%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL945_9 : TPTP v9.3.1. Bugfixed v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n012.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 07:53:24 AM UTC 2026
% Result : Theorem 130.77s 51.59s
% Output : Refutation 134.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 43
% Syntax : Number of formulae : 2879 ( 45 unt; 0 typ; 41 def)
% Number of atoms : 37175 (1523 equ; 0 cnn)
% Maximal formula atoms : 616 ( 12 avg)
% Number of connectives : 130310 (6191 ~;30598 |; 481 &;92564 @)
% ( 0 <=>; 476 =>; 0 <=; 0 <~>)
% Maximal formula depth : 144 ( 19 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 84 ( 81 usr; 15 con; 0-4 aty)
% Number of variables : 10660 ( 89 ^;10420 !; 110 ?;10660 :)
% ( 0 !>; 0 ?*; 0 @-; 41 @+)
% Comments :
%------------------------------------------------------------------------------
thf('$world_type',type,
'$world': $tType ).
thf('$accessible_world_decl',type,
'$accessible_world': '$world' > '$world' > $o ).
thf(chevy_decl,type,
chevy: '$world' > $i > $o ).
thf(dirty_decl,type,
dirty: '$world' > $i > $o ).
thf(barrel_decl,type,
barrel: '$world' > $i > $i > $o ).
thf(hollywood_decl,type,
hollywood: '$world' > $i > $o ).
thf(city_decl,type,
city: '$world' > $i > $o ).
thf(in_decl,type,
in: '$world' > $i > $i > $o ).
thf(old_decl,type,
old: '$world' > $i > $o ).
thf(down_decl,type,
down: '$world' > $i > $i > $o ).
thf(way_decl,type,
way: '$world' > $i > $o ).
thf(white_decl,type,
white: '$world' > $i > $o ).
thf(car_decl,type,
car: '$world' > $i > $o ).
thf(street_decl,type,
street: '$world' > $i > $o ).
thf(event_decl,type,
event: '$world' > $i > $o ).
thf(lonely_decl,type,
lonely: '$world' > $i > $o ).
thf(sk1_decl,type,
sk1: $o ).
thf(sk2_decl,type,
sk2: '$world' ).
thf(sk3_decl,type,
sk3: '$world' ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i > $o ).
thf(sk9_decl,type,
sk9: $i > '$world' ).
thf(sk10_decl,type,
sk10: $i > $o ).
thf(sk11_decl,type,
sk11: $i > '$world' ).
thf(sk12_decl,type,
sk12: $i > $i > $o ).
thf(sk13_decl,type,
sk13: $i > $i > '$world' ).
thf(sk14_decl,type,
sk14: $i > $i > $i > $o ).
thf(sk15_decl,type,
sk15: $i > $i > $i > '$world' ).
thf(sk16_decl,type,
sk16: $i > $i > $i > $o ).
thf(sk17_decl,type,
sk17: $i > $i > $i > '$world' ).
thf(sk18_decl,type,
sk18: $i > $i > $i > $o ).
thf(sk19_decl,type,
sk19: $i > $i > $i > '$world' ).
thf(sk20_decl,type,
sk20: $i > $i > $i > $o ).
thf(sk21_decl,type,
sk21: $i > $i > $i > '$world' ).
thf(sk22_decl,type,
sk22: $i > $i > $i > $o ).
thf(sk23_decl,type,
sk23: $i > $i > $i > '$world' ).
thf(sk24_decl,type,
sk24: $i > $i > $i > $i > $o ).
thf(sk25_decl,type,
sk25: $i > $i > $i > $i > '$world' ).
thf(sk26_decl,type,
sk26: $i > $i > $i > $i > $o ).
thf(sk27_decl,type,
sk27: $i > $i > $i > $i > '$world' ).
thf(sk28_decl,type,
sk28: $i > $i > $i > $i > $o ).
thf(sk29_decl,type,
sk29: $i > $i > $i > $i > '$world' ).
thf(sk30_decl,type,
sk30: $i > $i > $i > $o ).
thf(sk31_decl,type,
sk31: $i > $i > $i > $i > '$world' ).
thf(sk32_decl,type,
sk32: $i > $i > $i > $i > '$world' ).
thf(sk33_decl,type,
sk33: $i > $i > $i > $i > '$world' ).
thf(sk34_decl,type,
sk34: '$world' ).
thf(sk35_decl,type,
sk35: '$world' ).
thf(sk36_decl,type,
sk36: $i ).
thf(sk37_decl,type,
sk37: $i ).
thf(sk38_decl,type,
sk38: $i ).
thf(sk39_decl,type,
sk39: $i ).
thf(sk40_decl,type,
sk40: $i > $o ).
thf(sk41_decl,type,
sk41: $i > '$world' ).
thf(sk42_decl,type,
sk42: $i > $o ).
thf(sk43_decl,type,
sk43: $i > '$world' ).
thf(sk44_decl,type,
sk44: $i > $i > $o ).
thf(sk45_decl,type,
sk45: $i > $i > '$world' ).
thf(sk46_decl,type,
sk46: $i > $i > $i > $o ).
thf(sk47_decl,type,
sk47: $i > $i > $i > '$world' ).
thf(sk48_decl,type,
sk48: $i > $i > $i > $o ).
thf(sk49_decl,type,
sk49: $i > $i > $i > '$world' ).
thf(sk50_decl,type,
sk50: $i > $i > $i > $o ).
thf(sk51_decl,type,
sk51: $i > $i > $i > '$world' ).
thf(sk52_decl,type,
sk52: $i > $i > $i > $i > $o ).
thf(sk53_decl,type,
sk53: $i > $i > $i > $i > '$world' ).
thf(sk54_decl,type,
sk54: $i > $i > $i > $i > $o ).
thf(sk55_decl,type,
sk55: $i > $i > $i > $i > '$world' ).
thf(sk56_decl,type,
sk56: $i > $i > $i > $i > $o ).
thf(sk57_decl,type,
sk57: $i > $i > $i > $i > '$world' ).
thf(sk58_decl,type,
sk58: $i > $i > $i > $i > $o ).
thf(sk59_decl,type,
sk59: $i > $i > $i > $i > '$world' ).
thf(sk60_decl,type,
sk60: $i > $i > $i > $i > $o ).
thf(sk61_decl,type,
sk61: $i > $i > $i > $i > '$world' ).
thf(sk62_decl,type,
sk62: $i > $i > $i > $o ).
thf(sk63_decl,type,
sk63: $i > $i > $i > $i > '$world' ).
thf(sk64_decl,type,
sk64: $i > $i > $i > $i > '$world' ).
thf(sk65_decl,type,
sk65: $i > $i > $i > $i > '$world' ).
thf(sk66_decl,type,
sk66: '$world' > '$world' ).
thf(sk2_def,definition,
( sk2
= ( @+[A: '$world'] :
~ ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ lonely ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ way ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ street ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) )
=> ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ old ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ dirty ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ white ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ car ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ chevy ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: '$world'] :
~ ( ( A @ ( sk2 @ '$accessible_world' ) )
=> ( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ ( F @ in ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( D @ ( C @ ( F @ down ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( C @ ( F @ barrel ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ old ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ dirty ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ white ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ car ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ chevy ) ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ lonely ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ way ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ street ) ) ) )
& ! [D: '$world'] :
( ( D @ ( A @ '$accessible_world' ) )
=> ( C @ ( D @ event ) ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ city ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ hollywood ) ) ) )
=> ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ ( F @ in ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( C @ ( F @ down ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( D @ ( C @ ( F @ barrel ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ lonely ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ way ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ street ) ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ old ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ dirty ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ white ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ car ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ chevy ) ) ) )
& ! [D: '$world'] :
( ( D @ ( A @ '$accessible_world' ) )
=> ( C @ ( D @ event ) ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ city ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ hollywood ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ ( E @ in ) ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( B @ ( E @ down ) ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( B @ ( E @ barrel ) ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( E @ old ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( E @ dirty ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( E @ white ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( E @ car ) ) )
& ! [E: '$world'] :
( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( E @ chevy ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ lonely ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ way ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ street ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ event ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ city ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ hollywood ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( sk4 @ ( A @ ( D @ in ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( A @ ( D @ down ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( A @ ( D @ barrel ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ old ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ dirty ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ white ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ car ) ) )
& ! [D: '$world'] :
( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( C @ ( D @ chevy ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ lonely ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ way ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ street ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ event ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: $i] :
( ? [B: $i] :
( ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( sk4 @ ( sk5 @ ( C @ in ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( sk5 @ ( C @ down ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( sk5 @ ( C @ barrel ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ old ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ dirty ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ white ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ car ) ) )
& ! [C: '$world'] :
( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ chevy ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ lonely ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ way ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ street ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
( ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( sk4 @ ( sk5 @ ( B @ in ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( sk6 @ ( sk5 @ ( B @ down ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( sk5 @ ( B @ barrel ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ old ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ dirty ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ white ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ car ) ) )
& ! [B: '$world'] :
( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ chevy ) ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( ^ [A: $i] :
@+[B: '$world'] :
~ ( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ hollywood ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( ^ [A: $i] :
@+[B: '$world'] :
~ ( ( B @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( B @ city ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: $i,B: $i] :
@+[C: '$world'] :
~ ( ( C @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( C @ event ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( D @ chevy ) ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( D @ car ) ) ) ) ) ).
thf(sk19_def,definition,
( sk19
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( D @ white ) ) ) ) ) ).
thf(sk21_def,definition,
( sk21
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( D @ dirty ) ) ) ) ) ).
thf(sk23_def,definition,
( sk23
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( D @ old ) ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( E @ street ) ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( E @ way ) ) ) ) ) ).
thf(sk29_def,definition,
( sk29
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( E @ lonely ) ) ) ) ) ).
thf(sk31_def,definition,
( sk31
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( B @ ( C @ ( E @ barrel ) ) ) ) ) ) ).
thf(sk32_def,definition,
( sk32
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( A @ ( C @ ( E @ down ) ) ) ) ) ) ).
thf(sk33_def,definition,
( sk33
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk3 @ '$accessible_world' ) )
=> ( D @ ( C @ ( E @ in ) ) ) ) ) ) ).
thf(sk34_def,definition,
( sk34
= ( @+[A: '$world'] :
~ ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ old ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ dirty ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ white ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ car ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ chevy ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) )
=> ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ lonely ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ way ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ street ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) ) ) ) ) ) ).
thf(sk35_def,definition,
( sk35
= ( @+[A: '$world'] :
~ ( ( A @ ( sk34 @ '$accessible_world' ) )
=> ( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ ( F @ in ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( C @ ( F @ down ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( D @ ( C @ ( F @ barrel ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ lonely ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ way ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ street ) ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ old ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ dirty ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ white ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ car ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ chevy ) ) ) )
& ! [D: '$world'] :
( ( D @ ( A @ '$accessible_world' ) )
=> ( C @ ( D @ event ) ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ city ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ hollywood ) ) ) )
=> ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ ( F @ in ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( D @ ( C @ ( F @ down ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( C @ ( F @ barrel ) ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ old ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ dirty ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ white ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ car ) ) )
& ! [F: '$world'] :
( ( F @ ( A @ '$accessible_world' ) )
=> ( E @ ( F @ chevy ) ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ lonely ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ way ) ) )
& ! [E: '$world'] :
( ( E @ ( A @ '$accessible_world' ) )
=> ( D @ ( E @ street ) ) ) )
& ! [D: '$world'] :
( ( D @ ( A @ '$accessible_world' ) )
=> ( C @ ( D @ event ) ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ city ) ) )
& ! [C: '$world'] :
( ( C @ ( A @ '$accessible_world' ) )
=> ( B @ ( C @ hollywood ) ) ) ) ) ) ) ) ).
thf(sk36_def,definition,
( sk36
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ! [E: '$world'] :
( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ ( E @ in ) ) ) )
& ! [E: '$world'] :
( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( D @ ( B @ ( E @ down ) ) ) )
& ! [E: '$world'] :
( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( B @ ( E @ barrel ) ) ) )
& ! [E: '$world'] :
( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( D @ ( E @ lonely ) ) )
& ! [E: '$world'] :
( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( D @ ( E @ way ) ) )
& ! [E: '$world'] :
( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( D @ ( E @ street ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ old ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ dirty ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ white ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ car ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ chevy ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ event ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ city ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ hollywood ) ) ) ) ) ) ).
thf(sk37_def,definition,
( sk37
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( sk36 @ ( A @ ( D @ in ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( A @ ( D @ down ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( A @ ( D @ barrel ) ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ lonely ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ way ) ) )
& ! [D: '$world'] :
( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( C @ ( D @ street ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ old ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ dirty ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ white ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ car ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ chevy ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ event ) ) ) ) ) ) ).
thf(sk38_def,definition,
( sk38
= ( @+[A: $i] :
( ? [B: $i] :
( ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( sk36 @ ( sk37 @ ( C @ in ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( sk37 @ ( C @ down ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( sk37 @ ( C @ barrel ) ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ lonely ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ way ) ) )
& ! [C: '$world'] :
( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ street ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ old ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ dirty ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ white ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ car ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ chevy ) ) ) ) ) ) ).
thf(sk39_def,definition,
( sk39
= ( @+[A: $i] :
( ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( sk36 @ ( sk37 @ ( B @ in ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( sk37 @ ( B @ down ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( sk38 @ ( sk37 @ ( B @ barrel ) ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ lonely ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ way ) ) )
& ! [B: '$world'] :
( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ street ) ) ) ) ) ) ).
thf(sk41_def,definition,
( sk41
= ( ^ [A: $i] :
@+[B: '$world'] :
~ ( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ hollywood ) ) ) ) ) ).
thf(sk43_def,definition,
( sk43
= ( ^ [A: $i] :
@+[B: '$world'] :
~ ( ( B @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( B @ city ) ) ) ) ) ).
thf(sk45_def,definition,
( sk45
= ( ^ [A: $i,B: $i] :
@+[C: '$world'] :
~ ( ( C @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( C @ event ) ) ) ) ) ).
thf(sk47_def,definition,
( sk47
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( D @ street ) ) ) ) ) ).
thf(sk49_def,definition,
( sk49
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( D @ way ) ) ) ) ) ).
thf(sk51_def,definition,
( sk51
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: '$world'] :
~ ( ( D @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( D @ lonely ) ) ) ) ) ).
thf(sk53_def,definition,
( sk53
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( E @ chevy ) ) ) ) ) ).
thf(sk55_def,definition,
( sk55
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( E @ car ) ) ) ) ) ).
thf(sk57_def,definition,
( sk57
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( E @ white ) ) ) ) ) ).
thf(sk59_def,definition,
( sk59
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( E @ dirty ) ) ) ) ) ).
thf(sk61_def,definition,
( sk61
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( E @ old ) ) ) ) ) ).
thf(sk63_def,definition,
( sk63
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( A @ ( C @ ( E @ barrel ) ) ) ) ) ) ).
thf(sk64_def,definition,
( sk64
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( B @ ( C @ ( E @ down ) ) ) ) ) ) ).
thf(sk65_def,definition,
( sk65
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: '$world'] :
~ ( ( E @ ( sk35 @ '$accessible_world' ) )
=> ( D @ ( C @ ( E @ in ) ) ) ) ) ) ).
thf(sk66_def,definition,
( sk66
= ( ^ [A: '$world'] :
@+[B: '$world'] : ( B @ ( A @ '$accessible_world' ) ) ) ) ).
