ITP001 Axioms: ITP095^5.ax
%------------------------------------------------------------------------------
% File : ITP095^5 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 set theory export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : blast^2.ax [Gau20]
% : HL4095^5.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 26 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 1345 ( 8 equ; 0 cnn)
% Maximal formula atoms : 135 ( 51 avg)
% Number of connectives : 1749 ( 3 ~; 2 |; 7 &;1659 @)
% ( 19 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 14 avg;1659 nst)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 58 ( 57 usr; 57 con; 0-2 aty)
% Number of variables : 101 ( 24 ^ 77 !; 0 ?; 101 :)
% SPC : TH0_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(tp_c_2Eblast_2EBCARRY,type,
c_2Eblast_2EBCARRY: $i ).
thf(mem_c_2Eblast_2EBCARRY,axiom,
mem @ c_2Eblast_2EBCARRY @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ bool @ bool ) ) ) ) ).
thf(tp_c_2Eblast_2EBSUM,type,
c_2Eblast_2EBSUM: $i ).
thf(mem_c_2Eblast_2EBSUM,axiom,
mem @ c_2Eblast_2EBSUM @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ bool @ bool ) ) ) ) ).
thf(tp_c_2Eblast_2Ebcarry,type,
c_2Eblast_2Ebcarry: $i ).
thf(mem_c_2Eblast_2Ebcarry,axiom,
mem @ c_2Eblast_2Ebcarry @ ( arr @ bool @ ( arr @ bool @ ( arr @ bool @ bool ) ) ) ).
thf(tp_c_2Eblast_2Ebsum,type,
c_2Eblast_2Ebsum: $i ).
thf(mem_c_2Eblast_2Ebsum,axiom,
mem @ c_2Eblast_2Ebsum @ ( arr @ bool @ ( arr @ bool @ ( arr @ bool @ bool ) ) ) ).
thf(ax_thm_2Eblast_2Ebcarry__def,axiom,
! [V0x: $i] :
( ( mem @ V0x @ bool )
=> ! [V1y: $i] :
( ( mem @ V1y @ bool )
=> ! [V2c: $i] :
( ( mem @ V2c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ c_2Eblast_2Ebcarry @ V0x ) @ V1y ) @ V2c ) )
<=> ( ( ( p @ V0x )
& ( p @ V1y ) )
| ( ( ( p @ V0x )
| ( p @ V1y ) )
& ( p @ V2c ) ) ) ) ) ) ) ).
thf(ax_thm_2Eblast_2EBCARRY__def,axiom,
( ! [V0x: $i] :
( ( mem @ V0x @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V2c: $i] :
( ( mem @ V2c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0x ) @ V1y ) @ V2c ) )
<=> ( p @ V2c ) ) ) ) )
& ! [V3i: tp__ty_2Enum_2Enum,V4x: $i] :
( ( mem @ V4x @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V5y: $i] :
( ( mem @ V5y @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V6c: $i] :
( ( mem @ V6c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ V4x ) @ V5y ) @ V6c ) )
<=> ( p @ ( ap @ ( ap @ ( ap @ c_2Eblast_2Ebcarry @ ( ap @ V4x @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ ( ap @ V5y @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V4x ) @ V5y ) @ V6c ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBCARRY__def__compute,axiom,
( ! [V0x: $i] :
( ( mem @ V0x @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V2c: $i] :
( ( mem @ V2c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0x ) @ V1y ) @ V2c ) )
<=> ( p @ V2c ) ) ) ) )
& ! [V3i: tp__ty_2Enum_2Enum,V4x: $i] :
( ( mem @ V4x @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V5y: $i] :
( ( mem @ V5y @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V6c: $i] :
( ( mem @ V6c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) @ V4x ) @ V5y ) @ V6c ) )
<=> ( p @ ( ap @ ( ap @ ( ap @ c_2Eblast_2Ebcarry @ ( ap @ V4x @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ V5y @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V4x ) @ V5y ) @ V6c ) ) ) ) ) ) )
& ! [V7i: tp__ty_2Enum_2Enum,V8x: $i] :
( ( mem @ V8x @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V9y: $i] :
( ( mem @ V9y @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V10c: $i] :
( ( mem @ V10c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V7i ) ) ) ) @ V8x ) @ V9y ) @ V10c ) )
<=> ( p @ ( ap @ ( ap @ ( ap @ c_2Eblast_2Ebcarry @ ( ap @ V8x @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7i ) ) ) ) ) @ ( ap @ V9y @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7i ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7i ) ) ) ) @ V8x ) @ V9y ) @ V10c ) ) ) ) ) ) ) ) ).
