ITP001 Axioms: ITP061^4.ax
%------------------------------------------------------------------------------
% File : ITP061^4 : 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]
% : HL4061^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 265 ( 54 unt; 161 typ; 0 def)
% Number of atoms : 2015 ( 369 equ; 291 cnn)
% Maximal formula atoms : 148 ( 7 avg)
% Number of connectives : 8150 ( 291 ~; 183 |; 652 &;6062 @)
% ( 545 <=>; 417 =>; 0 <=; 0 <~>)
% Maximal formula depth : 215 ( 17 avg;6062 nst)
% Number of types : 5 ( 4 usr)
% Number of type conns : 2690 (2690 >; 0 *; 0 +; 0 <<)
% Number of symbols : 159 ( 157 usr; 43 con; 0-6 aty)
% Number of variables : 1852 ( 0 ^1844 !; 8 ?;1852 :)
% SPC : TH0_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(u,type,
u: $tType ).
thf(d,type,
d: $tType ).
thf(du,type,
du: $tType ).
thf(mono_2Etyop_2Enum_2Enum,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: d > d > d ).
thf(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: d ).
thf(s,type,
s: d > u > du ).
thf(app_2E2,type,
app_2E2: du > du > u ).
thf(combin_i_2E0,type,
combin_i_2E0: u ).
thf(combin_k_2E0,type,
combin_k_2E0: u ).
thf(combin_s_2E0,type,
combin_s_2E0: u ).
thf(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: u ).
thf(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
thf(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
thf(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(c_2ETemporal__Logic_2EALWAYS_2E0,type,
c_2ETemporal__Logic_2EALWAYS_2E0: u ).
thf(c_2ETemporal__Logic_2EALWAYS_2E1,type,
c_2ETemporal__Logic_2EALWAYS_2E1: du > u ).
thf(c_2ETemporal__Logic_2EALWAYS_2E2,type,
c_2ETemporal__Logic_2EALWAYS_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2EBEFORE_2E0,type,
c_2ETemporal__Logic_2EBEFORE_2E0: u ).
thf(c_2ETemporal__Logic_2EBEFORE_2E2,type,
c_2ETemporal__Logic_2EBEFORE_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2EBEFORE_2E3,type,
c_2ETemporal__Logic_2EBEFORE_2E3: du > du > du > u ).
thf(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: u ).
thf(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(c_2ETemporal__Logic_2EEVENTUAL_2E0,type,
c_2ETemporal__Logic_2EEVENTUAL_2E0: u ).
thf(c_2ETemporal__Logic_2EEVENTUAL_2E1,type,
c_2ETemporal__Logic_2EEVENTUAL_2E1: du > u ).
thf(c_2ETemporal__Logic_2EEVENTUAL_2E2,type,
c_2ETemporal__Logic_2EEVENTUAL_2E2: du > du > u ).
thf(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EInitPoint_2E0,type,
c_2EPast__Temporal__Logic_2EInitPoint_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EInitPoint_2E1,type,
c_2EPast__Temporal__Logic_2EInitPoint_2E1: du > u ).
thf(c_2ETemporal__Logic_2ENEXT_2E0,type,
c_2ETemporal__Logic_2ENEXT_2E0: u ).
thf(c_2ETemporal__Logic_2ENEXT_2E1,type,
c_2ETemporal__Logic_2ENEXT_2E1: du > u ).
thf(c_2ETemporal__Logic_2ENEXT_2E2,type,
c_2ETemporal__Logic_2ENEXT_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPALWAYS_2E0,type,
c_2EPast__Temporal__Logic_2EPALWAYS_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPALWAYS_2E1,type,
c_2EPast__Temporal__Logic_2EPALWAYS_2E1: du > u ).
thf(c_2EPast__Temporal__Logic_2EPALWAYS_2E2,type,
c_2EPast__Temporal__Logic_2EPALWAYS_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPBEFORE_2E0,type,
c_2EPast__Temporal__Logic_2EPBEFORE_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPBEFORE_2E2,type,
c_2EPast__Temporal__Logic_2EPBEFORE_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPBEFORE_2E3,type,
c_2EPast__Temporal__Logic_2EPBEFORE_2E3: du > du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E0,type,
c_2EPast__Temporal__Logic_2EPEVENTUAL_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1,type,
c_2EPast__Temporal__Logic_2EPEVENTUAL_2E1: du > u ).
thf(c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2,type,
c_2EPast__Temporal__Logic_2EPEVENTUAL_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPNEXT_2E0,type,
c_2EPast__Temporal__Logic_2EPNEXT_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPNEXT_2E1,type,
c_2EPast__Temporal__Logic_2EPNEXT_2E1: du > u ).
thf(c_2EPast__Temporal__Logic_2EPNEXT_2E2,type,
c_2EPast__Temporal__Logic_2EPNEXT_2E2: du > du > u ).
thf(c_2Eprim__rec_2EPRE_2E0,type,
c_2Eprim__rec_2EPRE_2E0: u ).
thf(c_2Eprim__rec_2EPRE_2E1,type,
c_2Eprim__rec_2EPRE_2E1: du > u ).
thf(c_2EPast__Temporal__Logic_2EPSBEFORE_2E0,type,
c_2EPast__Temporal__Logic_2EPSBEFORE_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPSBEFORE_2E2,type,
c_2EPast__Temporal__Logic_2EPSBEFORE_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPSBEFORE_2E3,type,
c_2EPast__Temporal__Logic_2EPSBEFORE_2E3: du > du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPSNEXT_2E0,type,
c_2EPast__Temporal__Logic_2EPSNEXT_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPSNEXT_2E1,type,
c_2EPast__Temporal__Logic_2EPSNEXT_2E1: du > u ).
thf(c_2EPast__Temporal__Logic_2EPSNEXT_2E2,type,
c_2EPast__Temporal__Logic_2EPSNEXT_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPSUNTIL_2E0,type,
c_2EPast__Temporal__Logic_2EPSUNTIL_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPSUNTIL_2E2,type,
c_2EPast__Temporal__Logic_2EPSUNTIL_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPSUNTIL_2E3,type,
c_2EPast__Temporal__Logic_2EPSUNTIL_2E3: du > du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPSWHEN_2E0,type,
c_2EPast__Temporal__Logic_2EPSWHEN_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPSWHEN_2E2,type,
c_2EPast__Temporal__Logic_2EPSWHEN_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPSWHEN_2E3,type,
c_2EPast__Temporal__Logic_2EPSWHEN_2E3: du > du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPUNTIL_2E0,type,
c_2EPast__Temporal__Logic_2EPUNTIL_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPUNTIL_2E2,type,
c_2EPast__Temporal__Logic_2EPUNTIL_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPUNTIL_2E3,type,
c_2EPast__Temporal__Logic_2EPUNTIL_2E3: du > du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPWHEN_2E0,type,
c_2EPast__Temporal__Logic_2EPWHEN_2E0: u ).
thf(c_2EPast__Temporal__Logic_2EPWHEN_2E2,type,
c_2EPast__Temporal__Logic_2EPWHEN_2E2: du > du > u ).
thf(c_2EPast__Temporal__Logic_2EPWHEN_2E3,type,
c_2EPast__Temporal__Logic_2EPWHEN_2E3: du > du > du > u ).
thf(c_2ETemporal__Logic_2ESBEFORE_2E0,type,
c_2ETemporal__Logic_2ESBEFORE_2E0: u ).
thf(c_2ETemporal__Logic_2ESBEFORE_2E2,type,
c_2ETemporal__Logic_2ESBEFORE_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2ESBEFORE_2E3,type,
c_2ETemporal__Logic_2ESBEFORE_2E3: du > du > du > u ).
thf(c_2ETemporal__Logic_2ESUNTIL_2E0,type,
c_2ETemporal__Logic_2ESUNTIL_2E0: u ).
thf(c_2ETemporal__Logic_2ESUNTIL_2E2,type,
c_2ETemporal__Logic_2ESUNTIL_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2ESUNTIL_2E3,type,
c_2ETemporal__Logic_2ESUNTIL_2E3: du > du > du > u ).
thf(c_2ETemporal__Logic_2ESWHEN_2E0,type,
c_2ETemporal__Logic_2ESWHEN_2E0: u ).
thf(c_2ETemporal__Logic_2ESWHEN_2E2,type,
c_2ETemporal__Logic_2ESWHEN_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2ESWHEN_2E3,type,
c_2ETemporal__Logic_2ESWHEN_2E3: du > du > du > u ).
thf(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
thf(c_2ETemporal__Logic_2EUNTIL_2E0,type,
c_2ETemporal__Logic_2EUNTIL_2E0: u ).
thf(c_2ETemporal__Logic_2EUNTIL_2E2,type,
c_2ETemporal__Logic_2EUNTIL_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2EUNTIL_2E3,type,
c_2ETemporal__Logic_2EUNTIL_2E3: du > du > du > u ).
thf(c_2ETemporal__Logic_2EWHEN_2E0,type,
c_2ETemporal__Logic_2EWHEN_2E0: u ).
thf(c_2ETemporal__Logic_2EWHEN_2E2,type,
c_2ETemporal__Logic_2EWHEN_2E2: du > du > u ).
thf(c_2ETemporal__Logic_2EWHEN_2E3,type,
c_2ETemporal__Logic_2EWHEN_2E3: du > du > du > u ).
thf(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
thf(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o > $o ) > $o > $o > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2E_2F_5C,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(mono_2Ec_2Enum_2E0,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Eprim__rec_2E_3C,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(mono_2Ec_2ETemporal__Logic_2EALWAYS,type,
mono_2Ec_2ETemporal__Logic_2EALWAYS: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2ETemporal__Logic_2EBEFORE,type,
mono_2Ec_2ETemporal__Logic_2EBEFORE: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o ).
thf(mono_2Ec_2ETemporal__Logic_2EEVENTUAL,type,
mono_2Ec_2ETemporal__Logic_2EEVENTUAL: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Ebool_2EF,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EInitPoint,type,
mono_2Ec_2EPast__Temporal__Logic_2EInitPoint: mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2ETemporal__Logic_2ENEXT,type,
mono_2Ec_2ETemporal__Logic_2ENEXT: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS,type,
mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE,type,
mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL,type,
mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPNEXT,type,
mono_2Ec_2EPast__Temporal__Logic_2EPNEXT: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Eprim__rec_2EPRE,type,
mono_2Ec_2Eprim__rec_2EPRE: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE,type,
mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT,type,
mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL,type,
mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN,type,
mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL,type,
mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2EPast__Temporal__Logic_2EPWHEN,type,
mono_2Ec_2EPast__Temporal__Logic_2EPWHEN: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2ETemporal__Logic_2ESBEFORE,type,
mono_2Ec_2ETemporal__Logic_2ESBEFORE: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2ETemporal__Logic_2ESUNTIL,type,
mono_2Ec_2ETemporal__Logic_2ESUNTIL: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2ETemporal__Logic_2ESWHEN,type,
mono_2Ec_2ETemporal__Logic_2ESWHEN: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Ebool_2ET,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(mono_2Ec_2ETemporal__Logic_2EUNTIL,type,
mono_2Ec_2ETemporal__Logic_2EUNTIL: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2ETemporal__Logic_2EWHEN,type,
mono_2Ec_2ETemporal__Logic_2EWHEN: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Ebool_2E_5C_2F,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(mono_2Ec_2Ebool_2E_7E,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > $o > $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Enum_2Enum,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Enum_2Enum,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(reserved_2Eho_2Eeq__ext,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
( ! [V2x_2E0: u] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
thf(reserved_2Eho_2Ei__thm,axiom,
! [A_27a: d,V0x_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Ek__thm,axiom,
! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Es__thm,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( 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 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
thf(reserved_2Elogic_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(reserved_2Elogic_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(reserved_2Elogic_2E_7E,axiom,
! [V0: $o] :
( ( mono_2Ec_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(reserved_2Elogic_2E_3D,axiom,
! [A_27a: d,V0_2E0: u,V1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) ).
thf(reserved_2Equant_2E_21,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
= ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: $o > $o > $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
= V0 ) ).
thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o > $o,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ 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 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_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 ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o,V1: $o,V2: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V2 ) ) ) ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(thm_2EPast__Temporal__Logic_2EInitPoint,axiom,
! [V0x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V0x )
<=> ( V0x = mono_2Ec_2Enum_2E0 ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSNEXT,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0a @ V1t0 )
<=> ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V1t0 )
& ( V0a @ ( mono_2Ec_2Eprim__rec_2EPRE @ V1t0 ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPNEXT,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0a @ V1t0 )
<=> ( ( V1t0 = mono_2Ec_2Enum_2E0 )
| ( V0a @ ( mono_2Ec_2Eprim__rec_2EPRE @ V1t0 ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPALWAYS,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V0a @ V1t0 )
<=> ! [V2t: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2t @ V1t0 )
=> ( V0a @ V2t ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPEVENTUAL,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a @ V1t0 )
<=> ? [V2t: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2t @ V1t0 )
& ( V0a @ V2t ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSWHEN,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V0a @ V1b @ V2t0 )
<=> ? [V3delta: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3delta @ V2t0 )
& ( V0a @ V3delta )
& ( V1b @ V3delta )
& ! [V4t: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ V3delta @ V4t )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4t @ V2t0 ) )
=> ( (~) @ ( V1b @ V4t ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSUNTIL,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V0a @ V1b @ V2t0 )
<=> ? [V3delta: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3delta @ V2t0 )
& ( V1b @ V3delta )
& ! [V4t: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ V3delta @ V4t )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4t @ V2t0 ) )
=> ( ( V0a @ V4t )
& ( (~) @ ( V1b @ V4t ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSBEFORE,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0a @ V1b @ V2t0 )
<=> ? [V3delta: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3delta @ V2t0 )
& ( V0a @ V3delta )
& ! [V4t: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3delta @ V4t )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4t @ V2t0 ) )
=> ( (~) @ ( V1b @ V4t ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPWHEN,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V0a @ V1b @ V2t0 )
<=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3t @ V2t0 )
=> ( (~) @ ( V1b @ V3t ) ) )
| ? [V4delta: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4delta @ V2t0 )
& ( V0a @ V4delta )
& ( V1b @ V4delta )
& ! [V5t: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4delta @ V5t )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V5t @ V2t0 ) )
=> ( (~) @ ( V1b @ V5t ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPUNTIL,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V0a @ V1b @ V2t0 )
<=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3t @ V2t0 )
=> ( V0a @ V3t ) )
| ? [V4delta: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4delta @ V2t0 )
& ( V1b @ V4delta )
& ! [V5t: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4delta @ V5t )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V5t @ V2t0 ) )
=> ( ( V0a @ V5t )
& ( (~) @ ( V1b @ V5t ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPBEFORE,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0a @ V1b @ V2t0 )
<=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3t @ V2t0 )
=> ( (~) @ ( V1b @ V3t ) ) )
| ? [V4delta: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4delta @ V2t0 )
& ( V0a @ V4delta )
& ! [V5t: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4delta @ V5t )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V5t @ V2t0 ) )
=> ( (~) @ ( V1b @ V5t ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EINITIALISATION,axiom,
! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a @ mono_2Ec_2Enum_2E0 )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1a @ mono_2Ec_2Enum_2E0 )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ mono_2Ec_2Enum_2E0 )
= ( V1a @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ mono_2Ec_2Enum_2E0 )
= ( V1a @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ mono_2Ec_2Enum_2E0 )
= ( V0b @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ mono_2Ec_2Enum_2E0 )
<=> ( ( V1a @ mono_2Ec_2Enum_2E0 )
& ( V0b @ mono_2Ec_2Enum_2E0 ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ mono_2Ec_2Enum_2E0 )
<=> ( ( V1a @ mono_2Ec_2Enum_2E0 )
& ( (~) @ ( V0b @ mono_2Ec_2Enum_2E0 ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ mono_2Ec_2Enum_2E0 )
<=> ( ( V1a @ mono_2Ec_2Enum_2E0 )
| ( V0b @ mono_2Ec_2Enum_2E0 ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ mono_2Ec_2Enum_2E0 )
<=> ( ( V1a @ mono_2Ec_2Enum_2E0 )
| ( (~) @ ( V0b @ mono_2Ec_2Enum_2E0 ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ mono_2Ec_2Enum_2E0 )
<=> ( (~) @ ( V0b @ mono_2Ec_2Enum_2E0 ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ERECURSION,axiom,
! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
<=> ( ( V1a @ V2x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a ) @ V2x ) ) )
& ! [V3x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V3x )
<=> ( ( V1a @ V3x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) @ V3x ) ) )
& ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V4x )
<=> ( ( (~) @ ( V0b @ V4x ) )
=> ( ( V1a @ V4x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b ) @ V4x ) ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V5x )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V0b @ V5x ) @ ( V1a @ V5x ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b ) @ V5x ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V6x )
<=> ( ( (~) @ ( V0b @ V6x ) )
& ( ( V1a @ V6x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b ) @ V6x ) ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V7x )
<=> ( ( (~) @ ( V0b @ V7x ) )
=> ( ( V1a @ V7x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b ) @ V7x ) ) ) )
& ! [V8x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V8x )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V0b @ V8x ) @ ( V1a @ V8x ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b ) @ V8x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V9x )
<=> ( ( (~) @ ( V0b @ V9x ) )
& ( ( V1a @ V9x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b ) @ V9x ) ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V10x )
<=> ( ( V1a @ V10x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a ) @ V10x ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V11x )
<=> ( ( V1a @ V11x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) @ V11x ) ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V12x )
<=> ( ( V0b @ V12x )
| ( ( V1a @ V12x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b ) @ V12x ) ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V13x )
<=> ( ( ( V1a @ V13x )
& ( V0b @ V13x ) )
| ( ( (~) @ ( V0b @ V13x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b ) @ V13x ) ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V14x )
<=> ( ( (~) @ ( V0b @ V14x ) )
& ( ( V1a @ V14x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b ) @ V14x ) ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V15x )
<=> ( ( V0b @ V15x )
| ( ( V1a @ V15x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b ) @ V15x ) ) ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V16x )
<=> ( ( ( V1a @ V16x )
& ( V0b @ V16x ) )
| ( ( (~) @ ( V0b @ V16x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b ) @ V16x ) ) ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V17x )
<=> ( ( (~) @ ( V0b @ V17x ) )
& ( ( V1a @ V17x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b ) @ V17x ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EFIXPOINTS,axiom,
! [V0y: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( ! [V3x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V3x )
<=> ( ( V2a @ V3x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0y @ V3x ) ) )
<=> ( ( V0y
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V2a ) )
| ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V4x )
= mono_2Ec_2Ebool_2EF ) ) )
& ( ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V5x )
<=> ( ( V2a @ V5x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0y @ V5x ) ) )
<=> ( ( V0y
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V2a ) )
| ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V6x )
= mono_2Ec_2Ebool_2ET ) ) )
& ( ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V7x )
<=> ( ( (~) @ ( V1b @ V7x ) )
=> ( ( V2a @ V7x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0y @ V7x ) ) ) )
<=> ( ( V0y
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b ) )
| ( V0y
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b ) ) ) )
& ( ! [V8x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V8x )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V1b @ V8x ) @ ( V2a @ V8x ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0y @ V8x ) ) )
<=> ( ( V0y
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b ) )
| ( V0y
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b ) ) ) )
& ( ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V9x )
<=> ( ( (~) @ ( V1b @ V9x ) )
& ( ( V2a @ V9x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0y @ V9x ) ) ) )
<=> ( ( V0y
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b ) )
| ( V0y
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b ) ) ) )
& ( ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V10x )
<=> ( ( V2a @ V10x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0y @ V10x ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V2a ) ) )
& ( ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V11x )
<=> ( ( V2a @ V11x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0y @ V11x ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V2a ) ) )
& ( ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V12x )
<=> ( ( V1b @ V12x )
| ( ( V2a @ V12x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0y @ V12x ) ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V1b ) ) )
& ( ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V13x )
<=> ( ( ( V2a @ V13x )
& ( V1b @ V13x ) )
| ( ( (~) @ ( V1b @ V13x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0y @ V13x ) ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V1b ) ) )
& ( ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V14x )
<=> ( ( (~) @ ( V1b @ V14x ) )
& ( ( V2a @ V14x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0y @ V14x ) ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ V1b ) ) )
& ( ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V15x )
<=> ( ( V1b @ V15x )
| ( ( V2a @ V15x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0y @ V15x ) ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V1b ) ) )
& ( ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V16x )
<=> ( ( ( V2a @ V16x )
& ( V1b @ V16x ) )
| ( ( (~) @ ( V1b @ V16x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0y @ V16x ) ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V1b ) ) )
& ( ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( V0y @ V17x )
<=> ( ( (~) @ ( V1b @ V17x ) )
& ( ( V2a @ V17x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0y @ V17x ) ) ) )
<=> ( V0y
= ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ V1b ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESUNTIL__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V19t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V0b @ V19t )
<=> ( (~) @ ( V0b @ V19t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0b @ V16t )
<=> ( (~) @ ( V0b @ V16t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V14t )
<=> ( (~) @ ( V1a @ V14t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V0b @ V8t )
<=> ( (~) @ ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V11t )
<=> ( ( (~) @ ( V1a @ V11t ) )
| ( (~) @ ( V0b @ V11t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V9t )
<=> ( ( (~) @ ( V1a @ V9t ) )
& ( (~) @ ( V0b @ V9t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V12t )
<=> ( ( (~) @ ( V1a @ V12t ) )
& ( V0b @ V12t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V1a @ V0b @ V20t )
<=> ( ( V1a @ V20t )
& ( (~) @ ( V0b @ V20t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V1a @ V0b @ V17t )
<=> ( ( V1a @ V17t )
& ( V0b @ V17t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F0 @ ( F7 @ V1a ) @ V2x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V5x )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F1 @ V1a @ V5x ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F2 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V7x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V10x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F3 @ V1a @ V0b ) @ ( F9 @ V1a @ V0b ) @ V10x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V13x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F4 @ V1a ) @ V0b @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V15x )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F5 @ V0b ) @ ( F10 @ V1a @ V0b ) @ V15x ) )
& ! [V18x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V18x )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F6 @ V0b ) @ ( F11 @ V1a @ V0b ) @ V18x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EUNTIL__EXPRESSIVE,axiom,
! [F7: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V20t )
<=> ( (~) @ ( V1a @ V20t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0b @ V17t )
<=> ( (~) @ ( V0b @ V17t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V0b @ V11t )
<=> ( (~) @ ( V0b @ V11t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V0b @ V8t )
<=> ( (~) @ ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V1a @ V5t )
<=> ( (~) @ ( V1a @ V5t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V14t )
<=> ( ( (~) @ ( V1a @ V14t ) )
| ( (~) @ ( V0b @ V14t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V9t )
<=> ( ( (~) @ ( V1a @ V9t ) )
& ( (~) @ ( V0b @ V9t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V1a @ V0b @ V15t )
<=> ( ( (~) @ ( V1a @ V15t ) )
& ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V1a @ V0b @ V18t )
<=> ( ( V1a @ V18t )
& ( (~) @ ( V0b @ V18t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V12t )
<=> ( ( V1a @ V12t )
& ( V0b @ V12t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ F0 @ V2x ) )
& ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V4x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F1 @ V1a ) @ F7 @ V4x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F2 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V7x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V10x )
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F3 @ V0b ) @ ( F9 @ V1a @ V0b ) @ V10x ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V13x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F4 @ V1a @ V0b ) @ ( F10 @ V1a @ V0b ) @ V13x ) ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V16x )
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F5 @ V0b ) @ ( F11 @ V1a @ V0b ) @ V16x ) )
& ! [V19x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V19x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F6 @ V1a ) @ V0b @ V19x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EWHEN__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0b @ V15t )
<=> ( (~) @ ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V13t )
<=> ( (~) @ ( V1a @ V13t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V0b @ V8t )
<=> ( (~) @ ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V16t )
<=> ( ( V1a @ V16t )
| ( V0b @ V16t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V18t )
<=> ( ( V1a @ V18t )
| ( V0b @ V18t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V9t )
<=> ( ( V1a @ V9t )
=> ( V0b @ V9t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V11t )
<=> ( ( V1a @ V11t )
=> ( V0b @ V11t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F0 @ ( F7 @ V1a ) @ V2x ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V5x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F1 @ V1a @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F2 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V7x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V10x )
