TPTP Problem File: SWV938-1.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SWV938-1 : TPTP v8.2.0. Released v4.1.0.
% Domain : Software Verification
% Problem : Java type soundness 229_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-229_5 [Nip10]
% Status : Unsatisfiable
% Rating : 0.10 v8.2.0, 0.14 v8.1.0, 0.32 v7.4.0, 0.24 v7.3.0, 0.25 v7.0.0, 0.33 v6.3.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.60 v5.5.0, 0.75 v5.3.0, 0.83 v5.2.0, 0.75 v5.1.0, 0.71 v4.1.0
% Syntax : Number of clauses : 501 ( 193 unt; 124 nHn; 243 RR)
% Number of literals : 1234 ( 647 equ; 531 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 0 prp; 1-8 aty)
% Number of functors : 80 ( 80 usr; 25 con; 0-7 aty)
% Number of variables : 2541 ( 881 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
%------------------------------------------------------------------------------
cnf(cls_WTrt_H__WTrts_H_Ointros_I15_J_0,axiom,
( c_Progress_OWTrts_H(V_P,V_h,V_E,c_List_Olist_OCons(V_e,V_es,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(V_T,V_Ts,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_WTCons_0,axiom,
( c_WellType_OWTs(V_P,V_E,c_List_Olist_OCons(V_e,V_es,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(V_T,V_Ts,tc_Type_Oty))
| ~ c_WellType_OWTs(V_P,V_E,V_es,V_Ts)
| ~ c_WellType_OWT(V_P,V_E,V_e,V_T) ) ).
cnf(cls_WTs__implies__WTrts_0,axiom,
( c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_WellType_OWTs(V_P,V_E,V_es,V_Ts) ) ).
cnf(cls_wts_H__wts_0,axiom,
( c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_Progress_OWTrts_H(V_P,V_h,V_E,V_es,V_Ts) ) ).
cnf(cls_wts__wts_H_0,axiom,
( c_Progress_OWTrts_H(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts) ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I13_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_Progress_OWTrts_H(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ) ).
cnf(cls_ty_Osplit__asm_29,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_23,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a))
| V_xc = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_xb,V_f2,V_xa,V_x,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_xb,V_g2,V_xa,V_x,V_g5,V_xc,T_a) ) ).
cnf(cls_ty_Osplit__asm_20,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_20,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_28,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_15,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a))
| V_xc = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_xb,V_xa,V_x,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_g1,V_xb,V_xa,V_x,V_g5,V_xc,T_a) ) ).
cnf(cls_ty_Osplit_28,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
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_ty_Osplit__asm_34,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit_34,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_29,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a))
| V_xc = c_Type_Oty_ONT
| c_Type_Oty_Oty__case(V_xb,V_xa,V_x,V_f4,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_xb,V_xa,V_x,V_g4,V_g5,V_xc,T_a) ) ).
cnf(cls_ty_Ocase__cong_27,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a))
| V_xc = c_Type_Oty_OInteger
| c_Type_Oty_Oty__case(V_xb,V_xa,V_f3,V_x,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_xb,V_xa,V_g3,V_x,V_g5,V_xc,T_a) ) ).
cnf(cls_ty_Osplit_32,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit__asm_32,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
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_ty_Osplit__asm_35,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_30,axiom,
( c_Type_Oty_Oty__case(V_xc,V_xb,V_xa,V_x,V_f5,V_xd,T_a) = c_Type_Oty_Oty__case(V_xc,V_xb,V_xa,V_x,V_g5,V_xd,T_a)
| V_xd = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xd,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Osplit_35,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_exp_Osimps_I187_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) ).
cnf(cls_ty_Osplit__asm_36,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_exp_Osimps_I31_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ).
cnf(cls_exp_Osimps_I78_J_0,axiom,
hAPP(c_Expr_Oexp_OVal(T_a),V_val) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_exp_Osimps_I80_J_0,axiom,
hAPP(c_Expr_Oexp_OVal(T_a),V_val) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ).
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_I156_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_exp_Osimps_I55_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ).
cnf(cls_exp_Osimps_I170_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ).
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_length__rotate1_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
cnf(cls_ty_Osplit_36,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_exp_Osimps_I174_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ).
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_ty_Ocase__cong_31,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xd,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xd,V_f5,V_g5,T_a))
| c_Type_Oty_Oty__case(V_xc,V_xb,V_xa,V_x,V_f5,V_xd,T_a) = c_Type_Oty_Oty__case(V_xc,V_xb,V_xa,V_x,V_g5,V_xd,T_a) ) ).
cnf(cls_rotate1__is__Nil__conv_0,axiom,
( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_exp_Osimps_I186_J_0,axiom,
c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ).
cnf(cls_exp_Osimps_I54_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_rotate__simps_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(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) != hAPP(c_Expr_Oexp_OVal(T_a),V_val) ).
cnf(cls_exp_Osimps_I56_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_exp_Osimps_I9_J_0,axiom,
( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
| V_exp = V_exp_H ) ).
cnf(cls_exp_Osimps_I9_J_1,axiom,
( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
| V_list1 = V_list1_H ) ).
cnf(cls_exp_Osimps_I9_J_2,axiom,
( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
| V_list2 = V_list2_H ) ).
cnf(cls_distinct1__rotate_1,axiom,
( c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a)
| ~ c_List_Odistinct(V_xs,T_a) ) ).
cnf(cls_distinct1__rotate_0,axiom,
( c_List_Odistinct(V_xs,T_a)
| ~ c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a) ) ).
cnf(cls_exp_Osimps_I28_J_0,axiom,
c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ).
cnf(cls_exp_Osimps_I29_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ).
cnf(cls_exp_Osimps_I30_J_0,axiom,
c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_exp_Osimps_I81_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != hAPP(c_Expr_Oexp_OVal(T_a),V_val) ).
cnf(cls_exp_Osimps_I171_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ).
cnf(cls_exp_Osimps_I57_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ).
cnf(cls_exp_Osimps_I175_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ).
cnf(cls_exp_Osimps_I157_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ).
cnf(cls_rotate__simps_1,axiom,
c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ).
cnf(cls_ty_Osplit_31,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_26,axiom,
( V_xc = c_Type_Oty_OInteger
| c_Type_Oty_Oty__case(V_xb,V_xa,V_f3,V_x,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_xb,V_xa,V_g3,V_x,V_g5,V_xc,T_a)
| V_xc = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Osplit__asm_31,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit__asm_33,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_28,axiom,
( c_Type_Oty_Oty__case(V_xb,V_xa,V_x,V_f4,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_xb,V_xa,V_x,V_g4,V_g5,V_xc,T_a)
| V_xc = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a))
| V_xc = c_Type_Oty_ONT ) ).
