%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP001+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:22:59 AM UTC 2026
% Result : Theorem 4.82s 1.13s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 118
% Syntax : Number of formulae : 1115 ( 554 unt; 0 typ; 0 def)
% Number of atoms : 6981 (2440 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 18080 (1604 ~;2002 |; 42 &;14144 @)
% ( 24 <=>; 264 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 92 ( 89 usr; 16 con; 0-4 aty)
% Number of variables : 2723 ( 0 ^;2719 !; 4 ?;2723 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_ap,type,
ap: $i > $i > $i ).
thf(tp_arr,type,
arr: $i > $i > $i ).
thf(tp_bool,type,
bool: $i ).
thf(tp_c_2Ebool_2EARB,type,
c_2Ebool_2EARB: $i > $i ).
thf(tp_c_2Ebool_2EBOUNDED,type,
c_2Ebool_2EBOUNDED: $i ).
thf(tp_c_2Ebool_2ECOND,type,
c_2Ebool_2ECOND: $i > $i ).
thf(tp_c_2Ebool_2EDATATYPE,type,
c_2Ebool_2EDATATYPE: $i > $i ).
thf(tp_c_2Ebool_2EF,type,
c_2Ebool_2EF: $i ).
thf(tp_c_2Ebool_2EIN,type,
c_2Ebool_2EIN: $i > $i ).
thf(tp_c_2Ebool_2ELET,type,
c_2Ebool_2ELET: $i > $i > $i ).
thf(tp_c_2Ebool_2EONE__ONE,type,
c_2Ebool_2EONE__ONE: $i > $i > $i ).
thf(tp_c_2Ebool_2EONTO,type,
c_2Ebool_2EONTO: $i > $i > $i ).
thf(tp_c_2Ebool_2ERES__ABSTRACT,type,
c_2Ebool_2ERES__ABSTRACT: $i > $i > $i ).
thf(tp_c_2Ebool_2ERES__EXISTS,type,
c_2Ebool_2ERES__EXISTS: $i > $i ).
thf(tp_c_2Ebool_2ERES__EXISTS__UNIQUE,type,
c_2Ebool_2ERES__EXISTS__UNIQUE: $i > $i ).
thf(tp_c_2Ebool_2ERES__FORALL,type,
c_2Ebool_2ERES__FORALL: $i > $i ).
thf(tp_c_2Ebool_2ERES__SELECT,type,
c_2Ebool_2ERES__SELECT: $i > $i ).
thf(tp_c_2Ebool_2ET,type,
c_2Ebool_2ET: $i ).
thf(tp_c_2Ebool_2ETYPE__DEFINITION,type,
c_2Ebool_2ETYPE__DEFINITION: $i > $i > $i ).
thf(tp_c_2Ebool_2E_21,type,
c_2Ebool_2E_21: $i > $i ).
thf(tp_c_2Ebool_2E_2F_5C,type,
c_2Ebool_2E_2F_5C: $i ).
thf(tp_c_2Ebool_2E_3F,type,
c_2Ebool_2E_3F: $i > $i ).
thf(tp_c_2Ebool_2E_3F_21,type,
c_2Ebool_2E_3F_21: $i > $i ).
thf(tp_c_2Ebool_2E_5C_2F,type,
c_2Ebool_2E_5C_2F: $i ).
thf(tp_c_2Ebool_2E_7E,type,
c_2Ebool_2E_7E: $i ).
thf(tp_c_2Ebool_2Eitself__case,type,
c_2Ebool_2Eitself__case: $i > $i > $i ).
thf(tp_c_2Ebool_2Eliteral__case,type,
c_2Ebool_2Eliteral__case: $i > $i > $i ).
thf(tp_c_2Ebool_2Ethe__value,type,
c_2Ebool_2Ethe__value: $i > $i ).
thf(tp_c_2Emin_2E_3D,type,
c_2Emin_2E_3D: $i > $i ).
thf(tp_c_2Emin_2E_3D_3D_3E,type,
c_2Emin_2E_3D_3D_3E: $i ).
thf(tp_c_2Emin_2E_40,type,
c_2Emin_2E_40: $i > $i ).
thf(tp_f1,type,
f1: $i > $i ).
thf(tp_f10,type,
f10: $i > $i > $i > $i ).
thf(tp_f11,type,
f11: $i > $i > $i ).
thf(tp_f12,type,
f12: $i > $i ).
thf(tp_f13,type,
f13: $i > $i > $i > $i ).
thf(tp_f14,type,
f14: $i > $i > $i ).
thf(tp_f15,type,
f15: $i > $i > $i > $i > $i ).
thf(tp_f16,type,
f16: $i > $i > $i > $i ).
thf(tp_f17,type,
f17: $i > $i > $i ).
thf(tp_f18,type,
f18: $i > $i ).
thf(tp_f19,type,
f19: $i > $i > $i > $i > $i ).
thf(tp_f2,type,
f2: $i > $i ).
thf(tp_f20,type,
f20: $i > $i > $i > $i ).
thf(tp_f21,type,
f21: $i > $i > $i ).
thf(tp_f22,type,
f22: $i > $i > $i > $i > $i ).
thf(tp_f23,type,
f23: $i > $i > $i > $i ).
thf(tp_f24,type,
f24: $i > $i > $i ).
thf(tp_f25,type,
f25: $i > $i > $i > $i > $i ).
thf(tp_f26,type,
f26: $i > $i > $i > $i ).
thf(tp_f27,type,
f27: $i > $i > $i > $i > $i ).
thf(tp_f28,type,
f28: $i > $i > $i > $i > $i ).
thf(tp_f29,type,
f29: $i > $i > $i > $i ).
thf(tp_f3,type,
f3: $i > $i > $i ).
thf(tp_f30,type,
f30: $i > $i > $i ).
thf(tp_f31,type,
f31: $i > $i > $i > $i ).
thf(tp_f32,type,
f32: $i > $i > $i ).
thf(tp_f33,type,
f33: $i > $i ).
thf(tp_f34,type,
f34: $i > $i > $i > $i ).
thf(tp_f35,type,
f35: $i > $i > $i ).
thf(tp_f36,type,
f36: $i > $i ).
thf(tp_f37,type,
f37: $i > $i > $i > $i ).
thf(tp_f38,type,
f38: $i > $i > $i ).
thf(tp_f39,type,
f39: $i > $i ).
thf(tp_f4,type,
f4: $i > $i ).
thf(tp_f40,type,
f40: $i > $i > $i ).
thf(tp_f41,type,
f41: $i > $i > $i > $i ).
thf(tp_f42,type,
f42: $i > $i > $i > $i ).
thf(tp_f43,type,
f43: $i > $i > $i ).
thf(tp_f44,type,
f44: $i > $i ).
thf(tp_f45,type,
f45: $i > $i > $i ).
thf(tp_f46,type,
f46: $i > $i ).
thf(tp_f5,type,
f5: $i ).
thf(tp_f6,type,
f6: $i > $i > $i ).
thf(tp_f7,type,
f7: $i > $i ).
thf(tp_f8,type,
f8: $i ).
thf(tp_f9,type,
f9: $i ).
thf(tp_i,type,
i: $i > $i ).
thf(tp_ind,type,
ind: $i ).
thf(tp_k,type,
k: $i > $i > $i ).
thf(tp_mem,type,
mem: $i > $i > $o ).
thf(tp_ne,type,
ne: $i > $o ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_sK1_V0f,type,
sK1_V0f: $i ).
thf(tp_sK2_V0t,type,
sK2_V0t: $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i > $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $i > $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i > $i > $i > $i ).
thf(tp_ty_2Ebool_2Eitself,type,
ty_2Ebool_2Eitself: $i > $i ).
thf(1,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2EDATATYPE @ A_27a )
= ( k @ A_27a @ c_2Ebool_2ET ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EDATATYPE__TAG__DEF) ).
thf(2,axiom,
( c_2Ebool_2EBOUNDED
= ( k @ bool @ c_2Ebool_2ET ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EBOUNDED__DEF) ).
thf(3,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__SELECT @ A_27a )
= ( f46 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ERES__SELECT__DEF) ).
thf(4,axiom,
! [A_27a: $i,V0p: $i] :
( ( ap @ ( f46 @ A_27a ) @ V0p )
= ( f45 @ A_27a @ V0p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f46) ).
thf(5,axiom,
! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f45 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f45) ).
thf(6,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a )
= ( f44 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF) ).
thf(7,axiom,
! [A_27a: $i,V0p: $i] :
( ( ap @ ( f44 @ A_27a ) @ V0p )
= ( f43 @ A_27a @ V0p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f44) ).
thf(8,axiom,
! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f43 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p ) @ ( f40 @ A_27a @ V1m ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f42 @ A_27a @ V1m @ V0p ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f43) ).
thf(9,axiom,
! [A_27a: $i,V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V3x: $i] :
( ( ap @ ( f42 @ A_27a @ V1m @ V0p ) @ V3x )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f41 @ A_27a @ V1m @ V3x ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f42) ).
thf(10,axiom,
! [A_27a: $i,V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V3x: $i] :
( ( mem @ V3x @ A_27a )
=> ! [V4y: $i] :
( ( ap @ ( f41 @ A_27a @ V1m @ V3x ) @ V4y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V3x ) ) @ ( ap @ V1m @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f41) ).
thf(11,axiom,
! [A_27a: $i,V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V2x: $i] :
( ( ap @ ( f40 @ A_27a @ V1m ) @ V2x )
= ( ap @ V1m @ V2x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f40) ).
thf(12,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__EXISTS @ A_27a )
= ( f39 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ERES__EXISTS__DEF) ).
thf(13,axiom,
! [A_27a: $i,V0p: $i] :
( ( ap @ ( f39 @ A_27a ) @ V0p )
= ( f38 @ A_27a @ V0p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f39) ).
thf(14,axiom,
! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f38 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f38) ).
thf(15,axiom,
! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V2x: $i] :
( ( ap @ ( f37 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f37) ).
thf(16,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__FORALL @ A_27a )
= ( f36 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ERES__FORALL__DEF) ).
thf(17,axiom,
! [A_27a: $i,V0p: $i] :
( ( ap @ ( f36 @ A_27a ) @ V0p )
= ( f35 @ A_27a @ V0p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f36) ).
thf(18,axiom,
! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f35 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f34 @ A_27a @ V0p @ V1m ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f35) ).
thf(19,axiom,
! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V2x: $i] :
( ( ap @ ( f34 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f34) ).
thf(20,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2EIN @ A_27a )
= ( f33 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EIN__DEF) ).
thf(21,axiom,
! [A_27a: $i,V0x: $i] :
( ( ap @ ( f33 @ A_27a ) @ V0x )
= ( f32 @ A_27a @ V0x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f33) ).
thf(22,axiom,
! [A_27a: $i,V0x: $i] :
( ( mem @ V0x @ A_27a )
=> ! [V1f: $i] :
( ( ap @ ( f32 @ A_27a @ V0x ) @ V1f )
= ( ap @ V1f @ V0x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f32) ).
thf(23,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2Eliteral__case__DEF) ).
thf(24,axiom,
? [V0f: $i] :
( ( mem @ V0f @ ( arr @ ind @ ind ) )
& ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ V0f ) )
& ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ V0f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EINFINITY__AX) ).
thf(25,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ A_27a )
=> ( ( p @ ( ap @ V0P @ V1x ) )
=> ( p @ ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ESELECT__AX) ).
thf(26,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ! [V0t: $i] :
( ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
=> ( ( f31 @ A_27b @ A_27a @ V0t )
= V0t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EETA__AX) ).
thf(27,axiom,
! [A_27b: $i,A_27a: $i,V0t: $i] :
( ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x: $i] :
( ( ap @ ( f31 @ A_27b @ A_27a @ V0t ) @ V1x )
= ( ap @ V0t @ V1x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f31) ).
thf(28,axiom,
! [V0t: $i] :
( ( mem @ V0t @ bool )
=> ( ( ( p @ V0t )
<=> $true )
| ( ( p @ V0t )
<=> $false ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EBOOL__CASES__AX) ).
thf(29,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b )
= ( f30 @ A_27b @ A_27a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ETYPE__DEFINITION) ).
thf(30,axiom,
! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( ap @ ( f30 @ A_27b @ A_27a ) @ V0P )
= ( f29 @ A_27b @ A_27a @ V0P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f30) ).
thf(31,axiom,
! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1rep: $i] :
( ( ap @ ( f29 @ A_27b @ A_27a @ V0P ) @ V1rep )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f26 @ A_27a @ A_27b @ V1rep ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f29) ).
thf(32,axiom,
! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V4x: $i] :
( ( ap @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) @ V4x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V0P @ V4x ) ) @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f28) ).
thf(33,axiom,
! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V4x: $i] :
( ( mem @ V4x @ A_27a )
=> ! [V5x_27: $i] :
( ( ap @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) @ V5x_27 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ ( ap @ V1rep @ V5x_27 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f27) ).
thf(34,axiom,
! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V2x_27: $i] :
( ( ap @ ( f26 @ A_27a @ A_27b @ V1rep ) @ V2x_27 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f26) ).
thf(35,axiom,
! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V2x_27: $i] :
( ( mem @ V2x_27 @ A_27b )
=> ! [V3x_27_27: $i] :
( ( ap @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) @ V3x_27_27 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V1rep @ V2x_27 ) ) @ ( ap @ V1rep @ V3x_27_27 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V2x_27 ) @ V3x_27_27 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f25) ).
thf(36,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2EONTO @ A_27a @ A_27b )
= ( f24 @ A_27a @ A_27b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EONTO__DEF) ).
thf(37,axiom,
! [A_27a: $i,A_27b: $i,V0f: $i] :
( ( ap @ ( f24 @ A_27a @ A_27b ) @ V0f )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f23 @ A_27a @ A_27b @ V0f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f24) ).
thf(38,axiom,
! [A_27a: $i,A_27b: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1y: $i] :
( ( ap @ ( f23 @ A_27a @ A_27b @ V0f ) @ V1y )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f23) ).
thf(39,axiom,
! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ A_27b )
=> ! [V2x: $i] :
( ( ap @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) @ V2x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1y ) @ ( ap @ V0f @ V2x ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f22) ).
thf(40,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b )
= ( f21 @ A_27b @ A_27a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EONE__ONE__DEF) ).
thf(41,axiom,
! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( ap @ ( f21 @ A_27b @ A_27a ) @ V0f )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f20 @ A_27b @ A_27a @ V0f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f21) ).
thf(42,axiom,
! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x1: $i] :
( ( ap @ ( f20 @ A_27b @ A_27a @ V0f ) @ V1x1 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f20) ).
thf(43,axiom,
! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x1: $i] :
( ( mem @ V1x1 @ A_27a )
=> ! [V2x2: $i] :
( ( ap @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) @ V2x2 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V1x1 ) ) @ ( ap @ V0f @ V2x2 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x1 ) @ V2x2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f19) ).
thf(44,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ECOND @ A_27a )
= ( f18 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ECOND__DEF) ).
thf(45,axiom,
! [A_27a: $i,V0t: $i] :
( ( ap @ ( f18 @ A_27a ) @ V0t )
= ( f17 @ A_27a @ V0t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f18) ).
thf(46,axiom,
! [A_27a: $i,V0t: $i] :
( ( mem @ V0t @ bool )
=> ! [V1t1: $i] :
( ( ap @ ( f17 @ A_27a @ V0t ) @ V1t1 )
= ( f16 @ A_27a @ V0t @ V1t1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f17) ).
thf(47,axiom,
! [A_27a: $i,V0t: $i] :
( ( mem @ V0t @ bool )
=> ! [V1t1: $i] :
( ( mem @ V1t1 @ A_27a )
=> ! [V2t2: $i] :
( ( ap @ ( f16 @ A_27a @ V0t @ V1t1 ) @ V2t2 )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f16) ).
thf(48,axiom,
! [A_27a: $i,V1t1: $i] :
( ( mem @ V1t1 @ A_27a )
=> ! [V2t2: $i] :
( ( mem @ V2t2 @ A_27a )
=> ! [V0t: $i] :
( ( mem @ V0t @ bool )
=> ! [V3x: $i] :
( ( ap @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) @ V3x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V1t1 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V2t2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f15) ).
thf(49,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2ELET @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ELET__DEF) ).
thf(50,axiom,
! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( ap @ ( f14 @ A_27b @ A_27a ) @ V0f )
= ( f13 @ A_27b @ A_27a @ V0f ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f14) ).
thf(51,axiom,
! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x: $i] :
( ( ap @ ( f13 @ A_27b @ A_27a @ V0f ) @ V1x )
= ( ap @ V0f @ V1x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f13) ).
thf(52,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2E_3F_21 @ A_27a )
= ( f12 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EEXISTS__UNIQUE__DEF) ).
thf(53,axiom,
! [A_27a: $i,V0P: $i] :
( ( ap @ ( f12 @ A_27a ) @ V0P )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f11 @ A_27a @ V0P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f12) ).
thf(54,axiom,
! [A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( ap @ ( f11 @ A_27a @ V0P ) @ V1x )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f10 @ A_27a @ V0P @ V1x ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f11) ).
thf(55,axiom,
! [A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ A_27a )
=> ! [V2y: $i] :
( ( ap @ ( f10 @ A_27a @ V0P @ V1x ) @ V2y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ V0P @ V2y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f10) ).
thf(56,axiom,
c_2Ebool_2E_7E = f9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ENOT__DEF) ).
thf(57,axiom,
! [V0t: $i] :
( ( ap @ f9 @ V0t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t ) @ c_2Ebool_2EF ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f9) ).
thf(58,axiom,
( $false
<=> ! [V0t: $i] :
( ( mem @ V0t @ bool )
=> ( p @ V0t ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EF__DEF) ).
thf(59,axiom,
c_2Ebool_2E_5C_2F = f8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EOR__DEF) ).
thf(60,axiom,
! [V0t1: $i] :
( ( ap @ f8 @ V0t1 )
= ( f7 @ V0t1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f8) ).
thf(61,axiom,
! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V1t2: $i] :
( ( ap @ ( f7 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ V0t1 @ V1t2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f7) ).
thf(62,axiom,
! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V1t2: $i] :
( ( mem @ V1t2 @ bool )
=> ! [V2t: $i] :
( ( ap @ ( f6 @ V0t1 @ V1t2 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ V2t ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) @ V2t ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f6) ).
thf(63,axiom,
c_2Ebool_2E_2F_5C = f5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EAND__DEF) ).
thf(64,axiom,
! [V0t1: $i] :
( ( ap @ f5 @ V0t1 )
= ( f4 @ V0t1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f5) ).
thf(65,axiom,
! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V1t2: $i] :
( ( ap @ ( f4 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ V1t2 @ V0t1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f4) ).
thf(66,axiom,
! [V1t2: $i] :
( ( mem @ V1t2 @ bool )
=> ! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V2t: $i] :
( ( ap @ ( f3 @ V1t2 @ V0t1 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) ) @ V2t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f3) ).
thf(67,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2E_3F @ A_27a )
= ( f2 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EEXISTS__DEF) ).
thf(68,axiom,
! [A_27a: $i,V0P: $i] :
( ( ap @ ( f2 @ A_27a ) @ V0P )
= ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f2) ).
thf(69,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2E_21 @ A_27a )
= ( f1 @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2EFORALL__DEF) ).
thf(70,axiom,
! [A_27a: $i,V0P: $i] :
( ( ap @ ( f1 @ A_27a ) @ V0P )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0P ) @ ( k @ A_27a @ c_2Ebool_2ET ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lameq_f1) ).
thf(71,axiom,
( $true
<=> ( ( i @ bool )
= ( i @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Ebool_2ET__DEF) ).
thf(72,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ( ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) )
<=> ~ ( p @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_neg_p) ).
thf(73,axiom,
mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
thf(74,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
thf(75,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Eliteral__case) ).
thf(76,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2Eitself__case @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Eitself__case) ).
thf(77,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) )
<=> ( ( p @ Q )
| ( p @ R ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_or_p) ).
thf(78,axiom,
mem @ c_2Ebool_2E_5C_2F @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_5C_2F) ).
thf(79,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ETYPE__DEFINITION) ).
thf(80,axiom,
p @ c_2Ebool_2ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
thf(81,axiom,
mem @ c_2Ebool_2ET @ bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
thf(82,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ERES__SELECT) ).
thf(83,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ERES__FORALL) ).
thf(84,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ERES__EXISTS__UNIQUE) ).
thf(85,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ERES__EXISTS) ).
thf(86,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ERES__ABSTRACT) ).
thf(87,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2EONTO @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EONTO) ).
thf(88,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EONE__ONE) ).
thf(89,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ELET) ).
thf(90,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2EIN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EIN) ).
thf(91,axiom,
~ ( p @ c_2Ebool_2EF ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).
thf(92,axiom,
mem @ c_2Ebool_2EF @ bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
thf(93,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ ( arr @ A_27a @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EDATATYPE) ).
thf(94,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ECOND @ A_27a ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ECOND) ).
thf(95,axiom,
mem @ c_2Ebool_2EBOUNDED @ ( arr @ bool @ bool ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EBOUNDED) ).
thf(96,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2EARB @ A_27a ) @ A_27a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EARB) ).
thf(97,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_3F_21) ).
thf(98,axiom,
! [A: $i] :
( ( ne @ A )
=> ! [Q: $i] :
( ( mem @ Q @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) )
<=> ? [X: $i] :
( ( mem @ X @ A )
& ( p @ ( ap @ Q @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_ex_p) ).
thf(99,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2E_3F @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_3F) ).
thf(100,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
<=> ( ( p @ Q )
& ( p @ R ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_and_p) ).
thf(101,axiom,
mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
thf(102,axiom,
! [A: $i] :
( ( ne @ A )
=> ! [Q: $i] :
( ( mem @ Q @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) )
<=> ! [X: $i] :
( ( mem @ X @ A )
=> ( p @ ( ap @ Q @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_all_p) ).
thf(103,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2E_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).
thf(104,axiom,
! [A0: $i] :
( ( ne @ A0 )
=> ( ne @ ( ty_2Ebool_2Eitself @ A0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Ebool_2Eitself) ).
thf(105,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Emin_2E_40 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_40) ).
thf(106,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) )
<=> ( ( p @ Q )
=> ( p @ R ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_imp_p) ).
thf(107,axiom,
mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
thf(108,axiom,
! [A: $i] :
( ( ne @ A )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ! [Y: $i] :
( ( mem @ Y @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) )
<=> ( X = Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_eq_p) ).
thf(109,axiom,
! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Emin_2E_3D @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).
thf(110,axiom,
! [A: $i,X: $i] :
( ( mem @ X @ A )
=> ( ( ap @ ( i @ A ) @ X )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibeta) ).
thf(111,axiom,
! [A: $i,Y: $i,X: $i] :
( ( mem @ X @ A )
=> ( ( ap @ ( k @ A @ Y ) @ X )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kbeta) ).
thf(112,axiom,
! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [G: $i] :
( ( mem @ G @ ( arr @ A @ B ) )
=> ( ! [X: $i] :
( ( mem @ X @ A )
=> ( ( ap @ F @ X )
= ( ap @ G @ X ) ) )
=> ( F = G ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext) ).
thf(113,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( ( p @ Q )
<=> ( p @ R ) )
=> ( Q = R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).
thf(114,axiom,
! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
thf(115,axiom,
! [A: $i] :
( ( ne @ A )
=> ! [B: $i] :
( ( ne @ B )
=> ( ne @ ( arr @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arr_ne) ).
thf(116,axiom,
ne @ ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ind_ne) ).
thf(117,axiom,
ne @ bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_ne) ).
thf(118,conjecture,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).
thf(119,negated_conjecture,
$true = $false,
inference(negate_conjecture,[status(cth)],[118]) ).
thf(120,plain,
$true = $false,
inference(unfold_def,[status(thm)],[119]) ).
thf(121,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2EDATATYPE @ A_27a )
= ( k @ A_27a @ c_2Ebool_2ET ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(122,plain,
( ( c_2Ebool_2EBOUNDED
= ( k @ bool @ c_2Ebool_2ET ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(123,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__SELECT @ A_27a )
= ( f46 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(124,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f46 @ A_27a ) @ V0p )
= ( f45 @ A_27a @ V0p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(125,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f45 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(126,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a )
= ( f44 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(127,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f44 @ A_27a ) @ V0p )
= ( f43 @ A_27a @ V0p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(128,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f43 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p ) @ ( f40 @ A_27a @ V1m ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f42 @ A_27a @ V1m @ V0p ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(129,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V3x: $i] :
( ( ap @ ( f42 @ A_27a @ V1m @ V0p ) @ V3x )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f41 @ A_27a @ V1m @ V3x ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(130,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V3x: $i] :
( ( mem @ V3x @ A_27a )
=> ! [V4y: $i] :
( ( ap @ ( f41 @ A_27a @ V1m @ V3x ) @ V4y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V3x ) ) @ ( ap @ V1m @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(131,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V2x: $i] :
( ( ap @ ( f40 @ A_27a @ V1m ) @ V2x )
= ( ap @ V1m @ V2x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(132,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__EXISTS @ A_27a )
= ( f39 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(133,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f39 @ A_27a ) @ V0p )
= ( f38 @ A_27a @ V0p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(134,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f38 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(135,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V2x: $i] :
( ( ap @ ( f37 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(136,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ERES__FORALL @ A_27a )
= ( f36 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(137,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f36 @ A_27a ) @ V0p )
= ( f35 @ A_27a @ V0p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(138,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( ap @ ( f35 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f34 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(139,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
=> ! [V1m: $i] :
( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
=> ! [V2x: $i] :
( ( ap @ ( f34 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(140,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2EIN @ A_27a )
= ( f33 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(141,plain,
( ( ! [A_27a: $i,V0x: $i] :
( ( ap @ ( f33 @ A_27a ) @ V0x )
= ( f32 @ A_27a @ V0x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(142,plain,
( ( ! [A_27a: $i,V0x: $i] :
( ( mem @ V0x @ A_27a )
=> ! [V1f: $i] :
( ( ap @ ( f32 @ A_27a @ V0x ) @ V1f )
= ( ap @ V1f @ V0x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(143,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(144,plain,
( ( ? [V0f: $i] :
( ( mem @ V0f @ ( arr @ ind @ ind ) )
& ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ V0f ) )
& ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ V0f ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(145,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ A_27a )
=> ( ( p @ ( ap @ V0P @ V1x ) )
=> ( p @ ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(146,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ! [V0t: $i] :
( ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
=> ( ( f31 @ A_27b @ A_27a @ V0t )
= V0t ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(147,plain,
( ( ! [A_27b: $i,A_27a: $i,V0t: $i] :
( ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x: $i] :
( ( ap @ ( f31 @ A_27b @ A_27a @ V0t ) @ V1x )
= ( ap @ V0t @ V1x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(148,plain,
( ( ! [V0t: $i] :
( ( mem @ V0t @ bool )
=> ( ( ( p @ V0t )
<=> $true )
| ( ( p @ V0t )
<=> $false ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(149,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b )
= ( f30 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(150,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( ap @ ( f30 @ A_27b @ A_27a ) @ V0P )
= ( f29 @ A_27b @ A_27a @ V0P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(151,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1rep: $i] :
( ( ap @ ( f29 @ A_27b @ A_27a @ V0P ) @ V1rep )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f26 @ A_27a @ A_27b @ V1rep ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(152,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V4x: $i] :
( ( ap @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) @ V4x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V0P @ V4x ) ) @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(153,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V4x: $i] :
( ( mem @ V4x @ A_27a )
=> ! [V5x_27: $i] :
( ( ap @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) @ V5x_27 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ ( ap @ V1rep @ V5x_27 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(154,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V2x_27: $i] :
( ( ap @ ( f26 @ A_27a @ A_27b @ V1rep ) @ V2x_27 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(155,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
=> ! [V2x_27: $i] :
( ( mem @ V2x_27 @ A_27b )
=> ! [V3x_27_27: $i] :
( ( ap @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) @ V3x_27_27 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V1rep @ V2x_27 ) ) @ ( ap @ V1rep @ V3x_27_27 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V2x_27 ) @ V3x_27_27 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(156,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2EONTO @ A_27a @ A_27b )
= ( f24 @ A_27a @ A_27b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(157,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f: $i] :
( ( ap @ ( f24 @ A_27a @ A_27b ) @ V0f )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f23 @ A_27a @ A_27b @ V0f ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(158,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1y: $i] :
( ( ap @ ( f23 @ A_27a @ A_27b @ V0f ) @ V1y )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(159,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1y: $i] :
( ( mem @ V1y @ A_27b )
=> ! [V2x: $i] :
( ( ap @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) @ V2x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1y ) @ ( ap @ V0f @ V2x ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(160,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b )
= ( f21 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(161,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( ap @ ( f21 @ A_27b @ A_27a ) @ V0f )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f20 @ A_27b @ A_27a @ V0f ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(162,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x1: $i] :
( ( ap @ ( f20 @ A_27b @ A_27a @ V0f ) @ V1x1 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(163,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x1: $i] :
( ( mem @ V1x1 @ A_27a )
=> ! [V2x2: $i] :
( ( ap @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) @ V2x2 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V1x1 ) ) @ ( ap @ V0f @ V2x2 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x1 ) @ V2x2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(164,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2ECOND @ A_27a )
= ( f18 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(165,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ( ap @ ( f18 @ A_27a ) @ V0t )
= ( f17 @ A_27a @ V0t ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(166,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ( mem @ V0t @ bool )
=> ! [V1t1: $i] :
( ( ap @ ( f17 @ A_27a @ V0t ) @ V1t1 )
= ( f16 @ A_27a @ V0t @ V1t1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(167,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ( mem @ V0t @ bool )
=> ! [V1t1: $i] :
( ( mem @ V1t1 @ A_27a )
=> ! [V2t2: $i] :
( ( ap @ ( f16 @ A_27a @ V0t @ V1t1 ) @ V2t2 )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(168,plain,
( ( ! [A_27a: $i,V1t1: $i] :
( ( mem @ V1t1 @ A_27a )
=> ! [V2t2: $i] :
( ( mem @ V2t2 @ A_27a )
=> ! [V0t: $i] :
( ( mem @ V0t @ bool )
=> ! [V3x: $i] :
( ( ap @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) @ V3x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V1t1 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V2t2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(169,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( ( c_2Ebool_2ELET @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(170,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( ap @ ( f14 @ A_27b @ A_27a ) @ V0f )
= ( f13 @ A_27b @ A_27a @ V0f ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(171,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
=> ! [V1x: $i] :
( ( ap @ ( f13 @ A_27b @ A_27a @ V0f ) @ V1x )
= ( ap @ V0f @ V1x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(172,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2E_3F_21 @ A_27a )
= ( f12 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(173,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( ap @ ( f12 @ A_27a ) @ V0P )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f11 @ A_27a @ V0P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(174,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( ap @ ( f11 @ A_27a @ V0P ) @ V1x )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f10 @ A_27a @ V0P @ V1x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(175,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ A_27a )
=> ! [V2y: $i] :
( ( ap @ ( f10 @ A_27a @ V0P @ V1x ) @ V2y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ V0P @ V2y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(176,plain,
( ( c_2Ebool_2E_7E = f9 )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(177,plain,
( ( ! [V0t: $i] :
( ( ap @ f9 @ V0t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t ) @ c_2Ebool_2EF ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(178,plain,
( ( $false
<=> ! [V0t: $i] :
( ( mem @ V0t @ bool )
=> ( p @ V0t ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(179,plain,
( ( c_2Ebool_2E_5C_2F = f8 )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(180,plain,
( ( ! [V0t1: $i] :
( ( ap @ f8 @ V0t1 )
= ( f7 @ V0t1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(181,plain,
( ( ! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V1t2: $i] :
( ( ap @ ( f7 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ V0t1 @ V1t2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(182,plain,
( ( ! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V1t2: $i] :
( ( mem @ V1t2 @ bool )
=> ! [V2t: $i] :
( ( ap @ ( f6 @ V0t1 @ V1t2 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ V2t ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) @ V2t ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(183,plain,
( ( c_2Ebool_2E_2F_5C = f5 )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(184,plain,
( ( ! [V0t1: $i] :
( ( ap @ f5 @ V0t1 )
= ( f4 @ V0t1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(185,plain,
( ( ! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V1t2: $i] :
( ( ap @ ( f4 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ V1t2 @ V0t1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(186,plain,
( ( ! [V1t2: $i] :
( ( mem @ V1t2 @ bool )
=> ! [V0t1: $i] :
( ( mem @ V0t1 @ bool )
=> ! [V2t: $i] :
( ( ap @ ( f3 @ V1t2 @ V0t1 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) ) @ V2t ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(187,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2E_3F @ A_27a )
= ( f2 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(188,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( ap @ ( f2 @ A_27a ) @ V0P )
= ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(189,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( ( c_2Ebool_2E_21 @ A_27a )
= ( f1 @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(190,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( ap @ ( f1 @ A_27a ) @ V0P )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0P ) @ ( k @ A_27a @ c_2Ebool_2ET ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(191,plain,
( ( $true
<=> ( ( i @ bool )
= ( i @ bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(192,plain,
( ( ! [Q: $i] :
( ( mem @ Q @ bool )
=> ( ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) )
<=> ~ ( p @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(193,plain,
( ( mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(194,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(195,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(196,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2Eitself__case @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(197,plain,
( ( ! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) )
<=> ( ( p @ Q )
| ( p @ R ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(198,plain,
( ( mem @ c_2Ebool_2E_5C_2F @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(199,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(200,plain,
( ( p @ c_2Ebool_2ET )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(201,plain,
( ( mem @ c_2Ebool_2ET @ bool )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(202,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(203,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(204,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(205,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(206,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(207,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2EONTO @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(208,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(209,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ! [A_27b: $i] :
( ( ne @ A_27b )
=> ( mem @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(210,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2EIN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(211,plain,
( ( ~ ( p @ c_2Ebool_2EF ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(212,plain,
( ( mem @ c_2Ebool_2EF @ bool )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(213,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(214,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2ECOND @ A_27a ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(215,plain,
( ( mem @ c_2Ebool_2EBOUNDED @ ( arr @ bool @ bool ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(216,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2EARB @ A_27a ) @ A_27a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(217,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(218,plain,
( ( ! [A: $i] :
( ( ne @ A )
=> ! [Q: $i] :
( ( mem @ Q @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) )
<=> ? [X: $i] :
( ( mem @ X @ A )
& ( p @ ( ap @ Q @ X ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(219,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2E_3F @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(220,plain,
( ( ! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
<=> ( ( p @ Q )
& ( p @ R ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(221,plain,
( ( mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(222,plain,
( ( ! [A: $i] :
( ( ne @ A )
=> ! [Q: $i] :
( ( mem @ Q @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) )
<=> ! [X: $i] :
( ( mem @ X @ A )
=> ( p @ ( ap @ Q @ X ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(223,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Ebool_2E_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(224,plain,
( ( ! [A0: $i] :
( ( ne @ A0 )
=> ( ne @ ( ty_2Ebool_2Eitself @ A0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(225,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Emin_2E_40 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(226,plain,
( ( ! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) )
<=> ( ( p @ Q )
=> ( p @ R ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(227,plain,
( ( mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(228,plain,
( ( ! [A: $i] :
( ( ne @ A )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ! [Y: $i] :
( ( mem @ Y @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) )
<=> ( X = Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(229,plain,
( ( ! [A_27a: $i] :
( ( ne @ A_27a )
=> ( mem @ ( c_2Emin_2E_3D @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(230,plain,
( ( ! [A: $i,X: $i] :
( ( mem @ X @ A )
=> ( ( ap @ ( i @ A ) @ X )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(231,plain,
( ( ! [A: $i,Y: $i,X: $i] :
( ( mem @ X @ A )
=> ( ( ap @ ( k @ A @ Y ) @ X )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(232,plain,
( ( ! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [G: $i] :
( ( mem @ G @ ( arr @ A @ B ) )
=> ( ! [X: $i] :
( ( mem @ X @ A )
=> ( ( ap @ F @ X )
= ( ap @ G @ X ) ) )
=> ( F = G ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(233,plain,
( ( ! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( ( p @ Q )
<=> ( p @ R ) )
=> ( Q = R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(234,plain,
( ( ! [A: $i,B: $i,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(235,plain,
( ( ! [A: $i] :
( ( ne @ A )
=> ! [B: $i] :
( ( ne @ B )
=> ( ne @ ( arr @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(236,plain,
( ( ne @ ind )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(237,plain,
( ( ne @ bool )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(238,plain,
( ( ~ $true ) = $true ),
inference(polarity_switch,[status(thm)],[120]) ).
