%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYP101_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n006.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 : Sun Sep 27 09:51:51 AM UTC 2026
% Result : Theorem 13.22s 4.61s
% Output : Refutation 15.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 162
% Syntax : Number of formulae : 216 ( 192 unt; 0 typ; 160 def)
% Number of atoms : 4800 ( 177 equ; 0 cnn)
% Maximal formula atoms : 1075 ( 22 avg)
% Number of connectives : 14834 (1394 ~;1269 |;1919 &;9032 @)
% ( 0 <=>;1220 =>; 0 <=; 0 <~>)
% Maximal formula depth : 610 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 176 ( 173 usr; 103 con; 0-12 aty)
% Number of variables : 3527 ( 370 ^;1457 !;1540 ?;3527 :)
% ( 0 !>; 0 ?*; 0 @-; 160 @+)
% Comments :
%------------------------------------------------------------------------------
thf('$world_type',type,
'$world': $tType ).
thf('$local_world_decl',type,
'$local_world': '$world' ).
thf('$accessible_world_decl',type,
'$accessible_world': '$world' > '$world' > $o ).
thf(p0_decl,type,
p0: '$world' > $o ).
thf(sk1_decl,type,
sk1: '$world' ).
thf(sk2_decl,type,
sk2: '$world' ).
thf(sk3_decl,type,
sk3: '$world' ).
thf(sk4_decl,type,
sk4: '$world' ).
thf(sk5_decl,type,
sk5: '$world' ).
thf(sk6_decl,type,
sk6: '$world' ).
thf(sk7_decl,type,
sk7: '$world' ).
thf(sk8_decl,type,
sk8: '$world' ).
thf(sk9_decl,type,
sk9: '$world' ).
thf(sk10_decl,type,
sk10: '$world' ).
thf(sk11_decl,type,
sk11: '$world' > '$world' ).
thf(sk12_decl,type,
sk12: '$world' > '$world' ).
thf(sk13_decl,type,
sk13: '$world' > $o ).
thf(sk14_decl,type,
sk14: '$world' > '$world' ).
thf(sk15_decl,type,
sk15: '$world' > '$world' > '$world' > '$world' ).
thf(sk16_decl,type,
sk16: '$world' > '$world' > '$world' ).
thf(sk17_decl,type,
sk17: '$world' > '$world' > '$world' ).
thf(sk18_decl,type,
sk18: '$world' ).
thf(sk19_decl,type,
sk19: '$world' ).
thf(sk20_decl,type,
sk20: '$world' ).
thf(sk21_decl,type,
sk21: '$world' ).
thf(sk22_decl,type,
sk22: '$world' ).
thf(sk23_decl,type,
sk23: '$world' ).
thf(sk24_decl,type,
sk24: '$world' ).
thf(sk25_decl,type,
sk25: '$world' ).
thf(sk26_decl,type,
sk26: '$world' ).
thf(sk27_decl,type,
sk27: '$world' ).
thf(sk28_decl,type,
sk28: '$world' > '$world' > '$world' ).
thf(sk29_decl,type,
sk29: '$world' > '$world' > '$world' ).
thf(sk30_decl,type,
sk30: '$world' > $o ).
thf(sk31_decl,type,
sk31: '$world' > '$world' > '$world' ).
thf(sk32_decl,type,
sk32: '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk33_decl,type,
sk33: '$world' > '$world' > '$world' > '$world' ).
thf(sk34_decl,type,
sk34: '$world' > '$world' > '$world' > '$world' ).
thf(sk35_decl,type,
sk35: '$world' ).
thf(sk36_decl,type,
sk36: '$world' ).
thf(sk37_decl,type,
sk37: '$world' ).
thf(sk38_decl,type,
sk38: '$world' ).
thf(sk39_decl,type,
sk39: '$world' ).
thf(sk40_decl,type,
sk40: '$world' ).
thf(sk41_decl,type,
sk41: '$world' ).
thf(sk42_decl,type,
sk42: '$world' ).
thf(sk43_decl,type,
sk43: '$world' ).
thf(sk44_decl,type,
sk44: '$world' ).
thf(sk45_decl,type,
sk45: '$world' > '$world' > '$world' > '$world' ).
thf(sk46_decl,type,
sk46: '$world' > '$world' > '$world' > '$world' ).
thf(sk47_decl,type,
sk47: '$world' > $o ).
thf(sk48_decl,type,
sk48: '$world' > '$world' > '$world' > '$world' ).
thf(sk49_decl,type,
sk49: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk50_decl,type,
sk50: '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk51_decl,type,
sk51: '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk52_decl,type,
sk52: '$world' ).
thf(sk53_decl,type,
sk53: '$world' ).
thf(sk54_decl,type,
sk54: '$world' ).
thf(sk55_decl,type,
sk55: '$world' ).
thf(sk56_decl,type,
sk56: '$world' ).
thf(sk57_decl,type,
sk57: '$world' ).
thf(sk58_decl,type,
sk58: '$world' ).
thf(sk59_decl,type,
sk59: '$world' ).
thf(sk60_decl,type,
sk60: '$world' ).
thf(sk61_decl,type,
sk61: '$world' ).
thf(sk62_decl,type,
sk62: '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk63_decl,type,
sk63: '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk64_decl,type,
sk64: '$world' > $o ).
thf(sk65_decl,type,
sk65: '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk66_decl,type,
sk66: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk67_decl,type,
sk67: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk68_decl,type,
sk68: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk69_decl,type,
sk69: '$world' ).
thf(sk70_decl,type,
sk70: '$world' ).
thf(sk71_decl,type,
sk71: '$world' ).
thf(sk72_decl,type,
sk72: '$world' ).
thf(sk73_decl,type,
sk73: '$world' ).
thf(sk74_decl,type,
sk74: '$world' ).
thf(sk75_decl,type,
sk75: '$world' ).
thf(sk76_decl,type,
sk76: '$world' ).
thf(sk77_decl,type,
sk77: '$world' ).
thf(sk78_decl,type,
sk78: '$world' ).
thf(sk79_decl,type,
sk79: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk80_decl,type,
sk80: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk81_decl,type,
sk81: '$world' > $o ).
thf(sk82_decl,type,
sk82: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk83_decl,type,
sk83: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk84_decl,type,
sk84: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk85_decl,type,
sk85: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk86_decl,type,
sk86: '$world' ).
thf(sk87_decl,type,
sk87: '$world' ).
thf(sk88_decl,type,
sk88: '$world' ).
thf(sk89_decl,type,
sk89: '$world' ).
thf(sk90_decl,type,
sk90: '$world' ).
thf(sk91_decl,type,
sk91: '$world' ).
thf(sk92_decl,type,
sk92: '$world' ).
thf(sk93_decl,type,
sk93: '$world' ).
thf(sk94_decl,type,
sk94: '$world' ).
thf(sk95_decl,type,
sk95: '$world' ).
thf(sk96_decl,type,
sk96: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk97_decl,type,
sk97: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk98_decl,type,
sk98: '$world' > $o ).
thf(sk99_decl,type,
sk99: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk100_decl,type,
sk100: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk101_decl,type,
sk101: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk102_decl,type,
sk102: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk103_decl,type,
sk103: '$world' ).
thf(sk104_decl,type,
sk104: '$world' ).
thf(sk105_decl,type,
sk105: '$world' ).
thf(sk106_decl,type,
sk106: '$world' ).
thf(sk107_decl,type,
sk107: '$world' ).
thf(sk108_decl,type,
sk108: '$world' ).
thf(sk109_decl,type,
sk109: '$world' ).
thf(sk110_decl,type,
sk110: '$world' ).
thf(sk111_decl,type,
sk111: '$world' ).
thf(sk112_decl,type,
sk112: '$world' ).
thf(sk113_decl,type,
sk113: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk114_decl,type,
sk114: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk115_decl,type,
sk115: '$world' > $o ).
thf(sk116_decl,type,
sk116: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk117_decl,type,
sk117: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk118_decl,type,
sk118: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk119_decl,type,
sk119: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk120_decl,type,
sk120: '$world' ).
thf(sk121_decl,type,
sk121: '$world' ).
thf(sk122_decl,type,
sk122: '$world' ).
thf(sk123_decl,type,
sk123: '$world' ).
thf(sk124_decl,type,
sk124: '$world' ).
thf(sk125_decl,type,
sk125: '$world' ).
thf(sk126_decl,type,
sk126: '$world' ).
thf(sk127_decl,type,
sk127: '$world' ).
thf(sk128_decl,type,
sk128: '$world' ).
thf(sk129_decl,type,
sk129: '$world' ).
thf(sk130_decl,type,
sk130: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk131_decl,type,
sk131: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk132_decl,type,
sk132: '$world' > $o ).
thf(sk133_decl,type,
sk133: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk134_decl,type,
sk134: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk135_decl,type,
sk135: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk136_decl,type,
sk136: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk137_decl,type,
sk137: '$world' ).
thf(sk138_decl,type,
sk138: '$world' ).
thf(sk139_decl,type,
sk139: '$world' ).
thf(sk140_decl,type,
sk140: '$world' ).
thf(sk141_decl,type,
sk141: '$world' ).
thf(sk142_decl,type,
sk142: '$world' ).
thf(sk143_decl,type,
sk143: '$world' ).
thf(sk144_decl,type,
sk144: '$world' ).
thf(sk145_decl,type,
sk145: '$world' ).
thf(sk146_decl,type,
sk146: '$world' ).
thf(sk147_decl,type,
sk147: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk148_decl,type,
sk148: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk149_decl,type,
sk149: '$world' > $o ).
thf(sk150_decl,type,
sk150: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk151_decl,type,
sk151: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk152_decl,type,
sk152: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk153_decl,type,
sk153: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk154_decl,type,
sk154: '$world' ).
thf(sk155_decl,type,
sk155: '$world' ).
thf(sk156_decl,type,
sk156: '$world' ).
thf(sk157_decl,type,
sk157: '$world' ).
thf(sk158_decl,type,
sk158: '$world' ).
thf(sk159_decl,type,
sk159: '$world' ).
thf(sk160_decl,type,
sk160: '$world' ).
thf(sk161_decl,type,
sk161: '$world' ).
thf(sk162_decl,type,
sk162: '$world' ).
thf(sk163_decl,type,
sk163: '$world' ).
thf(sk164_decl,type,
sk164: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk165_decl,type,
sk165: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk166_decl,type,
sk166: '$world' > $o ).
thf(sk167_decl,type,
sk167: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk168_decl,type,
sk168: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk169_decl,type,
sk169: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk170_decl,type,
sk170: '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' > '$world' ).
thf(sk1_def,definition,
( sk1
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: '$world'] :
~ ( ( A @ ( sk1 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: '$world'] :
~ ( ( A @ ( sk2 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: '$world'] :
~ ( ( A @ ( sk3 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: '$world'] :
~ ( ( A @ ( sk4 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: '$world'] :
~ ( ( A @ ( sk5 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: '$world'] :
~ ( ( A @ ( sk6 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: '$world'] :
~ ( ( A @ ( sk7 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: '$world'] :
~ ( ( A @ ( sk8 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: '$world'] :
~ ( ( A @ ( sk9 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( ^ [A: '$world'] :
@+[B: '$world'] : ( B @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( ^ [A: '$world'] :
@+[B: '$world'] :
~ ( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p0 ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: '$world'] :
@+[B: '$world'] :
~ ( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [A: '$world',B: '$world',C: '$world'] :
@+[D: '$world'] :
~ ( ( D @ ( A @ '$accessible_world' ) )
=> ~ ( D @ p0 ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: '$world',B: '$world'] :
@+[C: '$world'] :
~ ( ( C @ ( A @ '$accessible_world' ) )
=> ~ ( C @ p0 ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( ^ [A: '$world',B: '$world'] :
@+[C: '$world'] :
~ ( ( C @ ( A @ '$accessible_world' ) )
=> ( C @ p0 ) ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk19_def,definition,
( sk19
= ( @+[A: '$world'] :
~ ( ( A @ ( sk18 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk20_def,definition,
( sk20
= ( @+[A: '$world'] :
~ ( ( A @ ( sk19 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk21_def,definition,
( sk21
= ( @+[A: '$world'] :
~ ( ( A @ ( sk20 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk22_def,definition,
( sk22
= ( @+[A: '$world'] :
~ ( ( A @ ( sk21 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk23_def,definition,
( sk23
= ( @+[A: '$world'] :
~ ( ( A @ ( sk22 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk24_def,definition,
( sk24
= ( @+[A: '$world'] :
~ ( ( A @ ( sk23 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( @+[A: '$world'] :
~ ( ( A @ ( sk24 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk26_def,definition,
( sk26
= ( @+[A: '$world'] :
~ ( ( A @ ( sk25 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( @+[A: '$world'] :
~ ( ( A @ ( sk26 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk28_def,definition,
( sk28
= ( ^ [A: '$world',B: '$world'] :
@+[C: '$world'] : ( C @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk29_def,definition,
( sk29
= ( ^ [A: '$world',B: '$world'] :
@+[C: '$world'] :
~ ( ( C @ ( A @ '$accessible_world' ) )
=> ( C @ p0 ) ) ) ) ).
thf(sk31_def,definition,
( sk31
= ( ^ [A: '$world',B: '$world'] :
@+[C: '$world'] :
~ ( ( C @ ( A @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk32_def,definition,
( sk32
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world'] :
@+[E: '$world'] :
~ ( ( E @ ( A @ '$accessible_world' ) )
=> ~ ( E @ p0 ) ) ) ) ).
thf(sk33_def,definition,
( sk33
= ( ^ [A: '$world',B: '$world',C: '$world'] :
@+[D: '$world'] :
~ ( ( D @ ( A @ '$accessible_world' ) )
=> ~ ( D @ p0 ) ) ) ) ).
thf(sk34_def,definition,
( sk34
= ( ^ [A: '$world',B: '$world',C: '$world'] :
@+[D: '$world'] :
~ ( ( D @ ( A @ '$accessible_world' ) )
=> ( D @ p0 ) ) ) ) ).