cnf(cls_ty_Osplit_33,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit_27,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_14,axiom,
( V_xc = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_xb,V_xa,V_x,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_g1,V_xb,V_xa,V_x,V_g5,V_xc,T_a)
| V_xc = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Osplit__asm_19,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_19,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_22,axiom,
( V_xc = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_xb,V_f2,V_xa,V_x,V_f5,V_xc,T_a) = c_Type_Oty_Oty__case(V_xb,V_g2,V_xa,V_x,V_g5,V_xc,T_a)
| V_xc = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xc,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Osplit__asm_27,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
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_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_ty_Ocase__cong_25,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_ONT
| V_xb = c_Type_Oty_OInteger
| c_Type_Oty_Oty__case(V_xa,V_x,V_f3,V_f4,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_xa,V_x,V_g3,V_g4,V_g5,V_xb,T_a) ) ).
cnf(cls_ty_Osplit_30,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit__asm_30,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit_24,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_19,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_OInteger
| V_xb = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_xa,V_f2,V_f3,V_x,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_xa,V_g2,V_g3,V_x,V_g5,V_xb,T_a) ) ).
cnf(cls_ty_Osplit__asm_24,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit_16,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_11,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_OInteger
| V_xb = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_xa,V_f3,V_x,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_g1,V_xa,V_g3,V_x,V_g5,V_xb,T_a) ) ).
cnf(cls_ty_Osplit__asm_16,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_18,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_13,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_ONT
| V_xb = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_xa,V_x,V_f4,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_g1,V_xa,V_x,V_g4,V_g5,V_xb,T_a) ) ).
cnf(cls_ty_Osplit_18,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_26,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_21,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_ONT
| V_xb = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_xa,V_f2,V_x,V_f4,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_xa,V_g2,V_x,V_g4,V_g5,V_xb,T_a) ) ).
cnf(cls_ty_Osplit_26,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit__asm_12,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_12,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_7,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_OBoolean
| V_xb = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_xa,V_x,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_xa,V_x,V_g5,V_xb,T_a) ) ).
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_WTrtCallNT_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ) ).
cnf(cls_WTCall_0,axiom,
( c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_List_Olist__all2(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_Ts_H,V_Ts,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(V_P,V_E,V_es,V_Ts_H)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_Ts,V_T,c_Pair(V_pns,V_body,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),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_WTrt_H__WTrts_H_Ointros_I12_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_List_Olist__all2(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_Ts_H,V_Ts,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(V_P,V_h,V_E,V_es,V_Ts_H)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_Ts,V_T,c_Pair(V_pns,V_body,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),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_ty_Ocase__cong_24,axiom,
( c_Type_Oty_Oty__case(V_xa,V_x,V_f3,V_f4,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_xa,V_x,V_g3,V_g4,V_g5,V_xb,T_a)
| V_xb = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_ONT
| V_xb = c_Type_Oty_OInteger ) ).
cnf(cls_ty_Osplit_29,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit_23,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_18,axiom,
( V_xb = c_Type_Oty_OInteger
| V_xb = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_xa,V_f2,V_f3,V_x,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_xa,V_g2,V_g3,V_x,V_g5,V_xb,T_a)
| V_xb = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Osplit__asm_15,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_15,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_10,axiom,
( V_xb = c_Type_Oty_OInteger
| V_xb = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_xa,V_f3,V_x,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_g1,V_xa,V_g3,V_x,V_g5,V_xb,T_a)
| V_xb = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Osplit__asm_23,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit__asm_25,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_12,axiom,
( V_xb = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_xa,V_x,V_f4,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_g1,V_xa,V_x,V_g4,V_g5,V_xb,T_a)
| V_xb = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_ONT ) ).
cnf(cls_ty_Osplit_17,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_17,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_20,axiom,
( V_xb = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_xa,V_f2,V_x,V_f4,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_xa,V_g2,V_x,V_g4,V_g5,V_xb,T_a)
| V_xb = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a))
| V_xb = c_Type_Oty_ONT ) ).
cnf(cls_ty_Osplit_25,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit__asm_11,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_11,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_6,axiom,
( V_xb = c_Type_Oty_OBoolean
| V_xb = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_xa,V_x,V_f5,V_xb,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_xa,V_x,V_g5,V_xb,T_a)
| V_xb = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xb,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Ocase__cong_17,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_ONT
| V_xa = c_Type_Oty_OInteger
| V_xa = c_Type_Oty_OBoolean
| c_Type_Oty_Oty__case(V_x,V_f2,V_f3,V_f4,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_x,V_g2,V_g3,V_g4,V_g5,V_xa,T_a) ) ).
cnf(cls_ty_Osplit__asm_14,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_14,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_22,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_9,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_ONT
| V_xa = c_Type_Oty_OInteger
| V_xa = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_x,V_f3,V_f4,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_g1,V_x,V_g3,V_g4,V_g5,V_xa,T_a) ) ).
cnf(cls_ty_Osplit_22,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_3,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_OInteger
| V_xa = c_Type_Oty_OBoolean
| V_xa = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_x,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_g3,V_x,V_g5,V_xa,T_a) ) ).
cnf(cls_ty_Osplit__asm_8,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_8,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_10,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_10,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_5,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_ONT
| V_xa = c_Type_Oty_OBoolean
| V_xa = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_x,V_f4,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_x,V_g4,V_g5,V_xa,T_a) ) ).
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_length__vs_0,axiom,
c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) ).
cnf(cls_RedCall_I3_J_0,axiom,
c_Nat_Osize__class_Osize(v_vs____,tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(v_pns____,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) ).
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_ty_Osplit_21,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Ocase__cong_8,axiom,
( V_xa = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_x,V_f3,V_f4,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_g1,V_x,V_g3,V_g4,V_g5,V_xa,T_a)
| V_xa = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_ONT
| V_xa = c_Type_Oty_OInteger ) ).
cnf(cls_ty_Osplit__asm_13,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_13,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| ~ hBOOL(hAPP(V_P,V_f2))
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_16,axiom,
( c_Type_Oty_Oty__case(V_x,V_f2,V_f3,V_f4,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_x,V_g2,V_g3,V_g4,V_g5,V_xa,T_a)
| V_xa = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_ONT
| V_xa = c_Type_Oty_OInteger
| V_xa = c_Type_Oty_OBoolean ) ).
cnf(cls_ty_Osplit__asm_21,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| ~ hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_ty_Osplit_7,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_7,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| ~ hBOOL(hAPP(V_P,V_f4))
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_2,axiom,
( V_xa = c_Type_Oty_OInteger
| V_xa = c_Type_Oty_OBoolean
| V_xa = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_x,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_g3,V_x,V_g5,V_xa,T_a)
| V_xa = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a)) ) ).