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V0b @ ( F3 @ V1a @ V0b ) @ V10x ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V12x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F4 @ V1a ) @ V0b @ V12x ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V14x )
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F5 @ V0b ) @ ( F9 @ V1a @ V0b ) @ V14x ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V17x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V0b @ ( F6 @ V1a @ V0b ) @ V17x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESWHEN__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V0b @ V17t )
<=> ( (~) @ ( V0b @ V17t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V13t )
<=> ( (~) @ ( V1a @ V13t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V0b @ V10t )
<=> ( (~) @ ( V0b @ V10t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V18t )
<=> ( ( V1a @ V18t )
| ( V0b @ V18t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V15t )
<=> ( ( V1a @ V15t )
| ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V11t )
<=> ( ( V1a @ V11t )
=> ( V0b @ V11t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V8t )
<=> ( ( V1a @ V8t )
=> ( V0b @ V8t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F0 @ ( F7 @ V1a ) @ V2x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V5x )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F1 @ V1a @ V5x ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V7x )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0b @ ( F2 @ V1a @ V0b ) @ V7x ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V9x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F3 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V9x ) ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V12x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F4 @ V1a ) @ V0b @ V12x ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V14x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0b @ ( F5 @ V1a @ V0b ) @ V14x ) ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V16x )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F6 @ V0b ) @ ( F9 @ V1a @ V0b ) @ V16x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EBEFORE__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V8t )
<=> ( (~) @ ( V1a @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V10t )
<=> ( ( (~) @ ( V1a @ V10t ) )
& ( (~) @ ( V0b @ V10t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V15t )
<=> ( ( (~) @ ( V1a @ V15t ) )
& ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V17t )
<=> ( ( V1a @ V17t )
& ( (~) @ ( V0b @ V17t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V14t )
<=> ( ( V1a @ V14t )
& ( V0b @ V14t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V12t )
<=> ( ( V1a @ V12t )
& ( V0b @ V12t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F0 @ ( F7 @ V1a ) @ V2x ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V5x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F1 @ V1a @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F2 @ V1a ) @ V0b @ V7x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V9x )
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0b @ ( F3 @ V1a @ V0b ) @ V9x ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V11x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0b @ ( F4 @ V1a @ V0b ) @ V11x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V13x )
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F5 @ V1a @ V0b ) @ ( F8 @ V1a @ V0b ) @ V13x ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V16x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0b @ ( F6 @ V1a @ V0b ) @ V16x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESBEFORE__EXPRESSIVE,axiom,
! [F7: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V4t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V10t )
<=> ( (~) @ ( V1a @ V10t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1a @ V3t )
<=> ( (~) @ ( V1a @ V3t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V8t )
<=> ( ( (~) @ ( V1a @ V8t ) )
& ( (~) @ ( V0b @ V8t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V12t )
<=> ( ( (~) @ ( V1a @ V12t ) )
& ( V0b @ V12t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V16t )
<=> ( ( V1a @ V16t )
& ( (~) @ ( V0b @ V16t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V14t )
<=> ( ( V1a @ V14t )
& ( V0b @ V14t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F0 @ V1a ) @ F7 @ V2x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V5x )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ F1 @ V5x ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V7x )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ ( F2 @ V1a @ V0b ) @ V7x ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V9x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F3 @ V1a ) @ V0b @ V9x ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V11x )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ ( F4 @ V1a @ V0b ) @ V11x ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V13x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ ( F5 @ V1a @ V0b ) @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V15x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ ( F6 @ V1a @ V0b ) @ V15x ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSUNTIL__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V19t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V0b @ V19t )
<=> ( (~) @ ( V0b @ V19t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0b @ V16t )
<=> ( (~) @ ( V0b @ V16t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V14t )
<=> ( (~) @ ( V1a @ V14t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V0b @ V8t )
<=> ( (~) @ ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V11t )
<=> ( ( (~) @ ( V1a @ V11t ) )
| ( (~) @ ( V0b @ V11t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V9t )
<=> ( ( (~) @ ( V1a @ V9t ) )
& ( (~) @ ( V0b @ V9t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V12t )
<=> ( ( (~) @ ( V1a @ V12t ) )
& ( V0b @ V12t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V1a @ V0b @ V20t )
<=> ( ( V1a @ V20t )
& ( (~) @ ( V0b @ V20t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V1a @ V0b @ V17t )
<=> ( ( V1a @ V17t )
& ( V0b @ V17t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V2x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ F0 @ ( F7 @ V1a ) @ V2x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V5x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ F1 @ V1a @ V5x ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F2 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V7x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V10x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F3 @ V1a @ V0b ) @ ( F9 @ V1a @ V0b ) @ V10x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V13x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F4 @ V1a ) @ V0b @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V15x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F5 @ V0b ) @ ( F10 @ V1a @ V0b ) @ V15x ) )
& ! [V18x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V18x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F6 @ V0b ) @ ( F11 @ V1a @ V0b ) @ V18x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPUNTIL__EXPRESSIVE,axiom,
! [F7: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V20t )
<=> ( (~) @ ( V1a @ V20t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0b @ V17t )
<=> ( (~) @ ( V0b @ V17t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V0b @ V11t )
<=> ( (~) @ ( V0b @ V11t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V0b @ V8t )
<=> ( (~) @ ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V1a @ V5t )
<=> ( (~) @ ( V1a @ V5t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V14t )
<=> ( ( (~) @ ( V1a @ V14t ) )
| ( (~) @ ( V0b @ V14t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V9t )
<=> ( ( (~) @ ( V1a @ V9t ) )
& ( (~) @ ( V0b @ V9t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V1a @ V0b @ V15t )
<=> ( ( (~) @ ( V1a @ V15t ) )
& ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V1a @ V0b @ V18t )
<=> ( ( V1a @ V18t )
& ( (~) @ ( V0b @ V18t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V12t )
<=> ( ( V1a @ V12t )
& ( V0b @ V12t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V2x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ F0 @ V2x ) )
& ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V4x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F1 @ V1a ) @ F7 @ V4x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F2 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V7x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V10x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F3 @ V0b ) @ ( F9 @ V1a @ V0b ) @ V10x ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V13x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F4 @ V1a @ V0b ) @ ( F10 @ V1a @ V0b ) @ V13x ) ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V16x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F5 @ V0b ) @ ( F11 @ V1a @ V0b ) @ V16x ) )
& ! [V19x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V19x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F6 @ V1a ) @ V0b @ V19x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPWHEN__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0b @ V15t )
<=> ( (~) @ ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V13t )
<=> ( (~) @ ( V1a @ V13t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V0b @ V8t )
<=> ( (~) @ ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V16t )
<=> ( ( V1a @ V16t )
| ( V0b @ V16t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V18t )
<=> ( ( V1a @ V18t )
| ( V0b @ V18t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V9t )
<=> ( ( V1a @ V9t )
=> ( V0b @ V9t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V11t )
<=> ( ( V1a @ V11t )
=> ( V0b @ V11t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V2x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ F0 @ ( F7 @ V1a ) @ V2x ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V5x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ F1 @ V1a @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F2 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V7x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V10x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V0b @ ( F3 @ V1a @ V0b ) @ V10x ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V12x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F4 @ V1a ) @ V0b @ V12x ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V14x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F5 @ V0b ) @ ( F9 @ V1a @ V0b ) @ V14x ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V17x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V0b @ ( F6 @ V1a @ V0b ) @ V17x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSWHEN__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V0b @ V17t )
<=> ( (~) @ ( V0b @ V17t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V13t )
<=> ( (~) @ ( V1a @ V13t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V0b @ V10t )
<=> ( (~) @ ( V0b @ V10t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V18t )
<=> ( ( V1a @ V18t )
| ( V0b @ V18t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V15t )
<=> ( ( V1a @ V15t )
| ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V11t )
<=> ( ( V1a @ V11t )
=> ( V0b @ V11t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V8t )
<=> ( ( V1a @ V8t )
=> ( V0b @ V8t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V2x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ F0 @ ( F7 @ V1a ) @ V2x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V5x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ F1 @ V1a @ V5x ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V7x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V0b @ ( F2 @ V1a @ V0b ) @ V7x ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V9x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F3 @ V0b ) @ ( F8 @ V1a @ V0b ) @ V9x ) ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V12x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F4 @ V1a ) @ V0b @ V12x ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V14x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V0b @ ( F5 @ V1a @ V0b ) @ V14x ) ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V16x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F6 @ V0b ) @ ( F9 @ V1a @ V0b ) @ V16x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPBEFORE__EXPRESSIVE,axiom,
! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V4t )
<=> ( (~) @ ( V1a @ V4t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V8t )
<=> ( (~) @ ( V1a @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V10t )
<=> ( ( (~) @ ( V1a @ V10t ) )
& ( (~) @ ( V0b @ V10t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V15t )
<=> ( ( (~) @ ( V1a @ V15t ) )
& ( V0b @ V15t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V17t )
<=> ( ( V1a @ V17t )
& ( (~) @ ( V0b @ V17t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V14t )
<=> ( ( V1a @ V14t )
& ( V0b @ V14t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V12t )
<=> ( ( V1a @ V12t )
& ( V0b @ V12t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V2x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ F0 @ ( F7 @ V1a ) @ V2x ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V5x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ F1 @ V1a @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V7x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F2 @ V1a ) @ V0b @ V7x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V9x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0b @ ( F3 @ V1a @ V0b ) @ V9x ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V11x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0b @ ( F4 @ V1a @ V0b ) @ V11x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V13x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F5 @ V1a @ V0b ) @ ( F8 @ V1a @ V0b ) @ V13x ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V16x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0b @ ( F6 @ V1a @ V0b ) @ V16x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPSBEFORE__EXPRESSIVE,axiom,
! [F7: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V4t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V4t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V6t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V10t )
<=> ( (~) @ ( V1a @ V10t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1a @ V3t )
<=> ( (~) @ ( V1a @ V3t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V8t )
<=> ( ( (~) @ ( V1a @ V8t ) )
& ( (~) @ ( V0b @ V8t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V12t )
<=> ( ( (~) @ ( V1a @ V12t ) )
& ( V0b @ V12t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V16t )
<=> ( ( V1a @ V16t )
& ( (~) @ ( V0b @ V16t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V14t )
<=> ( ( V1a @ V14t )
& ( V0b @ V14t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V2x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( F0 @ V1a ) @ F7 @ V2x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V5x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ F1 @ V5x ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V7x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0b @ ( F2 @ V1a @ V0b ) @ V7x ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V9x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( F3 @ V1a ) @ V0b @ V9x ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V11x )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0b @ ( F4 @ V1a @ V0b ) @ V11x ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V13x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0b @ ( F5 @ V1a @ V0b ) @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V15x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0b @ ( F6 @ V1a @ V0b ) @ V15x ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ENEGATION__NORMAL__FORM,axiom,
! [F9: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F18: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F17: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F16: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F15: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F14: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V2a @ V12t )
<=> ( (~) @ ( V2a @ V12t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V2a @ V11t )
<=> ( (~) @ ( V2a @ V11t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V2a @ V10t )
