
| V_list1 = V_list1_H ) ).
cnf(cls_exp_Osimps_I8_J_2,axiom,
( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
| V_list2 = V_list2_H ) ).
cnf(cls_exp_Osimps_I8_J_3,axiom,
( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
| V_exp2 = V_exp2_H ) ).
cnf(cls_exp_Osimps_I7_J_0,axiom,
( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
| V_exp = V_exp_H ) ).
cnf(cls_exp_Osimps_I7_J_1,axiom,
( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
| V_list1 = V_list1_H ) ).
cnf(cls_exp_Osimps_I7_J_2,axiom,
( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
| V_list2 = V_list2_H ) ).
cnf(cls_list__all2__Cons2_3,axiom,
( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xa,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_xa,V_ys,T_a,T_b)
| ~ hBOOL(hAPP(hAPP(V_P,V_x),V_y)) ) ).
cnf(cls_list__all2__Cons1_3,axiom,
( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_xa,V_xb,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_xs,V_xb,T_a,T_b)
| ~ hBOOL(hAPP(hAPP(V_P,V_x),V_xa)) ) ).
cnf(cls_list__all2__Cons_2,axiom,
( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
| ~ hBOOL(hAPP(hAPP(V_P,V_x),V_y)) ) ).
cnf(cls_default__val_Osimps_I5_J_0,axiom,
c_Value_Odefault__val(c_Type_Oty_OClass(V_C)) = c_Value_Oval_ONull ).
cnf(cls_map__le__upd_0,axiom,
( c_Map_Omap__le(c_Fun_Ofun__upd(V_f,V_a,V_b,T_a,tc_Option_Ooption(T_b)),c_Fun_Ofun__upd(V_g,V_a,V_b,T_a,tc_Option_Ooption(T_b)),T_a,T_b)
| ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
cnf(cls_K__record__comp_0,axiom,
hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
cnf(cls_exp_Osimps_I74_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) ).
cnf(cls_WTrt_H__elim__cases_1,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OVar(V_V,tc_List_Olist(tc_String_Ochar)),c_Progress_Osko__Progress__XWTrt_H__elim__cases__1__1(V_E,V_P,V_V,V_e,V_h))
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_confs__Cons2_2,axiom,
( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(V_P,V_h,V_xs,V_y,V_ys,T_a),V_ys,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xs,c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_map__le__trans_0,axiom,
( c_Map_Omap__le(V_m1,V_m3,T_a,T_b)
| ~ c_Map_Omap__le(V_m2,V_m3,T_a,T_b)
| ~ c_Map_Omap__le(V_m1,V_m2,T_a,T_b) ) ).
cnf(cls_map__le__refl_0,axiom,
c_Map_Omap__le(V_f,V_f,T_a,T_b) ).
cnf(cls_map__add__le__mapE_0,axiom,
( c_Map_Omap__le(V_g,V_h,T_a,T_b)
| ~ c_Map_Omap__le(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_h,T_a,T_b) ) ).
cnf(cls_defval__conf_0,axiom,
hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Odefault__val(V_T)),V_T)) ).
cnf(cls_list__all2__Cons_1,axiom,
( c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
| ~ c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).
cnf(cls_confs__Cons2_3,axiom,
( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),c_List_Olist_OCons(V_x,V_xa,tc_Value_Oval),c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xa,V_ys,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_x),V_y)) ) ).
cnf(cls_exp_Osimps_I73_J_0,axiom,
c_Expr_Oexp_OVar(V_a_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ).
cnf(cls_default__val_Osimps_I3_J_0,axiom,
c_Value_Odefault__val(c_Type_Oty_OInteger) = c_Value_Oval_OIntg(c_HOL_Ozero__class_Ozero(tc_Int_Oint)) ).
cnf(cls_exp_Osimps_I137_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ).
cnf(cls_dom__empty_0,axiom,
c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
cnf(cls_exp_Osimps_I138_J_0,axiom,
c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_map__upds__Cons_0,axiom,
c_Map_Omap__upds(V_m,c_List_Olist_OCons(V_a,V_as,T_a),c_List_Olist_OCons(V_b,V_bs,T_b),T_a,T_b) = c_Map_Omap__upds(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_b),T_a,tc_Option_Ooption(T_b)),V_as,V_bs,T_a,T_b) ).
cnf(cls_exp_Osimps_I139_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ).