cnf(cls_ty_Ocase__cong_4,axiom,
( V_xa = c_Type_Oty_OBoolean
| V_xa = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_x,V_f4,V_f5,V_xa,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_x,V_g4,V_g5,V_xa,T_a)
| V_xa = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_xa,V_f5,V_g5,T_a))
| V_xa = c_Type_Oty_ONT ) ).
cnf(cls_ty_Osplit__asm_9,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_9,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| ~ hBOOL(hAPP(V_P,V_f3))
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_default__val_Oinduct_0,axiom,
( hBOOL(hAPP(V_P,V_ty))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OClass(v_sko__Value__Xdefault__val__Xinduct__1(V_P))))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_ONT))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OInteger))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OBoolean))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OVoid)) ) ).
cnf(cls_ty_Onchotomy_0,axiom,
( V_v = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xnchotomy__1__1(V_v))
| V_v = c_Type_Oty_ONT
| V_v = c_Type_Oty_OInteger
| V_v = c_Type_Oty_OBoolean
| V_v = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Oinduct_0,axiom,
( hBOOL(hAPP(V_P,V_ty))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OClass(v_sko__Type__Xty__Xinduct__1(V_P))))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_ONT))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OInteger))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OBoolean))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OVoid)) ) ).
cnf(cls_ty_Oexhaust_0,axiom,
( V_y = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xexhaust__1__1(V_y))
| V_y = c_Type_Oty_ONT
| V_y = c_Type_Oty_OInteger
| V_y = c_Type_Oty_OBoolean
| V_y = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Oinducts_0,axiom,
( hBOOL(hAPP(V_P,V_ty))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OClass(v_sko__Type__Xty__Xinducts__1(V_P))))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_ONT))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OInteger))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OBoolean))
| ~ hBOOL(hAPP(V_P,c_Type_Oty_OVoid)) ) ).
cnf(cls_ty_Osplit__asm_6,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_6,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| ~ hBOOL(hAPP(V_P,hAPP(V_f5,v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Ocase__cong_1,axiom,
( hAPP(V_f5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_x,V_f5,V_g5,T_a)) != hAPP(V_g5,c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_x,V_f5,V_g5,T_a))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid
| c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_g3,V_g4,V_g5,V_x,T_a) ) ).
cnf(cls_rotate1__hd__tl_0,axiom,
( c_List_Orotate1(V_xs,T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
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_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_ty_Ocase__cong_0,axiom,
( c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,T_a) = c_Type_Oty_Oty__case(V_g1,V_g2,V_g3,V_g4,V_g5,V_x,T_a)
| V_x = c_Type_Oty_OClass(c_Type_Osko__Type__Xty__Xcase__cong__1__1(V_x,V_f5,V_g5,T_a))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit_5,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_ty_Osplit__asm_5,axiom,
( hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_x,t_a)))
| V_x = c_Type_Oty_OClass(v_sko__Type__Xty__Xsplit__asm__1(V_P,V_f5,V_x))
| V_x = c_Type_Oty_ONT
| V_x = c_Type_Oty_OInteger
| V_x = c_Type_Oty_OBoolean
| V_x = c_Type_Oty_OVoid ) ).
cnf(cls_WTrtCall_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_List_Olist__all2(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_Ts_H,V_Ts,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts_H)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_Ts,V_T,c_Pair(V_pns,V_body,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),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_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_distinct__dropWhile_0,axiom,
( c_List_Odistinct(c_List_OdropWhile(V_P,V_xs,T_a),T_a)
| ~ c_List_Odistinct(V_xs,T_a) ) ).
cnf(cls_map__upd__nonempty_0,axiom,
c_Fun_Ofun__upd(V_t,V_k,c_Option_Ooption_OSome(V_x,T_b),T_a,tc_Option_Ooption(T_b)) != c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I2_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OCast(V_C,V_e,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(V_C))
| ~ c_Decl_Ois__class(V_P,V_C,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Type_Ois__refT(V_T)
| ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_map__filter__conv_0,axiom,
c_List_Omap__filter(V_f,V_P,V_xs,T_b,T_a) = c_List_Omap(V_f,c_List_Ofilter(V_P,V_xs,T_b),T_b,T_a) ).
cnf(cls_map__upd__Some__unfold_0,axiom,
( hAPP(c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_b,T_a),T_b,tc_Option_Ooption(T_a)),V_x) != c_Option_Ooption_OSome(V_y,T_a)
| hAPP(V_m,V_x) = c_Option_Ooption_OSome(V_y,T_a)
| V_x = V_a ) ).
cnf(cls_map__upd__Some__unfold_2,axiom,
( hAPP(c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_b,T_a),T_b,tc_Option_Ooption(T_a)),V_x) != c_Option_Ooption_OSome(V_y,T_a)
| hAPP(V_m,V_x) = c_Option_Ooption_OSome(V_y,T_a)
| V_b = V_y ) ).
cnf(cls_map__upd__Some__unfold_4,axiom,
( hAPP(V_m,V_x) != c_Option_Ooption_OSome(V_y,T_a)
| V_x = V_a
| hAPP(c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_b,T_a),T_b,tc_Option_Ooption(T_a)),V_x) = c_Option_Ooption_OSome(V_y,T_a) ) ).
cnf(cls_map__le__refl_0,axiom,
c_Map_Omap__le(V_f,V_f,T_a,T_b) ).
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_wt__env__mono_0,axiom,
( c_WellType_OWT(V_P,V_E_H,V_e,V_T)
| ~ c_Map_Omap__le(V_E,V_E_H,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| ~ c_WellType_OWT(V_P,V_E,V_e,V_T) ) ).
cnf(cls_WTNew_0,axiom,
( c_WellType_OWT(V_P,V_E,c_Expr_Oexp_Onew(V_C,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(V_C))
| ~ c_Decl_Ois__class(V_P,V_C,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ).
cnf(cls_WT__elim__cases_I6_J_0,axiom,
( V_T = c_Type_Oty_OClass(V_D)
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OCast(V_D,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_ty_Osimps_I2_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean ).
cnf(cls_WTrt__elim__cases_I10_J_1,axiom,
( c_Decl_Ois__class(V_P,V_C,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_Onew(V_C,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_exp_Osimps_I19_J_0,axiom,
hAPP(c_Expr_Oexp_OVal(T_a),V_val_H) != c_Expr_Oexp_Onew(V_list,T_a) ).
cnf(cls_foldr__append_0,axiom,
c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
cnf(cls_WT__elim__cases_I6_J_2,axiom,
( c_Decl_Ois__class(V_P,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,c_Expr_Oexp_OCast(V_D,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_Nil__is__map__conv_0,axiom,
( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
| V_xs = c_List_Olist_ONil(T_b) ) ).