thf(239,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2EDATATYPE @ A_27a )
= ( k @ A_27a @ c_2Ebool_2ET ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(240,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__SELECT @ A_27a )
= ( f46 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(241,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f45 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(242,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a )
= ( f44 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(243,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f43 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p ) @ ( f40 @ A_27a @ V1m ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f42 @ A_27a @ V1m @ V0p ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(244,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V3x: $i] :
( ( ap @ ( f42 @ A_27a @ V1m @ V0p ) @ V3x )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f41 @ A_27a @ V1m @ V3x ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(245,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V3x: $i] :
( ~ ( mem @ V3x @ A_27a )
| ! [V4y: $i] :
( ( ap @ ( f41 @ A_27a @ V1m @ V3x ) @ V4y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V3x ) ) @ ( ap @ V1m @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(246,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V2x: $i] :
( ( ap @ ( f40 @ A_27a @ V1m ) @ V2x )
= ( ap @ V1m @ V2x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(247,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__EXISTS @ A_27a )
= ( f39 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(248,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f38 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(249,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V2x: $i] :
( ( ap @ ( f37 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[135]) ).
thf(250,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__FORALL @ A_27a )
= ( f36 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[136]) ).
thf(251,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f35 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f34 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[138]) ).
thf(252,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V2x: $i] :
( ( ap @ ( f34 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[139]) ).
thf(253,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2EIN @ A_27a )
= ( f33 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(254,plain,
( ( ! [A_27a: $i,V0x: $i] :
( ~ ( mem @ V0x @ A_27a )
| ! [V1f: $i] :
( ( ap @ ( f32 @ A_27a @ V0x ) @ V1f )
= ( ap @ V1f @ V0x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(255,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(256,plain,
( ( ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
& ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) )
& ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(257,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1x: $i] :
( ~ ( mem @ V1x @ A_27a )
| ~ ( p @ ( ap @ V0P @ V1x ) )
| ( p @ ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(258,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ! [V0t: $i] :
( ~ ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
| ( ( f31 @ A_27b @ A_27a @ V0t )
= V0t ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[146]) ).
thf(259,plain,
( ( ! [A_27b: $i,A_27a: $i,V0t: $i] :
( ~ ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
| ! [V1x: $i] :
( ( ap @ ( f31 @ A_27b @ A_27a @ V0t ) @ V1x )
= ( ap @ V0t @ V1x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[147]) ).
thf(260,plain,
( ( ! [V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ( p @ V0t )
| ~ ( p @ V0t ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[148]) ).
thf(261,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b )
= ( f30 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[149]) ).
thf(262,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1rep: $i] :
( ( ap @ ( f29 @ A_27b @ A_27a @ V0P ) @ V1rep )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f26 @ A_27a @ A_27b @ V1rep ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[151]) ).
thf(263,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V4x: $i] :
( ( ap @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) @ V4x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V0P @ V4x ) ) @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(264,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V4x: $i] :
( ~ ( mem @ V4x @ A_27a )
| ! [V5x_27: $i] :
( ( ap @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) @ V5x_27 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ ( ap @ V1rep @ V5x_27 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(265,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V2x_27: $i] :
( ( ap @ ( f26 @ A_27a @ A_27b @ V1rep ) @ V2x_27 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[154]) ).
thf(266,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V2x_27: $i] :
( ~ ( mem @ V2x_27 @ A_27b )
| ! [V3x_27_27: $i] :
( ( ap @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) @ V3x_27_27 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V1rep @ V2x_27 ) ) @ ( ap @ V1rep @ V3x_27_27 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V2x_27 ) @ V3x_27_27 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(267,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2EONTO @ A_27a @ A_27b )
= ( f24 @ A_27a @ A_27b ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[156]) ).
thf(268,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1y: $i] :
( ( ap @ ( f23 @ A_27a @ A_27b @ V0f ) @ V1y )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[158]) ).
thf(269,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1y: $i] :
( ~ ( mem @ V1y @ A_27b )
| ! [V2x: $i] :
( ( ap @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) @ V2x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1y ) @ ( ap @ V0f @ V2x ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(270,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b )
= ( f21 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(271,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1x1: $i] :
( ( ap @ ( f20 @ A_27b @ A_27a @ V0f ) @ V1x1 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[162]) ).
thf(272,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1x1: $i] :
( ~ ( mem @ V1x1 @ A_27a )
| ! [V2x2: $i] :
( ( ap @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) @ V2x2 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V1x1 ) ) @ ( ap @ V0f @ V2x2 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x1 ) @ V2x2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(273,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ECOND @ A_27a )
= ( f18 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[164]) ).
thf(274,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ! [V1t1: $i] :
( ( ap @ ( f17 @ A_27a @ V0t ) @ V1t1 )
= ( f16 @ A_27a @ V0t @ V1t1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[166]) ).
thf(275,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ! [V1t1: $i] :
( ~ ( mem @ V1t1 @ A_27a )
| ! [V2t2: $i] :
( ( ap @ ( f16 @ A_27a @ V0t @ V1t1 ) @ V2t2 )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[167]) ).
thf(276,plain,
( ( ! [A_27a: $i,V1t1: $i] :
( ~ ( mem @ V1t1 @ A_27a )
| ! [V2t2: $i] :
( ~ ( mem @ V2t2 @ A_27a )
| ! [V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ! [V3x: $i] :
( ( ap @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) @ V3x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V1t1 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V2t2 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[168]) ).
thf(277,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2ELET @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[169]) ).
thf(278,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1x: $i] :
( ( ap @ ( f13 @ A_27b @ A_27a @ V0f ) @ V1x )
= ( ap @ V0f @ V1x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[171]) ).
thf(279,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2E_3F_21 @ A_27a )
= ( f12 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[172]) ).
thf(280,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1x: $i] :
( ( ap @ ( f11 @ A_27a @ V0P ) @ V1x )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f10 @ A_27a @ V0P @ V1x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[174]) ).
thf(281,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1x: $i] :
( ~ ( mem @ V1x @ A_27a )
| ! [V2y: $i] :
( ( ap @ ( f10 @ A_27a @ V0P @ V1x ) @ V2y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ V0P @ V2y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[175]) ).
thf(282,plain,
( ( ( mem @ sK2_V0t @ bool )
& ~ ( p @ sK2_V0t ) )
= $true ),
inference(extcnf_combined,[status(esa)],[178]) ).
thf(283,plain,
( ( ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V1t2: $i] :
( ( ap @ ( f7 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ V0t1 @ V1t2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[181]) ).
thf(284,plain,
( ( ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V1t2: $i] :
( ~ ( mem @ V1t2 @ bool )
| ! [V2t: $i] :
( ( ap @ ( f6 @ V0t1 @ V1t2 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ V2t ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) @ V2t ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[182]) ).
thf(285,plain,
( ( ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V1t2: $i] :
( ( ap @ ( f4 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ V1t2 @ V0t1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[185]) ).
thf(286,plain,
( ( ! [V1t2: $i] :
( ~ ( mem @ V1t2 @ bool )
| ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V2t: $i] :
( ( ap @ ( f3 @ V1t2 @ V0t1 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) ) @ V2t ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[186]) ).
thf(287,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2E_3F @ A_27a )
= ( f2 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[187]) ).
thf(288,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2E_21 @ A_27a )
= ( f1 @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[189]) ).
thf(289,plain,
$true = $true,
inference(extcnf_combined,[status(esa)],[191]) ).
thf(290,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) )
| ~ ( p @ Q ) )
& ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( p @ Q )
| ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[192]) ).
thf(291,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[194]) ).
thf(292,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[195]) ).
thf(293,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2Eitself__case @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[196]) ).
thf(294,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) )
| ( p @ Q )
| ( p @ R ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ Q )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ R )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[197]) ).
thf(295,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[199]) ).
thf(296,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(297,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[203]) ).
thf(298,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[204]) ).
thf(299,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(300,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[206]) ).
thf(301,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2EONTO @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(302,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(303,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(304,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2EIN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[210]) ).
thf(305,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[213]) ).
thf(306,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ECOND @ A_27a ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(307,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2EARB @ A_27a ) @ A_27a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[216]) ).
thf(308,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[217]) ).
thf(309,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ( ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ~ ( p @ ( ap @ Q @ X ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) ) )
& ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) )
| ( ( mem @ ( sK3_X @ Q @ A ) @ A )
& ( p @ ( ap @ Q @ ( sK3_X @ Q @ A ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(310,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2E_3F @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(311,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ Q )
| ~ ( p @ R )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
| ( p @ Q ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
| ( p @ R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(312,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ( ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ( ( mem @ ( sK4_X @ Q @ A ) @ A )
& ~ ( p @ ( ap @ Q @ ( sK4_X @ Q @ A ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) ) )
& ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ( p @ ( ap @ Q @ X ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(313,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2E_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(314,plain,
( ( ! [A0: $i] :
( ~ ( ne @ A0 )
| ( ne @ ( ty_2Ebool_2Eitself @ A0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(315,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Emin_2E_40 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(316,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ( p @ Q )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ R )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) )
| ~ ( p @ Q )
| ( p @ R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(317,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ( ! [Y: $i] :
( ~ ( mem @ Y @ A )
| ( X != Y )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) ) )
& ! [Y: $i] :
( ~ ( mem @ Y @ A )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) )
| ( X = Y ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[228]) ).
thf(318,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Emin_2E_3D @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(319,plain,
( ( ! [A: $i,X: $i] :
( ~ ( mem @ X @ A )
| ( ( ap @ ( i @ A ) @ X )
= X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[230]) ).
thf(320,plain,
( ( ! [A: $i,Y: $i,X: $i] :
( ~ ( mem @ X @ A )
| ( ( ap @ ( k @ A @ Y ) @ X )
= Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(321,plain,
( ( ! [A: $i,B: $i,F: $i] :
( ~ ( mem @ F @ ( arr @ A @ B ) )
| ! [G: $i] :
( ~ ( mem @ G @ ( arr @ A @ B ) )
| ( ( mem @ ( sK5_X @ G @ F @ B @ A ) @ A )
& ( ( ap @ F @ ( sK5_X @ G @ F @ B @ A ) )
!= ( ap @ G @ ( sK5_X @ G @ F @ B @ A ) ) ) )
| ( F = G ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(322,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ Q )
| ~ ( p @ R )
| ( Q = R ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ( p @ Q )
| ( p @ R )
| ( Q = R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(323,plain,
( ( ! [A: $i,B: $i,F: $i] :
( ~ ( mem @ F @ ( arr @ A @ B ) )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ( mem @ ( ap @ F @ X ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[234]) ).
thf(324,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ! [B: $i] :
( ~ ( ne @ B )
| ( ne @ ( arr @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[235]) ).
thf(325,plain,
( ( ne @ bool )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(326,plain,
( ( ne @ ind )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(327,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ! [B: $i] :
( ~ ( ne @ B )
| ( ne @ ( arr @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(328,plain,
( ( ! [A: $i,B: $i,F: $i] :
( ~ ( mem @ F @ ( arr @ A @ B ) )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ( mem @ ( ap @ F @ X ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(329,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ Q )
| ~ ( p @ R )
| ( Q = R ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ( p @ Q )
| ( p @ R )
| ( Q = R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(330,plain,
( ( ! [A: $i,B: $i,F: $i] :
( ~ ( mem @ F @ ( arr @ A @ B ) )
| ! [G: $i] :
( ~ ( mem @ G @ ( arr @ A @ B ) )
| ( ( mem @ ( sK5_X @ G @ F @ B @ A ) @ A )
& ( ( ap @ F @ ( sK5_X @ G @ F @ B @ A ) )
!= ( ap @ G @ ( sK5_X @ G @ F @ B @ A ) ) ) )
| ( F = G ) ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(331,plain,
( ( ! [A: $i,Y: $i,X: $i] :
( ~ ( mem @ X @ A )
| ( ( ap @ ( k @ A @ Y ) @ X )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(332,plain,
( ( ! [A: $i,X: $i] :
( ~ ( mem @ X @ A )
| ( ( ap @ ( i @ A ) @ X )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(333,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Emin_2E_3D @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(334,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ( ! [Y: $i] :
( ~ ( mem @ Y @ A )
| ( X != Y )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) ) )
& ! [Y: $i] :
( ~ ( mem @ Y @ A )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) )
| ( X = Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(335,plain,
( ( mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(336,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ( p @ Q )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ R )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) )
| ~ ( p @ Q )
| ( p @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(337,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Emin_2E_40 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(338,plain,
( ( ! [A0: $i] :
( ~ ( ne @ A0 )
| ( ne @ ( ty_2Ebool_2Eitself @ A0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(339,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2E_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(340,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ( ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ( ( mem @ ( sK4_X @ Q @ A ) @ A )
& ~ ( p @ ( ap @ Q @ ( sK4_X @ Q @ A ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) ) )
& ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ( p @ ( ap @ Q @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(341,plain,
( ( mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(342,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ Q )
| ~ ( p @ R )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
| ( p @ Q ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
| ( p @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(343,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2E_3F @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(344,plain,
( ( ! [A: $i] :
( ~ ( ne @ A )
| ( ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ! [X: $i] :
( ~ ( mem @ X @ A )
| ~ ( p @ ( ap @ Q @ X ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) ) )
& ! [Q: $i] :
( ~ ( mem @ Q @ ( arr @ A @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) )
| ( ( mem @ ( sK3_X @ Q @ A ) @ A )
& ( p @ ( ap @ Q @ ( sK3_X @ Q @ A ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(345,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(346,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2EARB @ A_27a ) @ A_27a ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(347,plain,
( ( mem @ c_2Ebool_2EBOUNDED @ ( arr @ bool @ bool ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(348,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ECOND @ A_27a ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(349,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(350,plain,
( ( mem @ c_2Ebool_2EF @ bool )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(351,plain,
( ( ~ ( p @ c_2Ebool_2EF ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(352,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2EIN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(353,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(354,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(355,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2EONTO @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(356,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(357,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(358,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(359,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(360,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(361,plain,
( ( mem @ c_2Ebool_2ET @ bool )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(362,plain,
( ( p @ c_2Ebool_2ET )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(363,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(364,plain,
( ( mem @ c_2Ebool_2E_5C_2F @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(365,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) )
| ( p @ Q )
| ( p @ R ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ Q )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) ) )
& ! [R: $i] :
( ~ ( mem @ R @ bool )
| ~ ( p @ R )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(366,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2Eitself__case @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(367,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( mem @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(368,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(369,plain,
( ( mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(370,plain,
( ( ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) )
| ~ ( p @ Q ) )
& ! [Q: $i] :
( ~ ( mem @ Q @ bool )
| ( p @ Q )
| ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(371,plain,
$true = $true,
inference(copy,[status(thm)],[289]) ).
thf(372,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( ap @ ( f1 @ A_27a ) @ V0P )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0P ) @ ( k @ A_27a @ c_2Ebool_2ET ) ) ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(373,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2E_21 @ A_27a )
= ( f1 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(374,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( ap @ ( f2 @ A_27a ) @ V0P )
= ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(375,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2E_3F @ A_27a )
= ( f2 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(376,plain,
( ( ! [V1t2: $i] :
( ~ ( mem @ V1t2 @ bool )
| ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V2t: $i] :
( ( ap @ ( f3 @ V1t2 @ V0t1 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) ) @ V2t ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(377,plain,
( ( ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V1t2: $i] :
( ( ap @ ( f4 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ V1t2 @ V0t1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(378,plain,
( ( ! [V0t1: $i] :
( ( ap @ f5 @ V0t1 )
= ( f4 @ V0t1 ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(379,plain,
( ( c_2Ebool_2E_2F_5C = f5 )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(380,plain,
( ( ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V1t2: $i] :
( ~ ( mem @ V1t2 @ bool )
| ! [V2t: $i] :
( ( ap @ ( f6 @ V0t1 @ V1t2 ) @ V2t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ V2t ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) @ V2t ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(381,plain,
( ( ! [V0t1: $i] :
( ~ ( mem @ V0t1 @ bool )
| ! [V1t2: $i] :
( ( ap @ ( f7 @ V0t1 ) @ V1t2 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ V0t1 @ V1t2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(382,plain,
( ( ! [V0t1: $i] :
( ( ap @ f8 @ V0t1 )
= ( f7 @ V0t1 ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(383,plain,
( ( c_2Ebool_2E_5C_2F = f8 )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(384,plain,
( ( ( mem @ sK2_V0t @ bool )
& ~ ( p @ sK2_V0t ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(385,plain,
( ( ! [V0t: $i] :
( ( ap @ f9 @ V0t )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t ) @ c_2Ebool_2EF ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(386,plain,
( ( c_2Ebool_2E_7E = f9 )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(387,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1x: $i] :
( ~ ( mem @ V1x @ A_27a )
| ! [V2y: $i] :
( ( ap @ ( f10 @ A_27a @ V0P @ V1x ) @ V2y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ V0P @ V2y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(388,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1x: $i] :
( ( ap @ ( f11 @ A_27a @ V0P ) @ V1x )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f10 @ A_27a @ V0P @ V1x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(389,plain,
( ( ! [A_27a: $i,V0P: $i] :
( ( ap @ ( f12 @ A_27a ) @ V0P )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f11 @ A_27a @ V0P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(390,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2E_3F_21 @ A_27a )
= ( f12 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(391,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1x: $i] :
( ( ap @ ( f13 @ A_27b @ A_27a @ V0f ) @ V1x )
= ( ap @ V0f @ V1x ) ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(392,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( ap @ ( f14 @ A_27b @ A_27a ) @ V0f )
= ( f13 @ A_27b @ A_27a @ V0f ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(393,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2ELET @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(394,plain,
( ( ! [A_27a: $i,V1t1: $i] :
( ~ ( mem @ V1t1 @ A_27a )
| ! [V2t2: $i] :
( ~ ( mem @ V2t2 @ A_27a )
| ! [V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ! [V3x: $i] :
( ( ap @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) @ V3x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V1t1 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V2t2 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(395,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ! [V1t1: $i] :
( ~ ( mem @ V1t1 @ A_27a )
| ! [V2t2: $i] :
( ( ap @ ( f16 @ A_27a @ V0t @ V1t1 ) @ V2t2 )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f15 @ A_27a @ V1t1 @ V2t2 @ V0t ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(396,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ! [V1t1: $i] :
( ( ap @ ( f17 @ A_27a @ V0t ) @ V1t1 )
= ( f16 @ A_27a @ V0t @ V1t1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(397,plain,
( ( ! [A_27a: $i,V0t: $i] :
( ( ap @ ( f18 @ A_27a ) @ V0t )
= ( f17 @ A_27a @ V0t ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(398,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ECOND @ A_27a )
= ( f18 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(399,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1x1: $i] :
( ~ ( mem @ V1x1 @ A_27a )
| ! [V2x2: $i] :
( ( ap @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) @ V2x2 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V1x1 ) ) @ ( ap @ V0f @ V2x2 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x1 ) @ V2x2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(400,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1x1: $i] :
( ( ap @ ( f20 @ A_27b @ A_27a @ V0f ) @ V1x1 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f19 @ A_27b @ A_27a @ V0f @ V1x1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[271]) ).
thf(401,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ( ap @ ( f21 @ A_27b @ A_27a ) @ V0f )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f20 @ A_27b @ A_27a @ V0f ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(402,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b )
= ( f21 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(403,plain,
( ( ! [A_27b: $i,A_27a: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1y: $i] :
( ~ ( mem @ V1y @ A_27b )
| ! [V2x: $i] :
( ( ap @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) @ V2x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1y ) @ ( ap @ V0f @ V2x ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(404,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f: $i] :
( ~ ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
| ! [V1y: $i] :
( ( ap @ ( f23 @ A_27a @ A_27b @ V0f ) @ V1y )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f22 @ A_27b @ A_27a @ V0f @ V1y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(405,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f: $i] :
( ( ap @ ( f24 @ A_27a @ A_27b ) @ V0f )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f23 @ A_27a @ A_27b @ V0f ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(406,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2EONTO @ A_27a @ A_27b )
= ( f24 @ A_27a @ A_27b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(407,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V2x_27: $i] :
( ~ ( mem @ V2x_27 @ A_27b )
| ! [V3x_27_27: $i] :
( ( ap @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) @ V3x_27_27 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V1rep @ V2x_27 ) ) @ ( ap @ V1rep @ V3x_27_27 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V2x_27 ) @ V3x_27_27 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(408,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V2x_27: $i] :
( ( ap @ ( f26 @ A_27a @ A_27b @ V1rep ) @ V2x_27 )
= ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f25 @ A_27a @ A_27b @ V1rep @ V2x_27 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(409,plain,
( ( ! [A_27a: $i,A_27b: $i,V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V4x: $i] :
( ~ ( mem @ V4x @ A_27a )
| ! [V5x_27: $i] :
( ( ap @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) @ V5x_27 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ ( ap @ V1rep @ V5x_27 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(410,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1rep: $i] :
( ~ ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
| ! [V4x: $i] :
( ( ap @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) @ V4x )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V0P @ V4x ) ) @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ ( f27 @ A_27a @ A_27b @ V1rep @ V4x ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(411,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1rep: $i] :
( ( ap @ ( f29 @ A_27b @ A_27a @ V0P ) @ V1rep )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( f26 @ A_27a @ A_27b @ V1rep ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f28 @ A_27b @ A_27a @ V0P @ V1rep ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(412,plain,
( ( ! [A_27b: $i,A_27a: $i,V0P: $i] :
( ( ap @ ( f30 @ A_27b @ A_27a ) @ V0P )
= ( f29 @ A_27b @ A_27a @ V0P ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(413,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b )
= ( f30 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(414,plain,
( ( ! [V0t: $i] :
( ~ ( mem @ V0t @ bool )
| ( p @ V0t )
| ~ ( p @ V0t ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(415,plain,
( ( ! [A_27b: $i,A_27a: $i,V0t: $i] :
( ~ ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
| ! [V1x: $i] :
( ( ap @ ( f31 @ A_27b @ A_27a @ V0t ) @ V1x )
= ( ap @ V0t @ V1x ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(416,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ! [V0t: $i] :
( ~ ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
| ( ( f31 @ A_27b @ A_27a @ V0t )
= V0t ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(417,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [V0P: $i] :
( ~ ( mem @ V0P @ ( arr @ A_27a @ bool ) )
| ! [V1x: $i] :
( ~ ( mem @ V1x @ A_27a )
| ~ ( p @ ( ap @ V0P @ V1x ) )
| ( p @ ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(418,plain,
( ( ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
& ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) )
& ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(419,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ! [A_27b: $i] :
( ~ ( ne @ A_27b )
| ( ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
= ( f14 @ A_27b @ A_27a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(420,plain,
( ( ! [A_27a: $i,V0x: $i] :
( ~ ( mem @ V0x @ A_27a )
| ! [V1f: $i] :
( ( ap @ ( f32 @ A_27a @ V0x ) @ V1f )
= ( ap @ V1f @ V0x ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(421,plain,
( ( ! [A_27a: $i,V0x: $i] :
( ( ap @ ( f33 @ A_27a ) @ V0x )
= ( f32 @ A_27a @ V0x ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(422,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2EIN @ A_27a )
= ( f33 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(423,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V2x: $i] :
( ( ap @ ( f34 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(424,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f35 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( f34 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(425,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f36 @ A_27a ) @ V0p )
= ( f35 @ A_27a @ V0p ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(426,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__FORALL @ A_27a )
= ( f36 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(427,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V2x: $i] :
( ( ap @ ( f37 @ A_27a @ V0p @ V1m ) @ V2x )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(428,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f38 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(429,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f39 @ A_27a ) @ V0p )
= ( f38 @ A_27a @ V0p ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(430,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__EXISTS @ A_27a )
= ( f39 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(431,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V2x: $i] :
( ( ap @ ( f40 @ A_27a @ V1m ) @ V2x )
= ( ap @ V1m @ V2x ) ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(432,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V3x: $i] :
( ~ ( mem @ V3x @ A_27a )
| ! [V4y: $i] :
( ( ap @ ( f41 @ A_27a @ V1m @ V3x ) @ V4y )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V3x ) ) @ ( ap @ V1m @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(433,plain,
( ( ! [A_27a: $i,V1m: $i] :
( ~ ( mem @ V1m @ ( arr @ A_27a @ bool ) )
| ! [V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V3x: $i] :
( ( ap @ ( f42 @ A_27a @ V1m @ V0p ) @ V3x )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f41 @ A_27a @ V1m @ V3x ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(434,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f43 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p ) @ ( f40 @ A_27a @ V1m ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p ) @ ( f42 @ A_27a @ V1m @ V0p ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(435,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f44 @ A_27a ) @ V0p )
= ( f43 @ A_27a @ V0p ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(436,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a )
= ( f44 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(437,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ~ ( mem @ V0p @ ( arr @ A_27a @ bool ) )
| ! [V1m: $i] :
( ( ap @ ( f45 @ A_27a @ V0p ) @ V1m )
= ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ ( f37 @ A_27a @ V0p @ V1m ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(438,plain,
( ( ! [A_27a: $i,V0p: $i] :
( ( ap @ ( f46 @ A_27a ) @ V0p )
= ( f45 @ A_27a @ V0p ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(439,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2ERES__SELECT @ A_27a )
= ( f46 @ A_27a ) ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(440,plain,
( ( c_2Ebool_2EBOUNDED
= ( k @ bool @ c_2Ebool_2ET ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(441,plain,
( ( ! [A_27a: $i] :
( ~ ( ne @ A_27a )
| ( ( c_2Ebool_2EDATATYPE @ A_27a )
= ( k @ A_27a @ c_2Ebool_2ET ) ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(442,plain,
( ( ~ $true ) = $true ),
inference(copy,[status(thm)],[238]) ).