thf(sk35_def,definition,
( sk35
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk36_def,definition,
( sk36
= ( @+[A: '$world'] :
~ ( ( A @ ( sk35 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk37_def,definition,
( sk37
= ( @+[A: '$world'] :
~ ( ( A @ ( sk36 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk38_def,definition,
( sk38
= ( @+[A: '$world'] :
~ ( ( A @ ( sk37 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk39_def,definition,
( sk39
= ( @+[A: '$world'] :
~ ( ( A @ ( sk38 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk40_def,definition,
( sk40
= ( @+[A: '$world'] :
~ ( ( A @ ( sk39 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk41_def,definition,
( sk41
= ( @+[A: '$world'] :
~ ( ( A @ ( sk40 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk42_def,definition,
( sk42
= ( @+[A: '$world'] :
~ ( ( A @ ( sk41 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk43_def,definition,
( sk43
= ( @+[A: '$world'] :
~ ( ( A @ ( sk42 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk44_def,definition,
( sk44
= ( @+[A: '$world'] :
~ ( ( A @ ( sk43 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk45_def,definition,
( sk45
= ( ^ [A: '$world',B: '$world',C: '$world'] :
@+[D: '$world'] : ( D @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk46_def,definition,
( sk46
= ( ^ [A: '$world',B: '$world',C: '$world'] :
@+[D: '$world'] :
~ ( ( D @ ( A @ '$accessible_world' ) )
=> ( D @ p0 ) ) ) ) ).
thf(sk48_def,definition,
( sk48
= ( ^ [A: '$world',B: '$world',C: '$world'] :
@+[D: '$world'] :
~ ( ( D @ ( A @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk49_def,definition,
( sk49
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world'] :
@+[F: '$world'] :
~ ( ( F @ ( A @ '$accessible_world' ) )
=> ~ ( F @ p0 ) ) ) ) ).
thf(sk50_def,definition,
( sk50
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world'] :
@+[E: '$world'] :
~ ( ( E @ ( A @ '$accessible_world' ) )
=> ~ ( E @ p0 ) ) ) ) ).
thf(sk51_def,definition,
( sk51
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world'] :
@+[E: '$world'] :
~ ( ( E @ ( A @ '$accessible_world' ) )
=> ( E @ p0 ) ) ) ) ).
thf(sk52_def,definition,
( sk52
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk53_def,definition,
( sk53
= ( @+[A: '$world'] :
~ ( ( A @ ( sk52 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk54_def,definition,
( sk54
= ( @+[A: '$world'] :
~ ( ( A @ ( sk53 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk55_def,definition,
( sk55
= ( @+[A: '$world'] :
~ ( ( A @ ( sk54 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk56_def,definition,
( sk56
= ( @+[A: '$world'] :
~ ( ( A @ ( sk55 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk57_def,definition,
( sk57
= ( @+[A: '$world'] :
~ ( ( A @ ( sk56 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk58_def,definition,
( sk58
= ( @+[A: '$world'] :
~ ( ( A @ ( sk57 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk59_def,definition,
( sk59
= ( @+[A: '$world'] :
~ ( ( A @ ( sk58 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk60_def,definition,
( sk60
= ( @+[A: '$world'] :
~ ( ( A @ ( sk59 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk61_def,definition,
( sk61
= ( @+[A: '$world'] :
~ ( ( A @ ( sk60 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk62_def,definition,
( sk62
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world'] :
@+[E: '$world'] : ( E @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk63_def,definition,
( sk63
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world'] :
@+[E: '$world'] :
~ ( ( E @ ( A @ '$accessible_world' ) )
=> ( E @ p0 ) ) ) ) ).
thf(sk65_def,definition,
( sk65
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world'] :
@+[E: '$world'] :
~ ( ( E @ ( A @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk66_def,definition,
( sk66
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world'] :
@+[G: '$world'] :
~ ( ( G @ ( A @ '$accessible_world' ) )
=> ~ ( G @ p0 ) ) ) ) ).
thf(sk67_def,definition,
( sk67
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world'] :
@+[F: '$world'] :
~ ( ( F @ ( A @ '$accessible_world' ) )
=> ~ ( F @ p0 ) ) ) ) ).
thf(sk68_def,definition,
( sk68
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world'] :
@+[F: '$world'] :
~ ( ( F @ ( A @ '$accessible_world' ) )
=> ( F @ p0 ) ) ) ) ).
thf(sk69_def,definition,
( sk69
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk70_def,definition,
( sk70
= ( @+[A: '$world'] :
~ ( ( A @ ( sk69 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk71_def,definition,
( sk71
= ( @+[A: '$world'] :
~ ( ( A @ ( sk70 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk72_def,definition,
( sk72
= ( @+[A: '$world'] :
~ ( ( A @ ( sk71 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk73_def,definition,
( sk73
= ( @+[A: '$world'] :
~ ( ( A @ ( sk72 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk74_def,definition,
( sk74
= ( @+[A: '$world'] :
~ ( ( A @ ( sk73 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk75_def,definition,
( sk75
= ( @+[A: '$world'] :
~ ( ( A @ ( sk74 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk76_def,definition,
( sk76
= ( @+[A: '$world'] :
~ ( ( A @ ( sk75 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk77_def,definition,
( sk77
= ( @+[A: '$world'] :
~ ( ( A @ ( sk76 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk78_def,definition,
( sk78
= ( @+[A: '$world'] :
~ ( ( A @ ( sk77 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk79_def,definition,
( sk79
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world'] :
@+[F: '$world'] : ( F @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk80_def,definition,
( sk80
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world'] :
@+[F: '$world'] :
~ ( ( F @ ( A @ '$accessible_world' ) )
=> ( F @ p0 ) ) ) ) ).
thf(sk82_def,definition,
( sk82
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world'] :
@+[F: '$world'] :
~ ( ( F @ ( A @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk83_def,definition,
( sk83
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world'] :
@+[H: '$world'] :
~ ( ( H @ ( A @ '$accessible_world' ) )
=> ~ ( H @ p0 ) ) ) ) ).
thf(sk84_def,definition,
( sk84
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world'] :
@+[G: '$world'] :
~ ( ( G @ ( A @ '$accessible_world' ) )
=> ~ ( G @ p0 ) ) ) ) ).
thf(sk85_def,definition,
( sk85
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world'] :
@+[G: '$world'] :
~ ( ( G @ ( A @ '$accessible_world' ) )
=> ( G @ p0 ) ) ) ) ).
thf(sk86_def,definition,
( sk86
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk87_def,definition,
( sk87
= ( @+[A: '$world'] :
~ ( ( A @ ( sk86 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk88_def,definition,
( sk88
= ( @+[A: '$world'] :
~ ( ( A @ ( sk87 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk89_def,definition,
( sk89
= ( @+[A: '$world'] :
~ ( ( A @ ( sk88 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk90_def,definition,
( sk90
= ( @+[A: '$world'] :
~ ( ( A @ ( sk89 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk91_def,definition,
( sk91
= ( @+[A: '$world'] :
~ ( ( A @ ( sk90 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk92_def,definition,
( sk92
= ( @+[A: '$world'] :
~ ( ( A @ ( sk91 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk93_def,definition,
( sk93
= ( @+[A: '$world'] :
~ ( ( A @ ( sk92 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk94_def,definition,
( sk94
= ( @+[A: '$world'] :
~ ( ( A @ ( sk93 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk95_def,definition,
( sk95
= ( @+[A: '$world'] :
~ ( ( A @ ( sk94 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk96_def,definition,
( sk96
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world'] :
@+[G: '$world'] : ( G @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk97_def,definition,
( sk97
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world'] :
@+[G: '$world'] :
~ ( ( G @ ( A @ '$accessible_world' ) )
=> ( G @ p0 ) ) ) ) ).
thf(sk99_def,definition,
( sk99
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world'] :
@+[G: '$world'] :
~ ( ( G @ ( A @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk100_def,definition,
( sk100
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world'] :
@+[I: '$world'] :
~ ( ( I @ ( A @ '$accessible_world' ) )
=> ~ ( I @ p0 ) ) ) ) ).
thf(sk101_def,definition,
( sk101
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world'] :
@+[H: '$world'] :
~ ( ( H @ ( A @ '$accessible_world' ) )
=> ~ ( H @ p0 ) ) ) ) ).
thf(sk102_def,definition,
( sk102
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world'] :
@+[H: '$world'] :
~ ( ( H @ ( A @ '$accessible_world' ) )
=> ( H @ p0 ) ) ) ) ).
thf(sk103_def,definition,
( sk103
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk104_def,definition,
( sk104
= ( @+[A: '$world'] :
~ ( ( A @ ( sk103 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk105_def,definition,
( sk105
= ( @+[A: '$world'] :
~ ( ( A @ ( sk104 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk106_def,definition,
( sk106
= ( @+[A: '$world'] :
~ ( ( A @ ( sk105 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk107_def,definition,
( sk107
= ( @+[A: '$world'] :
~ ( ( A @ ( sk106 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk108_def,definition,
( sk108
= ( @+[A: '$world'] :
~ ( ( A @ ( sk107 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk109_def,definition,
( sk109
= ( @+[A: '$world'] :
~ ( ( A @ ( sk108 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk110_def,definition,
( sk110
= ( @+[A: '$world'] :
~ ( ( A @ ( sk109 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk111_def,definition,
( sk111
= ( @+[A: '$world'] :
~ ( ( A @ ( sk110 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk112_def,definition,
( sk112
= ( @+[A: '$world'] :
~ ( ( A @ ( sk111 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk113_def,definition,
( sk113
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world'] :
@+[H: '$world'] : ( H @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk114_def,definition,
( sk114
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world'] :
@+[H: '$world'] :
~ ( ( H @ ( A @ '$accessible_world' ) )
=> ( H @ p0 ) ) ) ) ).
thf(sk116_def,definition,
( sk116
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world'] :
@+[H: '$world'] :
~ ( ( H @ ( A @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk117_def,definition,
( sk117
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world'] :
@+[J: '$world'] :
~ ( ( J @ ( A @ '$accessible_world' ) )
=> ~ ( J @ p0 ) ) ) ) ).
thf(sk118_def,definition,
( sk118
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world'] :
@+[I: '$world'] :
~ ( ( I @ ( A @ '$accessible_world' ) )
=> ~ ( I @ p0 ) ) ) ) ).
thf(sk119_def,definition,
( sk119
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world'] :
@+[I: '$world'] :
~ ( ( I @ ( A @ '$accessible_world' ) )
=> ( I @ p0 ) ) ) ) ).
thf(sk120_def,definition,
( sk120
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk121_def,definition,
( sk121
= ( @+[A: '$world'] :
~ ( ( A @ ( sk120 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk122_def,definition,
( sk122
= ( @+[A: '$world'] :
~ ( ( A @ ( sk121 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk123_def,definition,
( sk123
= ( @+[A: '$world'] :
~ ( ( A @ ( sk122 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk124_def,definition,
( sk124
= ( @+[A: '$world'] :
~ ( ( A @ ( sk123 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk125_def,definition,
( sk125
= ( @+[A: '$world'] :
~ ( ( A @ ( sk124 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk126_def,definition,
( sk126
= ( @+[A: '$world'] :
~ ( ( A @ ( sk125 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk127_def,definition,
( sk127
= ( @+[A: '$world'] :
~ ( ( A @ ( sk126 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk128_def,definition,
( sk128
= ( @+[A: '$world'] :
~ ( ( A @ ( sk127 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk129_def,definition,
( sk129
= ( @+[A: '$world'] :
~ ( ( A @ ( sk128 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk130_def,definition,
( sk130
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world'] :
@+[I: '$world'] : ( I @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk131_def,definition,
( sk131
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world'] :
@+[I: '$world'] :
~ ( ( I @ ( A @ '$accessible_world' ) )
=> ( I @ p0 ) ) ) ) ).
thf(sk133_def,definition,
( sk133
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world'] :
@+[I: '$world'] :
~ ( ( I @ ( A @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk134_def,definition,
( sk134
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world'] :
@+[K: '$world'] :
~ ( ( K @ ( A @ '$accessible_world' ) )
=> ~ ( K @ p0 ) ) ) ) ).
thf(sk135_def,definition,
( sk135
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world'] :
@+[J: '$world'] :
~ ( ( J @ ( A @ '$accessible_world' ) )
=> ~ ( J @ p0 ) ) ) ) ).
thf(sk136_def,definition,
( sk136
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world'] :
@+[J: '$world'] :
~ ( ( J @ ( A @ '$accessible_world' ) )
=> ( J @ p0 ) ) ) ) ).
thf(sk137_def,definition,
( sk137
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk138_def,definition,
( sk138
= ( @+[A: '$world'] :
~ ( ( A @ ( sk137 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk139_def,definition,
( sk139
= ( @+[A: '$world'] :
~ ( ( A @ ( sk138 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk140_def,definition,
( sk140
= ( @+[A: '$world'] :
~ ( ( A @ ( sk139 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk141_def,definition,
( sk141
= ( @+[A: '$world'] :
~ ( ( A @ ( sk140 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk142_def,definition,
( sk142
= ( @+[A: '$world'] :
~ ( ( A @ ( sk141 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk143_def,definition,
( sk143
= ( @+[A: '$world'] :
~ ( ( A @ ( sk142 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk144_def,definition,
( sk144
= ( @+[A: '$world'] :
~ ( ( A @ ( sk143 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk145_def,definition,
( sk145
= ( @+[A: '$world'] :
~ ( ( A @ ( sk144 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk146_def,definition,
( sk146
= ( @+[A: '$world'] :
~ ( ( A @ ( sk145 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk147_def,definition,
( sk147
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world'] :
@+[J: '$world'] : ( J @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk148_def,definition,
( sk148
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world'] :
@+[J: '$world'] :
~ ( ( J @ ( A @ '$accessible_world' ) )
=> ( J @ p0 ) ) ) ) ).
thf(sk150_def,definition,
( sk150
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world'] :
@+[J: '$world'] :
~ ( ( J @ ( A @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk151_def,definition,
( sk151
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world',K: '$world'] :
@+[L: '$world'] :
~ ( ( L @ ( A @ '$accessible_world' ) )
=> ~ ( L @ p0 ) ) ) ) ).
thf(sk152_def,definition,
( sk152
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world'] :
@+[K: '$world'] :
~ ( ( K @ ( A @ '$accessible_world' ) )
=> ~ ( K @ p0 ) ) ) ) ).
thf(sk153_def,definition,
( sk153
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world'] :
@+[K: '$world'] :
~ ( ( K @ ( A @ '$accessible_world' ) )
=> ( K @ p0 ) ) ) ) ).