<=> ( (~) @ ( V2a @ V10t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2a @ V9t )
<=> ( (~) @ ( V2a @ V9t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V2a @ V8t )
<=> ( (~) @ ( V2a @ V8t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V2a @ V7t )
<=> ( (~) @ ( V2a @ V7t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2a @ V6t )
<=> ( (~) @ ( V2a @ V6t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2a @ V5t )
<=> ( (~) @ ( V2a @ V5t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V21t: mono_2Etyop_2Enum_2Enum] :
( ( F18 @ V2a @ V21t )
<=> ( (~) @ ( V2a @ V21t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F17 @ V2a @ V20t )
<=> ( (~) @ ( V2a @ V20t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V19t: mono_2Etyop_2Enum_2Enum] :
( ( F16 @ V2a @ V19t )
<=> ( (~) @ ( V2a @ V19t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V2a @ V18t )
<=> ( (~) @ ( V2a @ V18t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V2a @ V17t )
<=> ( (~) @ ( V2a @ V17t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V2a @ V16t )
<=> ( (~) @ ( V2a @ V16t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V2a @ V15t )
<=> ( (~) @ ( V2a @ V15t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V2a @ V14t )
<=> ( (~) @ ( V2a @ V14t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2a @ V13t )
<=> ( (~) @ ( V2a @ V13t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V4t )
<=> ( (~) @ ( V2a @ V4t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2a @ V3t )
<=> ( (~) @ ( V2a @ V3t ) ) )
=> ! [V0t: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V2a @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( F1 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V2a @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F2 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F3 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F4 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F5 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F6 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F7 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F8 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( F9 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2a @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F10 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V2a @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ ( F11 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V2a @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F12 @ V2a ) @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F13 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( F14 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F15 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F16 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F17 @ V2a ) @ V1b @ V0t ) )
& ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ V1b @ V0t ) )
<=> ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F18 @ V2a ) @ V1b @ V0t ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ECONJUNCTIVE__NORMAL__FORM,axiom,
! [F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F16: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F15: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F14: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V2a @ V1b @ V18t )
<=> ( ( V2a @ V18t )
| ( V1b @ V18t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2a @ V1b @ V16t )
<=> ( ( V2a @ V16t )
| ( V1b @ V16t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V36t: mono_2Etyop_2Enum_2Enum] :
( ( F16 @ V2a @ V1b @ V36t )
<=> ( ( V2a @ V36t )
| ( V1b @ V36t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V34t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V2a @ V1b @ V34t )
<=> ( ( V2a @ V34t )
| ( V1b @ V34t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V22t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V2a @ V1b @ V22t )
<=> ( ( V2a @ V22t )
& ( V1b @ V22t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V2a @ V1b @ V20t )
<=> ( ( V2a @ V20t )
& ( V1b @ V20t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V2a @ V1b @ V14t )
<=> ( ( V2a @ V14t )
& ( V1b @ V14t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V2a @ V1b @ V12t )
<=> ( ( V2a @ V12t )
& ( V1b @ V12t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2a @ V1b @ V10t )
<=> ( ( V2a @ V10t )
& ( V1b @ V10t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2a @ V1b @ V8t )
<=> ( ( V2a @ V8t )
& ( V1b @ V8t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V32t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V2a @ V1b @ V32t )
<=> ( ( V2a @ V32t )
& ( V1b @ V32t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V30t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V2a @ V1b @ V30t )
<=> ( ( V2a @ V30t )
& ( V1b @ V30t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V28t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V2a @ V1b @ V28t )
<=> ( ( V2a @ V28t )
& ( V1b @ V28t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V26t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V2a @ V1b @ V26t )
<=> ( ( V2a @ V26t )
& ( V1b @ V26t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V24t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2a @ V1b @ V24t )
<=> ( ( V2a @ V24t )
& ( V1b @ V24t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V1b @ V6t )
<=> ( ( V2a @ V6t )
& ( V1b @ V6t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2a @ V1b @ V4t )
<=> ( ( V2a @ V4t )
& ( V1b @ V4t ) ) )
=> ! [V0c: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V3x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V2a @ V1b ) @ V3x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V3x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V3x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V2a @ V1b ) @ V5x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V2a @ V5x )
& ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1b @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F2 @ V2a @ V1b ) @ V0c @ V7x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V0c @ V7x )
& ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1b @ V0c @ V7x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F3 @ V2a @ V1b ) @ V0c @ V9x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V0c @ V9x )
& ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1b @ V0c @ V9x ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F4 @ V2a @ V1b ) @ V0c @ V11x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V0c @ V11x )
& ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1b @ V0c @ V11x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F5 @ V2a @ V1b ) @ V0c @ V13x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V0c @ V13x )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1b @ V0c @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0c @ ( F6 @ V2a @ V1b ) @ V15x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0c @ V2a @ V15x )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0c @ V1b @ V15x ) ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0c @ ( F7 @ V2a @ V1b ) @ V17x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0c @ V2a @ V17x )
& ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0c @ V1b @ V17x ) ) )
& ! [V19x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F8 @ V2a @ V1b ) @ V19x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V19x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b @ V19x ) ) )
& ! [V21x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( F9 @ V2a @ V1b ) @ V21x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2a @ V21x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b @ V21x ) ) )
& ! [V23x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F10 @ V2a @ V1b ) @ V23x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V2a @ V23x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1b @ V23x ) ) )
& ! [V25x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F11 @ V2a @ V1b ) @ V0c @ V25x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V0c @ V25x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1b @ V0c @ V25x ) ) )
& ! [V27x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F12 @ V2a @ V1b ) @ V0c @ V27x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V0c @ V27x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1b @ V0c @ V27x ) ) )
& ! [V29x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F13 @ V2a @ V1b ) @ V0c @ V29x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V0c @ V29x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1b @ V0c @ V29x ) ) )
& ! [V31x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F14 @ V2a @ V1b ) @ V0c @ V31x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V0c @ V31x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1b @ V0c @ V31x ) ) )
& ! [V33x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0c @ ( F15 @ V2a @ V1b ) @ V33x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0c @ V2a @ V33x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V0c @ V1b @ V33x ) ) )
& ! [V35x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0c @ ( F16 @ V2a @ V1b ) @ V35x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0c @ V2a @ V35x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V0c @ V1b @ V35x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EDISJUNCTIVE__NORMAL__FORM,axiom,
! [F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F15: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F14: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V22t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V2a @ V1b @ V22t )
<=> ( ( V2a @ V22t )
| ( V1b @ V22t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V2a @ V1b @ V20t )
<=> ( ( V2a @ V20t )
| ( V1b @ V20t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V2a @ V1b @ V18t )
<=> ( ( V2a @ V18t )
| ( V1b @ V18t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2a @ V1b @ V16t )
<=> ( ( V2a @ V16t )
| ( V1b @ V16t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1b @ V0c @ V14t )
<=> ( ( V1b @ V14t )
| ( V0c @ V14t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1b @ V0c @ V12t )
<=> ( ( V1b @ V12t )
| ( V0c @ V12t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2a @ V1b @ V10t )
<=> ( ( V2a @ V10t )
| ( V1b @ V10t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2a @ V1b @ V8t )
<=> ( ( V2a @ V8t )
| ( V1b @ V8t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V34t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V2a @ V1b @ V34t )
<=> ( ( V2a @ V34t )
| ( V1b @ V34t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V32t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V2a @ V1b @ V32t )
<=> ( ( V2a @ V32t )
| ( V1b @ V32t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V30t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V1b @ V0c @ V30t )
<=> ( ( V1b @ V30t )
| ( V0c @ V30t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V28t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V1b @ V0c @ V28t )
<=> ( ( V1b @ V28t )
| ( V0c @ V28t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V26t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V2a @ V1b @ V26t )
<=> ( ( V2a @ V26t )
| ( V1b @ V26t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V24t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2a @ V1b @ V24t )
<=> ( ( V2a @ V24t )
| ( V1b @ V24t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V1b @ V6t )
<=> ( ( V2a @ V6t )
| ( V1b @ V6t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2a @ V1b @ V4t )
<=> ( ( V2a @ V4t )
| ( V1b @ V4t ) ) )
=> ! [V0c: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V3x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V2a @ V1b ) @ V3x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V3x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V3x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( F1 @ V2a @ V1b ) @ V5x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V2a @ V5x )
| ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F2 @ V2a @ V1b ) @ V0c @ V7x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V0c @ V7x )
| ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1b @ V0c @ V7x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F3 @ V2a @ V1b ) @ V0c @ V9x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V0c @ V9x )
| ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1b @ V0c @ V9x ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ ( F4 @ V1b @ V0c ) @ V11x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V11x )
| ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V0c @ V11x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ ( F5 @ V1b @ V0c ) @ V13x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V13x )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V0c @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F6 @ V2a @ V1b ) @ V0c @ V15x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V0c @ V15x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1b @ V0c @ V15x ) ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F7 @ V2a @ V1b ) @ V0c @ V17x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V0c @ V17x )
| ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1b @ V0c @ V17x ) ) )
& ! [V19x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F8 @ V2a @ V1b ) @ V19x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V19x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b @ V19x ) ) )
& ! [V21x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ ( F9 @ V2a @ V1b ) @ V21x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V2a @ V21x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1b @ V21x ) ) )
& ! [V23x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F10 @ V2a @ V1b ) @ V0c @ V23x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V0c @ V23x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1b @ V0c @ V23x ) ) )
& ! [V25x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F11 @ V2a @ V1b ) @ V0c @ V25x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V0c @ V25x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1b @ V0c @ V25x ) ) )
& ! [V27x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ ( F12 @ V1b @ V0c ) @ V27x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V1b @ V27x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V0c @ V27x ) ) )
& ! [V29x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ ( F13 @ V1b @ V0c ) @ V29x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V1b @ V29x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V0c @ V29x ) ) )
& ! [V31x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F14 @ V2a @ V1b ) @ V0c @ V31x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ V0c @ V31x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V0c @ V31x ) ) )
& ! [V33x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( F15 @ V2a @ V1b ) @ V0c @ V33x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ V0c @ V33x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1b @ V0c @ V33x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPRENEX__NEXT__NORMAL__FORM,axiom,
! [F3: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2a @ V8t )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V8t )
| ( V2a @ V8t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2a @ V15t )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V15t )
| ( V2a @ V15t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V2a @ V14t )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V14t ) )
& ( V2a @ V14t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1b @ V13t )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V13t ) )
& ( V1b @ V13t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1b @ V12t )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V12t ) )
& ( V1b @ V12t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1b @ V11t )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V11t ) )
& ( V1b @ V11t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1b @ V10t )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V10t ) )
& ( V1b @ V10t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V2a @ V9t )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V9t ) )
& ( V2a @ V9t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2a @ V3t )
<=> ( (~) @ ( V2a @ V3t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2a @ V1b @ V5t )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V5t )
| ( V1b @ V5t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V1b @ V4t )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V4t )
& ( V1b @ V4t ) ) )
=> ! [V0t: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V2a ) @ V0t ) )
