ITP001 Axioms: ITP061_7.ax
%------------------------------------------------------------------------------
% File : ITP061_7 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : Past_Temporal_Logic.ax [Gau19]
% : HL4061_7.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 201 ( 50 unt; 92 typ; 0 def)
% Number of atoms : 1916 ( 369 equ)
% Maximal formula atoms : 153 ( 9 avg)
% Number of connectives : 2100 ( 293 ~; 185 |; 653 &)
% ( 550 <=>; 419 =>; 0 <=; 0 <~>)
% Maximal formula depth : 213 ( 16 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 106 ( 53 >; 53 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 89 ( 89 usr; 30 con; 0-4 aty)
% Number of variables : 1901 (1877 !; 8 ?;1901 :)
% ( 16 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TF1_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $tType ).
tff(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: $tType ).
tff(app_2E2,type,
app_2E2:
!>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Emin_2Efun(A_27a,A_27b) * A_27a ) > A_27b ) ).
tff(p,type,
p: tyop_2Emin_2Ebool > $o ).
tff(combin_i_2E0,type,
combin_i_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(A_27a,A_27a) ).
tff(combin_k_2E0,type,
combin_k_2E0:
!>[A_27a: $tType,A_27b: $tType] : tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)) ).
tff(combin_s_2E0,type,
combin_s_2E0:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))) ).
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1:
!>[A_27a: $tType] : ( tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: tyop_2Enum_2Enum ).
tff(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)) ).
tff(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2:
!>[A_27a: $tType] : ( ( A_27a * A_27a ) > tyop_2Emin_2Ebool ) ).
tff(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1:
!>[A_27a: $tType] : ( tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(c_2ETemporal__Logic_2EALWAYS_2E0,type,
c_2ETemporal__Logic_2EALWAYS_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2ETemporal__Logic_2EALWAYS_2E1,type,
c_2ETemporal__Logic_2EALWAYS_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2EALWAYS_2E2,type,
c_2ETemporal__Logic_2EALWAYS_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2EBEFORE_2E0,type,
c_2ETemporal__Logic_2EBEFORE_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2ETemporal__Logic_2EBEFORE_2E2,type,
c_2ETemporal__Logic_2EBEFORE_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2EBEFORE_2E3,type,
c_2ETemporal__Logic_2EBEFORE_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))) ).
tff(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3:
!>[A_27a: $tType] : ( ( tyop_2Emin_2Ebool * A_27a * A_27a ) > A_27a ) ).
tff(c_2ETemporal__Logic_2EEVENTUAL_2E0,type,
c_2ETemporal__Logic_2EEVENTUAL_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2ETemporal__Logic_2EEVENTUAL_2E1,type,
c_2ETemporal__Logic_2EEVENTUAL_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2EEVENTUAL_2E2,type,
c_2ETemporal__Logic_2EEVENTUAL_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EInitPoint_2E0,type,
c_2EPast__Temporal__Logic_2EInitPoint_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EInitPoint_2E1,type,
c_2EPast__Temporal__Logic_2EInitPoint_2E1: tyop_2Enum_2Enum > tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2ENEXT_2E0,type,
c_2ETemporal__Logic_2ENEXT_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2ETemporal__Logic_2ENEXT_2E1,type,
c_2ETemporal__Logic_2ENEXT_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2ENEXT_2E2,type,
c_2ETemporal__Logic_2ENEXT_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPALWAYS_2E0,type,
c_2EPast__Temporal__Logic_2EPALWAYS_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2EPast__Temporal__Logic_2EPALWAYS_2E1,type,
c_2EPast__Temporal__Logic_2EPALWAYS_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPALWAYS_2E2,type,
c_2EPast__Temporal__Logic_2EPALWAYS_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPBEFORE_2E0,type,
c_2EPast__Temporal__Logic_2EPBEFORE_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2EPast__Temporal__Logic_2EPBEFORE_2E2,type,
c_2EPast__Temporal__Logic_2EPBEFORE_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPBEFORE_2E3,type,
c_2EPast__Temporal__Logic_2EPBEFORE_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E0,type,
c_2EPast__Temporal__Logic_2EPEVENTUAL_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1,type,
c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2,type,
c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPNEXT_2E0,type,
c_2EPast__Temporal__Logic_2EPNEXT_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2EPast__Temporal__Logic_2EPNEXT_2E1,type,
c_2EPast__Temporal__Logic_2EPNEXT_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPNEXT_2E2,type,
c_2EPast__Temporal__Logic_2EPNEXT_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Eprim__rec_2EPRE_2E0,type,
c_2Eprim__rec_2EPRE_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum) ).
tff(c_2Eprim__rec_2EPRE_2E1,type,
c_2Eprim__rec_2EPRE_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
tff(c_2EPast__Temporal__Logic_2EPSBEFORE_2E0,type,
c_2EPast__Temporal__Logic_2EPSBEFORE_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2,type,
c_2EPast__Temporal__Logic_2EPSBEFORE_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3,type,
c_2EPast__Temporal__Logic_2EPSBEFORE_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPSNEXT_2E0,type,
c_2EPast__Temporal__Logic_2EPSNEXT_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2EPast__Temporal__Logic_2EPSNEXT_2E1,type,
c_2EPast__Temporal__Logic_2EPSNEXT_2E1: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPSNEXT_2E2,type,
c_2EPast__Temporal__Logic_2EPSNEXT_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPSUNTIL_2E0,type,
c_2EPast__Temporal__Logic_2EPSUNTIL_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2,type,
c_2EPast__Temporal__Logic_2EPSUNTIL_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3,type,
c_2EPast__Temporal__Logic_2EPSUNTIL_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPSWHEN_2E0,type,
c_2EPast__Temporal__Logic_2EPSWHEN_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2EPast__Temporal__Logic_2EPSWHEN_2E2,type,
c_2EPast__Temporal__Logic_2EPSWHEN_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPSWHEN_2E3,type,
c_2EPast__Temporal__Logic_2EPSWHEN_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPUNTIL_2E0,type,
c_2EPast__Temporal__Logic_2EPUNTIL_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2EPast__Temporal__Logic_2EPUNTIL_2E2,type,
c_2EPast__Temporal__Logic_2EPUNTIL_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPUNTIL_2E3,type,
c_2EPast__Temporal__Logic_2EPUNTIL_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2EPast__Temporal__Logic_2EPWHEN_2E0,type,
c_2EPast__Temporal__Logic_2EPWHEN_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2EPast__Temporal__Logic_2EPWHEN_2E2,type,
c_2EPast__Temporal__Logic_2EPWHEN_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2EPast__Temporal__Logic_2EPWHEN_2E3,type,
c_2EPast__Temporal__Logic_2EPWHEN_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2ESBEFORE_2E0,type,
c_2ETemporal__Logic_2ESBEFORE_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2ETemporal__Logic_2ESBEFORE_2E2,type,
c_2ETemporal__Logic_2ESBEFORE_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2ESBEFORE_2E3,type,
c_2ETemporal__Logic_2ESBEFORE_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2ESUNTIL_2E0,type,
c_2ETemporal__Logic_2ESUNTIL_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2ETemporal__Logic_2ESUNTIL_2E2,type,
c_2ETemporal__Logic_2ESUNTIL_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2ESUNTIL_2E3,type,
c_2ETemporal__Logic_2ESUNTIL_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2ESWHEN_2E0,type,
c_2ETemporal__Logic_2ESWHEN_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2ETemporal__Logic_2ESWHEN_2E2,type,
c_2ETemporal__Logic_2ESWHEN_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2ESWHEN_2E3,type,
c_2ETemporal__Logic_2ESWHEN_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2EUNTIL_2E0,type,
c_2ETemporal__Logic_2EUNTIL_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2ETemporal__Logic_2EUNTIL_2E2,type,
c_2ETemporal__Logic_2EUNTIL_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2EUNTIL_2E3,type,
c_2ETemporal__Logic_2EUNTIL_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2ETemporal__Logic_2EWHEN_2E0,type,
c_2ETemporal__Logic_2EWHEN_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))) ).
tff(c_2ETemporal__Logic_2EWHEN_2E2,type,
c_2ETemporal__Logic_2EWHEN_2E2: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) ).
tff(c_2ETemporal__Logic_2EWHEN_2E3,type,
c_2ETemporal__Logic_2EWHEN_2E3: ( tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool) * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(thm_2Eextra_2Dho_2Eeq__ext,axiom,
! [A_27a: $tType,A_27b: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0: tyop_2Emin_2Efun(A_27a,A_27b)] :
( ! [V2x_2E0: A_27a] : ( app_2E2(A_27a,A_27b,V0f_2E0,V2x_2E0) = app_2E2(A_27a,A_27b,V1g_2E0,V2x_2E0) )
=> ( V0f_2E0 = V1g_2E0 ) ) ).
tff(thm_2Eextra_2Dho_2Eboolext,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( ( p(V0_2E0)
<=> p(V1_2E0) )
=> ( V0_2E0 = V1_2E0 ) ) ).
tff(thm_2Eextra_2Dho_2Etruth,axiom,
p(c_2Ebool_2ET_2E0) ).
tff(thm_2Eextra_2Dho_2Enotfalse,axiom,
~ p(c_2Ebool_2EF_2E0) ).
tff(thm_2Eextra_2Dho_2Ebool__cases__ax,axiom,
! [V0t_2E0: tyop_2Emin_2Ebool] :
( ( V0t_2E0 = c_2Ebool_2ET_2E0 )
| ( V0t_2E0 = c_2Ebool_2EF_2E0 ) ) ).
tff(thm_2Eextra_2Dho_2Ei__thm,axiom,
! [A_27a: $tType,V0x_2E0: A_27a] : ( app_2E2(A_27a,A_27a,combin_i_2E0(A_27a),V0x_2E0) = V0x_2E0 ) ).
tff(thm_2Eextra_2Dho_2Ek__thm,axiom,
! [A_27a: $tType,A_27b: $tType,V0x_2E0: A_27a,V1y_2E0: A_27b] : ( app_2E2(A_27b,A_27a,app_2E2(A_27a,tyop_2Emin_2Efun(A_27b,A_27a),combin_k_2E0(A_27a,A_27b),V0x_2E0),V1y_2E0) = V0x_2E0 ) ).
tff(thm_2Eextra_2Dho_2Es__thm,axiom,
! [A_27a: $tType,A_27b: $tType,A_27c: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1g_2E0: tyop_2Emin_2Efun(A_27a,A_27b),V2x_2E0: A_27a] : ( app_2E2(A_27a,A_27c,app_2E2(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),combin_s_2E0(A_27a,A_27b,A_27c),V0f_2E0),V1g_2E0),V2x_2E0) = app_2E2(A_27b,A_27c,app_2E2(A_27a,tyop_2Emin_2Efun(A_27b,A_27c),V0f_2E0,V2x_2E0),app_2E2(A_27a,A_27b,V1g_2E0,V2x_2E0)) ) ).
tff(logicdef_2E_2F_5C,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2E_2F_5C_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
& p(V1_2E0) ) ) ).
tff(logicdef_2E_5C_2F,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2E_5C_2F_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
| p(V1_2E0) ) ) ).
tff(logicdef_2E_7E,axiom,
! [V0_2E0: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2E_7E_2E1(V0_2E0))
<=> ~ p(V0_2E0) ) ).
tff(logicdef_2E_3D_3D_3E,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( p(c_2Emin_2E_3D_3D_3E_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
=> p(V1_2E0) ) ) ).
tff(logicdef_2E_3D,axiom,
! [A_27a: $tType,V0_2E0: A_27a,V1_2E0: A_27a] :
( p(c_2Emin_2E_3D_2E2(A_27a,V0_2E0,V1_2E0))
<=> ( V0_2E0 = V1_2E0 ) ) ).