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,c_Option_Ooption_OSome(V_y,T_b),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_exp_Osimps_I160_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ).
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_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_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_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_option_Osimps_I3_J_0,axiom,
c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ).
cnf(cls_not__None__eq_1,axiom,
c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ).
cnf(cls_option_Oinject_0,axiom,
( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
| V_a = V_a_H ) ).
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_exp_Osimps_I18_J_0,axiom,
c_Expr_Oexp_Onew(V_list,T_a) != hAPP(c_Expr_Oexp_OVal(T_a),V_val_H) ).
cnf(cls_list__all2__def_0,axiom,
( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| ~ c_List_Olist__all2(V_P,V_xs,V_ys,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_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_foldl__Nil_0,axiom,
c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
cnf(cls_Nil__is__append__conv_0,axiom,
( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_Nil__is__append__conv_1,axiom,
( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
| V_ys = c_List_Olist_ONil(T_a) ) ).
cnf(cls_exp_Osimps_I44_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != hAPP(c_Expr_Oexp_OVal(T_a),V_val_H) ).
cnf(cls_dropWhile__eq__Cons__conv_0,axiom,
( c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
| V_xs = c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ) ).
cnf(cls_dropWhile__eq__Cons__conv_2,axiom,
( V_xs != c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
| c_List_OdropWhile(V_P,V_xs,T_a) = c_List_Olist_OCons(V_y,V_ys,T_a)
| hBOOL(hAPP(V_P,V_y)) ) ).
cnf(cls_append__is__Nil__conv_0,axiom,
( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_length__map_0,axiom,
c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) ).
cnf(cls_ty_Osimps_I24_J_0,axiom,
c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OInteger,T_a) = V_f3 ).
cnf(cls_dropWhile_Osimps_I1_J_0,axiom,
c_List_OdropWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_ty_Osimps_I25_J_0,axiom,
c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_ONT,T_a) = V_f4 ).
cnf(cls_distinct__append_1,axiom,
( c_List_Odistinct(V_ys,T_a)
| ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
cnf(cls_distinct__append_0,axiom,
( c_List_Odistinct(V_xs,T_a)
| ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
cnf(cls_self__append__conv2_1,axiom,
V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
cnf(cls_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
cnf(cls_self__append__conv_1,axiom,
V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_eq__Nil__appendI_0,axiom,
V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
cnf(cls_append__Nil2_0,axiom,
c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
cnf(cls_exp_Osimps_I17_J_0,axiom,
c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ).
cnf(cls_same__append__eq_0,axiom,
( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
| V_ys = V_zs ) ).
cnf(cls_append__same__eq_0,axiom,
( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
| V_ys = V_zs ) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I1_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_Onew(V_C,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(V_C))
| ~ c_Decl_Ois__class(V_P,V_C,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ).
cnf(cls_ty_Osimps_I16_J_0,axiom,
c_Type_Oty_OInteger != c_Type_Oty_ONT ).
cnf(cls_WTrtCast_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OCast(V_C,V_e,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(V_C))
| ~ c_Decl_Ois__class(V_P,V_C,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Type_Ois__refT(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_sees__method__is__class_0,axiom,
( c_Decl_Ois__class(V_P,V_C,T_a)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_Ts,V_T,V_m,V_D,T_a) ) ).
cnf(cls_list__all_Osimps_I1_J_0,axiom,
c_List_Olist__all(V_P,c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_takeWhile_Osimps_I2_J_1,axiom,
( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_list__ex_Osimps_I1_J_0,axiom,
~ c_List_Olist__ex(V_P,c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_empty__null_0,axiom,
c_List_Onull(c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_list_Osplit_0,axiom,
( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_map__upd__Some__unfold_1,axiom,
( V_b = V_y
| hAPP(c_Fun_Ofun__upd(V_m,V_x,c_Option_Ooption_OSome(V_b,T_aa),T_a,tc_Option_Ooption(T_aa)),V_x) != c_Option_Ooption_OSome(V_y,T_aa) ) ).
cnf(cls_exp_Osimps_I52_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_COMBI__def_0,axiom,
c_COMBI(V_P,T_a) = V_P ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
cnf(cls_foldr_Osimps_I1_J_0,axiom,
c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
cnf(cls_map__is__Nil__conv_1,axiom,
c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_ty_Osimps_I13_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean ).
cnf(cls_removeAll__filter__not_0,axiom,
( c_List_OremoveAll(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ).
cnf(cls_option_Osimps_I2_J_0,axiom,
c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ).
cnf(cls_list_Orecs_I1_J_0,axiom,
c_List_Olist_Olist__rec(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b) = V_f1 ).
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_exp_Osimps_I77_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != hAPP(c_Expr_Oexp_OVal(T_a),V_val) ).
cnf(cls_sorted_Osimps_I1_J_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
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_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_ty_Orecs_I3_J_0,axiom,
c_Type_Oty_Oty__rec(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OInteger,T_a) = V_f3 ).
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_list__all2__appendI_0,axiom,
( c_List_Olist__all2(V_P,c_List_Oappend(V_a,V_c,T_a),c_List_Oappend(V_b,V_d,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_c,V_d,T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_a,V_b,T_a,T_b) ) ).
cnf(cls_list__all2__append2_5,axiom,
( c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_zs,tc_List_Olist(T_b))
| c_Nat_Osize__class_Osize(V_x,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| c_List_Olist__all2(V_P,c_List_Oappend(V_x,V_xa,T_a),c_List_Oappend(V_ys,V_zs,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_xa,V_zs,T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_x,V_ys,T_a,T_b) ) ).
cnf(cls_list__all2__append1_5,axiom,
( c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_b)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))
| c_Nat_Osize__class_Osize(V_x,tc_List_Olist(T_b)) != c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
| c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_ys,T_a),c_List_Oappend(V_x,V_xa,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_ys,V_xa,T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_xs,V_x,T_a,T_b) ) ).
cnf(cls_map__add__SomeD_1,axiom,
( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_OSome(V_x,T_a)
| hAPP(V_m,V_k) = c_Option_Ooption_OSome(V_x,T_a)
| hAPP(V_n,V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
cnf(cls_hd__dropWhile_0,axiom,
( ~ hBOOL(hAPP(V_P,c_List_Ohd(c_List_OdropWhile(V_P,V_xs,T_a),T_a)))
| c_List_OdropWhile(V_P,V_xs,T_a) = c_List_Olist_ONil(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_map__add__Some__iff_3,axiom,
( hAPP(V_m,V_k) != c_Option_Ooption_OSome(V_x,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_OSome(V_x,T_a) ) ).
cnf(cls_distinct__filter_0,axiom,
( c_List_Odistinct(c_List_Ofilter(V_P,V_xs,T_a),T_a)
| ~ c_List_Odistinct(V_xs,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__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_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_filter_Osimps_I1_J_0,axiom,
c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_WTrts__hext__mono_0,axiom,
( c_WellTypeRT_OWTrts(V_P,V_h_H,V_E,V_es,V_Ts)
| ~ c_Objects_Ohext(V_h,V_h_H)
| ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts) ) ).