thf(sk154_def,definition,
( sk154
= ( @+[A: '$world'] :
~ ( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk155_def,definition,
( sk155
= ( @+[A: '$world'] :
~ ( ( A @ ( sk154 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ( I @ p0 )
| ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk156_def,definition,
( sk156
= ( @+[A: '$world'] :
~ ( ( A @ ( sk155 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ( H @ p0 )
| ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk157_def,definition,
( sk157
= ( @+[A: '$world'] :
~ ( ( A @ ( sk156 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ( G @ p0 )
| ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk158_def,definition,
( sk158
= ( @+[A: '$world'] :
~ ( ( A @ ( sk157 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ( F @ p0 )
| ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk159_def,definition,
( sk159
= ( @+[A: '$world'] :
~ ( ( A @ ( sk158 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ( E @ p0 )
| ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk160_def,definition,
( sk160
= ( @+[A: '$world'] :
~ ( ( A @ ( sk159 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ( D @ p0 )
| ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ).
thf(sk161_def,definition,
( sk161
= ( @+[A: '$world'] :
~ ( ( A @ ( sk160 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ( C @ p0 )
| ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) ) ) ) ) ) ) ).
thf(sk162_def,definition,
( sk162
= ( @+[A: '$world'] :
~ ( ( A @ ( sk161 @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ( B @ p0 )
| ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) ) ) ) ) ) ).
thf(sk163_def,definition,
( sk163
= ( @+[A: '$world'] :
~ ( ( A @ ( sk162 @ '$accessible_world' ) )
=> ( ( A @ p0 )
| ? [B: '$world'] :
( ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) ) ) ) ) ) ).
thf(sk164_def,definition,
( sk164
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world'] :
@+[K: '$world'] : ( K @ ( A @ '$accessible_world' ) ) ) ) ).
thf(sk165_def,definition,
( sk165
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world'] :
@+[K: '$world'] :
~ ( ( K @ ( A @ '$accessible_world' ) )
=> ( K @ p0 ) ) ) ) ).
thf(sk167_def,definition,
( sk167
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world'] :
@+[K: '$world'] :
~ ( ( K @ ( A @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) ) ) ).
thf(sk168_def,definition,
( sk168
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world',K: '$world',L: '$world'] :
@+[M: '$world'] :
~ ( ( M @ ( A @ '$accessible_world' ) )
=> ~ ( M @ p0 ) ) ) ) ).
thf(sk169_def,definition,
( sk169
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world',K: '$world'] :
@+[L: '$world'] :
~ ( ( L @ ( A @ '$accessible_world' ) )
=> ~ ( L @ p0 ) ) ) ) ).
thf(sk170_def,definition,
( sk170
= ( ^ [A: '$world',B: '$world',C: '$world',D: '$world',E: '$world',F: '$world',G: '$world',H: '$world',I: '$world',J: '$world',K: '$world'] :
@+[L: '$world'] :
~ ( ( L @ ( A @ '$accessible_world' ) )
=> ( L @ p0 ) ) ) ) ).
thf(1,conjecture,
( ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> $false )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> $false )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> $false )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> $false )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> $false )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> $false )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> $false )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> $false )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> $false )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ~ ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p0 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> $false )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',10) ).
thf(2,negated_conjecture,
~ ( ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> $false )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> $false )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> $false )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> $false )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> $false )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> $false )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> $false )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> $false )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> $false )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ~ ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p0 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> $false )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
~ ( K @ ( J @ '$accessible_world' ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
~ ( J @ ( I @ '$accessible_world' ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
~ ( I @ ( H @ '$accessible_world' ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
~ ( H @ ( G @ '$accessible_world' ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
~ ( G @ ( F @ '$accessible_world' ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
~ ( F @ ( E @ '$accessible_world' ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
~ ( E @ ( D @ '$accessible_world' ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
~ ( D @ ( C @ '$accessible_world' ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
~ ( C @ ( B @ '$accessible_world' ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ~ ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p0 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ! [B: '$world'] :
~ ( B @ ( A @ '$accessible_world' ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ( ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ? [K: '$world'] : ( K @ ( J @ '$accessible_world' ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ? [J: '$world'] : ( J @ ( I @ '$accessible_world' ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p0 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p0 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ? [I: '$world'] : ( I @ ( H @ '$accessible_world' ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p0 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p0 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ? [H: '$world'] : ( H @ ( G @ '$accessible_world' ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p0 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p0 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ? [G: '$world'] : ( G @ ( F @ '$accessible_world' ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p0 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p0 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ? [F: '$world'] : ( F @ ( E @ '$accessible_world' ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p0 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p0 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ? [E: '$world'] : ( E @ ( D @ '$accessible_world' ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p0 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p0 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ? [D: '$world'] : ( D @ ( C @ '$accessible_world' ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ~ ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ p0 )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p0 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p0 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ~ ? [C: '$world'] : ( C @ ( B @ '$accessible_world' ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ~ ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p0 ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ( A @ p0 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p0 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p0 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p0 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ~ ? [B: '$world'] : ( B @ ( A @ '$accessible_world' ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ( J @ p0 )
| ? [K: '$world'] :
( ~ ( K @ p0 )
& ( K @ ( J @ '$accessible_world' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
! [ZZZZZZZZZZZZZQ: '$world',ZZZZZZZZZZZZZP: '$world',ZZZZZZZZZZZZZO: '$world',ZZZZZZZZZZZZZN: '$world',ZZZZZZZZZZZZZM: '$world',ZZZZZZZZZZZZZL: '$world',ZZZZZZZZZZZZZK: '$world',ZZZZZZZZZZZZZJ: '$world',ZZZZZZZZZZZZZI: '$world',ZZZZZZZZZZZZZH: '$world',ZZZZZZZZZZZZZG: '$world',ZZZZZZZZZZZZZF: '$world',ZZZZZZZZZZZZZE: '$world',ZZZZZZZZZZZZZD: '$world',ZZZZZZZZZZZZZC: '$world',ZZZZZZZZZZZZZB: '$world',ZZZZZZZZZZZZZA: '$world',ZZZZZZZZZZZZZ: '$world',ZZZZZZZZZZZZY: '$world',ZZZZZZZZZZZZX: '$world',ZZZZZZZZZZZZW: '$world',ZZZZZZZZZZZZV: '$world',ZZZZZZZZZZZZU: '$world',ZZZZZZZZZZZZT: '$world',ZZZZZZZZZZZZS: '$world',ZZZZZZZZZZZZR: '$world',ZZZZZZZZZZZZQ: '$world',ZZZZZZZZZZZZP: '$world',ZZZZZZZZZZZZO: '$world',ZZZZZZZZZZZZN: '$world',ZZZZZZZZZZZZM: '$world',ZZZZZZZZZZZZL: '$world',ZZZZZZZZZZZZK: '$world',ZZZZZZZZZZZZJ: '$world',ZZZZZZZZZZZZI: '$world',ZZZZZZZZZZZZH: '$world',ZZZZZZZZZZZZG: '$world',ZZZZZZZZZZZZF: '$world',ZZZZZZZZZZZZE: '$world',ZZZZZZZZZZZZD: '$world',ZZZZZZZZZZZZC: '$world',ZZZZZZZZZZZZB: '$world',ZZZZZZZZZZZZA: '$world',ZZZZZZZZZZZZ: '$world',ZZZZZZZZZZZY: '$world',ZZZZZZZZZZZX: '$world',ZZZZZZZZZZZW: '$world',ZZZZZZZZZZZV: '$world',ZZZZZZZZZZZU: '$world',ZZZZZZZZZZZT: '$world',ZZZZZZZZZZZS: '$world',ZZZZZZZZZZZR: '$world',ZZZZZZZZZZZQ: '$world',ZZZZZZZZZZZP: '$world',ZZZZZZZZZZZO: '$world',ZZZZZZZZZZZN: '$world',ZZZZZZZZZZZM: '$world',ZZZZZZZZZZZL: '$world',ZZZZZZZZZZZK: '$world',ZZZZZZZZZZZJ: '$world',ZZZZZZZZZZZI: '$world',ZZZZZZZZZZZH: '$world',ZZZZZZZZZZZG: '$world',ZZZZZZZZZZZF: '$world',ZZZZZZZZZZZE: '$world',ZZZZZZZZZZZD: '$world',ZZZZZZZZZZZC: '$world',ZZZZZZZZZZZB: '$world',ZZZZZZZZZZZA: '$world',ZZZZZZZZZZZ: '$world',ZZZZZZZZZZY: '$world',ZZZZZZZZZZX: '$world',ZZZZZZZZZZW: '$world',ZZZZZZZZZZV: '$world',ZZZZZZZZZZU: '$world',ZZZZZZZZZZT: '$world',ZZZZZZZZZZS: '$world',ZZZZZZZZZZR: '$world',ZZZZZZZZZZQ: '$world',ZZZZZZZZZZP: '$world',ZZZZZZZZZZO: '$world',ZZZZZZZZZZN: '$world',ZZZZZZZZZZM: '$world',ZZZZZZZZZZL: '$world',ZZZZZZZZZZK: '$world',ZZZZZZZZZZJ: '$world',ZZZZZZZZZZI: '$world',ZZZZZZZZZZH: '$world',ZZZZZZZZZZG: '$world',ZZZZZZZZZZF: '$world',ZZZZZZZZZZE: '$world',ZZZZZZZZZZD: '$world',ZZZZZZZZZZC: '$world',ZZZZZZZZZZB: '$world',ZZZZZZZZZZA: '$world',ZZZZZZZZZZ: '$world',ZZZZZZZZZY: '$world',ZZZZZZZZZX: '$world',ZZZZZZZZZW: '$world',ZZZZZZZZZV: '$world',ZZZZZZZZZU: '$world',ZZZZZZZZZT: '$world',ZZZZZZZZZS: '$world',ZZZZZZZZZR: '$world',ZZZZZZZZZQ: '$world',ZZZZZZZZZP: '$world',ZZZZZZZZZO: '$world',ZZZZZZZZZN: '$world',ZZZZZZZZZM: '$world',ZZZZZZZZZL: '$world',ZZZZZZZZZK: '$world',ZZZZZZZZZJ: '$world',ZZZZZZZZZI: '$world',ZZZZZZZZZH: '$world',ZZZZZZZZZG: '$world',ZZZZZZZZZF: '$world',ZZZZZZZZZE: '$world',ZZZZZZZZZD: '$world',ZZZZZZZZZC: '$world',ZZZZZZZZZB: '$world',ZZZZZZZZZA: '$world',ZZZZZZZZZ: '$world',ZZZZZZZZY: '$world',ZZZZZZZZX: '$world',ZZZZZZZZW: '$world',ZZZZZZZZV: '$world',ZZZZZZZZU: '$world',ZZZZZZZZT: '$world',ZZZZZZZZS: '$world',ZZZZZZZZR: '$world',ZZZZZZZZQ: '$world',ZZZZZZZZP: '$world',ZZZZZZZZO: '$world',ZZZZZZZZN: '$world',ZZZZZZZZM: '$world',ZZZZZZZZL: '$world',ZZZZZZZZK: '$world',ZZZZZZZZJ: '$world',ZZZZZZZZI: '$world',ZZZZZZZZH: '$world',ZZZZZZZZG: '$world',ZZZZZZZZF: '$world',ZZZZZZZZE: '$world',ZZZZZZZZD: '$world',ZZZZZZZZC: '$world',ZZZZZZZZB: '$world',ZZZZZZZZA: '$world',ZZZZZZZZ: '$world',ZZZZZZZY: '$world',ZZZZZZZX: '$world',ZZZZZZZW: '$world',ZZZZZZZV: '$world',ZZZZZZZU: '$world',ZZZZZZZT: '$world',ZZZZZZZS: '$world',ZZZZZZZR: '$world',ZZZZZZZQ: '$world',ZZZZZZZP: '$world',ZZZZZZZO: '$world',ZZZZZZZN: '$world',ZZZZZZZM: '$world',ZZZZZZZL: '$world',ZZZZZZZK: '$world',ZZZZZZZJ: '$world',ZZZZZZZI: '$world',ZZZZZZZH: '$world',ZZZZZZZG: '$world',ZZZZZZZF: '$world',ZZZZZZZE: '$world',ZZZZZZZD: '$world',ZZZZZZZC: '$world',ZZZZZZZB: '$world',ZZZZZZZA: '$world',ZZZZZZZ: '$world',ZZZZZZY: '$world',ZZZZZZX: '$world',ZZZZZZW: '$world',ZZZZZZV: '$world',ZZZZZZU: '$world',ZZZZZZT: '$world',ZZZZZZS: '$world',ZZZZZZR: '$world',ZZZZZZQ: '$world',ZZZZZZP: '$world',ZZZZZZO: '$world',ZZZZZZN: '$world',ZZZZZZM: '$world',ZZZZZZL: '$world',ZZZZZZK: '$world',ZZZZZZJ: '$world',ZZZZZZI: '$world',ZZZZZZH: '$world',ZZZZZZG: '$world',ZZZZZZF: '$world',ZZZZZZE: '$world',ZZZZZZD: '$world',ZZZZZZC: '$world',ZZZZZZB: '$world',ZZZZZZA: '$world',ZZZZZZ: '$world',ZZZZZY: '$world',ZZZZZX: '$world',ZZZZZW: '$world',ZZZZZV: '$world',ZZZZZU: '$world',ZZZZZT: '$world',ZZZZZS: '$world',ZZZZZR: '$world',ZZZZZQ: '$world',ZZZZZP: '$world',ZZZZZO: '$world',ZZZZZN: '$world',ZZZZZM: '$world',ZZZZZL: '$world',ZZZZZK: '$world',ZZZZZJ: '$world',ZZZZZI: '$world',ZZZZZH: '$world',ZZZZZG: '$world',ZZZZZF: '$world',ZZZZZE: '$world',ZZZZZD: '$world',ZZZZZC: '$world',ZZZZZB: '$world',ZZZZZA: '$world',ZZZZZ: '$world',ZZZZY: '$world',ZZZZX: '$world',ZZZZW: '$world',ZZZZV: '$world',ZZZZU: '$world',ZZZZT: '$world',ZZZZS: '$world',ZZZZR: '$world',ZZZZQ: '$world',ZZZZP: '$world',ZZZZO: '$world',ZZZZN: '$world',ZZZZM: '$world',ZZZZL: '$world',ZZZZK: '$world',ZZZZJ: '$world',ZZZZI: '$world',ZZZZH: '$world',ZZZZG: '$world',ZZZZF: '$world',ZZZZE: '$world',ZZZZD: '$world',ZZZZC: '$world',ZZZZB: '$world',ZZZZA: '$world',ZZZZ: '$world',ZZZY: '$world',ZZZX: '$world',ZZZW: '$world',ZZZV: '$world',ZZZU: '$world',ZZZT: '$world',ZZZS: '$world',ZZZR: '$world',ZZZQ: '$world',ZZZP: '$world',ZZZO: '$world',ZZZN: '$world',ZZZM: '$world',ZZZL: '$world',ZZZK: '$world',ZZZJ: '$world',ZZZI: '$world',ZZZH: '$world',ZZZG: '$world',ZZZF: '$world',ZZZE: '$world',ZZZD: '$world',ZZZC: '$world',ZZZB: '$world',ZZZA: '$world',ZZZ: '$world',ZZY: '$world',ZZX: '$world',ZZW: '$world',ZZV: '$world',ZZU: '$world',ZZT: '$world',ZZS: '$world',ZZR: '$world',ZZQ: '$world',ZZP: '$world',ZZO: '$world',ZZN: '$world',ZZM: '$world',ZZL: '$world',ZZK: '$world',ZZJ: '$world',ZZI: '$world',ZZH: '$world',ZZG: '$world',ZZF: '$world',ZZE: '$world',ZZD: '$world',ZZC: '$world',ZZB: '$world',ZZA: '$world',ZZ: '$world',ZY: '$world',ZX: '$world',ZW: '$world',ZV: '$world',ZU: '$world',ZT: '$world',ZS: '$world',ZR: '$world',ZQ: '$world',ZP: '$world',ZO: '$world',ZN: '$world',ZM: '$world',ZL: '$world',ZK: '$world',ZJ: '$world',ZI: '$world',ZH: '$world',ZG: '$world',ZF: '$world',ZE: '$world',ZD: '$world',ZC: '$world',ZB: '$world',ZA: '$world',Z: '$world',Y: '$world',X: '$world',W: '$world',V: '$world',U: '$world',T: '$world',S: '$world',R: '$world',Q: '$world',P: '$world',O: '$world',N: '$world',M: '$world',L: '$world',K: '$world',J: '$world',I: '$world',H: '$world',G: '$world',F: '$world',E: '$world',D: '$world',C: '$world',B: '$world',A: '$world'] :