tff(quantdef_2E_21,axiom,
! [A_27a: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] :
( p(c_2Ebool_2E_21_2E1(A_27a,V0f_2E0))
<=> ! [V1x_2E0: A_27a] : p(app_2E2(A_27a,tyop_2Emin_2Ebool,V0f_2E0,V1x_2E0)) ) ).
tff(quantdef_2E_3F,axiom,
! [A_27a: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] :
( p(c_2Ebool_2E_3F_2E1(A_27a,V0f_2E0))
<=> ? [V1x_2E0: A_27a] : p(app_2E2(A_27a,tyop_2Emin_2Ebool,V0f_2E0,V1x_2E0)) ) ).
tff(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] : ( c_2Ebool_2E_21_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E0(A_27a),X0_2E0) ) ).
tff(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool] :
( ( p(X0_2E0)
& p(X1_2E0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_2F_5C_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq2_2Ec_2Eprim__rec_2E_3C_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Eprim__rec_2E_3C_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Eprim__rec_2E_3C_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: A_27a,X1_2E0: A_27a] :
( ( X0_2E0 = X1_2E0 )
<=> p(app_2E2(A_27a,tyop_2Emin_2Ebool,app_2E2(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Emin_2E_3D_2E0(A_27a),X0_2E0),X1_2E0)) ) ).
tff(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool] :
( ( p(X0_2E0)
=> p(X1_2E0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emin_2E_3D_3D_3E_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] : ( c_2Ebool_2E_3F_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2ETemporal__Logic_2EALWAYS_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EALWAYS_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2ETemporal__Logic_2EALWAYS_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2EALWAYS_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EALWAYS_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2ETemporal__Logic_2EALWAYS_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2EBEFORE_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EBEFORE_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2EBEFORE_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2ETemporal__Logic_2EBEFORE_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EBEFORE_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2EBEFORE_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool,X2_2E0: tyop_2Emin_2Ebool] : ( c_2Ebool_2ECOND_2E3(tyop_2Emin_2Ebool,X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2ECOND_2E0(tyop_2Emin_2Ebool),X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq1_2Ec_2ETemporal__Logic_2EEVENTUAL_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EEVENTUAL_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2ETemporal__Logic_2EEVENTUAL_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2EEVENTUAL_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EEVENTUAL_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2ETemporal__Logic_2EEVENTUAL_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2EPast__Temporal__Logic_2EInitPoint_2E1,axiom,
! [X0_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EInitPoint_2E1(X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,c_2EPast__Temporal__Logic_2EInitPoint_2E0,X0_2E0) ) ).
tff(arityeq1_2Ec_2ETemporal__Logic_2ENEXT_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ENEXT_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2ETemporal__Logic_2ENEXT_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2ENEXT_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ENEXT_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2ETemporal__Logic_2ENEXT_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2EPast__Temporal__Logic_2EPALWAYS_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPALWAYS_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPALWAYS_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPALWAYS_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPBEFORE_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPBEFORE_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPBEFORE_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2EPast__Temporal__Logic_2EPBEFORE_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPBEFORE_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq1_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPEVENTUAL_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPEVENTUAL_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2EPast__Temporal__Logic_2EPNEXT_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPNEXT_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPNEXT_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPNEXT_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPNEXT_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Eprim__rec_2EPRE_2E1,axiom,
! [X0_2E0: tyop_2Enum_2Enum] : ( c_2Eprim__rec_2EPRE_2E1(X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Eprim__rec_2EPRE_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPSBEFORE_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPSBEFORE_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2EPast__Temporal__Logic_2EPSBEFORE_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPSBEFORE_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq1_2Ec_2EPast__Temporal__Logic_2EPSNEXT_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPSNEXT_2E1(X0_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPSNEXT_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPSNEXT_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSNEXT_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2EPast__Temporal__Logic_2EPSNEXT_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPSUNTIL_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPSUNTIL_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2EPast__Temporal__Logic_2EPSUNTIL_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPSUNTIL_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPSWHEN_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPSWHEN_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2EPast__Temporal__Logic_2EPSWHEN_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPSWHEN_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPUNTIL_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPUNTIL_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2EPast__Temporal__Logic_2EPUNTIL_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPUNTIL_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2EPast__Temporal__Logic_2EPWHEN_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPWHEN_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2EPast__Temporal__Logic_2EPWHEN_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2EPast__Temporal__Logic_2EPWHEN_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2ESBEFORE_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ESBEFORE_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2ESBEFORE_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2ETemporal__Logic_2ESBEFORE_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2ESBEFORE_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2ESUNTIL_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ESUNTIL_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2ESUNTIL_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2ETemporal__Logic_2ESUNTIL_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESUNTIL_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2ESUNTIL_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2ESWHEN_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ESWHEN_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2ESWHEN_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2ETemporal__Logic_2ESWHEN_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESWHEN_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2ESWHEN_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2EUNTIL_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EUNTIL_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2EUNTIL_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2ETemporal__Logic_2EUNTIL_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EUNTIL_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2EUNTIL_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2ETemporal__Logic_2EWHEN_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EWHEN_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2EWHEN_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2ETemporal__Logic_2EWHEN_2E3,axiom,
! [X0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2ETemporal__Logic_2EWHEN_2E0,X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool] :
( ( p(X0_2E0)
| p(X1_2E0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_5C_2F_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Ebool] :
( ~ p(X0_2E0)
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0_2E0)) ) ).
tff(thm_2EPast__Temporal__Logic_2EInitPoint,axiom,
! [V0x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V0x_2E0))
<=> ( V0x_2E0 = c_2Enum_2E0_2E0 ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSNEXT,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V0a_2E0,V1t0_2E0))
<=> ( p(c_2Eprim__rec_2E_3C_2E2(c_2Enum_2E0_2E0,V1t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,c_2Eprim__rec_2EPRE_2E1(V1t0_2E0))) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPNEXT,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0a_2E0,V1t0_2E0))
<=> ( ( V1t0_2E0 = c_2Enum_2E0_2E0 )
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,c_2Eprim__rec_2EPRE_2E1(V1t0_2E0))) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPALWAYS,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V0a_2E0,V1t0_2E0))
<=> ! [V2t_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V2t_2E0,V1t0_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V2t_2E0)) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPEVENTUAL,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V0a_2E0,V1t0_2E0))
<=> ? [V2t_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V2t_2E0,V1t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V2t_2E0)) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSWHEN,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V0a_2E0,V1b_2E0,V2t0_2E0))
<=> ? [V3delta_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V3delta_2E0,V2t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V3delta_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3delta_2E0))
& ! [V4t_2E0: tyop_2Enum_2Enum] :
( ( p(c_2Eprim__rec_2E_3C_2E2(V3delta_2E0,V4t_2E0))
& p(c_2Earithmetic_2E_3C_3D_2E2(V4t_2E0,V2t0_2E0)) )
=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4t_2E0)) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSUNTIL,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V0a_2E0,V1b_2E0,V2t0_2E0))
<=> ? [V3delta_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V3delta_2E0,V2t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3delta_2E0))
& ! [V4t_2E0: tyop_2Enum_2Enum] :
( ( p(c_2Eprim__rec_2E_3C_2E2(V3delta_2E0,V4t_2E0))
& p(c_2Earithmetic_2E_3C_3D_2E2(V4t_2E0,V2t0_2E0)) )
=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V4t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4t_2E0)) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSBEFORE,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0a_2E0,V1b_2E0,V2t0_2E0))
<=> ? [V3delta_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V3delta_2E0,V2t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V3delta_2E0))
& ! [V4t_2E0: tyop_2Enum_2Enum] :
( ( p(c_2Earithmetic_2E_3C_3D_2E2(V3delta_2E0,V4t_2E0))
& p(c_2Earithmetic_2E_3C_3D_2E2(V4t_2E0,V2t0_2E0)) )
=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4t_2E0)) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPWHEN,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V0a_2E0,V1b_2E0,V2t0_2E0))
<=> ( ! [V3t_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V3t_2E0,V2t0_2E0))
=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3t_2E0)) )
| ? [V4delta_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V4delta_2E0,V2t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V4delta_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4delta_2E0))
& ! [V5t_2E0: tyop_2Enum_2Enum] :
( ( p(c_2Eprim__rec_2E_3C_2E2(V4delta_2E0,V5t_2E0))
& p(c_2Earithmetic_2E_3C_3D_2E2(V5t_2E0,V2t0_2E0)) )
=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V5t_2E0)) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPUNTIL,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V0a_2E0,V1b_2E0,V2t0_2E0))
<=> ( ! [V3t_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V3t_2E0,V2t0_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V3t_2E0)) )
| ? [V4delta_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V4delta_2E0,V2t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4delta_2E0))
& ! [V5t_2E0: tyop_2Enum_2Enum] :
( ( p(c_2Eprim__rec_2E_3C_2E2(V4delta_2E0,V5t_2E0))
& p(c_2Earithmetic_2E_3C_3D_2E2(V5t_2E0,V2t0_2E0)) )
=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V5t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V5t_2E0)) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPBEFORE,axiom,
! [V0a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t0_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0a_2E0,V1b_2E0,V2t0_2E0))
<=> ( ! [V3t_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V3t_2E0,V2t0_2E0))
=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3t_2E0)) )
| ? [V4delta_2E0: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(V4delta_2E0,V2t0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0a_2E0,V4delta_2E0))
& ! [V5t_2E0: tyop_2Enum_2Enum] :
( ( p(c_2Earithmetic_2E_3C_3D_2E2(V4delta_2E0,V5t_2E0))
& p(c_2Earithmetic_2E_3C_3D_2E2(V5t_2E0,V2t0_2E0)) )
=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V5t_2E0)) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EINITIALISATION,axiom,
! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ( c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1a_2E0,c_2Enum_2E0_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1a_2E0,c_2Enum_2E0_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,c_2Enum_2E0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,c_2Enum_2E0_2E0) )
& ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,c_2Enum_2E0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,c_2Enum_2E0_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,c_2Enum_2E0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,c_2Enum_2E0_2E0) )
& ( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,c_2Enum_2E0_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,c_2Enum_2E0_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,c_2Enum_2E0_2E0)) ) )
& ( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,c_2Enum_2E0_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,c_2Enum_2E0_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,c_2Enum_2E0_2E0)) ) )
& ( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,c_2Enum_2E0_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,c_2Enum_2E0_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,c_2Enum_2E0_2E0)) ) )
& ( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,c_2Enum_2E0_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,c_2Enum_2E0_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,c_2Enum_2E0_2E0)) ) )
& ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,c_2Enum_2E0_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,c_2Enum_2E0_2E0)) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ERECURSION,axiom,
! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V2x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2EALWAYS_2E1(V1a_2E0),V2x_2E0)) ) )
& ! [V3x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V3x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V3x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2EEVENTUAL_2E1(V1a_2E0),V3x_2E0)) ) )
& ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,V0b_2E0,V4x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V4x_2E0))
=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2ESUNTIL_2E2(V1a_2E0,V0b_2E0),V4x_2E0)) ) ) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,V0b_2E0,V5x_2E0) = c_2Ebool_2ECOND_2E3(tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V5x_2E0),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V5x_2E0),c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2ESWHEN_2E2(V1a_2E0,V0b_2E0),V5x_2E0)) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V0b_2E0,V6x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V6x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V6x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2ESBEFORE_2E2(V1a_2E0,V0b_2E0),V6x_2E0)) ) ) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V7x_2E0))
=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V7x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2EUNTIL_2E2(V1a_2E0,V0b_2E0),V7x_2E0)) ) ) )
& ! [V8x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V0b_2E0,V8x_2E0) = c_2Ebool_2ECOND_2E3(tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8x_2E0),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8x_2E0),c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2EWHEN_2E2(V1a_2E0,V0b_2E0),V8x_2E0)) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,V0b_2E0,V9x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(c_2ETemporal__Logic_2EBEFORE_2E2(V1a_2E0,V0b_2E0),V9x_2E0)) ) ) )
& ! [V10x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V10x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V10x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPALWAYS_2E1(V1a_2E0),V10x_2E0)) ) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V11x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V1a_2E0),V11x_2E0)) ) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V12x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12x_2E0))
| ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V1a_2E0,V0b_2E0),V12x_2E0)) ) ) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V13x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V13x_2E0)) )
| ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V13x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V1a_2E0,V0b_2E0),V13x_2E0)) ) ) )
& ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V14x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V1a_2E0,V0b_2E0),V14x_2E0)) ) ) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V15x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15x_2E0))
| ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V1a_2E0,V0b_2E0),V15x_2E0)) ) ) )
& ! [V16x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V16x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V16x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16x_2E0)) )
| ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPWHEN_2E2(V1a_2E0,V0b_2E0),V16x_2E0)) ) ) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V17x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V17x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V1a_2E0,V0b_2E0),V17x_2E0)) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EFIXPOINTS,axiom,
! [V0y_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ( ! [V3x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V3x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V3x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V0y_2E0,V3x_2E0)) ) )
<=> ( ( V0y_2E0 = c_2ETemporal__Logic_2EALWAYS_2E1(V2a_2E0) )
| ! [V4x_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V4x_2E0) = c_2Ebool_2EF_2E0 ) ) )
& ( ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V5x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V5x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V0y_2E0,V5x_2E0)) ) )
<=> ( ( V0y_2E0 = c_2ETemporal__Logic_2EEVENTUAL_2E1(V2a_2E0) )
| ! [V6x_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V6x_2E0) = c_2Ebool_2ET_2E0 ) ) )
& ( ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V7x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V7x_2E0))
=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V7x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V0y_2E0,V7x_2E0)) ) ) )
<=> ( ( V0y_2E0 = c_2ETemporal__Logic_2EUNTIL_2E2(V2a_2E0,V1b_2E0) )
| ( V0y_2E0 = c_2ETemporal__Logic_2ESUNTIL_2E2(V2a_2E0,V1b_2E0) ) ) )
& ( ! [V8x_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V8x_2E0) = c_2Ebool_2ECOND_2E3(tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V8x_2E0),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8x_2E0),c_2ETemporal__Logic_2ENEXT_2E2(V0y_2E0,V8x_2E0)) )
<=> ( ( V0y_2E0 = c_2ETemporal__Logic_2EWHEN_2E2(V2a_2E0,V1b_2E0) )
| ( V0y_2E0 = c_2ETemporal__Logic_2ESWHEN_2E2(V2a_2E0,V1b_2E0) ) ) )
& ( ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V9x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V9x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V9x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V0y_2E0,V9x_2E0)) ) ) )
<=> ( ( V0y_2E0 = c_2ETemporal__Logic_2EBEFORE_2E2(V2a_2E0,V1b_2E0) )
| ( V0y_2E0 = c_2ETemporal__Logic_2ESBEFORE_2E2(V2a_2E0,V1b_2E0) ) ) )
& ( ! [V10x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V10x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V10x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0y_2E0,V10x_2E0)) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPALWAYS_2E1(V2a_2E0) ) )
& ( ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V11x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V11x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V0y_2E0,V11x_2E0)) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V2a_2E0) ) )
& ( ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V12x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V12x_2E0))
| ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V12x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V0y_2E0,V12x_2E0)) ) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V2a_2E0,V1b_2E0) ) )
& ( ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V13x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V13x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V13x_2E0)) )
| ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V13x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V0y_2E0,V13x_2E0)) ) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V2a_2E0,V1b_2E0) ) )
& ( ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V14x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V14x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V14x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V0y_2E0,V14x_2E0)) ) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V2a_2E0,V1b_2E0) ) )
& ( ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V15x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V15x_2E0))
| ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V15x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0y_2E0,V15x_2E0)) ) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V2a_2E0,V1b_2E0) ) )
& ( ! [V16x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V16x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V16x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V16x_2E0)) )
| ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V16x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0y_2E0,V16x_2E0)) ) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPWHEN_2E2(V2a_2E0,V1b_2E0) ) )
& ( ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0y_2E0,V17x_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V17x_2E0))
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V17x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0y_2E0,V17x_2E0)) ) ) )
<=> ( V0y_2E0 = c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V2a_2E0,V1b_2E0) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESUNTIL__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V19t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),V19t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V19t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),V16t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V14t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V20t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V20t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V17t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESUNTIL_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0)) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V5x_2E0) = c_2ETemporal__Logic_2ESUNTIL_2E3(F1_2E0,V1a_2E0,V5x_2E0) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V7x_2E0)) )
& ! [V10x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V0b_2E0,V10x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V10x_2E0)) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V0b_2E0,V13x_2E0)) )
& ! [V15x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,V0b_2E0,V15x_2E0) = c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V15x_2E0) )
& ! [V18x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V0b_2E0,V18x_2E0) = c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V18x_2E0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EUNTIL__EXPRESSIVE,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F7_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V1a_2E0),V20t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V20t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),V17t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),V11t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V1a_2E0),V5t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V5t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V14t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V15t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V18t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V18t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0) = c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,F0_2E0,V2x_2E0) )
& ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V4x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V1a_2E0),F7_2E0,V4x_2E0)) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V7x_2E0)) )
& ! [V10x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V0b_2E0,V10x_2E0) = c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V10x_2E0) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V13x_2E0)) )
& ! [V16x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,V0b_2E0,V16x_2E0) = c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V16x_2E0) )
& ! [V19x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V0b_2E0,V19x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V1a_2E0),V0b_2E0,V19x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EWHEN__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),V15t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V13t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V13t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V16t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V18t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V18t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0) = c_2ETemporal__Logic_2EWHEN_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V5x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EWHEN_2E3(F1_2E0,V1a_2E0,V5x_2E0)) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V7x_2E0)) )
& ! [V10x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,V0b_2E0,V10x_2E0) = c_2ETemporal__Logic_2EWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V10x_2E0) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,V0b_2E0,V12x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V0b_2E0,V12x_2E0)) )
& ! [V14x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,V0b_2E0,V14x_2E0) = c_2ETemporal__Logic_2EWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V14x_2E0) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V0b_2E0,V17x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V17x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESWHEN__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),V17t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V13t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V13t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),V10t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V10t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V18t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V18t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V15t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESWHEN_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0)) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V5x_2E0) = c_2ETemporal__Logic_2ESWHEN_2E3(F1_2E0,V1a_2E0,V5x_2E0) )
& ! [V7x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0) = c_2ETemporal__Logic_2ESWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V7x_2E0) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,V0b_2E0,V9x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9x_2E0)) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V0b_2E0,V12x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V0b_2E0,V12x_2E0)) )
& ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,V0b_2E0,V14x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V14x_2E0)) )
& ! [V16x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V0b_2E0,V16x_2E0) = c_2ETemporal__Logic_2ESWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V16x_2E0) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EBEFORE__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V1a_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V10t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V10t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V10t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V15t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V17t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0) = c_2ETemporal__Logic_2EBEFORE_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V5x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EBEFORE_2E3(F1_2E0,V1a_2E0,V5x_2E0)) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V1a_2E0),V0b_2E0,V7x_2E0)) )
& ! [V9x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,V0b_2E0,V9x_2E0) = c_2ETemporal__Logic_2EBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V9x_2E0) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,V0b_2E0,V11x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V11x_2E0)) )
& ! [V13x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0) = c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V13x_2E0) )
& ! [V16x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V0b_2E0,V16x_2E0))
<=> ~ p(c_2ETemporal__Logic_2EBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V16x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESBEFORE__EXPRESSIVE,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V4t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F7_2E0,V4t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V1a_2E0),V10t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V10t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V3t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V8t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V16t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),F7_2E0,V2x_2E0)) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EEVENTUAL_2E2(V1a_2E0,V5x_2E0) = c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,F1_2E0,V5x_2E0) )
& ! [V7x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0) = c_2ETemporal__Logic_2ESBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V7x_2E0) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,V0b_2E0,V9x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V1a_2E0),V0b_2E0,V9x_2E0)) )
& ! [V11x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,V0b_2E0,V11x_2E0) = c_2ETemporal__Logic_2ESBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V11x_2E0) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V13x_2E0)) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,V0b_2E0,V15x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ESBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V15x_2E0)) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSUNTIL__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V19t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),V19t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V19t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),V16t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V14t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V20t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V20t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V17t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0)) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V5x_2E0) = c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(F1_2E0,V1a_2E0,V5x_2E0) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V7x_2E0)) )
& ! [V10x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V10x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V10x_2E0)) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V0b_2E0,V13x_2E0)) )
& ! [V15x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V15x_2E0) = c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V15x_2E0) )
& ! [V18x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V18x_2E0) = c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V18x_2E0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPUNTIL__EXPRESSIVE,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F7_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V1a_2E0),V20t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V20t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),V17t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),V11t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V1a_2E0),V5t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V5t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V14t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V15t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V18t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V18t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V2x_2E0) = c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,F0_2E0,V2x_2E0) )
& ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V4x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V1a_2E0),F7_2E0,V4x_2E0)) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V7x_2E0)) )
& ! [V10x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V10x_2E0) = c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V10x_2E0) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V13x_2E0)) )
& ! [V16x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V16x_2E0) = c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V16x_2E0) )
& ! [V19x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V19x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V1a_2E0),V0b_2E0,V19x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPWHEN__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),V15t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V13t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V13t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V16t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V18t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V18t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V2x_2E0) = c_2EPast__Temporal__Logic_2EPWHEN_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V5x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(F1_2E0,V1a_2E0,V5x_2E0)) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V7x_2E0)) )
& ! [V10x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V10x_2E0) = c_2EPast__Temporal__Logic_2EPWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V10x_2E0) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V12x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V0b_2E0,V12x_2E0)) )
& ! [V14x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V14x_2E0) = c_2EPast__Temporal__Logic_2EPWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V14x_2E0) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V17x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V17x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSWHEN__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),V17t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V13t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V13t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),V10t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V10t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V18t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V18t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V15t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0))
=> p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0)) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V5x_2E0) = c_2EPast__Temporal__Logic_2EPSWHEN_2E3(F1_2E0,V1a_2E0,V5x_2E0) )
& ! [V7x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0) = c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V7x_2E0) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V9x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V9x_2E0)) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V12x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V1a_2E0),V0b_2E0,V12x_2E0)) )
& ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V14x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V14x_2E0)) )
& ! [V16x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V16x_2E0) = c_2EPast__Temporal__Logic_2EPSWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V16x_2E0) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPBEFORE__EXPRESSIVE,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V1a_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V10t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V10t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V10t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V15t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V15t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V15t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V17t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V17t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V2x_2E0) = c_2EPast__Temporal__Logic_2EPBEFORE_2E3(F0_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1a_2E0),V2x_2E0) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V5x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(F1_2E0,V1a_2E0,V5x_2E0)) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V1a_2E0),V0b_2E0,V7x_2E0)) )
& ! [V9x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V9x_2E0) = c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V9x_2E0) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V11x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V11x_2E0)) )
& ! [V13x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0) = c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V13x_2E0) )
& ! [V16x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V16x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V16x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPSBEFORE__EXPRESSIVE,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V4t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F7_2E0,V4t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V6t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V6t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V1a_2E0),V10t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V10t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V3t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V8t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V16t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V16t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V14t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V14t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V2x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),F7_2E0,V2x_2E0)) )
& ! [V5x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V5x_2E0) = c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,F1_2E0,V5x_2E0) )
& ! [V7x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V7x_2E0) = c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V7x_2E0) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V9x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V1a_2E0),V0b_2E0,V9x_2E0)) )
& ! [V11x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V11x_2E0) = c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V11x_2E0) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V13x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V13x_2E0)) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V15x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0b_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V15x_2E0)) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ENEGATION__NORMAL__FORM,axiom,
! [F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F18_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F17_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F9_2E0,V2a_2E0),V12t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V12t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F8_2E0,V2a_2E0),V11t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V11t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V2a_2E0),V10t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V10t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V2a_2E0),V9t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V9t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V2a_2E0),V8t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V2a_2E0),V7t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V7t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V6t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V2a_2E0),V6t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V6t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V2a_2E0),V5t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V5t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V21t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F18_2E0,V2a_2E0),V21t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V21t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F17_2E0,V2a_2E0),V20t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V20t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V19t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F16_2E0,V2a_2E0),V19t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V19t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F15_2E0,V2a_2E0),V18t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V18t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F14_2E0,V2a_2E0),V17t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V17t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F13_2E0,V2a_2E0),V16t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V16t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F12_2E0,V2a_2E0),V15t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V15t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F11_2E0,V2a_2E0),V14t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V14t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F10_2E0,V2a_2E0),V13t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V13t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V2a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V4t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V2a_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V3t_2E0)) )