cnf(cls_exp_Osimps_I121_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OVar(V_a,T_a) ).
cnf(cls_exp_Osimps_I79_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ).
cnf(cls_exp_Osimps_I136_J_0,axiom,
c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_dom__fun__upd_1,axiom,
( c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_a,T_b),T_a)
| V_y = c_Option_Ooption_ONone(T_b) ) ).
cnf(cls_fun__upd__comp_0,axiom,
c_Fun_Ocomp(V_f,c_Fun_Ofun__upd(V_g,V_x,V_y,T_a,T_c),T_c,T_b,T_a) = c_Fun_Ofun__upd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),V_x,hAPP(V_f,V_y),T_a,T_b) ).
cnf(cls_exp_Osimps_I119_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVar(V_a,T_a) ).
cnf(cls_exp_Osimps_I77_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ).
cnf(cls_exp_Osimps_I120_J_0,axiom,
c_Expr_Oexp_OVar(V_a,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_WTrt__elim__cases_I8_J_10,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WT__implies__WTrt_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T)
| ~ c_WellType_OWT(V_P,V_E,V_e,V_T) ) ).
cnf(cls_list__all2__Cons_0,axiom,
( hBOOL(hAPP(hAPP(V_P,V_x),V_y))
| ~ c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).
cnf(cls_exp_Osimps_I118_J_0,axiom,
c_Expr_Oexp_OVar(V_a,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_exp_Osimps_I117_J_0,axiom,
c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OVar(V_a,T_a) ).
cnf(cls_exp_Osimps_I75_J_0,axiom,
c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ).
cnf(cls_exp_Osimps_I5_J_0,axiom,
( c_Expr_Oexp_OVar(V_a,T_a) != c_Expr_Oexp_OVar(V_a_H,T_a)
| V_a = V_a_H ) ).
cnf(cls_WT__elim__cases_I8_J_0,axiom,
( V_T = c_Type_Oty_OVoid
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OFAss(V_a,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_option_Osplit_5,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f2,v_sko__Option__Xoption__Xsplit__1(V_P,V_f2,V_x))))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_widens__Cons_1,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_x),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(V_P,V_x,V_xs,V_ys,T_a)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),V_ys,tc_Type_Oty,tc_Type_Oty) ) ).
cnf(cls_widens__Cons_2,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(V_P,V_x,V_xs,V_ys,T_a),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),V_ys,tc_Type_Oty,tc_Type_Oty) ) ).
cnf(cls_not__Cons__self2_0,axiom,
c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
cnf(cls_not__Cons__self_0,axiom,
V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
cnf(cls_WTLAss_0,axiom,
( hAPP(V_E,V_V) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| V_V = c_Type_Othis
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_H),V_T))
| ~ c_WellType_OWT(V_P,V_E,V_e,V_T_H) ) ).
cnf(cls_map__le__map__add_0,axiom,
c_Map_Omap__le(V_f,c_Map_Omap__add(V_g,V_f,T_a,T_b),T_a,T_b) ).
cnf(cls_map__add__le__mapI_0,axiom,
( c_Map_Omap__le(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_h,T_a,T_b)
| ~ c_Map_Omap__le(V_f,c_Map_Omap__add(V_f,V_g,T_a,T_b),T_a,T_b)
| ~ c_Map_Omap__le(V_g,V_h,T_a,T_b)
| ~ c_Map_Omap__le(V_f,V_h,T_a,T_b) ) ).
cnf(cls_default__val_Osimps_I1_J_0,axiom,
c_Value_Odefault__val(c_Type_Oty_OVoid) = c_Value_Oval_OUnit ).
cnf(cls_option_Ocase__cong_2,axiom,
( c_Option_Ooption_Ooption__case(V_x,V_f2,V_xa,T_a,T_aa) = c_Option_Ooption_Ooption__case(V_x,V_g2,V_xa,T_a,T_aa)
| V_xa = hAPP(c_Option_Ooption_OSome(T_aa),c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_xa,V_f2,V_g2,T_aa,T_a)) ) ).
cnf(cls_option_Osplit__asm_4,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| V_x = hAPP(c_Option_Ooption_OSome(t_b),v_sko__Option__Xoption__Xsplit__asm__1(V_P,V_f2,V_x))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_option_Osplit_4,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| V_x = hAPP(c_Option_Ooption_OSome(t_b),v_sko__Option__Xoption__Xsplit__1(V_P,V_f2,V_x))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_WTrtVar_0,axiom,
( hAPP(V_E,V_V) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OVar(V_V,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I9_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ) ).