thf(443,plain,
( ( ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ( p @ SX0 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SX0 ) @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ SX1 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SX0 ) @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SX0 ) @ SX1 ) )
| ~ ( p @ SX0 )
| ( p @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(444,plain,
( ( ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ SX0 )
| ~ ( p @ SX1 )
| ( SX0 = SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ( p @ SX0 )
| ( p @ SX1 )
| ( SX0 = SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(445,plain,
( ( ~ ( ~ ~ ( ~ ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) ) )
| ~ ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(446,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) )
| ~ ( p @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ( p @ SX0 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(447,plain,
( ( ! [SX0: $i] :
( ~ ( ne @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ ( arr @ SX0 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( p @ ( ap @ SX1 @ ( sK4_X @ SX1 @ SX0 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SX0 ) @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ ( arr @ SX0 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SX0 ) @ SX1 ) )
| ! [SX2: $i] :
( ~ ( mem @ SX2 @ SX0 )
| ( p @ ( ap @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(448,plain,
( ( ~ ( ~ ( mem @ sK2_V0t @ bool )
| ~ ~ ( p @ sK2_V0t ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(449,plain,
( ( ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ SX0 )
| ~ ( p @ SX1 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SX0 ) @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SX0 ) @ SX1 ) )
| ( p @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SX0 ) @ SX1 ) )
| ( p @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(450,plain,
( ( ! [SX0: $i] :
( ~ ( ne @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ ( arr @ SX0 @ bool ) )
| ! [SX2: $i] :
( ~ ( mem @ SX2 @ SX0 )
| ~ ( p @ ( ap @ SX1 @ SX2 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SX0 ) @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ ( arr @ SX0 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SX0 ) @ SX1 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SX1 @ SX0 ) @ SX0 )
| ~ ( p @ ( ap @ SX1 @ ( sK3_X @ SX1 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(451,plain,
( ( ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SX0 ) @ SX1 ) )
| ( p @ SX0 )
| ( p @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ SX0 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SX0 ) @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( mem @ SX1 @ bool )
| ~ ( p @ SX1 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SX0 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(452,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( mem @ SX2 @ ( arr @ SX0 @ SX1 ) )
| ! [SX3: $i] :
( ~ ( mem @ SX3 @ ( arr @ SX0 @ SX1 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( ( ( ap @ SX2 @ ( sK5_X @ SX3 @ SX2 @ SX1 @ SX0 ) )
!= ( ap @ SX3 @ ( sK5_X @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(453,plain,
( ( ! [SX0: $i] :
( ~ ( ne @ SX0 )
| ! [SX1: $i] :
( ~ ( mem @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( mem @ SX2 @ SX0 )
| ( SX1 != SX2 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SX0 ) @ SX1 ) @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( mem @ SX2 @ SX0 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SX0 ) @ SX1 ) @ SX2 ) )
| ( SX1 = SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(454,plain,
! [SV1: $i] :
( ( ~ ( ne @ SV1 )
| ! [SY237: $i] :
( ~ ( ne @ SY237 )
| ( ne @ ( arr @ SV1 @ SY237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(455,plain,
! [SV2: $i] :
( ( ! [SY238: $i,SY239: $i] :
( ~ ( mem @ SY239 @ ( arr @ SV2 @ SY238 ) )
| ! [SY240: $i] :
( ~ ( mem @ SY240 @ SV2 )
| ( mem @ ( ap @ SY239 @ SY240 ) @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(456,plain,
! [SV3: $i] :
( ( ! [SY241: $i,SY242: $i] :
( ~ ( mem @ SY242 @ SV3 )
| ( ( ap @ ( k @ SV3 @ SY241 ) @ SY242 )
= SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(457,plain,
! [SV4: $i] :
( ( ! [SY243: $i] :
( ~ ( mem @ SY243 @ SV4 )
| ( ( ap @ ( i @ SV4 ) @ SY243 )
= SY243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(458,plain,
! [SV5: $i] :
( ( ~ ( ne @ SV5 )
| ( mem @ ( c_2Emin_2E_3D @ SV5 ) @ ( arr @ SV5 @ ( arr @ SV5 @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(459,plain,
! [SV6: $i] :
( ( ~ ( ne @ SV6 )
| ( mem @ ( c_2Emin_2E_40 @ SV6 ) @ ( arr @ ( arr @ SV6 @ bool ) @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(460,plain,
! [SV7: $i] :
( ( ~ ( ne @ SV7 )
| ( ne @ ( ty_2Ebool_2Eitself @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(461,plain,
! [SV8: $i] :
( ( ~ ( ne @ SV8 )
| ( mem @ ( c_2Ebool_2E_21 @ SV8 ) @ ( arr @ ( arr @ SV8 @ bool ) @ bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(462,plain,
! [SV9: $i] :
( ( ~ ( ne @ SV9 )
| ( mem @ ( c_2Ebool_2E_3F @ SV9 ) @ ( arr @ ( arr @ SV9 @ bool ) @ bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(463,plain,
! [SV10: $i] :
( ( ~ ( ne @ SV10 )
| ( mem @ ( c_2Ebool_2E_3F_21 @ SV10 ) @ ( arr @ ( arr @ SV10 @ bool ) @ bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(464,plain,
! [SV11: $i] :
( ( ~ ( ne @ SV11 )
| ( mem @ ( c_2Ebool_2EARB @ SV11 ) @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(465,plain,
! [SV12: $i] :
( ( ~ ( ne @ SV12 )
| ( mem @ ( c_2Ebool_2ECOND @ SV12 ) @ ( arr @ bool @ ( arr @ SV12 @ ( arr @ SV12 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(466,plain,
! [SV13: $i] :
( ( ~ ( ne @ SV13 )
| ( mem @ ( c_2Ebool_2EDATATYPE @ SV13 ) @ ( arr @ SV13 @ bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(467,plain,
( ( p @ c_2Ebool_2EF )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(468,plain,
! [SV14: $i] :
( ( ~ ( ne @ SV14 )
| ( mem @ ( c_2Ebool_2EIN @ SV14 ) @ ( arr @ SV14 @ ( arr @ ( arr @ SV14 @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(469,plain,
! [SV15: $i] :
( ( ~ ( ne @ SV15 )
| ! [SY244: $i] :
( ~ ( ne @ SY244 )
| ( mem @ ( c_2Ebool_2ELET @ SV15 @ SY244 ) @ ( arr @ ( arr @ SV15 @ SY244 ) @ ( arr @ SV15 @ SY244 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(470,plain,
! [SV16: $i] :
( ( ~ ( ne @ SV16 )
| ! [SY245: $i] :
( ~ ( ne @ SY245 )
| ( mem @ ( c_2Ebool_2EONE__ONE @ SV16 @ SY245 ) @ ( arr @ ( arr @ SV16 @ SY245 ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(471,plain,
! [SV17: $i] :
( ( ~ ( ne @ SV17 )
| ! [SY246: $i] :
( ~ ( ne @ SY246 )
| ( mem @ ( c_2Ebool_2EONTO @ SV17 @ SY246 ) @ ( arr @ ( arr @ SV17 @ SY246 ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(472,plain,
! [SV18: $i] :
( ( ~ ( ne @ SV18 )
| ! [SY247: $i] :
( ~ ( ne @ SY247 )
| ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ SV18 @ SY247 ) @ ( arr @ ( arr @ SV18 @ bool ) @ ( arr @ ( arr @ SV18 @ SY247 ) @ ( arr @ SV18 @ SY247 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(473,plain,
! [SV19: $i] :
( ( ~ ( ne @ SV19 )
| ( mem @ ( c_2Ebool_2ERES__EXISTS @ SV19 ) @ ( arr @ ( arr @ SV19 @ bool ) @ ( arr @ ( arr @ SV19 @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(474,plain,
! [SV20: $i] :
( ( ~ ( ne @ SV20 )
| ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ SV20 ) @ ( arr @ ( arr @ SV20 @ bool ) @ ( arr @ ( arr @ SV20 @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(475,plain,
! [SV21: $i] :
( ( ~ ( ne @ SV21 )
| ( mem @ ( c_2Ebool_2ERES__FORALL @ SV21 ) @ ( arr @ ( arr @ SV21 @ bool ) @ ( arr @ ( arr @ SV21 @ bool ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(476,plain,
! [SV22: $i] :
( ( ~ ( ne @ SV22 )
| ( mem @ ( c_2Ebool_2ERES__SELECT @ SV22 ) @ ( arr @ ( arr @ SV22 @ bool ) @ ( arr @ ( arr @ SV22 @ bool ) @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(477,plain,
! [SV23: $i] :
( ( ~ ( ne @ SV23 )
| ! [SY248: $i] :
( ~ ( ne @ SY248 )
| ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ SV23 @ SY248 ) @ ( arr @ ( arr @ SV23 @ bool ) @ ( arr @ ( arr @ SY248 @ SV23 ) @ bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(478,plain,
! [SV24: $i] :
( ( ~ ( ne @ SV24 )
| ! [SY249: $i] :
( ~ ( ne @ SY249 )
| ( mem @ ( c_2Ebool_2Eitself__case @ SV24 @ SY249 ) @ ( arr @ ( ty_2Ebool_2Eitself @ SV24 ) @ ( arr @ SY249 @ SY249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(479,plain,
! [SV25: $i] :
( ( ~ ( ne @ SV25 )
| ! [SY250: $i] :
( ~ ( ne @ SY250 )
| ( mem @ ( c_2Ebool_2Eliteral__case @ SV25 @ SY250 ) @ ( arr @ ( arr @ SV25 @ SY250 ) @ ( arr @ SV25 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(480,plain,
! [SV26: $i] :
( ( ~ ( ne @ SV26 )
| ( mem @ ( c_2Ebool_2Ethe__value @ SV26 ) @ ( ty_2Ebool_2Eitself @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(481,plain,
! [SV27: $i] :
( ( ! [SY251: $i] :
( ( ap @ ( f1 @ SV27 ) @ SY251 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ SV27 @ bool ) ) @ SY251 ) @ ( k @ SV27 @ c_2Ebool_2ET ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(482,plain,
! [SV28: $i] :
( ( ~ ( ne @ SV28 )
| ( ( c_2Ebool_2E_21 @ SV28 )
= ( f1 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(483,plain,
! [SV29: $i] :
( ( ! [SY252: $i] :
( ( ap @ ( f2 @ SV29 ) @ SY252 )
= ( ap @ SY252 @ ( ap @ ( c_2Emin_2E_40 @ SV29 ) @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(484,plain,
! [SV30: $i] :
( ( ~ ( ne @ SV30 )
| ( ( c_2Ebool_2E_3F @ SV30 )
= ( f2 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(485,plain,
! [SV31: $i] :
( ( ~ ( mem @ SV31 @ bool )
| ! [SY253: $i] :
( ~ ( mem @ SY253 @ bool )
| ! [SY254: $i] :
( ( ap @ ( f3 @ SV31 @ SY253 ) @ SY254 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SY253 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SY254 ) ) ) @ SY254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(486,plain,
! [SV32: $i] :
( ( ~ ( mem @ SV32 @ bool )
| ! [SY255: $i] :
( ( ap @ ( f4 @ SV32 ) @ SY255 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ SY255 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(487,plain,
! [SV33: $i] :
( ( ( ap @ f5 @ SV33 )
= ( f4 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(488,plain,
! [SV34: $i] :
( ( ~ ( mem @ SV34 @ bool )
| ! [SY256: $i] :
( ~ ( mem @ SY256 @ bool )
| ! [SY257: $i] :
( ( ap @ ( f6 @ SV34 @ SY256 ) @ SY257 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SY257 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SY256 ) @ SY257 ) ) @ SY257 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(489,plain,
! [SV35: $i] :
( ( ~ ( mem @ SV35 @ bool )
| ! [SY258: $i] :
( ( ap @ ( f7 @ SV35 ) @ SY258 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ SV35 @ SY258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(490,plain,
! [SV36: $i] :
( ( ( ap @ f8 @ SV36 )
= ( f7 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(491,plain,
! [SV37: $i] :
( ( ( ap @ f9 @ SV37 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV37 ) @ c_2Ebool_2EF ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(492,plain,
! [SV38: $i] :
( ( ! [SY259: $i] :
( ~ ( mem @ SY259 @ ( arr @ SV38 @ bool ) )
| ! [SY260: $i] :
( ~ ( mem @ SY260 @ SV38 )
| ! [SY261: $i] :
( ( ap @ ( f10 @ SV38 @ SY259 @ SY260 ) @ SY261 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SY259 @ SY260 ) ) @ ( ap @ SY259 @ SY261 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SY260 ) @ SY261 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(493,plain,
! [SV39: $i] :
( ( ! [SY262: $i] :
( ~ ( mem @ SY262 @ ( arr @ SV39 @ bool ) )
| ! [SY263: $i] :
( ( ap @ ( f11 @ SV39 @ SY262 ) @ SY263 )
= ( ap @ ( c_2Ebool_2E_21 @ SV39 ) @ ( f10 @ SV39 @ SY262 @ SY263 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(494,plain,
! [SV40: $i] :
( ( ! [SY264: $i] :
( ( ap @ ( f12 @ SV40 ) @ SY264 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_3F @ SV40 ) @ SY264 ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV40 ) @ ( f11 @ SV40 @ SY264 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(495,plain,
! [SV41: $i] :
( ( ~ ( ne @ SV41 )
| ( ( c_2Ebool_2E_3F_21 @ SV41 )
= ( f12 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(496,plain,
! [SV42: $i] :
( ( ! [SY265: $i,SY266: $i] :
( ~ ( mem @ SY266 @ ( arr @ SY265 @ SV42 ) )
| ! [SY267: $i] :
( ( ap @ ( f13 @ SV42 @ SY265 @ SY266 ) @ SY267 )
= ( ap @ SY266 @ SY267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(497,plain,
! [SV43: $i] :
( ( ! [SY268: $i,SY269: $i] :
( ( ap @ ( f14 @ SV43 @ SY268 ) @ SY269 )
= ( f13 @ SV43 @ SY268 @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(498,plain,
! [SV44: $i] :
( ( ~ ( ne @ SV44 )
| ! [SY270: $i] :
( ~ ( ne @ SY270 )
| ( ( c_2Ebool_2ELET @ SV44 @ SY270 )
= ( f14 @ SY270 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(499,plain,
! [SV45: $i] :
( ( ! [SY271: $i] :
( ~ ( mem @ SY271 @ SV45 )
| ! [SY272: $i] :
( ~ ( mem @ SY272 @ SV45 )
| ! [SY273: $i] :
( ~ ( mem @ SY273 @ bool )
| ! [SY274: $i] :
( ( ap @ ( f15 @ SV45 @ SY271 @ SY272 @ SY273 ) @ SY274 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY273 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY274 ) @ SY271 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY273 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY274 ) @ SY272 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(500,plain,
! [SV46: $i] :
( ( ! [SY275: $i] :
( ~ ( mem @ SY275 @ bool )
| ! [SY276: $i] :
( ~ ( mem @ SY276 @ SV46 )
| ! [SY277: $i] :
( ( ap @ ( f16 @ SV46 @ SY275 @ SY276 ) @ SY277 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SY276 @ SY277 @ SY275 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(501,plain,
! [SV47: $i] :
( ( ! [SY278: $i] :
( ~ ( mem @ SY278 @ bool )
| ! [SY279: $i] :
( ( ap @ ( f17 @ SV47 @ SY278 ) @ SY279 )
= ( f16 @ SV47 @ SY278 @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(502,plain,
! [SV48: $i] :
( ( ! [SY280: $i] :
( ( ap @ ( f18 @ SV48 ) @ SY280 )
= ( f17 @ SV48 @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(503,plain,
! [SV49: $i] :
( ( ~ ( ne @ SV49 )
| ( ( c_2Ebool_2ECOND @ SV49 )
= ( f18 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(504,plain,
! [SV50: $i] :
( ( ! [SY281: $i,SY282: $i] :
( ~ ( mem @ SY282 @ ( arr @ SY281 @ SV50 ) )
| ! [SY283: $i] :
( ~ ( mem @ SY283 @ SY281 )
| ! [SY284: $i] :
( ( ap @ ( f19 @ SV50 @ SY281 @ SY282 @ SY283 ) @ SY284 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SY282 @ SY283 ) ) @ ( ap @ SY282 @ SY284 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SY281 ) @ SY283 ) @ SY284 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(505,plain,
! [SV51: $i] :
( ( ! [SY285: $i,SY286: $i] :
( ~ ( mem @ SY286 @ ( arr @ SY285 @ SV51 ) )
| ! [SY287: $i] :
( ( ap @ ( f20 @ SV51 @ SY285 @ SY286 ) @ SY287 )
= ( ap @ ( c_2Ebool_2E_21 @ SY285 ) @ ( f19 @ SV51 @ SY285 @ SY286 @ SY287 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(506,plain,
! [SV52: $i] :
( ( ! [SY288: $i,SY289: $i] :
( ( ap @ ( f21 @ SV52 @ SY288 ) @ SY289 )
= ( ap @ ( c_2Ebool_2E_21 @ SY288 ) @ ( f20 @ SV52 @ SY288 @ SY289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(507,plain,
! [SV53: $i] :
( ( ~ ( ne @ SV53 )
| ! [SY290: $i] :
( ~ ( ne @ SY290 )
| ( ( c_2Ebool_2EONE__ONE @ SV53 @ SY290 )
= ( f21 @ SY290 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(508,plain,
! [SV54: $i] :
( ( ! [SY291: $i,SY292: $i] :
( ~ ( mem @ SY292 @ ( arr @ SY291 @ SV54 ) )
| ! [SY293: $i] :
( ~ ( mem @ SY293 @ SV54 )
| ! [SY294: $i] :
( ( ap @ ( f22 @ SV54 @ SY291 @ SY292 @ SY293 ) @ SY294 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SY293 ) @ ( ap @ SY292 @ SY294 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(509,plain,
! [SV55: $i] :
( ( ! [SY295: $i,SY296: $i] :
( ~ ( mem @ SY296 @ ( arr @ SV55 @ SY295 ) )
| ! [SY297: $i] :
( ( ap @ ( f23 @ SV55 @ SY295 @ SY296 ) @ SY297 )
= ( ap @ ( c_2Ebool_2E_3F @ SV55 ) @ ( f22 @ SY295 @ SV55 @ SY296 @ SY297 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(510,plain,
! [SV56: $i] :
( ( ! [SY298: $i,SY299: $i] :
( ( ap @ ( f24 @ SV56 @ SY298 ) @ SY299 )
= ( ap @ ( c_2Ebool_2E_21 @ SY298 ) @ ( f23 @ SV56 @ SY298 @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(511,plain,
! [SV57: $i] :
( ( ~ ( ne @ SV57 )
| ! [SY300: $i] :
( ~ ( ne @ SY300 )
| ( ( c_2Ebool_2EONTO @ SV57 @ SY300 )
= ( f24 @ SV57 @ SY300 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(512,plain,
! [SV58: $i] :
( ( ! [SY301: $i,SY302: $i] :
( ~ ( mem @ SY302 @ ( arr @ SY301 @ SV58 ) )
| ! [SY303: $i] :
( ~ ( mem @ SY303 @ SY301 )
| ! [SY304: $i] :
( ( ap @ ( f25 @ SV58 @ SY301 @ SY302 @ SY303 ) @ SY304 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SY302 @ SY303 ) ) @ ( ap @ SY302 @ SY304 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SY301 ) @ SY303 ) @ SY304 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(513,plain,
! [SV59: $i] :
( ( ! [SY305: $i,SY306: $i] :
( ~ ( mem @ SY306 @ ( arr @ SY305 @ SV59 ) )
| ! [SY307: $i] :
( ( ap @ ( f26 @ SV59 @ SY305 @ SY306 ) @ SY307 )
= ( ap @ ( c_2Ebool_2E_21 @ SY305 ) @ ( f25 @ SV59 @ SY305 @ SY306 @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(514,plain,
! [SV60: $i] :
( ( ! [SY308: $i,SY309: $i] :
( ~ ( mem @ SY309 @ ( arr @ SY308 @ SV60 ) )
| ! [SY310: $i] :
( ~ ( mem @ SY310 @ SV60 )
| ! [SY311: $i] :
( ( ap @ ( f27 @ SV60 @ SY308 @ SY309 @ SY310 ) @ SY311 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SY310 ) @ ( ap @ SY309 @ SY311 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(515,plain,
! [SV61: $i] :
( ( ! [SY312: $i,SY313: $i] :
( ~ ( mem @ SY313 @ ( arr @ SY312 @ bool ) )
| ! [SY314: $i] :
( ~ ( mem @ SY314 @ ( arr @ SV61 @ SY312 ) )
| ! [SY315: $i] :
( ( ap @ ( f28 @ SV61 @ SY312 @ SY313 @ SY314 ) @ SY315 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SY313 @ SY315 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SY312 @ SV61 @ SY314 @ SY315 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(516,plain,
! [SV62: $i] :
( ( ! [SY316: $i,SY317: $i] :
( ~ ( mem @ SY317 @ ( arr @ SY316 @ bool ) )
| ! [SY318: $i] :
( ( ap @ ( f29 @ SV62 @ SY316 @ SY317 ) @ SY318 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ SV62 ) @ ( f26 @ SY316 @ SV62 @ SY318 ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SY316 ) @ ( f28 @ SV62 @ SY316 @ SY317 @ SY318 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(517,plain,
! [SV63: $i] :
( ( ! [SY319: $i,SY320: $i] :
( ( ap @ ( f30 @ SV63 @ SY319 ) @ SY320 )
= ( f29 @ SV63 @ SY319 @ SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(518,plain,
! [SV64: $i] :
( ( ~ ( ne @ SV64 )
| ! [SY321: $i] :
( ~ ( ne @ SY321 )
| ( ( c_2Ebool_2ETYPE__DEFINITION @ SV64 @ SY321 )
= ( f30 @ SY321 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(519,plain,
! [SV65: $i] :
( ( ~ ( mem @ SV65 @ bool )
| ( p @ SV65 )
| ~ ( p @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(520,plain,
! [SV66: $i] :
( ( ! [SY322: $i,SY323: $i] :
( ~ ( mem @ SY323 @ ( arr @ SY322 @ SV66 ) )
| ! [SY324: $i] :
( ( ap @ ( f31 @ SV66 @ SY322 @ SY323 ) @ SY324 )
= ( ap @ SY323 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(521,plain,
! [SV67: $i] :
( ( ~ ( ne @ SV67 )
| ! [SY325: $i] :
( ~ ( ne @ SY325 )
| ! [SY326: $i] :
( ~ ( mem @ SY326 @ ( arr @ SV67 @ SY325 ) )
| ( ( f31 @ SY325 @ SV67 @ SY326 )
= SY326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(522,plain,
! [SV68: $i] :
( ( ~ ( ne @ SV68 )
| ! [SY327: $i] :
( ~ ( mem @ SY327 @ ( arr @ SV68 @ bool ) )
| ! [SY328: $i] :
( ~ ( mem @ SY328 @ SV68 )
| ~ ( p @ ( ap @ SY327 @ SY328 ) )
| ( p @ ( ap @ SY327 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SY327 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(523,plain,
! [SV69: $i] :
( ( ~ ( ne @ SV69 )
| ! [SY329: $i] :
( ~ ( ne @ SY329 )
| ( ( c_2Ebool_2Eliteral__case @ SV69 @ SY329 )
= ( f14 @ SY329 @ SV69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(524,plain,
! [SV70: $i] :
( ( ! [SY330: $i] :
( ~ ( mem @ SY330 @ SV70 )
| ! [SY331: $i] :
( ( ap @ ( f32 @ SV70 @ SY330 ) @ SY331 )
= ( ap @ SY331 @ SY330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(525,plain,
! [SV71: $i] :
( ( ! [SY332: $i] :
( ( ap @ ( f33 @ SV71 ) @ SY332 )
= ( f32 @ SV71 @ SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(526,plain,
! [SV72: $i] :
( ( ~ ( ne @ SV72 )
| ( ( c_2Ebool_2EIN @ SV72 )
= ( f33 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(527,plain,
! [SV73: $i] :
( ( ! [SY333: $i] :
( ~ ( mem @ SY333 @ ( arr @ SV73 @ bool ) )
| ! [SY334: $i] :
( ~ ( mem @ SY334 @ ( arr @ SV73 @ bool ) )
| ! [SY335: $i] :
( ( ap @ ( f34 @ SV73 @ SY333 @ SY334 ) @ SY335 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY335 ) @ SY333 ) ) @ ( ap @ SY334 @ SY335 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(528,plain,
! [SV74: $i] :
( ( ! [SY336: $i] :
( ~ ( mem @ SY336 @ ( arr @ SV74 @ bool ) )
| ! [SY337: $i] :
( ( ap @ ( f35 @ SV74 @ SY336 ) @ SY337 )
= ( ap @ ( c_2Ebool_2E_21 @ SV74 ) @ ( f34 @ SV74 @ SY336 @ SY337 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(529,plain,
! [SV75: $i] :
( ( ! [SY338: $i] :
( ( ap @ ( f36 @ SV75 ) @ SY338 )
= ( f35 @ SV75 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(530,plain,
! [SV76: $i] :
( ( ~ ( ne @ SV76 )
| ( ( c_2Ebool_2ERES__FORALL @ SV76 )
= ( f36 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(531,plain,
! [SV77: $i] :
( ( ! [SY339: $i] :
( ~ ( mem @ SY339 @ ( arr @ SV77 @ bool ) )
| ! [SY340: $i] :
( ~ ( mem @ SY340 @ ( arr @ SV77 @ bool ) )
| ! [SY341: $i] :
( ( ap @ ( f37 @ SV77 @ SY339 @ SY340 ) @ SY341 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY341 ) @ SY339 ) ) @ ( ap @ SY340 @ SY341 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(532,plain,
! [SV78: $i] :
( ( ! [SY342: $i] :
( ~ ( mem @ SY342 @ ( arr @ SV78 @ bool ) )
| ! [SY343: $i] :
( ( ap @ ( f38 @ SV78 @ SY342 ) @ SY343 )
= ( ap @ ( c_2Ebool_2E_3F @ SV78 ) @ ( f37 @ SV78 @ SY342 @ SY343 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(533,plain,
! [SV79: $i] :
( ( ! [SY344: $i] :
( ( ap @ ( f39 @ SV79 ) @ SY344 )
= ( f38 @ SV79 @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(534,plain,
! [SV80: $i] :
( ( ~ ( ne @ SV80 )
| ( ( c_2Ebool_2ERES__EXISTS @ SV80 )
= ( f39 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(535,plain,
! [SV81: $i] :
( ( ! [SY345: $i] :
( ~ ( mem @ SY345 @ ( arr @ SV81 @ bool ) )
| ! [SY346: $i] :
( ( ap @ ( f40 @ SV81 @ SY345 ) @ SY346 )
= ( ap @ SY345 @ SY346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(536,plain,
! [SV82: $i] :
( ( ! [SY347: $i] :
( ~ ( mem @ SY347 @ ( arr @ SV82 @ bool ) )
| ! [SY348: $i] :
( ~ ( mem @ SY348 @ SV82 )
| ! [SY349: $i] :
( ( ap @ ( f41 @ SV82 @ SY347 @ SY348 ) @ SY349 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SY347 @ SY348 ) ) @ ( ap @ SY347 @ SY349 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SY348 ) @ SY349 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(537,plain,
! [SV83: $i] :
( ( ! [SY350: $i] :
( ~ ( mem @ SY350 @ ( arr @ SV83 @ bool ) )
| ! [SY351: $i] :
( ~ ( mem @ SY351 @ ( arr @ SV83 @ bool ) )
| ! [SY352: $i] :
( ( ap @ ( f42 @ SV83 @ SY350 @ SY351 ) @ SY352 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SY351 ) @ ( f41 @ SV83 @ SY350 @ SY352 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(538,plain,
! [SV84: $i] :
( ( ! [SY353: $i] :
( ~ ( mem @ SY353 @ ( arr @ SV84 @ bool ) )
| ! [SY354: $i] :
( ( ap @ ( f43 @ SV84 @ SY353 ) @ SY354 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ SV84 ) @ SY353 ) @ ( f40 @ SV84 @ SY354 ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV84 ) @ SY353 ) @ ( f42 @ SV84 @ SY354 @ SY353 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(539,plain,
! [SV85: $i] :
( ( ! [SY355: $i] :
( ( ap @ ( f44 @ SV85 ) @ SY355 )
= ( f43 @ SV85 @ SY355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(540,plain,
! [SV86: $i] :
( ( ~ ( ne @ SV86 )
| ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ SV86 )
= ( f44 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(541,plain,
! [SV87: $i] :
( ( ! [SY356: $i] :
( ~ ( mem @ SY356 @ ( arr @ SV87 @ bool ) )
| ! [SY357: $i] :
( ( ap @ ( f45 @ SV87 @ SY356 ) @ SY357 )
= ( ap @ ( c_2Emin_2E_40 @ SV87 ) @ ( f37 @ SV87 @ SY356 @ SY357 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(542,plain,
! [SV88: $i] :
( ( ! [SY358: $i] :
( ( ap @ ( f46 @ SV88 ) @ SY358 )
= ( f45 @ SV88 @ SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(543,plain,
! [SV89: $i] :
( ( ~ ( ne @ SV89 )
| ( ( c_2Ebool_2ERES__SELECT @ SV89 )
= ( f46 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(544,plain,
! [SV90: $i] :
( ( ~ ( ne @ SV90 )
| ( ( c_2Ebool_2EDATATYPE @ SV90 )
= ( k @ SV90 @ c_2Ebool_2ET ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(545,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(546,plain,
! [SV91: $i] :
( ( ~ ( mem @ SV91 @ bool )
| ~ ( ~ ~ ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
| ~ ! [SY361: $i] :
( ~ ( mem @ SY361 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY361 ) )
| ~ ( p @ SV91 )
| ( p @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(547,plain,
! [SV92: $i] :
( ( ~ ( mem @ SV92 @ bool )
| ~ ( ~ ! [SY362: $i] :
( ~ ( mem @ SY362 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SY362 )
| ( SV92 = SY362 ) )
| ~ ! [SY363: $i] :
( ~ ( mem @ SY363 @ bool )
| ( p @ SV92 )
| ( p @ SY363 )
| ( SV92 = SY363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(548,plain,
( ( ~ ~ ( ~ ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) ) )
| ~ ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(549,plain,
( ( ~ ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) )
| ~ ( p @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ( p @ SX0 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(550,plain,
! [SV93: $i] :
( ( ~ ( ne @ SV93 )
| ~ ( ~ ! [SY364: $i] :
( ~ ( mem @ SY364 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SY364 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SY364 @ ( sK4_X @ SY364 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY364 ) ) )
| ~ ! [SY365: $i] :
( ~ ( mem @ SY365 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY365 ) )
| ! [SY366: $i] :
( ~ ( mem @ SY366 @ SV93 )
| ( p @ ( ap @ SY365 @ SY366 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(551,plain,
( ( ~ ( mem @ sK2_V0t @ bool )
| ~ ~ ( p @ sK2_V0t ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(552,plain,
! [SV94: $i] :
( ( ~ ( mem @ SV94 @ bool )
| ~ ( ~ ! [SY367: $i] :
( ~ ( mem @ SY367 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SY367 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY367 ) ) )
| ~ ~ ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(553,plain,
! [SV95: $i] :
( ( ~ ( ne @ SV95 )
| ~ ( ~ ! [SY370: $i] :
( ~ ( mem @ SY370 @ ( arr @ SV95 @ bool ) )
| ! [SY371: $i] :
( ~ ( mem @ SY371 @ SV95 )
| ~ ( p @ ( ap @ SY370 @ SY371 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY370 ) ) )
| ~ ! [SY372: $i] :
( ~ ( mem @ SY372 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY372 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SY372 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SY372 @ ( sK3_X @ SY372 @ SV95 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(554,plain,
! [SV96: $i] :
( ( ~ ( mem @ SV96 @ bool )
| ~ ( ~ ! [SY373: $i] :
( ~ ( mem @ SY373 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY373 ) )
| ( p @ SV96 )
| ( p @ SY373 ) )
| ~ ~ ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(555,plain,
! [SV97: $i] :
( ( ! [SY376: $i,SY377: $i] :
( ~ ( mem @ SY377 @ ( arr @ SV97 @ SY376 ) )
| ! [SY378: $i] :
( ~ ( mem @ SY378 @ ( arr @ SV97 @ SY376 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SY378 @ SY377 @ SY376 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SY377 @ ( sK5_X @ SY378 @ SY377 @ SY376 @ SV97 ) )
!= ( ap @ SY378 @ ( sK5_X @ SY378 @ SY377 @ SY376 @ SV97 ) ) ) ) )
| ( SY377 = SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(556,plain,
! [SV98: $i] :
( ( ~ ( ne @ SV98 )
| ! [SY379: $i] :
( ~ ( mem @ SY379 @ SV98 )
| ~ ( ~ ! [SY380: $i] :
( ~ ( mem @ SY380 @ SV98 )
| ( SY379 != SY380 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SY379 ) @ SY380 ) ) )
| ~ ! [SY381: $i] :
( ~ ( mem @ SY381 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SY379 ) @ SY381 ) )
| ( SY379 = SY381 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(557,plain,
! [SV1: $i] :
( ( ( ~ ( ne @ SV1 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( ne @ SY237 )
| ( ne @ ( arr @ SV1 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(558,plain,
! [SV99: $i,SV2: $i] :
( ( ! [SY382: $i] :
( ~ ( mem @ SY382 @ ( arr @ SV2 @ SV99 ) )
| ! [SY383: $i] :
( ~ ( mem @ SY383 @ SV2 )
| ( mem @ ( ap @ SY382 @ SY383 ) @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(559,plain,
! [SV100: $i,SV3: $i] :
( ( ! [SY384: $i] :
( ~ ( mem @ SY384 @ SV3 )
| ( ( ap @ ( k @ SV3 @ SV100 ) @ SY384 )
= SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(560,plain,
! [SV4: $i,SV101: $i] :
( ( ~ ( mem @ SV101 @ SV4 )
| ( ( ap @ ( i @ SV4 ) @ SV101 )
= SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(561,plain,
! [SV5: $i] :
( ( ( ~ ( ne @ SV5 ) )
= $true )
| ( ( mem @ ( c_2Emin_2E_3D @ SV5 ) @ ( arr @ SV5 @ ( arr @ SV5 @ bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(562,plain,
! [SV6: $i] :
( ( ( ~ ( ne @ SV6 ) )
= $true )
| ( ( mem @ ( c_2Emin_2E_40 @ SV6 ) @ ( arr @ ( arr @ SV6 @ bool ) @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(563,plain,
! [SV7: $i] :
( ( ( ~ ( ne @ SV7 ) )
= $true )
| ( ( ne @ ( ty_2Ebool_2Eitself @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(564,plain,
! [SV8: $i] :
( ( ( ~ ( ne @ SV8 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2E_21 @ SV8 ) @ ( arr @ ( arr @ SV8 @ bool ) @ bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(565,plain,
! [SV9: $i] :
( ( ( ~ ( ne @ SV9 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2E_3F @ SV9 ) @ ( arr @ ( arr @ SV9 @ bool ) @ bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(566,plain,
! [SV10: $i] :
( ( ( ~ ( ne @ SV10 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2E_3F_21 @ SV10 ) @ ( arr @ ( arr @ SV10 @ bool ) @ bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(567,plain,
! [SV11: $i] :
( ( ( ~ ( ne @ SV11 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2EARB @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(568,plain,
! [SV12: $i] :
( ( ( ~ ( ne @ SV12 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ECOND @ SV12 ) @ ( arr @ bool @ ( arr @ SV12 @ ( arr @ SV12 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(569,plain,
! [SV13: $i] :
( ( ( ~ ( ne @ SV13 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2EDATATYPE @ SV13 ) @ ( arr @ SV13 @ bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(570,plain,
! [SV14: $i] :
( ( ( ~ ( ne @ SV14 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2EIN @ SV14 ) @ ( arr @ SV14 @ ( arr @ ( arr @ SV14 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(571,plain,
! [SV15: $i] :
( ( ( ~ ( ne @ SV15 ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( ne @ SY244 )
| ( mem @ ( c_2Ebool_2ELET @ SV15 @ SY244 ) @ ( arr @ ( arr @ SV15 @ SY244 ) @ ( arr @ SV15 @ SY244 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(572,plain,
! [SV16: $i] :
( ( ( ~ ( ne @ SV16 ) )
= $true )
| ( ( ! [SY245: $i] :
( ~ ( ne @ SY245 )
| ( mem @ ( c_2Ebool_2EONE__ONE @ SV16 @ SY245 ) @ ( arr @ ( arr @ SV16 @ SY245 ) @ bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(573,plain,
! [SV17: $i] :
( ( ( ~ ( ne @ SV17 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( ne @ SY246 )
| ( mem @ ( c_2Ebool_2EONTO @ SV17 @ SY246 ) @ ( arr @ ( arr @ SV17 @ SY246 ) @ bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(574,plain,
! [SV18: $i] :
( ( ( ~ ( ne @ SV18 ) )
= $true )
| ( ( ! [SY247: $i] :
( ~ ( ne @ SY247 )
| ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ SV18 @ SY247 ) @ ( arr @ ( arr @ SV18 @ bool ) @ ( arr @ ( arr @ SV18 @ SY247 ) @ ( arr @ SV18 @ SY247 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(575,plain,
! [SV19: $i] :
( ( ( ~ ( ne @ SV19 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ERES__EXISTS @ SV19 ) @ ( arr @ ( arr @ SV19 @ bool ) @ ( arr @ ( arr @ SV19 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(576,plain,
! [SV20: $i] :
( ( ( ~ ( ne @ SV20 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ SV20 ) @ ( arr @ ( arr @ SV20 @ bool ) @ ( arr @ ( arr @ SV20 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(577,plain,
! [SV21: $i] :
( ( ( ~ ( ne @ SV21 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ERES__FORALL @ SV21 ) @ ( arr @ ( arr @ SV21 @ bool ) @ ( arr @ ( arr @ SV21 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(578,plain,
! [SV22: $i] :
( ( ( ~ ( ne @ SV22 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ERES__SELECT @ SV22 ) @ ( arr @ ( arr @ SV22 @ bool ) @ ( arr @ ( arr @ SV22 @ bool ) @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(579,plain,
! [SV23: $i] :
( ( ( ~ ( ne @ SV23 ) )
= $true )
| ( ( ! [SY248: $i] :
( ~ ( ne @ SY248 )
| ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ SV23 @ SY248 ) @ ( arr @ ( arr @ SV23 @ bool ) @ ( arr @ ( arr @ SY248 @ SV23 ) @ bool ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(580,plain,
! [SV24: $i] :
( ( ( ~ ( ne @ SV24 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( ne @ SY249 )
| ( mem @ ( c_2Ebool_2Eitself__case @ SV24 @ SY249 ) @ ( arr @ ( ty_2Ebool_2Eitself @ SV24 ) @ ( arr @ SY249 @ SY249 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(581,plain,
! [SV25: $i] :
( ( ( ~ ( ne @ SV25 ) )
= $true )
| ( ( ! [SY250: $i] :
( ~ ( ne @ SY250 )
| ( mem @ ( c_2Ebool_2Eliteral__case @ SV25 @ SY250 ) @ ( arr @ ( arr @ SV25 @ SY250 ) @ ( arr @ SV25 @ SY250 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(582,plain,
! [SV26: $i] :
( ( ( ~ ( ne @ SV26 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2Ethe__value @ SV26 ) @ ( ty_2Ebool_2Eitself @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(583,plain,
! [SV102: $i,SV27: $i] :
( ( ( ap @ ( f1 @ SV27 ) @ SV102 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ SV27 @ bool ) ) @ SV102 ) @ ( k @ SV27 @ c_2Ebool_2ET ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(584,plain,
! [SV28: $i] :
( ( ( ~ ( ne @ SV28 ) )
= $true )
| ( ( ( c_2Ebool_2E_21 @ SV28 )
= ( f1 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(585,plain,
! [SV103: $i,SV29: $i] :
( ( ( ap @ ( f2 @ SV29 ) @ SV103 )
= ( ap @ SV103 @ ( ap @ ( c_2Emin_2E_40 @ SV29 ) @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(586,plain,
! [SV30: $i] :
( ( ( ~ ( ne @ SV30 ) )
= $true )
| ( ( ( c_2Ebool_2E_3F @ SV30 )
= ( f2 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(587,plain,
! [SV31: $i] :
( ( ( ~ ( mem @ SV31 @ bool ) )
= $true )
| ( ( ! [SY253: $i] :
( ~ ( mem @ SY253 @ bool )
| ! [SY254: $i] :
( ( ap @ ( f3 @ SV31 @ SY253 ) @ SY254 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SY253 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SY254 ) ) ) @ SY254 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(588,plain,
! [SV32: $i] :
( ( ( ~ ( mem @ SV32 @ bool ) )
= $true )
| ( ( ! [SY255: $i] :
( ( ap @ ( f4 @ SV32 ) @ SY255 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ SY255 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(589,plain,
! [SV34: $i] :
( ( ( ~ ( mem @ SV34 @ bool ) )
= $true )
| ( ( ! [SY256: $i] :
( ~ ( mem @ SY256 @ bool )
| ! [SY257: $i] :
( ( ap @ ( f6 @ SV34 @ SY256 ) @ SY257 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SY257 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SY256 ) @ SY257 ) ) @ SY257 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(590,plain,
! [SV35: $i] :
( ( ( ~ ( mem @ SV35 @ bool ) )
= $true )
| ( ( ! [SY258: $i] :
( ( ap @ ( f7 @ SV35 ) @ SY258 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ SV35 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(591,plain,
! [SV38: $i,SV104: $i] :
( ( ~ ( mem @ SV104 @ ( arr @ SV38 @ bool ) )
| ! [SY385: $i] :
( ~ ( mem @ SY385 @ SV38 )
| ! [SY386: $i] :
( ( ap @ ( f10 @ SV38 @ SV104 @ SY385 ) @ SY386 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SY385 ) ) @ ( ap @ SV104 @ SY386 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SY385 ) @ SY386 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(592,plain,
! [SV39: $i,SV105: $i] :
( ( ~ ( mem @ SV105 @ ( arr @ SV39 @ bool ) )
| ! [SY387: $i] :
( ( ap @ ( f11 @ SV39 @ SV105 ) @ SY387 )
= ( ap @ ( c_2Ebool_2E_21 @ SV39 ) @ ( f10 @ SV39 @ SV105 @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(593,plain,
! [SV106: $i,SV40: $i] :
( ( ( ap @ ( f12 @ SV40 ) @ SV106 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_3F @ SV40 ) @ SV106 ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV40 ) @ ( f11 @ SV40 @ SV106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(594,plain,
! [SV41: $i] :
( ( ( ~ ( ne @ SV41 ) )
= $true )
| ( ( ( c_2Ebool_2E_3F_21 @ SV41 )
= ( f12 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(595,plain,
! [SV42: $i,SV107: $i] :
( ( ! [SY388: $i] :
( ~ ( mem @ SY388 @ ( arr @ SV107 @ SV42 ) )
| ! [SY389: $i] :
( ( ap @ ( f13 @ SV42 @ SV107 @ SY388 ) @ SY389 )
= ( ap @ SY388 @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(596,plain,
! [SV108: $i,SV43: $i] :
( ( ! [SY390: $i] :
( ( ap @ ( f14 @ SV43 @ SV108 ) @ SY390 )
= ( f13 @ SV43 @ SV108 @ SY390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(597,plain,
! [SV44: $i] :
( ( ( ~ ( ne @ SV44 ) )
= $true )
| ( ( ! [SY270: $i] :
( ~ ( ne @ SY270 )
| ( ( c_2Ebool_2ELET @ SV44 @ SY270 )
= ( f14 @ SY270 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(598,plain,
! [SV45: $i,SV109: $i] :
( ( ~ ( mem @ SV109 @ SV45 )
| ! [SY391: $i] :
( ~ ( mem @ SY391 @ SV45 )
| ! [SY392: $i] :
( ~ ( mem @ SY392 @ bool )
| ! [SY393: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SY391 @ SY392 ) @ SY393 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY392 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY393 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY392 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY393 ) @ SY391 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(599,plain,
! [SV46: $i,SV110: $i] :
( ( ~ ( mem @ SV110 @ bool )
| ! [SY394: $i] :
( ~ ( mem @ SY394 @ SV46 )
| ! [SY395: $i] :
( ( ap @ ( f16 @ SV46 @ SV110 @ SY394 ) @ SY395 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SY394 @ SY395 @ SV110 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(600,plain,
! [SV47: $i,SV111: $i] :
( ( ~ ( mem @ SV111 @ bool )
| ! [SY396: $i] :
( ( ap @ ( f17 @ SV47 @ SV111 ) @ SY396 )
= ( f16 @ SV47 @ SV111 @ SY396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(601,plain,
! [SV112: $i,SV48: $i] :
( ( ( ap @ ( f18 @ SV48 ) @ SV112 )
= ( f17 @ SV48 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(602,plain,
! [SV49: $i] :
( ( ( ~ ( ne @ SV49 ) )
= $true )
| ( ( ( c_2Ebool_2ECOND @ SV49 )
= ( f18 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(603,plain,
! [SV50: $i,SV113: $i] :
( ( ! [SY397: $i] :
( ~ ( mem @ SY397 @ ( arr @ SV113 @ SV50 ) )
| ! [SY398: $i] :
( ~ ( mem @ SY398 @ SV113 )
| ! [SY399: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SY397 @ SY398 ) @ SY399 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SY397 @ SY398 ) ) @ ( ap @ SY397 @ SY399 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SY398 ) @ SY399 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(604,plain,
! [SV51: $i,SV114: $i] :
( ( ! [SY400: $i] :
( ~ ( mem @ SY400 @ ( arr @ SV114 @ SV51 ) )
| ! [SY401: $i] :
( ( ap @ ( f20 @ SV51 @ SV114 @ SY400 ) @ SY401 )
= ( ap @ ( c_2Ebool_2E_21 @ SV114 ) @ ( f19 @ SV51 @ SV114 @ SY400 @ SY401 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(605,plain,
! [SV115: $i,SV52: $i] :
( ( ! [SY402: $i] :
( ( ap @ ( f21 @ SV52 @ SV115 ) @ SY402 )
= ( ap @ ( c_2Ebool_2E_21 @ SV115 ) @ ( f20 @ SV52 @ SV115 @ SY402 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(606,plain,
! [SV53: $i] :
( ( ( ~ ( ne @ SV53 ) )
= $true )
| ( ( ! [SY290: $i] :
( ~ ( ne @ SY290 )
| ( ( c_2Ebool_2EONE__ONE @ SV53 @ SY290 )
= ( f21 @ SY290 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(607,plain,
! [SV54: $i,SV116: $i] :
( ( ! [SY403: $i] :
( ~ ( mem @ SY403 @ ( arr @ SV116 @ SV54 ) )
| ! [SY404: $i] :
( ~ ( mem @ SY404 @ SV54 )
| ! [SY405: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SY403 @ SY404 ) @ SY405 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SY404 ) @ ( ap @ SY403 @ SY405 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(608,plain,
! [SV117: $i,SV55: $i] :
( ( ! [SY406: $i] :
( ~ ( mem @ SY406 @ ( arr @ SV55 @ SV117 ) )
| ! [SY407: $i] :
( ( ap @ ( f23 @ SV55 @ SV117 @ SY406 ) @ SY407 )
= ( ap @ ( c_2Ebool_2E_3F @ SV55 ) @ ( f22 @ SV117 @ SV55 @ SY406 @ SY407 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(609,plain,
! [SV118: $i,SV56: $i] :
( ( ! [SY408: $i] :
( ( ap @ ( f24 @ SV56 @ SV118 ) @ SY408 )
= ( ap @ ( c_2Ebool_2E_21 @ SV118 ) @ ( f23 @ SV56 @ SV118 @ SY408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(610,plain,
! [SV57: $i] :
( ( ( ~ ( ne @ SV57 ) )
= $true )
| ( ( ! [SY300: $i] :
( ~ ( ne @ SY300 )
| ( ( c_2Ebool_2EONTO @ SV57 @ SY300 )
= ( f24 @ SV57 @ SY300 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(611,plain,
! [SV58: $i,SV119: $i] :
( ( ! [SY409: $i] :
( ~ ( mem @ SY409 @ ( arr @ SV119 @ SV58 ) )
| ! [SY410: $i] :
( ~ ( mem @ SY410 @ SV119 )
| ! [SY411: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SY409 @ SY410 ) @ SY411 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SY409 @ SY410 ) ) @ ( ap @ SY409 @ SY411 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SY410 ) @ SY411 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(612,plain,
! [SV59: $i,SV120: $i] :
( ( ! [SY412: $i] :
( ~ ( mem @ SY412 @ ( arr @ SV120 @ SV59 ) )
| ! [SY413: $i] :
( ( ap @ ( f26 @ SV59 @ SV120 @ SY412 ) @ SY413 )
= ( ap @ ( c_2Ebool_2E_21 @ SV120 ) @ ( f25 @ SV59 @ SV120 @ SY412 @ SY413 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(613,plain,
! [SV60: $i,SV121: $i] :
( ( ! [SY414: $i] :
( ~ ( mem @ SY414 @ ( arr @ SV121 @ SV60 ) )
| ! [SY415: $i] :
( ~ ( mem @ SY415 @ SV60 )
| ! [SY416: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SY414 @ SY415 ) @ SY416 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SY415 ) @ ( ap @ SY414 @ SY416 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(614,plain,
! [SV61: $i,SV122: $i] :
( ( ! [SY417: $i] :
( ~ ( mem @ SY417 @ ( arr @ SV122 @ bool ) )
| ! [SY418: $i] :
( ~ ( mem @ SY418 @ ( arr @ SV61 @ SV122 ) )
| ! [SY419: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SY417 @ SY418 ) @ SY419 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SY417 @ SY419 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SY418 @ SY419 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(615,plain,
! [SV62: $i,SV123: $i] :
( ( ! [SY420: $i] :
( ~ ( mem @ SY420 @ ( arr @ SV123 @ bool ) )
| ! [SY421: $i] :
( ( ap @ ( f29 @ SV62 @ SV123 @ SY420 ) @ SY421 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ SV62 ) @ ( f26 @ SV123 @ SV62 @ SY421 ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV123 ) @ ( f28 @ SV62 @ SV123 @ SY420 @ SY421 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(616,plain,
! [SV124: $i,SV63: $i] :
( ( ! [SY422: $i] :
( ( ap @ ( f30 @ SV63 @ SV124 ) @ SY422 )
= ( f29 @ SV63 @ SV124 @ SY422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(617,plain,
! [SV64: $i] :
( ( ( ~ ( ne @ SV64 ) )
= $true )
| ( ( ! [SY321: $i] :
( ~ ( ne @ SY321 )
| ( ( c_2Ebool_2ETYPE__DEFINITION @ SV64 @ SY321 )
= ( f30 @ SY321 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(618,plain,
! [SV65: $i] :
( ( ( ~ ( mem @ SV65 @ bool ) )
= $true )
| ( ( ( p @ SV65 )
| ~ ( p @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(619,plain,
! [SV66: $i,SV125: $i] :
( ( ! [SY423: $i] :
( ~ ( mem @ SY423 @ ( arr @ SV125 @ SV66 ) )
| ! [SY424: $i] :
( ( ap @ ( f31 @ SV66 @ SV125 @ SY423 ) @ SY424 )
= ( ap @ SY423 @ SY424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(620,plain,
! [SV67: $i] :
( ( ( ~ ( ne @ SV67 ) )
= $true )
| ( ( ! [SY325: $i] :
( ~ ( ne @ SY325 )
| ! [SY326: $i] :
( ~ ( mem @ SY326 @ ( arr @ SV67 @ SY325 ) )
| ( ( f31 @ SY325 @ SV67 @ SY326 )
= SY326 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(621,plain,
! [SV68: $i] :
( ( ( ~ ( ne @ SV68 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( mem @ SY327 @ ( arr @ SV68 @ bool ) )
| ! [SY328: $i] :
( ~ ( mem @ SY328 @ SV68 )
| ~ ( p @ ( ap @ SY327 @ SY328 ) )
| ( p @ ( ap @ SY327 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SY327 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(622,plain,
! [SV69: $i] :
( ( ( ~ ( ne @ SV69 ) )
= $true )
| ( ( ! [SY329: $i] :
( ~ ( ne @ SY329 )
| ( ( c_2Ebool_2Eliteral__case @ SV69 @ SY329 )
= ( f14 @ SY329 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(623,plain,
! [SV70: $i,SV126: $i] :
( ( ~ ( mem @ SV126 @ SV70 )
| ! [SY425: $i] :
( ( ap @ ( f32 @ SV70 @ SV126 ) @ SY425 )
= ( ap @ SY425 @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(624,plain,
! [SV127: $i,SV71: $i] :
( ( ( ap @ ( f33 @ SV71 ) @ SV127 )
= ( f32 @ SV71 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(625,plain,
! [SV72: $i] :
( ( ( ~ ( ne @ SV72 ) )
= $true )
| ( ( ( c_2Ebool_2EIN @ SV72 )
= ( f33 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(626,plain,
! [SV73: $i,SV128: $i] :
( ( ~ ( mem @ SV128 @ ( arr @ SV73 @ bool ) )
| ! [SY426: $i] :
( ~ ( mem @ SY426 @ ( arr @ SV73 @ bool ) )
| ! [SY427: $i] :
( ( ap @ ( f34 @ SV73 @ SV128 @ SY426 ) @ SY427 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY427 ) @ SV128 ) ) @ ( ap @ SY426 @ SY427 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(627,plain,
! [SV74: $i,SV129: $i] :
( ( ~ ( mem @ SV129 @ ( arr @ SV74 @ bool ) )
| ! [SY428: $i] :
( ( ap @ ( f35 @ SV74 @ SV129 ) @ SY428 )
= ( ap @ ( c_2Ebool_2E_21 @ SV74 ) @ ( f34 @ SV74 @ SV129 @ SY428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(628,plain,
! [SV130: $i,SV75: $i] :
( ( ( ap @ ( f36 @ SV75 ) @ SV130 )
= ( f35 @ SV75 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(629,plain,
! [SV76: $i] :
( ( ( ~ ( ne @ SV76 ) )
= $true )
| ( ( ( c_2Ebool_2ERES__FORALL @ SV76 )
= ( f36 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(630,plain,
! [SV77: $i,SV131: $i] :
( ( ~ ( mem @ SV131 @ ( arr @ SV77 @ bool ) )
| ! [SY429: $i] :
( ~ ( mem @ SY429 @ ( arr @ SV77 @ bool ) )
| ! [SY430: $i] :
( ( ap @ ( f37 @ SV77 @ SV131 @ SY429 ) @ SY430 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY430 ) @ SV131 ) ) @ ( ap @ SY429 @ SY430 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(631,plain,
! [SV78: $i,SV132: $i] :
( ( ~ ( mem @ SV132 @ ( arr @ SV78 @ bool ) )
| ! [SY431: $i] :
( ( ap @ ( f38 @ SV78 @ SV132 ) @ SY431 )
= ( ap @ ( c_2Ebool_2E_3F @ SV78 ) @ ( f37 @ SV78 @ SV132 @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(632,plain,
! [SV133: $i,SV79: $i] :
( ( ( ap @ ( f39 @ SV79 ) @ SV133 )
= ( f38 @ SV79 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(633,plain,
! [SV80: $i] :
( ( ( ~ ( ne @ SV80 ) )
= $true )
| ( ( ( c_2Ebool_2ERES__EXISTS @ SV80 )
= ( f39 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(634,plain,
! [SV81: $i,SV134: $i] :
( ( ~ ( mem @ SV134 @ ( arr @ SV81 @ bool ) )
| ! [SY432: $i] :
( ( ap @ ( f40 @ SV81 @ SV134 ) @ SY432 )
= ( ap @ SV134 @ SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(635,plain,
! [SV82: $i,SV135: $i] :
( ( ~ ( mem @ SV135 @ ( arr @ SV82 @ bool ) )
| ! [SY433: $i] :
( ~ ( mem @ SY433 @ SV82 )
| ! [SY434: $i] :
( ( ap @ ( f41 @ SV82 @ SV135 @ SY433 ) @ SY434 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SY433 ) ) @ ( ap @ SV135 @ SY434 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SY433 ) @ SY434 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(636,plain,
! [SV83: $i,SV136: $i] :
( ( ~ ( mem @ SV136 @ ( arr @ SV83 @ bool ) )
| ! [SY435: $i] :
( ~ ( mem @ SY435 @ ( arr @ SV83 @ bool ) )
| ! [SY436: $i] :
( ( ap @ ( f42 @ SV83 @ SV136 @ SY435 ) @ SY436 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SY435 ) @ ( f41 @ SV83 @ SV136 @ SY436 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(637,plain,
! [SV84: $i,SV137: $i] :
( ( ~ ( mem @ SV137 @ ( arr @ SV84 @ bool ) )
| ! [SY437: $i] :
( ( ap @ ( f43 @ SV84 @ SV137 ) @ SY437 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ SV84 ) @ SV137 ) @ ( f40 @ SV84 @ SY437 ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV84 ) @ SV137 ) @ ( f42 @ SV84 @ SY437 @ SV137 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(638,plain,
! [SV138: $i,SV85: $i] :
( ( ( ap @ ( f44 @ SV85 ) @ SV138 )
= ( f43 @ SV85 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(639,plain,
! [SV86: $i] :
( ( ( ~ ( ne @ SV86 ) )
= $true )
| ( ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ SV86 )
= ( f44 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(640,plain,
! [SV87: $i,SV139: $i] :
( ( ~ ( mem @ SV139 @ ( arr @ SV87 @ bool ) )
| ! [SY438: $i] :
( ( ap @ ( f45 @ SV87 @ SV139 ) @ SY438 )
= ( ap @ ( c_2Emin_2E_40 @ SV87 ) @ ( f37 @ SV87 @ SV139 @ SY438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(641,plain,
! [SV140: $i,SV88: $i] :
( ( ( ap @ ( f46 @ SV88 ) @ SV140 )
= ( f45 @ SV88 @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(642,plain,
! [SV89: $i] :
( ( ( ~ ( ne @ SV89 ) )
= $true )
| ( ( ( c_2Ebool_2ERES__SELECT @ SV89 )
= ( f46 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(643,plain,
! [SV90: $i] :
( ( ( ~ ( ne @ SV90 ) )
= $true )
| ( ( ( c_2Ebool_2EDATATYPE @ SV90 )
= ( k @ SV90 @ c_2Ebool_2ET ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(644,plain,
! [SV91: $i] :
( ( ( ~ ( mem @ SV91 @ bool ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
| ~ ! [SY361: $i] :
( ~ ( mem @ SY361 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY361 ) )
| ~ ( p @ SV91 )
| ( p @ SY361 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(645,plain,
! [SV92: $i] :
( ( ( ~ ( mem @ SV92 @ bool ) )
= $true )
| ( ( ~ ( ~ ! [SY362: $i] :
( ~ ( mem @ SY362 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SY362 )
| ( SV92 = SY362 ) )
| ~ ! [SY363: $i] :
( ~ ( mem @ SY363 @ bool )
| ( p @ SV92 )
| ( p @ SY363 )
| ( SV92 = SY363 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(646,plain,
( ( ~ ~ ( ~ ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(647,plain,
( ( ~ ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(648,plain,
( ( ~ ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) )
| ~ ( p @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(649,plain,
( ( ~ ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ( p @ SX0 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(650,plain,
! [SV93: $i] :
( ( ( ~ ( ne @ SV93 ) )
= $true )
| ( ( ~ ( ~ ! [SY364: $i] :
( ~ ( mem @ SY364 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SY364 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SY364 @ ( sK4_X @ SY364 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY364 ) ) )
| ~ ! [SY365: $i] :
( ~ ( mem @ SY365 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY365 ) )
| ! [SY366: $i] :
( ~ ( mem @ SY366 @ SV93 )
| ( p @ ( ap @ SY365 @ SY366 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(651,plain,
( ( ~ ( mem @ sK2_V0t @ bool ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(652,plain,
( ( ~ ~ ( p @ sK2_V0t ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(653,plain,
! [SV94: $i] :
( ( ( ~ ( mem @ SV94 @ bool ) )
= $true )
| ( ( ~ ( ~ ! [SY367: $i] :
( ~ ( mem @ SY367 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SY367 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY367 ) ) )
| ~ ~ ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(654,plain,
! [SV95: $i] :
( ( ( ~ ( ne @ SV95 ) )
= $true )
| ( ( ~ ( ~ ! [SY370: $i] :
( ~ ( mem @ SY370 @ ( arr @ SV95 @ bool ) )
| ! [SY371: $i] :
( ~ ( mem @ SY371 @ SV95 )
| ~ ( p @ ( ap @ SY370 @ SY371 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY370 ) ) )
| ~ ! [SY372: $i] :
( ~ ( mem @ SY372 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY372 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SY372 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SY372 @ ( sK3_X @ SY372 @ SV95 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(655,plain,
! [SV96: $i] :
( ( ( ~ ( mem @ SV96 @ bool ) )
= $true )
| ( ( ~ ( ~ ! [SY373: $i] :
( ~ ( mem @ SY373 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY373 ) )
| ( p @ SV96 )
| ( p @ SY373 ) )
| ~ ~ ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(656,plain,
! [SV141: $i,SV97: $i] :
( ( ! [SY439: $i] :
( ~ ( mem @ SY439 @ ( arr @ SV97 @ SV141 ) )
| ! [SY440: $i] :
( ~ ( mem @ SY440 @ ( arr @ SV97 @ SV141 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SY440 @ SY439 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SY439 @ ( sK5_X @ SY440 @ SY439 @ SV141 @ SV97 ) )
!= ( ap @ SY440 @ ( sK5_X @ SY440 @ SY439 @ SV141 @ SV97 ) ) ) ) )
| ( SY439 = SY440 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(657,plain,
! [SV98: $i] :
( ( ( ~ ( ne @ SV98 ) )
= $true )
| ( ( ! [SY379: $i] :
( ~ ( mem @ SY379 @ SV98 )
| ~ ( ~ ! [SY380: $i] :
( ~ ( mem @ SY380 @ SV98 )
| ( SY379 != SY380 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SY379 ) @ SY380 ) ) )
| ~ ! [SY381: $i] :
( ~ ( mem @ SY381 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SY379 ) @ SY381 ) )
| ( SY379 = SY381 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(658,plain,
! [SV1: $i] :
( ( ( ne @ SV1 )
= $false )
| ( ( ! [SY237: $i] :
( ~ ( ne @ SY237 )
| ( ne @ ( arr @ SV1 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(659,plain,
! [SV99: $i,SV2: $i,SV142: $i] :
( ( ~ ( mem @ SV142 @ ( arr @ SV2 @ SV99 ) )
| ! [SY441: $i] :
( ~ ( mem @ SY441 @ SV2 )
| ( mem @ ( ap @ SV142 @ SY441 ) @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(660,plain,
! [SV100: $i,SV3: $i,SV143: $i] :
( ( ~ ( mem @ SV143 @ SV3 )
| ( ( ap @ ( k @ SV3 @ SV100 ) @ SV143 )
= SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(661,plain,
! [SV4: $i,SV101: $i] :
( ( ( ~ ( mem @ SV101 @ SV4 ) )
= $true )
| ( ( ( ap @ ( i @ SV4 ) @ SV101 )
= SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(662,plain,
! [SV5: $i] :
( ( ( ne @ SV5 )
= $false )
| ( ( mem @ ( c_2Emin_2E_3D @ SV5 ) @ ( arr @ SV5 @ ( arr @ SV5 @ bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(663,plain,
! [SV6: $i] :
( ( ( ne @ SV6 )
= $false )
| ( ( mem @ ( c_2Emin_2E_40 @ SV6 ) @ ( arr @ ( arr @ SV6 @ bool ) @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(664,plain,
! [SV7: $i] :
( ( ( ne @ SV7 )
= $false )
| ( ( ne @ ( ty_2Ebool_2Eitself @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(665,plain,
! [SV8: $i] :
( ( ( ne @ SV8 )
= $false )
| ( ( mem @ ( c_2Ebool_2E_21 @ SV8 ) @ ( arr @ ( arr @ SV8 @ bool ) @ bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(666,plain,
! [SV9: $i] :
( ( ( ne @ SV9 )
= $false )
| ( ( mem @ ( c_2Ebool_2E_3F @ SV9 ) @ ( arr @ ( arr @ SV9 @ bool ) @ bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(667,plain,
! [SV10: $i] :
( ( ( ne @ SV10 )
= $false )
| ( ( mem @ ( c_2Ebool_2E_3F_21 @ SV10 ) @ ( arr @ ( arr @ SV10 @ bool ) @ bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(668,plain,
! [SV11: $i] :
( ( ( ne @ SV11 )
= $false )
| ( ( mem @ ( c_2Ebool_2EARB @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(669,plain,
! [SV12: $i] :
( ( ( ne @ SV12 )
= $false )
| ( ( mem @ ( c_2Ebool_2ECOND @ SV12 ) @ ( arr @ bool @ ( arr @ SV12 @ ( arr @ SV12 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(670,plain,
! [SV13: $i] :
( ( ( ne @ SV13 )
= $false )
| ( ( mem @ ( c_2Ebool_2EDATATYPE @ SV13 ) @ ( arr @ SV13 @ bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(671,plain,
! [SV14: $i] :
( ( ( ne @ SV14 )
= $false )
| ( ( mem @ ( c_2Ebool_2EIN @ SV14 ) @ ( arr @ SV14 @ ( arr @ ( arr @ SV14 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(672,plain,
! [SV15: $i] :
( ( ( ne @ SV15 )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( ne @ SY244 )
| ( mem @ ( c_2Ebool_2ELET @ SV15 @ SY244 ) @ ( arr @ ( arr @ SV15 @ SY244 ) @ ( arr @ SV15 @ SY244 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(673,plain,
! [SV16: $i] :
( ( ( ne @ SV16 )
= $false )
| ( ( ! [SY245: $i] :
( ~ ( ne @ SY245 )
| ( mem @ ( c_2Ebool_2EONE__ONE @ SV16 @ SY245 ) @ ( arr @ ( arr @ SV16 @ SY245 ) @ bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(674,plain,
! [SV17: $i] :
( ( ( ne @ SV17 )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( ne @ SY246 )
| ( mem @ ( c_2Ebool_2EONTO @ SV17 @ SY246 ) @ ( arr @ ( arr @ SV17 @ SY246 ) @ bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(675,plain,
! [SV18: $i] :
( ( ( ne @ SV18 )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( ne @ SY247 )
| ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ SV18 @ SY247 ) @ ( arr @ ( arr @ SV18 @ bool ) @ ( arr @ ( arr @ SV18 @ SY247 ) @ ( arr @ SV18 @ SY247 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(676,plain,
! [SV19: $i] :
( ( ( ne @ SV19 )
= $false )
| ( ( mem @ ( c_2Ebool_2ERES__EXISTS @ SV19 ) @ ( arr @ ( arr @ SV19 @ bool ) @ ( arr @ ( arr @ SV19 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(677,plain,
! [SV20: $i] :
( ( ( ne @ SV20 )
= $false )
| ( ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ SV20 ) @ ( arr @ ( arr @ SV20 @ bool ) @ ( arr @ ( arr @ SV20 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(678,plain,
! [SV21: $i] :
( ( ( ne @ SV21 )
= $false )
| ( ( mem @ ( c_2Ebool_2ERES__FORALL @ SV21 ) @ ( arr @ ( arr @ SV21 @ bool ) @ ( arr @ ( arr @ SV21 @ bool ) @ bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(679,plain,
! [SV22: $i] :
( ( ( ne @ SV22 )
= $false )
| ( ( mem @ ( c_2Ebool_2ERES__SELECT @ SV22 ) @ ( arr @ ( arr @ SV22 @ bool ) @ ( arr @ ( arr @ SV22 @ bool ) @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(680,plain,
! [SV23: $i] :
( ( ( ne @ SV23 )
= $false )
| ( ( ! [SY248: $i] :
( ~ ( ne @ SY248 )
| ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ SV23 @ SY248 ) @ ( arr @ ( arr @ SV23 @ bool ) @ ( arr @ ( arr @ SY248 @ SV23 ) @ bool ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(681,plain,
! [SV24: $i] :
( ( ( ne @ SV24 )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( ne @ SY249 )
| ( mem @ ( c_2Ebool_2Eitself__case @ SV24 @ SY249 ) @ ( arr @ ( ty_2Ebool_2Eitself @ SV24 ) @ ( arr @ SY249 @ SY249 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(682,plain,
! [SV25: $i] :
( ( ( ne @ SV25 )
= $false )
| ( ( ! [SY250: $i] :
( ~ ( ne @ SY250 )
| ( mem @ ( c_2Ebool_2Eliteral__case @ SV25 @ SY250 ) @ ( arr @ ( arr @ SV25 @ SY250 ) @ ( arr @ SV25 @ SY250 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(683,plain,
! [SV26: $i] :
( ( ( ne @ SV26 )
= $false )
| ( ( mem @ ( c_2Ebool_2Ethe__value @ SV26 ) @ ( ty_2Ebool_2Eitself @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(684,plain,
! [SV28: $i] :
( ( ( ne @ SV28 )
= $false )
| ( ( ( c_2Ebool_2E_21 @ SV28 )
= ( f1 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(685,plain,
! [SV30: $i] :
( ( ( ne @ SV30 )
= $false )
| ( ( ( c_2Ebool_2E_3F @ SV30 )
= ( f2 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(686,plain,
! [SV31: $i] :
( ( ( mem @ SV31 @ bool )
= $false )
| ( ( ! [SY253: $i] :
( ~ ( mem @ SY253 @ bool )
| ! [SY254: $i] :
( ( ap @ ( f3 @ SV31 @ SY253 ) @ SY254 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SY253 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SY254 ) ) ) @ SY254 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(687,plain,
! [SV32: $i] :
( ( ( mem @ SV32 @ bool )
= $false )
| ( ( ! [SY255: $i] :
( ( ap @ ( f4 @ SV32 ) @ SY255 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ SY255 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(688,plain,
! [SV34: $i] :
( ( ( mem @ SV34 @ bool )
= $false )
| ( ( ! [SY256: $i] :
( ~ ( mem @ SY256 @ bool )
| ! [SY257: $i] :
( ( ap @ ( f6 @ SV34 @ SY256 ) @ SY257 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SY257 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SY256 ) @ SY257 ) ) @ SY257 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(689,plain,
! [SV35: $i] :
( ( ( mem @ SV35 @ bool )
= $false )
| ( ( ! [SY258: $i] :
( ( ap @ ( f7 @ SV35 ) @ SY258 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ SV35 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(690,plain,
! [SV38: $i,SV104: $i] :
( ( ( ~ ( mem @ SV104 @ ( arr @ SV38 @ bool ) ) )
= $true )
| ( ( ! [SY385: $i] :
( ~ ( mem @ SY385 @ SV38 )
| ! [SY386: $i] :
( ( ap @ ( f10 @ SV38 @ SV104 @ SY385 ) @ SY386 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SY385 ) ) @ ( ap @ SV104 @ SY386 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SY385 ) @ SY386 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(691,plain,
! [SV39: $i,SV105: $i] :
( ( ( ~ ( mem @ SV105 @ ( arr @ SV39 @ bool ) ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ap @ ( f11 @ SV39 @ SV105 ) @ SY387 )
= ( ap @ ( c_2Ebool_2E_21 @ SV39 ) @ ( f10 @ SV39 @ SV105 @ SY387 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(692,plain,
! [SV41: $i] :
( ( ( ne @ SV41 )
= $false )
| ( ( ( c_2Ebool_2E_3F_21 @ SV41 )
= ( f12 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(693,plain,
! [SV42: $i,SV107: $i,SV144: $i] :
( ( ~ ( mem @ SV144 @ ( arr @ SV107 @ SV42 ) )
| ! [SY442: $i] :
( ( ap @ ( f13 @ SV42 @ SV107 @ SV144 ) @ SY442 )
= ( ap @ SV144 @ SY442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(694,plain,
! [SV145: $i,SV108: $i,SV43: $i] :
( ( ( ap @ ( f14 @ SV43 @ SV108 ) @ SV145 )
= ( f13 @ SV43 @ SV108 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(695,plain,
! [SV44: $i] :
( ( ( ne @ SV44 )
= $false )
| ( ( ! [SY270: $i] :
( ~ ( ne @ SY270 )
| ( ( c_2Ebool_2ELET @ SV44 @ SY270 )
= ( f14 @ SY270 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(696,plain,
! [SV45: $i,SV109: $i] :
( ( ( ~ ( mem @ SV109 @ SV45 ) )
= $true )
| ( ( ! [SY391: $i] :
( ~ ( mem @ SY391 @ SV45 )
| ! [SY392: $i] :
( ~ ( mem @ SY392 @ bool )
| ! [SY393: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SY391 @ SY392 ) @ SY393 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY392 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY393 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY392 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY393 ) @ SY391 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(697,plain,
! [SV46: $i,SV110: $i] :
( ( ( ~ ( mem @ SV110 @ bool ) )
= $true )
| ( ( ! [SY394: $i] :
( ~ ( mem @ SY394 @ SV46 )
| ! [SY395: $i] :
( ( ap @ ( f16 @ SV46 @ SV110 @ SY394 ) @ SY395 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SY394 @ SY395 @ SV110 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(698,plain,
! [SV47: $i,SV111: $i] :
( ( ( ~ ( mem @ SV111 @ bool ) )
= $true )
| ( ( ! [SY396: $i] :
( ( ap @ ( f17 @ SV47 @ SV111 ) @ SY396 )
= ( f16 @ SV47 @ SV111 @ SY396 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(699,plain,
! [SV49: $i] :
( ( ( ne @ SV49 )
= $false )
| ( ( ( c_2Ebool_2ECOND @ SV49 )
= ( f18 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(700,plain,
! [SV50: $i,SV113: $i,SV146: $i] :
( ( ~ ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) )
| ! [SY443: $i] :
( ~ ( mem @ SY443 @ SV113 )
| ! [SY444: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SY443 ) @ SY444 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SY443 ) ) @ ( ap @ SV146 @ SY444 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SY443 ) @ SY444 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(701,plain,
! [SV51: $i,SV114: $i,SV147: $i] :
( ( ~ ( mem @ SV147 @ ( arr @ SV114 @ SV51 ) )
| ! [SY445: $i] :
( ( ap @ ( f20 @ SV51 @ SV114 @ SV147 ) @ SY445 )
= ( ap @ ( c_2Ebool_2E_21 @ SV114 ) @ ( f19 @ SV51 @ SV114 @ SV147 @ SY445 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(702,plain,
! [SV148: $i,SV115: $i,SV52: $i] :
( ( ( ap @ ( f21 @ SV52 @ SV115 ) @ SV148 )
= ( ap @ ( c_2Ebool_2E_21 @ SV115 ) @ ( f20 @ SV52 @ SV115 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(703,plain,
! [SV53: $i] :
( ( ( ne @ SV53 )
= $false )
| ( ( ! [SY290: $i] :
( ~ ( ne @ SY290 )
| ( ( c_2Ebool_2EONE__ONE @ SV53 @ SY290 )
= ( f21 @ SY290 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(704,plain,
! [SV54: $i,SV116: $i,SV149: $i] :
( ( ~ ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) )
| ! [SY446: $i] :
( ~ ( mem @ SY446 @ SV54 )
| ! [SY447: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SY446 ) @ SY447 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SY446 ) @ ( ap @ SV149 @ SY447 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(705,plain,
! [SV117: $i,SV55: $i,SV150: $i] :
( ( ~ ( mem @ SV150 @ ( arr @ SV55 @ SV117 ) )
| ! [SY448: $i] :
( ( ap @ ( f23 @ SV55 @ SV117 @ SV150 ) @ SY448 )
= ( ap @ ( c_2Ebool_2E_3F @ SV55 ) @ ( f22 @ SV117 @ SV55 @ SV150 @ SY448 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(706,plain,
! [SV151: $i,SV118: $i,SV56: $i] :
( ( ( ap @ ( f24 @ SV56 @ SV118 ) @ SV151 )
= ( ap @ ( c_2Ebool_2E_21 @ SV118 ) @ ( f23 @ SV56 @ SV118 @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(707,plain,
! [SV57: $i] :
( ( ( ne @ SV57 )
= $false )
| ( ( ! [SY300: $i] :
( ~ ( ne @ SY300 )
| ( ( c_2Ebool_2EONTO @ SV57 @ SY300 )
= ( f24 @ SV57 @ SY300 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(708,plain,
! [SV58: $i,SV119: $i,SV152: $i] :
( ( ~ ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) )
| ! [SY449: $i] :
( ~ ( mem @ SY449 @ SV119 )
| ! [SY450: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SY449 ) @ SY450 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SY449 ) ) @ ( ap @ SV152 @ SY450 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SY449 ) @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(709,plain,
! [SV59: $i,SV120: $i,SV153: $i] :
( ( ~ ( mem @ SV153 @ ( arr @ SV120 @ SV59 ) )
| ! [SY451: $i] :
( ( ap @ ( f26 @ SV59 @ SV120 @ SV153 ) @ SY451 )
= ( ap @ ( c_2Ebool_2E_21 @ SV120 ) @ ( f25 @ SV59 @ SV120 @ SV153 @ SY451 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(710,plain,
! [SV60: $i,SV121: $i,SV154: $i] :
( ( ~ ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) )
| ! [SY452: $i] :
( ~ ( mem @ SY452 @ SV60 )
| ! [SY453: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SY452 ) @ SY453 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SY452 ) @ ( ap @ SV154 @ SY453 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(711,plain,
! [SV61: $i,SV122: $i,SV155: $i] :
( ( ~ ( mem @ SV155 @ ( arr @ SV122 @ bool ) )
| ! [SY454: $i] :
( ~ ( mem @ SY454 @ ( arr @ SV61 @ SV122 ) )
| ! [SY455: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SY454 ) @ SY455 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SY455 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SY454 @ SY455 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(712,plain,
! [SV62: $i,SV123: $i,SV156: $i] :
( ( ~ ( mem @ SV156 @ ( arr @ SV123 @ bool ) )
| ! [SY456: $i] :
( ( ap @ ( f29 @ SV62 @ SV123 @ SV156 ) @ SY456 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ SV62 ) @ ( f26 @ SV123 @ SV62 @ SY456 ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV123 ) @ ( f28 @ SV62 @ SV123 @ SV156 @ SY456 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(713,plain,
! [SV157: $i,SV124: $i,SV63: $i] :
( ( ( ap @ ( f30 @ SV63 @ SV124 ) @ SV157 )
= ( f29 @ SV63 @ SV124 @ SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(714,plain,
! [SV64: $i] :
( ( ( ne @ SV64 )
= $false )
| ( ( ! [SY321: $i] :
( ~ ( ne @ SY321 )
| ( ( c_2Ebool_2ETYPE__DEFINITION @ SV64 @ SY321 )
= ( f30 @ SY321 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(715,plain,
! [SV65: $i] :
( ( ( mem @ SV65 @ bool )
= $false )
| ( ( ( p @ SV65 )
| ~ ( p @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(716,plain,
! [SV66: $i,SV125: $i,SV158: $i] :
( ( ~ ( mem @ SV158 @ ( arr @ SV125 @ SV66 ) )
| ! [SY457: $i] :
( ( ap @ ( f31 @ SV66 @ SV125 @ SV158 ) @ SY457 )
= ( ap @ SV158 @ SY457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(717,plain,
! [SV67: $i] :
( ( ( ne @ SV67 )
= $false )
| ( ( ! [SY325: $i] :
( ~ ( ne @ SY325 )
| ! [SY326: $i] :
( ~ ( mem @ SY326 @ ( arr @ SV67 @ SY325 ) )
| ( ( f31 @ SY325 @ SV67 @ SY326 )
= SY326 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(718,plain,
! [SV68: $i] :
( ( ( ne @ SV68 )
= $false )
| ( ( ! [SY327: $i] :
( ~ ( mem @ SY327 @ ( arr @ SV68 @ bool ) )
| ! [SY328: $i] :
( ~ ( mem @ SY328 @ SV68 )
| ~ ( p @ ( ap @ SY327 @ SY328 ) )
| ( p @ ( ap @ SY327 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SY327 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(719,plain,
! [SV69: $i] :
( ( ( ne @ SV69 )
= $false )
| ( ( ! [SY329: $i] :
( ~ ( ne @ SY329 )
| ( ( c_2Ebool_2Eliteral__case @ SV69 @ SY329 )
= ( f14 @ SY329 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(720,plain,
! [SV70: $i,SV126: $i] :
( ( ( ~ ( mem @ SV126 @ SV70 ) )
= $true )
| ( ( ! [SY425: $i] :
( ( ap @ ( f32 @ SV70 @ SV126 ) @ SY425 )
= ( ap @ SY425 @ SV126 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(721,plain,
! [SV72: $i] :
( ( ( ne @ SV72 )
= $false )
| ( ( ( c_2Ebool_2EIN @ SV72 )
= ( f33 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(722,plain,
! [SV73: $i,SV128: $i] :
( ( ( ~ ( mem @ SV128 @ ( arr @ SV73 @ bool ) ) )
= $true )
| ( ( ! [SY426: $i] :
( ~ ( mem @ SY426 @ ( arr @ SV73 @ bool ) )
| ! [SY427: $i] :
( ( ap @ ( f34 @ SV73 @ SV128 @ SY426 ) @ SY427 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY427 ) @ SV128 ) ) @ ( ap @ SY426 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(723,plain,
! [SV74: $i,SV129: $i] :
( ( ( ~ ( mem @ SV129 @ ( arr @ SV74 @ bool ) ) )
= $true )
| ( ( ! [SY428: $i] :
( ( ap @ ( f35 @ SV74 @ SV129 ) @ SY428 )
= ( ap @ ( c_2Ebool_2E_21 @ SV74 ) @ ( f34 @ SV74 @ SV129 @ SY428 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(724,plain,
! [SV76: $i] :
( ( ( ne @ SV76 )
= $false )
| ( ( ( c_2Ebool_2ERES__FORALL @ SV76 )
= ( f36 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(725,plain,
! [SV77: $i,SV131: $i] :
( ( ( ~ ( mem @ SV131 @ ( arr @ SV77 @ bool ) ) )
= $true )
| ( ( ! [SY429: $i] :
( ~ ( mem @ SY429 @ ( arr @ SV77 @ bool ) )
| ! [SY430: $i] :
( ( ap @ ( f37 @ SV77 @ SV131 @ SY429 ) @ SY430 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY430 ) @ SV131 ) ) @ ( ap @ SY429 @ SY430 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(726,plain,
! [SV78: $i,SV132: $i] :
( ( ( ~ ( mem @ SV132 @ ( arr @ SV78 @ bool ) ) )
= $true )
| ( ( ! [SY431: $i] :
( ( ap @ ( f38 @ SV78 @ SV132 ) @ SY431 )
= ( ap @ ( c_2Ebool_2E_3F @ SV78 ) @ ( f37 @ SV78 @ SV132 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(727,plain,
! [SV80: $i] :
( ( ( ne @ SV80 )
= $false )
| ( ( ( c_2Ebool_2ERES__EXISTS @ SV80 )
= ( f39 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(728,plain,
! [SV81: $i,SV134: $i] :
( ( ( ~ ( mem @ SV134 @ ( arr @ SV81 @ bool ) ) )
= $true )
| ( ( ! [SY432: $i] :
( ( ap @ ( f40 @ SV81 @ SV134 ) @ SY432 )
= ( ap @ SV134 @ SY432 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(729,plain,
! [SV82: $i,SV135: $i] :
( ( ( ~ ( mem @ SV135 @ ( arr @ SV82 @ bool ) ) )
= $true )
| ( ( ! [SY433: $i] :
( ~ ( mem @ SY433 @ SV82 )
| ! [SY434: $i] :
( ( ap @ ( f41 @ SV82 @ SV135 @ SY433 ) @ SY434 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SY433 ) ) @ ( ap @ SV135 @ SY434 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SY433 ) @ SY434 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(730,plain,
! [SV83: $i,SV136: $i] :
( ( ( ~ ( mem @ SV136 @ ( arr @ SV83 @ bool ) ) )
= $true )
| ( ( ! [SY435: $i] :
( ~ ( mem @ SY435 @ ( arr @ SV83 @ bool ) )
| ! [SY436: $i] :
( ( ap @ ( f42 @ SV83 @ SV136 @ SY435 ) @ SY436 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SY435 ) @ ( f41 @ SV83 @ SV136 @ SY436 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(731,plain,
! [SV84: $i,SV137: $i] :
( ( ( ~ ( mem @ SV137 @ ( arr @ SV84 @ bool ) ) )
= $true )
| ( ( ! [SY437: $i] :
( ( ap @ ( f43 @ SV84 @ SV137 ) @ SY437 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ SV84 ) @ SV137 ) @ ( f40 @ SV84 @ SY437 ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV84 ) @ SV137 ) @ ( f42 @ SV84 @ SY437 @ SV137 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(732,plain,
! [SV86: $i] :
( ( ( ne @ SV86 )
= $false )
| ( ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ SV86 )
= ( f44 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(733,plain,
! [SV87: $i,SV139: $i] :
( ( ( ~ ( mem @ SV139 @ ( arr @ SV87 @ bool ) ) )
= $true )
| ( ( ! [SY438: $i] :
( ( ap @ ( f45 @ SV87 @ SV139 ) @ SY438 )
= ( ap @ ( c_2Emin_2E_40 @ SV87 ) @ ( f37 @ SV87 @ SV139 @ SY438 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(734,plain,
! [SV89: $i] :
( ( ( ne @ SV89 )
= $false )
| ( ( ( c_2Ebool_2ERES__SELECT @ SV89 )
= ( f46 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(735,plain,
! [SV90: $i] :
( ( ( ne @ SV90 )
= $false )
| ( ( ( c_2Ebool_2EDATATYPE @ SV90 )
= ( k @ SV90 @ c_2Ebool_2ET ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(736,plain,
! [SV91: $i] :
( ( ( mem @ SV91 @ bool )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
| ~ ! [SY361: $i] :
( ~ ( mem @ SY361 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY361 ) )
| ~ ( p @ SV91 )
| ( p @ SY361 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(737,plain,
! [SV92: $i] :
( ( ( mem @ SV92 @ bool )
= $false )
| ( ( ~ ( ~ ! [SY362: $i] :
( ~ ( mem @ SY362 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SY362 )
| ( SV92 = SY362 ) )
| ~ ! [SY363: $i] :
( ~ ( mem @ SY363 @ bool )
| ( p @ SV92 )
| ( p @ SY363 )
| ( SV92 = SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(738,plain,
( ( ~ ( ~ ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(739,plain,
( ( ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(740,plain,
( ( ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) )
| ~ ( p @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(741,plain,
( ( ! [SX0: $i] :
( ~ ( mem @ SX0 @ bool )
| ( p @ SX0 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(742,plain,
! [SV93: $i] :
( ( ( ne @ SV93 )
= $false )
| ( ( ~ ( ~ ! [SY364: $i] :
( ~ ( mem @ SY364 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SY364 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SY364 @ ( sK4_X @ SY364 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY364 ) ) )
| ~ ! [SY365: $i] :
( ~ ( mem @ SY365 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY365 ) )
| ! [SY366: $i] :
( ~ ( mem @ SY366 @ SV93 )
| ( p @ ( ap @ SY365 @ SY366 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(743,plain,
( ( mem @ sK2_V0t @ bool )
= $true ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(744,plain,
( ( ~ ( p @ sK2_V0t ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(745,plain,
! [SV94: $i] :
( ( ( mem @ SV94 @ bool )
= $false )
| ( ( ~ ( ~ ! [SY367: $i] :
( ~ ( mem @ SY367 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SY367 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY367 ) ) )
| ~ ~ ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(746,plain,
! [SV95: $i] :
( ( ( ne @ SV95 )
= $false )
| ( ( ~ ( ~ ! [SY370: $i] :
( ~ ( mem @ SY370 @ ( arr @ SV95 @ bool ) )
| ! [SY371: $i] :
( ~ ( mem @ SY371 @ SV95 )
| ~ ( p @ ( ap @ SY370 @ SY371 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY370 ) ) )
| ~ ! [SY372: $i] :
( ~ ( mem @ SY372 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY372 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SY372 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SY372 @ ( sK3_X @ SY372 @ SV95 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(747,plain,
! [SV96: $i] :
( ( ( mem @ SV96 @ bool )
= $false )
| ( ( ~ ( ~ ! [SY373: $i] :
( ~ ( mem @ SY373 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY373 ) )
| ( p @ SV96 )
| ( p @ SY373 ) )
| ~ ~ ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(748,plain,
! [SV141: $i,SV97: $i,SV159: $i] :
( ( ~ ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
| ! [SY458: $i] :
( ~ ( mem @ SY458 @ ( arr @ SV97 @ SV141 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SY458 @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) ) ) ) )
| ( SV159 = SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(749,plain,
! [SV98: $i] :
( ( ( ne @ SV98 )
= $false )
| ( ( ! [SY379: $i] :
( ~ ( mem @ SY379 @ SV98 )
| ~ ( ~ ! [SY380: $i] :
( ~ ( mem @ SY380 @ SV98 )
| ( SY379 != SY380 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SY379 ) @ SY380 ) ) )
| ~ ! [SY381: $i] :
( ~ ( mem @ SY381 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SY379 ) @ SY381 ) )
| ( SY379 = SY381 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(750,plain,
! [SV1: $i,SV160: $i] :
( ( ( ~ ( ne @ SV160 )
| ( ne @ ( arr @ SV1 @ SV160 ) ) )
= $true )
| ( ( ne @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(751,plain,
! [SV99: $i,SV2: $i,SV142: $i] :
( ( ( ~ ( mem @ SV142 @ ( arr @ SV2 @ SV99 ) ) )
= $true )
| ( ( ! [SY441: $i] :
( ~ ( mem @ SY441 @ SV2 )
| ( mem @ ( ap @ SV142 @ SY441 ) @ SV99 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(752,plain,
! [SV100: $i,SV3: $i,SV143: $i] :
( ( ( ~ ( mem @ SV143 @ SV3 ) )
= $true )
| ( ( ( ap @ ( k @ SV3 @ SV100 ) @ SV143 )
= SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(753,plain,
! [SV4: $i,SV101: $i] :
( ( ( mem @ SV101 @ SV4 )
= $false )
| ( ( ( ap @ ( i @ SV4 ) @ SV101 )
= SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(754,plain,
! [SV15: $i,SV161: $i] :
( ( ( ~ ( ne @ SV161 )
| ( mem @ ( c_2Ebool_2ELET @ SV15 @ SV161 ) @ ( arr @ ( arr @ SV15 @ SV161 ) @ ( arr @ SV15 @ SV161 ) ) ) )
= $true )
| ( ( ne @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(755,plain,
! [SV16: $i,SV162: $i] :
( ( ( ~ ( ne @ SV162 )
| ( mem @ ( c_2Ebool_2EONE__ONE @ SV16 @ SV162 ) @ ( arr @ ( arr @ SV16 @ SV162 ) @ bool ) ) )
= $true )
| ( ( ne @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(756,plain,
! [SV17: $i,SV163: $i] :
( ( ( ~ ( ne @ SV163 )
| ( mem @ ( c_2Ebool_2EONTO @ SV17 @ SV163 ) @ ( arr @ ( arr @ SV17 @ SV163 ) @ bool ) ) )
= $true )
| ( ( ne @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(757,plain,
! [SV18: $i,SV164: $i] :
( ( ( ~ ( ne @ SV164 )
| ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ SV18 @ SV164 ) @ ( arr @ ( arr @ SV18 @ bool ) @ ( arr @ ( arr @ SV18 @ SV164 ) @ ( arr @ SV18 @ SV164 ) ) ) ) )
= $true )
| ( ( ne @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(758,plain,
! [SV23: $i,SV165: $i] :
( ( ( ~ ( ne @ SV165 )
| ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ SV23 @ SV165 ) @ ( arr @ ( arr @ SV23 @ bool ) @ ( arr @ ( arr @ SV165 @ SV23 ) @ bool ) ) ) )
= $true )
| ( ( ne @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(759,plain,
! [SV24: $i,SV166: $i] :
( ( ( ~ ( ne @ SV166 )
| ( mem @ ( c_2Ebool_2Eitself__case @ SV24 @ SV166 ) @ ( arr @ ( ty_2Ebool_2Eitself @ SV24 ) @ ( arr @ SV166 @ SV166 ) ) ) )
= $true )
| ( ( ne @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(760,plain,
! [SV25: $i,SV167: $i] :
( ( ( ~ ( ne @ SV167 )
| ( mem @ ( c_2Ebool_2Eliteral__case @ SV25 @ SV167 ) @ ( arr @ ( arr @ SV25 @ SV167 ) @ ( arr @ SV25 @ SV167 ) ) ) )
= $true )
| ( ( ne @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(761,plain,
! [SV31: $i,SV168: $i] :
( ( ( ~ ( mem @ SV168 @ bool )
| ! [SY459: $i] :
( ( ap @ ( f3 @ SV31 @ SV168 ) @ SY459 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV168 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SY459 ) ) ) @ SY459 ) ) )
= $true )
| ( ( mem @ SV31 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(762,plain,
! [SV169: $i,SV32: $i] :
( ( ( ( ap @ ( f4 @ SV32 ) @ SV169 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f3 @ SV169 @ SV32 ) ) )
= $true )
| ( ( mem @ SV32 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(763,plain,
! [SV34: $i,SV170: $i] :
( ( ( ~ ( mem @ SV170 @ bool )
| ! [SY460: $i] :
( ( ap @ ( f6 @ SV34 @ SV170 ) @ SY460 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SY460 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV170 ) @ SY460 ) ) @ SY460 ) ) ) )
= $true )
| ( ( mem @ SV34 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(764,plain,
! [SV171: $i,SV35: $i] :
( ( ( ( ap @ ( f7 @ SV35 ) @ SV171 )
= ( ap @ ( c_2Ebool_2E_21 @ bool ) @ ( f6 @ SV35 @ SV171 ) ) )
= $true )
| ( ( mem @ SV35 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(765,plain,
! [SV38: $i,SV104: $i] :
( ( ( mem @ SV104 @ ( arr @ SV38 @ bool ) )
= $false )
| ( ( ! [SY385: $i] :
( ~ ( mem @ SY385 @ SV38 )
| ! [SY386: $i] :
( ( ap @ ( f10 @ SV38 @ SV104 @ SY385 ) @ SY386 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SY385 ) ) @ ( ap @ SV104 @ SY386 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SY385 ) @ SY386 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(766,plain,
! [SV39: $i,SV105: $i] :
( ( ( mem @ SV105 @ ( arr @ SV39 @ bool ) )
= $false )
| ( ( ! [SY387: $i] :
( ( ap @ ( f11 @ SV39 @ SV105 ) @ SY387 )
= ( ap @ ( c_2Ebool_2E_21 @ SV39 ) @ ( f10 @ SV39 @ SV105 @ SY387 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(767,plain,
! [SV42: $i,SV107: $i,SV144: $i] :
( ( ( ~ ( mem @ SV144 @ ( arr @ SV107 @ SV42 ) ) )
= $true )
| ( ( ! [SY442: $i] :
( ( ap @ ( f13 @ SV42 @ SV107 @ SV144 ) @ SY442 )
= ( ap @ SV144 @ SY442 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(768,plain,
! [SV44: $i,SV172: $i] :
( ( ( ~ ( ne @ SV172 )
| ( ( c_2Ebool_2ELET @ SV44 @ SV172 )
= ( f14 @ SV172 @ SV44 ) ) )
= $true )
| ( ( ne @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(769,plain,
! [SV45: $i,SV109: $i] :
( ( ( mem @ SV109 @ SV45 )
= $false )
| ( ( ! [SY391: $i] :
( ~ ( mem @ SY391 @ SV45 )
| ! [SY392: $i] :
( ~ ( mem @ SY392 @ bool )
| ! [SY393: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SY391 @ SY392 ) @ SY393 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY392 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY393 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY392 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY393 ) @ SY391 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(770,plain,
! [SV46: $i,SV110: $i] :
( ( ( mem @ SV110 @ bool )
= $false )
| ( ( ! [SY394: $i] :
( ~ ( mem @ SY394 @ SV46 )
| ! [SY395: $i] :
( ( ap @ ( f16 @ SV46 @ SV110 @ SY394 ) @ SY395 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SY394 @ SY395 @ SV110 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(771,plain,
! [SV47: $i,SV111: $i] :
( ( ( mem @ SV111 @ bool )
= $false )
| ( ( ! [SY396: $i] :
( ( ap @ ( f17 @ SV47 @ SV111 ) @ SY396 )
= ( f16 @ SV47 @ SV111 @ SY396 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(772,plain,
! [SV50: $i,SV113: $i,SV146: $i] :
( ( ( ~ ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) ) )
= $true )
| ( ( ! [SY443: $i] :
( ~ ( mem @ SY443 @ SV113 )
| ! [SY444: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SY443 ) @ SY444 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SY443 ) ) @ ( ap @ SV146 @ SY444 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SY443 ) @ SY444 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(773,plain,
! [SV51: $i,SV114: $i,SV147: $i] :
( ( ( ~ ( mem @ SV147 @ ( arr @ SV114 @ SV51 ) ) )
= $true )
| ( ( ! [SY445: $i] :
( ( ap @ ( f20 @ SV51 @ SV114 @ SV147 ) @ SY445 )
= ( ap @ ( c_2Ebool_2E_21 @ SV114 ) @ ( f19 @ SV51 @ SV114 @ SV147 @ SY445 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(774,plain,
! [SV53: $i,SV173: $i] :
( ( ( ~ ( ne @ SV173 )
| ( ( c_2Ebool_2EONE__ONE @ SV53 @ SV173 )
= ( f21 @ SV173 @ SV53 ) ) )
= $true )
| ( ( ne @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(775,plain,
! [SV54: $i,SV116: $i,SV149: $i] :
( ( ( ~ ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) ) )
= $true )
| ( ( ! [SY446: $i] :
( ~ ( mem @ SY446 @ SV54 )
| ! [SY447: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SY446 ) @ SY447 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SY446 ) @ ( ap @ SV149 @ SY447 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(776,plain,
! [SV117: $i,SV55: $i,SV150: $i] :
( ( ( ~ ( mem @ SV150 @ ( arr @ SV55 @ SV117 ) ) )
= $true )
| ( ( ! [SY448: $i] :
( ( ap @ ( f23 @ SV55 @ SV117 @ SV150 ) @ SY448 )
= ( ap @ ( c_2Ebool_2E_3F @ SV55 ) @ ( f22 @ SV117 @ SV55 @ SV150 @ SY448 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(777,plain,
! [SV57: $i,SV174: $i] :
( ( ( ~ ( ne @ SV174 )
| ( ( c_2Ebool_2EONTO @ SV57 @ SV174 )
= ( f24 @ SV57 @ SV174 ) ) )
= $true )
| ( ( ne @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(778,plain,
! [SV58: $i,SV119: $i,SV152: $i] :
( ( ( ~ ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) ) )
= $true )
| ( ( ! [SY449: $i] :
( ~ ( mem @ SY449 @ SV119 )
| ! [SY450: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SY449 ) @ SY450 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SY449 ) ) @ ( ap @ SV152 @ SY450 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SY449 ) @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(779,plain,
! [SV59: $i,SV120: $i,SV153: $i] :
( ( ( ~ ( mem @ SV153 @ ( arr @ SV120 @ SV59 ) ) )
= $true )
| ( ( ! [SY451: $i] :
( ( ap @ ( f26 @ SV59 @ SV120 @ SV153 ) @ SY451 )
= ( ap @ ( c_2Ebool_2E_21 @ SV120 ) @ ( f25 @ SV59 @ SV120 @ SV153 @ SY451 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(780,plain,
! [SV60: $i,SV121: $i,SV154: $i] :
( ( ( ~ ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) ) )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( mem @ SY452 @ SV60 )
| ! [SY453: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SY452 ) @ SY453 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SY452 ) @ ( ap @ SV154 @ SY453 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(781,plain,
! [SV61: $i,SV122: $i,SV155: $i] :
( ( ( ~ ( mem @ SV155 @ ( arr @ SV122 @ bool ) ) )
= $true )
| ( ( ! [SY454: $i] :
( ~ ( mem @ SY454 @ ( arr @ SV61 @ SV122 ) )
| ! [SY455: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SY454 ) @ SY455 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SY455 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SY454 @ SY455 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(782,plain,
! [SV62: $i,SV123: $i,SV156: $i] :
( ( ( ~ ( mem @ SV156 @ ( arr @ SV123 @ bool ) ) )
= $true )
| ( ( ! [SY456: $i] :
( ( ap @ ( f29 @ SV62 @ SV123 @ SV156 ) @ SY456 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ SV62 ) @ ( f26 @ SV123 @ SV62 @ SY456 ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV123 ) @ ( f28 @ SV62 @ SV123 @ SV156 @ SY456 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(783,plain,
! [SV64: $i,SV175: $i] :
( ( ( ~ ( ne @ SV175 )
| ( ( c_2Ebool_2ETYPE__DEFINITION @ SV64 @ SV175 )
= ( f30 @ SV175 @ SV64 ) ) )
= $true )
| ( ( ne @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(784,plain,
! [SV65: $i] :
( ( ( p @ SV65 )
= $true )
| ( ( ~ ( p @ SV65 ) )
= $true )
| ( ( mem @ SV65 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(785,plain,
! [SV66: $i,SV125: $i,SV158: $i] :
( ( ( ~ ( mem @ SV158 @ ( arr @ SV125 @ SV66 ) ) )
= $true )
| ( ( ! [SY457: $i] :
( ( ap @ ( f31 @ SV66 @ SV125 @ SV158 ) @ SY457 )