thf(1,conjecture,
! [A: '$world'] :
( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) )
=> ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) )
=> ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ! [A: '$world'] :
( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) )
=> ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) )
=> ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: '$world'] :
( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) )
=> ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) )
=> ? [C: $i,D: $i,E: $i,F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( G @ chevy ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( D @ ( G @ event ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ city ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( G @ hollywood ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ( ! [A: '$world',B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ old ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ dirty ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ white ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ car ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ chevy ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) )
=> ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ lonely ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ way ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ street ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) ) ) )
& ! [A: '$world',B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ old ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ dirty ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ white ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ car ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ chevy ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ lonely ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ way ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ street ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) )
=> ? [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ ( G @ in ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( D @ ( G @ down ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( E @ ( D @ ( G @ barrel ) ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ lonely ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ way ) ) )
& ! [G: '$world'] :
( ( G @ ( B @ '$accessible_world' ) )
=> ( F @ ( G @ street ) ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ old ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ dirty ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ white ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ car ) ) )
& ! [F: '$world'] :
( ( F @ ( B @ '$accessible_world' ) )
=> ( E @ ( F @ chevy ) ) ) )
& ! [E: '$world'] :
( ( E @ ( B @ '$accessible_world' ) )
=> ( D @ ( E @ event ) ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ city ) ) )
& ! [D: '$world'] :
( ( D @ ( B @ '$accessible_world' ) )
=> ( C @ ( D @ hollywood ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
! [ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: '$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: $i,Q: $i,P: $i,O: $i,N: '$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: '$world'] :
( ( ~ ( ZG @ ( ZH @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk65 ) ) ) @ in ) ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk64 ) ) ) @ down ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk62 ) ) )
| ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ~ ( ZI @ ( ZH @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk64 ) ) ) @ down ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk62 ) ) )
| ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk65 ) ) ) @ in ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ sk62 ) ) )
| ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ sk62 ) ) )
| ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ sk62 ) ) )
| ~ ( ZJ @ ( ZH @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk63 ) ) ) @ barrel ) ) )
| ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ sk62 ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk63 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ~ ( ZJ @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk61 ) ) ) @ old ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZJ @ ( ZH @ sk60 ) ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ~ ( ZJ @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk59 ) ) ) @ dirty ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk58 ) ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ~ ( ZJ @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk57 ) ) ) @ white ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk56 ) ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ~ ( ZJ @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk55 ) ) ) @ car ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk54 ) ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ~ ( ZJ @ ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk53 ) ) ) @ chevy ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ ( ZJ @ sk52 ) ) ) )
| ( ZG @ ( ZH @ ( ZI @ ( ZJ @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ~ ( ZI @ ( ZG @ ( ZH @ ( ZI @ sk51 ) ) @ lonely ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZI @ ( ZH @ sk50 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ~ ( ZI @ ( ZG @ ( ZH @ ( ZI @ sk49 ) ) @ way ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ ( ZI @ sk48 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ~ ( ZI @ ( ZG @ ( ZH @ ( ZI @ sk47 ) ) @ street ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ ( ZI @ sk46 ) ) )
| ( ZG @ ( ZH @ ( ZI @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ sk44 ) )
| ~ ( ZH @ ( ZG @ ( ZH @ sk45 ) @ event ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ ( ZH @ sk44 ) )
| ( ZG @ ( ZH @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ sk42 )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ sk42 )
| ~ ( ZG @ ( ZG @ sk43 @ city ) )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ sk42 )
| ( ZG @ sk43 @ ( sk35 @ '$accessible_world' ) )
| ( ZG @ sk40 )
| sk1 )
& ( ~ ( ZG @ sk40 )
| ~ ( ZG @ ( ZG @ sk41 @ hollywood ) )
| sk1 )
& ( ~ ( ZG @ sk40 )
| ( ZG @ sk41 @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk36 @ ( sk37 @ ( ZF @ in ) ) )
| ~ ( ZF @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk39 @ ( sk37 @ ( ZE @ down ) ) )
| ~ ( ZE @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk38 @ ( sk37 @ ( ZD @ barrel ) ) )
| ~ ( ZD @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk39 @ ( ZC @ lonely ) )
| ~ ( ZC @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk39 @ ( ZB @ way ) )
| ~ ( ZB @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk39 @ ( ZA @ street ) )
| ~ ( ZA @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk38 @ ( Z @ old ) )
| ~ ( Z @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk38 @ ( Y @ dirty ) )
| ~ ( Y @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk38 @ ( X @ white ) )
| ~ ( X @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk38 @ ( W @ car ) )
| ~ ( W @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk38 @ ( V @ chevy ) )
| ~ ( V @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk37 @ ( U @ event ) )
| ~ ( U @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk36 @ ( T @ city ) )
| ~ ( T @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk36 @ ( S @ hollywood ) )
| ~ ( S @ ( sk35 @ '$accessible_world' ) )
| sk1 )
& ( ( sk35 @ ( sk34 @ '$accessible_world' ) )
| sk1 )
& ( ~ sk1
| ~ ( O @ ( P @ ( O @ ( P @ ( Q @ ( R @ sk33 ) ) ) @ in ) ) )
| ~ ( R @ ( P @ ( O @ ( P @ ( Q @ ( R @ sk32 ) ) ) @ down ) ) )
| ( O @ ( R @ ( P @ sk30 ) ) )
| ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ( O @ ( P @ ( Q @ ( R @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ ( R @ ( P @ ( O @ ( P @ ( Q @ ( R @ sk32 ) ) ) @ down ) ) )
| ( O @ ( R @ ( P @ sk30 ) ) )
| ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( O @ ( P @ ( Q @ ( R @ sk33 ) ) ) @ in ) ) )
| ( O @ ( P @ ( Q @ ( R @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( R @ ( P @ sk30 ) ) )
| ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ( O @ ( P @ ( Q @ ( R @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( P @ ( Q @ ( R @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( R @ ( P @ sk30 ) ) )
| ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( R @ ( P @ sk30 ) ) )
| ~ ( Q @ ( P @ ( O @ ( P @ ( Q @ ( R @ sk31 ) ) ) @ barrel ) ) )
| ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( R @ ( P @ sk30 ) ) )
| ( O @ ( P @ ( Q @ ( R @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ~ ( R @ ( O @ ( P @ ( Q @ ( R @ sk29 ) ) ) @ lonely ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( R @ ( Q @ ( P @ sk28 ) ) ) )
| ( O @ ( P @ ( Q @ ( R @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ~ ( R @ ( O @ ( P @ ( Q @ ( R @ sk27 ) ) ) @ way ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( Q @ ( P @ ( R @ sk26 ) ) ) )
| ( O @ ( P @ ( Q @ ( R @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ~ ( R @ ( O @ ( P @ ( Q @ ( R @ sk25 ) ) ) @ street ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( Q @ ( P @ ( R @ sk24 ) ) ) )
| ( O @ ( P @ ( Q @ ( R @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( Q @ ( P @ sk22 ) ) )
| ~ ( Q @ ( O @ ( P @ ( Q @ sk23 ) ) @ old ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( Q @ ( P @ sk22 ) ) )
| ( O @ ( P @ ( Q @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk20 ) ) )
| ~ ( Q @ ( O @ ( P @ ( Q @ sk21 ) ) @ dirty ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk20 ) ) )
| ( O @ ( P @ ( Q @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk18 ) ) )
| ~ ( Q @ ( O @ ( P @ ( Q @ sk19 ) ) @ white ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk18 ) ) )
| ( O @ ( P @ ( Q @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk16 ) ) )
| ~ ( Q @ ( O @ ( P @ ( Q @ sk17 ) ) @ car ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk16 ) ) )
| ( O @ ( P @ ( Q @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk14 ) ) )
| ~ ( Q @ ( O @ ( P @ ( Q @ sk15 ) ) @ chevy ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ ( Q @ sk14 ) ) )
| ( O @ ( P @ ( Q @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ ( P @ sk12 ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ sk12 ) )
| ~ ( P @ ( O @ ( P @ sk13 ) @ event ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ ( P @ sk12 ) )
| ( O @ ( P @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
| ( O @ sk10 )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ sk10 )
| ~ ( O @ ( O @ sk11 @ city ) )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ sk10 )
| ( O @ sk11 @ ( sk3 @ '$accessible_world' ) )
| ( O @ sk8 ) )
& ( ~ sk1
| ~ ( O @ sk8 )
| ~ ( O @ ( O @ sk9 @ hollywood ) ) )
& ( ~ sk1
| ~ ( O @ sk8 )
| ( O @ sk9 @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk4 @ ( sk5 @ ( N @ in ) ) )
| ~ ( N @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk6 @ ( sk5 @ ( M @ down ) ) )
| ~ ( M @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk7 @ ( sk5 @ ( L @ barrel ) ) )
| ~ ( L @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk7 @ ( K @ old ) )
| ~ ( K @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk7 @ ( J @ dirty ) )
| ~ ( J @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk7 @ ( I @ white ) )
| ~ ( I @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk7 @ ( H @ car ) )
| ~ ( H @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk7 @ ( G @ chevy ) )
| ~ ( G @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk6 @ ( F @ lonely ) )
| ~ ( F @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk6 @ ( E @ way ) )
| ~ ( E @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk6 @ ( D @ street ) )
| ~ ( D @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk5 @ ( C @ event ) )
| ~ ( C @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk4 @ ( B @ city ) )
| ~ ( B @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk4 @ ( A @ hollywood ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) )
& ( ~ sk1
| ( sk3 @ ( sk2 @ '$accessible_world' ) ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(19,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(169,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[19]) ).
thf(88,plain,
! [A: '$world'] :
( ( sk39 @ ( A @ lonely ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(99,plain,
! [A: '$world'] :
( ( sk39 @ ( A @ lonely ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[88]) ).
thf(338,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,99]) ).
thf(339,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[338]) ).
thf(340,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[339:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(361,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[340]) ).
thf(39,plain,
! [A: '$world'] :
( ( sk37 @ ( A @ event ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(144,plain,
! [A: '$world'] :
( ( sk37 @ ( A @ event ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[39]) ).
thf(861,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,144]) ).
thf(862,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[861]) ).
thf(863,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[862:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(892,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[863]) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[28]) ).
thf(9,plain,
! [A: '$world'] :
( ( sk36 @ ( A @ city ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(125,plain,
! [A: '$world'] :
( ( sk36 @ ( A @ city ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[9]) ).
thf(2757,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,125]) ).
thf(2758,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2757]) ).
thf(2759,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk51 ) ) @ city ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2758:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2822,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk51 ) ) @ city ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2759]) ).
thf(55,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk8 )
| ( A @ sk9 @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(160,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk8 )
| ( A @ sk9 @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[55]) ).
thf(83,plain,
! [A: '$world'] :
( ~ sk1
| ( sk4 @ ( A @ city ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(175,plain,
! [A: '$world'] :
( ~ sk1
| ( sk4 @ ( A @ city ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[83]) ).
thf(1308,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,175]) ).
thf(1309,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( B @ city ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1308]) ).
thf(1310,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk9 @ city ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1309:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(1337,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk9 @ city ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1310]) ).
thf(41,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(128,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[41]) ).
thf(26,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( A @ way ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(159,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( A @ way ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[26]) ).
thf(2570,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,159]) ).
thf(2571,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( B @ way ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2570]) ).
thf(2572,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk11 @ way ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2571:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2612,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk11 @ way ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2572]) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(109,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[46]) ).
thf(57,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ dirty ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(110,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ dirty ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[57]) ).
thf(1502,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,110]) ).
thf(1503,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ dirty ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1502]) ).
thf(1504,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1503:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1559,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1504]) ).
thf(10,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(100,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[10]) ).
thf(52,plain,
! [A: '$world'] :
( ( sk39 @ ( A @ street ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(106,plain,
! [A: '$world'] :
( ( sk39 @ ( A @ street ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[52]) ).
thf(446,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,106]) ).
thf(447,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[446]) ).
thf(448,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[447:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(468,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[448]) ).
thf(71,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ chevy ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(137,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ chevy ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[71]) ).
thf(913,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,137]) ).
thf(914,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ chevy ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[913]) ).
thf(915,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ chevy ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[914:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(941,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ chevy ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[915]) ).
thf(66,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(146,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[66]) ).
thf(5006,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,99]) ).
thf(5007,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5006]) ).
thf(5008,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5007:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5028,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5008]) ).
thf(42,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[42]) ).
thf(15,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ old ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(171,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ old ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[15]) ).
thf(1245,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,171]) ).
thf(1246,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1245]) ).
thf(1247,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1246:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(1295,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1247]) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[91]) ).
thf(4835,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,110]) ).
thf(4836,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4835]) ).
thf(4837,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4836:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4904,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4837]) ).
thf(74,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ white ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(115,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ white ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[74]) ).
thf(636,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,115]) ).
thf(637,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[636]) ).
thf(638,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[637:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(675,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[638]) ).
thf(90,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ white ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ white ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[90]) ).
thf(10163,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ white ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk57 ) ) ) @ white ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[675,174]) ).
thf(10164,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ white ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk57 ) ) ) @ white ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[10163]) ).
thf(10165,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[10164:[bind(A,$thf( sk38 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk38 ))]]) ).
thf(10166,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[10165]) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk19 ) ) @ white ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(138,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk19 ) ) @ white ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[12]) ).
thf(64,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[64]) ).
thf(34,plain,
! [A: '$world'] :
( ~ sk1
| ( sk4 @ ( A @ hollywood ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(3297,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,34]) ).
thf(3298,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ hollywood ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3297]) ).
thf(3299,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3298:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3345,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3299]) ).
thf(853,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,144]) ).
thf(854,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[853]) ).
thf(855,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[854:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(888,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[855]) ).
thf(35,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ car ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(148,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ car ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[35]) ).
thf(3954,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,148]) ).
thf(3955,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3954]) ).
thf(3956,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3955:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4005,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3956]) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ way ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(101,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ way ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[56]) ).
thf(13,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ old ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(127,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ old ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[13]) ).
thf(4877,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,127]) ).
thf(4878,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ old ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4877]) ).
thf(4879,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4878:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4909,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4879]) ).
thf(3,axiom,
! [A: '$world'] :
? [B: '$world'] : ( B @ ( A @ '$accessible_world' ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_serial) ).
thf(176,plain,
! [A: '$world'] :
? [B: '$world'] : ( B @ ( A @ '$accessible_world' ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(177,plain,
! [A: '$world'] : ( A @ sk66 @ ( A @ '$accessible_world' ) ),
inference(cnf,[status(esa)],[176]) ).
thf(14,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( sk5 @ ( A @ down ) ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(107,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( sk5 @ ( A @ down ) ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[14]) ).
thf(1235,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( B @ down ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,107]) ).
thf(1236,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( B @ down ) ) ) ),
inference(simp,[status(thm)],[1235]) ).
thf(1237,plain,
( ~ sk1
| ( sk6 @ ( sk5 @ ( sk3 @ sk66 @ down ) ) ) ),
inference(pattern_uni,[status(thm)],[1236:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(86,plain,
! [A: $i] :
( ~ ( A @ sk40 )
| ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(140,plain,
! [A: $i] :
( ~ ( A @ sk40 )
| ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[86]) ).
thf(802,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ street ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,106]) ).
thf(803,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ street ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[802]) ).
thf(804,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk41 @ street ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[803:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(846,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk41 @ street ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[804]) ).
thf(48,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ chevy ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(149,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ chevy ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[48]) ).
thf(1059,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,149]) ).
thf(1060,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1059]) ).
thf(1061,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1060:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(1098,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1061]) ).
thf(5299,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,171]) ).
thf(5300,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5299]) ).
thf(5301,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5300:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5320,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5301]) ).
thf(47,plain,
! [A: '$world'] :
( ( sk39 @ ( sk37 @ ( A @ down ) ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(170,plain,
! [A: '$world'] :
( ( sk39 @ ( sk37 @ ( A @ down ) ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[47]) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[68]) ).
thf(6544,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,159]) ).
thf(6545,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ way ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6544]) ).
thf(6546,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk19 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6545:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6587,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk19 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6546]) ).
thf(49,plain,
( ( sk35 @ ( sk34 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(1269,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ old ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,171]) ).
thf(1270,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ old ) )
| sk1 ),
inference(simp,[status(thm)],[1269]) ).
thf(1285,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk38 @ ( A @ old ) )
| sk1 ),
inference(simp,[status(thm)],[1270]) ).
thf(1290,plain,
( ( sk35 != sk34 )
| ( sk38 @ ( sk35 @ old ) )
| sk1 ),
inference(simp,[status(thm)],[1285]) ).
thf(40,plain,
! [A: '$world'] :
( ~ sk1
| ( sk4 @ ( sk5 @ ( A @ in ) ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(158,plain,
! [A: '$world'] :
( ~ sk1
| ( sk4 @ ( sk5 @ ( A @ in ) ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[40]) ).
thf(2031,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( B @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,158]) ).
thf(2032,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( B @ in ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[2031]) ).
thf(2033,plain,
! [A: $i] :
( ( sk4 @ ( sk5 @ ( A @ sk9 @ in ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2032:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(2062,plain,
! [A: $i] :
( ( sk4 @ ( sk5 @ ( A @ sk9 @ in ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[2033]) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(157,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[43]) ).
thf(92,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ car ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(123,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ car ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[92]) ).
thf(6186,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,123]) ).
thf(6187,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ car ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6186]) ).
thf(6188,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6187:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6219,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6188]) ).
thf(960,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,148]) ).
thf(961,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[960]) ).
thf(962,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[961:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(994,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[962]) ).
thf(31,plain,
( ~ sk1
| ( sk3 @ ( sk2 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(732,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( A @ chevy ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,137]) ).
thf(733,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk7 @ ( A @ chevy ) )
| ~ sk1 ),
inference(simp,[status(thm)],[732]) ).
thf(739,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( A @ chevy ) ) ),
inference(simp,[status(thm)],[733]) ).
thf(741,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk3 @ chevy ) ) ),
inference(simp,[status(thm)],[739]) ).
thf(24,plain,
! [A: '$world'] :
( ( sk39 @ ( A @ way ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(103,plain,
! [A: '$world'] :
( ( sk39 @ ( A @ way ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[24]) ).
thf(392,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,103]) ).
thf(393,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[392]) ).
thf(394,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[393:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(416,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[394]) ).
thf(1180,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,103]) ).
thf(1181,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1180]) ).
thf(1182,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1181:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1205,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1182]) ).
thf(432,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,103]) ).
thf(433,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[432]) ).
thf(434,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[433:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(440,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[434]) ).
thf(6176,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,159]) ).
thf(6177,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ way ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6176]) ).
thf(6178,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk23 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6177:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6214,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk23 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6178]) ).
thf(443,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,106]) ).
thf(444,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[443]) ).