cnf(cls_WTrt_H__elim__cases_0,axiom,
( V_T = c_Type_Oty_OVoid
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_option_Osplit_3,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f2,v_sko__Option__Xoption__Xsplit__1(V_P,V_f2,V_x))))
| V_x = c_Option_Ooption_ONone(t_b) ) ).
cnf(cls_option_Ocase__cong_1,axiom,
( hAPP(V_f2,c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_x,V_f2,V_g2,T_a,T_b)) != hAPP(V_g2,c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_x,V_f2,V_g2,T_a,T_b))
| V_x = c_Option_Ooption_ONone(T_a)
| c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,T_b,T_a) = c_Option_Ooption_Ooption__case(V_g1,V_g2,V_x,T_b,T_a) ) ).
cnf(cls_option_Osplit__asm_3,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f2,v_sko__Option__Xoption__Xsplit__asm__1(V_P,V_f2,V_x))))
| V_x = c_Option_Ooption_ONone(t_b) ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I4_J_0,axiom,
( hAPP(V_E,V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OVar(V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_option__map__eq__Some_1,axiom,
( hAPP(c_Option_Omap(V_f,T_b,T_a),V_xo) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
| hAPP(V_f,c_ATP__Linkup_Osko__Option__Xoption__map__eq__Some__1__1(V_f,V_xo,V_y,T_b,T_a)) = V_y ) ).
cnf(cls_option__map__eq__Some_0,axiom,
( hAPP(c_Option_Omap(V_f,T_b,T_a),V_xo) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
| V_xo = hAPP(c_Option_Ooption_OSome(T_b),c_ATP__Linkup_Osko__Option__Xoption__map__eq__Some__1__1(V_f,V_xo,V_y,T_b,T_a)) ) ).
cnf(cls_map__le__empty_0,axiom,
c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_g,T_a,T_b) ).
cnf(cls_widens__Cons_3,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),c_List_Olist_OCons(V_xa,V_xb,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xb,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_x),V_xa)) ) ).
cnf(cls_map__comp__Some__iff_0,axiom,
( c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) != hAPP(c_Option_Ooption_OSome(T_a),V_v)
| hAPP(V_m2,V_k) = hAPP(c_Option_Ooption_OSome(T_b),c_Map_Osko__Map__Xmap__comp__Some__iff__1__1(V_k,V_m1,V_m2,V_v,T_c,T_b,T_a)) ) ).
cnf(cls_map__comp__Some__iff_1,axiom,
( c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) != hAPP(c_Option_Ooption_OSome(T_a),V_v)
| hAPP(V_m1,c_Map_Osko__Map__Xmap__comp__Some__iff__1__1(V_k,V_m1,V_m2,V_v,T_c,T_b,T_a)) = hAPP(c_Option_Ooption_OSome(T_a),V_v) ) ).
cnf(cls_confs__hext_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h_H,T_a),V_vs,V_Ts,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(V_h,V_h_H)
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts,tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_map__comp__None__iff_1,axiom,
( c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) != c_Option_Ooption_ONone(T_a)
| hAPP(V_m1,c_Map_Osko__Map__Xmap__comp__None__iff__1__1(V_k,V_m1,V_m2,T_c,T_b,T_a)) = c_Option_Ooption_ONone(T_a)
| hAPP(V_m2,V_k) = c_Option_Ooption_ONone(T_b) ) ).
cnf(cls_inj__on__map__add__dom_0,axiom,
( c_Fun_Oinj__on(V_m_H,c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b))
| ~ c_Fun_Oinj__on(c_Map_Omap__add(V_m,V_m_H,T_a,T_b),c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b)) ) ).
cnf(cls_inj__on__map__add__dom_1,axiom,
( c_Fun_Oinj__on(c_Map_Omap__add(V_m,V_m_H,T_a,T_b),c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b))
| ~ c_Fun_Oinj__on(V_m_H,c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b)) ) ).
cnf(cls_is__none__def__raw_0,axiom,
c_Option_Ois__none(v_x,t_a) = hAPP(hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x),c_Option_Ooption_ONone(t_a)) ).