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_hext__refl_0,axiom,
c_Objects_Ohext(V_h,V_h) ).
cnf(cls_sorted__takeWhile_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
| ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
cnf(cls_exp_Osimps_I1_J_0,axiom,
( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_Onew(V_list_H,T_a)
| V_list = V_list_H ) ).
cnf(cls_ty_Osimps_I4_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OInteger ).
cnf(cls_exp_Osimps_I16_J_0,axiom,
c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a) ).
cnf(cls_ty_Osimps_I11_J_0,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean ).
cnf(cls_remove1_Osimps_I1_J_0,axiom,
c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_exp_Osimps_I26_J_0,axiom,
c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_ty_Osimps_I23_J_0,axiom,
c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OBoolean,T_a) = V_f2 ).
cnf(cls_exp_Osimps_I2_J_0,axiom,
( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a)
| V_list = V_list_H ) ).
cnf(cls_exp_Osimps_I2_J_1,axiom,
( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a)
| V_exp = V_exp_H ) ).
cnf(cls_ty_Osimps_I12_J_0,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_ONT ).
cnf(cls_exp_Osimps_I27_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ).
cnf(cls_ty_Osimps_I6_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_ONT ).
cnf(cls_list_Osimps_I4_J_0,axiom,
c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b) = V_f1 ).
cnf(cls_hd__append_1,axiom,
( c_List_Ohd(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Ohd(V_xs,T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_is__refT__def_1,axiom,
c_Type_Ois__refT(c_Type_Oty_ONT) ).
cnf(cls_ty_Osplit_1,axiom,
( ~ hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OBoolean,t_a)))
| hBOOL(hAPP(V_P,V_f2)) ) ).
cnf(cls_list__all2__append_2,axiom,
( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_us,T_a),c_List_Oappend(V_ys,V_vs,T_b),T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_us,V_vs,T_a,T_b)
| ~ c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b) ) ).
cnf(cls_ty_Osplit_0,axiom,
( ~ hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OVoid,t_a)))
| hBOOL(hAPP(V_P,V_f1)) ) ).
cnf(cls_exp_Osimps_I85_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != hAPP(c_Expr_Oexp_OVal(T_a),V_val) ).
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_exp_Osimps_I11_J_0,axiom,
( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
| V_exp1 = V_exp1_H ) ).
cnf(cls_exp_Osimps_I11_J_1,axiom,
( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
| V_exp2 = V_exp2_H ) ).
cnf(cls_map__add__find__right_0,axiom,
( hAPP(V_n,V_k) != c_Option_Ooption_OSome(V_xx,T_a)
| hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_OSome(V_xx,T_a) ) ).
cnf(cls_map__add__Some__iff_2,axiom,
( hAPP(V_n,V_k) != c_Option_Ooption_OSome(V_x,T_a)
| hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
cnf(cls_Cons__eq__append__conv_4,axiom,
c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
cnf(cls_Nil__is__map__conv_1,axiom,
c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
cnf(cls_Nil__is__append__conv_2,axiom,
c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
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_list__all__append_2,axiom,
( c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a)
| ~ c_List_Olist__all(V_P,V_ys,T_a)
| ~ c_List_Olist__all(V_P,V_xs,T_a) ) ).
cnf(cls_sorted_Osimps_I2_J_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
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_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_listrelp_ONil_0,axiom,
c_List_Olistrelp(V_r,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_exp_Osimps_I61_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ).
cnf(cls_distinct__takeWhile_0,axiom,
( c_List_Odistinct(c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
| ~ c_List_Odistinct(V_xs,T_a) ) ).
cnf(cls_foldl__append_0,axiom,
c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
cnf(cls_filter__append_0,axiom,
c_List_Ofilter(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Ofilter(V_P,V_xs,T_a),c_List_Ofilter(V_P,V_ys,T_a),T_a) ).
cnf(cls_not__refTE_0,axiom,
( V_T = c_Type_Oty_OInteger
| V_T = c_Type_Oty_OBoolean
| V_T = c_Type_Oty_OVoid
| c_Type_Ois__refT(V_T) ) ).
cnf(cls_sees__method__idemp_0,axiom,
( c_TypeRel_OMethod(V_P,V_D,V_M,V_Ts,V_T,V_m,V_D,T_a)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_Ts,V_T,V_m,V_D,T_a) ) ).
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_append__is__Nil__conv_1,axiom,
( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
| V_ys = c_List_Olist_ONil(T_a) ) ).
cnf(cls_map__eq__imp__length__eq_0,axiom,
( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a)
| c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ).
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_fun__upds__append__drop_0,axiom,
( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| c_Map_Omap__upds(V_m,c_List_Oappend(V_xs,V_zs,T_a),V_ys,T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b) ) ).
cnf(cls_fun__upds__append2__drop_0,axiom,
( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| c_Map_Omap__upds(V_m,V_xs,c_List_Oappend(V_ys,V_zs,T_b),T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,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_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_tl__append2_0,axiom,
( c_List_Otl(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),V_ys,T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_distinct__remove1_0,axiom,
( c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a)
| ~ c_List_Odistinct(V_xs,T_a) ) ).
cnf(cls_list__all2__append_0,axiom,
( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
| ~ c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_us,T_a),c_List_Oappend(V_ys,V_vs,T_b),T_a,T_b) ) ).
cnf(cls_list__all2__append_1,axiom,
( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
| c_List_Olist__all2(V_P,V_us,V_vs,T_a,T_b)
| ~ c_List_Olist__all2(V_P,c_List_Oappend(V_xs,V_us,T_a),c_List_Oappend(V_ys,V_vs,T_b),T_a,T_b) ) ).