thf(445,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[444:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(472,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[445]) ).
thf(1447,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,149]) ).
thf(1448,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1447]) ).
thf(1449,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1448:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1486,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1449]) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(113,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[61]) ).
thf(45,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ dirty ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(129,plain,
! [A: '$world'] :
( ( sk38 @ ( A @ dirty ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[45]) ).
thf(1793,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,129]) ).
thf(1794,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1793]) ).
thf(1795,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1794:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1855,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1795]) ).
thf(1172,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,144]) ).
thf(1173,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1172]) ).
thf(1174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1173:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1200,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1174]) ).
thf(69,plain,
! [A: '$world'] :
( ( sk36 @ ( A @ hollywood ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(98,plain,
! [A: '$world'] :
( ( sk36 @ ( A @ hollywood ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[69]) ).
thf(512,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,98]) ).
thf(513,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[512]) ).
thf(514,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[513:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(523,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[514]) ).
thf(65,plain,
! [A: $i] :
( ~ ( A @ sk42 )
| ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(124,plain,
! [A: $i] :
( ~ ( A @ sk42 )
| ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[65]) ).
thf(2467,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ car ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,148]) ).
thf(2468,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ car ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2467]) ).
thf(2469,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ car ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2468:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2512,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ car ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2469]) ).
thf(73,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(95,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[73]) ).
thf(2201,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,170]) ).
thf(2202,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2201]) ).
thf(2203,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2202:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(2231,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2203]) ).
thf(25,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(105,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[25]) ).
thf(18,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( sk5 @ ( A @ barrel ) ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(151,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( sk5 @ ( A @ barrel ) ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[18]) ).
thf(29,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ barrel ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(112,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ barrel ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[29]) ).
thf(1657,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( sk5 @ ( A @ barrel ) ) )
!= ( D @ ( C @ ( B @ ( C @ ( D @ ( E @ sk31 ) ) ) @ barrel ) ) ) )
| ~ sk1
| ~ ( B @ ( E @ ( C @ sk30 ) ) )
| ~ $true
| ( B @ ( E @ ( D @ ( C @ sk28 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk26 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk24 ) ) ) )
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[151,112]) ).
thf(1658,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( sk5 @ ( A @ barrel ) ) )
!= ( D @ ( C @ ( B @ ( C @ ( D @ ( E @ sk31 ) ) ) @ barrel ) ) ) )
| ~ ( B @ ( E @ ( C @ sk30 ) ) )
| ( B @ ( E @ ( D @ ( C @ sk28 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk26 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk24 ) ) ) )
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[1657]) ).
thf(1659,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[1658:[bind(A,$thf( I @ ( sk5 @ ( sk7 @ ( F @ sk31 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( sk5 )),bind(D,$thf( sk7 )),bind(E,$thf( F ))]]) ).
thf(1675,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[1659]) ).
thf(10992,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( F @ ( sk5 @ ( sk7 @ ( E @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( F @ ( E @ ( sk5 @ sk30 ) ) )
| ( F @ ( E @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( F @ ( sk7 @ ( sk5 @ ( E @ sk26 ) ) ) )
| ( F @ ( sk7 @ ( sk5 @ ( E @ sk24 ) ) ) )
| ( F @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( F @ ( sk5 @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,1675]) ).
thf(10993,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( F @ ( sk5 @ ( sk7 @ ( E @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( F @ ( E @ ( sk5 @ sk30 ) ) )
| ( F @ ( E @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( F @ ( sk7 @ ( sk5 @ ( E @ sk26 ) ) ) )
| ( F @ ( sk7 @ ( sk5 @ ( E @ sk24 ) ) ) )
| ( F @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( F @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( F @ ( sk5 @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[10992]) ).
thf(10994,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[10993:[bind(A,$thf( A )),bind(B,$thf( sk5 )),bind(C,$thf( sk7 )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( A ))]]) ).
thf(11087,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[10994]) ).
thf(11879,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,109]) ).
thf(11880,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[11879]) ).
thf(11881,plain,
! [B: $i,A: $i] :
( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[11880:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( B ))]]) ).
thf(11885,plain,
! [B: $i,A: $i] :
( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[11881]) ).
thf(30,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( A @ street ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(167,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( A @ street ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[30]) ).
thf(22280,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( C @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,167]) ).
thf(22281,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( C @ street ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22280]) ).
thf(22282,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ street ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22281:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22333,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ street ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22282]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(155,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[11]) ).
thf(3381,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,110]) ).
thf(3382,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3381]) ).
thf(3383,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ dirty ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3382:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3460,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ dirty ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3383]) ).
thf(77,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ white ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(94,plain,
! [A: '$world'] :
( ~ sk1
| ( sk7 @ ( A @ white ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(1555,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,94]) ).
thf(1556,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ white ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1555]) ).
thf(1557,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1556:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1569,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1557]) ).
thf(21,plain,
! [A: '$world'] :
( ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(119,plain,
! [A: '$world'] :
( ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[21]) ).
thf(1911,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,119]) ).
thf(1912,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
| sk1 ),
inference(simp,[status(thm)],[1911]) ).
thf(1933,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
| sk1 ),
inference(simp,[status(thm)],[1912]) ).
thf(1939,plain,
( ( sk35 != sk34 )
| ( sk38 @ ( sk37 @ ( sk35 @ barrel ) ) )
| sk1 ),
inference(simp,[status(thm)],[1933]) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(173,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[62]) ).
thf(4621,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,115]) ).
thf(4622,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4621]) ).
thf(4623,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ white ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4622:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4697,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ white ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4623]) ).
thf(33,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ chevy ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(120,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ chevy ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[33]) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(133,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22]) ).
thf(237,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ hollywood ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,34]) ).
thf(238,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ hollywood ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[237]) ).
thf(239,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ hollywood ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[238:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(247,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ hollywood ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[239]) ).
thf(1648,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,151]) ).
thf(1649,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1648]) ).
thf(1650,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1649:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1670,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1650]) ).
thf(22379,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1670]) ).
thf(22380,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ barrel ) ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22379]) ).
thf(22381,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ barrel ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22380:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22489,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22381]) ).
thf(1633,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,151]) ).
thf(1634,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1633]) ).
thf(1635,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ barrel ) ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1634:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(1671,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ barrel ) ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1635]) ).
thf(60,plain,
! [A: '$world'] :
( ~ sk1
| ( sk5 @ ( A @ event ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(116,plain,
! [A: '$world'] :
( ~ sk1
| ( sk5 @ ( A @ event ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(378,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( A @ event ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,116]) ).
thf(379,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk5 @ ( A @ event ) )
| ~ sk1 ),
inference(simp,[status(thm)],[378]) ).
thf(383,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk5 @ ( A @ event ) ) ),
inference(simp,[status(thm)],[379]) ).
thf(385,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk5 @ ( sk3 @ event ) ) ),
inference(simp,[status(thm)],[383]) ).
thf(371,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( E @ event ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,116]) ).
thf(372,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( E @ event ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[371]) ).
thf(373,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ event ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[372:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(384,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ event ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[373]) ).
thf(1110,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ street ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,167]) ).
thf(1111,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ street ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1110]) ).
thf(1112,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ street ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1111:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(1137,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ street ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1112]) ).
thf(2591,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( B @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,158]) ).
thf(2592,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( B @ in ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2591]) ).
thf(2593,plain,
! [A: $i] :
( ( sk4 @ ( sk5 @ ( A @ sk11 @ in ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2592:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2607,plain,
! [A: $i] :
( ( sk4 @ ( sk5 @ ( A @ sk11 @ in ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2593]) ).
thf(1523,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,34]) ).
thf(1524,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ hollywood ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1523]) ).
thf(1525,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1524:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1568,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1525]) ).
thf(21089,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ hollywood ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1568]) ).
thf(21090,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ hollywood ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21089]) ).
thf(21091,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ hollywood ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[21090:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(21192,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21091]) ).
thf(3960,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,144]) ).
thf(3961,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3960]) ).
thf(3962,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3961:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4011,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3962]) ).
thf(569,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,125]) ).
thf(570,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[569]) ).
thf(571,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[570:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(605,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[571]) ).
thf(3172,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,115]) ).
thf(3173,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3172]) ).
thf(3174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3173:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3253,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3174]) ).
thf(919,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,34]) ).
thf(920,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( B @ hollywood ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[919]) ).
thf(921,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk9 @ hollywood ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[920:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(945,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk9 @ hollywood ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[921]) ).
thf(639,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,106]) ).
thf(640,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[639]) ).
thf(641,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[640:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(670,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[641]) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ in ) ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(142,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ in ) ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[76]) ).
thf(534,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,115]) ).
thf(535,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[534]) ).
thf(536,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[535:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(566,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[536]) ).
thf(2711,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,99]) ).
thf(2712,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2711]) ).
thf(2713,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2712:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2740,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2713]) ).
thf(1762,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,113]) ).
thf(1763,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1762]) ).
thf(1764,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1763:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1867,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1764]) ).
thf(22303,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( C @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,158]) ).
thf(22304,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( C @ in ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22303]) ).
thf(22305,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ in ) ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22304:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22347,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ in ) ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22305]) ).
thf(499,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,106]) ).
thf(500,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[499]) ).
thf(501,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[500:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(524,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[501]) ).
thf(1838,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[524,113]) ).
thf(1839,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1838]) ).
thf(1840,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1839:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1872,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1840]) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ old ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(153,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ old ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[67]) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(126,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[53]) ).
thf(742,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk6 @ ( A @ way ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk27 ) ) ) @ way ) ) )
| ~ sk1
| ~ ( B @ ( D @ ( C @ ( E @ sk26 ) ) ) )
| ~ $true
| ( B @ ( D @ ( C @ ( E @ sk24 ) ) ) )
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[159,101]) ).
thf(743,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk6 @ ( A @ way ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk27 ) ) ) @ way ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk26 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk24 ) ) ) )
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[742]) ).
thf(744,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ ( sk6 @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[743:[bind(A,$thf( I @ ( H @ ( G @ ( sk6 @ sk27 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( H )),bind(D,$thf( G )),bind(E,$thf( sk6 ))]]) ).
thf(772,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ ( sk6 @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[744]) ).
thf(10679,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk6 @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk6 @ sk26 ) ) ) )
| ( G @ ( E @ ( F @ ( sk6 @ sk24 ) ) ) )
| ( G @ ( E @ ( F @ sk22 ) ) )
| ( G @ ( F @ ( E @ sk20 ) ) )
| ( G @ ( F @ ( E @ sk18 ) ) )
| ( G @ ( F @ ( E @ sk16 ) ) )
| ( G @ ( F @ ( E @ sk14 ) ) )
| ( G @ ( F @ sk12 ) )
| ( G @ sk10 )
| ( G @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,772]) ).
thf(10680,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk6 @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk6 @ sk26 ) ) ) )
| ( G @ ( E @ ( F @ ( sk6 @ sk24 ) ) ) )
| ( G @ ( E @ ( F @ sk22 ) ) )
| ( G @ ( F @ ( E @ sk20 ) ) )
| ( G @ ( F @ ( E @ sk18 ) ) )
| ( G @ ( F @ ( E @ sk16 ) ) )
| ( G @ ( F @ ( E @ sk14 ) ) )
| ( G @ ( F @ sk12 ) )
| ( G @ sk10 )
| ( G @ sk8 )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[10679]) ).
thf(10681,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[10680:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk6 )),bind(E,$thf( C )),bind(F,$thf( B )),bind(G,$thf( A ))]]) ).
thf(10737,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[10681]) ).
thf(1166,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,148]) ).
thf(1167,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1166]) ).
thf(1168,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1167:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1196,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1168]) ).
thf(18603,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1559]) ).
thf(18604,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ dirty ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[18603]) ).
thf(18605,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[18604:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(18712,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[18605]) ).
thf(3052,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,167]) ).
thf(3053,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ street ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3052]) ).
thf(3054,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3053:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3087,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3054]) ).
thf(22720,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ street ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3087]) ).
thf(22721,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ street ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22720]) ).
thf(22722,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ street ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22721:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22755,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ street ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22722]) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(132,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[32]) ).
thf(3559,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,110]) ).
thf(3560,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3559]) ).
thf(3561,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3560:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3629,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3561]) ).
thf(3199,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,148]) ).
thf(3200,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3199]) ).
thf(3201,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3200:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3249,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3201]) ).
thf(693,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ dirty ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,129]) ).
thf(694,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ dirty ) )
| sk1 ),
inference(simp,[status(thm)],[693]) ).
thf(706,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk38 @ ( A @ dirty ) )
| sk1 ),
inference(simp,[status(thm)],[694]) ).
thf(709,plain,
( ( sk35 != sk34 )
| ( sk38 @ ( sk35 @ dirty ) )
| sk1 ),
inference(simp,[status(thm)],[706]) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(93,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[84]) ).
thf(395,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,103]) ).
thf(396,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[395]) ).
thf(397,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ way ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[396:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(417,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ way ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[397]) ).
thf(1922,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,119]) ).
thf(1923,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1922]) ).
thf(1924,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1923:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(1935,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1924]) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(139,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[54]) ).
thf(4108,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,175]) ).
thf(4109,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ city ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4108]) ).
thf(4110,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk15 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4109:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4137,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk15 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4110]) ).
thf(275,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,98]) ).
thf(276,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[275]) ).
thf(277,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[276:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(296,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[277]) ).
thf(545,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,115]) ).
thf(546,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[545]) ).
thf(547,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[546:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(565,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[547]) ).
thf(2440,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ white ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,115]) ).
thf(2441,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ white ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2440]) ).
thf(2442,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ white ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2441:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2516,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ white ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2442]) ).
thf(2769,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,129]) ).
thf(2770,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2769]) ).
thf(2771,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ dirty ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2770:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2825,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ dirty ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2771]) ).
thf(1472,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,171]) ).
thf(1473,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1472]) ).
thf(1474,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1473:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1482,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1474]) ).
thf(4961,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,125]) ).
thf(4962,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4961]) ).
thf(4963,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4962:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5024,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4963]) ).
thf(1056,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,149]) ).
thf(1057,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1056]) ).
thf(1058,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1057:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(1095,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1058]) ).
thf(3340,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,94]) ).
thf(3341,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ white ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3340]) ).
thf(3342,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3341:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3350,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3342]) ).
thf(989,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,148]) ).
thf(990,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[989]) ).
thf(991,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[990:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(1001,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[991]) ).
thf(4092,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,159]) ).
thf(4093,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ way ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4092]) ).
thf(4094,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk15 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4093:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4142,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk15 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4094]) ).
thf(38,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ sk44 ) )
| ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ sk44 ) )
| ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[38]) ).
thf(2931,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( C @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,98]) ).
thf(2932,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( C @ hollywood ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2931]) ).
thf(2933,plain,
! [B: $i,A: $i] :
( ( sk36 @ ( B @ ( A @ sk45 ) @ hollywood ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2932:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2972,plain,
! [B: $i,A: $i] :
( ( sk36 @ ( B @ ( A @ sk45 ) @ hollywood ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2933]) ).
thf(3601,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,127]) ).
thf(3602,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ old ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3601]) ).
thf(3603,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3602:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3634,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3603]) ).
thf(1233,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( A @ down ) ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,107]) ).
thf(1234,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( A @ down ) ) )
| ~ sk1 ),
inference(simp,[status(thm)],[1233]) ).
thf(1240,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( sk5 @ ( A @ down ) ) ) ),
inference(simp,[status(thm)],[1234]) ).
thf(1243,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( sk5 @ ( sk3 @ down ) ) ) ),
inference(simp,[status(thm)],[1240]) ).
thf(7,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ lonely ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(143,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ lonely ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[7]) ).
thf(11029,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ lonely ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[1675,143]) ).
thf(11030,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ lonely ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[11029]) ).
thf(11031,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[11030:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( A ))]]) ).
thf(11078,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[11031]) ).
thf(11124,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
!= ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) ) )
| ~ sk1
| ~ $true
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk27 ) ) ) @ way ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[11078,101]) ).
thf(11125,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
!= ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) ) )
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk27 ) ) ) @ way ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[11124]) ).
thf(11126,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[11125:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( A ))]]) ).
thf(11406,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[11126]) ).
thf(20,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ street ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(108,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ street ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20]) ).
thf(11625,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
!= ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) ) )
| ~ sk1
| ~ $true
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk25 ) ) ) @ street ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[11406,108]) ).
thf(11626,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
!= ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) ) )
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk25 ) ) ) @ street ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[11625]) ).
thf(11627,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk25 ) ) ) @ street ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[11626:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( A ))]]) ).
thf(11834,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk25 ) ) ) @ street ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[11627]) ).
thf(880,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,144]) ).
thf(881,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[880]) ).
thf(882,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[881:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(885,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[882]) ).
thf(3023,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( E @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,116]) ).
thf(3024,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( E @ event ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3023]) ).
thf(3025,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3024:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3088,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3025]) ).
thf(679,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,129]) ).
thf(680,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[679]) ).
thf(681,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[680:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(712,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[681]) ).
thf(3701,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,106]) ).
thf(3702,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3701]) ).
thf(3703,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3702:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3777,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3703]) ).