=> ! [V0t_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ( ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2EALWAYS_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2EEVENTUAL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2EALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2EWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2ESWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2EUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2ESBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2EBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2ESWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2EWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2ETemporal__Logic_2ESBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F8_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F9_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F10_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F11_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F12_2E0,V2a_2E0),V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F13_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F14_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F15_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F16_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F17_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) )
& ( ~ p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0))
<=> p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F18_2E0,V2a_2E0),V1b_2E0,V0t_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ECONJUNCTIVE__NORMAL__FORM,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F16_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F15_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V1b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V18t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V18t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V2a_2E0),V1b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V16t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V16t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V36t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0,V2a_2E0),V1b_2E0),V36t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V36t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V36t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V34t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2a_2E0),V1b_2E0),V34t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V34t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V34t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V22t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V1b_2E0),V22t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V22t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V22t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V2a_2E0),V1b_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V20t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V20t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V2a_2E0),V1b_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V14t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V14t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V2a_2E0),V1b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V12t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V1b_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V10t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V10t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V1b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V8t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V32t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V2a_2E0),V1b_2E0),V32t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V32t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V32t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V30t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V2a_2E0),V1b_2E0),V30t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V30t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V30t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V28t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V2a_2E0),V1b_2E0),V28t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V28t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V28t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V26t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V1b_2E0),V26t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V26t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V26t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V24t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V2a_2E0),V1b_2E0),V24t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V24t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V24t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V6t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V6t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V6t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V6t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V4t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V4t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4t_2E0)) ) )
=> ! [V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V3x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V3x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V3x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V3x_2E0)) ) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V5x_2E0))
<=> ( p(c_2ETemporal__Logic_2EALWAYS_2E2(V2a_2E0,V5x_2E0))
& p(c_2ETemporal__Logic_2EALWAYS_2E2(V1b_2E0,V5x_2E0)) ) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V7x_2E0))
<=> ( p(c_2ETemporal__Logic_2EWHEN_2E3(V2a_2E0,V0c_2E0,V7x_2E0))
& p(c_2ETemporal__Logic_2EWHEN_2E3(V1b_2E0,V0c_2E0,V7x_2E0)) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V9x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESWHEN_2E3(V2a_2E0,V0c_2E0,V9x_2E0))
& p(c_2ETemporal__Logic_2ESWHEN_2E3(V1b_2E0,V0c_2E0,V9x_2E0)) ) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V11x_2E0))
<=> ( p(c_2ETemporal__Logic_2EUNTIL_2E3(V2a_2E0,V0c_2E0,V11x_2E0))
& p(c_2ETemporal__Logic_2EUNTIL_2E3(V1b_2E0,V0c_2E0,V11x_2E0)) ) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V13x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2a_2E0,V0c_2E0,V13x_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1b_2E0,V0c_2E0,V13x_2E0)) ) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V0c_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V2a_2E0),V1b_2E0),V15x_2E0))
<=> ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V0c_2E0,V2a_2E0,V15x_2E0))
& p(c_2ETemporal__Logic_2EBEFORE_2E3(V0c_2E0,V1b_2E0,V15x_2E0)) ) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V0c_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V1b_2E0),V17x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V0c_2E0,V2a_2E0,V17x_2E0))
& p(c_2ETemporal__Logic_2ESBEFORE_2E3(V0c_2E0,V1b_2E0,V17x_2E0)) ) )
& ! [V19x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V2a_2E0),V1b_2E0),V19x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V19x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1b_2E0,V19x_2E0)) ) )
& ! [V21x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V1b_2E0),V21x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2a_2E0,V21x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1b_2E0,V21x_2E0)) ) )
& ! [V23x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V2a_2E0),V1b_2E0),V23x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V2a_2E0,V23x_2E0))
& p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1b_2E0,V23x_2E0)) ) )
& ! [V25x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V25x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V2a_2E0,V0c_2E0,V25x_2E0))
& p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1b_2E0,V0c_2E0,V25x_2E0)) ) )
& ! [V27x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V27x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V2a_2E0,V0c_2E0,V27x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1b_2E0,V0c_2E0,V27x_2E0)) ) )
& ! [V29x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V29x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V0c_2E0,V29x_2E0))
& p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1b_2E0,V0c_2E0,V29x_2E0)) ) )
& ! [V31x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V31x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V0c_2E0,V31x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1b_2E0,V0c_2E0,V31x_2E0)) ) )
& ! [V33x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0c_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2a_2E0),V1b_2E0),V33x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0c_2E0,V2a_2E0,V33x_2E0))
& p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V0c_2E0,V1b_2E0,V33x_2E0)) ) )
& ! [V35x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0c_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0,V2a_2E0),V1b_2E0),V35x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0c_2E0,V2a_2E0,V35x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V0c_2E0,V1b_2E0,V35x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EDISJUNCTIVE__NORMAL__FORM,axiom,
! [F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F15_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V22t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V1b_2E0),V22t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V22t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V22t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V2a_2E0),V1b_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V20t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V20t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V1b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V18t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V18t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V2a_2E0),V1b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V16t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V16t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1b_2E0),V0c_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V14t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V14t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1b_2E0),V0c_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V12t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V12t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V1b_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V10t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V10t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V1b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V8t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V34t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2a_2E0),V1b_2E0),V34t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V34t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V34t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V32t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V2a_2E0),V1b_2E0),V32t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V32t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V32t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V30t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V1b_2E0),V0c_2E0),V30t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V30t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V30t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V28t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V1b_2E0),V0c_2E0),V28t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V28t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V28t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V26t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V1b_2E0),V26t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V26t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V26t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V24t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V2a_2E0),V1b_2E0),V24t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V24t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V24t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V6t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V6t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V6t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V6t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V4t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V4t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4t_2E0)) ) )
=> ! [V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V3x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V3x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V3x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V3x_2E0)) ) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V5x_2E0))
<=> ( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V2a_2E0,V5x_2E0))
| p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1b_2E0,V5x_2E0)) ) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V7x_2E0))
<=> ( p(c_2ETemporal__Logic_2EWHEN_2E3(V2a_2E0,V0c_2E0,V7x_2E0))
| p(c_2ETemporal__Logic_2EWHEN_2E3(V1b_2E0,V0c_2E0,V7x_2E0)) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V9x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESWHEN_2E3(V2a_2E0,V0c_2E0,V9x_2E0))
| p(c_2ETemporal__Logic_2ESWHEN_2E3(V1b_2E0,V0c_2E0,V9x_2E0)) ) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EUNTIL_2E3(V2a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1b_2E0),V0c_2E0),V11x_2E0))
<=> ( p(c_2ETemporal__Logic_2EUNTIL_2E3(V2a_2E0,V1b_2E0,V11x_2E0))
| p(c_2ETemporal__Logic_2EUNTIL_2E3(V2a_2E0,V0c_2E0,V11x_2E0)) ) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1b_2E0),V0c_2E0),V13x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2a_2E0,V1b_2E0,V13x_2E0))
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2a_2E0,V0c_2E0,V13x_2E0)) ) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V15x_2E0))
<=> ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V2a_2E0,V0c_2E0,V15x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(V1b_2E0,V0c_2E0,V15x_2E0)) ) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V17x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V2a_2E0,V0c_2E0,V17x_2E0))
| p(c_2ETemporal__Logic_2ESBEFORE_2E3(V1b_2E0,V0c_2E0,V17x_2E0)) ) )
& ! [V19x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V2a_2E0),V1b_2E0),V19x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V19x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1b_2E0,V19x_2E0)) ) )
& ! [V21x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V1b_2E0),V21x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V2a_2E0,V21x_2E0))
| p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1b_2E0,V21x_2E0)) ) )
& ! [V23x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V23x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V2a_2E0,V0c_2E0,V23x_2E0))
| p(c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1b_2E0,V0c_2E0,V23x_2E0)) ) )
& ! [V25x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V25x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V2a_2E0,V0c_2E0,V25x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1b_2E0,V0c_2E0,V25x_2E0)) ) )
& ! [V27x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V1b_2E0),V0c_2E0),V27x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V1b_2E0,V27x_2E0))
| p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V0c_2E0,V27x_2E0)) ) )
& ! [V29x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V1b_2E0),V0c_2E0),V29x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V1b_2E0,V29x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V0c_2E0,V29x_2E0)) ) )
& ! [V31x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V31x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2a_2E0,V0c_2E0,V31x_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V0c_2E0,V31x_2E0)) ) )
& ! [V33x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2a_2E0),V1b_2E0),V0c_2E0,V33x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V2a_2E0,V0c_2E0,V33x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1b_2E0,V0c_2E0,V33x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPRENEX__NEXT__NORMAL__FORM,axiom,
! [F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V2a_2E0),V8t_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V8t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F10_2E0,V2a_2E0),V15t_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V15t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V15t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F9_2E0,V2a_2E0),V14t_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V14t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V14t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F8_2E0,V1b_2E0),V13t_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V13t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V13t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1b_2E0),V12t_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V12t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V12t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V1b_2E0),V11t_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V11t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V11t_2E0)) ) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V1b_2E0),V10t_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V10t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V10t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V2a_2E0),V9t_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V9t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V9t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V2a_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V3t_2E0)) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V1b_2E0),V5t_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V5t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V5t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V4t_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V4t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V4t_2E0)) ) )
=> ! [V0t_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ( ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V0t_2E0))
<=> p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V2a_2E0),V0t_2E0)) )
& ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V0t_2E0)) )
<=> p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V0t_2E0)) )
& ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V0t_2E0)) )
<=> p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V1b_2E0),V0t_2E0)) )
& ( c_2ETemporal__Logic_2EALWAYS_2E1(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EALWAYS_2E1(V2a_2E0)) )
& ( c_2ETemporal__Logic_2EEVENTUAL_2E1(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EEVENTUAL_2E1(V2a_2E0)) )
& ( c_2ETemporal__Logic_2ESUNTIL_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2ETemporal__Logic_2ESWHEN_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2ETemporal__Logic_2ESBEFORE_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESBEFORE_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2ETemporal__Logic_2EUNTIL_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2ETemporal__Logic_2EWHEN_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2ETemporal__Logic_2EBEFORE_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EBEFORE_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2ETemporal__Logic_2ESUNTIL_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESUNTIL_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2ETemporal__Logic_2ESWHEN_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESWHEN_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2ETemporal__Logic_2ESBEFORE_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESBEFORE_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2ETemporal__Logic_2EUNTIL_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EUNTIL_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2ETemporal__Logic_2EWHEN_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EWHEN_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2ETemporal__Logic_2EBEFORE_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EBEFORE_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V6x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V6x_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V6x_2E0)) ) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V7x_2E0))
<=> ( ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V7x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V7x_2E0)) ) )