( ( ~ ( ZZZZZZZZZZZZZG @ ( ZZZZZZZZZZZZZH @ ( ZZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZZQ @ sk170 ) ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZZP @ '$accessible_world' ) )
| ( ZZZZZZZZZZZZZP @ p0 )
| ~ ( ZZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZH @ ( ZZZZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZG @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZZG @ ( ZZZZZZZZZZZZZH @ ( ZZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZZQ @ sk170 ) ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZZP @ '$accessible_world' ) )
| ( ZZZZZZZZZZZZZP @ p0 )
| ~ ( ZZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZH @ ( ZZZZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZG @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZV @ ( ZZZZZZZZZZZZW @ ( ZZZZZZZZZZZZX @ ( ZZZZZZZZZZZZY @ ( ZZZZZZZZZZZZZ @ ( ZZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZZF @ sk169 ) ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZZZZF @ ( ZZZZZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZE @ p0 )
| ~ ( ZZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZ @ ( ZZZZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZY @ ( ZZZZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZX @ ( ZZZZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZW @ ( ZZZZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZV @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZV @ ( ZZZZZZZZZZZZW @ ( ZZZZZZZZZZZZX @ ( ZZZZZZZZZZZZY @ ( ZZZZZZZZZZZZZ @ ( ZZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZZF @ sk169 ) ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZF @ ( ZZZZZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZE @ p0 )
| ~ ( ZZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZZ @ ( ZZZZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZY @ ( ZZZZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZX @ ( ZZZZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZW @ ( ZZZZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZV @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZR @ ( ZZZZZZZZZZZZT @ ( ZZZZZZZZZZZZU @ sk168 ) ) ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZZZU @ ( ZZZZZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZT @ ( ZZZZZZZZZZZZR @ '$accessible_world' ) )
| ( ZZZZZZZZZZZZR @ sk166 )
| ~ ( ZZZZZZZZZZZZR @ ( ZZZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZI @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZR @ ( ZZZZZZZZZZZZT @ ( ZZZZZZZZZZZZU @ sk168 ) ) ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZU @ ( ZZZZZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZT @ ( ZZZZZZZZZZZZR @ '$accessible_world' ) )
| ( ZZZZZZZZZZZZR @ sk166 )
| ~ ( ZZZZZZZZZZZZR @ ( ZZZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZI @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZZZZZZZR @ sk166 )
| ~ ( ZZZZZZZZZZZZS @ p0 )
| ~ ( ZZZZZZZZZZZZS @ ( ZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZR @ sk167 ) ) ) ) ) ) ) ) ) @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZR @ ( ZZZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZI @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZZZZZZZR @ sk166 )
| ( ZZZZZZZZZZZZI @ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZR @ sk167 ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZR @ ( ZZZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZQ @ ( ZZZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZP @ ( ZZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZO @ ( ZZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZN @ ( ZZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZM @ ( ZZZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZL @ ( ZZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZK @ ( ZZZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZJ @ ( ZZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZI @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZH @ p0 )
| ~ ( ZZZZZZZZZZZZH @ ( ZZZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZG @ ( ZZZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZW @ ( ZZZZZZZZZZZX @ ( ZZZZZZZZZZZY @ ( ZZZZZZZZZZZZ @ ( ZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZF @ sk165 ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZZZF @ ( ZZZZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZ @ ( ZZZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZY @ ( ZZZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZX @ ( ZZZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZW @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZZH @ p0 )
| ~ ( ZZZZZZZZZZZZH @ ( ZZZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZG @ ( ZZZZZZZZZZZZF @ '$accessible_world' ) )
| ( ZZZZZZZZZZZW @ ( ZZZZZZZZZZZX @ ( ZZZZZZZZZZZY @ ( ZZZZZZZZZZZZ @ ( ZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZF @ sk165 ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZF @ ( ZZZZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZE @ ( ZZZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZD @ ( ZZZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZC @ ( ZZZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZB @ ( ZZZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZA @ ( ZZZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZZ @ ( ZZZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZY @ ( ZZZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZX @ ( ZZZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZW @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZM @ ( ZZZZZZZZZZZN @ ( ZZZZZZZZZZZO @ ( ZZZZZZZZZZZP @ ( ZZZZZZZZZZZQ @ ( ZZZZZZZZZZZR @ ( ZZZZZZZZZZZS @ ( ZZZZZZZZZZZT @ ( ZZZZZZZZZZZU @ ( ZZZZZZZZZZZV @ sk164 ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZV @ ( ZZZZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZU @ ( ZZZZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZT @ ( ZZZZZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZS @ ( ZZZZZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZR @ ( ZZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZQ @ ( ZZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZP @ ( ZZZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZO @ ( ZZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZN @ ( ZZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZM @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk163 @ p0 )
& ( ( ZZZZZZZZZZZL @ p0 )
| ~ ( ZZZZZZZZZZZL @ ( sk163 @ '$accessible_world' ) ) )
& ( sk163 @ ( sk162 @ '$accessible_world' ) )
& ( sk162 @ ( sk161 @ '$accessible_world' ) )
& ( sk161 @ ( sk160 @ '$accessible_world' ) )
& ( sk160 @ ( sk159 @ '$accessible_world' ) )
& ( sk159 @ ( sk158 @ '$accessible_world' ) )
& ( sk158 @ ( sk157 @ '$accessible_world' ) )
& ( sk157 @ ( sk156 @ '$accessible_world' ) )
& ( sk156 @ ( sk155 @ '$accessible_world' ) )
& ( sk155 @ ( sk154 @ '$accessible_world' ) )
& ( sk154 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZZZZZZZZZZZB @ ( ZZZZZZZZZZZC @ ( ZZZZZZZZZZZD @ ( ZZZZZZZZZZZE @ ( ZZZZZZZZZZZF @ ( ZZZZZZZZZZZG @ ( ZZZZZZZZZZZH @ ( ZZZZZZZZZZZI @ ( ZZZZZZZZZZZJ @ ( ZZZZZZZZZZZK @ sk153 ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZZK @ ( ZZZZZZZZZZZJ @ '$accessible_world' ) )
| ( ZZZZZZZZZZZJ @ p0 )
| ~ ( ZZZZZZZZZZZJ @ ( ZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZI @ ( ZZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZH @ ( ZZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZG @ ( ZZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZF @ ( ZZZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZE @ ( ZZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZD @ ( ZZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZC @ ( ZZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZB @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZZB @ ( ZZZZZZZZZZZC @ ( ZZZZZZZZZZZD @ ( ZZZZZZZZZZZE @ ( ZZZZZZZZZZZF @ ( ZZZZZZZZZZZG @ ( ZZZZZZZZZZZH @ ( ZZZZZZZZZZZI @ ( ZZZZZZZZZZZJ @ ( ZZZZZZZZZZZK @ sk153 ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZK @ ( ZZZZZZZZZZZJ @ '$accessible_world' ) )
| ( ZZZZZZZZZZZJ @ p0 )
| ~ ( ZZZZZZZZZZZJ @ ( ZZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZI @ ( ZZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZH @ ( ZZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZG @ ( ZZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZF @ ( ZZZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZE @ ( ZZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZD @ ( ZZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZC @ ( ZZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZB @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZR @ ( ZZZZZZZZZZS @ ( ZZZZZZZZZZT @ ( ZZZZZZZZZZU @ ( ZZZZZZZZZZV @ ( ZZZZZZZZZZW @ ( ZZZZZZZZZZX @ ( ZZZZZZZZZZY @ ( ZZZZZZZZZZZ @ ( ZZZZZZZZZZZA @ sk152 ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZZA @ ( ZZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZ @ p0 )
| ~ ( ZZZZZZZZZZZ @ ( ZZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZY @ ( ZZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZX @ ( ZZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZW @ ( ZZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZV @ ( ZZZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZU @ ( ZZZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZT @ ( ZZZZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZS @ ( ZZZZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZR @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZR @ ( ZZZZZZZZZZS @ ( ZZZZZZZZZZT @ ( ZZZZZZZZZZU @ ( ZZZZZZZZZZV @ ( ZZZZZZZZZZW @ ( ZZZZZZZZZZX @ ( ZZZZZZZZZZY @ ( ZZZZZZZZZZZ @ ( ZZZZZZZZZZZA @ sk152 ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZA @ ( ZZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZZ @ p0 )
| ~ ( ZZZZZZZZZZZ @ ( ZZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZY @ ( ZZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZX @ ( ZZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZW @ ( ZZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZV @ ( ZZZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZU @ ( ZZZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZT @ ( ZZZZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZS @ ( ZZZZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZR @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZF @ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZN @ ( ZZZZZZZZZZP @ ( ZZZZZZZZZZQ @ sk151 ) ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZQ @ ( ZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZP @ ( ZZZZZZZZZZN @ '$accessible_world' ) )
| ( ZZZZZZZZZZN @ sk149 )
| ~ ( ZZZZZZZZZZN @ ( ZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZF @ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZN @ ( ZZZZZZZZZZP @ ( ZZZZZZZZZZQ @ sk151 ) ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZQ @ ( ZZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZP @ ( ZZZZZZZZZZN @ '$accessible_world' ) )
| ( ZZZZZZZZZZN @ sk149 )
| ~ ( ZZZZZZZZZZN @ ( ZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZZZZZN @ sk149 )
| ~ ( ZZZZZZZZZZO @ p0 )
| ~ ( ZZZZZZZZZZO @ ( ZZZZZZZZZZF @ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZN @ sk150 ) ) ) ) ) ) ) ) @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZN @ ( ZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZZZZZN @ sk149 )