= ( ap @ SV158 @ SY457 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(786,plain,
! [SV67: $i,SV176: $i] :
( ( ( ~ ( ne @ SV176 )
| ! [SY461: $i] :
( ~ ( mem @ SY461 @ ( arr @ SV67 @ SV176 ) )
| ( ( f31 @ SV176 @ SV67 @ SY461 )
= SY461 ) ) )
= $true )
| ( ( ne @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(787,plain,
! [SV68: $i,SV177: $i] :
( ( ( ~ ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
| ! [SY462: $i] :
( ~ ( mem @ SY462 @ SV68 )
| ~ ( p @ ( ap @ SV177 @ SY462 ) )
| ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) ) ) )
= $true )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(788,plain,
! [SV69: $i,SV178: $i] :
( ( ( ~ ( ne @ SV178 )
| ( ( c_2Ebool_2Eliteral__case @ SV69 @ SV178 )
= ( f14 @ SV178 @ SV69 ) ) )
= $true )
| ( ( ne @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(789,plain,
! [SV70: $i,SV126: $i] :
( ( ( mem @ SV126 @ SV70 )
= $false )
| ( ( ! [SY425: $i] :
( ( ap @ ( f32 @ SV70 @ SV126 ) @ SY425 )
= ( ap @ SY425 @ SV126 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(790,plain,
! [SV73: $i,SV128: $i] :
( ( ( mem @ SV128 @ ( arr @ SV73 @ bool ) )
= $false )
| ( ( ! [SY426: $i] :
( ~ ( mem @ SY426 @ ( arr @ SV73 @ bool ) )
| ! [SY427: $i] :
( ( ap @ ( f34 @ SV73 @ SV128 @ SY426 ) @ SY427 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY427 ) @ SV128 ) ) @ ( ap @ SY426 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(791,plain,
! [SV74: $i,SV129: $i] :
( ( ( mem @ SV129 @ ( arr @ SV74 @ bool ) )
= $false )
| ( ( ! [SY428: $i] :
( ( ap @ ( f35 @ SV74 @ SV129 ) @ SY428 )
= ( ap @ ( c_2Ebool_2E_21 @ SV74 ) @ ( f34 @ SV74 @ SV129 @ SY428 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(792,plain,
! [SV77: $i,SV131: $i] :
( ( ( mem @ SV131 @ ( arr @ SV77 @ bool ) )
= $false )
| ( ( ! [SY429: $i] :
( ~ ( mem @ SY429 @ ( arr @ SV77 @ bool ) )
| ! [SY430: $i] :
( ( ap @ ( f37 @ SV77 @ SV131 @ SY429 ) @ SY430 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY430 ) @ SV131 ) ) @ ( ap @ SY429 @ SY430 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(793,plain,
! [SV78: $i,SV132: $i] :
( ( ( mem @ SV132 @ ( arr @ SV78 @ bool ) )
= $false )
| ( ( ! [SY431: $i] :
( ( ap @ ( f38 @ SV78 @ SV132 ) @ SY431 )
= ( ap @ ( c_2Ebool_2E_3F @ SV78 ) @ ( f37 @ SV78 @ SV132 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(794,plain,
! [SV81: $i,SV134: $i] :
( ( ( mem @ SV134 @ ( arr @ SV81 @ bool ) )
= $false )
| ( ( ! [SY432: $i] :
( ( ap @ ( f40 @ SV81 @ SV134 ) @ SY432 )
= ( ap @ SV134 @ SY432 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(795,plain,
! [SV82: $i,SV135: $i] :
( ( ( mem @ SV135 @ ( arr @ SV82 @ bool ) )
= $false )
| ( ( ! [SY433: $i] :
( ~ ( mem @ SY433 @ SV82 )
| ! [SY434: $i] :
( ( ap @ ( f41 @ SV82 @ SV135 @ SY433 ) @ SY434 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SY433 ) ) @ ( ap @ SV135 @ SY434 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SY433 ) @ SY434 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(796,plain,
! [SV83: $i,SV136: $i] :
( ( ( mem @ SV136 @ ( arr @ SV83 @ bool ) )
= $false )
| ( ( ! [SY435: $i] :
( ~ ( mem @ SY435 @ ( arr @ SV83 @ bool ) )
| ! [SY436: $i] :
( ( ap @ ( f42 @ SV83 @ SV136 @ SY435 ) @ SY436 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SY435 ) @ ( f41 @ SV83 @ SV136 @ SY436 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(797,plain,
! [SV84: $i,SV137: $i] :
( ( ( mem @ SV137 @ ( arr @ SV84 @ bool ) )
= $false )
| ( ( ! [SY437: $i] :
( ( ap @ ( f43 @ SV84 @ SV137 ) @ SY437 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ SV84 ) @ SV137 ) @ ( f40 @ SV84 @ SY437 ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV84 ) @ SV137 ) @ ( f42 @ SV84 @ SY437 @ SV137 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(798,plain,
! [SV87: $i,SV139: $i] :
( ( ( mem @ SV139 @ ( arr @ SV87 @ bool ) )
= $false )
| ( ( ! [SY438: $i] :
( ( ap @ ( f45 @ SV87 @ SV139 ) @ SY438 )
= ( ap @ ( c_2Emin_2E_40 @ SV87 ) @ ( f37 @ SV87 @ SV139 @ SY438 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(799,plain,
! [SV91: $i] :
( ( ( ~ ~ ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
| ~ ! [SY361: $i] :
( ~ ( mem @ SY361 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY361 ) )
| ~ ( p @ SV91 )
| ( p @ SY361 ) ) )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(800,plain,
! [SV92: $i] :
( ( ( ~ ! [SY362: $i] :
( ~ ( mem @ SY362 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SY362 )
| ( SV92 = SY362 ) )
| ~ ! [SY363: $i] :
( ~ ( mem @ SY363 @ bool )
| ( p @ SV92 )
| ( p @ SY363 )
| ( SV92 = SY363 ) ) )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(801,plain,
( ( ~ ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(802,plain,
( ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ sK1_V0f ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(803,plain,
! [SV179: $i] :
( ( ~ ( mem @ SV179 @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SV179 ) )
| ~ ( p @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(804,plain,
! [SV180: $i] :
( ( ~ ( mem @ SV180 @ bool )
| ( p @ SV180 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(805,plain,
! [SV93: $i] :
( ( ( ~ ! [SY364: $i] :
( ~ ( mem @ SY364 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SY364 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SY364 @ ( sK4_X @ SY364 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY364 ) ) )
| ~ ! [SY365: $i] :
( ~ ( mem @ SY365 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY365 ) )
| ! [SY366: $i] :
( ~ ( mem @ SY366 @ SV93 )
| ( p @ ( ap @ SY365 @ SY366 ) ) ) ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(806,plain,
( ( p @ sK2_V0t )
= $false ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(807,plain,
! [SV94: $i] :
( ( ( ~ ! [SY367: $i] :
( ~ ( mem @ SY367 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SY367 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY367 ) ) )
| ~ ~ ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) ) )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(808,plain,
! [SV95: $i] :
( ( ( ~ ! [SY370: $i] :
( ~ ( mem @ SY370 @ ( arr @ SV95 @ bool ) )
| ! [SY371: $i] :
( ~ ( mem @ SY371 @ SV95 )
| ~ ( p @ ( ap @ SY370 @ SY371 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY370 ) ) )
| ~ ! [SY372: $i] :
( ~ ( mem @ SY372 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY372 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SY372 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SY372 @ ( sK3_X @ SY372 @ SV95 ) ) ) ) ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(809,plain,
! [SV96: $i] :
( ( ( ~ ! [SY373: $i] :
( ~ ( mem @ SY373 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY373 ) )
| ( p @ SV96 )
| ( p @ SY373 ) )
| ~ ~ ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) ) )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(810,plain,
! [SV141: $i,SV97: $i,SV159: $i] :
( ( ( ~ ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) ) )
= $true )
| ( ( ! [SY458: $i] :
( ~ ( mem @ SY458 @ ( arr @ SV97 @ SV141 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SY458 @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) ) ) ) )
| ( SV159 = SY458 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(811,plain,
! [SV98: $i,SV181: $i] :
( ( ( ~ ( mem @ SV181 @ SV98 )
| ~ ( ~ ! [SY463: $i] :
( ~ ( mem @ SY463 @ SV98 )
| ( SV181 != SY463 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY463 ) ) )
| ~ ! [SY464: $i] :
( ~ ( mem @ SY464 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY464 ) )
| ( SV181 = SY464 ) ) ) )
= $true )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(812,plain,
! [SV1: $i,SV160: $i] :
( ( ( ~ ( ne @ SV160 ) )
= $true )
| ( ( ne @ ( arr @ SV1 @ SV160 ) )
= $true )
| ( ( ne @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(813,plain,
! [SV99: $i,SV2: $i,SV142: $i] :
( ( ( mem @ SV142 @ ( arr @ SV2 @ SV99 ) )
= $false )
| ( ( ! [SY441: $i] :
( ~ ( mem @ SY441 @ SV2 )
| ( mem @ ( ap @ SV142 @ SY441 ) @ SV99 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(814,plain,
! [SV100: $i,SV3: $i,SV143: $i] :
( ( ( mem @ SV143 @ SV3 )
= $false )
| ( ( ( ap @ ( k @ SV3 @ SV100 ) @ SV143 )
= SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(815,plain,
! [SV15: $i,SV161: $i] :
( ( ( ~ ( ne @ SV161 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ELET @ SV15 @ SV161 ) @ ( arr @ ( arr @ SV15 @ SV161 ) @ ( arr @ SV15 @ SV161 ) ) )
= $true )
| ( ( ne @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(816,plain,
! [SV16: $i,SV162: $i] :
( ( ( ~ ( ne @ SV162 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2EONE__ONE @ SV16 @ SV162 ) @ ( arr @ ( arr @ SV16 @ SV162 ) @ bool ) )
= $true )
| ( ( ne @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(817,plain,
! [SV17: $i,SV163: $i] :
( ( ( ~ ( ne @ SV163 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2EONTO @ SV17 @ SV163 ) @ ( arr @ ( arr @ SV17 @ SV163 ) @ bool ) )
= $true )
| ( ( ne @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(818,plain,
! [SV18: $i,SV164: $i] :
( ( ( ~ ( ne @ SV164 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ SV18 @ SV164 ) @ ( arr @ ( arr @ SV18 @ bool ) @ ( arr @ ( arr @ SV18 @ SV164 ) @ ( arr @ SV18 @ SV164 ) ) ) )
= $true )
| ( ( ne @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(819,plain,
! [SV23: $i,SV165: $i] :
( ( ( ~ ( ne @ SV165 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ SV23 @ SV165 ) @ ( arr @ ( arr @ SV23 @ bool ) @ ( arr @ ( arr @ SV165 @ SV23 ) @ bool ) ) )
= $true )
| ( ( ne @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(820,plain,
! [SV24: $i,SV166: $i] :
( ( ( ~ ( ne @ SV166 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2Eitself__case @ SV24 @ SV166 ) @ ( arr @ ( ty_2Ebool_2Eitself @ SV24 ) @ ( arr @ SV166 @ SV166 ) ) )
= $true )
| ( ( ne @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(821,plain,
! [SV25: $i,SV167: $i] :
( ( ( ~ ( ne @ SV167 ) )
= $true )
| ( ( mem @ ( c_2Ebool_2Eliteral__case @ SV25 @ SV167 ) @ ( arr @ ( arr @ SV25 @ SV167 ) @ ( arr @ SV25 @ SV167 ) ) )
= $true )
| ( ( ne @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(822,plain,
! [SV31: $i,SV168: $i] :
( ( ( ~ ( mem @ SV168 @ bool ) )
= $true )
| ( ( ! [SY459: $i] :
( ( ap @ ( f3 @ SV31 @ SV168 ) @ SY459 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV168 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SY459 ) ) ) @ SY459 ) ) )
= $true )
| ( ( mem @ SV31 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(823,plain,
! [SV34: $i,SV170: $i] :
( ( ( ~ ( mem @ SV170 @ bool ) )
= $true )
| ( ( ! [SY460: $i] :
( ( ap @ ( f6 @ SV34 @ SV170 ) @ SY460 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SY460 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV170 ) @ SY460 ) ) @ SY460 ) ) ) )
= $true )
| ( ( mem @ SV34 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(824,plain,
! [SV104: $i,SV38: $i,SV182: $i] :
( ( ( ~ ( mem @ SV182 @ SV38 )
| ! [SY465: $i] :
( ( ap @ ( f10 @ SV38 @ SV104 @ SV182 ) @ SY465 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SV182 ) ) @ ( ap @ SV104 @ SY465 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SV182 ) @ SY465 ) ) ) )
= $true )
| ( ( mem @ SV104 @ ( arr @ SV38 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(825,plain,
! [SV183: $i,SV105: $i,SV39: $i] :
( ( ( ( ap @ ( f11 @ SV39 @ SV105 ) @ SV183 )
= ( ap @ ( c_2Ebool_2E_21 @ SV39 ) @ ( f10 @ SV39 @ SV105 @ SV183 ) ) )
= $true )
| ( ( mem @ SV105 @ ( arr @ SV39 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(826,plain,
! [SV42: $i,SV107: $i,SV144: $i] :
( ( ( mem @ SV144 @ ( arr @ SV107 @ SV42 ) )
= $false )
| ( ( ! [SY442: $i] :
( ( ap @ ( f13 @ SV42 @ SV107 @ SV144 ) @ SY442 )
= ( ap @ SV144 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(827,plain,
! [SV44: $i,SV172: $i] :
( ( ( ~ ( ne @ SV172 ) )
= $true )
| ( ( ( c_2Ebool_2ELET @ SV44 @ SV172 )
= ( f14 @ SV172 @ SV44 ) )
= $true )
| ( ( ne @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(828,plain,
! [SV109: $i,SV45: $i,SV184: $i] :
( ( ( ~ ( mem @ SV184 @ SV45 )
| ! [SY466: $i] :
( ~ ( mem @ SY466 @ bool )
| ! [SY467: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SY466 ) @ SY467 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY466 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY467 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY466 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY467 ) @ SV184 ) ) ) ) ) )
= $true )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(829,plain,
! [SV110: $i,SV46: $i,SV185: $i] :
( ( ( ~ ( mem @ SV185 @ SV46 )
| ! [SY468: $i] :
( ( ap @ ( f16 @ SV46 @ SV110 @ SV185 ) @ SY468 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SV185 @ SY468 @ SV110 ) ) ) )
= $true )
| ( ( mem @ SV110 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(830,plain,
! [SV186: $i,SV111: $i,SV47: $i] :
( ( ( ( ap @ ( f17 @ SV47 @ SV111 ) @ SV186 )
= ( f16 @ SV47 @ SV111 @ SV186 ) )
= $true )
| ( ( mem @ SV111 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(831,plain,
! [SV50: $i,SV113: $i,SV146: $i] :
( ( ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) )
= $false )
| ( ( ! [SY443: $i] :
( ~ ( mem @ SY443 @ SV113 )
| ! [SY444: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SY443 ) @ SY444 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SY443 ) ) @ ( ap @ SV146 @ SY444 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SY443 ) @ SY444 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(832,plain,
! [SV51: $i,SV114: $i,SV147: $i] :
( ( ( mem @ SV147 @ ( arr @ SV114 @ SV51 ) )
= $false )
| ( ( ! [SY445: $i] :
( ( ap @ ( f20 @ SV51 @ SV114 @ SV147 ) @ SY445 )
= ( ap @ ( c_2Ebool_2E_21 @ SV114 ) @ ( f19 @ SV51 @ SV114 @ SV147 @ SY445 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(833,plain,
! [SV53: $i,SV173: $i] :
( ( ( ~ ( ne @ SV173 ) )
= $true )
| ( ( ( c_2Ebool_2EONE__ONE @ SV53 @ SV173 )
= ( f21 @ SV173 @ SV53 ) )
= $true )
| ( ( ne @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(834,plain,
! [SV54: $i,SV116: $i,SV149: $i] :
( ( ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) )
= $false )
| ( ( ! [SY446: $i] :
( ~ ( mem @ SY446 @ SV54 )
| ! [SY447: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SY446 ) @ SY447 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SY446 ) @ ( ap @ SV149 @ SY447 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(835,plain,
! [SV117: $i,SV55: $i,SV150: $i] :
( ( ( mem @ SV150 @ ( arr @ SV55 @ SV117 ) )
= $false )
| ( ( ! [SY448: $i] :
( ( ap @ ( f23 @ SV55 @ SV117 @ SV150 ) @ SY448 )
= ( ap @ ( c_2Ebool_2E_3F @ SV55 ) @ ( f22 @ SV117 @ SV55 @ SV150 @ SY448 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(836,plain,
! [SV57: $i,SV174: $i] :
( ( ( ~ ( ne @ SV174 ) )
= $true )
| ( ( ( c_2Ebool_2EONTO @ SV57 @ SV174 )
= ( f24 @ SV57 @ SV174 ) )
= $true )
| ( ( ne @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(837,plain,
! [SV58: $i,SV119: $i,SV152: $i] :
( ( ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) )
= $false )
| ( ( ! [SY449: $i] :
( ~ ( mem @ SY449 @ SV119 )
| ! [SY450: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SY449 ) @ SY450 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SY449 ) ) @ ( ap @ SV152 @ SY450 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SY449 ) @ SY450 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(838,plain,
! [SV59: $i,SV120: $i,SV153: $i] :
( ( ( mem @ SV153 @ ( arr @ SV120 @ SV59 ) )
= $false )
| ( ( ! [SY451: $i] :
( ( ap @ ( f26 @ SV59 @ SV120 @ SV153 ) @ SY451 )
= ( ap @ ( c_2Ebool_2E_21 @ SV120 ) @ ( f25 @ SV59 @ SV120 @ SV153 @ SY451 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(839,plain,
! [SV60: $i,SV121: $i,SV154: $i] :
( ( ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) )
= $false )
| ( ( ! [SY452: $i] :
( ~ ( mem @ SY452 @ SV60 )
| ! [SY453: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SY452 ) @ SY453 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SY452 ) @ ( ap @ SV154 @ SY453 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(840,plain,
! [SV61: $i,SV122: $i,SV155: $i] :
( ( ( mem @ SV155 @ ( arr @ SV122 @ bool ) )
= $false )
| ( ( ! [SY454: $i] :
( ~ ( mem @ SY454 @ ( arr @ SV61 @ SV122 ) )
| ! [SY455: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SY454 ) @ SY455 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SY455 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SY454 @ SY455 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(841,plain,
! [SV62: $i,SV123: $i,SV156: $i] :
( ( ( mem @ SV156 @ ( arr @ SV123 @ bool ) )
= $false )
| ( ( ! [SY456: $i] :
( ( ap @ ( f29 @ SV62 @ SV123 @ SV156 ) @ SY456 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ SV62 ) @ ( f26 @ SV123 @ SV62 @ SY456 ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV123 ) @ ( f28 @ SV62 @ SV123 @ SV156 @ SY456 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(842,plain,
! [SV64: $i,SV175: $i] :
( ( ( ~ ( ne @ SV175 ) )
= $true )
| ( ( ( c_2Ebool_2ETYPE__DEFINITION @ SV64 @ SV175 )
= ( f30 @ SV175 @ SV64 ) )
= $true )
| ( ( ne @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(843,plain,
! [SV65: $i] :
( ( ( p @ SV65 )
= $false )
| ( ( p @ SV65 )
= $true )
| ( ( mem @ SV65 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(844,plain,
! [SV66: $i,SV125: $i,SV158: $i] :
( ( ( mem @ SV158 @ ( arr @ SV125 @ SV66 ) )
= $false )
| ( ( ! [SY457: $i] :
( ( ap @ ( f31 @ SV66 @ SV125 @ SV158 ) @ SY457 )
= ( ap @ SV158 @ SY457 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(845,plain,
! [SV67: $i,SV176: $i] :
( ( ( ~ ( ne @ SV176 ) )
= $true )
| ( ( ! [SY461: $i] :
( ~ ( mem @ SY461 @ ( arr @ SV67 @ SV176 ) )
| ( ( f31 @ SV176 @ SV67 @ SY461 )
= SY461 ) ) )
= $true )
| ( ( ne @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(846,plain,
! [SV68: $i,SV177: $i] :
( ( ( ~ ( mem @ SV177 @ ( arr @ SV68 @ bool ) ) )
= $true )
| ( ( ! [SY462: $i] :
( ~ ( mem @ SY462 @ SV68 )
| ~ ( p @ ( ap @ SV177 @ SY462 ) )
| ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) ) ) )
= $true )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(847,plain,
! [SV69: $i,SV178: $i] :
( ( ( ~ ( ne @ SV178 ) )
= $true )
| ( ( ( c_2Ebool_2Eliteral__case @ SV69 @ SV178 )
= ( f14 @ SV178 @ SV69 ) )
= $true )
| ( ( ne @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(848,plain,
! [SV187: $i,SV126: $i,SV70: $i] :
( ( ( ( ap @ ( f32 @ SV70 @ SV126 ) @ SV187 )
= ( ap @ SV187 @ SV126 ) )
= $true )
| ( ( mem @ SV126 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(849,plain,
! [SV128: $i,SV73: $i,SV188: $i] :
( ( ( ~ ( mem @ SV188 @ ( arr @ SV73 @ bool ) )
| ! [SY469: $i] :
( ( ap @ ( f34 @ SV73 @ SV128 @ SV188 ) @ SY469 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY469 ) @ SV128 ) ) @ ( ap @ SV188 @ SY469 ) ) ) )
= $true )
| ( ( mem @ SV128 @ ( arr @ SV73 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(850,plain,
! [SV189: $i,SV129: $i,SV74: $i] :
( ( ( ( ap @ ( f35 @ SV74 @ SV129 ) @ SV189 )
= ( ap @ ( c_2Ebool_2E_21 @ SV74 ) @ ( f34 @ SV74 @ SV129 @ SV189 ) ) )
= $true )
| ( ( mem @ SV129 @ ( arr @ SV74 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(851,plain,
! [SV131: $i,SV77: $i,SV190: $i] :
( ( ( ~ ( mem @ SV190 @ ( arr @ SV77 @ bool ) )
| ! [SY470: $i] :
( ( ap @ ( f37 @ SV77 @ SV131 @ SV190 ) @ SY470 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY470 ) @ SV131 ) ) @ ( ap @ SV190 @ SY470 ) ) ) )
= $true )
| ( ( mem @ SV131 @ ( arr @ SV77 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(852,plain,
! [SV191: $i,SV132: $i,SV78: $i] :
( ( ( ( ap @ ( f38 @ SV78 @ SV132 ) @ SV191 )
= ( ap @ ( c_2Ebool_2E_3F @ SV78 ) @ ( f37 @ SV78 @ SV132 @ SV191 ) ) )
= $true )
| ( ( mem @ SV132 @ ( arr @ SV78 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(853,plain,
! [SV192: $i,SV134: $i,SV81: $i] :
( ( ( ( ap @ ( f40 @ SV81 @ SV134 ) @ SV192 )
= ( ap @ SV134 @ SV192 ) )
= $true )
| ( ( mem @ SV134 @ ( arr @ SV81 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(854,plain,
! [SV135: $i,SV82: $i,SV193: $i] :
( ( ( ~ ( mem @ SV193 @ SV82 )
| ! [SY471: $i] :
( ( ap @ ( f41 @ SV82 @ SV135 @ SV193 ) @ SY471 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SV193 ) ) @ ( ap @ SV135 @ SY471 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SV193 ) @ SY471 ) ) ) )
= $true )
| ( ( mem @ SV135 @ ( arr @ SV82 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(855,plain,
! [SV136: $i,SV83: $i,SV194: $i] :
( ( ( ~ ( mem @ SV194 @ ( arr @ SV83 @ bool ) )
| ! [SY472: $i] :
( ( ap @ ( f42 @ SV83 @ SV136 @ SV194 ) @ SY472 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SV194 ) @ ( f41 @ SV83 @ SV136 @ SY472 ) ) ) )
= $true )
| ( ( mem @ SV136 @ ( arr @ SV83 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(856,plain,
! [SV195: $i,SV137: $i,SV84: $i] :
( ( ( ( ap @ ( f43 @ SV84 @ SV137 ) @ SV195 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ SV84 ) @ SV137 ) @ ( f40 @ SV84 @ SV195 ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV84 ) @ SV137 ) @ ( f42 @ SV84 @ SV195 @ SV137 ) ) ) )
= $true )
| ( ( mem @ SV137 @ ( arr @ SV84 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(857,plain,
! [SV196: $i,SV139: $i,SV87: $i] :
( ( ( ( ap @ ( f45 @ SV87 @ SV139 ) @ SV196 )
= ( ap @ ( c_2Emin_2E_40 @ SV87 ) @ ( f37 @ SV87 @ SV139 @ SV196 ) ) )
= $true )
| ( ( mem @ SV139 @ ( arr @ SV87 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(858,plain,
! [SV91: $i] :
( ( ( ~ ~ ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) ) )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(859,plain,
! [SV91: $i] :
( ( ( ~ ! [SY361: $i] :
( ~ ( mem @ SY361 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY361 ) )
| ~ ( p @ SV91 )
| ( p @ SY361 ) ) )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(860,plain,
! [SV92: $i] :
( ( ( ~ ! [SY362: $i] :
( ~ ( mem @ SY362 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SY362 )
| ( SV92 = SY362 ) ) )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(861,plain,
! [SV92: $i] :
( ( ( ~ ! [SY363: $i] :
( ~ ( mem @ SY363 @ bool )
| ( p @ SV92 )
| ( p @ SY363 )
| ( SV92 = SY363 ) ) )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(862,plain,
( ( ~ ( mem @ sK1_V0f @ ( arr @ ind @ ind ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(863,plain,
( ( ~ ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(864,plain,
! [SV179: $i] :
( ( ( ~ ( mem @ SV179 @ bool ) )
= $true )
| ( ( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SV179 ) )
| ~ ( p @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(865,plain,
! [SV180: $i] :
( ( ( ~ ( mem @ SV180 @ bool ) )
= $true )
| ( ( ( p @ SV180 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SV180 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(866,plain,
! [SV93: $i] :
( ( ( ~ ! [SY364: $i] :
( ~ ( mem @ SY364 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SY364 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SY364 @ ( sK4_X @ SY364 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY364 ) ) ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(867,plain,
! [SV93: $i] :
( ( ( ~ ! [SY365: $i] :
( ~ ( mem @ SY365 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY365 ) )
| ! [SY366: $i] :
( ~ ( mem @ SY366 @ SV93 )
| ( p @ ( ap @ SY365 @ SY366 ) ) ) ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(868,plain,
! [SV94: $i] :
( ( ( ~ ! [SY367: $i] :
( ~ ( mem @ SY367 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SY367 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY367 ) ) ) )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(869,plain,
! [SV94: $i] :
( ( ( ~ ~ ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) ) )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(870,plain,
! [SV95: $i] :
( ( ( ~ ! [SY370: $i] :
( ~ ( mem @ SY370 @ ( arr @ SV95 @ bool ) )
| ! [SY371: $i] :
( ~ ( mem @ SY371 @ SV95 )
| ~ ( p @ ( ap @ SY370 @ SY371 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY370 ) ) ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(871,plain,
! [SV95: $i] :
( ( ( ~ ! [SY372: $i] :
( ~ ( mem @ SY372 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY372 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SY372 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SY372 @ ( sK3_X @ SY372 @ SV95 ) ) ) ) ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(872,plain,
! [SV96: $i] :
( ( ( ~ ! [SY373: $i] :
( ~ ( mem @ SY373 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY373 ) )
| ( p @ SV96 )
| ( p @ SY373 ) ) )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(873,plain,
! [SV96: $i] :
( ( ( ~ ~ ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) ) )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(874,plain,
! [SV141: $i,SV97: $i,SV159: $i] :
( ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( ! [SY458: $i] :
( ~ ( mem @ SY458 @ ( arr @ SV97 @ SV141 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SY458 @ ( sK5_X @ SY458 @ SV159 @ SV141 @ SV97 ) ) ) ) )
| ( SV159 = SY458 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(875,plain,
! [SV98: $i,SV181: $i] :
( ( ( ~ ( mem @ SV181 @ SV98 ) )
= $true )
| ( ( ~ ( ~ ! [SY463: $i] :
( ~ ( mem @ SY463 @ SV98 )
| ( SV181 != SY463 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY463 ) ) )
| ~ ! [SY464: $i] :
( ~ ( mem @ SY464 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY464 ) )
| ( SV181 = SY464 ) ) ) )
= $true )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(876,plain,
! [SV1: $i,SV160: $i] :
( ( ( ne @ SV160 )
= $false )
| ( ( ne @ ( arr @ SV1 @ SV160 ) )
= $true )
| ( ( ne @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(877,plain,
! [SV99: $i,SV142: $i,SV2: $i,SV197: $i] :
( ( ( ~ ( mem @ SV197 @ SV2 )
| ( mem @ ( ap @ SV142 @ SV197 ) @ SV99 ) )
= $true )
| ( ( mem @ SV142 @ ( arr @ SV2 @ SV99 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(878,plain,
! [SV15: $i,SV161: $i] :
( ( ( ne @ SV161 )
= $false )
| ( ( mem @ ( c_2Ebool_2ELET @ SV15 @ SV161 ) @ ( arr @ ( arr @ SV15 @ SV161 ) @ ( arr @ SV15 @ SV161 ) ) )
= $true )
| ( ( ne @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(879,plain,
! [SV16: $i,SV162: $i] :
( ( ( ne @ SV162 )
= $false )
| ( ( mem @ ( c_2Ebool_2EONE__ONE @ SV16 @ SV162 ) @ ( arr @ ( arr @ SV16 @ SV162 ) @ bool ) )
= $true )
| ( ( ne @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(880,plain,
! [SV17: $i,SV163: $i] :
( ( ( ne @ SV163 )
= $false )
| ( ( mem @ ( c_2Ebool_2EONTO @ SV17 @ SV163 ) @ ( arr @ ( arr @ SV17 @ SV163 ) @ bool ) )
= $true )
| ( ( ne @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(881,plain,
! [SV18: $i,SV164: $i] :
( ( ( ne @ SV164 )
= $false )
| ( ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ SV18 @ SV164 ) @ ( arr @ ( arr @ SV18 @ bool ) @ ( arr @ ( arr @ SV18 @ SV164 ) @ ( arr @ SV18 @ SV164 ) ) ) )
= $true )
| ( ( ne @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(882,plain,
! [SV23: $i,SV165: $i] :
( ( ( ne @ SV165 )
= $false )
| ( ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ SV23 @ SV165 ) @ ( arr @ ( arr @ SV23 @ bool ) @ ( arr @ ( arr @ SV165 @ SV23 ) @ bool ) ) )
= $true )
| ( ( ne @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(883,plain,
! [SV24: $i,SV166: $i] :
( ( ( ne @ SV166 )
= $false )
| ( ( mem @ ( c_2Ebool_2Eitself__case @ SV24 @ SV166 ) @ ( arr @ ( ty_2Ebool_2Eitself @ SV24 ) @ ( arr @ SV166 @ SV166 ) ) )
= $true )
| ( ( ne @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(884,plain,
! [SV25: $i,SV167: $i] :
( ( ( ne @ SV167 )
= $false )
| ( ( mem @ ( c_2Ebool_2Eliteral__case @ SV25 @ SV167 ) @ ( arr @ ( arr @ SV25 @ SV167 ) @ ( arr @ SV25 @ SV167 ) ) )
= $true )
| ( ( ne @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(885,plain,
! [SV31: $i,SV168: $i] :
( ( ( mem @ SV168 @ bool )
= $false )
| ( ( ! [SY459: $i] :
( ( ap @ ( f3 @ SV31 @ SV168 ) @ SY459 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV168 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SY459 ) ) ) @ SY459 ) ) )
= $true )
| ( ( mem @ SV31 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(886,plain,
! [SV34: $i,SV170: $i] :
( ( ( mem @ SV170 @ bool )
= $false )
| ( ( ! [SY460: $i] :
( ( ap @ ( f6 @ SV34 @ SV170 ) @ SY460 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SY460 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV170 ) @ SY460 ) ) @ SY460 ) ) ) )
= $true )
| ( ( mem @ SV34 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(887,plain,
! [SV104: $i,SV38: $i,SV182: $i] :
( ( ( ~ ( mem @ SV182 @ SV38 ) )
= $true )
| ( ( ! [SY465: $i] :
( ( ap @ ( f10 @ SV38 @ SV104 @ SV182 ) @ SY465 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SV182 ) ) @ ( ap @ SV104 @ SY465 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SV182 ) @ SY465 ) ) ) )
= $true )
| ( ( mem @ SV104 @ ( arr @ SV38 @ bool ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(888,plain,
! [SV198: $i,SV144: $i,SV107: $i,SV42: $i] :
( ( ( ( ap @ ( f13 @ SV42 @ SV107 @ SV144 ) @ SV198 )
= ( ap @ SV144 @ SV198 ) )
= $true )
| ( ( mem @ SV144 @ ( arr @ SV107 @ SV42 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(889,plain,