& ( c_2EPast__Temporal__Logic_2EPALWAYS_2E1(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0,V2a_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0,V2a_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0,V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0,V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),V1b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPWHEN_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V2a_2E0,c_2ETemporal__Logic_2ENEXT_2E1(V1b_2E0)) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPBEFORE_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V2a_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F8_2E0,V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F9_2E0,V2a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPUNTIL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F10_2E0,V2a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPWHEN_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPWHEN_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1b_2E0))) )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V2a_2E0),V1b_2E0) = c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V2a_2E0,c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1b_2E0))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ENEXT__INWARDS__NORMAL__FORM,axiom,
! [F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V3t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V7t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V7t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V1a_2E0),V0b_2E0),V5t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V5t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V5t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),V2x_2E0))
<=> ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V2x_2E0)) )
& ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V1a_2E0),V0b_2E0),V4x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V4x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V4x_2E0)) ) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V6x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V6x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V6x_2E0)) ) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EALWAYS_2E1(V1a_2E0)) = c_2ETemporal__Logic_2EALWAYS_2E1(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EEVENTUAL_2E1(V1a_2E0)) = c_2ETemporal__Logic_2EEVENTUAL_2E1(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESUNTIL_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2ESUNTIL_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V0b_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESWHEN_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2ESWHEN_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V0b_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2ESBEFORE_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2ESBEFORE_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V0b_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EUNTIL_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2EUNTIL_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V0b_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EWHEN_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2EWHEN_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V0b_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2ETemporal__Logic_2EBEFORE_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2EBEFORE_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V0b_2E0)) )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0)) = V1a_2E0 )
& ( c_2ETemporal__Logic_2ENEXT_2E1(c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1a_2E0)) = V1a_2E0 )
& ! [V8x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPALWAYS_2E1(V1a_2E0),V8x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V1a_2E0,V8x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V8x_2E0)) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V1a_2E0),V9x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1a_2E0,V9x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V9x_2E0)) ) )
& ! [V10x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V1a_2E0,V0b_2E0),V10x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V10x_2E0))
| ( p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V10x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,V0b_2E0,V10x_2E0)) ) ) )
& ! [V11x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V1a_2E0,V0b_2E0),V11x_2E0) = c_2Ebool_2ECOND_2E3(tyop_2Emin_2Ebool,c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V11x_2E0),c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V11x_2E0),c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,V0b_2E0,V11x_2E0)) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V1a_2E0,V0b_2E0),V12x_2E0))
<=> ( ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V12x_2E0))
& ( p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V12x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V0b_2E0,V12x_2E0)) ) ) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V1a_2E0,V0b_2E0),V13x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V13x_2E0))
| ( p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V13x_2E0))
& p(c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,V0b_2E0,V13x_2E0)) ) ) )
& ! [V14x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPWHEN_2E2(V1a_2E0,V0b_2E0),V14x_2E0) = c_2Ebool_2ECOND_2E3(tyop_2Emin_2Ebool,c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V14x_2E0),c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V14x_2E0),c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V0b_2E0,V14x_2E0)) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V1a_2E0,V0b_2E0),V15x_2E0))
<=> ( ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V0b_2E0,V15x_2E0))
& ( p(c_2ETemporal__Logic_2ENEXT_2E2(V1a_2E0,V15x_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,V0b_2E0,V15x_2E0)) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EPNEXT__INWARDS__NORMAL__FORM,axiom,
! [F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V3t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V7t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V7t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V1a_2E0),V0b_2E0),V5t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V5t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V5t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1a_2E0),V2x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1a_2E0,V2x_2E0)) )
& ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V1a_2E0),V0b_2E0),V4x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1a_2E0,V4x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0b_2E0,V4x_2E0)) ) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V6x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1a_2E0,V6x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0b_2E0,V6x_2E0)) ) )
& ! [V8x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2ETemporal__Logic_2ENEXT_2E1(V1a_2E0),V8x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V8x_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8x_2E0)) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2ETemporal__Logic_2EALWAYS_2E1(V1a_2E0),V9x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V9x_2E0))
| p(c_2ETemporal__Logic_2EALWAYS_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),V9x_2E0)) ) )
& ! [V10x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2ETemporal__Logic_2EEVENTUAL_2E1(V1a_2E0),V10x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V10x_2E0))
| p(c_2ETemporal__Logic_2EEVENTUAL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),V10x_2E0)) ) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2ETemporal__Logic_2ESUNTIL_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2ESUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2ETemporal__Logic_2ESWHEN_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2ESWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2ETemporal__Logic_2ESBEFORE_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2ESBEFORE_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2ETemporal__Logic_2EUNTIL_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2EUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2ETemporal__Logic_2EWHEN_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2EWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2ETemporal__Logic_2EBEFORE_2E2(V1a_2E0,V0b_2E0)) = c_2ETemporal__Logic_2EBEFORE_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2EPast__Temporal__Logic_2EPALWAYS_2E1(V1a_2E0)) = c_2EPast__Temporal__Logic_2EPALWAYS_2E1(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0)) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V1a_2E0),V11x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V11x_2E0))
| p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1a_2E0),V11x_2E0)) ) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V1a_2E0,V0b_2E0),V12x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V12x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V0b_2E0),V12x_2E0)) ) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V1a_2E0,V0b_2E0),V13x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V13x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSWHEN_2E3(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V0b_2E0),V13x_2E0)) ) )
& ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V1a_2E0,V0b_2E0),V14x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V14x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0),V14x_2E0)) ) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V1a_2E0,V0b_2E0)) = c_2EPast__Temporal__Logic_2EPUNTIL_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2EPast__Temporal__Logic_2EPWHEN_2E2(V1a_2E0,V0b_2E0)) = c_2EPast__Temporal__Logic_2EPWHEN_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPNEXT_2E1(V0b_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V1a_2E0,V0b_2E0)) = c_2EPast__Temporal__Logic_2EPBEFORE_2E2(c_2EPast__Temporal__Logic_2EPNEXT_2E1(V1a_2E0),c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V0b_2E0)) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESIMPLIFY,axiom,
! [F9_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F66_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F64_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F61_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F59_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F57_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F55_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F52_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F50_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F48_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F46_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F44_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F42_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F4_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F39_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F37_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F36_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F34_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F31_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F29_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F26_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F24_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F22_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F20_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F2_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F17_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F15_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F13_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F11_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F8_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F65_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F62_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F60_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F6_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F58_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F56_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F53_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F51_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F5_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F49_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F47_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F45_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F43_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F41_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F40_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F38_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F35_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F33_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F30_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F3_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F27_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F25_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F23_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F21_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F18_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F16_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F14_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F12_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F10_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F67_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F63_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F54_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F32_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F28_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F19_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))] :
( ! [V19t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F9_2E0,V19t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V15t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F7_2E0,V15t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V113t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F66_2E0,V113t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V109t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F64_2E0,V109t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V104t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F61_2E0,V104t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V101t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F59_2E0,V101t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V96t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F57_2E0,V96t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V93t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F55_2E0,V93t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V89t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F52_2E0,V89t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V86t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F50_2E0,V86t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V83t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F48_2E0,V83t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V80t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F46_2E0,V80t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V77t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F44_2E0,V77t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V73t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F42_2E0,V73t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V11t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F4_2E0,V11t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V69t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F39_2E0,V69t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V65t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F37_2E0,V65t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V63t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F36_2E0,V63t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V59t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F34_2E0,V59t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V55t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F31_2E0,V55t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V51t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F29_2E0,V51t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V46t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F26_2E0,V46t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V43t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F24_2E0,V43t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V38t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F22_2E0,V38t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V35t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F20_2E0,V35t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V7t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F2_2E0,V7t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V31t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F17_2E0,V31t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V28t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F15_2E0,V28t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V25t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F13_2E0,V25t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V22t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F11_2E0,V22t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V5t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F1_2E0,V5t_2E0) = c_2Ebool_2ET_2E0 )
=> ( ! [V17t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F8_2E0,V17t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V111t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F65_2E0,V111t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V106t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F62_2E0,V106t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V102t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F60_2E0,V102t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V14t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F6_2E0,V14t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V99t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F58_2E0,V99t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V95t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F56_2E0,V95t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V90t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F53_2E0,V90t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V88t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F51_2E0,V88t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V13t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F5_2E0,V13t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V85t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F49_2E0,V85t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V81t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F47_2E0,V81t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V78t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F45_2E0,V78t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V75t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F43_2E0,V75t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V72t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F41_2E0,V72t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V71t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F40_2E0,V71t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V67t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F38_2E0,V67t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V61t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F35_2E0,V61t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V57t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F33_2E0,V57t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V53t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F30_2E0,V53t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V9t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F3_2E0,V9t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V48t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F27_2E0,V48t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V44t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F25_2E0,V44t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V41t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F23_2E0,V41t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V37t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F21_2E0,V37t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V32t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F18_2E0,V32t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V30t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F16_2E0,V30t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V27t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F14_2E0,V27t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V23t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F12_2E0,V23t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V20t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F10_2E0,V20t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V3t_2E0: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V3t_2E0) = c_2Ebool_2EF_2E0 )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V114t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F67_2E0,V1a_2E0),V114t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V114t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V107t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F63_2E0,V0b_2E0),V107t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V107t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V91t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F54_2E0,V0b_2E0),V91t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V91t_2E0)) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V56t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F32_2E0,V1a_2E0),V56t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V56t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V49t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F28_2E0,V0b_2E0),V49t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V49t_2E0)) )
=> ( ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V33t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F19_2E0,V0b_2E0),V33t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V33t_2E0)) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V2x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ENEXT_2E2(F0_2E0,V2x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V4x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ENEXT_2E2(F1_2E0,V4x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V6x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EALWAYS_2E2(F2_2E0,V6x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V8x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EALWAYS_2E2(F3_2E0,V8x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V10x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EEVENTUAL_2E2(F4_2E0,V10x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V12x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EEVENTUAL_2E2(F5_2E0,V12x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2ETemporal__Logic_2ESUNTIL_2E2(F6_2E0,V0b_2E0) = V0b_2E0 )
& ( c_2ETemporal__Logic_2ESUNTIL_2E2(F7_2E0,V0b_2E0) = c_2ETemporal__Logic_2EEVENTUAL_2E1(V0b_2E0) )
& ! [V16x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,F8_2E0,V16x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V18x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESUNTIL_2E3(V1a_2E0,F9_2E0,V18x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2ETemporal__Logic_2ESUNTIL_2E2(V1a_2E0,V1a_2E0) = V1a_2E0 )
& ( c_2ETemporal__Logic_2EUNTIL_2E2(F10_2E0,V0b_2E0) = V0b_2E0 )
& ! [V21x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EUNTIL_2E3(F11_2E0,V0b_2E0,V21x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2ETemporal__Logic_2EUNTIL_2E2(V1a_2E0,F12_2E0) = c_2ETemporal__Logic_2EALWAYS_2E1(V1a_2E0) )
& ! [V24x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EUNTIL_2E3(V1a_2E0,F13_2E0,V24x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2ETemporal__Logic_2EUNTIL_2E2(V1a_2E0,V1a_2E0) = V1a_2E0 )
& ! [V26x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESWHEN_2E3(F14_2E0,V0b_2E0,V26x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2ETemporal__Logic_2ESWHEN_2E2(F15_2E0,V0b_2E0) = c_2ETemporal__Logic_2EEVENTUAL_2E1(V0b_2E0) )
& ! [V29x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESWHEN_2E3(V1a_2E0,F16_2E0,V29x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2ETemporal__Logic_2ESWHEN_2E2(V1a_2E0,F17_2E0) = V1a_2E0 )
& ( c_2ETemporal__Logic_2ESWHEN_2E2(V1a_2E0,V1a_2E0) = c_2ETemporal__Logic_2EEVENTUAL_2E1(V1a_2E0) )
& ( c_2ETemporal__Logic_2EWHEN_2E2(F18_2E0,V0b_2E0) = c_2ETemporal__Logic_2EALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F19_2E0,V0b_2E0)) )
& ! [V34x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(F20_2E0,V0b_2E0,V34x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V36x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,F21_2E0,V36x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2ETemporal__Logic_2EWHEN_2E2(V1a_2E0,F22_2E0) = V1a_2E0 )
& ! [V39x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EWHEN_2E3(V1a_2E0,V1a_2E0,V39x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V40x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(F23_2E0,V0b_2E0,V40x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V42x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESBEFORE_2E3(F24_2E0,V0b_2E0,V42x_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V42x_2E0)) )
& ( c_2ETemporal__Logic_2ESBEFORE_2E2(V1a_2E0,F25_2E0) = c_2ETemporal__Logic_2EEVENTUAL_2E1(V1a_2E0) )
& ! [V45x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,F26_2E0,V45x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V47x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(V1a_2E0,V1a_2E0,V47x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2ETemporal__Logic_2EBEFORE_2E2(F27_2E0,V0b_2E0) = c_2ETemporal__Logic_2EALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F28_2E0,V0b_2E0)) )
& ! [V50x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(F29_2E0,V0b_2E0,V50x_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V50x_2E0)) )
& ! [V52x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,F30_2E0,V52x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V54x_2E0: tyop_2Enum_2Enum] : ( c_2ETemporal__Logic_2EBEFORE_2E3(V1a_2E0,F31_2E0,V54x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2ETemporal__Logic_2EBEFORE_2E2(V1a_2E0,V1a_2E0) = c_2ETemporal__Logic_2EALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F32_2E0,V1a_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPNEXT_2E1(F33_2E0) = c_2EPast__Temporal__Logic_2EInitPoint_2E0 )
& ! [V58x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPNEXT_2E2(F34_2E0,V58x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V60x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSNEXT_2E2(F35_2E0,V60x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V62x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(F36_2E0,V62x_2E0))
<=> ~ p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V62x_2E0)) )
& ! [V64x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(F37_2E0,V64x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V66x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPALWAYS_2E2(F38_2E0,V66x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V68x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(F39_2E0,V68x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V70x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(F40_2E0,V70x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(F41_2E0,V0b_2E0) = V0b_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(F42_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V0b_2E0) )
& ! [V74x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,F43_2E0,V74x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V76x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1a_2E0,F44_2E0,V76x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V1a_2E0,V1a_2E0) = V1a_2E0 )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(F45_2E0,V0b_2E0) = V0b_2E0 )
& ! [V79x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(F46_2E0,V0b_2E0,V79x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V1a_2E0,F47_2E0) = c_2EPast__Temporal__Logic_2EPALWAYS_2E1(V1a_2E0) )
& ! [V82x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V1a_2E0,F48_2E0,V82x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V1a_2E0,V1a_2E0) = V1a_2E0 )
& ! [V84x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(F49_2E0,V0b_2E0,V84x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(F50_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V0b_2E0) )
& ! [V87x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V1a_2E0,F51_2E0,V87x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V1a_2E0,F52_2E0) = V1a_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V1a_2E0,V1a_2E0) = c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V1a_2E0) )
& ( c_2EPast__Temporal__Logic_2EPWHEN_2E2(F53_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F54_2E0,V0b_2E0)) )
& ! [V92x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(F55_2E0,V0b_2E0,V92x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V94x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,F56_2E0,V94x_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPWHEN_2E2(V1a_2E0,F57_2E0) = V1a_2E0 )
& ! [V97x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V1a_2E0,V1a_2E0,V97x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V98x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(F58_2E0,V0b_2E0,V98x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V100x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(F59_2E0,V0b_2E0,V100x_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V100x_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V1a_2E0,F60_2E0) = c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1(V1a_2E0) )
& ! [V103x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,F61_2E0,V103x_2E0) = c_2Ebool_2EF_2E0 )
& ! [V105x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1a_2E0,V1a_2E0,V105x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E2(F62_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F63_2E0,V0b_2E0)) )
& ! [V108x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(F64_2E0,V0b_2E0,V108x_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V108x_2E0)) )
& ! [V110x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,F65_2E0,V110x_2E0) = c_2Ebool_2ET_2E0 )
& ! [V112x_2E0: tyop_2Enum_2Enum] : ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1a_2E0,F66_2E0,V112x_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V1a_2E0,V1a_2E0) = c_2EPast__Temporal__Logic_2EPALWAYS_2E1(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F67_2E0,V1a_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EMORE__EVENT,axiom,
! [F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))] :
( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V10t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V10t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V1a_2E0),V0b_2E0),V9t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V9t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V9t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V7t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V7t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V6t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V6t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V6t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V6t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V4t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V4t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V4t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V13t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V13t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V13t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V12t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V12t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V1a_2E0),V0b_2E0),V3t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V3t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V3t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V11t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V11t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V8t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V8t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V5t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V5t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V5t_2E0)) ) )
=> ( ! [V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V1a_2E0),V0b_2E0),V2t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1a_2E0,V2t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0b_2E0,V2t_2E0)) ) )
=> ! [V0b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ( c_2ETemporal__Logic_2EWHEN_2E2(V1a_2E0,V0b_2E0) = c_2ETemporal__Logic_2EWHEN_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2ETemporal__Logic_2EUNTIL_2E2(V1a_2E0,V0b_2E0) = c_2ETemporal__Logic_2EUNTIL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2ETemporal__Logic_2EBEFORE_2E2(V1a_2E0,V0b_2E0) = c_2ETemporal__Logic_2EBEFORE_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2ETemporal__Logic_2ESWHEN_2E2(V1a_2E0,V0b_2E0) = c_2ETemporal__Logic_2ESWHEN_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2ETemporal__Logic_2ESUNTIL_2E2(V1a_2E0,V0b_2E0) = c_2ETemporal__Logic_2ESUNTIL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2ETemporal__Logic_2ESBEFORE_2E2(V1a_2E0,V0b_2E0) = c_2ETemporal__Logic_2ESBEFORE_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2EPast__Temporal__Logic_2EPWHEN_2E2(V1a_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPWHEN_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E2(V1a_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPUNTIL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E2(V1a_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPBEFORE_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E2(V1a_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPSWHEN_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(V1a_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPSUNTIL_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V1a_2E0),V0b_2E0),V0b_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(V1a_2E0,V0b_2E0) = c_2EPast__Temporal__Logic_2EPSBEFORE_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V1a_2E0),V0b_2E0),V0b_2E0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2EIMMEDIATE__EVENT,axiom,
! [V0t_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V0t_2E0))
=> ( ( c_2ETemporal__Logic_2EWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0) )
& ( c_2ETemporal__Logic_2EUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2ETemporal__Logic_2EBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 )
& ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0)) )
& ( c_2ETemporal__Logic_2ESWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0) )
& ( c_2ETemporal__Logic_2ESUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2ETemporal__Logic_2ESBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 )
& ( p(c_2ETemporal__Logic_2ESBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 )
& ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0)) )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 )
& ( p(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V0t_2E0)) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ENO__FUTURE__EVENT,axiom,
! [F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))] :
( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1b_2E0),V2t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V2t_2E0)) )
=> ! [V0t0_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( p(c_2ETemporal__Logic_2EALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1b_2E0),V0t0_2E0))
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EWHEN_2E3(V3a_2E0,V1b_2E0,V0t0_2E0) = c_2Ebool_2ET_2E0 )
& ! [V4a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EUNTIL_2E3(V4a_2E0,V1b_2E0,V0t0_2E0) = c_2ETemporal__Logic_2EALWAYS_2E2(V4a_2E0,V0t0_2E0) )
& ! [V5a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EBEFORE_2E3(V5a_2E0,V1b_2E0,V0t0_2E0) = c_2Ebool_2ET_2E0 )
& ! [V6a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ESWHEN_2E3(V6a_2E0,V1b_2E0,V0t0_2E0) = c_2Ebool_2EF_2E0 )
& ! [V7a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ESUNTIL_2E3(V7a_2E0,V1b_2E0,V0t0_2E0) = c_2Ebool_2EF_2E0 )
& ! [V8a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2ESBEFORE_2E3(V8a_2E0,V1b_2E0,V0t0_2E0) = c_2ETemporal__Logic_2EEVENTUAL_2E2(V8a_2E0,V0t0_2E0) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ENO__PAST__EVENT,axiom,
! [F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V2a_2E0),V4t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V4t_2E0)) )
=> ( ! [V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1b_2E0),V3t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3t_2E0)) )
=> ! [V0t_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( p(c_2EPast__Temporal__Logic_2EPALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0,V1b_2E0),V0t_2E0))
=> ( ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPALWAYS_2E2(V2a_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2ET_2E0 )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPALWAYS_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F1_2E0,V2a_2E0),V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V2a_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0) = c_2Ebool_2EF_2E0 ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESOME__FUTURE__EVENT,axiom,
! [V0t0_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1b_2E0,V0t0_2E0))
<=> ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EWHEN_2E3(V2a_2E0,V1b_2E0,V0t0_2E0) = c_2ETemporal__Logic_2ESWHEN_2E3(V2a_2E0,V1b_2E0,V0t0_2E0) ) )
& ( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1b_2E0,V0t0_2E0))
<=> ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EUNTIL_2E3(V3a_2E0,V1b_2E0,V0t0_2E0) = c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,V1b_2E0,V0t0_2E0) ) )
& ( p(c_2ETemporal__Logic_2EEVENTUAL_2E2(V1b_2E0,V0t0_2E0))
<=> ! [V4a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] : ( c_2ETemporal__Logic_2EBEFORE_2E3(V4a_2E0,V1b_2E0,V0t0_2E0) = c_2ETemporal__Logic_2ESBEFORE_2E3(V4a_2E0,V1b_2E0,V0t0_2E0) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESOME__PAST__EVENT,axiom,
! [V0t_2E0: tyop_2Enum_2Enum,V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( p(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2(V1b_2E0,V0t_2E0))
=> ( ( c_2EPast__Temporal__Logic_2EPWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPSWHEN_2E3(V2a_2E0,V1b_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2a_2E0,V1b_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V2a_2E0,V1b_2E0,V0t_2E0) )
& ( c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0) = c_2EPast__Temporal__Logic_2EPSBEFORE_2E3(V1b_2E0,V2a_2E0,V0t_2E0) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESEPARATE__NEXT__THM,axiom,
! [F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V1b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V18t_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1b_2E0,V18t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V2a_2E0),V1b_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V16t_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1b_2E0,V16t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V24t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V2a_2E0),V0c_2E0),V24t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V24t_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V24t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V25t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V2a_2E0),V1b_2E0),V25t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V25t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V25t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V21t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V0c_2E0),V21t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V21t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V21t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V6t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V6t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V6t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1b_2E0,V6t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V4t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V4t_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1b_2E0,V4t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V0c_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V14t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V14t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V2a_2E0),V1b_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V10t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V10t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V0c_2E0),V9t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V9t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V9t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V20t_2E0))
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1b_2E0,V0c_2E0,V20t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V23t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V23t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V23t_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V0c_2E0,V23t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1b_2E0,V0c_2E0,V8t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V12t_2E0))
& p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V0c_2E0,V12t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V13t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V13t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V13t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V13t_2E0)) ) )
=> ! [V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V3x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V3x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V3x_2E0)) ) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2a_2E0),V1b_2E0),V5x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V5x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V5x_2E0)) ) )
& ! [V7x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V7x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V0c_2E0),V7x_2E0))
| ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1b_2E0,V0c_2E0,V7x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V2a_2E0),V1b_2E0),V7x_2E0)) ) ) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V11x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V11x_2E0))
| ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V0c_2E0,V11x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V0c_2E0),V11x_2E0)) ) ) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V2a_2E0),V1b_2E0),V15x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V15x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V15x_2E0)) ) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V1b_2E0),V17x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V17x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V2a_2E0,V17x_2E0)) ) )
& ! [V19x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V19x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V0c_2E0),V19x_2E0))
| ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1b_2E0,V0c_2E0,V19x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V19x_2E0)) ) ) )
& ! [V22x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V22x_2E0))
<=> ( p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V2a_2E0),V0c_2E0),V22x_2E0))
& ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1b_2E0,V0c_2E0,V22x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V2a_2E0),V1b_2E0),V22x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESEPARATE__SUNTIL__THM,axiom,
! [F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F20_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F17_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F15_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F23_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F22_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F16_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F19_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F28_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F29_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F21_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F26_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F27_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F18_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F25_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F24_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))))] :
( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V28t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V3a_2E0),V2b_2E0),V28t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V28t_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V28t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V25t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V3a_2E0),V2b_2E0),V25t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V25t_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2b_2E0,V25t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V39t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F20_2E0,V0d_2E0),V2b_2E0),V39t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V39t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V39t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V32t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F17_2E0,V0d_2E0),V1c_2E0),V32t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V32t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V32t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V29t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2b_2E0),V3a_2E0),V29t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V29t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V3a_2E0,V29t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V26t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V2b_2E0),V3a_2E0),V26t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V26t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V3a_2E0,V26t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2b_2E0),V1c_2E0),V5t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V5t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V5t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V40t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F23_2E0,V3a_2E0),V0d_2E0),V40t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V40t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V40t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V33t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F22_2E0,V3a_2E0),V0d_2E0),V33t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V33t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V33t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2b_2E0),V1c_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V10t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1c_2E0,V10t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2b_2E0),V1c_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V7t_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V7t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V3a_2E0),V1c_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V14t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V14t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V19t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V3a_2E0),V0d_2E0),V19t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V19t_2E0))
& ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V0d_2E0,V19t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V23t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V3a_2E0),V2b_2E0),V23t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V23t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V23t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V31t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F16_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V31t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V31t_2E0))
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2b_2E0,V1c_2E0,V31t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V38t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F19_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V38t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V38t_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2b_2E0,V1c_2E0,V38t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V13t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V13t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1c_2E0,V0d_2E0,V13t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V18t_2E0))
& p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1c_2E0,V0d_2E0,V18t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0,V3a_2E0),V1c_2E0),V2b_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V11t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V11t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V11t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0,V3a_2E0),V1c_2E0),V2b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V8t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V8t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V8t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V42t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F28_2E0,V0d_2E0),V2b_2E0),V42t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V42t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V42t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V43t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F29_2E0,V3a_2E0),V0d_2E0),V43t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V43t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V43t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V41t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F21_2E0,V1c_2E0),V0d_2E0),V2b_2E0),V3a_2E0),V41t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V41t_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F28_2E0,V0d_2E0),V2b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F29_2E0,V3a_2E0),V0d_2E0),V41t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V35t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F26_2E0,V0d_2E0),V1c_2E0),V35t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V35t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V35t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V36t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F27_2E0,V3a_2E0),V0d_2E0),V36t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V36t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V36t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V34t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F18_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V3a_2E0),V34t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V34t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V34t_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F26_2E0,V0d_2E0),V1c_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F27_2E0,V3a_2E0),V0d_2E0),V34t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F25_2E0,V3a_2E0),V1c_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V16t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V16t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F7_2E0,V0d_2E0),V3a_2E0),V1c_2E0),V2b_2E0),V15t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V15t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F25_2E0,V3a_2E0),V1c_2E0),V2b_2E0,V15t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V21t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F24_2E0,V3a_2E0),V0d_2E0),V21t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V21t_2E0))
& ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V0d_2E0,V21t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F10_2E0,V1c_2E0),V0d_2E0),V3a_2E0),V2b_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V20t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V20t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F24_2E0,V3a_2E0),V0d_2E0),V2b_2E0,V20t_2E0)) ) )
=> ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2b_2E0),V1c_2E0),V4x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,V2b_2E0,V4x_2E0))
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,V1c_2E0,V4x_2E0)) ) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2b_2E0),V1c_2E0),V6x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V6x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V6x_2E0)) )
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0,V3a_2E0),V1c_2E0),V2b_2E0),V6x_2E0)) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2b_2E0),V1c_2E0),V9x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V9x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1c_2E0,V9x_2E0)) )
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0,V3a_2E0),V1c_2E0),V2b_2E0),V9x_2E0)) ) )
& ! [V12x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V12x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1c_2E0,V0d_2E0,V12x_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V3a_2E0),V1c_2E0),V2b_2E0,V12x_2E0)) )
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F7_2E0,V0d_2E0),V3a_2E0),V1c_2E0),V2b_2E0),V12x_2E0)) ) )
& ! [V17x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V17x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1c_2E0,V0d_2E0,V17x_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V3a_2E0),V0d_2E0),V2b_2E0,V17x_2E0)) )
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F10_2E0,V1c_2E0),V0d_2E0),V3a_2E0),V2b_2E0),V17x_2E0)) ) )
& ! [V22x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V22x_2E0))
<=> ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V3a_2E0,V1c_2E0,V22x_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2b_2E0,V1c_2E0,V22x_2E0)) ) )
& ! [V24x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V24x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V24x_2E0))
| ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V24x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2b_2E0,V24x_2E0)) )
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V2b_2E0),V3a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V1c_2E0),V24x_2E0)) ) ) )
& ! [V27x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V27x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V27x_2E0))
| ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V27x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V27x_2E0)) )
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2b_2E0),V3a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V1c_2E0),V27x_2E0)) ) ) )
& ! [V30x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F16_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V0d_2E0,V30x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2b_2E0,V1c_2E0,V30x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F17_2E0,V0d_2E0),V1c_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F22_2E0,V3a_2E0),V0d_2E0),V30x_2E0)) )
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F18_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V3a_2E0),V0d_2E0,V30x_2E0)) ) )
& ! [V37x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F19_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V0d_2E0,V37x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2b_2E0,V1c_2E0,V37x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F20_2E0,V0d_2E0),V2b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F23_2E0,V3a_2E0),V0d_2E0),V37x_2E0)) )
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F21_2E0,V1c_2E0),V0d_2E0),V2b_2E0),V3a_2E0),V0d_2E0,V37x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESEPARATE__BEFORE__THM,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F22_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F19_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F16_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F17_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F15_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F25_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F24_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F21_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F18_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F30_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F31_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F23_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F29_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F27_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F28_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F20_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F26_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))))] :
( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1c_2E0),V16t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V16t_2E0)) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V22t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F11_2E0,V1c_2E0),V22t_2E0))
<=> ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V22t_2E0)) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V23t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V3a_2E0),V0d_2E0),V23t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V23t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V0d_2E0,V23t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V3a_2E0),V1c_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V17t_2E0))
| ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V17t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V3a_2E0),V2b_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V7t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V7t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2b_2E0),V1c_2E0),V5t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V5t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V5t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V41t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F22_2E0,V0d_2E0),V2b_2E0),V41t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V41t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V41t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V34t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F19_2E0,V0d_2E0),V1c_2E0),V34t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V34t_2E0))
& ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V34t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V2b_2E0),V1c_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V12t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1c_2E0,V12t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V30t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0,V3a_2E0),V2b_2E0),V30t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V30t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V30t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V9t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2b_2E0),V1c_2E0),V9t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V9t_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V9t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V27t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V3a_2E0),V2b_2E0),V27t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V27t_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2b_2E0,V27t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1c_2E0),V2b_2E0),V13t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V13t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V13t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1c_2E0),V2b_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V10t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V10t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V31t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F17_2E0,V2b_2E0),V3a_2E0),V31t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V31t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V3a_2E0,V31t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V28t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2b_2E0),V3a_2E0),V28t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V28t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V3a_2E0,V28t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V42t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F25_2E0,V3a_2E0),V0d_2E0),V42t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V42t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V42t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V35t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F24_2E0,V3a_2E0),V0d_2E0),V35t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V35t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V35t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V15t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V15t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V1c_2E0,V0d_2E0,V15t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V40t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F21_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V40t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V40t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2b_2E0,V1c_2E0,V40t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V33t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F18_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V33t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V33t_2E0))
& p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2b_2E0,V1c_2E0,V33t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V21t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V21t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V21t_2E0))
& p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V1c_2E0,V0d_2E0,V21t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V44t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F30_2E0,V0d_2E0),V2b_2E0),V44t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V44t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V44t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V45t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F31_2E0,V3a_2E0),V0d_2E0),V45t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V45t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V45t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V43t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F23_2E0,V1c_2E0),V0d_2E0),V2b_2E0),V3a_2E0),V43t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V43t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F30_2E0,V0d_2E0),V2b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F31_2E0,V3a_2E0),V0d_2E0),V43t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V19t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F29_2E0,V3a_2E0),V1c_2E0),V19t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V19t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V19t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F9_2E0,V0d_2E0),V3a_2E0),V1c_2E0),V2b_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V18t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F29_2E0,V3a_2E0),V1c_2E0),V2b_2E0,V18t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V37t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F27_2E0,V0d_2E0),V1c_2E0),V37t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V37t_2E0))
& ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V37t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V38t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F28_2E0,V3a_2E0),V0d_2E0),V38t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V38t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V38t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V36t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F20_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V3a_2E0),V36t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V36t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V36t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F27_2E0,V0d_2E0),V1c_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F28_2E0,V3a_2E0),V0d_2E0),V36t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V25t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F26_2E0,V3a_2E0),V0d_2E0),V25t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V25t_2E0))