& ( ( ( V2a @ V0t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F1 @ V2a @ V1b ) @ V0t ) )
& ( ( ( V2a @ V0t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V0t ) )
<=> ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F2 @ V2a @ V1b ) @ V0t ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V2a ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V2a ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V6x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V6x )
| ( V2a @ V6x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V7x )
<=> ( ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V7x ) )
& ( V2a @ V7x ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F3 @ V2a ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ ( F4 @ V2a ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ ( F5 @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ ( F6 @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ V1b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ ( F7 @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a ) @ ( F8 @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( F9 @ V2a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F10 @ V2a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a ) @ V1b )
= ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ENEXT__INWARDS__NORMAL__FORM,axiom,
! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1a @ V3t )
<=> ( (~) @ ( V1a @ V3t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V7t )
<=> ( ( V1a @ V7t )
| ( V0b @ V7t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V1a @ V0b @ V5t )
<=> ( ( V1a @ V5t )
& ( V0b @ V5t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V1a ) @ V2x )
<=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V2x ) ) )
& ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F1 @ V1a @ V0b ) @ V4x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V4x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V4x ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F2 @ V1a @ V0b ) @ V6x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V6x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V6x ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a ) )
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) )
= V1a )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1a ) )
= V1a )
& ! [V8x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a ) @ V8x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a @ V8x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V8x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) @ V9x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a @ V9x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V9x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b ) @ V10x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V10x )
| ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V10x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b @ V10x ) ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b ) @ V11x )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V11x ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V11x ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b @ V11x ) ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b ) @ V12x )
<=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V12x ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V12x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b @ V12x ) ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b ) @ V13x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V13x )
| ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V13x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b @ V13x ) ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b ) @ V14x )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V14x ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V14x ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b @ V14x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b ) @ V15x )
<=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0b @ V15x ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V15x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b @ V15x ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EPNEXT__INWARDS__NORMAL__FORM,axiom,
! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1a @ V3t )
<=> ( (~) @ ( V1a @ V3t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V7t )
<=> ( ( V1a @ V7t )
| ( V0b @ V7t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V1a @ V0b @ V5t )
<=> ( ( V1a @ V5t )
& ( V0b @ V5t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F0 @ V1a ) @ V2x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1a @ V2x ) ) )
& ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F1 @ V1a @ V0b ) @ V4x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a @ V4x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b @ V4x ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F2 @ V1a @ V0b ) @ V6x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a @ V6x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b @ V6x ) ) )
& ! [V8x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a ) @ V8x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V8x )
| ( V1a @ V8x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a ) @ V9x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V9x )
| ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ V9x ) ) )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) @ V10x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V10x )
| ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ V10x ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b ) )
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a ) )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) @ V11x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V11x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1a ) @ V11x ) ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b ) @ V12x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V12x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0b ) @ V12x ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b ) @ V13x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V13x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0b ) @ V13x ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b ) @ V14x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V14x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) @ V14x ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b ) )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b ) )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0b ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b ) )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V0b ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESIMPLIFY,axiom,
! [F9: mono_2Etyop_2Enum_2Enum > $o,F7: mono_2Etyop_2Enum_2Enum > $o,F66: mono_2Etyop_2Enum_2Enum > $o,F64: mono_2Etyop_2Enum_2Enum > $o,F61: mono_2Etyop_2Enum_2Enum > $o,F59: mono_2Etyop_2Enum_2Enum > $o,F57: mono_2Etyop_2Enum_2Enum > $o,F55: mono_2Etyop_2Enum_2Enum > $o,F52: mono_2Etyop_2Enum_2Enum > $o,F50: mono_2Etyop_2Enum_2Enum > $o,F48: mono_2Etyop_2Enum_2Enum > $o,F46: mono_2Etyop_2Enum_2Enum > $o,F44: mono_2Etyop_2Enum_2Enum > $o,F42: mono_2Etyop_2Enum_2Enum > $o,F4: mono_2Etyop_2Enum_2Enum > $o,F39: mono_2Etyop_2Enum_2Enum > $o,F37: mono_2Etyop_2Enum_2Enum > $o,F36: mono_2Etyop_2Enum_2Enum > $o,F34: mono_2Etyop_2Enum_2Enum > $o,F31: mono_2Etyop_2Enum_2Enum > $o,F29: mono_2Etyop_2Enum_2Enum > $o,F26: mono_2Etyop_2Enum_2Enum > $o,F24: mono_2Etyop_2Enum_2Enum > $o,F22: mono_2Etyop_2Enum_2Enum > $o,F20: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F17: mono_2Etyop_2Enum_2Enum > $o,F15: mono_2Etyop_2Enum_2Enum > $o,F13: mono_2Etyop_2Enum_2Enum > $o,F11: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F8: mono_2Etyop_2Enum_2Enum > $o,F65: mono_2Etyop_2Enum_2Enum > $o,F62: mono_2Etyop_2Enum_2Enum > $o,F60: mono_2Etyop_2Enum_2Enum > $o,F6: mono_2Etyop_2Enum_2Enum > $o,F58: mono_2Etyop_2Enum_2Enum > $o,F56: mono_2Etyop_2Enum_2Enum > $o,F53: mono_2Etyop_2Enum_2Enum > $o,F51: mono_2Etyop_2Enum_2Enum > $o,F5: mono_2Etyop_2Enum_2Enum > $o,F49: mono_2Etyop_2Enum_2Enum > $o,F47: mono_2Etyop_2Enum_2Enum > $o,F45: mono_2Etyop_2Enum_2Enum > $o,F43: mono_2Etyop_2Enum_2Enum > $o,F41: mono_2Etyop_2Enum_2Enum > $o,F40: mono_2Etyop_2Enum_2Enum > $o,F38: mono_2Etyop_2Enum_2Enum > $o,F35: mono_2Etyop_2Enum_2Enum > $o,F33: mono_2Etyop_2Enum_2Enum > $o,F30: mono_2Etyop_2Enum_2Enum > $o,F3: mono_2Etyop_2Enum_2Enum > $o,F27: mono_2Etyop_2Enum_2Enum > $o,F25: mono_2Etyop_2Enum_2Enum > $o,F23: mono_2Etyop_2Enum_2Enum > $o,F21: mono_2Etyop_2Enum_2Enum > $o,F18: mono_2Etyop_2Enum_2Enum > $o,F16: mono_2Etyop_2Enum_2Enum > $o,F14: mono_2Etyop_2Enum_2Enum > $o,F12: mono_2Etyop_2Enum_2Enum > $o,F10: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F67: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F63: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F54: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F32: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F28: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F19: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V19t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V19t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V15t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V15t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V113t: mono_2Etyop_2Enum_2Enum] :
( ( F66 @ V113t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V109t: mono_2Etyop_2Enum_2Enum] :
( ( F64 @ V109t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V104t: mono_2Etyop_2Enum_2Enum] :
( ( F61 @ V104t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V101t: mono_2Etyop_2Enum_2Enum] :
( ( F59 @ V101t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V96t: mono_2Etyop_2Enum_2Enum] :
( ( F57 @ V96t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V93t: mono_2Etyop_2Enum_2Enum] :
( ( F55 @ V93t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V89t: mono_2Etyop_2Enum_2Enum] :
( ( F52 @ V89t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V86t: mono_2Etyop_2Enum_2Enum] :
( ( F50 @ V86t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V83t: mono_2Etyop_2Enum_2Enum] :
( ( F48 @ V83t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V80t: mono_2Etyop_2Enum_2Enum] :
( ( F46 @ V80t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V77t: mono_2Etyop_2Enum_2Enum] :
( ( F44 @ V77t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V73t: mono_2Etyop_2Enum_2Enum] :
( ( F42 @ V73t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V11t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V11t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V69t: mono_2Etyop_2Enum_2Enum] :
( ( F39 @ V69t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V65t: mono_2Etyop_2Enum_2Enum] :
( ( F37 @ V65t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V63t: mono_2Etyop_2Enum_2Enum] :
( ( F36 @ V63t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V59t: mono_2Etyop_2Enum_2Enum] :
( ( F34 @ V59t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V55t: mono_2Etyop_2Enum_2Enum] :
( ( F31 @ V55t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V51t: mono_2Etyop_2Enum_2Enum] :
( ( F29 @ V51t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V46t: mono_2Etyop_2Enum_2Enum] :
( ( F26 @ V46t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V43t: mono_2Etyop_2Enum_2Enum] :
( ( F24 @ V43t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V38t: mono_2Etyop_2Enum_2Enum] :
( ( F22 @ V38t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V35t: mono_2Etyop_2Enum_2Enum] :
( ( F20 @ V35t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V7t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V7t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V31t: mono_2Etyop_2Enum_2Enum] :
( ( F17 @ V31t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V28t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V28t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V25t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V25t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V22t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V22t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V5t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V5t )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V17t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V17t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V111t: mono_2Etyop_2Enum_2Enum] :
( ( F65 @ V111t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V106t: mono_2Etyop_2Enum_2Enum] :
( ( F62 @ V106t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V102t: mono_2Etyop_2Enum_2Enum] :
( ( F60 @ V102t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V14t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V14t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V99t: mono_2Etyop_2Enum_2Enum] :
( ( F58 @ V99t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V95t: mono_2Etyop_2Enum_2Enum] :
( ( F56 @ V95t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V90t: mono_2Etyop_2Enum_2Enum] :
( ( F53 @ V90t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V88t: mono_2Etyop_2Enum_2Enum] :
( ( F51 @ V88t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V13t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V13t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V85t: mono_2Etyop_2Enum_2Enum] :
( ( F49 @ V85t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V81t: mono_2Etyop_2Enum_2Enum] :
( ( F47 @ V81t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V78t: mono_2Etyop_2Enum_2Enum] :
( ( F45 @ V78t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V75t: mono_2Etyop_2Enum_2Enum] :
( ( F43 @ V75t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V72t: mono_2Etyop_2Enum_2Enum] :
( ( F41 @ V72t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V71t: mono_2Etyop_2Enum_2Enum] :
( ( F40 @ V71t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V67t: mono_2Etyop_2Enum_2Enum] :
( ( F38 @ V67t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V61t: mono_2Etyop_2Enum_2Enum] :
( ( F35 @ V61t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V57t: mono_2Etyop_2Enum_2Enum] :
( ( F33 @ V57t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V53t: mono_2Etyop_2Enum_2Enum] :
( ( F30 @ V53t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V9t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V9t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V48t: mono_2Etyop_2Enum_2Enum] :
( ( F27 @ V48t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V44t: mono_2Etyop_2Enum_2Enum] :
( ( F25 @ V44t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V41t: mono_2Etyop_2Enum_2Enum] :
( ( F23 @ V41t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V37t: mono_2Etyop_2Enum_2Enum] :
( ( F21 @ V37t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V32t: mono_2Etyop_2Enum_2Enum] :
( ( F18 @ V32t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V30t: mono_2Etyop_2Enum_2Enum] :
( ( F16 @ V30t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V27t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V27t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V23t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V23t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V20t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V20t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V3t )
= mono_2Ec_2Ebool_2EF )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V114t: mono_2Etyop_2Enum_2Enum] :
( ( F67 @ V1a @ V114t )
<=> ( (~) @ ( V1a @ V114t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V107t: mono_2Etyop_2Enum_2Enum] :
( ( F63 @ V0b @ V107t )
<=> ( (~) @ ( V0b @ V107t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V91t: mono_2Etyop_2Enum_2Enum] :
( ( F54 @ V0b @ V91t )
<=> ( (~) @ ( V0b @ V91t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V56t: mono_2Etyop_2Enum_2Enum] :
( ( F32 @ V1a @ V56t )
<=> ( (~) @ ( V1a @ V56t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V49t: mono_2Etyop_2Enum_2Enum] :
( ( F28 @ V0b @ V49t )
<=> ( (~) @ ( V0b @ V49t ) ) )
=> ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V33t: mono_2Etyop_2Enum_2Enum] :
( ( F19 @ V0b @ V33t )
<=> ( (~) @ ( V0b @ V33t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ F0 @ V2x )
= mono_2Ec_2Ebool_2EF )
& ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ F1 @ V4x )
= mono_2Ec_2Ebool_2ET )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ F2 @ V6x )
= mono_2Ec_2Ebool_2ET )
& ! [V8x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ F3 @ V8x )