thf(6565,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,158]) ).
thf(6566,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6565]) ).
thf(6567,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6566:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6583,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6567]) ).
thf(1610,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[112,109]) ).
thf(1611,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1610]) ).
thf(1612,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1611:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D ))]]) ).
thf(1613,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1612]) ).
thf(2783,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,144]) ).
thf(2784,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2783]) ).
thf(2785,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ event ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2784:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2819,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ event ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2785]) ).
thf(454,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,106]) ).
thf(455,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[454]) ).
thf(456,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[455:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(471,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[456]) ).
thf(1790,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[471,113]) ).
thf(1791,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1790]) ).
thf(1792,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1791:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1854,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1792]) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ dirty ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(136,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ dirty ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27]) ).
thf(3801,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ dirty ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk59 ) ) ) @ dirty ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk58 ) ) ) )
| ~ $true
| ( B @ ( D @ ( C @ ( E @ sk56 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[129,136]) ).
thf(3802,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ dirty ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk59 ) ) ) @ dirty ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk58 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk56 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[3801]) ).
thf(3803,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[3802:[bind(A,$thf( I @ ( H @ ( G @ ( sk38 @ sk59 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( H )),bind(D,$thf( G )),bind(E,$thf( sk38 ))]]) ).
thf(3829,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[3803]) ).
thf(10854,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk58 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk56 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,3829]) ).
thf(10855,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk58 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk56 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[10854]) ).
thf(10856,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( C @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[10855:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk38 )),bind(E,$thf( C )),bind(F,$thf( B )),bind(G,$thf( A ))]]) ).
thf(10903,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[10856]) ).
thf(25357,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
!= ( E @ ( G @ ( F @ ( sk38 @ sk58 ) ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( sk38 @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1854,10903]) ).
thf(25358,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
!= ( E @ ( G @ ( F @ ( sk38 @ sk58 ) ) ) ) )
| ( E @ ( G @ ( F @ ( sk38 @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[25357]) ).
thf(25359,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[25358:[bind(A,$thf( sk38 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B ))]]) ).
thf(25497,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[25359]) ).
thf(25622,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
!= ( F @ ( D @ ( E @ ( sk38 @ sk56 ) ) ) ) )
| ~ $true
| ( F @ ( D @ ( E @ ( sk38 @ sk54 ) ) ) )
| ( F @ ( D @ ( E @ ( sk38 @ sk52 ) ) ) )
| ( F @ ( D @ ( E @ sk50 ) ) )
| ( F @ ( E @ ( D @ sk48 ) ) )
| ( F @ ( E @ ( D @ sk46 ) ) )
| ( F @ ( E @ sk44 ) )
| ( F @ sk42 )
| ( F @ sk40 )
| sk1
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[25497,10166]) ).
thf(25623,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
!= ( F @ ( D @ ( E @ ( sk38 @ sk56 ) ) ) ) )
| ( F @ ( D @ ( E @ ( sk38 @ sk54 ) ) ) )
| ( F @ ( D @ ( E @ ( sk38 @ sk52 ) ) ) )
| ( F @ ( D @ ( E @ sk50 ) ) )
| ( F @ ( E @ ( D @ sk48 ) ) )
| ( F @ ( E @ ( D @ sk46 ) ) )
| ( F @ ( E @ sk44 ) )
| ( F @ sk42 )
| ( F @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[25622]) ).
thf(25624,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[25623:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( B )),bind(F,$thf( C ))]]) ).
thf(25784,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[25624]) ).
thf(85,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ car ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(117,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ~ ( D @ ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ car ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[85]) ).
thf(2261,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ car ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk55 ) ) ) @ car ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ~ $true
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[148,117]) ).
thf(2262,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ car ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk55 ) ) ) @ car ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[2261]) ).
thf(2263,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[2262:[bind(A,$thf( I @ ( H @ ( G @ ( sk38 @ sk55 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( H )),bind(D,$thf( G )),bind(E,$thf( sk38 ))]]) ).
thf(2281,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[2263]) ).
thf(9438,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,2281]) ).
thf(9439,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[9438]) ).
thf(9440,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[9439:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk38 )),bind(E,$thf( C )),bind(F,$thf( B )),bind(G,$thf( A ))]]) ).
thf(9468,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[9440]) ).
thf(26530,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
!= ( D @ ( F @ ( E @ ( sk38 @ sk54 ) ) ) ) )
| ~ $true
| ( D @ ( F @ ( E @ ( sk38 @ sk52 ) ) ) )
| ( D @ ( F @ ( E @ sk50 ) ) )
| ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[25784,9468]) ).
thf(26531,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
!= ( D @ ( F @ ( E @ ( sk38 @ sk54 ) ) ) ) )
| ( D @ ( F @ ( E @ ( sk38 @ sk52 ) ) ) )
| ( D @ ( F @ ( E @ sk50 ) ) )
| ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[26530]) ).
thf(26532,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[26531:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( A ))]]) ).
thf(26638,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[26532]) ).
thf(2635,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ chevy ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk53 ) ) ) @ chevy ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ~ $true
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[149,120]) ).
thf(2636,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ chevy ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk53 ) ) ) @ chevy ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[2635]) ).
thf(2637,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[2636:[bind(A,$thf( I @ ( H @ ( G @ ( sk38 @ sk53 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( H )),bind(D,$thf( G )),bind(E,$thf( sk38 ))]]) ).
thf(2646,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[2637]) ).
thf(8787,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,2646]) ).
thf(8788,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[8787]) ).
thf(8789,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[8788:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk38 )),bind(E,$thf( C )),bind(F,$thf( B )),bind(G,$thf( A ))]]) ).
thf(8842,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[8789]) ).
thf(27205,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
!= ( D @ ( F @ ( E @ ( sk38 @ sk52 ) ) ) ) )
| ~ $true
| ( D @ ( F @ ( E @ sk50 ) ) )
| ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[26638,8842]) ).
thf(27206,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
!= ( D @ ( F @ ( E @ ( sk38 @ sk52 ) ) ) ) )
| ( D @ ( F @ ( E @ sk50 ) ) )
| ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27205]) ).
thf(27207,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27206:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( A ))]]) ).
thf(27322,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27207]) ).
thf(27416,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,98]) ).
thf(27417,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27416]) ).
thf(27418,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27417:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27471,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27418]) ).
thf(28569,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(eqfactor_ordered,[status(thm)],[27471]) ).
thf(28570,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[28569]) ).
thf(22313,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( C @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,151]) ).
thf(22314,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( C @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22313]) ).
thf(22315,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22314:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22352,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22315]) ).
thf(322,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,98]) ).
thf(323,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[322]) ).
thf(324,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[323:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(335,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[324]) ).
thf(388,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
!= ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(eqfactor_ordered,[status(thm)],[335]) ).
thf(389,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
!= ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[388]) ).
thf(1019,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,137]) ).
thf(1020,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ chevy ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1019]) ).
thf(1021,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1020:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1055,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1021]) ).
thf(79,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( A @ lonely ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(97,plain,
! [A: '$world'] :
( ~ sk1
| ( sk6 @ ( A @ lonely ) )
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[79]) ).
thf(1518,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,97]) ).
thf(1519,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ lonely ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1518]) ).
thf(1520,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1519:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1566,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1520]) ).
thf(20556,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ lonely ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ lonely ) ) )
| ~ sk1
| ~ ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[1566,143]) ).
thf(20557,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ lonely ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ lonely ) ) )
| ~ ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[20556]) ).
thf(20558,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( sk6 @ ( A @ ( B @ sk28 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( sk6 @ ( A @ ( B @ sk28 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20557:[bind(A,$thf( sk6 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk6 ))]]) ).
thf(20594,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( C @ ( sk6 @ ( A @ ( B @ sk28 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[20558]) ).
thf(22316,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( C @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,107]) ).
thf(22317,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( C @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22316]) ).
thf(22318,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22317:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22353,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22318]) ).
thf(2697,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,98]) ).
thf(2698,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2697]) ).
thf(2699,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2698:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2735,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2699]) ).
thf(4646,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,148]) ).
thf(4647,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4646]) ).
thf(4648,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ car ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4647:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4692,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ car ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4648]) ).
thf(1772,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,113]) ).
thf(1773,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1772]) ).
thf(1774,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1773:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1871,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1774]) ).
thf(700,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ dirty ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,129]) ).
thf(701,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ dirty ) )
| sk1 ),
inference(simp,[status(thm)],[700]) ).
thf(702,plain,
( ( sk38 @ ( sk35 @ sk66 @ dirty ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[701:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(4063,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,110]) ).
thf(4064,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4063]) ).
thf(4065,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4064:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4130,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4065]) ).
thf(3055,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,123]) ).
thf(3056,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ car ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3055]) ).
thf(3057,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3056:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3089,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3057]) ).
thf(3282,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( E @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,116]) ).
thf(3283,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( E @ event ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3282]) ).
thf(3284,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3283:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3353,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3284]) ).
thf(1130,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ street ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,167]) ).
thf(1131,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ street ) ) ),
inference(simp,[status(thm)],[1130]) ).
thf(1132,plain,
( ~ sk1
| ( sk6 @ ( sk3 @ sk66 @ street ) ) ),
inference(pattern_uni,[status(thm)],[1131:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(1250,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,171]) ).
thf(1251,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1250]) ).
thf(1252,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ old ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1251:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(1287,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ old ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1252]) ).
thf(1328,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ city ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,175]) ).
thf(1329,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ city ) ) ),
inference(simp,[status(thm)],[1328]) ).
thf(1330,plain,
( ~ sk1
| ( sk4 @ ( sk3 @ sk66 @ city ) ) ),
inference(pattern_uni,[status(thm)],[1329:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(1810,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[335,113]) ).
thf(1811,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1810]) ).
thf(1812,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1811:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1860,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1812]) ).
thf(21251,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ white ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1569]) ).
thf(21252,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ white ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21251]) ).
thf(21253,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ white ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[21252:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(21339,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ white ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21253]) ).
thf(3388,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( C @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,116]) ).
thf(3389,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( C @ event ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3388]) ).
thf(3390,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( B @ ( A @ sk13 ) @ event ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3389:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3463,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( B @ ( A @ sk13 ) @ event ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3390]) ).
thf(3579,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,34]) ).
thf(3580,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3579]) ).
thf(3581,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk17 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3580:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3638,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk17 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3581]) ).
thf(27354,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,170]) ).
thf(27355,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27354]) ).
thf(27356,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ down ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27355:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27472,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ down ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27356]) ).
thf(1423,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,115]) ).
thf(1424,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1423]) ).
thf(1425,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1424:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1479,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1425]) ).
thf(751,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ way ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,159]) ).
thf(752,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ way ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[751]) ).
thf(753,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ way ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[752:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(770,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ way ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[753]) ).
thf(6189,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,127]) ).
thf(6190,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ old ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6189]) ).
thf(6191,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6190:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6221,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6191]) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk23 ) ) @ old ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(168,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk23 ) ) @ old ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[51]) ).
thf(9237,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ old ) )
!= ( F @ ( D @ ( E @ ( F @ sk23 ) ) @ old ) ) )
| ~ sk1
| ~ ( D @ ( F @ ( E @ sk22 ) ) )
| ~ $true
| ( D @ ( E @ ( F @ sk20 ) ) )
| ( D @ ( E @ ( F @ sk18 ) ) )
| ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[6221,168]) ).
thf(9238,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ old ) )
!= ( F @ ( D @ ( E @ ( F @ sk23 ) ) @ old ) ) )
| ~ ( D @ ( F @ ( E @ sk22 ) ) )
| ( D @ ( E @ ( F @ sk20 ) ) )
| ( D @ ( E @ ( F @ sk18 ) ) )
| ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[9237]) ).
thf(9239,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk7 @ ( A @ sk22 ) ) )
| ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( sk7 @ ( A @ sk22 ) ) )
| ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[9238:[bind(A,$thf( sk7 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk7 ))]]) ).
thf(9240,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( B @ ( sk7 @ ( A @ sk22 ) ) )
| ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[9239]) ).
thf(314,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ dirty ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,110]) ).
thf(315,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ dirty ) ) ),
inference(simp,[status(thm)],[314]) ).
thf(316,plain,
( ~ sk1
| ( sk7 @ ( sk3 @ sk66 @ dirty ) ) ),
inference(pattern_uni,[status(thm)],[315:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk15 ) ) @ chevy ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(165,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk15 ) ) @ chevy ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[82]) ).
thf(3665,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ chevy ) )
!= ( D @ ( B @ ( C @ ( D @ sk15 ) ) @ chevy ) ) )
| ~ sk1
| ~ ( B @ ( C @ ( D @ sk14 ) ) )
| ~ $true
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[137,165]) ).
thf(3666,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ chevy ) )
!= ( D @ ( B @ ( C @ ( D @ sk15 ) ) @ chevy ) ) )
| ~ ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[3665]) ).
thf(3667,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[3666:[bind(A,$thf( G @ ( F @ ( sk7 @ sk15 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk7 ))]]) ).
thf(3687,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[3667]) ).
thf(4366,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,3687]) ).
thf(4367,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4366]) ).
thf(4368,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4367:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk7 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(4390,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4368]) ).
thf(22240,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ street ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3087]) ).
thf(22241,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ street ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22240]) ).
thf(22242,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ street ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22241:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22348,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ street ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22242]) ).
thf(2777,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,148]) ).
thf(2778,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2777]) ).
thf(2779,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ car ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2778:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2829,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ car ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2779]) ).
thf(4443,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,98]) ).
thf(4444,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4443]) ).
thf(4445,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4444:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4492,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4445]) ).
thf(588,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,125]) ).
thf(589,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[588]) ).
thf(590,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[589:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(606,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[590]) ).
thf(1497,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,123]) ).
thf(1498,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ car ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1497]) ).
thf(1499,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1498:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1572,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1499]) ).
thf(3045,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,159]) ).
thf(3046,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ way ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3045]) ).
thf(3047,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3046:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3084,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3047]) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(152,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[50]) ).
thf(2481,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ way ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,103]) ).
thf(2482,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ way ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2481]) ).
thf(2483,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk43 @ way ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2482:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2520,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk43 @ way ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2483]) ).
thf(4123,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,107]) ).
thf(4124,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4123]) ).
thf(4125,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4124:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4141,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4125]) ).
thf(22225,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( C @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,116]) ).
thf(22226,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( C @ event ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22225]) ).
thf(22227,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ event ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22226:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22338,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ event ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22227]) ).
thf(1784,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,113]) ).
thf(1785,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1784]) ).
thf(1786,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1785:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D ))]]) ).
thf(1875,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1786]) ).
thf(1079,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,149]) ).
thf(1080,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ chevy ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1079]) ).
thf(1081,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ chevy ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1080:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(1100,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ chevy ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1081]) ).
thf(259,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ lonely ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,97]) ).
thf(260,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ lonely ) ) ),
inference(simp,[status(thm)],[259]) ).
thf(261,plain,
( ~ sk1
| ( sk6 @ ( sk3 @ sk66 @ lonely ) ) ),
inference(pattern_uni,[status(thm)],[260:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(6557,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,127]) ).
thf(6558,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ old ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6557]) ).
thf(6559,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6558:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6594,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6559]) ).
thf(3957,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,149]) ).
thf(3958,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3957]) ).
thf(3959,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3958:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4008,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3959]) ).
thf(3180,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,106]) ).
thf(3181,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3180]) ).
thf(3182,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3181:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3258,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3182]) ).
thf(3036,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,34]) ).
thf(3037,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ hollywood ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3036]) ).
thf(3038,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3037:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3095,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3038]) ).
thf(22740,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ hollywood ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3095]) ).
thf(22741,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ hollywood ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22740]) ).
thf(22742,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ hollywood ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22741:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22767,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ hollywood ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22742]) ).
thf(22324,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) ) )
| ~ sk1
| ~ $true
| ( C @ ( D @ ( E @ ( F @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,126]) ).
thf(22325,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) ) )
| ( C @ ( D @ ( E @ ( F @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22324]) ).
thf(22326,plain,
! [B: $i,A: $i] :
( ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22325:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( B ))]]) ).
thf(22357,plain,
! [B: $i,A: $i] :
( ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22326]) ).
thf(4898,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,94]) ).
thf(4899,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ white ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4898]) ).
thf(4900,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4899:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4903,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4900]) ).
thf(4973,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,129]) ).
thf(4974,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4973]) ).
thf(4975,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4974:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5027,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4975]) ).
thf(13276,plain,
! [B: $i,A: $i] :
( ( ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk25 ) ) ) @ street ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,11834]) ).
thf(13277,plain,
! [B: $i,A: $i] :
( ( ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk25 ) ) ) @ street ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1 ),
inference(simp,[status(thm)],[13276]) ).
thf(13382,plain,
! [B: $i,A: $i] :
( ( ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) )
!= sk3 )
| ( sk3 != sk2 )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk25 ) ) ) @ street ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[13277]) ).
thf(3971,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,103]) ).
thf(3972,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3971]) ).
thf(3973,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3972:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4001,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3973]) ).
thf(3426,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,127]) ).