| ( ZZZZZZZZZZF @ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZN @ sk150 ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZN @ ( ZZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZM @ ( ZZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZL @ ( ZZZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZK @ ( ZZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZJ @ ( ZZZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZI @ ( ZZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZH @ ( ZZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZG @ ( ZZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZE @ p0 )
| ~ ( ZZZZZZZZZZE @ ( ZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZD @ ( ZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZU @ ( ZZZZZZZZZV @ ( ZZZZZZZZZW @ ( ZZZZZZZZZX @ ( ZZZZZZZZZY @ ( ZZZZZZZZZZ @ ( ZZZZZZZZZZA @ ( ZZZZZZZZZZB @ ( ZZZZZZZZZZC @ sk148 ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZZC @ ( ZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZB @ ( ZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZA @ ( ZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZ @ ( ZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZY @ ( ZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZX @ ( ZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZW @ ( ZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZV @ ( ZZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZU @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZZE @ p0 )
| ~ ( ZZZZZZZZZZE @ ( ZZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZD @ ( ZZZZZZZZZZC @ '$accessible_world' ) )
| ( ZZZZZZZZZU @ ( ZZZZZZZZZV @ ( ZZZZZZZZZW @ ( ZZZZZZZZZX @ ( ZZZZZZZZZY @ ( ZZZZZZZZZZ @ ( ZZZZZZZZZZA @ ( ZZZZZZZZZZB @ ( ZZZZZZZZZZC @ sk148 ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZC @ ( ZZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZB @ ( ZZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZA @ ( ZZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZZ @ ( ZZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZY @ ( ZZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZX @ ( ZZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZW @ ( ZZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZV @ ( ZZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZU @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZL @ ( ZZZZZZZZZM @ ( ZZZZZZZZZN @ ( ZZZZZZZZZO @ ( ZZZZZZZZZP @ ( ZZZZZZZZZQ @ ( ZZZZZZZZZR @ ( ZZZZZZZZZS @ ( ZZZZZZZZZT @ sk147 ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZT @ ( ZZZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZS @ ( ZZZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZR @ ( ZZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZQ @ ( ZZZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZP @ ( ZZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZO @ ( ZZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZN @ ( ZZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZM @ ( ZZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZL @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk146 @ p0 )
& ( ( ZZZZZZZZZK @ p0 )
| ~ ( ZZZZZZZZZK @ ( sk146 @ '$accessible_world' ) ) )
& ( sk146 @ ( sk145 @ '$accessible_world' ) )
& ( sk145 @ ( sk144 @ '$accessible_world' ) )
& ( sk144 @ ( sk143 @ '$accessible_world' ) )
& ( sk143 @ ( sk142 @ '$accessible_world' ) )
& ( sk142 @ ( sk141 @ '$accessible_world' ) )
& ( sk141 @ ( sk140 @ '$accessible_world' ) )
& ( sk140 @ ( sk139 @ '$accessible_world' ) )
& ( sk139 @ ( sk138 @ '$accessible_world' ) )
& ( sk138 @ ( sk137 @ '$accessible_world' ) )
& ( sk137 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZZZZZZZZZB @ ( ZZZZZZZZZC @ ( ZZZZZZZZZD @ ( ZZZZZZZZZE @ ( ZZZZZZZZZF @ ( ZZZZZZZZZG @ ( ZZZZZZZZZH @ ( ZZZZZZZZZI @ ( ZZZZZZZZZJ @ sk136 ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZJ @ ( ZZZZZZZZZI @ '$accessible_world' ) )
| ( ZZZZZZZZZI @ p0 )
| ~ ( ZZZZZZZZZI @ ( ZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZH @ ( ZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZG @ ( ZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZF @ ( ZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZE @ ( ZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZD @ ( ZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZC @ ( ZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZB @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZZB @ ( ZZZZZZZZZC @ ( ZZZZZZZZZD @ ( ZZZZZZZZZE @ ( ZZZZZZZZZF @ ( ZZZZZZZZZG @ ( ZZZZZZZZZH @ ( ZZZZZZZZZI @ ( ZZZZZZZZZJ @ sk136 ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZJ @ ( ZZZZZZZZZI @ '$accessible_world' ) )
| ( ZZZZZZZZZI @ p0 )
| ~ ( ZZZZZZZZZI @ ( ZZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZH @ ( ZZZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZG @ ( ZZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZF @ ( ZZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZE @ ( ZZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZD @ ( ZZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZC @ ( ZZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZB @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZS @ ( ZZZZZZZZT @ ( ZZZZZZZZU @ ( ZZZZZZZZV @ ( ZZZZZZZZW @ ( ZZZZZZZZX @ ( ZZZZZZZZY @ ( ZZZZZZZZZ @ ( ZZZZZZZZZA @ sk135 ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZZA @ ( ZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZ @ p0 )
| ~ ( ZZZZZZZZZ @ ( ZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZY @ ( ZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZX @ ( ZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZW @ ( ZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZV @ ( ZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZU @ ( ZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZT @ ( ZZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZZS @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZS @ ( ZZZZZZZZT @ ( ZZZZZZZZU @ ( ZZZZZZZZV @ ( ZZZZZZZZW @ ( ZZZZZZZZX @ ( ZZZZZZZZY @ ( ZZZZZZZZZ @ ( ZZZZZZZZZA @ sk135 ) ) ) ) ) ) ) ) @ ( ZZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZA @ ( ZZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZZ @ p0 )
| ~ ( ZZZZZZZZZ @ ( ZZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZZY @ ( ZZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZZX @ ( ZZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZZW @ ( ZZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZZV @ ( ZZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZZU @ ( ZZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZZT @ ( ZZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZZS @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZH @ ( ZZZZZZZZI @ ( ZZZZZZZZJ @ ( ZZZZZZZZK @ ( ZZZZZZZZL @ ( ZZZZZZZZM @ ( ZZZZZZZZN @ ( ZZZZZZZZO @ ( ZZZZZZZZQ @ ( ZZZZZZZZR @ sk134 ) ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZR @ ( ZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZQ @ ( ZZZZZZZZO @ '$accessible_world' ) )
| ( ZZZZZZZZO @ sk132 )
| ~ ( ZZZZZZZZO @ ( ZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZN @ ( ZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZM @ ( ZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZL @ ( ZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZK @ ( ZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZJ @ ( ZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZI @ ( ZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZH @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZH @ ( ZZZZZZZZI @ ( ZZZZZZZZJ @ ( ZZZZZZZZK @ ( ZZZZZZZZL @ ( ZZZZZZZZM @ ( ZZZZZZZZN @ ( ZZZZZZZZO @ ( ZZZZZZZZQ @ ( ZZZZZZZZR @ sk134 ) ) ) ) ) ) ) ) ) @ ( ZZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZZR @ ( ZZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZQ @ ( ZZZZZZZZO @ '$accessible_world' ) )
| ( ZZZZZZZZO @ sk132 )
| ~ ( ZZZZZZZZO @ ( ZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZN @ ( ZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZM @ ( ZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZL @ ( ZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZK @ ( ZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZJ @ ( ZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZI @ ( ZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZH @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZZZO @ sk132 )
| ~ ( ZZZZZZZZP @ p0 )
| ~ ( ZZZZZZZZP @ ( ZZZZZZZZH @ ( ZZZZZZZZI @ ( ZZZZZZZZJ @ ( ZZZZZZZZK @ ( ZZZZZZZZL @ ( ZZZZZZZZM @ ( ZZZZZZZZN @ ( ZZZZZZZZO @ sk133 ) ) ) ) ) ) ) @ '$accessible_world' ) )
| ~ ( ZZZZZZZZO @ ( ZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZN @ ( ZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZM @ ( ZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZL @ ( ZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZK @ ( ZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZJ @ ( ZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZI @ ( ZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZH @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZZZO @ sk132 )
| ( ZZZZZZZZH @ ( ZZZZZZZZI @ ( ZZZZZZZZJ @ ( ZZZZZZZZK @ ( ZZZZZZZZL @ ( ZZZZZZZZM @ ( ZZZZZZZZN @ ( ZZZZZZZZO @ sk133 ) ) ) ) ) ) ) @ ( ZZZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZZZO @ ( ZZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZZN @ ( ZZZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZZZM @ ( ZZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZZL @ ( ZZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZZK @ ( ZZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZJ @ ( ZZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZZI @ ( ZZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZZH @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZG @ p0 )
| ~ ( ZZZZZZZZG @ ( ZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZF @ ( ZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZX @ ( ZZZZZZZY @ ( ZZZZZZZZ @ ( ZZZZZZZZA @ ( ZZZZZZZZB @ ( ZZZZZZZZC @ ( ZZZZZZZZD @ ( ZZZZZZZZE @ sk131 ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZZE @ ( ZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZD @ ( ZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZC @ ( ZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZB @ ( ZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZA @ ( ZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZ @ ( ZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZY @ ( ZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZX @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZZG @ p0 )
| ~ ( ZZZZZZZZG @ ( ZZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZZF @ ( ZZZZZZZZE @ '$accessible_world' ) )
| ( ZZZZZZZX @ ( ZZZZZZZY @ ( ZZZZZZZZ @ ( ZZZZZZZZA @ ( ZZZZZZZZB @ ( ZZZZZZZZC @ ( ZZZZZZZZD @ ( ZZZZZZZZE @ sk131 ) ) ) ) ) ) ) @ ( ZZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZZE @ ( ZZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZZD @ ( ZZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZZC @ ( ZZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZZB @ ( ZZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZZA @ ( ZZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZZ @ ( ZZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZZY @ ( ZZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZZX @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZP @ ( ZZZZZZZQ @ ( ZZZZZZZR @ ( ZZZZZZZS @ ( ZZZZZZZT @ ( ZZZZZZZU @ ( ZZZZZZZV @ ( ZZZZZZZW @ sk130 ) ) ) ) ) ) ) @ ( ZZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZZW @ ( ZZZZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZZZZV @ ( ZZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZZU @ ( ZZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZZT @ ( ZZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZZS @ ( ZZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZZR @ ( ZZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZZQ @ ( ZZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZZP @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk129 @ p0 )
& ( ( ZZZZZZZO @ p0 )
| ~ ( ZZZZZZZO @ ( sk129 @ '$accessible_world' ) ) )
& ( sk129 @ ( sk128 @ '$accessible_world' ) )
& ( sk128 @ ( sk127 @ '$accessible_world' ) )
& ( sk127 @ ( sk126 @ '$accessible_world' ) )
& ( sk126 @ ( sk125 @ '$accessible_world' ) )
& ( sk125 @ ( sk124 @ '$accessible_world' ) )
& ( sk124 @ ( sk123 @ '$accessible_world' ) )
& ( sk123 @ ( sk122 @ '$accessible_world' ) )
& ( sk122 @ ( sk121 @ '$accessible_world' ) )
& ( sk121 @ ( sk120 @ '$accessible_world' ) )
& ( sk120 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZZZZZZZG @ ( ZZZZZZZH @ ( ZZZZZZZI @ ( ZZZZZZZJ @ ( ZZZZZZZK @ ( ZZZZZZZL @ ( ZZZZZZZM @ ( ZZZZZZZN @ sk119 ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZN @ ( ZZZZZZZM @ '$accessible_world' ) )
| ( ZZZZZZZM @ p0 )
| ~ ( ZZZZZZZM @ ( ZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZL @ ( ZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZK @ ( ZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZJ @ ( ZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZI @ ( ZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZH @ ( ZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZG @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZZG @ ( ZZZZZZZH @ ( ZZZZZZZI @ ( ZZZZZZZJ @ ( ZZZZZZZK @ ( ZZZZZZZL @ ( ZZZZZZZM @ ( ZZZZZZZN @ sk119 ) ) ) ) ) ) ) @ ( ZZZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZZZN @ ( ZZZZZZZM @ '$accessible_world' ) )