cnf(cls_map__le__imp__upd__le_0,axiom,
( c_Map_Omap__le(c_Fun_Ofun__upd(V_m1,V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b)),c_Fun_Ofun__upd(V_m2,V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)),T_a,T_b)
| ~ c_Map_Omap__le(V_m1,V_m2,T_a,T_b) ) ).
cnf(cls_WTrt__elim__cases_I8_J_1,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| V_T = c_Type_Oty_OVoid
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_WTrtFAssNT_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_Type_Oty_ONT) ) ).
cnf(cls_option_Osplit__asm_2,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| V_x = hAPP(c_Option_Ooption_OSome(t_b),v_sko__Option__Xoption__Xsplit__asm__1(V_P,V_f2,V_x))
| V_x = c_Option_Ooption_ONone(t_b) ) ).
cnf(cls_option_Ocase__cong_0,axiom,
( c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,T_b,T_a) = c_Option_Ooption_Ooption__case(V_g1,V_g2,V_x,T_b,T_a)
| V_x = hAPP(c_Option_Ooption_OSome(T_a),c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_x,V_f2,V_g2,T_a,T_b))
| V_x = c_Option_Ooption_ONone(T_a) ) ).
cnf(cls_option_Osplit_2,axiom,
( hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,V_x,t_a,t_b)))
| V_x = hAPP(c_Option_Ooption_OSome(t_b),v_sko__Option__Xoption__Xsplit__1(V_P,V_f2,V_x))
| V_x = c_Option_Ooption_ONone(t_b) ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I11_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_Type_Oty_ONT) ) ).
cnf(cls_option__map__o__map__upd_0,axiom,
c_Fun_Ocomp(c_Option_Omap(V_f,T_c,T_b),c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_c),V_b),T_a,tc_Option_Ooption(T_c)),tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a) = c_Fun_Ofun__upd(c_Fun_Ocomp(c_Option_Omap(V_f,T_c,T_b),V_m,tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a),V_a,hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f,V_b)),T_a,tc_Option_Ooption(T_b)) ).
cnf(cls_empty__upd__none_0,axiom,
hAPP(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),t_a),V_x,c_Option_Ooption_ONone(T_b),t_a,tc_Option_Ooption(T_b)),v_xa) = c_Option_Ooption_ONone(T_b) ).
cnf(cls_map__comp__None__iff_0,axiom,
( c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) != c_Option_Ooption_ONone(T_a)
| hAPP(V_m2,V_k) = hAPP(c_Option_Ooption_OSome(T_b),c_Map_Osko__Map__Xmap__comp__None__iff__1__1(V_k,V_m1,V_m2,T_c,T_b,T_a))
| hAPP(V_m2,V_k) = c_Option_Ooption_ONone(T_b) ) ).
cnf(cls_confs__widens_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts_H,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ts,V_Ts_H,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts,tc_Value_Oval,tc_Type_Oty) ) ).
cnf(cls_map__comp__empty_I1_J_0,axiom,
c_Map_Omap__comp(V_m,c_COMBK(c_Option_Ooption_ONone(T_c),tc_Option_Ooption(T_c),t_a),v_x,T_c,T_b,t_a) = c_Option_Ooption_ONone(T_b) ).
cnf(cls_map__comp__empty_I2_J_0,axiom,
c_Map_Omap__comp(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_c),V_m,v_x,T_c,T_b,t_a) = c_Option_Ooption_ONone(T_b) ).
cnf(cls_WTrtLAss_0,axiom,
( hAPP(V_E,V_V) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OLAss(V_V,V_e,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_H),V_T))
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T_H) ) ).
cnf(cls_WTVal_0,axiom,
( hAPP(c_Objects_Otypeof__h(c_COMBK(c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat)),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_map__comp__simps_I1_J_0,axiom,
( hAPP(V_m2,V_k) != c_Option_Ooption_ONone(T_a)
| c_Map_Omap__comp(V_m1,V_m2,V_k,T_a,T_c,T_b) = c_Option_Ooption_ONone(T_c) ) ).
cnf(cls_map__comp__None__iff_2,axiom,
( hAPP(V_m2,V_k) != c_Option_Ooption_ONone(T_b)
| c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) = c_Option_Ooption_ONone(T_a) ) ).
cnf(cls_conf__Null_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),V_T))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Oval_ONull),V_T)) ) ).