thf(3427,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ old ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3426]) ).
thf(3428,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ old ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3427:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3453,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ old ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3428]) ).
thf(1298,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,175]) ).
thf(1299,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ city ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1298]) ).
thf(1300,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1299:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1334,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1300]) ).
thf(1011,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,110]) ).
thf(1012,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ dirty ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1011]) ).
thf(1013,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1012:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1051,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1013]) ).
thf(44,plain,
! [A: '$world'] :
( ( sk36 @ ( sk37 @ ( A @ in ) ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(134,plain,
! [A: '$world'] :
( ( sk36 @ ( sk37 @ ( A @ in ) ) )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[44]) ).
thf(1988,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( A @ in ) ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,134]) ).
thf(1989,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( A @ in ) ) )
| sk1 ),
inference(simp,[status(thm)],[1988]) ).
thf(2007,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk36 @ ( sk37 @ ( A @ in ) ) )
| sk1 ),
inference(simp,[status(thm)],[1989]) ).
thf(2017,plain,
( ( sk35 != sk34 )
| ( sk36 @ ( sk37 @ ( sk35 @ in ) ) )
| sk1 ),
inference(simp,[status(thm)],[2007]) ).
thf(1469,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,99]) ).
thf(1470,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1469]) ).
thf(1471,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1470:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1489,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1471]) ).
thf(4652,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,144]) ).
thf(4653,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4652]) ).
thf(4654,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ event ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4653:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4696,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ event ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4654]) ).
thf(2548,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( B @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,116]) ).
thf(2549,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( B @ event ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2548]) ).
thf(2550,plain,
! [A: $i] :
( ( sk5 @ ( A @ sk11 @ event ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2549:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2616,plain,
! [A: $i] :
( ( sk5 @ ( A @ sk11 @ event ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2550]) ).
thf(1916,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( B @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,119]) ).
thf(1917,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( B @ barrel ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1916]) ).
thf(1918,plain,
! [A: $i] :
( ( sk38 @ ( sk37 @ ( A @ sk41 @ barrel ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1917:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(1946,plain,
! [A: $i] :
( ( sk38 @ ( sk37 @ ( A @ sk41 @ barrel ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1918]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ~ ( B @ ( A @ ( B @ sk13 ) @ event ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(164,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ~ ( B @ ( A @ ( B @ sk13 ) @ event ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[58]) ).
thf(22702,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ event ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3088]) ).
thf(22703,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ event ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22702]) ).
thf(22704,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ event ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22703:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22762,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ event ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22704]) ).
thf(1105,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,167]) ).
thf(1106,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ street ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1105]) ).
thf(1107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1106:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1136,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1107]) ).
thf(1804,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,149]) ).
thf(1805,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1804]) ).
thf(1806,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1805:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1858,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1806]) ).
thf(1756,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[523,113]) ).
thf(1757,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1756]) ).
thf(1758,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1757:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1864,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1758]) ).
thf(5014,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,119]) ).
thf(5015,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5014]) ).
thf(5016,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5015:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5032,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5016]) ).
thf(4073,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,137]) ).
thf(4074,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4073]) ).
thf(4075,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4074:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4134,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4075]) ).
thf(3288,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,97]) ).
thf(3289,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ lonely ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3288]) ).
thf(3290,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3289:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3357,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3290]) ).
thf(6578,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,94]) ).
thf(6579,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ white ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6578]) ).
thf(6580,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6579:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6588,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6580]) ).
thf(7576,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ white ) )
!= ( F @ ( D @ ( E @ ( F @ sk19 ) ) @ white ) ) )
| ~ sk1
| ~ ( D @ ( E @ ( F @ sk18 ) ) )
| ~ $true
| ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[6588,138]) ).
thf(7577,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ white ) )
!= ( F @ ( D @ ( E @ ( F @ sk19 ) ) @ white ) ) )
| ~ ( D @ ( E @ ( F @ sk18 ) ) )
| ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[7576]) ).
thf(7578,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[7577:[bind(A,$thf( sk7 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk7 ))]]) ).
thf(7581,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[7578]) ).
thf(3061,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,175]) ).
thf(3062,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ city ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3061]) ).
thf(3063,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3062:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3093,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3063]) ).
thf(2551,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,137]) ).
thf(2552,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ chevy ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2551]) ).
thf(2553,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ chevy ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2552:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2618,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ chevy ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2553]) ).
thf(291,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ hollywood ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,98]) ).
thf(292,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ hollywood ) )
| sk1 ),
inference(simp,[status(thm)],[291]) ).
thf(293,plain,
( ( sk36 @ ( sk35 @ sk66 @ hollywood ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[292:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(2492,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,99]) ).
thf(2493,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ lonely ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2492]) ).
thf(2494,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk43 @ lonely ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2493:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2523,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk43 @ lonely ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2494]) ).
thf(970,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,148]) ).
thf(971,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[970]) ).
thf(972,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[971:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(998,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[972]) ).
thf(986,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ car ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,148]) ).
thf(987,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ car ) )
| sk1 ),
inference(simp,[status(thm)],[986]) ).
thf(988,plain,
( ( sk38 @ ( sk35 @ sk66 @ car ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[987:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(4629,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,106]) ).
thf(4630,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4629]) ).
thf(4631,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ street ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4630:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4701,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ street ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4631]) ).
thf(2950,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,171]) ).
thf(2951,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ old ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2950]) ).
thf(2952,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ old ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2951:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2965,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ old ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2952]) ).
thf(203,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(eqfactor_ordered,[status(thm)],[169]) ).
thf(205,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) )
!= ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) ) )
| ( sk35 != sk35 )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[203]) ).
thf(206,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) )
!= ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[205]) ).
thf(596,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,125]) ).
thf(597,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[596]) ).
thf(598,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[597:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(602,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[598]) ).
thf(764,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ way ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,159]) ).
thf(765,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ way ) ) ),
inference(simp,[status(thm)],[764]) ).
thf(766,plain,
( ~ sk1
| ( sk6 @ ( sk3 @ sk66 @ way ) ) ),
inference(pattern_uni,[status(thm)],[765:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(2915,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( C @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,134]) ).
thf(2916,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( C @ in ) ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2915]) ).
thf(2917,plain,
! [B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( B @ ( A @ sk45 ) @ in ) ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2916:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2964,plain,
! [B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( B @ ( A @ sk45 ) @ in ) ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2917]) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ in ) ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(147,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ in ) ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[80]) ).
thf(6522,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( D @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,116]) ).
thf(6523,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( D @ event ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6522]) ).
thf(6524,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6523:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6591,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6524]) ).
thf(2056,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( B @ in ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,158]) ).
thf(2057,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( B @ in ) ) ) ),
inference(simp,[status(thm)],[2056]) ).
thf(2058,plain,
( ~ sk1
| ( sk4 @ ( sk5 @ ( sk3 @ sk66 @ in ) ) ) ),
inference(pattern_uni,[status(thm)],[2057:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(5237,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,115]) ).
thf(5238,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5237]) ).
thf(5239,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5238:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5321,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5239]) ).
thf(27441,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,171]) ).
thf(27442,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27441]) ).
thf(27443,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ old ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27442:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27468,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ old ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27443]) ).
thf(1881,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,119]) ).
thf(1882,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1881]) ).
thf(1883,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1882:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1943,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1883]) ).
thf(1142,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,106]) ).
thf(1143,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1142]) ).
thf(1144,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1143:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1201,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1144]) ).
thf(1218,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( B @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,107]) ).
thf(1219,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( B @ down ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1218]) ).
thf(1220,plain,
! [A: $i] :
( ( sk6 @ ( sk5 @ ( A @ sk9 @ down ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1219:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(1242,plain,
! [A: $i] :
( ( sk6 @ ( sk5 @ ( A @ sk9 @ down ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1220]) ).
thf(810,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ white ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,115]) ).
thf(811,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ white ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[810]) ).
thf(812,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ white ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[811:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(849,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ white ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[812]) ).
thf(22231,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,137]) ).
thf(22232,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22231]) ).
thf(22233,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22232:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22342,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22233]) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk17 ) ) @ car ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(154,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk17 ) ) @ car ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[16]) ).
thf(5767,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ car ) )
!= ( D @ ( B @ ( C @ ( D @ sk17 ) ) @ car ) ) )
| ~ sk1
| ~ ( B @ ( C @ ( D @ sk16 ) ) )
| ~ $true
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[123,154]) ).
thf(5768,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ car ) )
!= ( D @ ( B @ ( C @ ( D @ sk17 ) ) @ car ) ) )
| ~ ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[5767]) ).
thf(5769,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[5768:[bind(A,$thf( G @ ( F @ ( sk7 @ sk17 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk7 ))]]) ).
thf(5791,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[5769]) ).
thf(6020,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,5791]) ).
thf(6021,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6020]) ).
thf(6022,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6021:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk7 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(6103,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6022]) ).
thf(4432,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,149]) ).
thf(4433,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4432]) ).
thf(4434,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4433:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4483,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4434]) ).
thf(1545,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,175]) ).
thf(1546,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ city ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1545]) ).
thf(1547,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1546:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1564,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1547]) ).
thf(1818,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,103]) ).
thf(1819,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1818]) ).
thf(1820,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1819:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1863,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1820]) ).
thf(1993,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( B @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,134]) ).
thf(1994,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( B @ in ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1993]) ).
thf(1995,plain,
! [A: $i] :
( ( sk36 @ ( sk37 @ ( A @ sk41 @ in ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1994:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(2011,plain,
! [A: $i] :
( ( sk36 @ ( sk37 @ ( A @ sk41 @ in ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1995]) ).
thf(11116,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ way ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk27 ) ) ) @ way ) ) )
| ~ sk1
| ~ ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[3084,101]) ).
thf(11117,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ way ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk27 ) ) ) @ way ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[11116]) ).
thf(11118,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[11117:[bind(A,$thf( sk6 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk6 ))]]) ).
thf(11121,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( C @ ( A @ ( B @ ( sk6 @ sk26 ) ) ) )
| ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[11118]) ).
thf(931,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,127]) ).
thf(932,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ old ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[931]) ).
thf(933,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ old ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[932:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(942,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ old ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[933]) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk21 ) ) @ dirty ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(118,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk21 ) ) @ dirty ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[70]) ).
thf(8238,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ dirty ) )
!= ( F @ ( D @ ( E @ ( F @ sk21 ) ) @ dirty ) ) )
| ~ sk1
| ~ ( D @ ( E @ ( F @ sk20 ) ) )
| ~ $true
| ( D @ ( E @ ( F @ sk18 ) ) )
| ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[4904,118]) ).
thf(8239,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ dirty ) )
!= ( F @ ( D @ ( E @ ( F @ sk21 ) ) @ dirty ) ) )
| ~ ( D @ ( E @ ( F @ sk20 ) ) )
| ( D @ ( E @ ( F @ sk18 ) ) )
| ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[8238]) ).
thf(8240,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[8239:[bind(A,$thf( sk7 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk7 ))]]) ).
thf(8243,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[8240]) ).
thf(4459,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,99]) ).
thf(4460,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4459]) ).
thf(4461,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4460:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4480,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4461]) ).
thf(4953,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,170]) ).
thf(4954,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4953]) ).
thf(4955,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4954:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5034,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4955]) ).
thf(2700,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,103]) ).
thf(2701,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2700]) ).
thf(2702,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2701:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2737,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2702]) ).
thf(3748,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,99]) ).
thf(3749,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3748]) ).
thf(3750,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3749:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3767,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3750]) ).
thf(2586,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,175]) ).
thf(2587,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( B @ city ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2586]) ).
thf(2588,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk11 @ city ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2587:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2621,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk11 @ city ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2588]) ).
thf(1006,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,123]) ).
thf(1007,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ car ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1006]) ).
thf(1008,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1007:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1047,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1008]) ).
thf(27357,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,115]) ).
thf(27358,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27357]) ).
thf(27359,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ white ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27358:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27474,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ white ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27359]) ).
thf(4660,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,103]) ).
thf(4661,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4660]) ).
thf(4662,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ way ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4661:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4700,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ way ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4662]) ).
thf(1542,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,127]) ).
thf(1543,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ old ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1542]) ).
thf(1544,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1543:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1562,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1544]) ).
thf(19784,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ old ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1562]) ).
thf(19785,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ old ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[19784]) ).
thf(19786,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ old ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[19785:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(19877,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ old ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[19786]) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk51 ) ) @ lonely ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(163,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk51 ) ) @ lonely ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[75]) ).
thf(6308,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk39 @ ( A @ lonely ) )
!= ( D @ ( B @ ( C @ ( D @ sk51 ) ) @ lonely ) ) )
| ~ ( B @ ( D @ ( C @ sk50 ) ) )
| ~ $true
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[99,163]) ).
thf(6309,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk39 @ ( A @ lonely ) )
!= ( D @ ( B @ ( C @ ( D @ sk51 ) ) @ lonely ) ) )
| ~ ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[6308]) ).
thf(6310,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk39 @ ( A @ sk50 ) ) )
| ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( A @ ( sk39 @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[6309:[bind(A,$thf( G @ ( F @ ( sk39 @ sk51 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk39 ))]]) ).
thf(6340,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk39 @ ( A @ sk50 ) ) )
| ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( A @ ( sk39 @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[6310]) ).
thf(7027,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk39 @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( E @ ( sk39 @ ( D @ sk50 ) ) )
| ( E @ ( D @ ( sk39 @ sk48 ) ) )
| ( E @ ( D @ ( sk39 @ sk46 ) ) )
| ( E @ ( D @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,6340]) ).
thf(7028,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk39 @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( E @ ( sk39 @ ( D @ sk50 ) ) )
| ( E @ ( D @ ( sk39 @ sk48 ) ) )
| ( E @ ( D @ ( sk39 @ sk46 ) ) )
| ( E @ ( D @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[7027]) ).
thf(7029,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( sk39 @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( sk39 @ sk48 ) ) )
| ( A @ ( B @ ( sk39 @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( sk39 @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( sk39 @ sk48 ) ) )
| ( A @ ( B @ ( sk39 @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[7028:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk39 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(7148,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( sk39 @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( sk39 @ sk48 ) ) )
| ( A @ ( B @ ( sk39 @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[7029]) ).
thf(3391,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,137]) ).
thf(3392,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3391]) ).
thf(3393,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ chevy ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3392:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3450,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ chevy ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3393]) ).
thf(3444,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( C @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,107]) ).
thf(3445,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( C @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3444]) ).
thf(3446,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( B @ ( A @ sk13 ) @ down ) ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3445:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3459,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( B @ ( A @ sk13 ) @ down ) ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3446]) ).
thf(1187,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,99]) ).
thf(1188,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1187]) ).
thf(1189,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1188:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1199,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1189]) ).
thf(3572,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,97]) ).
thf(3573,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3572]) ).
thf(3574,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk17 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3573:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3635,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk17 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3574]) ).
thf(4848,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,97]) ).
thf(4849,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4848]) ).
thf(4850,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk21 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4849:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4910,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk21 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4850]) ).
thf(20475,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1566]) ).
thf(20476,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ lonely ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20475]) ).
thf(20477,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20476:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(20624,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20477]) ).
thf(682,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,129]) ).
thf(683,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[682]) ).
thf(684,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ dirty ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[683:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(714,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ dirty ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[684]) ).
thf(400,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,103]) ).
thf(401,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[400]) ).
thf(402,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[401:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(414,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[402]) ).
thf(1828,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[414,113]) ).
thf(1829,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1828]) ).
thf(1830,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1829:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1868,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1830]) ).
thf(3216,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,103]) ).
thf(3217,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3216]) ).
thf(3218,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3217:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3261,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3218]) ).
thf(1664,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( B @ barrel ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,151]) ).
thf(1665,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( B @ barrel ) ) ) ),
inference(simp,[status(thm)],[1664]) ).
thf(1666,plain,
( ~ sk1
| ( sk7 @ ( sk5 @ ( sk3 @ sk66 @ barrel ) ) ) ),
inference(pattern_uni,[status(thm)],[1665:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(1418,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,106]) ).
thf(1419,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1418]) ).
thf(1420,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1419:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1487,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1420]) ).
thf(278,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk36 @ ( A @ hollywood ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,98]) ).
thf(279,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk36 @ ( A @ hollywood ) )
| sk1 ),
inference(simp,[status(thm)],[278]) ).
thf(294,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk36 @ ( A @ hollywood ) )
| sk1 ),
inference(simp,[status(thm)],[279]) ).
thf(297,plain,
( ( sk35 != sk34 )
| ( sk36 @ ( sk35 @ hollywood ) )
| sk1 ),
inference(simp,[status(thm)],[294]) ).
thf(2892,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( C @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,170]) ).
thf(2893,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( C @ down ) ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2892]) ).
thf(2894,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( B @ ( A @ sk45 ) @ down ) ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2893:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2969,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( B @ ( A @ sk45 ) @ down ) ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2894]) ).
thf(611,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ old ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,127]) ).
thf(612,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ old ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[611]) ).
thf(613,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ old ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[612:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(630,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ old ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[613]) ).
thf(3026,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,137]) ).