| ( ZZZZZZZM @ p0 )
| ~ ( ZZZZZZZM @ ( ZZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZZL @ ( ZZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZZK @ ( ZZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZZJ @ ( ZZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZZI @ ( ZZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZZH @ ( ZZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZZG @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZY @ ( ZZZZZZZ @ ( ZZZZZZZA @ ( ZZZZZZZB @ ( ZZZZZZZC @ ( ZZZZZZZD @ ( ZZZZZZZE @ ( ZZZZZZZF @ sk118 ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZZF @ ( ZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZE @ p0 )
| ~ ( ZZZZZZZE @ ( ZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZD @ ( ZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZC @ ( ZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZB @ ( ZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZA @ ( ZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZ @ ( ZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZY @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZY @ ( ZZZZZZZ @ ( ZZZZZZZA @ ( ZZZZZZZB @ ( ZZZZZZZC @ ( ZZZZZZZD @ ( ZZZZZZZE @ ( ZZZZZZZF @ sk118 ) ) ) ) ) ) ) @ ( ZZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZZF @ ( ZZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZZE @ p0 )
| ~ ( ZZZZZZZE @ ( ZZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZZD @ ( ZZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZZC @ ( ZZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZZB @ ( ZZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZZA @ ( ZZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZZ @ ( ZZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZZY @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZO @ ( ZZZZZZP @ ( ZZZZZZQ @ ( ZZZZZZR @ ( ZZZZZZS @ ( ZZZZZZT @ ( ZZZZZZU @ ( ZZZZZZW @ ( ZZZZZZX @ sk117 ) ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZX @ ( ZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZW @ ( ZZZZZZU @ '$accessible_world' ) )
| ( ZZZZZZU @ sk115 )
| ~ ( ZZZZZZU @ ( ZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZT @ ( ZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZS @ ( ZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZR @ ( ZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZQ @ ( ZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZP @ ( ZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZO @ ( ZZZZZZP @ ( ZZZZZZQ @ ( ZZZZZZR @ ( ZZZZZZS @ ( ZZZZZZT @ ( ZZZZZZU @ ( ZZZZZZW @ ( ZZZZZZX @ sk117 ) ) ) ) ) ) ) ) @ ( ZZZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZZZX @ ( ZZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZZW @ ( ZZZZZZU @ '$accessible_world' ) )
| ( ZZZZZZU @ sk115 )
| ~ ( ZZZZZZU @ ( ZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZT @ ( ZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZS @ ( ZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZR @ ( ZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZQ @ ( ZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZP @ ( ZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZU @ sk115 )
| ~ ( ZZZZZZV @ p0 )
| ~ ( ZZZZZZV @ ( ZZZZZZO @ ( ZZZZZZP @ ( ZZZZZZQ @ ( ZZZZZZR @ ( ZZZZZZS @ ( ZZZZZZT @ ( ZZZZZZU @ sk116 ) ) ) ) ) ) @ '$accessible_world' ) )
| ~ ( ZZZZZZU @ ( ZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZT @ ( ZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZS @ ( ZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZR @ ( ZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZQ @ ( ZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZP @ ( ZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZZU @ sk115 )
| ( ZZZZZZO @ ( ZZZZZZP @ ( ZZZZZZQ @ ( ZZZZZZR @ ( ZZZZZZS @ ( ZZZZZZT @ ( ZZZZZZU @ sk116 ) ) ) ) ) ) @ ( ZZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZZU @ ( ZZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZZT @ ( ZZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZZS @ ( ZZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZZR @ ( ZZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZZQ @ ( ZZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZZP @ ( ZZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZN @ p0 )
| ~ ( ZZZZZZN @ ( ZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZM @ ( ZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZF @ ( ZZZZZZG @ ( ZZZZZZH @ ( ZZZZZZI @ ( ZZZZZZJ @ ( ZZZZZZK @ ( ZZZZZZL @ sk114 ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZZL @ ( ZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZK @ ( ZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZJ @ ( ZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZI @ ( ZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZH @ ( ZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZG @ ( ZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZZN @ p0 )
| ~ ( ZZZZZZN @ ( ZZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZZM @ ( ZZZZZZL @ '$accessible_world' ) )
| ( ZZZZZZF @ ( ZZZZZZG @ ( ZZZZZZH @ ( ZZZZZZI @ ( ZZZZZZJ @ ( ZZZZZZK @ ( ZZZZZZL @ sk114 ) ) ) ) ) ) @ ( ZZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZZL @ ( ZZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZZK @ ( ZZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZZJ @ ( ZZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZZI @ ( ZZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZZH @ ( ZZZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZZZG @ ( ZZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZY @ ( ZZZZZZ @ ( ZZZZZZA @ ( ZZZZZZB @ ( ZZZZZZC @ ( ZZZZZZD @ ( ZZZZZZE @ sk113 ) ) ) ) ) ) @ ( ZZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZZE @ ( ZZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZZD @ ( ZZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZZC @ ( ZZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZZB @ ( ZZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZZA @ ( ZZZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZZZ @ ( ZZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZZY @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk112 @ p0 )
& ( ( ZZZZZX @ p0 )
| ~ ( ZZZZZX @ ( sk112 @ '$accessible_world' ) ) )
& ( sk112 @ ( sk111 @ '$accessible_world' ) )
& ( sk111 @ ( sk110 @ '$accessible_world' ) )
& ( sk110 @ ( sk109 @ '$accessible_world' ) )
& ( sk109 @ ( sk108 @ '$accessible_world' ) )
& ( sk108 @ ( sk107 @ '$accessible_world' ) )
& ( sk107 @ ( sk106 @ '$accessible_world' ) )
& ( sk106 @ ( sk105 @ '$accessible_world' ) )
& ( sk105 @ ( sk104 @ '$accessible_world' ) )
& ( sk104 @ ( sk103 @ '$accessible_world' ) )
& ( sk103 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZZZZZQ @ ( ZZZZZR @ ( ZZZZZS @ ( ZZZZZT @ ( ZZZZZU @ ( ZZZZZV @ ( ZZZZZW @ sk102 ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZW @ ( ZZZZZV @ '$accessible_world' ) )
| ( ZZZZZV @ p0 )
| ~ ( ZZZZZV @ ( ZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZU @ ( ZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZT @ ( ZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZS @ ( ZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZR @ ( ZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZQ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZQ @ ( ZZZZZR @ ( ZZZZZS @ ( ZZZZZT @ ( ZZZZZU @ ( ZZZZZV @ ( ZZZZZW @ sk102 ) ) ) ) ) ) @ ( ZZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZZW @ ( ZZZZZV @ '$accessible_world' ) )
| ( ZZZZZV @ p0 )
| ~ ( ZZZZZV @ ( ZZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZZU @ ( ZZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZZT @ ( ZZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZZS @ ( ZZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZZR @ ( ZZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZZQ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZJ @ ( ZZZZZK @ ( ZZZZZL @ ( ZZZZZM @ ( ZZZZZN @ ( ZZZZZO @ ( ZZZZZP @ sk101 ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZP @ ( ZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZO @ p0 )
| ~ ( ZZZZZO @ ( ZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZN @ ( ZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZM @ ( ZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZL @ ( ZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZK @ ( ZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZJ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZJ @ ( ZZZZZK @ ( ZZZZZL @ ( ZZZZZM @ ( ZZZZZN @ ( ZZZZZO @ ( ZZZZZP @ sk101 ) ) ) ) ) ) @ ( ZZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZZP @ ( ZZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZZO @ p0 )
| ~ ( ZZZZZO @ ( ZZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZZN @ ( ZZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZZM @ ( ZZZZZL @ '$accessible_world' ) )
| ~ ( ZZZZZL @ ( ZZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZZK @ ( ZZZZZJ @ '$accessible_world' ) )
| ~ ( ZZZZZJ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZA @ ( ZZZZZB @ ( ZZZZZC @ ( ZZZZZD @ ( ZZZZZE @ ( ZZZZZF @ ( ZZZZZH @ ( ZZZZZI @ sk100 ) ) ) ) ) ) ) @ p0 )
| ~ ( ZZZZZI @ ( ZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZH @ ( ZZZZZF @ '$accessible_world' ) )
| ( ZZZZZF @ sk98 )
| ~ ( ZZZZZF @ ( ZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZE @ ( ZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZD @ ( ZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZC @ ( ZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZB @ ( ZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZA @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZA @ ( ZZZZZB @ ( ZZZZZC @ ( ZZZZZD @ ( ZZZZZE @ ( ZZZZZF @ ( ZZZZZH @ ( ZZZZZI @ sk100 ) ) ) ) ) ) ) @ ( ZZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZZI @ ( ZZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZZH @ ( ZZZZZF @ '$accessible_world' ) )
| ( ZZZZZF @ sk98 )
| ~ ( ZZZZZF @ ( ZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZE @ ( ZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZD @ ( ZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZC @ ( ZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZB @ ( ZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZA @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZF @ sk98 )
| ~ ( ZZZZZG @ p0 )
| ~ ( ZZZZZG @ ( ZZZZZA @ ( ZZZZZB @ ( ZZZZZC @ ( ZZZZZD @ ( ZZZZZE @ ( ZZZZZF @ sk99 ) ) ) ) ) @ '$accessible_world' ) )
| ~ ( ZZZZZF @ ( ZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZE @ ( ZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZD @ ( ZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZC @ ( ZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZB @ ( ZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZA @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZZZF @ sk98 )
| ( ZZZZZA @ ( ZZZZZB @ ( ZZZZZC @ ( ZZZZZD @ ( ZZZZZE @ ( ZZZZZF @ sk99 ) ) ) ) ) @ ( ZZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZZF @ ( ZZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZZE @ ( ZZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZZD @ ( ZZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZZC @ ( ZZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZZB @ ( ZZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZZA @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZ @ p0 )
| ~ ( ZZZZZ @ ( ZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZY @ ( ZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZS @ ( ZZZZT @ ( ZZZZU @ ( ZZZZV @ ( ZZZZW @ ( ZZZZX @ sk97 ) ) ) ) ) @ p0 )
| ~ ( ZZZZX @ ( ZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZW @ ( ZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZV @ ( ZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZU @ ( ZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZT @ ( ZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZS @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZZ @ p0 )
| ~ ( ZZZZZ @ ( ZZZZY @ '$accessible_world' ) )
| ~ ( ZZZZY @ ( ZZZZX @ '$accessible_world' ) )
| ( ZZZZS @ ( ZZZZT @ ( ZZZZU @ ( ZZZZV @ ( ZZZZW @ ( ZZZZX @ sk97 ) ) ) ) ) @ ( ZZZZX @ '$accessible_world' ) )
| ~ ( ZZZZX @ ( ZZZZW @ '$accessible_world' ) )
| ~ ( ZZZZW @ ( ZZZZV @ '$accessible_world' ) )
| ~ ( ZZZZV @ ( ZZZZU @ '$accessible_world' ) )
| ~ ( ZZZZU @ ( ZZZZT @ '$accessible_world' ) )
| ~ ( ZZZZT @ ( ZZZZS @ '$accessible_world' ) )
| ~ ( ZZZZS @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZM @ ( ZZZZN @ ( ZZZZO @ ( ZZZZP @ ( ZZZZQ @ ( ZZZZR @ sk96 ) ) ) ) ) @ ( ZZZZR @ '$accessible_world' ) )
| ~ ( ZZZZR @ ( ZZZZQ @ '$accessible_world' ) )
| ~ ( ZZZZQ @ ( ZZZZP @ '$accessible_world' ) )
| ~ ( ZZZZP @ ( ZZZZO @ '$accessible_world' ) )
| ~ ( ZZZZO @ ( ZZZZN @ '$accessible_world' ) )
| ~ ( ZZZZN @ ( ZZZZM @ '$accessible_world' ) )
| ~ ( ZZZZM @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk95 @ p0 )
& ( ( ZZZZL @ p0 )
| ~ ( ZZZZL @ ( sk95 @ '$accessible_world' ) ) )