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_removeAll__append_0,axiom,
c_List_OremoveAll(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_OremoveAll(V_x,V_xs,T_a),c_List_OremoveAll(V_x,V_ys,T_a),T_a) ).
cnf(cls_ty_Osplit_3,axiom,
( ~ hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_ONT,t_a)))
| hBOOL(hAPP(V_P,V_f4)) ) ).
cnf(cls_splice_Osimps_I2_J_1,axiom,
( c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(c_List_Ohd(V_ys,T_a),c_List_Osplice(V_xs,c_List_Otl(V_ys,T_a),T_a),T_a),T_a)
| V_ys = c_List_Olist_ONil(T_a) ) ).
cnf(cls_takeWhile__tail_0,axiom,
( c_List_OtakeWhile(V_P,c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_l,T_a),T_a),T_a) = c_List_OtakeWhile(V_P,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_ty_Osimps_I7_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OVoid ).
cnf(cls_ty_Osimps_I10_J_0,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OInteger ).
cnf(cls_splice_Osimps_I2_J_0,axiom,
c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
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_ty_Orecs_I4_J_0,axiom,
c_Type_Oty_Oty__rec(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_ONT,T_a) = V_f4 ).
cnf(cls_map__append_0,axiom,
c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ).
cnf(cls_List_Omember_Osimps_I1_J_0,axiom,
~ c_List_Omember(V_x,c_List_Olist_ONil(T_a),T_a) ).
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_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_sees__method__fun_0,axiom,
( V_TS_H = V_TS
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS_H,V_T_H,V_m_H,V_D_H,T_a)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS,V_T,V_m,V_D,T_a) ) ).
cnf(cls_sees__method__fun_1,axiom,
( V_T_H = V_T
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS_H,V_T_H,V_m_H,V_D_H,T_a)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS,V_T,V_m,V_D,T_a) ) ).
cnf(cls_sees__method__fun_2,axiom,
( V_m_H = V_m
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS_H,V_T_H,V_m_H,V_D_H,T_a)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS,V_T,V_m,V_D,T_a) ) ).
cnf(cls_sees__method__fun_3,axiom,
( V_D_H = V_D
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS_H,V_T_H,V_m_H,V_D_H,T_a)
| ~ c_TypeRel_OMethod(V_P,V_C,V_M,V_TS,V_T,V_m,V_D,T_a) ) ).
cnf(cls_distinct_Osimps_I1_J_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_distinct__remove1__removeAll_0,axiom,
( c_List_Oremove1(V_x,V_xs,T_a) = c_List_OremoveAll(V_x,V_xs,T_a)
| ~ c_List_Odistinct(V_xs,T_a) ) ).
cnf(cls_remove1__filter__not_0,axiom,
( c_List_Oremove1(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_ty_Osplit_2,axiom,
( ~ hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OInteger,t_a)))
| hBOOL(hAPP(V_P,V_f3)) ) ).
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_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_takeWhile__dropWhile__id_0,axiom,
c_List_Oappend(c_List_OtakeWhile(V_P,V_xs,T_a),c_List_OdropWhile(V_P,V_xs,T_a),T_a) = V_xs ).
cnf(cls_distinct__map_0,axiom,
( c_List_Odistinct(V_xs,T_b)
| ~ c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ) ).
cnf(cls_WT__elim__cases_I10_J_0,axiom,
( V_T = c_Type_Oty_OClass(V_C)
| ~ c_WellType_OWT(V_P,V_E,c_Expr_Oexp_Onew(V_C,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_list__all2__Nil_0,axiom,
( V_ys = c_List_Olist_ONil(T_b)
| ~ c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),V_ys,T_a,T_b) ) ).
cnf(cls_list__all2__Nil2_0,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| ~ c_List_Olist__all2(V_P,V_xs,c_List_Olist_ONil(T_b),T_a,T_b) ) ).
cnf(cls_ty_Osimps_I3_J_0,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid ).
cnf(cls_map__add__SomeD_0,axiom,
( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_OSome(V_x,T_a)
| hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a)
| hAPP(V_n,V_k) = c_Option_Ooption_OSome(V_x,T_a) ) ).
cnf(cls_WT__elim__cases_I10_J_1,axiom,
( c_Decl_Ois__class(V_P,V_C,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,c_Expr_Oexp_Onew(V_C,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_exp_Osimps_I53_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I18_J_0,axiom,
( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OSeq(V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T_092_060_094isub_0622)
| ~ 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,V_T_092_060_094isub_0621) ) ).
cnf(cls_ty_Osimps_I22_J_0,axiom,
c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OVoid,T_a) = V_f1 ).
cnf(cls_map__add__upd_0,axiom,
c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,c_Option_Ooption_OSome(V_y,T_b),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,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b)) ).
cnf(cls_tl_Osimps_I1_J_0,axiom,
c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_splice_Osimps_I1_J_0,axiom,
c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
cnf(cls_splice__Nil2_0,axiom,
c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
cnf(cls_append__self__conv_0,axiom,
( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
| V_ys = c_List_Olist_ONil(T_a) ) ).
cnf(cls_self__append__conv_0,axiom,
( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
| V_ys = c_List_Olist_ONil(T_a) ) ).
cnf(cls_append__self__conv2_0,axiom,
( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_self__append__conv2_0,axiom,
( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
| V_xs = c_List_Olist_ONil(T_a) ) ).
cnf(cls_append__eq__Cons__conv_4,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
cnf(cls_exp_Osimps_I34_J_0,axiom,
c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ).
cnf(cls_takeWhile_Osimps_I1_J_0,axiom,
c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_exp_Osimps_I76_J_0,axiom,
hAPP(c_Expr_Oexp_OVal(T_a),V_val) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ).
cnf(cls_sorted__append_1,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(V_ys,T_a)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
cnf(cls_sorted__append_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(V_xs,T_a)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
cnf(cls_exp_Osimps_I60_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ).
cnf(cls_map__upd__Some__unfold_3,axiom,
hAPP(c_Fun_Ofun__upd(V_m,V_xa,c_Option_Ooption_OSome(V_x,T_a),T_aa,tc_Option_Ooption(T_a)),V_xa) = c_Option_Ooption_OSome(V_x,T_a) ).
cnf(cls_map__upd__triv_0,axiom,
( hAPP(V_t,V_k) != c_Option_Ooption_OSome(V_x,T_a)
| c_Fun_Ofun__upd(V_t,V_k,c_Option_Ooption_OSome(V_x,T_a),T_b,tc_Option_Ooption(T_a)) = V_t ) ).
cnf(cls_exp_Osimps_I35_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ).
cnf(cls_Pair__eq_0,axiom,
( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
| V_a = V_a_H ) ).
cnf(cls_Pair__eq_1,axiom,
( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
| V_b = V_b_H ) ).
cnf(cls_map__filter_Osimps_I1_J_0,axiom,
c_List_Omap__filter(V_f,V_P,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_exp_Osimps_I45_J_0,axiom,
hAPP(c_Expr_Oexp_OVal(T_a),V_val_H) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ).
cnf(cls_ty_Orecs_I2_J_0,axiom,
c_Type_Oty_Oty__rec(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OBoolean,T_a) = V_f2 ).
cnf(cls_WTSeq_0,axiom,
( c_WellType_OWT(V_P,V_E,c_Expr_Oexp_OSeq(V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T_092_060_094isub_0622)
| ~ c_WellType_OWT(V_P,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
| ~ c_WellType_OWT(V_P,V_E,V_e_092_060_094isub_0621,V_T_092_060_094isub_0621) ) ).
cnf(cls_ty_Orecs_I1_J_0,axiom,
c_Type_Oty_Oty__rec(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OVoid,T_a) = V_f1 ).
cnf(cls_removeAll_Osimps_I1_J_0,axiom,
c_List_OremoveAll(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_hd__append_0,axiom,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),T_a) = c_List_Ohd(V_ys,T_a) ).
cnf(cls_ty_Osimps_I17_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OInteger ).
cnf(cls_empty__null_1,axiom,
( V_xs = c_List_Olist_ONil(T_a)
| ~ c_List_Onull(V_xs,T_a) ) ).
cnf(cls_list__all2__Nil_1,axiom,
c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b) ).