thf(3027,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ chevy ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3026]) ).
thf(3028,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3027:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3090,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3028]) ).
thf(22237,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ chevy ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3090]) ).
thf(22238,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ chevy ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22237]) ).
thf(22239,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ chevy ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22238:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22346,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ chevy ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22239]) ).
thf(3734,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,98]) ).
thf(3735,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3734]) ).
thf(3736,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3735:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3778,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3736]) ).
thf(1970,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,134]) ).
thf(1971,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1970]) ).
thf(1972,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1971:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(2015,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1972]) ).
thf(6560,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,175]) ).
thf(6561,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ city ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6560]) ).
thf(6562,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk19 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6561:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6582,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk19 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6562]) ).
thf(1539,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,167]) ).
thf(1540,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ street ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1539]) ).
thf(1541,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1540:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1560,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1541]) ).
thf(27377,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,106]) ).
thf(27378,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27377]) ).
thf(27379,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27378:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27467,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27379]) ).
thf(27862,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
!= ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(eqfactor_ordered,[status(thm)],[27467]) ).
thf(27865,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 != sk39 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27862]) ).
thf(27869,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27865]) ).
thf(4120,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,151]) ).
thf(4121,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4120]) ).
thf(4122,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4121:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4140,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4122]) ).
thf(28571,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 != sk36 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[28569]) ).
thf(28576,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ hollywood ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[28571]) ).
thf(3275,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,110]) ).
thf(3276,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ dirty ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3275]) ).
thf(3277,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3276:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3349,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3277]) ).
thf(2598,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( B @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,151]) ).
thf(2599,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( B @ barrel ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2598]) ).
thf(2600,plain,
! [A: $i] :
( ( sk7 @ ( sk5 @ ( A @ sk11 @ barrel ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2599:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2609,plain,
! [A: $i] :
( ( sk7 @ ( sk5 @ ( A @ sk11 @ barrel ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2600]) ).
thf(869,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( B @ event ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,144]) ).
thf(870,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( B @ event ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[869]) ).
thf(871,plain,
! [A: $i] :
( ( sk37 @ ( A @ sk41 @ event ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[870:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(889,plain,
! [A: $i] :
( ( sk37 @ ( A @ sk41 @ event ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[871]) ).
thf(491,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ car ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,123]) ).
thf(492,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ car ) ) ),
inference(simp,[status(thm)],[491]) ).
thf(493,plain,
( ~ sk1
| ( sk7 @ ( sk3 @ sk66 @ car ) ) ),
inference(pattern_uni,[status(thm)],[492:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(1150,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,115]) ).
thf(1151,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1150]) ).
thf(1152,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1151:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1195,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1152]) ).
thf(1532,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,159]) ).
thf(1533,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ way ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1532]) ).
thf(1534,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1533:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1573,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1534]) ).
thf(1930,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,119]) ).
thf(1931,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1930]) ).
thf(1932,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1931:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(1938,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1932]) ).
thf(227,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ white ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,94]) ).
thf(228,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ white ) ) ),
inference(simp,[status(thm)],[227]) ).
thf(229,plain,
( ~ sk1
| ( sk7 @ ( sk3 @ sk66 @ white ) ) ),
inference(pattern_uni,[status(thm)],[228:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(805,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,129]) ).
thf(806,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ dirty ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[805]) ).
thf(807,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ dirty ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[806:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(847,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ dirty ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[807]) ).
thf(877,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( B @ event ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,144]) ).
thf(878,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( B @ event ) )
| sk1 ),
inference(simp,[status(thm)],[877]) ).
thf(879,plain,
( ( sk37 @ ( sk35 @ sk66 @ event ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[878:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(2802,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,99]) ).
thf(2803,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2802]) ).
thf(2804,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ lonely ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2803:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2826,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ lonely ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2804]) ).
thf(2752,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,115]) ).
thf(2753,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2752]) ).
thf(2754,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ white ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2753:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2820,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ white ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2754]) ).
thf(1279,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ old ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,171]) ).
thf(1280,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ old ) )
| sk1 ),
inference(simp,[status(thm)],[1279]) ).
thf(1281,plain,
( ( sk38 @ ( sk35 @ sk66 @ old ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[1280:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(2683,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,148]) ).
thf(2684,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2683]) ).
thf(2685,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2684:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2741,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2685]) ).
thf(1253,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,171]) ).
thf(1254,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1253]) ).
thf(1255,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1254:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1291,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1255]) ).
thf(690,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,129]) ).
thf(691,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[690]) ).
thf(692,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[691:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(710,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[692]) ).
thf(6210,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,94]) ).
thf(6211,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ white ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6210]) ).
thf(6212,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6211:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6215,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6212]) ).
thf(1087,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ chevy ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,149]) ).
thf(1088,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ chevy ) )
| sk1 ),
inference(simp,[status(thm)],[1087]) ).
thf(1089,plain,
( ( sk38 @ ( sk35 @ sk66 @ chevy ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[1088:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(924,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,159]) ).
thf(925,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( B @ way ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[924]) ).
thf(926,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk9 @ way ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[925:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(948,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk9 @ way ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[926]) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk47 ) ) @ street ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(156,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk47 ) ) @ street ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[72]) ).
thf(3029,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,97]) ).
thf(3030,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ lonely ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3029]) ).
thf(3031,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3030:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3092,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3031]) ).
thf(22743,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ lonely ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3092]) ).
thf(22744,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ lonely ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22743]) ).
thf(22745,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ lonely ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22744:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22769,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ lonely ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22745]) ).
thf(1798,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,148]) ).
thf(1799,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1798]) ).
thf(1800,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1799:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1856,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1800]) ).
thf(4679,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,119]) ).
thf(4680,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4679]) ).
thf(4681,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ barrel ) ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4680:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4693,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ barrel ) ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4681]) ).
thf(1113,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,167]) ).
thf(1114,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( B @ street ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1113]) ).
thf(1115,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk9 @ street ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1114:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(1138,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk9 @ street ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1115]) ).
thf(5280,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,98]) ).
thf(5281,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5280]) ).
thf(5282,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5281:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5313,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5282]) ).
thf(1892,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,119]) ).
thf(1893,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1892]) ).
thf(1894,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1893:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(1936,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1894]) ).
thf(18932,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ street ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1560]) ).
thf(18933,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ street ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[18932]) ).
thf(18934,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ street ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[18933:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(19048,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ street ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[18934]) ).
thf(2470,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,149]) ).
thf(2471,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ chevy ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2470]) ).
thf(2472,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ chevy ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2471:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2515,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ chevy ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2472]) ).
thf(3205,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,144]) ).
thf(3206,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3205]) ).
thf(3207,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3206:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3254,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3207]) ).
thf(2900,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( C @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,125]) ).
thf(2901,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( C @ city ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2900]) ).
thf(2902,plain,
! [B: $i,A: $i] :
( ( sk36 @ ( B @ ( A @ sk45 ) @ city ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2901:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2973,plain,
! [B: $i,A: $i] :
( ( sk36 @ ( B @ ( A @ sk45 ) @ city ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2902]) ).
thf(4435,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,144]) ).
thf(4436,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4435]) ).
thf(4437,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4436:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4486,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4437]) ).
thf(1074,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,149]) ).
thf(1075,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1074]) ).
thf(1076,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1075:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1096,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1076]) ).
thf(2462,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( B @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,134]) ).
thf(2463,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( B @ in ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2462]) ).
thf(2464,plain,
! [A: $i] :
( ( sk36 @ ( sk37 @ ( A @ sk43 @ in ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2463:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2509,plain,
! [A: $i] :
( ( sk36 @ ( sk37 @ ( A @ sk43 @ in ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2464]) ).
thf(1662,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( A @ barrel ) ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,151]) ).
thf(1663,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( A @ barrel ) ) )
| ~ sk1 ),
inference(simp,[status(thm)],[1662]) ).
thf(1669,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk5 @ ( A @ barrel ) ) ) ),
inference(simp,[status(thm)],[1663]) ).
thf(1672,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk5 @ ( sk3 @ barrel ) ) ) ),
inference(simp,[status(thm)],[1669]) ).
thf(3598,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,123]) ).
thf(3599,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ car ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3598]) ).
thf(3600,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3599:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3632,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3600]) ).
thf(81,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ down ) ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(141,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ down ) ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[81]) ).
thf(3932,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,125]) ).
thf(3933,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3932]) ).
thf(3934,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3933:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4012,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3934]) ).
thf(6154,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( D @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,116]) ).
thf(6155,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( D @ event ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6154]) ).
thf(6156,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6155:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6218,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6156]) ).
thf(864,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,144]) ).
thf(865,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[864]) ).
thf(866,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[865:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(884,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[866]) ).
thf(3698,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,125]) ).
thf(3699,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3698]) ).
thf(3700,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3699:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3775,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3700]) ).
thf(4981,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,148]) ).
thf(4982,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4981]) ).
thf(4983,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4982:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5031,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4983]) ).
thf(22222,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ city ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3093]) ).
thf(22223,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ city ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22222]) ).
thf(22224,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ city ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22223:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22336,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ city ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22224]) ).
thf(1624,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,151]) ).
thf(1625,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1624]) ).
thf(1626,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1625:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1674,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1626]) ).
thf(23226,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ barrel ) ) )
!= ( G @ ( F @ ( E @ ( F @ ( G @ ( H @ sk31 ) ) ) @ barrel ) ) ) )
| ~ sk1
| ~ ( E @ ( H @ ( F @ sk30 ) ) )
| ~ $true
| ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[1674,112]) ).
thf(23227,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ barrel ) ) )
!= ( G @ ( F @ ( E @ ( F @ ( G @ ( H @ sk31 ) ) ) @ barrel ) ) ) )
| ~ ( E @ ( H @ ( F @ sk30 ) ) )
| ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[23226]) ).
thf(23228,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[23227:[bind(A,$thf( A )),bind(B,$thf( sk7 )),bind(C,$thf( sk5 )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( sk5 )),bind(G,$thf( sk7 )),bind(H,$thf( A ))]]) ).
thf(23256,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[23228]) ).
thf(23298,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ lonely ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[23256,143]) ).
thf(23299,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ lonely ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[23298]) ).
thf(23300,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[23299:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( A ))]]) ).
thf(23310,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[23300]) ).
thf(6525,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,137]) ).
thf(6526,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6525]) ).
thf(6527,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6526:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6593,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6527]) ).
thf(2810,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,119]) ).
thf(2811,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2810]) ).
thf(2812,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ barrel ) ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2811:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2830,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ barrel ) ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2812]) ).
thf(3066,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( E @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,158]) ).
thf(3067,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( E @ in ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3066]) ).
thf(3068,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ in ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3067:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3094,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ in ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3068]) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk49 ) ) @ way ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ~ ( C @ ( A @ ( B @ ( C @ sk49 ) ) @ way ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[37]) ).
thf(786,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk39 @ ( A @ way ) )
!= ( D @ ( B @ ( C @ ( D @ sk49 ) ) @ way ) ) )
| ~ ( B @ ( C @ ( D @ sk48 ) ) )
| ~ $true
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[103,104]) ).
thf(787,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk39 @ ( A @ way ) )
!= ( D @ ( B @ ( C @ ( D @ sk49 ) ) @ way ) ) )
| ~ ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[786]) ).
thf(788,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( A @ ( sk39 @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[787:[bind(A,$thf( G @ ( F @ ( sk39 @ sk49 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk39 ))]]) ).
thf(793,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( A @ ( sk39 @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[788]) ).
thf(5617,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk39 @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk39 @ sk48 ) ) )
| ( E @ ( D @ ( sk39 @ sk46 ) ) )
| ( E @ ( D @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,793]) ).
thf(5618,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk39 @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk39 @ sk48 ) ) )
| ( E @ ( D @ ( sk39 @ sk46 ) ) )
| ( E @ ( D @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5617]) ).
thf(5619,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk39 @ sk48 ) ) )
| ( A @ ( B @ ( sk39 @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( B @ ( sk39 @ sk48 ) ) )
| ( A @ ( B @ ( sk39 @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5618:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk39 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(5743,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk39 @ sk48 ) ) )
| ( A @ ( B @ ( sk39 @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5619]) ).
thf(22257,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( C @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,34]) ).
thf(22258,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( C @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22257]) ).
thf(22259,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22258:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22354,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22259]) ).
thf(518,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,99]) ).
thf(519,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[518]) ).
thf(520,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[519:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(526,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[520]) ).
thf(27864,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
!= ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27862]) ).
thf(87,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(96,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[87]) ).
thf(1552,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,107]) ).
thf(1553,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1552]) ).
thf(1554,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1553:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1567,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1554]) ).
thf(1908,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,119]) ).
thf(1909,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1908]) ).
thf(1910,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1909:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1942,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1910]) ).
thf(1271,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ old ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,171]) ).
thf(1272,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ old ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1271]) ).
thf(1273,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ old ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1272:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(1292,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ old ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1273]) ).
thf(22295,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( C @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,175]) ).
thf(22296,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( C @ city ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22295]) ).
thf(22297,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ city ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22296:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22343,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ city ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22297]) ).
thf(2604,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,94]) ).
thf(2605,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ white ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2604]) ).
thf(2606,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ white ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2605:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2613,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ white ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2606]) ).
thf(1897,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,119]) ).
thf(1898,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1897]) ).
thf(1899,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1898:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1937,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1899]) ).
thf(27394,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,134]) ).
thf(27395,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27394]) ).
thf(27396,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ in ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27395:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27461,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ in ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27396]) ).
thf(3894,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ white ) )
!= ( D @ ( B @ ( C @ ( D @ sk19 ) ) @ white ) ) )
| ~ sk1
| ~ ( B @ ( C @ ( D @ sk18 ) ) )
| ~ $true
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[94,138]) ).
thf(3895,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ white ) )
!= ( D @ ( B @ ( C @ ( D @ sk19 ) ) @ white ) ) )
| ~ ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[3894]) ).
thf(3896,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[3895:[bind(A,$thf( G @ ( F @ ( sk7 @ sk19 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk7 ))]]) ).
thf(3901,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[3896]) ).
thf(6926,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk18 ) ) )
| ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,3901]) ).
thf(6927,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk18 ) ) )
| ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6926]) ).
thf(6928,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6927:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk7 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(6978,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6928]) ).
thf(2923,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,149]) ).
thf(2924,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ chevy ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2923]) ).
thf(2925,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ chevy ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2924:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2968,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ chevy ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2925]) ).
thf(1077,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ chevy ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,149]) ).
thf(1078,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ chevy ) )
| sk1 ),
inference(simp,[status(thm)],[1077]) ).
thf(1093,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk38 @ ( A @ chevy ) )
| sk1 ),
inference(simp,[status(thm)],[1078]) ).
thf(1099,plain,
( ( sk35 != sk34 )
| ( sk38 @ ( sk35 @ chevy ) )
| sk1 ),
inference(simp,[status(thm)],[1093]) ).
thf(2447,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ city ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,125]) ).
thf(2448,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ city ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2447]) ).
thf(2449,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk43 @ city ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2448:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2519,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk43 @ city ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2449]) ).
thf(16819,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ dirty ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk59 ) ) ) @ dirty ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[5027,136]) ).
thf(16820,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ dirty ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk59 ) ) ) @ dirty ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[16819]) ).
thf(16821,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[16820:[bind(A,$thf( sk38 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk38 ))]]) ).
thf(16822,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[16821]) ).
thf(3753,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,171]) ).
thf(3754,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3753]) ).
thf(3755,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3754:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3770,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3755]) ).
thf(22269,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( C @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,159]) ).
thf(22270,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( C @ way ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22269]) ).
thf(22271,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ way ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22270:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22364,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ way ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22271]) ).
thf(1025,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,34]) ).
thf(1026,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ hollywood ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1025]) ).
thf(1027,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1026:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1050,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ hollywood ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1027]) ).
thf(4105,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,127]) ).
thf(4106,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ old ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4105]) ).
thf(4107,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4106:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4135,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ old ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4107]) ).
thf(4864,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,159]) ).
thf(4865,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ way ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4864]) ).
thf(4866,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk21 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4865:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4902,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk21 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4866]) ).
thf(6197,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,158]) ).
thf(6198,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6197]) ).
thf(6199,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6198:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6224,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6199]) ).
thf(5294,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,99]) ).
thf(5295,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5294]) ).
thf(5296,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5295:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5317,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5296]) ).
thf(981,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,148]) ).
thf(982,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[981]) ).
thf(983,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[982:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(997,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[983]) ).
thf(3316,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,123]) ).
thf(3317,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ car ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3316]) ).
thf(3318,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3317:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3354,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ car ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3318]) ).
thf(5337,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ street ) )
!= ( F @ ( D @ ( E @ ( F @ sk47 ) ) @ street ) ) )
| ~ ( D @ ( E @ ( F @ sk46 ) ) )
| ~ $true
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[4701,156]) ).
thf(5338,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ street ) )
!= ( F @ ( D @ ( E @ ( F @ sk47 ) ) @ street ) ) )
| ~ ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5337]) ).
thf(5339,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5338:[bind(A,$thf( sk39 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk39 ))]]) ).