cnf(cls_conf__Null_1,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Oval_ONull),V_T))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),V_T)) ) ).
cnf(cls_fun__upd__idem__iff_0,axiom,
( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
| hAPP(V_f,V_x) = V_y ) ).
cnf(cls_map__add__None_2,axiom,
( hAPP(V_m,V_k) != c_Option_Ooption_ONone(T_a)
| hAPP(V_n,V_k) != c_Option_Ooption_ONone(T_a)
| hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_ONone(T_a) ) ).
cnf(cls_ty_Osimps_I6_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_ONT ).
cnf(cls_option__map__None_0,axiom,
hAPP(c_Option_Omap(V_f,T_b,T_a),c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a) ).
cnf(cls_is__type__simps_3,axiom,
c_Decl_Ois__type(V_P,c_Type_Oty_ONT,T_a) ).
cnf(cls_is__none__def_0,axiom,
( V_x = c_Option_Ooption_ONone(T_a)
| ~ hBOOL(c_Option_Ois__none(V_x,T_a)) ) ).
cnf(cls_ty_Osimps_I4_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OInteger ).
cnf(cls_conf__hext_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h_H,T_a),V_v),V_T))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T))
| ~ c_Objects_Ohext(V_h,V_h_H) ) ).
cnf(cls_hext__refl_0,axiom,
c_Objects_Ohext(V_h,V_h) ).
cnf(cls_hext__trans_0,axiom,
( c_Objects_Ohext(V_h,V_h_H_H)
| ~ c_Objects_Ohext(V_h_H,V_h_H_H)
| ~ c_Objects_Ohext(V_h,V_h_H) ) ).
cnf(cls_WTrt__hext__mono_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h_H,V_E,V_e,V_T)
| ~ c_Objects_Ohext(V_h,V_h_H)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_map__add__None_0,axiom,
( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_ONone(T_a)
| hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a) ) ).
cnf(cls_map__add__None_1,axiom,
( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_ONone(T_a)
| hAPP(V_m,V_k) = c_Option_Ooption_ONone(T_a) ) ).
cnf(cls_map__add__Some__iff_3,axiom,
( hAPP(V_m,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
| hAPP(V_n,V_k) != c_Option_Ooption_ONone(T_a)
| hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
cnf(cls_option_Orecs_I1_J_0,axiom,
c_Option_Ooption_Ooption__rec(V_f1,V_f2,c_Option_Ooption_ONone(T_b),T_a,T_b) = V_f1 ).
cnf(cls_empty__map__add_0,axiom,
c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_m,T_a,T_b) = V_m ).
cnf(cls_map__add__empty_0,axiom,
c_Map_Omap__add(V_m,c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b) = V_m ).
cnf(cls_list__all2__eq_1,axiom,
( V_xs = V_ys
| ~ c_List_Olist__all2(c_fequal(T_a),V_xs,V_ys,T_a,T_a) ) ).
cnf(cls_option_Osplit_0,axiom,
( ~ hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,c_Option_Ooption_ONone(t_b),t_a,t_b)))
| hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
cnf(cls_COMBI__def_0,axiom,
hAPP(c_COMBI(T_a),V_P) = V_P ).
cnf(cls_wt_H__wt_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_wt__wt_H_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,V_T)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_ty_Osimps_I5_J_0,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OVoid ).
cnf(cls_ty_Osimps_I16_J_0,axiom,
c_Type_Oty_OInteger != c_Type_Oty_ONT ).
cnf(cls_inj__on__id2_0,axiom,
c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ).
cnf(cls_map__upd__nonempty_0,axiom,
c_Fun_Ofun__upd(V_t,V_k,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_a,tc_Option_Ooption(T_b)) != c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a) ).
cnf(cls_map__add__assoc_0,axiom,
c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b) ).
cnf(cls_fun__upd__twist_0,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)
| V_a = V_c ) ).
cnf(cls_option__map__is__None_0,axiom,
( hAPP(c_Option_Omap(V_f,T_b,T_a),V_opt) != c_Option_Ooption_ONone(T_a)
| V_opt = c_Option_Ooption_ONone(T_b) ) ).
cnf(cls_val_Osimps_I14_J_0,axiom,
c_Value_Oval_ONull != c_Value_Oval_OIntg(V_int_H) ).