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_map__is__Nil__conv_0,axiom,
( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
| V_xs = c_List_Olist_ONil(T_b) ) ).
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_append1__eq__conv_0,axiom,
( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
| V_xs = V_ys ) ).
cnf(cls_append1__eq__conv_1,axiom,
( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
| V_x = V_y ) ).
cnf(cls_list__all__append_0,axiom,
( c_List_Olist__all(V_P,V_xs,T_a)
| ~ c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
cnf(cls_list__all__append_1,axiom,
( c_List_Olist__all(V_P,V_ys,T_a)
| ~ c_List_Olist__all(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
cnf(cls_append__is__Nil__conv_2,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
cnf(cls_map__upd__eqD1_0,axiom,
( c_Fun_Ofun__upd(V_m,V_a,c_Option_Ooption_OSome(V_x,T_b),T_a,tc_Option_Ooption(T_b)) != c_Fun_Ofun__upd(V_n,V_a,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b))
| V_x = V_y ) ).
cnf(cls_exp_Osimps_I84_J_0,axiom,
hAPP(c_Expr_Oexp_OVal(T_a),V_val) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ).
cnf(cls_sorted__dropWhile_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(V_P,V_xs,T_a),T_a)
| ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
cnf(cls_WTrt__elim__cases_I6_J_3,axiom,
( c_Decl_Ois__class(V_P,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_OCast(V_D,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_exp_Osimps_I161_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
cnf(cls_append__eq__appendI_0,axiom,
c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
cnf(cls_append__eq__append__conv2_4,axiom,
c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
cnf(cls_append__eq__append__conv2_5,axiom,
c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
cnf(cls_sorted__remove1_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a)
| ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
cnf(cls_exp_Osimps_I3_J_0,axiom,
( hAPP(c_Expr_Oexp_OVal(T_a),V_val) != hAPP(c_Expr_Oexp_OVal(T_a),V_val_H)
| V_val = V_val_H ) ).
cnf(cls_list_Osplit__asm_1,axiom,
( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_xa,V_xb,t_b),t_a,t_b)))
| hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
cnf(cls_list_Osplit_1,axiom,
( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,t_b),t_a,t_b)))
| hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_a),V_list))) ) ).
cnf(cls_WTrt__elim__cases_I6_J_0,axiom,
( V_T = c_Type_Oty_OClass(V_D)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OCast(V_D,V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_ty_Osimps_I8_J_0,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OClass(V_list_H) ).
cnf(cls_hd_Osimps_0,axiom,
c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_x ).
cnf(cls_filter_Osimps_I2_J_1,axiom,
( c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_List_Omember_Osimps_I2_J_0,axiom,
( c_List_Omember(V_x,V_ys,T_a)
| V_x = V_y
| ~ c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ) ).
cnf(cls_concat_Osimps_I2_J_0,axiom,
c_List_Oconcat(c_List_Olist_OCons(V_x,V_xs,tc_List_Olist(T_a)),T_a) = c_List_Oappend(V_x,c_List_Oconcat(V_xs,T_a),T_a) ).
cnf(cls_list__all_Osimps_I2_J_2,axiom,
( c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
| ~ c_List_Olist__all(V_P,V_xs,T_a)
| ~ hBOOL(hAPP(V_P,V_x)) ) ).
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_RedCall_I5_J_0,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ).
cnf(cls_ty_Osimps_I20_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H) ).
cnf(cls_foldr_Osimps_I2_J_0,axiom,
c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ).
cnf(cls_ty_Osimps_I18_J_0,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OClass(V_list_H) ).
cnf(cls_ty_Osimps_I15_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OBoolean ).
cnf(cls_ty_Osimps_I26_J_0,axiom,
c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OClass(V_list),T_a) = hAPP(V_f5,V_list) ).
cnf(cls_List_Onull_Osimps_I2_J_0,axiom,
~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
cnf(cls_list_Orecs_I2_J_0,axiom,
c_List_Olist_Olist__rec(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b) = hAPP(hAPP(hAPP(V_f2,V_a),V_list),c_List_Olist_Olist__rec(V_f1,V_f2,V_list,T_a,T_b)) ).
cnf(cls_removeAll_Osimps_I2_J_0,axiom,
c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OremoveAll(V_x,V_xs,T_a) ).
cnf(cls_WTrtSeq_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OSeq(V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T_092_060_094isub_0622)
| ~ 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,V_T_092_060_094isub_0621) ) ).
cnf(cls_list_Osimps_I2_J_0,axiom,
c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
cnf(cls_method_0,axiom,
c_TypeRel_OMethod(v_P,v_C____,v_M____,v_Ts____,v_T____,c_Pair(v_pns____,v_body____,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ).
cnf(cls_List_Omember_Osimps_I2_J_1,axiom,
c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) ).
cnf(cls_map__filter_Osimps_I2_J_0,axiom,
( c_List_Omap__filter(V_f,V_P,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__filter(V_f,V_P,V_xs,T_b,T_a),T_a)
| ~ hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_tl_Osimps_I2_J_0,axiom,
c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
cnf(cls_length__pns_0,axiom,
c_Nat_Osize__class_Osize(v_pns____,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) = c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) ).
cnf(cls_dropWhile_Osimps_I2_J_1,axiom,
( c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_WTrtCons_0,axiom,
( c_WellTypeRT_OWTrts(V_P,V_h,V_E,c_List_Olist_OCons(V_e,V_es,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(V_T,V_Ts,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_dropWhile_Osimps_I2_J_0,axiom,
( c_List_OdropWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OdropWhile(V_P,V_xs,T_a)
| ~ hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_List_Omember_Osimps_I2_J_2,axiom,
( c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
| ~ c_List_Omember(V_x,V_ys,T_a) ) ).
cnf(cls_WTrtNew_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_Onew(V_C,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(V_C))
| ~ c_Decl_Ois__class(V_P,V_C,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ).
cnf(cls_splice__Cons__Cons_0,axiom,
c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,c_List_Osplice(V_xs,V_ys,T_a),T_a),T_a) ).
cnf(cls_remove1_Osimps_I2_J_1,axiom,
( c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a)
| V_x = V_y ) ).
cnf(cls_listrelp_OCons_0,axiom,
( c_List_Olistrelp(V_r,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
| ~ c_List_Olistrelp(V_r,V_xs,V_ys,T_a)
| ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
cnf(cls_T_H_HsubT_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_H_H____),v_T____)) ).