= mono_2Ec_2Ebool_2EF )
& ! [V10x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ F4 @ V10x )
= mono_2Ec_2Ebool_2ET )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ F5 @ V12x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F6 @ V0b )
= V0b )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F7 @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
& ! [V16x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ F8 @ V16x )
= mono_2Ec_2Ebool_2EF )
& ! [V18x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ F9 @ V18x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V1a )
= V1a )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ F10 @ V0b )
= V0b )
& ! [V21x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ F11 @ V0b @ V21x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ F12 )
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a ) )
& ! [V24x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ F13 @ V24x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V1a )
= V1a )
& ! [V26x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F14 @ V0b @ V26x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F15 @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
& ! [V29x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ F16 @ V29x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ F17 )
= V1a )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V1a )
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F18 @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F19 @ V0b ) ) )
& ! [V34x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F20 @ V0b @ V34x )
= mono_2Ec_2Ebool_2ET )
& ! [V36x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ F21 @ V36x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ F22 )
= V1a )
& ! [V39x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V1a @ V39x )
= mono_2Ec_2Ebool_2ET )
& ! [V40x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ F23 @ V0b @ V40x )
= mono_2Ec_2Ebool_2EF )
& ! [V42x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ F24 @ V0b @ V42x )
<=> ( (~) @ ( V0b @ V42x ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ F25 )
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
& ! [V45x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ F26 @ V45x )
= mono_2Ec_2Ebool_2EF )
& ! [V47x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V1a @ V47x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F27 @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F28 @ V0b ) ) )
& ! [V50x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F29 @ V0b @ V50x )
<=> ( (~) @ ( V0b @ V50x ) ) )
& ! [V52x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ F30 @ V52x )
= mono_2Ec_2Ebool_2ET )
& ! [V54x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ F31 @ V54x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V1a )
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F32 @ V1a ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ F33 )
= mono_2Ec_2EPast__Temporal__Logic_2EInitPoint )
& ! [V58x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ F34 @ V58x )
= mono_2Ec_2Ebool_2ET )
& ! [V60x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ F35 @ V60x )
= mono_2Ec_2Ebool_2EF )
& ! [V62x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ F36 @ V62x )
<=> ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V62x ) ) )
& ! [V64x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ F37 @ V64x )
= mono_2Ec_2Ebool_2ET )
& ! [V66x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ F38 @ V66x )
= mono_2Ec_2Ebool_2EF )
& ! [V68x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ F39 @ V68x )
= mono_2Ec_2Ebool_2ET )
& ! [V70x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ F40 @ V70x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ F41 @ V0b )
= V0b )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ F42 @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V0b ) )
& ! [V74x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ F43 @ V74x )
= mono_2Ec_2Ebool_2EF )
& ! [V76x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ F44 @ V76x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V1a )
= V1a )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ F45 @ V0b )
= V0b )
& ! [V79x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ F46 @ V0b @ V79x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ F47 )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V1a ) )
& ! [V82x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ F48 @ V82x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V1a )
= V1a )
& ! [V84x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ F49 @ V0b @ V84x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ F50 @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V0b ) )
& ! [V87x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ F51 @ V87x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ F52 )
= V1a )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V1a )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ F53 @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F54 @ V0b ) ) )
& ! [V92x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ F55 @ V0b @ V92x )
= mono_2Ec_2Ebool_2ET )
& ! [V94x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ F56 @ V94x )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ F57 )
= V1a )
& ! [V97x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V1a @ V97x )
= mono_2Ec_2Ebool_2ET )
& ! [V98x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ F58 @ V0b @ V98x )
= mono_2Ec_2Ebool_2EF )
& ! [V100x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ F59 @ V0b @ V100x )
<=> ( (~) @ ( V0b @ V100x ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ F60 )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) )
& ! [V103x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ F61 @ V103x )
= mono_2Ec_2Ebool_2EF )
& ! [V105x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V1a @ V105x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ F62 @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F63 @ V0b ) ) )
& ! [V108x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ F64 @ V0b @ V108x )
<=> ( (~) @ ( V0b @ V108x ) ) )
& ! [V110x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ F65 @ V110x )
= mono_2Ec_2Ebool_2ET )
& ! [V112x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ F66 @ V112x )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V1a )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F67 @ V1a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EMORE__EVENT,axiom,
! [F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1a @ V0b @ V10t )
<=> ( ( V1a @ V10t )
& ( (~) @ ( V0b @ V10t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1a @ V0b @ V9t )
<=> ( ( V1a @ V9t )
& ( (~) @ ( V0b @ V9t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1a @ V0b @ V7t )
<=> ( ( V1a @ V7t )
& ( (~) @ ( V0b @ V7t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V1a @ V0b @ V6t )
<=> ( ( V1a @ V6t )
& ( (~) @ ( V0b @ V6t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V1a @ V0b @ V4t )
<=> ( ( V1a @ V4t )
& ( (~) @ ( V0b @ V4t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V1a @ V0b @ V13t )
<=> ( ( V1a @ V13t )
& ( (~) @ ( V0b @ V13t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V1a @ V0b @ V12t )
<=> ( ( V1a @ V12t )
& ( (~) @ ( V0b @ V12t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V1a @ V0b @ V3t )
<=> ( ( V1a @ V3t )
& ( (~) @ ( V0b @ V3t ) ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V1a @ V0b @ V11t )
<=> ( ( V1a @ V11t )
& ( V0b @ V11t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V1a @ V0b @ V8t )
<=> ( ( V1a @ V8t )
& ( V0b @ V8t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1a @ V0b @ V5t )
<=> ( ( V1a @ V5t )
& ( V0b @ V5t ) ) )
=> ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1a @ V0b @ V2t )
<=> ( ( V1a @ V2t )
& ( V0b @ V2t ) ) )
=> ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
( ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F1 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F2 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F3 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F4 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F5 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V1a @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ ( F6 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V1a @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ ( F7 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1a @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F8 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V1a @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ ( F9 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1a @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F10 @ V1a @ V0b ) @ V0b ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1a @ V0b )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ ( F11 @ V1a @ V0b ) @ V0b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2EIMMEDIATE__EVENT,axiom,
! [V0t: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( V1b @ V0t )
=> ( ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t )
= ( V2a @ V0t ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1b @ V2a @ V0t )
<=> ( (~) @ ( V2a @ V0t ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t )
= ( V2a @ V0t ) )
& ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1b @ V2a @ V0t )
<=> ( (~) @ ( V2a @ V0t ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V1b @ V0t )
= ( V2a @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V2a @ V0t )
<=> ( (~) @ ( V2a @ V0t ) ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V1b @ V0t )
= ( V2a @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1b @ V2a @ V0t )
<=> ( (~) @ ( V2a @ V0t ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ENO__FUTURE__EVENT,axiom,
! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1b @ V2t )
<=> ( (~) @ ( V1b @ V2t ) ) )
=> ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F0 @ V1b ) @ V0t0 )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V3a @ V1b @ V0t0 )
= mono_2Ec_2Ebool_2ET )
& ! [V4a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V4a @ V1b @ V0t0 )
= ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V4a @ V0t0 ) )
& ! [V5a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V5a @ V1b @ V0t0 )
= mono_2Ec_2Ebool_2ET )
& ! [V6a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V6a @ V1b @ V0t0 )
= mono_2Ec_2Ebool_2EF )
& ! [V7a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V7a @ V1b @ V0t0 )
= mono_2Ec_2Ebool_2EF )
& ! [V8a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V8a @ V1b @ V0t0 )
= ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V8a @ V0t0 ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ENO__PAST__EVENT,axiom,
! [F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V4t )
<=> ( (~) @ ( V2a @ V4t ) ) )
=> ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1b @ V3t )
<=> ( (~) @ ( V1b @ V3t ) ) )
=> ! [V0t: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F0 @ V1b ) @ V0t )
=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V1b @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ V2a @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V2a @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPALWAYS @ ( F1 @ V2a ) @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V1b @ V0t )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ V1b @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V2a @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1b @ V2a @ V0t )
= mono_2Ec_2Ebool_2EF ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESOME__FUTURE__EVENT,axiom,
! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
( ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
<=> ! [V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
= ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
<=> ! [V3a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V3a @ V1b @ V0t0 )
= ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ V1b @ V0t0 ) ) )
& ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
<=> ! [V4a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V4a @ V1b @ V0t0 )
= ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V4a @ V1b @ V0t0 ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESOME__PAST__EVENT,axiom,
! [V0t: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPEVENTUAL @ V1b @ V0t )
=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPWHEN @ V2a @ V1b @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSWHEN @ V2a @ V1b @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPUNTIL @ V2a @ V1b @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2a @ V1b @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2a @ V1b @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V2a @ V1b @ V0t ) )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V2a @ V0t )
= ( mono_2Ec_2EPast__Temporal__Logic_2EPSBEFORE @ V1b @ V2a @ V0t ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESEPARATE__NEXT__THM,axiom,
! [F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F14: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V2a @ V1b @ V18t )
<=> ( ( V2a @ V18t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b @ V18t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V2a @ V1b @ V16t )
<=> ( ( V2a @ V16t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b @ V16t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V24t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V2a @ V0c @ V24t )
<=> ( ( V2a @ V24t )
| ( (~) @ ( V0c @ V24t ) ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V25t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V2a @ V1b @ V25t )
<=> ( ( V2a @ V25t )
| ( V1b @ V25t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V21t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V2a @ V0c @ V21t )
<=> ( ( V2a @ V21t )
| ( V0c @ V21t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V1b @ V6t )
<=> ( ( V2a @ V6t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1b @ V6t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2a @ V1b @ V4t )
<=> ( ( V2a @ V4t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b @ V4t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V2a @ V0c @ V14t )
<=> ( ( V2a @ V14t )
& ( (~) @ ( V0c @ V14t ) ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V2a @ V1b @ V10t )
<=> ( ( V2a @ V10t )
& ( V1b @ V10t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2a @ V0c @ V9t )
<=> ( ( V2a @ V9t )
& ( V0c @ V9t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2a @ V1b @ V0c @ V20t )
<=> ( ( V2a @ V20t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1b @ V0c @ V20t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V23t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V2a @ V1b @ V0c @ V23t )
<=> ( ( V2a @ V23t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V0c @ V23t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2a @ V1b @ V0c @ V8t )
<=> ( ( V2a @ V8t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1b @ V0c @ V8t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V2a @ V1b @ V0c @ V12t )
<=> ( ( V2a @ V12t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V0c @ V12t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2a @ V1b @ V0c @ V13t )
<=> ( ( V2a @ V13t )
& ( V1b @ V13t )
& ( (~) @ ( V0c @ V13t ) ) ) )
=> ! [V0c: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V3x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V2a @ V1b ) @ V3x )
<=> ( ( V1b @ V3x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V3x ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F1 @ V2a @ V1b ) @ V5x )
<=> ( ( V1b @ V5x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V5x ) ) )
& ! [V7x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F2 @ V2a @ V1b @ V0c ) @ V7x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F3 @ V2a @ V0c ) @ V7x )
| ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1b @ V0c @ V7x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F4 @ V2a @ V1b ) @ V7x ) ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F5 @ V2a @ V1b @ V0c ) @ V11x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F6 @ V2a @ V1b @ V0c ) @ V11x )
| ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V0c @ V11x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F7 @ V2a @ V0c ) @ V11x ) ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F8 @ V2a @ V1b ) @ V15x )
<=> ( ( V1b @ V15x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V15x ) ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F9 @ V2a @ V1b ) @ V17x )