& ( sk95 @ ( sk94 @ '$accessible_world' ) )
& ( sk94 @ ( sk93 @ '$accessible_world' ) )
& ( sk93 @ ( sk92 @ '$accessible_world' ) )
& ( sk92 @ ( sk91 @ '$accessible_world' ) )
& ( sk91 @ ( sk90 @ '$accessible_world' ) )
& ( sk90 @ ( sk89 @ '$accessible_world' ) )
& ( sk89 @ ( sk88 @ '$accessible_world' ) )
& ( sk88 @ ( sk87 @ '$accessible_world' ) )
& ( sk87 @ ( sk86 @ '$accessible_world' ) )
& ( sk86 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZZZZF @ ( ZZZZG @ ( ZZZZH @ ( ZZZZI @ ( ZZZZJ @ ( ZZZZK @ sk85 ) ) ) ) ) @ p0 )
| ~ ( ZZZZK @ ( ZZZZJ @ '$accessible_world' ) )
| ( ZZZZJ @ p0 )
| ~ ( ZZZZJ @ ( ZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZI @ ( ZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZH @ ( ZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZG @ ( ZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZF @ ( ZZZZG @ ( ZZZZH @ ( ZZZZI @ ( ZZZZJ @ ( ZZZZK @ sk85 ) ) ) ) ) @ ( ZZZZK @ '$accessible_world' ) )
| ~ ( ZZZZK @ ( ZZZZJ @ '$accessible_world' ) )
| ( ZZZZJ @ p0 )
| ~ ( ZZZZJ @ ( ZZZZI @ '$accessible_world' ) )
| ~ ( ZZZZI @ ( ZZZZH @ '$accessible_world' ) )
| ~ ( ZZZZH @ ( ZZZZG @ '$accessible_world' ) )
| ~ ( ZZZZG @ ( ZZZZF @ '$accessible_world' ) )
| ~ ( ZZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZ @ ( ZZZZA @ ( ZZZZB @ ( ZZZZC @ ( ZZZZD @ ( ZZZZE @ sk84 ) ) ) ) ) @ p0 )
| ~ ( ZZZZE @ ( ZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZD @ p0 )
| ~ ( ZZZZD @ ( ZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZC @ ( ZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZB @ ( ZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZA @ ( ZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZZ @ ( ZZZZA @ ( ZZZZB @ ( ZZZZC @ ( ZZZZD @ ( ZZZZE @ sk84 ) ) ) ) ) @ ( ZZZZE @ '$accessible_world' ) )
| ~ ( ZZZZE @ ( ZZZZD @ '$accessible_world' ) )
| ~ ( ZZZZD @ p0 )
| ~ ( ZZZZD @ ( ZZZZC @ '$accessible_world' ) )
| ~ ( ZZZZC @ ( ZZZZB @ '$accessible_world' ) )
| ~ ( ZZZZB @ ( ZZZZA @ '$accessible_world' ) )
| ~ ( ZZZZA @ ( ZZZZ @ '$accessible_world' ) )
| ~ ( ZZZZ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZR @ ( ZZZS @ ( ZZZT @ ( ZZZU @ ( ZZZV @ ( ZZZX @ ( ZZZY @ sk83 ) ) ) ) ) ) @ p0 )
| ~ ( ZZZY @ ( ZZZX @ '$accessible_world' ) )
| ~ ( ZZZX @ ( ZZZV @ '$accessible_world' ) )
| ( ZZZV @ sk81 )
| ~ ( ZZZV @ ( ZZZU @ '$accessible_world' ) )
| ~ ( ZZZU @ ( ZZZT @ '$accessible_world' ) )
| ~ ( ZZZT @ ( ZZZS @ '$accessible_world' ) )
| ~ ( ZZZS @ ( ZZZR @ '$accessible_world' ) )
| ~ ( ZZZR @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZR @ ( ZZZS @ ( ZZZT @ ( ZZZU @ ( ZZZV @ ( ZZZX @ ( ZZZY @ sk83 ) ) ) ) ) ) @ ( ZZZY @ '$accessible_world' ) )
| ~ ( ZZZY @ ( ZZZX @ '$accessible_world' ) )
| ~ ( ZZZX @ ( ZZZV @ '$accessible_world' ) )
| ( ZZZV @ sk81 )
| ~ ( ZZZV @ ( ZZZU @ '$accessible_world' ) )
| ~ ( ZZZU @ ( ZZZT @ '$accessible_world' ) )
| ~ ( ZZZT @ ( ZZZS @ '$accessible_world' ) )
| ~ ( ZZZS @ ( ZZZR @ '$accessible_world' ) )
| ~ ( ZZZR @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZV @ sk81 )
| ~ ( ZZZW @ p0 )
| ~ ( ZZZW @ ( ZZZR @ ( ZZZS @ ( ZZZT @ ( ZZZU @ ( ZZZV @ sk82 ) ) ) ) @ '$accessible_world' ) )
| ~ ( ZZZV @ ( ZZZU @ '$accessible_world' ) )
| ~ ( ZZZU @ ( ZZZT @ '$accessible_world' ) )
| ~ ( ZZZT @ ( ZZZS @ '$accessible_world' ) )
| ~ ( ZZZS @ ( ZZZR @ '$accessible_world' ) )
| ~ ( ZZZR @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZZV @ sk81 )
| ( ZZZR @ ( ZZZS @ ( ZZZT @ ( ZZZU @ ( ZZZV @ sk82 ) ) ) ) @ ( ZZZV @ '$accessible_world' ) )
| ~ ( ZZZV @ ( ZZZU @ '$accessible_world' ) )
| ~ ( ZZZU @ ( ZZZT @ '$accessible_world' ) )
| ~ ( ZZZT @ ( ZZZS @ '$accessible_world' ) )
| ~ ( ZZZS @ ( ZZZR @ '$accessible_world' ) )
| ~ ( ZZZR @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZQ @ p0 )
| ~ ( ZZZQ @ ( ZZZP @ '$accessible_world' ) )
| ~ ( ZZZP @ ( ZZZO @ '$accessible_world' ) )
| ~ ( ZZZK @ ( ZZZL @ ( ZZZM @ ( ZZZN @ ( ZZZO @ sk80 ) ) ) ) @ p0 )
| ~ ( ZZZO @ ( ZZZN @ '$accessible_world' ) )
| ~ ( ZZZN @ ( ZZZM @ '$accessible_world' ) )
| ~ ( ZZZM @ ( ZZZL @ '$accessible_world' ) )
| ~ ( ZZZL @ ( ZZZK @ '$accessible_world' ) )
| ~ ( ZZZK @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZQ @ p0 )
| ~ ( ZZZQ @ ( ZZZP @ '$accessible_world' ) )
| ~ ( ZZZP @ ( ZZZO @ '$accessible_world' ) )
| ( ZZZK @ ( ZZZL @ ( ZZZM @ ( ZZZN @ ( ZZZO @ sk80 ) ) ) ) @ ( ZZZO @ '$accessible_world' ) )
| ~ ( ZZZO @ ( ZZZN @ '$accessible_world' ) )
| ~ ( ZZZN @ ( ZZZM @ '$accessible_world' ) )
| ~ ( ZZZM @ ( ZZZL @ '$accessible_world' ) )
| ~ ( ZZZL @ ( ZZZK @ '$accessible_world' ) )
| ~ ( ZZZK @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZF @ ( ZZZG @ ( ZZZH @ ( ZZZI @ ( ZZZJ @ sk79 ) ) ) ) @ ( ZZZJ @ '$accessible_world' ) )
| ~ ( ZZZJ @ ( ZZZI @ '$accessible_world' ) )
| ~ ( ZZZI @ ( ZZZH @ '$accessible_world' ) )
| ~ ( ZZZH @ ( ZZZG @ '$accessible_world' ) )
| ~ ( ZZZG @ ( ZZZF @ '$accessible_world' ) )
| ~ ( ZZZF @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk78 @ p0 )
& ( ( ZZZE @ p0 )
| ~ ( ZZZE @ ( sk78 @ '$accessible_world' ) ) )
& ( sk78 @ ( sk77 @ '$accessible_world' ) )
& ( sk77 @ ( sk76 @ '$accessible_world' ) )
& ( sk76 @ ( sk75 @ '$accessible_world' ) )
& ( sk75 @ ( sk74 @ '$accessible_world' ) )
& ( sk74 @ ( sk73 @ '$accessible_world' ) )
& ( sk73 @ ( sk72 @ '$accessible_world' ) )
& ( sk72 @ ( sk71 @ '$accessible_world' ) )
& ( sk71 @ ( sk70 @ '$accessible_world' ) )
& ( sk70 @ ( sk69 @ '$accessible_world' ) )
& ( sk69 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZZZ @ ( ZZZA @ ( ZZZB @ ( ZZZC @ ( ZZZD @ sk68 ) ) ) ) @ p0 )
| ~ ( ZZZD @ ( ZZZC @ '$accessible_world' ) )
| ( ZZZC @ p0 )
| ~ ( ZZZC @ ( ZZZB @ '$accessible_world' ) )
| ~ ( ZZZB @ ( ZZZA @ '$accessible_world' ) )
| ~ ( ZZZA @ ( ZZZ @ '$accessible_world' ) )
| ~ ( ZZZ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZZ @ ( ZZZA @ ( ZZZB @ ( ZZZC @ ( ZZZD @ sk68 ) ) ) ) @ ( ZZZD @ '$accessible_world' ) )
| ~ ( ZZZD @ ( ZZZC @ '$accessible_world' ) )
| ( ZZZC @ p0 )
| ~ ( ZZZC @ ( ZZZB @ '$accessible_world' ) )
| ~ ( ZZZB @ ( ZZZA @ '$accessible_world' ) )
| ~ ( ZZZA @ ( ZZZ @ '$accessible_world' ) )
| ~ ( ZZZ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZU @ ( ZZV @ ( ZZW @ ( ZZX @ ( ZZY @ sk67 ) ) ) ) @ p0 )
| ~ ( ZZY @ ( ZZX @ '$accessible_world' ) )
| ~ ( ZZX @ p0 )
| ~ ( ZZX @ ( ZZW @ '$accessible_world' ) )
| ~ ( ZZW @ ( ZZV @ '$accessible_world' ) )
| ~ ( ZZV @ ( ZZU @ '$accessible_world' ) )
| ~ ( ZZU @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZU @ ( ZZV @ ( ZZW @ ( ZZX @ ( ZZY @ sk67 ) ) ) ) @ ( ZZY @ '$accessible_world' ) )
| ~ ( ZZY @ ( ZZX @ '$accessible_world' ) )
| ~ ( ZZX @ p0 )
| ~ ( ZZX @ ( ZZW @ '$accessible_world' ) )
| ~ ( ZZW @ ( ZZV @ '$accessible_world' ) )
| ~ ( ZZV @ ( ZZU @ '$accessible_world' ) )
| ~ ( ZZU @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZN @ ( ZZO @ ( ZZP @ ( ZZQ @ ( ZZS @ ( ZZT @ sk66 ) ) ) ) ) @ p0 )
| ~ ( ZZT @ ( ZZS @ '$accessible_world' ) )
| ~ ( ZZS @ ( ZZQ @ '$accessible_world' ) )
| ( ZZQ @ sk64 )
| ~ ( ZZQ @ ( ZZP @ '$accessible_world' ) )
| ~ ( ZZP @ ( ZZO @ '$accessible_world' ) )
| ~ ( ZZO @ ( ZZN @ '$accessible_world' ) )
| ~ ( ZZN @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZN @ ( ZZO @ ( ZZP @ ( ZZQ @ ( ZZS @ ( ZZT @ sk66 ) ) ) ) ) @ ( ZZT @ '$accessible_world' ) )
| ~ ( ZZT @ ( ZZS @ '$accessible_world' ) )
| ~ ( ZZS @ ( ZZQ @ '$accessible_world' ) )
| ( ZZQ @ sk64 )
| ~ ( ZZQ @ ( ZZP @ '$accessible_world' ) )
| ~ ( ZZP @ ( ZZO @ '$accessible_world' ) )
| ~ ( ZZO @ ( ZZN @ '$accessible_world' ) )
| ~ ( ZZN @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZQ @ sk64 )
| ~ ( ZZR @ p0 )
| ~ ( ZZR @ ( ZZN @ ( ZZO @ ( ZZP @ ( ZZQ @ sk65 ) ) ) @ '$accessible_world' ) )
| ~ ( ZZQ @ ( ZZP @ '$accessible_world' ) )
| ~ ( ZZP @ ( ZZO @ '$accessible_world' ) )
| ~ ( ZZO @ ( ZZN @ '$accessible_world' ) )
| ~ ( ZZN @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZZQ @ sk64 )
| ( ZZN @ ( ZZO @ ( ZZP @ ( ZZQ @ sk65 ) ) ) @ ( ZZQ @ '$accessible_world' ) )
| ~ ( ZZQ @ ( ZZP @ '$accessible_world' ) )
| ~ ( ZZP @ ( ZZO @ '$accessible_world' ) )
| ~ ( ZZO @ ( ZZN @ '$accessible_world' ) )
| ~ ( ZZN @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZM @ p0 )
| ~ ( ZZM @ ( ZZL @ '$accessible_world' ) )
| ~ ( ZZL @ ( ZZK @ '$accessible_world' ) )
| ~ ( ZZH @ ( ZZI @ ( ZZJ @ ( ZZK @ sk63 ) ) ) @ p0 )
| ~ ( ZZK @ ( ZZJ @ '$accessible_world' ) )
| ~ ( ZZJ @ ( ZZI @ '$accessible_world' ) )
| ~ ( ZZI @ ( ZZH @ '$accessible_world' ) )
| ~ ( ZZH @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZM @ p0 )
| ~ ( ZZM @ ( ZZL @ '$accessible_world' ) )
| ~ ( ZZL @ ( ZZK @ '$accessible_world' ) )
| ( ZZH @ ( ZZI @ ( ZZJ @ ( ZZK @ sk63 ) ) ) @ ( ZZK @ '$accessible_world' ) )
| ~ ( ZZK @ ( ZZJ @ '$accessible_world' ) )
| ~ ( ZZJ @ ( ZZI @ '$accessible_world' ) )
| ~ ( ZZI @ ( ZZH @ '$accessible_world' ) )
| ~ ( ZZH @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZZD @ ( ZZE @ ( ZZF @ ( ZZG @ sk62 ) ) ) @ ( ZZG @ '$accessible_world' ) )
| ~ ( ZZG @ ( ZZF @ '$accessible_world' ) )
| ~ ( ZZF @ ( ZZE @ '$accessible_world' ) )
| ~ ( ZZE @ ( ZZD @ '$accessible_world' ) )
| ~ ( ZZD @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk61 @ p0 )
& ( ( ZZC @ p0 )
| ~ ( ZZC @ ( sk61 @ '$accessible_world' ) ) )
& ( sk61 @ ( sk60 @ '$accessible_world' ) )
& ( sk60 @ ( sk59 @ '$accessible_world' ) )
& ( sk59 @ ( sk58 @ '$accessible_world' ) )
& ( sk58 @ ( sk57 @ '$accessible_world' ) )
& ( sk57 @ ( sk56 @ '$accessible_world' ) )
& ( sk56 @ ( sk55 @ '$accessible_world' ) )
& ( sk55 @ ( sk54 @ '$accessible_world' ) )
& ( sk54 @ ( sk53 @ '$accessible_world' ) )
& ( sk53 @ ( sk52 @ '$accessible_world' ) )
& ( sk52 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZY @ ( ZZ @ ( ZZA @ ( ZZB @ sk51 ) ) ) @ p0 )
| ~ ( ZZB @ ( ZZA @ '$accessible_world' ) )
| ( ZZA @ p0 )
| ~ ( ZZA @ ( ZZ @ '$accessible_world' ) )
| ~ ( ZZ @ ( ZY @ '$accessible_world' ) )
| ~ ( ZY @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZY @ ( ZZ @ ( ZZA @ ( ZZB @ sk51 ) ) ) @ ( ZZB @ '$accessible_world' ) )
| ~ ( ZZB @ ( ZZA @ '$accessible_world' ) )
| ( ZZA @ p0 )
| ~ ( ZZA @ ( ZZ @ '$accessible_world' ) )
| ~ ( ZZ @ ( ZY @ '$accessible_world' ) )
| ~ ( ZY @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZU @ ( ZV @ ( ZW @ ( ZX @ sk50 ) ) ) @ p0 )
| ~ ( ZX @ ( ZW @ '$accessible_world' ) )
| ~ ( ZW @ p0 )
| ~ ( ZW @ ( ZV @ '$accessible_world' ) )
| ~ ( ZV @ ( ZU @ '$accessible_world' ) )
| ~ ( ZU @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZU @ ( ZV @ ( ZW @ ( ZX @ sk50 ) ) ) @ ( ZX @ '$accessible_world' ) )
| ~ ( ZX @ ( ZW @ '$accessible_world' ) )
| ~ ( ZW @ p0 )
| ~ ( ZW @ ( ZV @ '$accessible_world' ) )
| ~ ( ZV @ ( ZU @ '$accessible_world' ) )
| ~ ( ZU @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZO @ ( ZP @ ( ZQ @ ( ZS @ ( ZT @ sk49 ) ) ) ) @ p0 )
| ~ ( ZT @ ( ZS @ '$accessible_world' ) )
| ~ ( ZS @ ( ZQ @ '$accessible_world' ) )
| ( ZQ @ sk47 )
| ~ ( ZQ @ ( ZP @ '$accessible_world' ) )
| ~ ( ZP @ ( ZO @ '$accessible_world' ) )
| ~ ( ZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZO @ ( ZP @ ( ZQ @ ( ZS @ ( ZT @ sk49 ) ) ) ) @ ( ZT @ '$accessible_world' ) )
| ~ ( ZT @ ( ZS @ '$accessible_world' ) )
| ~ ( ZS @ ( ZQ @ '$accessible_world' ) )
| ( ZQ @ sk47 )
| ~ ( ZQ @ ( ZP @ '$accessible_world' ) )
| ~ ( ZP @ ( ZO @ '$accessible_world' ) )
| ~ ( ZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZQ @ sk47 )
| ~ ( ZR @ p0 )
| ~ ( ZR @ ( ZO @ ( ZP @ ( ZQ @ sk48 ) ) @ '$accessible_world' ) )
| ~ ( ZQ @ ( ZP @ '$accessible_world' ) )
| ~ ( ZP @ ( ZO @ '$accessible_world' ) )
| ~ ( ZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( ZQ @ sk47 )
| ( ZO @ ( ZP @ ( ZQ @ sk48 ) ) @ ( ZQ @ '$accessible_world' ) )
| ~ ( ZQ @ ( ZP @ '$accessible_world' ) )
| ~ ( ZP @ ( ZO @ '$accessible_world' ) )
| ~ ( ZO @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZN @ p0 )
| ~ ( ZN @ ( ZM @ '$accessible_world' ) )
| ~ ( ZM @ ( ZL @ '$accessible_world' ) )
| ~ ( ZJ @ ( ZK @ ( ZL @ sk46 ) ) @ p0 )
| ~ ( ZL @ ( ZK @ '$accessible_world' ) )
| ~ ( ZK @ ( ZJ @ '$accessible_world' ) )
| ~ ( ZJ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZN @ p0 )
| ~ ( ZN @ ( ZM @ '$accessible_world' ) )
| ~ ( ZM @ ( ZL @ '$accessible_world' ) )
| ( ZJ @ ( ZK @ ( ZL @ sk46 ) ) @ ( ZL @ '$accessible_world' ) )
| ~ ( ZL @ ( ZK @ '$accessible_world' ) )
| ~ ( ZK @ ( ZJ @ '$accessible_world' ) )
| ~ ( ZJ @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZG @ ( ZH @ ( ZI @ sk45 ) ) @ ( ZI @ '$accessible_world' ) )
| ~ ( ZI @ ( ZH @ '$accessible_world' ) )
| ~ ( ZH @ ( ZG @ '$accessible_world' ) )
| ~ ( ZG @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk44 @ p0 )
& ( ( ZF @ p0 )
| ~ ( ZF @ ( sk44 @ '$accessible_world' ) ) )
& ( sk44 @ ( sk43 @ '$accessible_world' ) )
& ( sk43 @ ( sk42 @ '$accessible_world' ) )
& ( sk42 @ ( sk41 @ '$accessible_world' ) )
& ( sk41 @ ( sk40 @ '$accessible_world' ) )
& ( sk40 @ ( sk39 @ '$accessible_world' ) )
& ( sk39 @ ( sk38 @ '$accessible_world' ) )
& ( sk38 @ ( sk37 @ '$accessible_world' ) )
& ( sk37 @ ( sk36 @ '$accessible_world' ) )
& ( sk36 @ ( sk35 @ '$accessible_world' ) )