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_list__ex_Osimps_I2_J_0,axiom,
( c_List_Olist__ex(V_P,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x))
| ~ c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
cnf(cls_list__ex_Osimps_I2_J_2,axiom,
( c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
| ~ c_List_Olist__ex(V_P,V_xs,T_a) ) ).
cnf(cls_RedCall_I4_J_0,axiom,
c_Nat_Osize__class_Osize(v_Ts____,tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(v_pns____,tc_List_Olist(tc_List_Olist(tc_String_Ochar))) ).
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_WTrt__elim__cases_I10_J_0,axiom,
( V_T = c_Type_Oty_OClass(V_C)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_Onew(V_C,tc_List_Olist(tc_String_Ochar)),V_T) ) ).
cnf(cls_removeAll_Osimps_I2_J_1,axiom,
( c_List_OremoveAll(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_OremoveAll(V_x,V_xs,T_a),T_a)
| V_x = V_y ) ).
cnf(cls_dropWhile__eq__Cons__conv_1,axiom,
( c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
| ~ hBOOL(hAPP(V_P,V_y)) ) ).
cnf(cls_ty_Osimps_I9_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OVoid ).
cnf(cls_list__ex_Osimps_I2_J_1,axiom,
( c_List_Olist__ex(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
| ~ hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_map__filter_Osimps_I2_J_1,axiom,
( c_List_Omap__filter(V_f,V_P,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Omap__filter(V_f,V_P,V_xs,T_b,T_a)
| hBOOL(hAPP(V_P,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_elem_0,axiom,
c_List_OListMem(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
cnf(cls_WTrt__env__mono_0,axiom,
( c_WellTypeRT_OWTrt(V_P,V_h,V_E_H,V_e,V_T)
| ~ c_Map_Omap__le(V_E,V_E_H,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T) ) ).
cnf(cls_ty_Orecs_I5_J_0,axiom,
c_Type_Oty_Oty__rec(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OClass(V_list),T_a) = hAPP(V_f5,V_list) ).
cnf(cls_ty_Osimps_I19_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OInteger ).
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_filter__eq__ConsD_2,axiom,
( c_List_Ofilter(V_P,V_ys,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
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_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_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,c_Option_Ooption_OSome(V_b,T_b),T_a,tc_Option_Ooption(T_b)),V_as,V_bs,T_a,T_b) ).
cnf(cls_ty_Osimps_I14_J_0,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OClass(V_list_H) ).
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_filter_Osimps_I2_J_0,axiom,
( c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)
| ~ hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_wtes_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,c_List_Omap(c_Expr_Oexp_OVal(tc_List_Olist(tc_String_Ochar)),v_vs____,tc_Value_Oval,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),v_Ts_H____) ).
cnf(cls_Cons__eq__filterD_2,axiom,
( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Ofilter(V_P,V_ys,T_a)
| hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_foldl__Cons_0,axiom,
c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
cnf(cls_ty_Osimps_I21_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT ).
cnf(cls_sorted_Osimps_I3_J_1,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
cnf(cls_append__eq__Cons__conv_5,axiom,
c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
cnf(cls_append__Cons_0,axiom,
c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),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_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_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_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_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_list_Osimps_I5_J_0,axiom,
c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b) = hAPP(hAPP(V_f2,V_a),V_list) ).
cnf(cls_remove1_Osimps_I2_J_0,axiom,
c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
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_Cons__eq__append__conv_5,axiom,
c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
cnf(cls_Cons__eq__appendI_0,axiom,
c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
cnf(cls_subs_0,axiom,
c_List_Olist__all2(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_Ts_H____,v_Ts____,tc_Type_Oty,tc_Type_Oty) ).
cnf(cls_neq__Nil__conv_1,axiom,
c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
cnf(cls_ty_Osplit__asm_4,axiom,
( ~ hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OClass(V_xa),t_a)))
| hBOOL(hAPP(V_P,hAPP(V_f5,V_xa))) ) ).
cnf(cls_ty_Osplit_4,axiom,
( ~ hBOOL(hAPP(V_P,c_Type_Oty_Oty__case(V_f1,V_f2,V_f3,V_f4,V_f5,c_Type_Oty_OClass(V_list),t_a)))
| hBOOL(hAPP(V_P,hAPP(V_f5,V_list))) ) ).
cnf(cls_sorted__Cons_0,axiom,
( ~ class_Orderings_Olinorder(T_a)
| c_List_Olinorder__class_Osorted(V_xs,T_a)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
cnf(cls_wtabody_0,axiom,
c_WellType_OWT(v_P,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____) ).
cnf(cls_map__upds__Nil2_0,axiom,
c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b) = V_m ).
cnf(cls_map__upds__Nil1_0,axiom,
c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m ).
cnf(cls_takeWhile_Osimps_I2_J_0,axiom,
( c_List_OtakeWhile(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_OtakeWhile(V_P,V_xs,T_a),T_a)
| ~ hBOOL(hAPP(V_P,V_x)) ) ).
cnf(cls_list__all_Osimps_I2_J_1,axiom,
( c_List_Olist__all(V_P,V_xs,T_a)
| ~ c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
cnf(cls_COMBI__def__raw_0,axiom,
c_COMBI(v_P,t_a) = v_P ).
cnf(cls_list__all_Osimps_I2_J_0,axiom,
( hBOOL(hAPP(V_P,V_x))
| ~ c_List_Olist__all(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
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_is__refT__def_2,axiom,
c_Type_Ois__refT(c_Type_Oty_OClass(V_x)) ).
cnf(cls_insert_0,axiom,
( c_List_OListMem(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a)
| ~ c_List_OListMem(V_x,V_xs,T_a) ) ).
cnf(cls_distinct_Osimps_I2_J_1,axiom,
( c_List_Odistinct(V_xs,T_a)
| ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
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_CHAINED_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(c_COMBK(c_Option_Ooption_ONone(tc_Type_Oty),tc_Option_Ooption(tc_Type_Oty),tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,c_Map_Omap__upds(v_E____,c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Type_Oty),v_body____,v_T_H_H____) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat) ).
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)) ) ).
%------------------------------------------------------------------------------