thf(5380,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5339]) ).
thf(3622,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,94]) ).
thf(3623,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ white ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3622]) ).
thf(3624,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3623:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3628,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3624]) ).
thf(1779,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,113]) ).
thf(1780,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1779]) ).
thf(1781,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1780:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1874,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1781]) ).
thf(4671,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,99]) ).
thf(4672,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4671]) ).
thf(4673,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ lonely ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4672:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4689,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk47 ) ) @ lonely ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4673]) ).
thf(4964,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,106]) ).
thf(4965,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4964]) ).
thf(4966,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4965:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5026,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4966]) ).
thf(3076,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,107]) ).
thf(3077,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3076]) ).
thf(3078,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3077:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3083,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3078]) ).
thf(2851,plain,
! [C: $i,B: $i,A: '$world'] :
( ( ( sk5 @ ( A @ event ) )
!= ( C @ ( B @ ( C @ sk13 ) @ event ) ) )
| ~ sk1
| ~ ( B @ ( C @ sk12 ) )
| ~ $true
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[116,164]) ).
thf(2852,plain,
! [C: $i,B: $i,A: '$world'] :
( ( ( sk5 @ ( A @ event ) )
!= ( C @ ( B @ ( C @ sk13 ) @ event ) ) )
| ~ ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[2851]) ).
thf(2853,plain,
! [A: $i] :
( ~ ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk5 @ sk13 ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[2852:[bind(A,$thf( E @ ( sk5 @ sk13 ) )),bind(B,$thf( E )),bind(C,$thf( sk5 ))]]) ).
thf(2872,plain,
! [A: $i] :
( ~ ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk5 @ sk13 ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[2853]) ).
thf(3397,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk5 @ sk13 ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,2872]) ).
thf(3398,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk5 @ sk13 ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3397]) ).
thf(3399,plain,
! [A: $i] :
( ~ ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3398:[bind(A,$thf( A )),bind(B,$thf( sk5 )),bind(C,$thf( A ))]]) ).
thf(3454,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3399]) ).
thf(1801,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,113]) ).
thf(1802,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1801]) ).
thf(1803,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1802:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1857,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1803]) ).
thf(1215,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,107]) ).
thf(1216,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1215]) ).
thf(1217,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ down ) ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1216:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(1241,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ down ) ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1217]) ).
thf(351,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,99]) ).
thf(352,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[351]) ).
thf(353,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[352:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(360,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[353]) ).
thf(2206,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( B @ down ) ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,170]) ).
thf(2207,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( B @ down ) ) )
| sk1 ),
inference(simp,[status(thm)],[2206]) ).
thf(2208,plain,
( ( sk39 @ ( sk37 @ ( sk35 @ sk66 @ down ) ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[2207:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(22289,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ hollywood ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3095]) ).
thf(22290,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ hollywood ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22289]) ).
thf(22291,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ hollywood ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22290:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22339,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ hollywood ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22291]) ).
thf(1512,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( E @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,116]) ).
thf(1513,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( E @ event ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1512]) ).
thf(1514,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1513:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1563,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1514]) ).
thf(1032,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,159]) ).
thf(1033,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ way ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1032]) ).
thf(1034,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1033:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1054,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1034]) ).
thf(6554,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,123]) ).
thf(6555,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ car ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6554]) ).
thf(6556,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6555:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6592,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6556]) ).
thf(22711,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ city ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3093]) ).
thf(22712,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ city ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22711]) ).
thf(22713,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ city ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22712:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22768,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ city ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22713]) ).
thf(1082,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,149]) ).
thf(1083,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1082]) ).
thf(1084,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1083:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(1102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1084]) ).
thf(8950,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ chevy ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk53 ) ) ) @ chevy ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1102,120]) ).
thf(8951,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ chevy ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk53 ) ) ) @ chevy ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[8950]) ).
thf(8952,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[8951:[bind(A,$thf( sk38 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk38 ))]]) ).
thf(8955,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[8952]) ).
thf(22214,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,110]) ).
thf(22215,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22214]) ).
thf(22216,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22215:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22332,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22216]) ).
thf(2580,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,123]) ).
thf(2581,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ car ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2580]) ).
thf(2582,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ car ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2581:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2617,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ car ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2582]) ).
thf(1515,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[109,137]) ).
thf(1516,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ chevy ) )
| ~ sk1
| ~ ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1515]) ).
thf(1517,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1516:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk29 ) ) ) ))]]) ).
thf(1565,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk29 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1517]) ).
thf(20320,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ chevy ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1565]) ).
thf(20321,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ chevy ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20320]) ).
thf(20322,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ chevy ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20321:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(20422,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20322]) ).
thf(3982,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,99]) ).
thf(3983,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3982]) ).
thf(3984,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3983:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4004,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3984]) ).
thf(3935,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,106]) ).
thf(3936,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3935]) ).
thf(3937,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3936:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3999,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3937]) ).
thf(2945,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( C @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,99]) ).
thf(2946,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( C @ lonely ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2945]) ).
thf(2947,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( B @ ( A @ sk45 ) @ lonely ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2946:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2963,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( B @ ( A @ sk45 ) @ lonely ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2947]) ).
thf(1263,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,171]) ).
thf(1264,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1263]) ).
thf(1265,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ old ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1264:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(1286,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ old ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1265]) ).
thf(4842,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( D @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,116]) ).
thf(4843,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( D @ event ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4842]) ).
thf(4844,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4843:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4906,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4844]) ).
thf(3016,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,110]) ).
thf(3017,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ dirty ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3016]) ).
thf(3018,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3017:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3086,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3018]) ).
thf(22261,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ dirty ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3086]) ).
thf(22262,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ dirty ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22261]) ).
thf(22263,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ dirty ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22262:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22358,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ dirty ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22263]) ).
thf(665,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,99]) ).
thf(666,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[665]) ).
thf(667,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[666:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(674,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[667]) ).
thf(280,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,98]) ).
thf(281,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[280]) ).
thf(282,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk49 ) ) @ hollywood ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[281:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(298,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk49 ) ) @ hollywood ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[282]) ).
thf(410,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ way ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,103]) ).
thf(411,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ way ) )
| sk1 ),
inference(simp,[status(thm)],[410]) ).
thf(412,plain,
( ( sk39 @ ( sk35 @ sk66 @ way ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[411:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(4099,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,167]) ).
thf(4100,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ street ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4099]) ).
thf(4101,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk15 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4100:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4131,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk15 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4101]) ).
thf(3322,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,175]) ).
thf(3323,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ city ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3322]) ).
thf(3324,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3323:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3358,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ city ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3324]) ).
thf(3058,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,127]) ).
thf(3059,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ old ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3058]) ).
thf(3060,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3059:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3091,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3060]) ).
thf(22734,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ old ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3091]) ).
thf(22735,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ old ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22734]) ).
thf(22736,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ old ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22735:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22763,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ old ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22736]) ).
thf(36,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk8 )
| ~ ( A @ ( A @ sk9 @ hollywood ) ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(166,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk8 )
| ~ ( A @ ( A @ sk9 @ hollywood ) ) ),
inference(simp,[status(thm)],[36]) ).
thf(248,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ lonely ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,97]) ).
thf(249,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ lonely ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[248]) ).
thf(250,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ lonely ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[249:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(264,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ lonely ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[250]) ).
thf(3191,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,129]) ).
thf(3192,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3191]) ).
thf(3193,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3192:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3262,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3193]) ).
thf(23,plain,
! [A: $i] :
( ~ ( A @ sk40 )
| ~ ( A @ ( A @ sk41 @ hollywood ) )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(161,plain,
! [A: $i] :
( ~ ( A @ sk40 )
| ~ ( A @ ( A @ sk41 @ hollywood ) )
| sk1 ),
inference(simp,[status(thm)],[23]) ).
thf(9630,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ car ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk55 ) ) ) @ car ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1001,117]) ).
thf(9631,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ car ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk55 ) ) ) @ car ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[9630]) ).
thf(9632,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[9631:[bind(A,$thf( sk38 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk38 ))]]) ).
thf(9635,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[9632]) ).
thf(2663,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,125]) ).
thf(2664,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2663]) ).
thf(2665,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2664:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2734,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2665]) ).
thf(580,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,125]) ).
thf(581,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[580]) ).
thf(582,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[581:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(601,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[582]) ).
thf(1458,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,103]) ).
thf(1459,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1458]) ).
thf(1460,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1459:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1483,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1460]) ).
thf(6231,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ way ) )
!= ( F @ ( D @ ( E @ ( F @ sk49 ) ) @ way ) ) )
| ~ ( D @ ( E @ ( F @ sk48 ) ) )
| ~ $true
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[417,104]) ).
thf(6232,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ way ) )
!= ( F @ ( D @ ( E @ ( F @ sk49 ) ) @ way ) ) )
| ~ ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[6231]) ).
thf(6233,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[6232:[bind(A,$thf( sk39 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk39 ))]]) ).
thf(6234,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[6233]) ).
thf(2926,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( C @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,144]) ).
thf(2927,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( C @ event ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2926]) ).
thf(2928,plain,
! [B: $i,A: $i] :
( ( sk37 @ ( B @ ( A @ sk45 ) @ event ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2927:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2970,plain,
! [B: $i,A: $i] :
( ( sk37 @ ( B @ ( A @ sk45 ) @ event ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2928]) ).
thf(3718,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,148]) ).
thf(3719,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3718]) ).
thf(3720,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3719:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3768,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3720]) ).
thf(3604,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,175]) ).
thf(3605,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ city ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3604]) ).
thf(3606,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk17 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3605:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3636,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk17 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3606]) ).
thf(2193,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( A @ down ) ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,170]) ).
thf(2194,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( A @ down ) ) )
| sk1 ),
inference(simp,[status(thm)],[2193]) ).
thf(2218,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk39 @ ( sk37 @ ( A @ down ) ) )
| sk1 ),
inference(simp,[status(thm)],[2194]) ).
thf(2225,plain,
( ( sk35 != sk34 )
| ( sk39 @ ( sk37 @ ( sk35 @ down ) ) )
| sk1 ),
inference(simp,[status(thm)],[2218]) ).
thf(6507,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ car ) )
!= ( F @ ( D @ ( E @ ( F @ sk17 ) ) @ car ) ) )
| ~ sk1
| ~ ( D @ ( E @ ( F @ sk16 ) ) )
| ~ $true
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[3632,154]) ).
thf(6508,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ car ) )
!= ( F @ ( D @ ( E @ ( F @ sk17 ) ) @ car ) ) )
| ~ ( D @ ( E @ ( F @ sk16 ) ) )
| ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6507]) ).
thf(6509,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6508:[bind(A,$thf( sk7 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk7 ))]]) ).
thf(6510,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[6509]) ).
thf(830,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,98]) ).
thf(831,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ hollywood ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[830]) ).
thf(832,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk41 @ hollywood ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[831:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(843,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk41 @ hollywood ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[832]) ).
thf(1927,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( B @ barrel ) ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,119]) ).
thf(1928,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( B @ barrel ) ) )
| sk1 ),
inference(simp,[status(thm)],[1927]) ).
thf(1929,plain,
( ( sk38 @ ( sk37 @ ( sk35 @ sk66 @ barrel ) ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[1928:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(1841,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,171]) ).
thf(1842,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1841]) ).
thf(1843,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1842:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1873,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1843]) ).
thf(36149,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ old ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ old ) ) )
| ~ ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1873,153]) ).
thf(36150,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ old ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ old ) ) )
| ~ ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[36149]) ).
thf(36151,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( sk38 @ ( B @ sk60 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( A @ ( sk38 @ ( B @ sk60 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[36150:[bind(A,$thf( sk38 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk38 ))]]) ).
thf(36525,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( sk38 @ ( B @ sk60 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk58 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[36151]) ).
thf(676,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,129]) ).
thf(677,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[676]) ).
thf(678,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[677:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(711,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[678]) ).
thf(204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[203]) ).
thf(2772,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,134]) ).
thf(2773,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2772]) ).
thf(2774,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ in ) ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2773:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2827,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ in ) ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2774]) ).
thf(542,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,115]) ).
thf(543,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[542]) ).
thf(544,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[543:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(562,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[544]) ).
thf(3968,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,98]) ).
thf(3969,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3968]) ).
thf(3970,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3969:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4000,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3970]) ).
thf(6528,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,97]) ).
thf(6529,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6528]) ).
thf(6530,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk19 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6529:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6581,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk19 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6530]) ).
thf(2004,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,134]) ).
thf(2005,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2004]) ).
thf(2006,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2005:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(2016,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2006]) ).
thf(2437,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( B @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,170]) ).
thf(2438,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( B @ down ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2437]) ).
thf(2439,plain,
! [A: $i] :
( ( sk39 @ ( sk37 @ ( A @ sk43 @ down ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2438:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2514,plain,
! [A: $i] :
( ( sk39 @ ( sk37 @ ( A @ sk43 @ down ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2439]) ).
thf(3441,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( C @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,151]) ).
thf(3442,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( C @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3441]) ).
thf(3443,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( B @ ( A @ sk13 ) @ barrel ) ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3442:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3458,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( B @ ( A @ sk13 ) @ barrel ) ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3443]) ).
thf(23283,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[23256,109]) ).
thf(23284,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[23283]) ).
thf(23285,plain,
! [B: $i,A: $i] :
( ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[23284:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( A ))]]) ).
thf(23318,plain,
! [B: $i,A: $i] :
( ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[23285]) ).
thf(1450,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,144]) ).
thf(1451,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1450]) ).
thf(1452,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1451:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1488,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1452]) ).
thf(4402,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,115]) ).
thf(4403,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4402]) ).
thf(4404,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4403:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4485,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4404]) ).
thf(3693,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,115]) ).
thf(3694,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3693]) ).
thf(3695,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3694:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3773,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3695]) ).
thf(20010,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ event ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1563]) ).
thf(20011,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ event ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20010]) ).
thf(20012,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ event ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20011:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(20119,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ event ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20012]) ).
thf(3285,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,137]) ).
thf(3286,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ chevy ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3285]) ).
thf(3287,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3286:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3355,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ chevy ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3287]) ).
thf(21620,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ car ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1572]) ).
thf(21621,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ car ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21620]) ).
thf(21622,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ car ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[21621:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(21735,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ car ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21622]) ).
thf(390,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 != sk36 )
| ( ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[388]) ).
thf(391,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) )
!= ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[390]) ).
thf(1128,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( A @ street ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,167]) ).
thf(1129,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk6 @ ( A @ street ) )
| ~ sk1 ),
inference(simp,[status(thm)],[1128]) ).
thf(1135,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( A @ street ) ) ),
inference(simp,[status(thm)],[1129]) ).
thf(1139,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( sk3 @ street ) ) ),
inference(simp,[status(thm)],[1135]) ).
thf(4984,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,149]) ).
thf(4985,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4984]) ).
thf(4986,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4985:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5033,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4986]) ).
thf(380,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( B @ event ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,116]) ).
thf(381,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( B @ event ) ) ),
inference(simp,[status(thm)],[380]) ).
thf(382,plain,
( ~ sk1
| ( sk5 @ ( sk3 @ sk66 @ event ) ) ),
inference(pattern_uni,[status(thm)],[381:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(2675,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,129]) ).
thf(2676,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2675]) ).
thf(2677,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2676:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2738,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2677]) ).
thf(22298,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ lonely ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3092]) ).
thf(22299,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ lonely ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22298]) ).
thf(22300,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ lonely ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22299:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22345,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ lonely ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22300]) ).
thf(695,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,129]) ).
thf(696,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[695]) ).
thf(697,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[696:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(713,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[697]) ).
thf(1759,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,115]) ).
thf(1760,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1759]) ).
thf(1761,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1760:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1865,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1761]) ).
thf(5283,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,103]) ).
thf(5284,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5283]) ).
thf(5285,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5284:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5314,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5285]) ).
thf(464,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ street ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,106]) ).
thf(465,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ street ) )
| sk1 ),
inference(simp,[status(thm)],[464]) ).
thf(466,plain,
( ( sk39 @ ( sk35 @ sk66 @ street ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[465:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(187,plain,
! [B: $i,A: '$world'] :
( ( ( sk4 @ ( A @ hollywood ) )
!= ( B @ ( B @ sk9 @ hollywood ) ) )
| ~ sk1
| ~ ( B @ sk8 )
| ~ $true
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[34,166]) ).
thf(188,plain,
! [B: $i,A: '$world'] :
( ( ( sk4 @ ( A @ hollywood ) )
!= ( B @ ( B @ sk9 @ hollywood ) ) )
| ~ ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[187]) ).
thf(189,plain,
( ~ ( sk4 @ sk8 )
| ~ sk1
| ~ ( sk4 @ sk9 @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[188:[bind(A,$thf( sk4 @ sk9 )),bind(B,$thf( sk4 ))]]) ).
thf(907,plain,
! [A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( sk4 @ sk9 @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( sk4 @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,189]) ).
thf(908,plain,
! [A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( sk4 @ sk9 @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( sk4 @ sk8 )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[907]) ).