cnf(cls_fun__upd__upd_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ).
cnf(cls_val_Osimps_I4_J_0,axiom,
c_Value_Oval_OUnit != c_Value_Oval_ONull ).
cnf(cls_ty_Osimps_I7_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OVoid ).
cnf(cls_val_Osimps_I8_J_0,axiom,
c_Value_Oval_OUnit != c_Value_Oval_OIntg(V_int_H) ).
cnf(cls_conf__def_1,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Conform_Osko__Conform__Xconf__def__1__1(V_P,V_T,V_h,V_v,T_a)),V_T))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).
cnf(cls_val_Osimps_I15_J_0,axiom,
c_Value_Oval_OIntg(V_int_H) != c_Value_Oval_ONull ).
cnf(cls_is__none__def_1,axiom,
hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(T_a),T_a)) ).
cnf(cls_option_Osimps_I4_J_0,axiom,
c_Option_Ooption_Ooption__case(V_f1,V_f2,c_Option_Ooption_ONone(T_b),T_a,T_b) = V_f1 ).
cnf(cls_conf__NT_0,axiom,
( V_v = c_Value_Oval_ONull
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),c_Type_Oty_ONT)) ) ).
cnf(cls_fun__upd__idem_0,axiom,
c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
cnf(cls_fun__upd__triv_0,axiom,
c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
cnf(cls_fun__upd__idem__iff_1,axiom,
c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
cnf(cls_val_Osimps_I5_J_0,axiom,
c_Value_Oval_ONull != c_Value_Oval_OUnit ).
cnf(cls_map__add__SomeD_0,axiom,
( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
| hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a)
| hAPP(V_n,V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
cnf(cls_is__type__simps_2,axiom,
c_Decl_Ois__type(V_P,c_Type_Oty_OInteger,T_a) ).
cnf(cls_map__add__upd_0,axiom,
c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)) ).
cnf(cls_val_Osimps_I9_J_0,axiom,
c_Value_Oval_OIntg(V_int_H) != c_Value_Oval_OUnit ).
cnf(cls_map__comp__None__iff_3,axiom,
( hAPP(V_m1,V_x) != c_Option_Ooption_ONone(T_a)
| hAPP(V_m2,V_k) != hAPP(c_Option_Ooption_OSome(T_b),V_x)
| c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) = c_Option_Ooption_ONone(T_a) ) ).
cnf(cls_is__type__simps_0,axiom,
c_Decl_Ois__type(V_P,c_Type_Oty_OVoid,T_a) ).
cnf(cls_ty_Osimps_I17_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OInteger ).
cnf(cls_val_Osimps_I2_J_0,axiom,
( c_Value_Oval_OIntg(V_int) != c_Value_Oval_OIntg(V_int_H)
| V_int = V_int_H ) ).
cnf(cls_fun__upd__apply_1,axiom,
( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
| V_z = V_x ) ).
cnf(cls_fun__upd__other_0,axiom,
( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
| V_z = V_x ) ).
cnf(cls_list__all2__eq_0,axiom,
c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a) ).
cnf(cls_conf__NT_1,axiom,
hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Oval_ONull),c_Type_Oty_ONT)) ).
cnf(cls_exp_Osimps_I3_J_0,axiom,
( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a)
| V_val = V_val_H ) ).
cnf(cls_map__upd__eqD1_0,axiom,
( c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_a,tc_Option_Ooption(T_b)) != c_Fun_Ofun__upd(V_n,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b))
| V_x = V_y ) ).
cnf(cls_the_Osimps_0,axiom,
c_Option_Othe(hAPP(c_Option_Ooption_OSome(T_a),V_x),T_a) = V_x ).
cnf(cls_option_Orecs_I2_J_0,axiom,
c_Option_Ooption_Ooption__rec(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(T_b),V_a),T_a,T_b) = hAPP(V_f2,V_a) ).
cnf(cls_typeof__h_Osimps_I1_J_0,axiom,
hAPP(c_Objects_Otypeof__h(V_h),c_Value_Oval_OUnit) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),c_Type_Oty_OVoid) ).
cnf(cls_map__upd__triv_0,axiom,
( hAPP(V_t,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
| c_Fun_Ofun__upd(V_t,V_k,hAPP(c_Option_Ooption_OSome(T_a),V_x),T_b,tc_Option_Ooption(T_a)) = V_t ) ).