<=> ( ( V1b @ V17x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2a @ V17x ) ) )
& ! [V19x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F10 @ V2a @ V1b @ V0c ) @ V19x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F11 @ V2a @ V0c ) @ V19x )
| ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1b @ V0c @ V19x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V19x ) ) ) )
& ! [V22x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F12 @ V2a @ V1b @ V0c ) @ V22x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F13 @ V2a @ V0c ) @ V22x )
& ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1b @ V0c @ V22x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F14 @ V2a @ V1b ) @ V22x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESEPARATE__SUNTIL__THM,axiom,
! [F14: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F20: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F17: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F15: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F23: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F22: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F16: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F19: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F28: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F29: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F21: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F26: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F27: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F18: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F25: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F24: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V28t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V3a @ V2b @ V28t )
<=> ( ( V3a @ V28t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V28t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V25t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V3a @ V2b @ V25t )
<=> ( ( V3a @ V25t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2b @ V25t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V39t: mono_2Etyop_2Enum_2Enum] :
( ( F20 @ V0d @ V2b @ V39t )
<=> ( ( V0d @ V39t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V39t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V32t: mono_2Etyop_2Enum_2Enum] :
( ( F17 @ V0d @ V1c @ V32t )
<=> ( ( V0d @ V32t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V32t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V29t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V2b @ V3a @ V29t )
<=> ( ( V2b @ V29t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V3a @ V29t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V26t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V2b @ V3a @ V26t )
<=> ( ( V2b @ V26t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V3a @ V26t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2b @ V1c @ V5t )
<=> ( ( V2b @ V5t )
| ( V1c @ V5t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V40t: mono_2Etyop_2Enum_2Enum] :
( ( F23 @ V3a @ V0d @ V40t )
<=> ( ( (~) @ ( V3a @ V40t ) )
& ( (~) @ ( V0d @ V40t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V33t: mono_2Etyop_2Enum_2Enum] :
( ( F22 @ V3a @ V0d @ V33t )
<=> ( ( (~) @ ( V3a @ V33t ) )
& ( (~) @ ( V0d @ V33t ) ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2b @ V1c @ V10t )
<=> ( ( V2b @ V10t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1c @ V10t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2b @ V1c @ V7t )
<=> ( ( V2b @ V7t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V7t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V3a @ V1c @ V14t )
<=> ( ( V3a @ V14t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V14t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V19t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V3a @ V0d @ V19t )
<=> ( ( V3a @ V19t )
& ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0d @ V19t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V23t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V3a @ V2b @ V23t )
<=> ( ( V3a @ V23t )
& ( V2b @ V23t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V31t: mono_2Etyop_2Enum_2Enum] :
( ( F16 @ V3a @ V2b @ V1c @ V31t )
<=> ( ( V3a @ V31t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2b @ V1c @ V31t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V38t: mono_2Etyop_2Enum_2Enum] :
( ( F19 @ V3a @ V2b @ V1c @ V38t )
<=> ( ( V3a @ V38t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2b @ V1c @ V38t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V2b @ V1c @ V0d @ V13t )
<=> ( ( V2b @ V13t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1c @ V0d @ V13t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V2b @ V1c @ V0d @ V18t )
<=> ( ( V2b @ V18t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1c @ V0d @ V18t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V3a @ V1c @ V2b @ V11t )
<=> ( ( V3a @ V11t )
& ( V1c @ V11t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V11t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V3a @ V1c @ V2b @ V8t )
<=> ( ( V3a @ V8t )
& ( V1c @ V8t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V8t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V42t: mono_2Etyop_2Enum_2Enum] :
( ( F28 @ V0d @ V2b @ V42t )
<=> ( ( V0d @ V42t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V42t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V43t: mono_2Etyop_2Enum_2Enum] :
( ( F29 @ V3a @ V0d @ V43t )
<=> ( ( (~) @ ( V3a @ V43t ) )
& ( (~) @ ( V0d @ V43t ) ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V41t: mono_2Etyop_2Enum_2Enum] :
( ( F21 @ V1c @ V0d @ V2b @ V3a @ V41t )
<=> ( ( (~) @ ( V1c @ V41t ) )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F28 @ V0d @ V2b ) @ ( F29 @ V3a @ V0d ) @ V41t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V35t: mono_2Etyop_2Enum_2Enum] :
( ( F26 @ V0d @ V1c @ V35t )
<=> ( ( V0d @ V35t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V35t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V36t: mono_2Etyop_2Enum_2Enum] :
( ( F27 @ V3a @ V0d @ V36t )
<=> ( ( (~) @ ( V3a @ V36t ) )
& ( (~) @ ( V0d @ V36t ) ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V34t: mono_2Etyop_2Enum_2Enum] :
( ( F18 @ V2b @ V1c @ V0d @ V3a @ V34t )
<=> ( ( V2b @ V34t )
| ( V1c @ V34t )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F26 @ V0d @ V1c ) @ ( F27 @ V3a @ V0d ) @ V34t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F25 @ V3a @ V1c @ V16t )
<=> ( ( V3a @ V16t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V16t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V0d @ V3a @ V1c @ V2b @ V15t )
<=> ( ( V0d @ V15t )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F25 @ V3a @ V1c ) @ V2b @ V15t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V21t: mono_2Etyop_2Enum_2Enum] :
( ( F24 @ V3a @ V0d @ V21t )
<=> ( ( V3a @ V21t )
& ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0d @ V21t ) ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V1c @ V0d @ V3a @ V2b @ V20t )
<=> ( ( V1c @ V20t )
& ( (~) @ ( V0d @ V20t ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F24 @ V3a @ V0d ) @ V2b @ V20t ) ) )
=> ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F0 @ V2b @ V1c ) @ V4x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ V2b @ V4x )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ V1c @ V4x ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F1 @ V2b @ V1c ) @ V6x )
<=> ( ( ( V2b @ V6x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V6x ) )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F2 @ V3a @ V1c @ V2b ) @ V6x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F3 @ V2b @ V1c ) @ V9x )
<=> ( ( ( V2b @ V9x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1c @ V9x ) )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F4 @ V3a @ V1c @ V2b ) @ V9x ) ) )
& ! [V12x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F5 @ V2b @ V1c @ V0d ) @ V12x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1c @ V0d @ V12x )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F6 @ V3a @ V1c ) @ V2b @ V12x ) )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F7 @ V0d @ V3a @ V1c @ V2b ) @ V12x ) ) )
& ! [V17x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F8 @ V2b @ V1c @ V0d ) @ V17x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1c @ V0d @ V17x )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F9 @ V3a @ V0d ) @ V2b @ V17x ) )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ ( F10 @ V1c @ V0d @ V3a @ V2b ) @ V17x ) ) )
& ! [V22x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F11 @ V3a @ V2b ) @ V1c @ V22x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ V1c @ V22x )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2b @ V1c @ V22x ) ) )
& ! [V24x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F12 @ V3a @ V2b ) @ V1c @ V24x )
<=> ( ( V1c @ V24x )
| ( ( ( V3a @ V24x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2b @ V24x ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F13 @ V2b @ V3a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c ) @ V24x ) ) ) )
& ! [V27x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F14 @ V3a @ V2b ) @ V1c @ V27x )
<=> ( ( V1c @ V27x )
| ( ( ( V3a @ V27x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V27x ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F15 @ V2b @ V3a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c ) @ V27x ) ) ) )
& ! [V30x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F16 @ V3a @ V2b @ V1c ) @ V0d @ V30x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2b @ V1c @ V30x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F17 @ V0d @ V1c ) @ ( F22 @ V3a @ V0d ) @ V30x ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F18 @ V2b @ V1c @ V0d @ V3a ) @ V0d @ V30x ) ) )
& ! [V37x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F19 @ V3a @ V2b @ V1c ) @ V0d @ V37x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2b @ V1c @ V37x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F20 @ V0d @ V2b ) @ ( F23 @ V3a @ V0d ) @ V37x ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F21 @ V1c @ V0d @ V2b @ V3a ) @ V0d @ V37x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESEPARATE__BEFORE__THM,axiom,
! [F7: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F22: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F19: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F16: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F14: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F17: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F15: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F25: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F24: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F21: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F18: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F30: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F31: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F23: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F29: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F27: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F28: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F20: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F26: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V1c @ V16t )
<=> ( (~) @ ( V1c @ V16t ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V22t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V1c @ V22t )
<=> ( (~) @ ( V1c @ V22t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V23t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V3a @ V0d @ V23t )
<=> ( ( V3a @ V23t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0d @ V23t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V3a @ V1c @ V17t )
<=> ( ( V3a @ V17t )
| ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V17t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V3a @ V2b @ V7t )
<=> ( ( V3a @ V7t )
| ( V2b @ V7t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2b @ V1c @ V5t )
<=> ( ( V2b @ V5t )
| ( V1c @ V5t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V41t: mono_2Etyop_2Enum_2Enum] :
( ( F22 @ V0d @ V2b @ V41t )
<=> ( ( (~) @ ( V0d @ V41t ) )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V41t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V34t: mono_2Etyop_2Enum_2Enum] :
( ( F19 @ V0d @ V1c @ V34t )
<=> ( ( (~) @ ( V0d @ V34t ) )
& ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V34t ) ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V2b @ V1c @ V12t )
<=> ( ( V2b @ V12t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1c @ V12t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V30t: mono_2Etyop_2Enum_2Enum] :
( ( F16 @ V3a @ V2b @ V30t )
<=> ( ( V3a @ V30t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V30t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V9t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2b @ V1c @ V9t )
<=> ( ( V2b @ V9t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V9t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V27t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V3a @ V2b @ V27t )
<=> ( ( V3a @ V27t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2b @ V27t ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V1c @ V2b @ V13t )
<=> ( ( V1c @ V13t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V13t ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V1c @ V2b @ V10t )
<=> ( ( V1c @ V10t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V10t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V31t: mono_2Etyop_2Enum_2Enum] :
( ( F17 @ V2b @ V3a @ V31t )
<=> ( ( V2b @ V31t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V3a @ V31t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V28t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V2b @ V3a @ V28t )
<=> ( ( V2b @ V28t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V3a @ V28t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V42t: mono_2Etyop_2Enum_2Enum] :
( ( F25 @ V3a @ V0d @ V42t )
<=> ( ( V3a @ V42t )
& ( (~) @ ( V0d @ V42t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V35t: mono_2Etyop_2Enum_2Enum] :
( ( F24 @ V3a @ V0d @ V35t )
<=> ( ( V3a @ V35t )
& ( (~) @ ( V0d @ V35t ) ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2b @ V1c @ V0d @ V15t )
<=> ( ( V2b @ V15t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V1c @ V0d @ V15t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V40t: mono_2Etyop_2Enum_2Enum] :
( ( F21 @ V3a @ V2b @ V1c @ V40t )
<=> ( ( V3a @ V40t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2b @ V1c @ V40t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V33t: mono_2Etyop_2Enum_2Enum] :
( ( F18 @ V3a @ V2b @ V1c @ V33t )
<=> ( ( V3a @ V33t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2b @ V1c @ V33t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V21t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2b @ V1c @ V0d @ V21t )
<=> ( ( V2b @ V21t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V1c @ V0d @ V21t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V44t: mono_2Etyop_2Enum_2Enum] :
( ( F30 @ V0d @ V2b @ V44t )
<=> ( ( (~) @ ( V0d @ V44t ) )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V44t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V45t: mono_2Etyop_2Enum_2Enum] :
( ( F31 @ V3a @ V0d @ V45t )
<=> ( ( V3a @ V45t )
& ( (~) @ ( V0d @ V45t ) ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V43t: mono_2Etyop_2Enum_2Enum] :
( ( F23 @ V1c @ V0d @ V2b @ V3a @ V43t )
<=> ( ( V1c @ V43t )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F30 @ V0d @ V2b ) @ ( F31 @ V3a @ V0d ) @ V43t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V19t: mono_2Etyop_2Enum_2Enum] :
( ( F29 @ V3a @ V1c @ V19t )
<=> ( ( (~) @ ( V3a @ V19t ) )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V19t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V0d @ V3a @ V1c @ V2b @ V18t )
<=> ( ( V0d @ V18t )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F29 @ V3a @ V1c ) @ V2b @ V18t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V37t: mono_2Etyop_2Enum_2Enum] :
( ( F27 @ V0d @ V1c @ V37t )
<=> ( ( (~) @ ( V0d @ V37t ) )
& ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V37t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V38t: mono_2Etyop_2Enum_2Enum] :
( ( F28 @ V3a @ V0d @ V38t )
<=> ( ( V3a @ V38t )
& ( (~) @ ( V0d @ V38t ) ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V36t: mono_2Etyop_2Enum_2Enum] :
( ( F20 @ V2b @ V1c @ V0d @ V3a @ V36t )
<=> ( ( V2b @ V36t )