thf(ax_thm_2Eblast_2Ebsum__def,axiom,
! [V0x: $i] :
( ( mem @ V0x @ bool )
=> ! [V1y: $i] :
( ( mem @ V1y @ bool )
=> ! [V2c: $i] :
( ( mem @ V2c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ c_2Eblast_2Ebsum @ V0x ) @ V1y ) @ V2c ) )
<=> ( ( ( p @ V0x )
<=> ~ ( p @ V1y ) )
<=> ~ ( p @ V2c ) ) ) ) ) ) ).
thf(ax_thm_2Eblast_2EBSUM__def,axiom,
! [V0i: tp__ty_2Enum_2Enum,V1x: $i] :
( ( mem @ V1x @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V2y: $i] :
( ( mem @ V2y @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V3c: $i] :
( ( mem @ V3c @ bool )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBSUM @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1x ) @ V2y ) @ V3c ) )
<=> ( p @ ( ap @ ( ap @ ( ap @ c_2Eblast_2Ebsum @ ( ap @ V1x @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) @ ( ap @ V2y @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1x ) @ V2y ) @ V3c ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBCARRY__LEM,axiom,
! [V0i: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum,V3c: $i] :
( ( mem @ V3c @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) )
=> ( ( p
@ ( ap
@ ( ap
@ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ V0i ) )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V4i: $i] : ( ap @ ( ap @ c_2Ebit_2EBIT @ V4i ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V5i: $i] : ( ap @ ( ap @ c_2Ebit_2EBIT @ V5i ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
@ V3c ) )
<=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V3c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBCARRY__EQ,axiom,
! [V0n: tp__ty_2Enum_2Enum,V1c: $i] :
( ( mem @ V1c @ bool )
=> ! [V2x1: $i] :
( ( mem @ V2x1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V3x2: $i] :
( ( mem @ V3x2 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V4y1: $i] :
( ( mem @ V4y1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V5y2: $i] :
( ( mem @ V5y2 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ( ! [V6i: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
=> ( ( ( p @ ( ap @ V2x1 @ ( inj__ty_2Enum_2Enum @ V6i ) ) )
<=> ( p @ ( ap @ V3x2 @ ( inj__ty_2Enum_2Enum @ V6i ) ) ) )
& ( ( p @ ( ap @ V4y1 @ ( inj__ty_2Enum_2Enum @ V6i ) ) )
<=> ( p @ ( ap @ V5y2 @ ( inj__ty_2Enum_2Enum @ V6i ) ) ) ) ) )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2x1 ) @ V4y1 ) @ V1c ) )
<=> ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V3x2 ) @ V5y2 ) @ V1c ) ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBSUM__EQ,axiom,
! [V0n: tp__ty_2Enum_2Enum,V1c: $i] :
( ( mem @ V1c @ bool )
=> ! [V2x1: $i] :
( ( mem @ V2x1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V3x2: $i] :
( ( mem @ V3x2 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V4y1: $i] :
( ( mem @ V4y1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ! [V5y2: $i] :
( ( mem @ V5y2 @ ( arr @ ty_2Enum_2Enum @ bool ) )
=> ( ! [V6i: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V6i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
=> ( ( ( p @ ( ap @ V2x1 @ ( inj__ty_2Enum_2Enum @ V6i ) ) )
<=> ( p @ ( ap @ V3x2 @ ( inj__ty_2Enum_2Enum @ V6i ) ) ) )
& ( ( p @ ( ap @ V4y1 @ ( inj__ty_2Enum_2Enum @ V6i ) ) )
<=> ( p @ ( ap @ V5y2 @ ( inj__ty_2Enum_2Enum @ V6i ) ) ) ) ) )
=> ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBSUM @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2x1 ) @ V4y1 ) @ V1c ) )
<=> ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBSUM @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V3x2 ) @ V5y2 ) @ V1c ) ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBSUM__LEM,axiom,
! [V0i: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum,V3c: $i] :
( ( mem @ V3c @ bool )
=> ( ( p
@ ( ap
@ ( ap
@ ( ap @ ( ap @ c_2Eblast_2EBSUM @ ( inj__ty_2Enum_2Enum @ V0i ) )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V4i: $i] : ( ap @ ( ap @ c_2Ebit_2EBIT @ V4i ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V5i: $i] : ( ap @ ( ap @ c_2Ebit_2EBIT @ V5i ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
@ V3c ) )
<=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V3c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBITWISE__ADD,axiom,
! [A_27a: del,V0x: $i] :
( ( mem @ V0x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V0x ) @ V1y )
= ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2i: $i] : ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBSUM @ V2i ) @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0x ) ) @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V1y ) ) @ c_2Ebool_2EF ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBITWISE__SUB,axiom,
! [A_27a: del,V0x: $i] :
( ( mem @ V0x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V0x ) @ V1y )
= ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2i: $i] : ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBSUM @ V2i ) @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0x ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ bool @ bool ) @ c_2Ebool_2E_7E ) @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V1y ) ) ) @ c_2Ebool_2ET ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBITWISE__LO,axiom,
! [A_27a: del,V0x: $i] :
( ( mem @ V0x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lo @ A_27a ) @ V0x ) @ V1y ) )
<=> ~ ( p @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Eblast_2EBCARRY @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0x ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ bool @ bool ) @ c_2Ebool_2E_7E ) @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V1y ) ) ) @ c_2Ebool_2ET ) ) ) ) ) ).