& ~ p(c_2ETemporal__Logic_2ENEXT_2E2(V0d_2E0,V25t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V24t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F13_2E0,V1c_2E0),V0d_2E0),V3a_2E0),V2b_2E0),V24t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V24t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V24t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F26_2E0,V3a_2E0),V0d_2E0),V2b_2E0,V24t_2E0)) ) )
=> ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2b_2E0),V1c_2E0),V4x_2E0))
<=> ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,V2b_2E0,V4x_2E0))
& p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,V1c_2E0,V4x_2E0)) ) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V6x_2E0))
<=> ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,V1c_2E0,V6x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(V2b_2E0,V1c_2E0,V6x_2E0)) ) )
& ! [V8x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2b_2E0),V1c_2E0),V8x_2E0))
<=> ( ~ ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V8x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V8x_2E0)) )
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V8x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(c_2ETemporal__Logic_2ENEXT_2E1(V3a_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V1c_2E0),V2b_2E0),V8x_2E0)) ) ) )
& ! [V11x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V2b_2E0),V1c_2E0),V11x_2E0))
<=> ( ~ ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V11x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V1c_2E0,V11x_2E0)) )
& ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V11x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(c_2ETemporal__Logic_2ENEXT_2E1(V3a_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F5_2E0,V1c_2E0),V2b_2E0),V11x_2E0)) ) ) )
& ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V14x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F7_2E0,V1c_2E0),V0d_2E0,V14x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F8_2E0,V3a_2E0),V1c_2E0),V2b_2E0,V14x_2E0)) )
& p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F9_2E0,V0d_2E0),V3a_2E0),V1c_2E0),V2b_2E0),V14x_2E0)) ) )
& ! [V20x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V20x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F11_2E0,V1c_2E0),V0d_2E0,V20x_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V3a_2E0),V0d_2E0),V2b_2E0,V20x_2E0)) )
& p(c_2ETemporal__Logic_2EBEFORE_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F13_2E0,V1c_2E0),V0d_2E0),V3a_2E0),V2b_2E0),V20x_2E0)) ) )
& ! [V26x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F14_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V26x_2E0))
<=> ( ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V26x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V26x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2b_2E0,V26x_2E0)) )
| ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V26x_2E0))
& p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F15_2E0,V2b_2E0),V3a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V1c_2E0),V26x_2E0)) ) ) )
& ! [V29x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V29x_2E0))
<=> ( ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V29x_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V29x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V29x_2E0)) )
| ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V29x_2E0))
& p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F17_2E0,V2b_2E0),V3a_2E0),c_2ETemporal__Logic_2ENEXT_2E1(V1c_2E0),V29x_2E0)) ) ) )
& ! [V32x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F18_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V0d_2E0,V32x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(V2b_2E0,V1c_2E0,V32x_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F19_2E0,V0d_2E0),V1c_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F24_2E0,V3a_2E0),V0d_2E0),V32x_2E0)) )
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F20_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V3a_2E0),V0d_2E0,V32x_2E0)) ) )
& ! [V39x_2E0: tyop_2Enum_2Enum] :
( p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F21_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V0d_2E0,V39x_2E0))
<=> ( ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2b_2E0,V1c_2E0,V39x_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F22_2E0,V0d_2E0),V2b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F25_2E0,V3a_2E0),V0d_2E0),V39x_2E0)) )
| p(c_2ETemporal__Logic_2EBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F23_2E0,V1c_2E0),V0d_2E0),V2b_2E0),V3a_2E0),V0d_2E0,V39x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESEPARATE__PNEXT__THM,axiom,
! [F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))] :
( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V14t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V1b_2E0),V14t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V14t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V14t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V0c_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V20t_2E0))
| ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V20t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V0c_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V17t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V17t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V21t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V2a_2E0),V1b_2E0),V21t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V21t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V21t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V4t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V4t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V4t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1b_2E0,V4t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V2a_2E0),V0c_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V12t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V12t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V1b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V8t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V8t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V0c_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V7t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V7t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V16t_2E0))
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1b_2E0,V0c_2E0,V16t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V19t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V19t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V19t_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(V1b_2E0,V0c_2E0,V19t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V6t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V6t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V6t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1b_2E0,V0c_2E0,V6t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V10t_2E0))
& p(c_2ETemporal__Logic_2EBEFORE_2E3(V1b_2E0,V0c_2E0,V10t_2E0)) ) )
=> ( ! [V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2a_2E0,V11t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V11t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0c_2E0,V11t_2E0)) ) )
=> ! [V0c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V3x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2a_2E0),V1b_2E0),V3x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EInitPoint_2E1(V3x_2E0))
| ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V3x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V3x_2E0)) ) ) )
& ! [V5x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V5x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F2_2E0,V2a_2E0),V0c_2E0),V5x_2E0))
| ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1b_2E0,V0c_2E0,V5x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F3_2E0,V2a_2E0),V1b_2E0),V5x_2E0)) ) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V9x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V9x_2E0))
| ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1b_2E0,V0c_2E0,V9x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F6_2E0,V2a_2E0),V0c_2E0),V9x_2E0)) ) ) )
& ! [V13x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V2a_2E0),V1b_2E0),V13x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1b_2E0,V13x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V2a_2E0,V13x_2E0)) ) )
& ! [V15x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V15x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V2a_2E0),V0c_2E0),V15x_2E0))
| ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1b_2E0,V0c_2E0,V15x_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1b_2E0,V15x_2E0)) ) ) )
& ! [V18x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0,V2a_2E0),V1b_2E0),V0c_2E0),V18x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2a_2E0),V0c_2E0),V18x_2E0))
& ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1b_2E0,V0c_2E0,V18x_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F12_2E0,V2a_2E0),V1b_2E0),V18x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
tff(thm_2EPast__Temporal__Logic_2ESEPARATE__PSUNTIL__THM,axiom,
! [F16_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F13_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F11_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F10_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F19_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F18_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F4_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F7_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F9_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F15_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F3_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F6_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F2_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F24_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F25_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F17_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F22_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F23_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F14_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F21_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F5_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))))),F20_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F8_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))))] :
( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V33t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0,V0d_2E0),V2b_2E0),V33t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V33t_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V33t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V26t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V0d_2E0),V1c_2E0),V26t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V26t_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V26t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V23t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2b_2E0),V3a_2E0),V23t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V23t_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V3a_2E0,V23t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V22t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V3a_2E0),V2b_2E0),V22t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V22t_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V22t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V5t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2b_2E0),V1c_2E0),V5t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V5t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V5t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V34t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F19_2E0,V3a_2E0),V0d_2E0),V34t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V34t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V34t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V27t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F18_2E0,V3a_2E0),V0d_2E0),V27t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V27t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V27t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V11t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V3a_2E0),V1c_2E0),V11t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V11t_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V11t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V7t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2b_2E0),V1c_2E0),V7t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V7t_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V7t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V16t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V3a_2E0),V0d_2E0),V16t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V16t_2E0))
& ~ p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0d_2E0,V16t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V20t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V3a_2E0),V2b_2E0),V20t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V20t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V20t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V25t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V25t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V25t_2E0))
| p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2b_2E0,V1c_2E0,V25t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V32t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F15_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V32t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V32t_2E0))
| p(c_2ETemporal__Logic_2EBEFORE_2E3(V2b_2E0,V1c_2E0,V32t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V10t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V10t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V10t_2E0))
& p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1c_2E0,V0d_2E0,V10t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V15t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V15t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V15t_2E0))
& p(c_2ETemporal__Logic_2EBEFORE_2E3(V1c_2E0,V0d_2E0,V15t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V8t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0,V3a_2E0),V1c_2E0),V2b_2E0),V8t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V8t_2E0))
& p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V8t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V8t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V36t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F24_2E0,V0d_2E0),V2b_2E0),V36t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V36t_2E0))
| p(c_2EPast__Temporal__Logic_2EPSNEXT_2E2(V2b_2E0,V36t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V37t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F25_2E0,V3a_2E0),V0d_2E0),V37t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V37t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V37t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V35t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F17_2E0,V1c_2E0),V0d_2E0),V2b_2E0),V3a_2E0),V35t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V35t_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F24_2E0,V0d_2E0),V2b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F25_2E0,V3a_2E0),V0d_2E0),V35t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V29t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F22_2E0,V0d_2E0),V1c_2E0),V29t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V29t_2E0))
| p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V29t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V30t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F23_2E0,V3a_2E0),V0d_2E0),V30t_2E0))
<=> ( ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V30t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V30t_2E0)) ) )
=> ( ! [V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V28t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F14_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V3a_2E0),V28t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V28t_2E0))
| p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V28t_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F22_2E0,V0d_2E0),V1c_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F23_2E0,V3a_2E0),V0d_2E0),V28t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V13t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F21_2E0,V3a_2E0),V1c_2E0),V13t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V13t_2E0))
& p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V1c_2E0,V13t_2E0)) ) )
=> ( ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V12t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F5_2E0,V0d_2E0),V3a_2E0),V1c_2E0),V2b_2E0),V12t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V12t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F21_2E0,V3a_2E0),V1c_2E0),V2b_2E0,V12t_2E0)) ) )
=> ( ! [V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V18t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F20_2E0,V3a_2E0),V0d_2E0),V18t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V18t_2E0))
& ~ p(c_2EPast__Temporal__Logic_2EPNEXT_2E2(V0d_2E0,V18t_2E0)) ) )
=> ( ! [V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V17t_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F8_2E0,V1c_2E0),V0d_2E0),V3a_2E0),V2b_2E0),V17t_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V17t_2E0))
& ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V0d_2E0,V17t_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F20_2E0,V3a_2E0),V0d_2E0),V2b_2E0,V17t_2E0)) ) )
=> ! [V0d_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V1c_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V2b_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V3a_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V4x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0,V2b_2E0),V1c_2E0),V4x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,V2b_2E0,V4x_2E0))
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,V1c_2E0,V4x_2E0)) ) )
& ! [V6x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F1_2E0,V2b_2E0),V1c_2E0),V6x_2E0))
<=> ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V2b_2E0,V6x_2E0))
& p(c_2ETemporal__Logic_2ENEXT_2E2(V1c_2E0,V6x_2E0)) )
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F2_2E0,V3a_2E0),V1c_2E0),V2b_2E0),V6x_2E0)) ) )
& ! [V9x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F3_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V9x_2E0))
<=> ( ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V1c_2E0,V0d_2E0,V9x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F4_2E0,V3a_2E0),V1c_2E0),V2b_2E0,V9x_2E0)) )
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F5_2E0,V0d_2E0),V3a_2E0),V1c_2E0),V2b_2E0),V9x_2E0)) ) )
& ! [V14x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F6_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V14x_2E0))
<=> ( ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V1c_2E0,V0d_2E0,V14x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F7_2E0,V3a_2E0),V0d_2E0),V2b_2E0,V14x_2E0)) )
| p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F8_2E0,V1c_2E0),V0d_2E0),V3a_2E0),V2b_2E0),V14x_2E0)) ) )
& ! [V19x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F9_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V19x_2E0))
<=> ( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V3a_2E0,V1c_2E0,V19x_2E0))
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(V2b_2E0,V1c_2E0,V19x_2E0)) ) )
& ! [V21x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F10_2E0,V3a_2E0),V2b_2E0),V1c_2E0,V21x_2E0))
<=> ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V1c_2E0,V21x_2E0))
| ( ( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,V3a_2E0,V21x_2E0))
| p(c_2ETemporal__Logic_2ENEXT_2E2(V2b_2E0,V21x_2E0)) )
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F11_2E0,V2b_2E0),V3a_2E0),c_2EPast__Temporal__Logic_2EPSNEXT_2E1(V1c_2E0),V21x_2E0)) ) ) )
& ! [V24x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F12_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V0d_2E0,V24x_2E0))
<=> ( ( p(c_2ETemporal__Logic_2ESUNTIL_2E3(V2b_2E0,V1c_2E0,V24x_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F13_2E0,V0d_2E0),V1c_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F18_2E0,V3a_2E0),V0d_2E0),V24x_2E0)) )
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F14_2E0,V2b_2E0),V1c_2E0),V0d_2E0),V3a_2E0),V0d_2E0,V24x_2E0)) ) )
& ! [V31x_2E0: tyop_2Enum_2Enum] :
( p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F15_2E0,V3a_2E0),V2b_2E0),V1c_2E0),V0d_2E0,V31x_2E0))
<=> ( ( p(c_2ETemporal__Logic_2EBEFORE_2E3(V2b_2E0,V1c_2E0,V31x_2E0))
| p(c_2EPast__Temporal__Logic_2EPBEFORE_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F16_2E0,V0d_2E0),V2b_2E0),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F19_2E0,V3a_2E0),V0d_2E0),V31x_2E0)) )
& p(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3(app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),F17_2E0,V1c_2E0),V0d_2E0),V2b_2E0),V3a_2E0),V0d_2E0,V31x_2E0)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
%------------------------------------------------------------------------------