cnf(cls_map__upd__Some__unfold_3,axiom,
hAPP(c_Fun_Ofun__upd(V_m,V_xa,hAPP(c_Option_Ooption_OSome(T_a),V_x),T_aa,tc_Option_Ooption(T_a)),V_xa) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ).
cnf(cls_map__comp__Some__iff_2,axiom,
( hAPP(V_m1,V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_v)
| hAPP(V_m2,V_k) != hAPP(c_Option_Ooption_OSome(T_b),V_x)
| c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) = hAPP(c_Option_Ooption_OSome(T_a),V_v) ) ).
cnf(cls_typeof__lit__conf_0,axiom,
( hAPP(c_Objects_Otypeof__h(c_COMBK(c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat)),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).
cnf(cls_conf__def_2,axiom,
( hAPP(c_Objects_Otypeof__h(V_h),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_x)
| hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_x),V_T)) ) ).
cnf(cls_T1subT_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_092_060_094isub_0621____),v_T____)) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I3_J_0,axiom,
( hAPP(c_Objects_Otypeof__h(V_h),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_conf__def_0,axiom,
( hAPP(c_Objects_Otypeof__h(V_h),V_v) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),c_Conform_Osko__Conform__Xconf__def__1__1(V_P,V_T,V_h,V_v,T_a))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).
cnf(cls_option_Osplit__asm_1,axiom,
( ~ hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(t_b),V_xa),t_a,t_b)))
| hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ).
cnf(cls_option_Osplit_1,axiom,
( ~ hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(t_b),V_a),t_a,t_b)))
| hBOOL(hAPP(V_P,hAPP(V_f2,V_a))) ) ).
cnf(cls_inj__Some_0,axiom,
c_Fun_Oinj__on(c_Option_Ooption_OSome(T_a),V_A,T_a,tc_Option_Ooption(T_a)) ).
cnf(cls_typeof__h_Osimps_I4_J_0,axiom,
hAPP(c_Objects_Otypeof__h(V_h),c_Value_Oval_OIntg(V_i)) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),c_Type_Oty_OInteger) ).
cnf(cls_is__none__code_I2_J_0,axiom,
~ hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(T_a),V_x),T_a)) ).
cnf(cls_option_Oinject_0,axiom,
( hAPP(c_Option_Ooption_OSome(T_a),V_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H)
| V_a = V_a_H ) ).
cnf(cls_WTrtVal_0,axiom,
( hAPP(c_Objects_Otypeof__h(V_h),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_not__None__eq_1,axiom,
hAPP(c_Option_Ooption_OSome(T_a),V_xa) != c_Option_Ooption_ONone(T_a) ).
cnf(cls_option_Osimps_I3_J_0,axiom,
hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ).
cnf(cls_typeof__conf_0,axiom,
( hAPP(c_Objects_Otypeof__h(V_h),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).
cnf(cls_wt_092_060_094isub_0621_0,axiom,
hAPP(c_Objects_Otypeof__h(v_ha____),v_v____) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),v_T_092_060_094isub_0621____) ).
cnf(cls_map__upd__Some__unfold_4,axiom,
( hAPP(V_m,V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
| V_x = V_a
| hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y) ) ).
cnf(cls_map__upd__Some__unfold_2,axiom,
( hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
| hAPP(V_m,V_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y)
| V_b = V_y ) ).
cnf(cls_map__upd__Some__unfold_0,axiom,
( hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
| hAPP(V_m,V_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y)
| V_x = V_a ) ).
cnf(cls_option_Osimps_I5_J_0,axiom,
c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(T_b),V_a),T_a,T_b) = hAPP(V_f2,V_a) ).
cnf(cls_map__upd__Some__unfold_1,axiom,
( V_b = V_y
| hAPP(c_Fun_Ofun__upd(V_m,V_x,hAPP(c_Option_Ooption_OSome(T_aa),V_b),T_a,tc_Option_Ooption(T_aa)),V_x) != hAPP(c_Option_Ooption_OSome(T_aa),V_y) ) ).
cnf(cls_typeof__lit__typeof_0,axiom,
( hAPP(c_Objects_Otypeof__h(c_COMBK(c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat)),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| hAPP(c_Objects_Otypeof__h(V_h),V_v) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T) ) ).