& ( (~) @ ( V1c @ V36t ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F27 @ V0d @ V1c ) @ ( F28 @ V3a @ V0d ) @ V36t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V25t: mono_2Etyop_2Enum_2Enum] :
( ( F26 @ V3a @ V0d @ V25t )
<=> ( ( (~) @ ( V3a @ V25t ) )
& ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0d @ V25t ) ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V24t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V1c @ V0d @ V3a @ V2b @ V24t )
<=> ( ( V1c @ V24t )
& ( (~) @ ( V0d @ V24t ) )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F26 @ V3a @ V0d ) @ V2b @ V24t ) ) )
=> ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F0 @ V2b @ V1c ) @ V4x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ V2b @ V4x )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ V1c @ V4x ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F1 @ V3a @ V2b ) @ V1c @ V6x )
<=> ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ V1c @ V6x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2b @ V1c @ V6x ) ) )
& ! [V8x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F2 @ V2b @ V1c ) @ V8x )
<=> ( ( (~)
@ ( ( V2b @ V8x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V8x ) ) )
& ( ( V3a @ V8x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V3a ) @ ( F3 @ V1c @ V2b ) @ V8x ) ) ) )
& ! [V11x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F4 @ V2b @ V1c ) @ V11x )
<=> ( ( (~)
@ ( ( V2b @ V11x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1c @ V11x ) ) )
& ( ( V3a @ V11x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V3a ) @ ( F5 @ V1c @ V2b ) @ V11x ) ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F6 @ V2b @ V1c @ V0d ) @ V14x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F7 @ V1c ) @ V0d @ V14x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F8 @ V3a @ V1c ) @ V2b @ V14x ) )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F9 @ V0d @ V3a @ V1c @ V2b ) @ V14x ) ) )
& ! [V20x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F10 @ V2b @ V1c @ V0d ) @ V20x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F11 @ V1c ) @ V0d @ V20x )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F12 @ V3a @ V0d ) @ V2b @ V20x ) )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V3a @ ( F13 @ V1c @ V0d @ V3a @ V2b ) @ V20x ) ) )
& ! [V26x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F14 @ V3a @ V2b ) @ V1c @ V26x )
<=> ( ( ( (~) @ ( V1c @ V26x ) )
& ( V3a @ V26x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2b @ V26x ) )
| ( ( (~) @ ( V1c @ V26x ) )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F15 @ V2b @ V3a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c ) @ V26x ) ) ) )
& ! [V29x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F16 @ V3a @ V2b ) @ V1c @ V29x )
<=> ( ( ( (~) @ ( V1c @ V29x ) )
& ( V3a @ V29x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V29x ) )
| ( ( (~) @ ( V1c @ V29x ) )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F17 @ V2b @ V3a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c ) @ V29x ) ) ) )
& ! [V32x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F18 @ V3a @ V2b @ V1c ) @ V0d @ V32x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ V2b @ V1c @ V32x )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F19 @ V0d @ V1c ) @ ( F24 @ V3a @ V0d ) @ V32x ) )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F20 @ V2b @ V1c @ V0d @ V3a ) @ V0d @ V32x ) ) )
& ! [V39x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F21 @ V3a @ V2b @ V1c ) @ V0d @ V39x )
<=> ( ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2b @ V1c @ V39x )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F22 @ V0d @ V2b ) @ ( F25 @ V3a @ V0d ) @ V39x ) )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F23 @ V1c @ V0d @ V2b @ V3a ) @ V0d @ V39x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESEPARATE__PNEXT__THM,axiom,
! [F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V14t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V2a @ V1b @ V14t )
<=> ( ( V2a @ V14t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V14t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V2a @ V0c @ V20t )
<=> ( ( V2a @ V20t )
| ( (~) @ ( V0c @ V20t ) ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V2a @ V0c @ V17t )
<=> ( ( V2a @ V17t )
| ( V0c @ V17t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V21t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V2a @ V1b @ V21t )
<=> ( ( V2a @ V21t )
| ( V1b @ V21t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2a @ V1b @ V4t )
<=> ( ( V2a @ V4t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b @ V4t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2a @ V0c @ V12t )
<=> ( ( V2a @ V12t )
& ( (~) @ ( V0c @ V12t ) ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2a @ V1b @ V8t )
<=> ( ( V2a @ V8t )
& ( V1b @ V8t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V2a @ V0c @ V7t )
<=> ( ( V2a @ V7t )
& ( V0c @ V7t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V2a @ V1b @ V0c @ V16t )
<=> ( ( V2a @ V16t )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1b @ V0c @ V16t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V19t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V2a @ V1b @ V0c @ V19t )
<=> ( ( V2a @ V19t )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1b @ V0c @ V19t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2a @ V1b @ V0c @ V6t )
<=> ( ( V2a @ V6t )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1b @ V0c @ V6t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V2a @ V1b @ V0c @ V10t )
<=> ( ( V2a @ V10t )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1b @ V0c @ V10t ) ) )
=> ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V0c: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V2a @ V1b @ V0c @ V11t )
<=> ( ( V2a @ V11t )
& ( V1b @ V11t )
& ( (~) @ ( V0c @ V11t ) ) ) )
=> ! [V0c: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V3x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F0 @ V2a @ V1b ) @ V3x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EInitPoint @ V3x )
| ( ( V1b @ V3x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V3x ) ) ) )
& ! [V5x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F1 @ V2a @ V1b @ V0c ) @ V5x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F2 @ V2a @ V0c ) @ V5x )
| ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1b @ V0c @ V5x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F3 @ V2a @ V1b ) @ V5x ) ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F4 @ V2a @ V1b @ V0c ) @ V9x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F5 @ V2a @ V1b @ V0c ) @ V9x )
| ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1b @ V0c @ V9x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F6 @ V2a @ V0c ) @ V9x ) ) ) )
& ! [V13x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F7 @ V2a @ V1b ) @ V13x )
<=> ( ( V1b @ V13x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V2a @ V13x ) ) )
& ! [V15x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F8 @ V2a @ V1b @ V0c ) @ V15x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F9 @ V2a @ V0c ) @ V15x )
| ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1b @ V0c @ V15x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1b @ V15x ) ) ) )
& ! [V18x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F10 @ V2a @ V1b @ V0c ) @ V18x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F11 @ V2a @ V0c ) @ V18x )
& ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1b @ V0c @ V18x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ ( F12 @ V2a @ V1b ) @ V18x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2EPast__Temporal__Logic_2ESEPARATE__PSUNTIL__THM,axiom,
! [F16: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F13: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F11: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F10: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F19: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F18: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F7: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F9: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F12: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F15: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F6: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F24: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F25: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F17: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F22: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F23: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F14: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F21: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F20: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F8: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V33t: mono_2Etyop_2Enum_2Enum] :
( ( F16 @ V0d @ V2b @ V33t )
<=> ( ( V0d @ V33t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V33t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V26t: mono_2Etyop_2Enum_2Enum] :
( ( F13 @ V0d @ V1c @ V26t )
<=> ( ( V0d @ V26t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V26t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V23t: mono_2Etyop_2Enum_2Enum] :
( ( F11 @ V2b @ V3a @ V23t )
<=> ( ( V2b @ V23t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V3a @ V23t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V22t: mono_2Etyop_2Enum_2Enum] :
( ( F10 @ V3a @ V2b @ V22t )
<=> ( ( V3a @ V22t )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V22t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V2b @ V1c @ V5t )
<=> ( ( V2b @ V5t )
| ( V1c @ V5t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V34t: mono_2Etyop_2Enum_2Enum] :
( ( F19 @ V3a @ V0d @ V34t )
<=> ( ( (~) @ ( V3a @ V34t ) )
& ( (~) @ ( V0d @ V34t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V27t: mono_2Etyop_2Enum_2Enum] :
( ( F18 @ V3a @ V0d @ V27t )
<=> ( ( (~) @ ( V3a @ V27t ) )
& ( (~) @ ( V0d @ V27t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V11t: mono_2Etyop_2Enum_2Enum] :
( ( F4 @ V3a @ V1c @ V11t )
<=> ( ( V3a @ V11t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V11t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V2b @ V1c @ V7t )
<=> ( ( V2b @ V7t )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V7t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V16t: mono_2Etyop_2Enum_2Enum] :
( ( F7 @ V3a @ V0d @ V16t )
<=> ( ( V3a @ V16t )
& ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0d @ V16t ) ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V20t: mono_2Etyop_2Enum_2Enum] :
( ( F9 @ V3a @ V2b @ V20t )
<=> ( ( V3a @ V20t )
& ( V2b @ V20t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V25t: mono_2Etyop_2Enum_2Enum] :
( ( F12 @ V3a @ V2b @ V1c @ V25t )
<=> ( ( V3a @ V25t )
| ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2b @ V1c @ V25t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V32t: mono_2Etyop_2Enum_2Enum] :
( ( F15 @ V3a @ V2b @ V1c @ V32t )
<=> ( ( V3a @ V32t )
| ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2b @ V1c @ V32t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V2b @ V1c @ V0d @ V10t )
<=> ( ( V2b @ V10t )
& ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1c @ V0d @ V10t ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V15t: mono_2Etyop_2Enum_2Enum] :
( ( F6 @ V2b @ V1c @ V0d @ V15t )
<=> ( ( V2b @ V15t )
& ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1c @ V0d @ V15t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V8t: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V3a @ V1c @ V2b @ V8t )
<=> ( ( V3a @ V8t )
& ( V1c @ V8t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V8t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V36t: mono_2Etyop_2Enum_2Enum] :
( ( F24 @ V0d @ V2b @ V36t )
<=> ( ( V0d @ V36t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V2b @ V36t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V37t: mono_2Etyop_2Enum_2Enum] :
( ( F25 @ V3a @ V0d @ V37t )
<=> ( ( (~) @ ( V3a @ V37t ) )
& ( (~) @ ( V0d @ V37t ) ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V35t: mono_2Etyop_2Enum_2Enum] :
( ( F17 @ V1c @ V0d @ V2b @ V3a @ V35t )
<=> ( ( (~) @ ( V1c @ V35t ) )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F24 @ V0d @ V2b ) @ ( F25 @ V3a @ V0d ) @ V35t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V29t: mono_2Etyop_2Enum_2Enum] :
( ( F22 @ V0d @ V1c @ V29t )
<=> ( ( V0d @ V29t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V29t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V30t: mono_2Etyop_2Enum_2Enum] :
( ( F23 @ V3a @ V0d @ V30t )
<=> ( ( (~) @ ( V3a @ V30t ) )
& ( (~) @ ( V0d @ V30t ) ) ) )
=> ( ! [V2b: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V28t: mono_2Etyop_2Enum_2Enum] :
( ( F14 @ V2b @ V1c @ V0d @ V3a @ V28t )
<=> ( ( V2b @ V28t )
| ( V1c @ V28t )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F22 @ V0d @ V1c ) @ ( F23 @ V3a @ V0d ) @ V28t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V13t: mono_2Etyop_2Enum_2Enum] :
( ( F21 @ V3a @ V1c @ V13t )
<=> ( ( V3a @ V13t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V1c @ V13t ) ) )
=> ( ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V12t: mono_2Etyop_2Enum_2Enum] :
( ( F5 @ V0d @ V3a @ V1c @ V2b @ V12t )
<=> ( ( V0d @ V12t )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F21 @ V3a @ V1c ) @ V2b @ V12t ) ) )
=> ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V18t: mono_2Etyop_2Enum_2Enum] :
( ( F20 @ V3a @ V0d @ V18t )
<=> ( ( V3a @ V18t )
& ( (~) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPNEXT @ V0d @ V18t ) ) ) )
=> ( ! [V1c: mono_2Etyop_2Enum_2Enum > $o,V0d: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V17t: mono_2Etyop_2Enum_2Enum] :
( ( F8 @ V1c @ V0d @ V3a @ V2b @ V17t )
<=> ( ( V1c @ V17t )
& ( (~) @ ( V0d @ V17t ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F20 @ V3a @ V0d ) @ V2b @ V17t ) ) )
=> ! [V0d: mono_2Etyop_2Enum_2Enum > $o,V1c: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o,V3a: mono_2Etyop_2Enum_2Enum > $o] :
( ! [V4x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F0 @ V2b @ V1c ) @ V4x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ V2b @ V4x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ V1c @ V4x ) ) )
& ! [V6x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F1 @ V2b @ V1c ) @ V6x )
<=> ( ( ( V2b @ V6x )
& ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1c @ V6x ) )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F2 @ V3a @ V1c @ V2b ) @ V6x ) ) )
& ! [V9x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F3 @ V2b @ V1c @ V0d ) @ V9x )
<=> ( ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1c @ V0d @ V9x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F4 @ V3a @ V1c ) @ V2b @ V9x ) )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F5 @ V0d @ V3a @ V1c @ V2b ) @ V9x ) ) )
& ! [V14x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F6 @ V2b @ V1c @ V0d ) @ V14x )
<=> ( ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1c @ V0d @ V14x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F7 @ V3a @ V0d ) @ V2b @ V14x ) )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ ( F8 @ V1c @ V0d @ V3a @ V2b ) @ V14x ) ) )
& ! [V19x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F9 @ V3a @ V2b ) @ V1c @ V19x )
<=> ( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V3a @ V1c @ V19x )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ V2b @ V1c @ V19x ) ) )
& ! [V21x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F10 @ V3a @ V2b ) @ V1c @ V21x )
<=> ( ( V1c @ V21x )
| ( ( ( V3a @ V21x )
| ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V2b @ V21x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F11 @ V2b @ V3a ) @ ( mono_2Ec_2EPast__Temporal__Logic_2EPSNEXT @ V1c ) @ V21x ) ) ) )
& ! [V24x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F12 @ V3a @ V2b @ V1c ) @ V0d @ V24x )
<=> ( ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2b @ V1c @ V24x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F13 @ V0d @ V1c ) @ ( F18 @ V3a @ V0d ) @ V24x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F14 @ V2b @ V1c @ V0d @ V3a ) @ V0d @ V24x ) ) )
& ! [V31x: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F15 @ V3a @ V2b @ V1c ) @ V0d @ V31x )
<=> ( ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2b @ V1c @ V31x )
| ( mono_2Ec_2EPast__Temporal__Logic_2EPBEFORE @ ( F16 @ V0d @ V2b ) @ ( F19 @ V3a @ V0d ) @ V31x ) )
& ( mono_2Ec_2EPast__Temporal__Logic_2EPSUNTIL @ ( F17 @ V1c @ V0d @ V2b @ V3a ) @ V0d @ V31x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
%------------------------------------------------------------------------------