& ( sk35 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( ZC @ ( ZD @ ( ZE @ sk34 ) ) @ p0 )
| ~ ( ZE @ ( ZD @ '$accessible_world' ) )
| ( ZD @ p0 )
| ~ ( ZD @ ( ZC @ '$accessible_world' ) )
| ~ ( ZC @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( ZC @ ( ZD @ ( ZE @ sk34 ) ) @ ( ZE @ '$accessible_world' ) )
| ~ ( ZE @ ( ZD @ '$accessible_world' ) )
| ( ZD @ p0 )
| ~ ( ZD @ ( ZC @ '$accessible_world' ) )
| ~ ( ZC @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( Z @ ( ZA @ ( ZB @ sk33 ) ) @ p0 )
| ~ ( ZB @ ( ZA @ '$accessible_world' ) )
| ~ ( ZA @ p0 )
| ~ ( ZA @ ( Z @ '$accessible_world' ) )
| ~ ( Z @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( Z @ ( ZA @ ( ZB @ sk33 ) ) @ ( ZB @ '$accessible_world' ) )
| ~ ( ZB @ ( ZA @ '$accessible_world' ) )
| ~ ( ZA @ p0 )
| ~ ( ZA @ ( Z @ '$accessible_world' ) )
| ~ ( Z @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( U @ ( V @ ( X @ ( Y @ sk32 ) ) ) @ p0 )
| ~ ( Y @ ( X @ '$accessible_world' ) )
| ~ ( X @ ( V @ '$accessible_world' ) )
| ( V @ sk30 )
| ~ ( V @ ( U @ '$accessible_world' ) )
| ~ ( U @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( U @ ( V @ ( X @ ( Y @ sk32 ) ) ) @ ( Y @ '$accessible_world' ) )
| ~ ( Y @ ( X @ '$accessible_world' ) )
| ~ ( X @ ( V @ '$accessible_world' ) )
| ( V @ sk30 )
| ~ ( V @ ( U @ '$accessible_world' ) )
| ~ ( U @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( V @ sk30 )
| ~ ( W @ p0 )
| ~ ( W @ ( U @ ( V @ sk31 ) @ '$accessible_world' ) )
| ~ ( V @ ( U @ '$accessible_world' ) )
| ~ ( U @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( V @ sk30 )
| ( U @ ( V @ sk31 ) @ ( V @ '$accessible_world' ) )
| ~ ( V @ ( U @ '$accessible_world' ) )
| ~ ( U @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( T @ p0 )
| ~ ( T @ ( S @ '$accessible_world' ) )
| ~ ( S @ ( R @ '$accessible_world' ) )
| ~ ( Q @ ( R @ sk29 ) @ p0 )
| ~ ( R @ ( Q @ '$accessible_world' ) )
| ~ ( Q @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( T @ p0 )
| ~ ( T @ ( S @ '$accessible_world' ) )
| ~ ( S @ ( R @ '$accessible_world' ) )
| ( Q @ ( R @ sk29 ) @ ( R @ '$accessible_world' ) )
| ~ ( R @ ( Q @ '$accessible_world' ) )
| ~ ( Q @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( O @ ( P @ sk28 ) @ ( P @ '$accessible_world' ) )
| ~ ( P @ ( O @ '$accessible_world' ) )
| ~ ( O @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk27 @ p0 )
& ( ( N @ p0 )
| ~ ( N @ ( sk27 @ '$accessible_world' ) ) )
& ( sk27 @ ( sk26 @ '$accessible_world' ) )
& ( sk26 @ ( sk25 @ '$accessible_world' ) )
& ( sk25 @ ( sk24 @ '$accessible_world' ) )
& ( sk24 @ ( sk23 @ '$accessible_world' ) )
& ( sk23 @ ( sk22 @ '$accessible_world' ) )
& ( sk22 @ ( sk21 @ '$accessible_world' ) )
& ( sk21 @ ( sk20 @ '$accessible_world' ) )
& ( sk20 @ ( sk19 @ '$accessible_world' ) )
& ( sk19 @ ( sk18 @ '$accessible_world' ) )
& ( sk18 @ ( '$local_world' @ '$accessible_world' ) )
& ( ~ ( L @ ( M @ sk17 ) @ p0 )
| ~ ( M @ ( L @ '$accessible_world' ) )
| ( L @ p0 )
| ~ ( L @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( L @ ( M @ sk17 ) @ ( M @ '$accessible_world' ) )
| ~ ( M @ ( L @ '$accessible_world' ) )
| ( L @ p0 )
| ~ ( L @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( J @ ( K @ sk16 ) @ p0 )
| ~ ( K @ ( J @ '$accessible_world' ) )
| ~ ( J @ p0 )
| ~ ( J @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( J @ ( K @ sk16 ) @ ( K @ '$accessible_world' ) )
| ~ ( K @ ( J @ '$accessible_world' ) )
| ~ ( J @ p0 )
| ~ ( J @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( F @ ( H @ ( I @ sk15 ) ) @ p0 )
| ~ ( I @ ( H @ '$accessible_world' ) )
| ~ ( H @ ( F @ '$accessible_world' ) )
| ( F @ sk13 )
| ~ ( F @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( F @ ( H @ ( I @ sk15 ) ) @ ( I @ '$accessible_world' ) )
| ~ ( I @ ( H @ '$accessible_world' ) )
| ~ ( H @ ( F @ '$accessible_world' ) )
| ( F @ sk13 )
| ~ ( F @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( F @ sk13 )
| ~ ( G @ p0 )
| ~ ( G @ ( F @ sk14 @ '$accessible_world' ) )
| ~ ( F @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ~ ( F @ sk13 )
| ( F @ sk14 @ ( F @ '$accessible_world' ) )
| ~ ( F @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( E @ p0 )
| ~ ( E @ ( D @ '$accessible_world' ) )
| ~ ( D @ ( C @ '$accessible_world' ) )
| ~ ( C @ sk12 @ p0 )
| ~ ( C @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( E @ p0 )
| ~ ( E @ ( D @ '$accessible_world' ) )
| ~ ( D @ ( C @ '$accessible_world' ) )
| ( C @ sk12 @ ( C @ '$accessible_world' ) )
| ~ ( C @ ( '$local_world' @ '$accessible_world' ) ) )
& ( ( B @ sk11 @ ( B @ '$accessible_world' ) )
| ~ ( B @ ( '$local_world' @ '$accessible_world' ) ) )
& ~ ( sk10 @ p0 )
& ( ( A @ p0 )
| ~ ( A @ ( sk10 @ '$accessible_world' ) ) )
& ( sk10 @ ( sk9 @ '$accessible_world' ) )
& ( sk9 @ ( sk8 @ '$accessible_world' ) )
& ( sk8 @ ( sk7 @ '$accessible_world' ) )
& ( sk7 @ ( sk6 @ '$accessible_world' ) )
& ( sk6 @ ( sk5 @ '$accessible_world' ) )
& ( sk5 @ ( sk4 @ '$accessible_world' ) )
& ( sk4 @ ( sk3 @ '$accessible_world' ) )
& ( sk3 @ ( sk2 @ '$accessible_world' ) )
& ( sk2 @ ( sk1 @ '$accessible_world' ) )
& ( sk1 @ ( '$local_world' @ '$accessible_world' ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(10,plain,
! [A: '$world'] :
( ( A @ p0 )
| ~ ( A @ ( sk10 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(228,plain,
~ ( sk61 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(3,axiom,
! [A: '$world'] : ( A @ ( A @ '$accessible_world' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(356,plain,
! [A: '$world'] : ( A @ ( A @ '$accessible_world' ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(212,plain,
~ ( sk95 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(12,plain,
sk38 @ ( sk37 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(140,plain,
~ ( sk10 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(16,plain,
sk93 @ ( sk92 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(11,plain,
sk69 @ ( '$local_world' @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(14,plain,
! [B: '$world',A: '$world'] :
( ~ ( A @ sk13 )
| ~ ( B @ p0 )
| ~ ( B @ ( A @ sk14 @ '$accessible_world' ) )
| ~ ( A @ ( '$local_world' @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(245,plain,
! [B: '$world',A: '$world'] :
( ~ ( A @ sk13 )
| ~ ( B @ p0 )
| ~ ( B @ ( A @ sk14 @ '$accessible_world' ) )
| ~ ( A @ ( '$local_world' @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[14]) ).
thf(374,plain,
! [B: '$world',A: '$world'] :
( ( ( sk69 @ ( '$local_world' @ '$accessible_world' ) )
!= ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ~ ( A @ sk13 )
| ~ ( B @ p0 )
| ~ ( B @ ( A @ sk14 @ '$accessible_world' ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11,245]) ).
thf(375,plain,
! [B: '$world',A: '$world'] :
( ( ( sk69 @ ( '$local_world' @ '$accessible_world' ) )
!= ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ~ ( A @ sk13 )
| ~ ( B @ p0 )
| ~ ( B @ ( A @ sk14 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[374]) ).
thf(376,plain,
! [A: '$world'] :
( ~ ( sk69 @ sk13 )
| ~ ( A @ p0 )
| ~ ( A @ ( sk69 @ sk14 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[375:[bind(A,$thf( sk69 ))]]) ).
thf(397,plain,
! [A: '$world'] :
( ~ ( sk69 @ sk13 )
| ~ ( A @ p0 )
| ~ ( A @ ( sk69 @ sk14 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[376]) ).
thf(400,plain,
! [A: '$world'] :
( ( ( A @ ( sk69 @ sk14 @ '$accessible_world' ) )
!= ( sk69 @ ( '$local_world' @ '$accessible_world' ) ) )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11,397]) ).
thf(401,plain,
! [A: '$world'] :
( ( ( A @ ( sk69 @ sk14 @ '$accessible_world' ) )
!= ( sk69 @ ( '$local_world' @ '$accessible_world' ) ) )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 ) ),
inference(simp,[status(thm)],[400]) ).
thf(405,plain,
! [A: '$world'] :
( ( A != sk69 )
| ( ( sk69 @ sk14 )
!= '$local_world' )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 ) ),
inference(simp,[status(thm)],[401]) ).
thf(408,plain,
( ( ( sk69 @ sk14 )
!= '$local_world' )
| ~ ( sk69 @ sk13 )
| ~ ( sk69 @ p0 ) ),
inference(simp,[status(thm)],[405]) ).
thf(170,plain,
~ ( sk146 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(42,plain,
sk71 @ ( sk70 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(24,plain,
sk54 @ ( sk53 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(37,plain,
sk88 @ ( sk87 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(116,plain,
~ ( sk78 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(38,plain,
sk5 @ ( sk4 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(398,plain,
! [A: '$world'] :
( ( ( A @ ( sk69 @ sk14 @ '$accessible_world' ) )
!= ( sk38 @ ( sk37 @ '$accessible_world' ) ) )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[12,397]) ).
thf(399,plain,
! [A: '$world'] :
( ( ( A @ ( sk69 @ sk14 @ '$accessible_world' ) )
!= ( sk38 @ ( sk37 @ '$accessible_world' ) ) )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 ) ),
inference(simp,[status(thm)],[398]) ).
thf(404,plain,
! [A: '$world'] :
( ( A != sk38 )
| ( ( sk69 @ sk14 )
!= sk37 )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 ) ),
inference(simp,[status(thm)],[399]) ).
thf(407,plain,
( ( ( sk69 @ sk14 )
!= sk37 )
| ~ ( sk69 @ sk13 )
| ~ ( sk38 @ p0 ) ),
inference(simp,[status(thm)],[404]) ).
thf(21,plain,
sk138 @ ( sk137 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(13,plain,
sk10 @ ( sk9 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(41,plain,
sk155 @ ( sk154 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(34,plain,
sk144 @ ( sk143 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(45,plain,
sk127 @ ( sk126 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(64,plain,
~ ( sk163 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(22,plain,
sk89 @ ( sk88 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(27,plain,
sk107 @ ( sk106 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(7,plain,
sk42 @ ( sk41 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(209,plain,
~ ( sk44 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(123,plain,
~ ( sk112 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(18,plain,
sk87 @ ( sk86 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(402,plain,
! [A: '$world'] :
( ( ( A @ ( sk69 @ sk14 @ '$accessible_world' ) )
!= ( sk42 @ ( sk41 @ '$accessible_world' ) ) )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7,397]) ).
thf(403,plain,
! [A: '$world'] :
( ( ( A @ ( sk69 @ sk14 @ '$accessible_world' ) )
!= ( sk42 @ ( sk41 @ '$accessible_world' ) ) )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 ) ),
inference(simp,[status(thm)],[402]) ).
thf(406,plain,
! [A: '$world'] :
( ( A != sk42 )
| ( ( sk69 @ sk14 )
!= sk41 )
| ~ ( sk69 @ sk13 )
| ~ ( A @ p0 ) ),
inference(simp,[status(thm)],[403]) ).
thf(409,plain,
( ( ( sk69 @ sk14 )
!= sk41 )
| ~ ( sk69 @ sk13 )
| ~ ( sk42 @ p0 ) ),
inference(simp,[status(thm)],[406]) ).
thf(43,plain,
sk1 @ ( '$local_world' @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(36,plain,
~ ( sk27 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(19,plain,
sk61 @ ( sk60 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(47,plain,
sk3 @ ( sk2 @ '$accessible_world' ),
inference(cnfConj,[status(thm)],[6]) ).
thf(200,plain,
~ ( sk129 @ p0 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(859,plain,
$false,
inference(e,[status(thm)],[10,228,356,212,12,140,16,4,408,170,42,24,37,397,116,38,407,21,13,41,34,45,64,22,27,7,245,209,123,18,409,11,43,36,19,47,200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYP101_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.41 % Computer : n006.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sat Sep 26 20:27:10 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.70/0.72 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.93/0.84 % [INFO] Parsing done (118ms).
% 0.93/0.85 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 0.93/0.85 %%% First-order logic specification detected, trying modal-logic-to-TXF embedding (redirected from embedding '$$modal' to embedding '$$fomlModel' version 1.3.7) ... Use flag -p FORCE_HIGHERORDER if you want to have THF output instead.
% 1.29/0.92 % [INFO] Running in sequential loop mode.
% 1.74/1.11 % [INFO] eprover registered as external prover.
% 1.74/1.11 % [INFO] Scanning for conjecture ...
% 2.55/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.75/1.42 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.75/1.42 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.75/1.44 % [INFO] Type checking passed.
% 2.75/1.44 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 13.22/4.60 % External prover 'e' found a proof!
% 13.22/4.61 % [INFO] Killing All external provers ...
% 13.22/4.61 % Time passed: 4108ms (effective reasoning time: 3682ms)
% 13.22/4.61 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 13.22/4.61 % Axioms used in derivation (1): mrel_reflexive
% 13.22/4.61 % No. of inferences in proof: 56
% 13.22/4.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4108 ms resp. 3682 ms w/o parsing
% 15.16/5.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.16/5.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------