cnf(cls_typeof__h_Osimps_I2_J_0,axiom,
hAPP(c_Objects_Otypeof__h(V_h),c_Value_Oval_ONull) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),c_Type_Oty_ONT) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_y) ).
cnf(cls_option_Osimps_I2_J_0,axiom,
c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)) ).
cnf(cls_widen__trans_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_S),V_T))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_U),V_T))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_S),V_U)) ) ).
cnf(cls_conf__widen_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T_H))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T_H))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).
cnf(cls_v_H_0,axiom,
hAPP(v_l_Ha____,v_V____) = hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_v_H____) ).
cnf(cls_map__add__SomeD_1,axiom,
( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
| hAPP(V_m,V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x)
| hAPP(V_n,V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
cnf(cls_option__map__Some_0,axiom,
hAPP(c_Option_Omap(V_f,T_b,T_a),hAPP(c_Option_Ooption_OSome(T_b),V_x)) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f,V_x)) ).
cnf(cls_hext__typeof__mono_0,axiom,
( hAPP(c_Objects_Otypeof__h(V_h),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| ~ c_Objects_Ohext(V_h,V_h_H)
| hAPP(c_Objects_Otypeof__h(V_h_H),V_v) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T) ) ).
cnf(cls_map__comp__simps_I2_J_0,axiom,
( hAPP(V_m2,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_k_H)
| c_Map_Omap__comp(V_m1,V_m2,V_k,T_a,T_c,T_b) = hAPP(V_m1,V_k_H) ) ).
cnf(cls_ospec_1,axiom,
( ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(T_a),V_x),V_P,T_a)))
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_typeof__lit__is__type_0,axiom,
( hAPP(c_Objects_Otypeof__h(c_COMBK(c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat)),V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_T)
| c_Decl_Ois__type(V_P,V_T,T_a) ) ).
cnf(cls_COMBI__def__raw_0,axiom,
hAPP(c_COMBI(t_a),v_P) = v_P ).
cnf(cls_map__add__find__right_0,axiom,
( hAPP(V_n,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_xx)
| hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_xx) ) ).
cnf(cls_map__add__Some__iff_2,axiom,
( hAPP(V_n,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
| hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
cnf(cls_widens__trans_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ss,V_Us,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ts,V_Us,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ss,V_Ts,tc_Type_Oty,tc_Type_Oty) ) ).
cnf(cls_widens__refl_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty) ).
cnf(cls_CHAINED_0,axiom,
c_Conform_Olconf(v_P,v_h_Ha____,v_l_Ha____,c_Fun_Ofun__upd(v_E____,v_V____,hAPP(c_Option_Ooption_OSome(tc_Type_Oty),v_T____),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ).
cnf(cls_CHAINED_0_01,axiom,
hAPP(v_l_Ha____,v_V____) = hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_v_H____) ).
cnf(cls_conjecture_0,negated_conjecture,
( hAPP(c_Objects_Otypeof__h(v_h_Ha____),v_v_H____) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty),V_x)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_x),v_T____)) ) ).
cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
| ~ class_Lattices_Oboolean__algebra(T_1) ) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(T_2,T_1))
| ~ class_Orderings_Otop(T_1) ) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(T_2,T_1))
| ~ class_Orderings_Obot(T_1) ) ).
cnf(clsarity_fun__HOL_Ouminus,axiom,
( class_HOL_Ouminus(tc_fun(T_2,T_1))
| ~ class_HOL_Ouminus(T_1) ) ).
cnf(clsarity_fun__HOL_Ominus,axiom,
( class_HOL_Ominus(tc_fun(T_2,T_1))
| ~ class_HOL_Ominus(T_1) ) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat) ).
cnf(clsarity_nat__HOL_Ominus,axiom,
class_HOL_Ominus(tc_nat) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool) ).
cnf(clsarity_bool__HOL_Ouminus,axiom,
class_HOL_Ouminus(tc_bool) ).
cnf(clsarity_bool__HOL_Ominus,axiom,
class_HOL_Ominus(tc_bool) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint) ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Int_Oint) ).
cnf(clsarity_Int__Oint__HOL_Ouminus,axiom,
class_HOL_Ouminus(tc_Int_Oint) ).
cnf(clsarity_Int__Oint__HOL_Ominus,axiom,
class_HOL_Ominus(tc_Int_Oint) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( V_X = V_Y
| ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
%------------------------------------------------------------------------------