thf(conj_thm_2Eblast_2EBITWISE__MUL,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ V0w ) @ V1m )
= ( ap
@ ( ap
@ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
@ ( lam @ ( ty_2Efcp_2Ecart @ bool @ A_27a )
@ ^ [V2a: $i] :
( lam @ ty_2Enum_2Enum
@ ^ [V3j: $i] :
( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V2a )
@ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V4i: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ V3j ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V3j ) @ V4i ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V1m ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V4i ) @ V3j ) ) ) ) ) ) ) ) ) )
@ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
@ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2Eword__lsl__bv__expand,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__lsl__bv @ A_27a ) @ V0w ) @ V1m )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V1m ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) )
@ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2k: $i] :
( ap
@ ( ap @ c_2Ebool_2E_2F_5C
@ ( ap
@ ( ap
@ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ bool )
@ ( lam @ bool
@ ^ [V3a: $i] :
( lam @ ty_2Enum_2Enum
@ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V3a ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__bits @ A_27a ) @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V4j ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V4j ) @ V2k ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2k ) @ V4j ) ) ) ) ) ) ) )
@ c_2Ebool_2EF )
@ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) )
@ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__bits @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2Eword__lsr__bv__expand,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__lsr__bv @ A_27a ) @ V0w ) @ V1m )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V1m ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) )
@ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2k: $i] :
( ap
@ ( ap @ c_2Ebool_2E_2F_5C
@ ( ap
@ ( ap
@ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ bool )
@ ( lam @ bool
@ ^ [V3a: $i] :
( lam @ ty_2Enum_2Enum
@ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V3a ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__bits @ A_27a ) @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V4j ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2k ) @ V4j ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2k ) @ V4j ) ) ) ) ) ) ) )
@ c_2Ebool_2EF )
@ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) )
@ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__bits @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2Eword__asr__bv__expand,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__asr__bv @ A_27a ) @ V0w ) @ V1m )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
@ ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2k: $i] :
( ap
@ ( ap @ c_2Ebool_2E_5C_2F
@ ( ap
@ ( ap @ c_2Ebool_2E_2F_5C
@ ( ap
@ ( ap
@ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ bool )
@ ( lam @ bool
@ ^ [V3a: $i] :
( lam @ ty_2Enum_2Enum
@ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V3a ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__bits @ A_27a ) @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V4j ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__asr @ A_27a ) @ V0w ) @ V4j ) ) @ V2k ) ) ) ) ) )
@ c_2Ebool_2EF )
@ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) )
@ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__bits @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1m ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
@ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lo @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V1m ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2Eword__ror__bv__expand,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__ror__bv @ A_27a ) @ V0w ) @ V1m )
= ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2k: $i] :
( ap
@ ( ap
@ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ bool )
@ ( lam @ bool
@ ^ [V3a: $i] :
( lam @ ty_2Enum_2Enum
@ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V3a ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mod @ A_27a ) @ V1m ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V4j ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V4j ) @ V2k ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ) ) ) )
@ c_2Ebool_2EF )
@ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ) ) ) ) ).
thf(conj_thm_2Eblast_2Eword__rol__bv__expand,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__rol__bv @ A_27a ) @ V0w ) @ V1m )
= ( ap @ ( c_2Efcp_2EFCP @ bool @ A_27a )
@ ( lam @ ty_2Enum_2Enum
@ ^ [V2k: $i] :
( ap
@ ( ap
@ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ bool )
@ ( lam @ bool
@ ^ [V3a: $i] :
( lam @ ty_2Enum_2Enum
@ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V3a ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mod @ A_27a ) @ V1m ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ V4j ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ bool @ A_27a ) @ V0w ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2k ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ V4j ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ) ) ) )
@ c_2Ebool_2EF )
@ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ) ) ) ) ).
%------------------------------------------------------------------------------