! [SV44: $i,SV172: $i] :
( ( ( ne @ SV172 )
= $false )
| ( ( ( c_2Ebool_2ELET @ SV44 @ SV172 )
= ( f14 @ SV172 @ SV44 ) )
= $true )
| ( ( ne @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(890,plain,
! [SV109: $i,SV45: $i,SV184: $i] :
( ( ( ~ ( mem @ SV184 @ SV45 ) )
= $true )
| ( ( ! [SY466: $i] :
( ~ ( mem @ SY466 @ bool )
| ! [SY467: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SY466 ) @ SY467 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY466 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY467 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY466 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY467 ) @ SV184 ) ) ) ) ) )
= $true )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(891,plain,
! [SV110: $i,SV46: $i,SV185: $i] :
( ( ( ~ ( mem @ SV185 @ SV46 ) )
= $true )
| ( ( ! [SY468: $i] :
( ( ap @ ( f16 @ SV46 @ SV110 @ SV185 ) @ SY468 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SV185 @ SY468 @ SV110 ) ) ) )
= $true )
| ( ( mem @ SV110 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(892,plain,
! [SV146: $i,SV50: $i,SV113: $i,SV199: $i] :
( ( ( ~ ( mem @ SV199 @ SV113 )
| ! [SY473: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SV199 ) @ SY473 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SV199 ) ) @ ( ap @ SV146 @ SY473 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SV199 ) @ SY473 ) ) ) )
= $true )
| ( ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(893,plain,
! [SV200: $i,SV147: $i,SV114: $i,SV51: $i] :
( ( ( ( ap @ ( f20 @ SV51 @ SV114 @ SV147 ) @ SV200 )
= ( ap @ ( c_2Ebool_2E_21 @ SV114 ) @ ( f19 @ SV51 @ SV114 @ SV147 @ SV200 ) ) )
= $true )
| ( ( mem @ SV147 @ ( arr @ SV114 @ SV51 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(894,plain,
! [SV53: $i,SV173: $i] :
( ( ( ne @ SV173 )
= $false )
| ( ( ( c_2Ebool_2EONE__ONE @ SV53 @ SV173 )
= ( f21 @ SV173 @ SV53 ) )
= $true )
| ( ( ne @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(895,plain,
! [SV149: $i,SV116: $i,SV54: $i,SV201: $i] :
( ( ( ~ ( mem @ SV201 @ SV54 )
| ! [SY474: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SV201 ) @ SY474 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SV201 ) @ ( ap @ SV149 @ SY474 ) ) ) )
= $true )
| ( ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(896,plain,
! [SV202: $i,SV150: $i,SV117: $i,SV55: $i] :
( ( ( ( ap @ ( f23 @ SV55 @ SV117 @ SV150 ) @ SV202 )
= ( ap @ ( c_2Ebool_2E_3F @ SV55 ) @ ( f22 @ SV117 @ SV55 @ SV150 @ SV202 ) ) )
= $true )
| ( ( mem @ SV150 @ ( arr @ SV55 @ SV117 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(897,plain,
! [SV57: $i,SV174: $i] :
( ( ( ne @ SV174 )
= $false )
| ( ( ( c_2Ebool_2EONTO @ SV57 @ SV174 )
= ( f24 @ SV57 @ SV174 ) )
= $true )
| ( ( ne @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(898,plain,
! [SV152: $i,SV58: $i,SV119: $i,SV203: $i] :
( ( ( ~ ( mem @ SV203 @ SV119 )
| ! [SY475: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SV203 ) @ SY475 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SV203 ) ) @ ( ap @ SV152 @ SY475 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SV203 ) @ SY475 ) ) ) )
= $true )
| ( ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(899,plain,
! [SV204: $i,SV153: $i,SV120: $i,SV59: $i] :
( ( ( ( ap @ ( f26 @ SV59 @ SV120 @ SV153 ) @ SV204 )
= ( ap @ ( c_2Ebool_2E_21 @ SV120 ) @ ( f25 @ SV59 @ SV120 @ SV153 @ SV204 ) ) )
= $true )
| ( ( mem @ SV153 @ ( arr @ SV120 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(900,plain,
! [SV154: $i,SV121: $i,SV60: $i,SV205: $i] :
( ( ( ~ ( mem @ SV205 @ SV60 )
| ! [SY476: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SV205 ) @ SY476 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SV205 ) @ ( ap @ SV154 @ SY476 ) ) ) )
= $true )
| ( ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(901,plain,
! [SV155: $i,SV122: $i,SV61: $i,SV206: $i] :
( ( ( ~ ( mem @ SV206 @ ( arr @ SV61 @ SV122 ) )
| ! [SY477: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SV206 ) @ SY477 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SY477 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SV206 @ SY477 ) ) ) ) )
= $true )
| ( ( mem @ SV155 @ ( arr @ SV122 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(902,plain,
! [SV207: $i,SV156: $i,SV123: $i,SV62: $i] :
( ( ( ( ap @ ( f29 @ SV62 @ SV123 @ SV156 ) @ SV207 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_21 @ SV62 ) @ ( f26 @ SV123 @ SV62 @ SV207 ) ) ) @ ( ap @ ( c_2Ebool_2E_21 @ SV123 ) @ ( f28 @ SV62 @ SV123 @ SV156 @ SV207 ) ) ) )
= $true )
| ( ( mem @ SV156 @ ( arr @ SV123 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(903,plain,
! [SV64: $i,SV175: $i] :
( ( ( ne @ SV175 )
= $false )
| ( ( ( c_2Ebool_2ETYPE__DEFINITION @ SV64 @ SV175 )
= ( f30 @ SV175 @ SV64 ) )
= $true )
| ( ( ne @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(904,plain,
! [SV208: $i,SV158: $i,SV125: $i,SV66: $i] :
( ( ( ( ap @ ( f31 @ SV66 @ SV125 @ SV158 ) @ SV208 )
= ( ap @ SV158 @ SV208 ) )
= $true )
| ( ( mem @ SV158 @ ( arr @ SV125 @ SV66 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(905,plain,
! [SV67: $i,SV176: $i] :
( ( ( ne @ SV176 )
= $false )
| ( ( ! [SY461: $i] :
( ~ ( mem @ SY461 @ ( arr @ SV67 @ SV176 ) )
| ( ( f31 @ SV176 @ SV67 @ SY461 )
= SY461 ) ) )
= $true )
| ( ( ne @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(906,plain,
! [SV68: $i,SV177: $i] :
( ( ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
= $false )
| ( ( ! [SY462: $i] :
( ~ ( mem @ SY462 @ SV68 )
| ~ ( p @ ( ap @ SV177 @ SY462 ) )
| ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) ) ) )
= $true )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(907,plain,
! [SV69: $i,SV178: $i] :
( ( ( ne @ SV178 )
= $false )
| ( ( ( c_2Ebool_2Eliteral__case @ SV69 @ SV178 )
= ( f14 @ SV178 @ SV69 ) )
= $true )
| ( ( ne @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(908,plain,
! [SV128: $i,SV73: $i,SV188: $i] :
( ( ( ~ ( mem @ SV188 @ ( arr @ SV73 @ bool ) ) )
= $true )
| ( ( ! [SY469: $i] :
( ( ap @ ( f34 @ SV73 @ SV128 @ SV188 ) @ SY469 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY469 ) @ SV128 ) ) @ ( ap @ SV188 @ SY469 ) ) ) )
= $true )
| ( ( mem @ SV128 @ ( arr @ SV73 @ bool ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(909,plain,
! [SV131: $i,SV77: $i,SV190: $i] :
( ( ( ~ ( mem @ SV190 @ ( arr @ SV77 @ bool ) ) )
= $true )
| ( ( ! [SY470: $i] :
( ( ap @ ( f37 @ SV77 @ SV131 @ SV190 ) @ SY470 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY470 ) @ SV131 ) ) @ ( ap @ SV190 @ SY470 ) ) ) )
= $true )
| ( ( mem @ SV131 @ ( arr @ SV77 @ bool ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(910,plain,
! [SV135: $i,SV82: $i,SV193: $i] :
( ( ( ~ ( mem @ SV193 @ SV82 ) )
= $true )
| ( ( ! [SY471: $i] :
( ( ap @ ( f41 @ SV82 @ SV135 @ SV193 ) @ SY471 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SV193 ) ) @ ( ap @ SV135 @ SY471 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SV193 ) @ SY471 ) ) ) )
= $true )
| ( ( mem @ SV135 @ ( arr @ SV82 @ bool ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(911,plain,
! [SV136: $i,SV83: $i,SV194: $i] :
( ( ( ~ ( mem @ SV194 @ ( arr @ SV83 @ bool ) ) )
= $true )
| ( ( ! [SY472: $i] :
( ( ap @ ( f42 @ SV83 @ SV136 @ SV194 ) @ SY472 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SV194 ) @ ( f41 @ SV83 @ SV136 @ SY472 ) ) ) )
= $true )
| ( ( mem @ SV136 @ ( arr @ SV83 @ bool ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(912,plain,
! [SV91: $i] :
( ( ( ~ ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(913,plain,
! [SV91: $i] :
( ( ( ! [SY361: $i] :
( ~ ( mem @ SY361 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY361 ) )
| ~ ( p @ SV91 )
| ( p @ SY361 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(914,plain,
! [SV92: $i] :
( ( ( ! [SY362: $i] :
( ~ ( mem @ SY362 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SY362 )
| ( SV92 = SY362 ) ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(915,plain,
! [SV92: $i] :
( ( ( ! [SY363: $i] :
( ~ ( mem @ SY363 @ bool )
| ( p @ SV92 )
| ( p @ SY363 )
| ( SV92 = SY363 ) ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(916,plain,
( ( mem @ sK1_V0f @ ( arr @ ind @ ind ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(917,plain,
( ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ sK1_V0f ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(918,plain,
! [SV179: $i] :
( ( ( mem @ SV179 @ bool )
= $false )
| ( ( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SV179 ) )
| ~ ( p @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(919,plain,
! [SV180: $i] :
( ( ( mem @ SV180 @ bool )
= $false )
| ( ( ( p @ SV180 )
| ( p @ ( ap @ c_2Ebool_2E_7E @ SV180 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(920,plain,
! [SV93: $i] :
( ( ( ! [SY364: $i] :
( ~ ( mem @ SY364 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SY364 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SY364 @ ( sK4_X @ SY364 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY364 ) ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(921,plain,
! [SV93: $i] :
( ( ( ! [SY365: $i] :
( ~ ( mem @ SY365 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SY365 ) )
| ! [SY366: $i] :
( ~ ( mem @ SY366 @ SV93 )
| ( p @ ( ap @ SY365 @ SY366 ) ) ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(922,plain,
! [SV94: $i] :
( ( ( ! [SY367: $i] :
( ~ ( mem @ SY367 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SY367 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY367 ) ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(923,plain,
! [SV94: $i] :
( ( ( ~ ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(924,plain,
! [SV95: $i] :
( ( ( ! [SY370: $i] :
( ~ ( mem @ SY370 @ ( arr @ SV95 @ bool ) )
| ! [SY371: $i] :
( ~ ( mem @ SY371 @ SV95 )
| ~ ( p @ ( ap @ SY370 @ SY371 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY370 ) ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(925,plain,
! [SV95: $i] :
( ( ( ! [SY372: $i] :
( ~ ( mem @ SY372 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SY372 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SY372 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SY372 @ ( sK3_X @ SY372 @ SV95 ) ) ) ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(926,plain,
! [SV96: $i] :
( ( ( ! [SY373: $i] :
( ~ ( mem @ SY373 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY373 ) )
| ( p @ SV96 )
| ( p @ SY373 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(927,plain,
! [SV96: $i] :
( ( ( ~ ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(928,plain,
! [SV159: $i,SV141: $i,SV97: $i,SV209: $i] :
( ( ( ~ ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
| ~ ( ~ ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) ) ) )
| ( SV159 = SV209 ) )
= $true )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(929,plain,
! [SV98: $i,SV181: $i] :
( ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ~ ( ~ ! [SY463: $i] :
( ~ ( mem @ SY463 @ SV98 )
| ( SV181 != SY463 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY463 ) ) )
| ~ ! [SY464: $i] :
( ~ ( mem @ SY464 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY464 ) )
| ( SV181 = SY464 ) ) ) )
= $true )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(930,plain,
! [SV99: $i,SV142: $i,SV2: $i,SV197: $i] :
( ( ( ~ ( mem @ SV197 @ SV2 ) )
= $true )
| ( ( mem @ ( ap @ SV142 @ SV197 ) @ SV99 )
= $true )
| ( ( mem @ SV142 @ ( arr @ SV2 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(931,plain,
! [SV210: $i,SV168: $i,SV31: $i] :
( ( ( ( ap @ ( f3 @ SV31 @ SV168 ) @ SV210 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV168 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV31 ) @ SV210 ) ) ) @ SV210 ) )
= $true )
| ( ( mem @ SV168 @ bool )
= $false )
| ( ( mem @ SV31 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(932,plain,
! [SV211: $i,SV170: $i,SV34: $i] :
( ( ( ( ap @ ( f6 @ SV34 @ SV170 ) @ SV211 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV34 ) @ SV211 ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV170 ) @ SV211 ) ) @ SV211 ) ) )
= $true )
| ( ( mem @ SV170 @ bool )
= $false )
| ( ( mem @ SV34 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(933,plain,
! [SV104: $i,SV38: $i,SV182: $i] :
( ( ( mem @ SV182 @ SV38 )
= $false )
| ( ( ! [SY465: $i] :
( ( ap @ ( f10 @ SV38 @ SV104 @ SV182 ) @ SY465 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SV182 ) ) @ ( ap @ SV104 @ SY465 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SV182 ) @ SY465 ) ) ) )
= $true )
| ( ( mem @ SV104 @ ( arr @ SV38 @ bool ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(934,plain,
! [SV109: $i,SV45: $i,SV184: $i] :
( ( ( mem @ SV184 @ SV45 )
= $false )
| ( ( ! [SY466: $i] :
( ~ ( mem @ SY466 @ bool )
| ! [SY467: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SY466 ) @ SY467 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY466 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY467 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SY466 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY467 ) @ SV184 ) ) ) ) ) )
= $true )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(935,plain,
! [SV110: $i,SV46: $i,SV185: $i] :
( ( ( mem @ SV185 @ SV46 )
= $false )
| ( ( ! [SY468: $i] :
( ( ap @ ( f16 @ SV46 @ SV110 @ SV185 ) @ SY468 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SV185 @ SY468 @ SV110 ) ) ) )
= $true )
| ( ( mem @ SV110 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(936,plain,
! [SV146: $i,SV50: $i,SV113: $i,SV199: $i] :
( ( ( ~ ( mem @ SV199 @ SV113 ) )
= $true )
| ( ( ! [SY473: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SV199 ) @ SY473 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SV199 ) ) @ ( ap @ SV146 @ SY473 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SV199 ) @ SY473 ) ) ) )
= $true )
| ( ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(937,plain,
! [SV149: $i,SV116: $i,SV54: $i,SV201: $i] :
( ( ( ~ ( mem @ SV201 @ SV54 ) )
= $true )
| ( ( ! [SY474: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SV201 ) @ SY474 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SV201 ) @ ( ap @ SV149 @ SY474 ) ) ) )
= $true )
| ( ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(938,plain,
! [SV152: $i,SV58: $i,SV119: $i,SV203: $i] :
( ( ( ~ ( mem @ SV203 @ SV119 ) )
= $true )
| ( ( ! [SY475: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SV203 ) @ SY475 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SV203 ) ) @ ( ap @ SV152 @ SY475 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SV203 ) @ SY475 ) ) ) )
= $true )
| ( ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(939,plain,
! [SV154: $i,SV121: $i,SV60: $i,SV205: $i] :
( ( ( ~ ( mem @ SV205 @ SV60 ) )
= $true )
| ( ( ! [SY476: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SV205 ) @ SY476 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SV205 ) @ ( ap @ SV154 @ SY476 ) ) ) )
= $true )
| ( ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(940,plain,
! [SV155: $i,SV122: $i,SV61: $i,SV206: $i] :
( ( ( ~ ( mem @ SV206 @ ( arr @ SV61 @ SV122 ) ) )
= $true )
| ( ( ! [SY477: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SV206 ) @ SY477 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SY477 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SV206 @ SY477 ) ) ) ) )
= $true )
| ( ( mem @ SV155 @ ( arr @ SV122 @ bool ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(941,plain,
! [SV176: $i,SV67: $i,SV212: $i] :
( ( ( ~ ( mem @ SV212 @ ( arr @ SV67 @ SV176 ) )
| ( ( f31 @ SV176 @ SV67 @ SV212 )
= SV212 ) )
= $true )
| ( ( ne @ SV176 )
= $false )
| ( ( ne @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(942,plain,
! [SV177: $i,SV68: $i,SV213: $i] :
( ( ( ~ ( mem @ SV213 @ SV68 )
| ~ ( p @ ( ap @ SV177 @ SV213 ) )
| ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) ) )
= $true )
| ( ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
= $false )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(943,plain,
! [SV128: $i,SV73: $i,SV188: $i] :
( ( ( mem @ SV188 @ ( arr @ SV73 @ bool ) )
= $false )
| ( ( ! [SY469: $i] :
( ( ap @ ( f34 @ SV73 @ SV128 @ SV188 ) @ SY469 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SY469 ) @ SV128 ) ) @ ( ap @ SV188 @ SY469 ) ) ) )
= $true )
| ( ( mem @ SV128 @ ( arr @ SV73 @ bool ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(944,plain,
! [SV131: $i,SV77: $i,SV190: $i] :
( ( ( mem @ SV190 @ ( arr @ SV77 @ bool ) )
= $false )
| ( ( ! [SY470: $i] :
( ( ap @ ( f37 @ SV77 @ SV131 @ SV190 ) @ SY470 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SY470 ) @ SV131 ) ) @ ( ap @ SV190 @ SY470 ) ) ) )
= $true )
| ( ( mem @ SV131 @ ( arr @ SV77 @ bool ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(945,plain,
! [SV135: $i,SV82: $i,SV193: $i] :
( ( ( mem @ SV193 @ SV82 )
= $false )
| ( ( ! [SY471: $i] :
( ( ap @ ( f41 @ SV82 @ SV135 @ SV193 ) @ SY471 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SV193 ) ) @ ( ap @ SV135 @ SY471 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SV193 ) @ SY471 ) ) ) )
= $true )
| ( ( mem @ SV135 @ ( arr @ SV82 @ bool ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(946,plain,
! [SV136: $i,SV83: $i,SV194: $i] :
( ( ( mem @ SV194 @ ( arr @ SV83 @ bool ) )
= $false )
| ( ( ! [SY472: $i] :
( ( ap @ ( f42 @ SV83 @ SV136 @ SV194 ) @ SY472 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SV194 ) @ ( f41 @ SV83 @ SV136 @ SY472 ) ) ) )
= $true )
| ( ( mem @ SV136 @ ( arr @ SV83 @ bool ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(947,plain,
! [SV91: $i] :
( ( ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) )
| ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(948,plain,
! [SV91: $i,SV214: $i] :
( ( ( ~ ( mem @ SV214 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) )
| ~ ( p @ SV91 )
| ( p @ SV214 ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(949,plain,
! [SV92: $i,SV215: $i] :
( ( ( ~ ( mem @ SV215 @ bool )
| ~ ( p @ SV92 )
| ~ ( p @ SV215 )
| ( SV92 = SV215 ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(950,plain,
! [SV92: $i,SV216: $i] :
( ( ( ~ ( mem @ SV216 @ bool )
| ( p @ SV92 )
| ( p @ SV216 )
| ( SV92 = SV216 ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(951,plain,
! [SV179: $i] :
( ( ( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ SV179 ) ) )
= $true )
| ( ( ~ ( p @ SV179 ) )
= $true )
| ( ( mem @ SV179 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(952,plain,
! [SV180: $i] :
( ( ( p @ SV180 )
= $true )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ SV180 ) )
= $true )
| ( ( mem @ SV180 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(953,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
| ~ ( ~ ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(954,plain,
! [SV93: $i,SV218: $i] :
( ( ( ~ ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
| ! [SY478: $i] :
( ~ ( mem @ SY478 @ SV93 )
| ( p @ ( ap @ SV218 @ SY478 ) ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(955,plain,
! [SV94: $i,SV219: $i] :
( ( ( ~ ( mem @ SV219 @ bool )
| ~ ( p @ SV94 )
| ~ ( p @ SV219 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(956,plain,
! [SV94: $i] :
( ( ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) )
| ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(957,plain,
! [SV95: $i,SV220: $i] :
( ( ( ~ ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
| ! [SY479: $i] :
( ~ ( mem @ SY479 @ SV95 )
| ~ ( p @ ( ap @ SV220 @ SY479 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(958,plain,
! [SV95: $i,SV221: $i] :
( ( ( ~ ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
| ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(959,plain,
! [SV96: $i,SV222: $i] :
( ( ( ~ ( mem @ SV222 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV222 ) )
| ( p @ SV96 )
| ( p @ SV222 ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(960,plain,
! [SV96: $i] :
( ( ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) )
| ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(961,plain,
! [SV159: $i,SV141: $i,SV97: $i,SV209: $i] :
( ( ( ~ ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) ) ) )
| ( SV159 = SV209 ) )
= $true )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(962,plain,
! [SV181: $i,SV98: $i] :
( ( ( ~ ! [SY463: $i] :
( ~ ( mem @ SY463 @ SV98 )
| ( SV181 != SY463 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY463 ) ) )
| ~ ! [SY464: $i] :
( ~ ( mem @ SY464 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY464 ) )
| ( SV181 = SY464 ) ) )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(963,plain,
! [SV99: $i,SV142: $i,SV2: $i,SV197: $i] :
( ( ( mem @ SV197 @ SV2 )
= $false )
| ( ( mem @ ( ap @ SV142 @ SV197 ) @ SV99 )
= $true )
| ( ( mem @ SV142 @ ( arr @ SV2 @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(964,plain,
! [SV223: $i,SV182: $i,SV104: $i,SV38: $i] :
( ( ( ( ap @ ( f10 @ SV38 @ SV104 @ SV182 ) @ SV223 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV104 @ SV182 ) ) @ ( ap @ SV104 @ SV223 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV38 ) @ SV182 ) @ SV223 ) ) )
= $true )
| ( ( mem @ SV182 @ SV38 )
= $false )
| ( ( mem @ SV104 @ ( arr @ SV38 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(965,plain,
! [SV184: $i,SV109: $i,SV45: $i,SV224: $i] :
( ( ( ~ ( mem @ SV224 @ bool )
| ! [SY480: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SV224 ) @ SY480 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY480 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY480 ) @ SV184 ) ) ) ) )
= $true )
| ( ( mem @ SV184 @ SV45 )
= $false )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(966,plain,
! [SV225: $i,SV185: $i,SV110: $i,SV46: $i] :
( ( ( ( ap @ ( f16 @ SV46 @ SV110 @ SV185 ) @ SV225 )
= ( ap @ ( c_2Emin_2E_40 @ SV46 ) @ ( f15 @ SV46 @ SV185 @ SV225 @ SV110 ) ) )
= $true )
| ( ( mem @ SV185 @ SV46 )
= $false )
| ( ( mem @ SV110 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(967,plain,
! [SV146: $i,SV50: $i,SV113: $i,SV199: $i] :
( ( ( mem @ SV199 @ SV113 )
= $false )
| ( ( ! [SY473: $i] :
( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SV199 ) @ SY473 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SV199 ) ) @ ( ap @ SV146 @ SY473 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SV199 ) @ SY473 ) ) ) )
= $true )
| ( ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(968,plain,
! [SV149: $i,SV116: $i,SV54: $i,SV201: $i] :
( ( ( mem @ SV201 @ SV54 )
= $false )
| ( ( ! [SY474: $i] :
( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SV201 ) @ SY474 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SV201 ) @ ( ap @ SV149 @ SY474 ) ) ) )
= $true )
| ( ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(969,plain,
! [SV152: $i,SV58: $i,SV119: $i,SV203: $i] :
( ( ( mem @ SV203 @ SV119 )
= $false )
| ( ( ! [SY475: $i] :
( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SV203 ) @ SY475 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SV203 ) ) @ ( ap @ SV152 @ SY475 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SV203 ) @ SY475 ) ) ) )
= $true )
| ( ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(970,plain,
! [SV154: $i,SV121: $i,SV60: $i,SV205: $i] :
( ( ( mem @ SV205 @ SV60 )
= $false )
| ( ( ! [SY476: $i] :
( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SV205 ) @ SY476 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SV205 ) @ ( ap @ SV154 @ SY476 ) ) ) )
= $true )
| ( ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(971,plain,
! [SV155: $i,SV122: $i,SV61: $i,SV206: $i] :
( ( ( mem @ SV206 @ ( arr @ SV61 @ SV122 ) )
= $false )
| ( ( ! [SY477: $i] :
( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SV206 ) @ SY477 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SY477 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SV206 @ SY477 ) ) ) ) )
= $true )
| ( ( mem @ SV155 @ ( arr @ SV122 @ bool ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(972,plain,
! [SV176: $i,SV67: $i,SV212: $i] :
( ( ( ~ ( mem @ SV212 @ ( arr @ SV67 @ SV176 ) ) )
= $true )
| ( ( ( f31 @ SV176 @ SV67 @ SV212 )
= SV212 )
= $true )
| ( ( ne @ SV176 )
= $false )
| ( ( ne @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(973,plain,
! [SV177: $i,SV68: $i,SV213: $i] :
( ( ( ~ ( mem @ SV213 @ SV68 ) )
= $true )
| ( ( ~ ( p @ ( ap @ SV177 @ SV213 ) )
| ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) ) )
= $true )
| ( ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
= $false )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(974,plain,
! [SV226: $i,SV188: $i,SV128: $i,SV73: $i] :
( ( ( ( ap @ ( f34 @ SV73 @ SV128 @ SV188 ) @ SV226 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV73 ) @ SV226 ) @ SV128 ) ) @ ( ap @ SV188 @ SV226 ) ) )
= $true )
| ( ( mem @ SV188 @ ( arr @ SV73 @ bool ) )
= $false )
| ( ( mem @ SV128 @ ( arr @ SV73 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(975,plain,
! [SV227: $i,SV190: $i,SV131: $i,SV77: $i] :
( ( ( ( ap @ ( f37 @ SV77 @ SV131 @ SV190 ) @ SV227 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ SV77 ) @ SV227 ) @ SV131 ) ) @ ( ap @ SV190 @ SV227 ) ) )
= $true )
| ( ( mem @ SV190 @ ( arr @ SV77 @ bool ) )
= $false )
| ( ( mem @ SV131 @ ( arr @ SV77 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(976,plain,
! [SV228: $i,SV193: $i,SV135: $i,SV82: $i] :
( ( ( ( ap @ ( f41 @ SV82 @ SV135 @ SV193 ) @ SV228 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ SV135 @ SV193 ) ) @ ( ap @ SV135 @ SV228 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV82 ) @ SV193 ) @ SV228 ) ) )
= $true )
| ( ( mem @ SV193 @ SV82 )
= $false )
| ( ( mem @ SV135 @ ( arr @ SV82 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(977,plain,
! [SV229: $i,SV194: $i,SV136: $i,SV83: $i] :
( ( ( ( ap @ ( f42 @ SV83 @ SV136 @ SV194 ) @ SV229 )
= ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ SV83 ) @ SV194 ) @ ( f41 @ SV83 @ SV136 @ SV229 ) ) )
= $true )
| ( ( mem @ SV194 @ ( arr @ SV83 @ bool ) )
= $false )
| ( ( mem @ SV136 @ ( arr @ SV83 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(978,plain,
! [SV91: $i] :
( ( ( ~ ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) ) )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(979,plain,
! [SV91: $i] :
( ( ( ~ ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(980,plain,
! [SV91: $i,SV214: $i] :
( ( ( ~ ( mem @ SV214 @ bool ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) )
| ~ ( p @ SV91 )
| ( p @ SV214 ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(981,plain,
! [SV92: $i,SV215: $i] :
( ( ( ~ ( mem @ SV215 @ bool ) )
= $true )
| ( ( ~ ( p @ SV92 )
| ~ ( p @ SV215 )
| ( SV92 = SV215 ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(982,plain,
! [SV92: $i,SV216: $i] :
( ( ( ~ ( mem @ SV216 @ bool ) )
= $true )
| ( ( ( p @ SV92 )
| ( p @ SV216 )
| ( SV92 = SV216 ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(983,plain,
! [SV179: $i] :
( ( ( p @ ( ap @ c_2Ebool_2E_7E @ SV179 ) )
= $false )
| ( ( ~ ( p @ SV179 ) )
= $true )
| ( ( mem @ SV179 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(984,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ( mem @ SV217 @ ( arr @ SV93 @ bool ) ) )
= $true )
| ( ( ~ ( ~ ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(985,plain,
! [SV93: $i,SV218: $i] :
( ( ( ~ ( mem @ SV218 @ ( arr @ SV93 @ bool ) ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
| ! [SY478: $i] :
( ~ ( mem @ SY478 @ SV93 )
| ( p @ ( ap @ SV218 @ SY478 ) ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(986,plain,
! [SV94: $i,SV219: $i] :
( ( ( ~ ( mem @ SV219 @ bool ) )
= $true )
| ( ( ~ ( p @ SV94 )
| ~ ( p @ SV219 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(987,plain,
! [SV94: $i] :
( ( ( ~ ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) ) )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(988,plain,
! [SV94: $i] :
( ( ( ~ ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(989,plain,
! [SV95: $i,SV220: $i] :
( ( ( ~ ( mem @ SV220 @ ( arr @ SV95 @ bool ) ) )
= $true )
| ( ( ! [SY479: $i] :
( ~ ( mem @ SY479 @ SV95 )
| ~ ( p @ ( ap @ SV220 @ SY479 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(990,plain,
! [SV95: $i,SV221: $i] :
( ( ( ~ ( mem @ SV221 @ ( arr @ SV95 @ bool ) ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(991,plain,
! [SV96: $i,SV222: $i] :
( ( ( ~ ( mem @ SV222 @ bool ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV222 ) )
| ( p @ SV96 )
| ( p @ SV222 ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(992,plain,
! [SV96: $i] :
( ( ( ~ ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) ) )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(993,plain,
! [SV96: $i] :
( ( ( ~ ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(994,plain,
! [SV159: $i,SV141: $i,SV97: $i,SV209: $i] :
( ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) ) ) )
| ( SV159 = SV209 ) )
= $true )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(995,plain,
! [SV181: $i,SV98: $i] :
( ( ( ~ ! [SY463: $i] :
( ~ ( mem @ SY463 @ SV98 )
| ( SV181 != SY463 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY463 ) ) ) )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(996,plain,
! [SV181: $i,SV98: $i] :
( ( ( ~ ! [SY464: $i] :
( ~ ( mem @ SY464 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY464 ) )
| ( SV181 = SY464 ) ) )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(997,plain,
! [SV184: $i,SV109: $i,SV45: $i,SV224: $i] :
( ( ( ~ ( mem @ SV224 @ bool ) )
= $true )
| ( ( ! [SY480: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SV224 ) @ SY480 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY480 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY480 ) @ SV184 ) ) ) ) )
= $true )
| ( ( mem @ SV184 @ SV45 )
= $false )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(998,plain,
! [SV230: $i,SV199: $i,SV146: $i,SV113: $i,SV50: $i] :
( ( ( ( ap @ ( f19 @ SV50 @ SV113 @ SV146 @ SV199 ) @ SV230 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV50 ) @ ( ap @ SV146 @ SV199 ) ) @ ( ap @ SV146 @ SV230 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV113 ) @ SV199 ) @ SV230 ) ) )
= $true )
| ( ( mem @ SV199 @ SV113 )
= $false )
| ( ( mem @ SV146 @ ( arr @ SV113 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(999,plain,
! [SV231: $i,SV201: $i,SV149: $i,SV116: $i,SV54: $i] :
( ( ( ( ap @ ( f22 @ SV54 @ SV116 @ SV149 @ SV201 ) @ SV231 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV54 ) @ SV201 ) @ ( ap @ SV149 @ SV231 ) ) )
= $true )
| ( ( mem @ SV201 @ SV54 )
= $false )
| ( ( mem @ SV149 @ ( arr @ SV116 @ SV54 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1000,plain,
! [SV232: $i,SV203: $i,SV152: $i,SV119: $i,SV58: $i] :
( ( ( ( ap @ ( f25 @ SV58 @ SV119 @ SV152 @ SV203 ) @ SV232 )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV58 ) @ ( ap @ SV152 @ SV203 ) ) @ ( ap @ SV152 @ SV232 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV119 ) @ SV203 ) @ SV232 ) ) )
= $true )
| ( ( mem @ SV203 @ SV119 )
= $false )
| ( ( mem @ SV152 @ ( arr @ SV119 @ SV58 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1001,plain,
! [SV233: $i,SV205: $i,SV154: $i,SV121: $i,SV60: $i] :
( ( ( ( ap @ ( f27 @ SV60 @ SV121 @ SV154 @ SV205 ) @ SV233 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV60 ) @ SV205 ) @ ( ap @ SV154 @ SV233 ) ) )
= $true )
| ( ( mem @ SV205 @ SV60 )
= $false )
| ( ( mem @ SV154 @ ( arr @ SV121 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1002,plain,
! [SV234: $i,SV206: $i,SV155: $i,SV122: $i,SV61: $i] :
( ( ( ( ap @ ( f28 @ SV61 @ SV122 @ SV155 @ SV206 ) @ SV234 )
= ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ SV155 @ SV234 ) ) @ ( ap @ ( c_2Ebool_2E_3F @ SV61 ) @ ( f27 @ SV122 @ SV61 @ SV206 @ SV234 ) ) ) )
= $true )
| ( ( mem @ SV206 @ ( arr @ SV61 @ SV122 ) )
= $false )
| ( ( mem @ SV155 @ ( arr @ SV122 @ bool ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1003,plain,
! [SV176: $i,SV67: $i,SV212: $i] :
( ( ( mem @ SV212 @ ( arr @ SV67 @ SV176 ) )
= $false )
| ( ( ( f31 @ SV176 @ SV67 @ SV212 )
= SV212 )
= $true )
| ( ( ne @ SV176 )
= $false )
| ( ( ne @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1004,plain,
! [SV177: $i,SV68: $i,SV213: $i] :
( ( ( mem @ SV213 @ SV68 )
= $false )
| ( ( ~ ( p @ ( ap @ SV177 @ SV213 ) )
| ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) ) )
= $true )
| ( ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
= $false )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1005,plain,
! [SV91: $i] :
( ( ( ! [SY359: $i] :
( ~ ( mem @ SY359 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY359 ) ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1006,plain,
! [SV91: $i] :
( ( ( ! [SY360: $i] :
( ~ ( mem @ SY360 @ bool )
| ~ ( p @ SY360 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SY360 ) ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1007,plain,
! [SV91: $i,SV214: $i] :
( ( ( mem @ SV214 @ bool )
= $false )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) )
| ~ ( p @ SV91 )
| ( p @ SV214 ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1008,plain,
! [SV92: $i,SV215: $i] :
( ( ( mem @ SV215 @ bool )
= $false )
| ( ( ~ ( p @ SV92 )
| ~ ( p @ SV215 )
| ( SV92 = SV215 ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(1009,plain,
! [SV92: $i,SV216: $i] :
( ( ( mem @ SV216 @ bool )
= $false )
| ( ( ( p @ SV92 )
| ( p @ SV216 )
| ( SV92 = SV216 ) )
= $true )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1010,plain,
! [SV179: $i] :
( ( ( p @ SV179 )
= $false )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ SV179 ) )
= $false )
| ( ( mem @ SV179 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1011,plain,
! [SV93: $i,SV217: $i] :
( ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ~ ( ~ ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1012,plain,
! [SV93: $i,SV218: $i] :
( ( ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
| ! [SY478: $i] :
( ~ ( mem @ SY478 @ SV93 )
| ( p @ ( ap @ SV218 @ SY478 ) ) ) )
= $true )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1013,plain,
! [SV94: $i,SV219: $i] :
( ( ( mem @ SV219 @ bool )
= $false )
| ( ( ~ ( p @ SV94 )
| ~ ( p @ SV219 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1014,plain,
! [SV94: $i] :
( ( ( ! [SY368: $i] :
( ~ ( mem @ SY368 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY368 ) )
| ( p @ SV94 ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1015,plain,
! [SV94: $i] :
( ( ( ! [SY369: $i] :
( ~ ( mem @ SY369 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SY369 ) )
| ( p @ SY369 ) ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1016,plain,
! [SV95: $i,SV220: $i] :
( ( ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ! [SY479: $i] :
( ~ ( mem @ SY479 @ SV95 )
| ~ ( p @ ( ap @ SV220 @ SY479 ) ) )
| ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1017,plain,
! [SV95: $i,SV221: $i] :
( ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
| ~ ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) ) )
= $true )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1018,plain,
! [SV96: $i,SV222: $i] :
( ( ( mem @ SV222 @ bool )
= $false )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV222 ) )
| ( p @ SV96 )
| ( p @ SV222 ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1019,plain,
! [SV96: $i] :
( ( ( ! [SY374: $i] :
( ~ ( mem @ SY374 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY374 ) ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1020,plain,
! [SV96: $i] :
( ( ( ! [SY375: $i] :
( ~ ( mem @ SY375 @ bool )
| ~ ( p @ SY375 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SY375 ) ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1021,plain,
! [SV97: $i,SV141: $i,SV159: $i,SV209: $i] :
( ( ( ~ ( ~ ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) ) ) ) )
= $true )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1022,plain,
! [SV181: $i,SV98: $i] :
( ( ( ! [SY463: $i] :
( ~ ( mem @ SY463 @ SV98 )
| ( SV181 != SY463 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY463 ) ) ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1023,plain,
! [SV181: $i,SV98: $i] :
( ( ( ! [SY464: $i] :
( ~ ( mem @ SY464 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SY464 ) )
| ( SV181 = SY464 ) ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1024,plain,
! [SV184: $i,SV109: $i,SV45: $i,SV224: $i] :
( ( ( mem @ SV224 @ bool )
= $false )
| ( ( ! [SY480: $i] :
( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SV224 ) @ SY480 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY480 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SY480 ) @ SV184 ) ) ) ) )
= $true )
| ( ( mem @ SV184 @ SV45 )
= $false )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1025,plain,
! [SV68: $i,SV213: $i,SV177: $i] :
( ( ( ~ ( p @ ( ap @ SV177 @ SV213 ) ) )
= $true )
| ( ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) )
= $true )
| ( ( mem @ SV213 @ SV68 )
= $false )
| ( ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
= $false )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1026,plain,
! [SV91: $i,SV235: $i] :
( ( ( ~ ( mem @ SV235 @ bool )
| ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV235 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1027,plain,
! [SV91: $i,SV236: $i] :
( ( ( ~ ( mem @ SV236 @ bool )
| ~ ( p @ SV236 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV236 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1028,plain,
! [SV214: $i,SV91: $i] :
( ( ( ~ ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) ) )
= $true )
| ( ( ~ ( p @ SV91 )
| ( p @ SV214 ) )
= $true )
| ( ( mem @ SV214 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1029,plain,
! [SV215: $i,SV92: $i] :
( ( ( ~ ( p @ SV92 )
| ~ ( p @ SV215 ) )
= $true )
| ( ( SV92 = SV215 )
= $true )
| ( ( mem @ SV215 @ bool )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1030,plain,
! [SV216: $i,SV92: $i] :
( ( ( ( p @ SV92 )
| ( p @ SV216 ) )
= $true )
| ( ( SV92 = SV216 )
= $true )
| ( ( mem @ SV216 @ bool )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1031,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ( ~ ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1032,plain,
! [SV218: $i,SV93: $i] :
( ( ( ~ ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) ) )
= $true )
| ( ( ! [SY478: $i] :
( ~ ( mem @ SY478 @ SV93 )
| ( p @ ( ap @ SV218 @ SY478 ) ) ) )
= $true )
| ( ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1033,plain,
! [SV219: $i,SV94: $i] :
( ( ( ~ ( p @ SV94 )
| ~ ( p @ SV219 ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) )
= $true )
| ( ( mem @ SV219 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1034,plain,
! [SV94: $i,SV237: $i] :
( ( ( ~ ( mem @ SV237 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV237 ) )
| ( p @ SV94 ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1035,plain,
! [SV94: $i,SV238: $i] :
( ( ( ~ ( mem @ SV238 @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV238 ) )
| ( p @ SV238 ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1036,plain,
! [SV220: $i,SV95: $i] :
( ( ( ! [SY479: $i] :
( ~ ( mem @ SY479 @ SV95 )
| ~ ( p @ ( ap @ SV220 @ SY479 ) ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) )
= $true )
| ( ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1037,plain,
! [SV221: $i,SV95: $i] :
( ( ( ~ ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) ) )
= $true )
| ( ( ~ ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) ) )
= $true )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1038,plain,
! [SV222: $i,SV96: $i] :
( ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV222 ) ) )
= $true )
| ( ( ( p @ SV96 )
| ( p @ SV222 ) )
= $true )
| ( ( mem @ SV222 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1039,plain,
! [SV96: $i,SV239: $i] :
( ( ( ~ ( mem @ SV239 @ bool )
| ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV239 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1040,plain,
! [SV96: $i,SV240: $i] :
( ( ( ~ ( mem @ SV240 @ bool )
| ~ ( p @ SV240 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV240 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1041,plain,
! [SV97: $i,SV141: $i,SV159: $i,SV209: $i] :
( ( ( ~ ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 )
| ~ ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) ) ) )
= $false )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1042,plain,
! [SV181: $i,SV98: $i,SV241: $i] :
( ( ( ~ ( mem @ SV241 @ SV98 )
| ( SV181 != SV241 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV241 ) ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1043,plain,
! [SV181: $i,SV98: $i,SV242: $i] :
( ( ( ~ ( mem @ SV242 @ SV98 )
| ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV242 ) )
| ( SV181 = SV242 ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1044,plain,
! [SV243: $i,SV224: $i,SV184: $i,SV109: $i,SV45: $i] :
( ( ( ( ap @ ( f15 @ SV45 @ SV109 @ SV184 @ SV224 ) @ SV243 )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SV243 ) @ SV109 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ SV224 ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV45 ) @ SV243 ) @ SV184 ) ) ) )
= $true )
| ( ( mem @ SV224 @ bool )
= $false )
| ( ( mem @ SV184 @ SV45 )
= $false )
| ( ( mem @ SV109 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1045,plain,
! [SV68: $i,SV213: $i,SV177: $i] :
( ( ( p @ ( ap @ SV177 @ SV213 ) )
= $false )
| ( ( p @ ( ap @ SV177 @ ( ap @ ( c_2Emin_2E_40 @ SV68 ) @ SV177 ) ) )
= $true )
| ( ( mem @ SV213 @ SV68 )
= $false )
| ( ( mem @ SV177 @ ( arr @ SV68 @ bool ) )
= $false )
| ( ( ne @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1046,plain,
! [SV91: $i,SV235: $i] :
( ( ( ~ ( mem @ SV235 @ bool ) )
= $true )
| ( ( ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV235 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1047,plain,
! [SV91: $i,SV236: $i] :
( ( ( ~ ( mem @ SV236 @ bool ) )
= $true )
| ( ( ~ ( p @ SV236 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV236 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1048,plain,
! [SV214: $i,SV91: $i] :
( ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) )
= $false )
| ( ( ~ ( p @ SV91 )
| ( p @ SV214 ) )
= $true )
| ( ( mem @ SV214 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1049,plain,
! [SV215: $i,SV92: $i] :
( ( ( ~ ( p @ SV92 ) )
= $true )
| ( ( ~ ( p @ SV215 ) )
= $true )
| ( ( SV92 = SV215 )
= $true )
| ( ( mem @ SV215 @ bool )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1050,plain,
! [SV216: $i,SV92: $i] :
( ( ( p @ SV92 )
= $true )
| ( ( p @ SV216 )
= $true )
| ( ( SV92 = SV216 )
= $true )
| ( ( mem @ SV216 @ bool )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1051,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 )
| ~ ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1052,plain,
! [SV218: $i,SV93: $i] :
( ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
= $false )
| ( ( ! [SY478: $i] :
( ~ ( mem @ SY478 @ SV93 )
| ( p @ ( ap @ SV218 @ SY478 ) ) ) )
= $true )
| ( ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1053,plain,
! [SV219: $i,SV94: $i] :
( ( ( ~ ( p @ SV94 ) )
= $true )
| ( ( ~ ( p @ SV219 ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) )
= $true )
| ( ( mem @ SV219 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1033]) ).
thf(1054,plain,
! [SV94: $i,SV237: $i] :
( ( ( ~ ( mem @ SV237 @ bool ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV237 ) )
| ( p @ SV94 ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1055,plain,
! [SV94: $i,SV238: $i] :
( ( ( ~ ( mem @ SV238 @ bool ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV238 ) )
| ( p @ SV238 ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1056,plain,
! [SV220: $i,SV95: $i,SV244: $i] :
( ( ( ~ ( mem @ SV244 @ SV95 )
| ~ ( p @ ( ap @ SV220 @ SV244 ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) )
= $true )
| ( ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1057,plain,
! [SV221: $i,SV95: $i] :
( ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
= $false )
| ( ( ~ ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) ) )
= $true )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1058,plain,
! [SV222: $i,SV96: $i] :
( ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV222 ) )
= $false )
| ( ( ( p @ SV96 )
| ( p @ SV222 ) )
= $true )
| ( ( mem @ SV222 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1059,plain,
! [SV96: $i,SV239: $i] :
( ( ( ~ ( mem @ SV239 @ bool ) )
= $true )
| ( ( ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV239 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1060,plain,
! [SV96: $i,SV240: $i] :
( ( ( ~ ( mem @ SV240 @ bool ) )
= $true )
| ( ( ~ ( p @ SV240 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV240 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1061,plain,
! [SV97: $i,SV141: $i,SV159: $i,SV209: $i] :
( ( ( ~ ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 ) )
= $false )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1062,plain,
! [SV97: $i,SV141: $i,SV209: $i,SV159: $i] :
( ( ( ~ ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) ) ) )
= $false )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1063,plain,
! [SV181: $i,SV98: $i,SV241: $i] :
( ( ( ~ ( mem @ SV241 @ SV98 ) )
= $true )
| ( ( ( SV181 != SV241 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV241 ) ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1064,plain,
! [SV181: $i,SV98: $i,SV242: $i] :
( ( ( ~ ( mem @ SV242 @ SV98 ) )
= $true )
| ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV242 ) )
| ( SV181 = SV242 ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1065,plain,
! [SV91: $i,SV235: $i] :
( ( ( mem @ SV235 @ bool )
= $false )
| ( ( ( p @ SV91 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV235 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1066,plain,
! [SV91: $i,SV236: $i] :
( ( ( mem @ SV236 @ bool )
= $false )
| ( ( ~ ( p @ SV236 )
| ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV236 ) ) )
= $true )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1067,plain,
! [SV214: $i,SV91: $i] :
( ( ( ~ ( p @ SV91 ) )
= $true )
| ( ( p @ SV214 )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) )
= $false )
| ( ( mem @ SV214 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1068,plain,
! [SV215: $i,SV92: $i] :
( ( ( p @ SV92 )
= $false )
| ( ( ~ ( p @ SV215 ) )
= $true )
| ( ( SV92 = SV215 )
= $true )
| ( ( mem @ SV215 @ bool )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1069,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1070,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1071,plain,
! [SV218: $i,SV93: $i,SV245: $i] :
( ( ( ~ ( mem @ SV245 @ SV93 )
| ( p @ ( ap @ SV218 @ SV245 ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
= $false )
| ( ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1072,plain,
! [SV219: $i,SV94: $i] :
( ( ( p @ SV94 )
= $false )
| ( ( ~ ( p @ SV219 ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) )
= $true )
| ( ( mem @ SV219 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1073,plain,
! [SV94: $i,SV237: $i] :
( ( ( mem @ SV237 @ bool )
= $false )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV237 ) )
| ( p @ SV94 ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1074,plain,
! [SV94: $i,SV238: $i] :
( ( ( mem @ SV238 @ bool )
= $false )
| ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV238 ) )
| ( p @ SV238 ) )
= $true )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1075,plain,
! [SV220: $i,SV95: $i,SV244: $i] :
( ( ( ~ ( mem @ SV244 @ SV95 ) )
= $true )
| ( ( ~ ( p @ ( ap @ SV220 @ SV244 ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) )
= $true )
| ( ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1076,plain,
! [SV95: $i,SV221: $i] :
( ( ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
| ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
= $false )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1077,plain,
! [SV222: $i,SV96: $i] :
( ( ( p @ SV96 )
= $true )
| ( ( p @ SV222 )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV222 ) )
= $false )
| ( ( mem @ SV222 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1078,plain,
! [SV96: $i,SV239: $i] :
( ( ( mem @ SV239 @ bool )
= $false )
| ( ( ~ ( p @ SV96 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV239 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1079,plain,
! [SV96: $i,SV240: $i] :
( ( ( mem @ SV240 @ bool )
= $false )
| ( ( ~ ( p @ SV240 )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV240 ) ) )
= $true )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1080,plain,
! [SV97: $i,SV141: $i,SV159: $i,SV209: $i] :
( ( ( mem @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) @ SV97 )
= $true )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1081,plain,
! [SV97: $i,SV141: $i,SV209: $i,SV159: $i] :
( ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
!= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) )
= $true )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1082,plain,
! [SV181: $i,SV98: $i,SV241: $i] :
( ( ( mem @ SV241 @ SV98 )
= $false )
| ( ( ( SV181 != SV241 )
| ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV241 ) ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1083,plain,
! [SV181: $i,SV98: $i,SV242: $i] :
( ( ( mem @ SV242 @ SV98 )
= $false )
| ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV242 ) )
| ( SV181 = SV242 ) )
= $true )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1084,plain,
! [SV235: $i,SV91: $i] :
( ( ( p @ SV91 )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV235 ) )
= $true )
| ( ( mem @ SV235 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1085,plain,
! [SV91: $i,SV236: $i] :
( ( ( ~ ( p @ SV236 ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV236 ) )
= $true )
| ( ( mem @ SV236 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1086,plain,
! [SV214: $i,SV91: $i] :
( ( ( p @ SV91 )
= $false )
| ( ( p @ SV214 )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV214 ) )
= $false )
| ( ( mem @ SV214 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1087,plain,
! [SV92: $i,SV215: $i] :
( ( ( p @ SV215 )
= $false )
| ( ( p @ SV92 )
= $false )
| ( ( SV92 = SV215 )
= $true )
| ( ( mem @ SV215 @ bool )
= $false )
| ( ( mem @ SV92 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1088,plain,
! [SV93: $i,SV217: $i] :
( ( ( mem @ ( sK4_X @ SV217 @ SV93 ) @ SV93 )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1089,plain,
! [SV93: $i,SV217: $i] :
( ( ( ~ ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1090,plain,
! [SV218: $i,SV93: $i,SV245: $i] :
( ( ( ~ ( mem @ SV245 @ SV93 ) )
= $true )
| ( ( p @ ( ap @ SV218 @ SV245 ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
= $false )
| ( ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1091,plain,
! [SV94: $i,SV219: $i] :
( ( ( p @ SV219 )
= $false )
| ( ( p @ SV94 )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV219 ) )
= $true )
| ( ( mem @ SV219 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1092,plain,
! [SV237: $i,SV94: $i] :
( ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV237 ) ) )
= $true )
| ( ( p @ SV94 )
= $true )
| ( ( mem @ SV237 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1093,plain,
! [SV238: $i,SV94: $i] :
( ( ( ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV238 ) ) )
= $true )
| ( ( p @ SV238 )
= $true )
| ( ( mem @ SV238 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1094,plain,
! [SV220: $i,SV95: $i,SV244: $i] :
( ( ( mem @ SV244 @ SV95 )
= $false )
| ( ( ~ ( p @ ( ap @ SV220 @ SV244 ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) )
= $true )
| ( ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1095,plain,
! [SV95: $i,SV221: $i] :
( ( ( ~ ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
= $false )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1096,plain,
! [SV95: $i,SV221: $i] :
( ( ( ~ ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
= $false )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1097,plain,
! [SV239: $i,SV96: $i] :
( ( ( ~ ( p @ SV96 ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV239 ) )
= $true )
| ( ( mem @ SV239 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1098,plain,
! [SV96: $i,SV240: $i] :
( ( ( ~ ( p @ SV240 ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV240 ) )
= $true )
| ( ( mem @ SV240 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1099,plain,
! [SV97: $i,SV141: $i,SV209: $i,SV159: $i] :
( ( ( ( ap @ SV159 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) )
= ( ap @ SV209 @ ( sK5_X @ SV209 @ SV159 @ SV141 @ SV97 ) ) )
= $false )
| ( ( SV159 = SV209 )
= $true )
| ( ( mem @ SV209 @ ( arr @ SV97 @ SV141 ) )
= $false )
| ( ( mem @ SV159 @ ( arr @ SV97 @ SV141 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1100,plain,
! [SV98: $i,SV241: $i,SV181: $i] :
( ( ( SV181 != SV241 )
= $true )
| ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV241 ) )
= $true )
| ( ( mem @ SV241 @ SV98 )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1101,plain,
! [SV242: $i,SV181: $i,SV98: $i] :
( ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV242 ) ) )
= $true )
| ( ( SV181 = SV242 )
= $true )
| ( ( mem @ SV242 @ SV98 )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1102,plain,
! [SV91: $i,SV236: $i] :
( ( ( p @ SV236 )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ SV91 ) @ SV236 ) )
= $true )
| ( ( mem @ SV236 @ bool )
= $false )
| ( ( mem @ SV91 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1103,plain,
! [SV93: $i,SV217: $i] :
( ( ( p @ ( ap @ SV217 @ ( sK4_X @ SV217 @ SV93 ) ) )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV217 ) )
= $true )
| ( ( mem @ SV217 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1104,plain,
! [SV218: $i,SV93: $i,SV245: $i] :
( ( ( mem @ SV245 @ SV93 )
= $false )
| ( ( p @ ( ap @ SV218 @ SV245 ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ SV93 ) @ SV218 ) )
= $false )
| ( ( mem @ SV218 @ ( arr @ SV93 @ bool ) )
= $false )
| ( ( ne @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1105,plain,
! [SV237: $i,SV94: $i] :
( ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV237 ) )
= $false )
| ( ( p @ SV94 )
= $true )
| ( ( mem @ SV237 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1106,plain,
! [SV238: $i,SV94: $i] :
( ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ SV94 ) @ SV238 ) )
= $false )
| ( ( p @ SV238 )
= $true )
| ( ( mem @ SV238 @ bool )
= $false )
| ( ( mem @ SV94 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1107,plain,
! [SV95: $i,SV244: $i,SV220: $i] :
( ( ( p @ ( ap @ SV220 @ SV244 ) )
= $false )
| ( ( mem @ SV244 @ SV95 )
= $false )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV220 ) )
= $true )
| ( ( mem @ SV220 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1108,plain,
! [SV95: $i,SV221: $i] :
( ( ( mem @ ( sK3_X @ SV221 @ SV95 ) @ SV95 )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
= $false )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1109,plain,
! [SV95: $i,SV221: $i] :
( ( ( p @ ( ap @ SV221 @ ( sK3_X @ SV221 @ SV95 ) ) )
= $true )
| ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ SV95 ) @ SV221 ) )
= $false )
| ( ( mem @ SV221 @ ( arr @ SV95 @ bool ) )
= $false )
| ( ( ne @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1110,plain,
! [SV239: $i,SV96: $i] :
( ( ( p @ SV96 )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV239 ) )
= $true )
| ( ( mem @ SV239 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1111,plain,
! [SV96: $i,SV240: $i] :
( ( ( p @ SV240 )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ SV96 ) @ SV240 ) )
= $true )
| ( ( mem @ SV240 @ bool )
= $false )
| ( ( mem @ SV96 @ bool )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1112,plain,
! [SV98: $i,SV241: $i,SV181: $i] :
( ( ( SV181 = SV241 )
= $false )
| ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV241 ) )
= $true )
| ( ( mem @ SV241 @ SV98 )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1113,plain,
! [SV242: $i,SV181: $i,SV98: $i] :
( ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ SV98 ) @ SV181 ) @ SV242 ) )
= $false )
| ( ( SV181 = SV242 )
= $true )
| ( ( mem @ SV242 @ SV98 )
= $false )
| ( ( mem @ SV181 @ SV98 )
= $false )
| ( ( ne @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1114,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[325,1113,1112,1111,1110,1109,1108,1107,1106,1105,1104,1103,1102,1099,1091,1088,1087,1086,1084,1080,1077,1050,1045,1044,1010,1003,1002,1001,1000,999,998,977,976,975,974,966,964,963,952,932,931,917,916,907,904,903,902,899,897,896,894,893,889,888,884,883,882,881,880,879,878,876,857,856,853,852,850,848,843,830,825,814,806,802,764,762,753,743,735,734,732,727,724,721,713,706,702,699,694,692,685,684,683,679,678,677,676,671,670,669,668,667,666,665,664,663,662,641,638,632,628,624,601,593,585,583,545,491,490,487,467,440,386,383,379,371,369,364,362,361,350,347,341,335,326]) ).
thf(1115,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP001+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 11:06:24 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.82/1.13 .
% 4.82/1.13
% 4.82/1.13 No.of.Axioms: 117
% 4.82/1.13
% 4.82/1.13 Length.of.Defs: 0
% 4.82/1.13
% 4.82/1.13 Contains.Choice.Funs: false
% 4.82/1.13 .........................................
% 4.82/1.13
% 4.82/1.13 ********************************
% 4.82/1.13 * All subproblems solved! *
% 4.82/1.13 ********************************
% 4.82/1.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:117,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1114,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.82/1.13
% 4.82/1.13 %**** Beginning of derivation protocol ****
% 4.82/1.13 % SZS output start CNFRefutation
% See solution above
% 4.82/1.14
% 4.82/1.14 %**** End of derivation protocol ****
% 4.82/1.14 %**** no. of clauses in derivation: 1115 ****
% 4.82/1.14 %**** clause counter: 1114 ****
% 4.82/1.14
% 4.82/1.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:117,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1114,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------