thf(909,plain,
( ~ ( sk4 @ sk8 )
| ~ sk1
| ~ ( sk4 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[908:[bind(A,$thf( sk4 ))]]) ).
thf(947,plain,
( ~ sk1
| ~ ( sk4 @ sk8 ) ),
inference(simp,[status(thm)],[909]) ).
thf(29551,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( D @ ( D @ sk41 @ hollywood ) ) )
| ~ ( D @ sk40 )
| ~ $true
| sk1
| ( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
!= ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27864,161]) ).
thf(29552,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( D @ ( D @ sk41 @ hollywood ) ) )
| ~ ( D @ sk40 )
| ( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
!= ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[29551]) ).
thf(29633,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( D @ ( D @ sk41 @ hollywood ) ) )
| ~ ( D @ sk40 )
| ( sk39 != sk39 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[29552]) ).
thf(29638,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( D @ ( D @ sk41 @ hollywood ) ) )
| ~ ( D @ sk40 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[29633]) ).
thf(35335,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( sk36 @ ( F @ ( E @ ( D @ ( sk38 @ sk65 ) ) ) @ hollywood ) ) )
| ~ ( G @ ( G @ sk41 @ hollywood ) )
| ~ ( G @ sk40 )
| ( ( F @ ( E @ ( D @ ( sk38 @ sk64 ) ) ) )
!= ( F @ ( E @ ( D @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( F @ ( E @ ( D @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( F @ ( D @ ( E @ sk62 ) ) )
| ( F @ ( D @ ( E @ sk50 ) ) )
| ( F @ ( E @ ( D @ sk48 ) ) )
| ( F @ ( E @ ( D @ sk46 ) ) )
| ( F @ ( E @ sk44 ) )
| ( F @ sk42 )
| ( F @ sk40 )
| sk1
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27869,29638]) ).
thf(35336,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
!= ( sk36 @ ( F @ ( E @ ( D @ ( sk38 @ sk65 ) ) ) @ hollywood ) ) )
| ~ ( G @ ( G @ sk41 @ hollywood ) )
| ~ ( G @ sk40 )
| ( ( F @ ( E @ ( D @ ( sk38 @ sk64 ) ) ) )
!= ( F @ ( E @ ( D @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( F @ ( E @ ( D @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( F @ ( D @ ( E @ sk62 ) ) )
| ( F @ ( D @ ( E @ sk50 ) ) )
| ( F @ ( E @ ( D @ sk48 ) ) )
| ( F @ ( E @ ( D @ sk46 ) ) )
| ( F @ ( E @ sk44 ) )
| ( F @ sk42 )
| ( F @ sk40 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[35335]) ).
thf(35337,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( D @ sk41 @ hollywood ) )
| ~ ( D @ sk40 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[35336:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( B )),bind(F,$thf( C ))]]) ).
thf(35651,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( D @ sk41 @ hollywood ) )
| ~ ( D @ sk40 )
| ( ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) )
!= ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ street ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[35337]) ).
thf(660,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,103]) ).
thf(661,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[660]) ).
thf(662,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[661:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(672,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[662]) ).
thf(2450,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ street ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,106]) ).
thf(2451,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ street ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2450]) ).
thf(2452,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk43 @ street ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2451:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2521,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk43 @ street ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2452]) ).
thf(3313,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,167]) ).
thf(3314,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ street ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3313]) ).
thf(3315,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3314:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3352,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ street ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3315]) ).
thf(2198,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( B @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,170]) ).
thf(2199,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( B @ down ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2198]) ).
thf(2200,plain,
! [A: $i] :
( ( sk39 @ ( sk37 @ ( A @ sk41 @ down ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2199:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(2229,plain,
! [A: $i] :
( ( sk39 @ ( sk37 @ ( A @ sk41 @ down ) ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2200]) ).
thf(6183,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,167]) ).
thf(6184,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ street ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6183]) ).
thf(6185,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk23 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6184:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6217,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk23 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6185]) ).
thf(963,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,148]) ).
thf(964,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[963]) ).
thf(965,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ car ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[964:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(996,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ car ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[965]) ).
thf(4083,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,34]) ).
thf(4084,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4083]) ).
thf(4085,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk15 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4084:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4139,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk15 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4085]) ).
thf(240,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(eqfactor_ordered,[status(thm)],[133]) ).
thf(243,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) )
!= ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) ) )
| ( sk3 != sk3 )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[240]) ).
thf(245,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) )
!= ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[243]) ).
thf(307,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ dirty ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,110]) ).
thf(308,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ dirty ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[307]) ).
thf(309,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ dirty ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[308:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(318,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ dirty ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[309]) ).
thf(3079,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,94]) ).
thf(3080,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ white ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3079]) ).
thf(3081,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3080:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3085,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3081]) ).
thf(22308,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ white ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3085]) ).
thf(22309,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ white ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22308]) ).
thf(22310,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ white ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22309:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22350,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ white ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22310]) ).
thf(1494,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,109]) ).
thf(1495,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1494]) ).
thf(1496,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1495:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D ))]]) ).
thf(1571,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1496]) ).
thf(6147,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,110]) ).
thf(6148,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ dirty ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6147]) ).
thf(6149,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6148:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6216,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6149]) ).
thf(2497,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ old ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,171]) ).
thf(2498,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ old ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2497]) ).
thf(2499,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ old ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2498:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2510,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ old ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2499]) ).
thf(6572,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,151]) ).
thf(6573,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6572]) ).
thf(6574,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6573:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6585,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6574]) ).
thf(583,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,125]) ).
thf(584,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[583]) ).
thf(585,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[584:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(604,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[585]) ).
thf(3566,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( D @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,116]) ).
thf(3567,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( D @ event ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3566]) ).
thf(3568,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3567:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3631,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3568]) ).
thf(3202,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,149]) ).
thf(3203,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3202]) ).
thf(3204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3203:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3251,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3204]) ).
thf(22283,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,123]) ).
thf(22284,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ car ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22283]) ).
thf(22285,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ car ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22284:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22335,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ car ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22285]) ).
thf(3737,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,103]) ).
thf(3738,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3737]) ).
thf(3739,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3738:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3779,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3739]) ).
thf(1022,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,97]) ).
thf(1023,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ lonely ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1022]) ).
thf(1024,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1023:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1048,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1024]) ).
thf(734,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ chevy ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,137]) ).
thf(735,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ chevy ) ) ),
inference(simp,[status(thm)],[734]) ).
thf(736,plain,
( ~ sk1
| ( sk7 @ ( sk3 @ sk66 @ chevy ) ) ),
inference(pattern_uni,[status(thm)],[735:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(4892,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,151]) ).
thf(4893,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4892]) ).
thf(4894,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4893:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4914,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4894]) ).
thf(4626,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,125]) ).
thf(4627,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4626]) ).
thf(4628,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk47 ) ) @ city ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4627:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4699,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk47 ) ) @ city ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4628]) ).
thf(341,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( A @ lonely ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,99]) ).
thf(342,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( A @ lonely ) )
| sk1 ),
inference(simp,[status(thm)],[341]) ).
thf(359,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk39 @ ( A @ lonely ) )
| sk1 ),
inference(simp,[status(thm)],[342]) ).
thf(362,plain,
( ( sk35 != sk34 )
| ( sk39 @ ( sk35 @ lonely ) )
| sk1 ),
inference(simp,[status(thm)],[359]) ).
thf(550,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,115]) ).
thf(551,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[550]) ).
thf(552,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[551:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(567,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[552]) ).
thf(4446,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,103]) ).
thf(4447,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4446]) ).
thf(4448,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4447:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4477,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4448]) ).
thf(2601,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( B @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,107]) ).
thf(2602,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( B @ down ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2601]) ).
thf(2603,plain,
! [A: $i] :
( ( sk6 @ ( sk5 @ ( A @ sk11 @ down ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2602:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2610,plain,
! [A: $i] :
( ( sk6 @ ( sk5 @ ( A @ sk11 @ down ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2603]) ).
thf(4880,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,175]) ).
thf(4881,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ city ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4880]) ).
thf(4882,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk21 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4881:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4911,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk21 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4882]) ).
thf(838,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,99]) ).
thf(839,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ lonely ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[838]) ).
thf(840,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk41 @ lonely ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[839:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(848,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk41 @ lonely ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[840]) ).
thf(22708,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ way ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3084]) ).
thf(22709,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ way ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22708]) ).
thf(22710,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22709:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22766,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22710]) ).
thf(3423,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,123]) ).
thf(3424,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ car ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3423]) ).
thf(3425,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ car ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3424:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3451,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ car ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3425]) ).
thf(624,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ old ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,127]) ).
thf(625,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ old ) ) ),
inference(simp,[status(thm)],[624]) ).
thf(626,plain,
( ~ sk1
| ( sk7 @ ( sk3 @ sk66 @ old ) ) ),
inference(pattern_uni,[status(thm)],[625:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(10169,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ street ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk25 ) ) ) @ street ) ) )
| ~ sk1
| ~ ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ~ $true
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[3352,108]) ).
thf(10170,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ street ) )
!= ( H @ ( E @ ( F @ ( G @ ( H @ sk25 ) ) ) @ street ) ) )
| ~ ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[10169]) ).
thf(10171,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[10170:[bind(A,$thf( sk6 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( sk6 ))]]) ).
thf(10172,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[10171]) ).
thf(916,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,97]) ).
thf(917,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( B @ lonely ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[916]) ).
thf(918,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk9 @ lonely ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[917:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(943,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk9 @ lonely ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[918]) ).
thf(1947,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
!= ( sk38 @ ( sk37 @ ( sk35 @ sk66 @ barrel ) ) ) )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ $true
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[1929,96]) ).
thf(1948,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
!= ( sk38 @ ( sk37 @ ( sk35 @ sk66 @ barrel ) ) ) )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1947]) ).
thf(1951,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D != sk38 )
| ( B != sk37 )
| ( ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) )
!= ( sk35 @ sk66 ) )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1948]) ).
thf(1952,plain,
! [B: $i,A: $i] :
( ( ( A @ ( sk37 @ ( B @ ( sk38 @ sk63 ) ) ) )
!= ( sk35 @ sk66 ) )
| ~ ( A @ ( B @ ( sk37 @ sk62 ) ) )
| ( A @ ( B @ ( sk38 @ ( sk37 @ sk60 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk58 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( B @ ( sk37 @ sk50 ) ) )
| ( A @ ( sk37 @ ( B @ sk48 ) ) )
| ( A @ ( sk37 @ ( B @ sk46 ) ) )
| ( A @ ( sk37 @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1951]) ).
thf(856,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,144]) ).
thf(857,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[856]) ).
thf(858,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ event ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[857:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(890,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ event ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[858]) ).
thf(3434,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( C @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,158]) ).
thf(3435,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( C @ in ) ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3434]) ).
thf(3436,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( B @ ( A @ sk13 ) @ in ) ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3435:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3456,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( B @ ( A @ sk13 ) @ in ) ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3436]) ).
thf(2760,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,106]) ).
thf(2761,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2760]) ).
thf(2762,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ street ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2761:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2824,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ street ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2762]) ).
thf(4649,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,149]) ).
thf(4650,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4649]) ).
thf(4651,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ chevy ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4650:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4694,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ chevy ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4651]) ).
thf(4987,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,144]) ).
thf(4988,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4987]) ).
thf(4989,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4988:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5035,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4989]) ).
thf(1787,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[96,113]) ).
thf(1788,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1787]) ).
thf(1789,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1788:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D ))]]) ).
thf(1877,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1789]) ).
thf(622,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( A @ old ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,127]) ).
thf(623,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk7 @ ( A @ old ) )
| ~ sk1 ),
inference(simp,[status(thm)],[622]) ).
thf(629,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( A @ old ) ) ),
inference(simp,[status(thm)],[623]) ).
thf(631,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk3 @ old ) ) ),
inference(simp,[status(thm)],[629]) ).
thf(2716,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,171]) ).
thf(2717,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2716]) ).
thf(2718,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2717:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2742,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2718]) ).
thf(1815,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,98]) ).
thf(1816,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1815]) ).
thf(1817,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1816:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1862,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1817]) ).
thf(27421,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,103]) ).
thf(27422,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27421]) ).
thf(27423,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ way ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27422:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27475,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ way ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27423]) ).
thf(1274,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,171]) ).
thf(1275,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1274]) ).
thf(1276,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1275:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(1293,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1276]) ).
thf(2934,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( C @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,103]) ).
thf(2935,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( C @ way ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2934]) ).
thf(2936,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( B @ ( A @ sk45 ) @ way ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2935:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2974,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( B @ ( A @ sk45 ) @ way ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2936]) ).
thf(6515,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,110]) ).
thf(6516,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6515]) ).
thf(6517,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6516:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6589,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk19 ) ) @ dirty ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6517]) ).
thf(2912,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,129]) ).
thf(2913,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ dirty ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2912]) ).
thf(2914,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ dirty ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2913:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2962,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ dirty ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2914]) ).
thf(22211,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ car ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3089]) ).
thf(22212,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ car ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22211]) ).
thf(22213,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ car ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22212:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22331,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ car ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22213]) ).
thf(3588,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,159]) ).
thf(3589,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ way ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3588]) ).
thf(3590,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk17 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3589:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3627,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk17 ) ) @ way ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3590]) ).
thf(2554,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,97]) ).
thf(2555,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( B @ lonely ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2554]) ).
thf(2556,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk11 @ lonely ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2555:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2620,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk11 @ lonely ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2556]) ).
thf(6192,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,175]) ).
thf(6193,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ city ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6192]) ).
thf(6194,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk23 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6193:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6223,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk23 ) ) @ city ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6194]) ).
thf(27436,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,99]) ).
thf(27437,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27436]) ).
thf(27438,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ lonely ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27437:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27466,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ lonely ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27438]) ).
thf(973,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,148]) ).
thf(974,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[973]) ).
thf(975,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[974:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1000,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[975]) ).
thf(2953,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( C @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,119]) ).
thf(2954,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( C @ barrel ) ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2953]) ).
thf(2955,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( B @ ( A @ sk45 ) @ barrel ) ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2954:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2967,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( B @ ( A @ sk45 ) @ barrel ) ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2955]) ).
thf(3306,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( E @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,159]) ).
thf(3307,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( E @ way ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3306]) ).
thf(3308,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3307:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3348,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ way ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3308]) ).
thf(4429,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,148]) ).
thf(4430,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4429]) ).
thf(4431,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4430:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4481,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4431]) ).
thf(1155,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,125]) ).
thf(1156,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1155]) ).
thf(1157,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1156:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1198,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1157]) ).
thf(59,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk10 )
| ~ ( A @ ( A @ sk11 @ city ) )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(135,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ sk10 )
| ~ ( A @ ( A @ sk11 @ city ) )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[59]) ).
thf(558,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,115]) ).
thf(559,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[558]) ).
thf(560,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[559:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(563,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[560]) ).
thf(459,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,106]) ).
thf(460,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[459]) ).
thf(461,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[460:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(473,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[461]) ).
thf(4895,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,107]) ).
thf(4896,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4895]) ).
thf(4897,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4896:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4901,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4897]) ).
thf(1145,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,129]) ).
thf(1146,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1145]) ).
thf(1147,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1146:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1203,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1147]) ).
thf(20928,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ down ) ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1567]) ).
thf(20929,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ down ) ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20928]) ).
thf(20930,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ down ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20929:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(21022,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20930]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ sk44 ) )
| ~ ( B @ ( A @ ( B @ sk45 ) @ event ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(162,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ sk44 ) )
| ~ ( B @ ( A @ ( B @ sk45 ) @ event ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[8]) ).
thf(4031,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk37 @ ( B @ ( A @ sk45 ) @ event ) )
!= ( D @ ( C @ ( D @ sk45 ) @ event ) ) )
| ~ ( C @ ( D @ sk44 ) )
| ~ $true
| ( C @ sk42 )
| ( C @ sk40 )
| sk1
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[2970,162]) ).
thf(4032,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk37 @ ( B @ ( A @ sk45 ) @ event ) )
!= ( D @ ( C @ ( D @ sk45 ) @ event ) ) )
| ~ ( C @ ( D @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4031]) ).
thf(4033,plain,
! [A: $i] :
( ~ ( A @ ( sk37 @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( sk37 @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4032:[bind(A,$thf( sk37 )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk37 ))]]) ).
thf(4052,plain,
! [A: $i] :
( ~ ( A @ ( sk37 @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4033]) ).
thf(2411,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ dirty ) )
!= ( D @ ( B @ ( C @ ( D @ sk21 ) ) @ dirty ) ) )
| ~ sk1
| ~ ( B @ ( C @ ( D @ sk20 ) ) )
| ~ $true
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[110,118]) ).
thf(2412,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ dirty ) )
!= ( D @ ( B @ ( C @ ( D @ sk21 ) ) @ dirty ) ) )
| ~ ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[2411]) ).
thf(2413,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[2412:[bind(A,$thf( G @ ( F @ ( sk7 @ sk21 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk7 ))]]) ).
thf(2432,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[2413]) ).
thf(8014,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk20 ) ) )
| ( E @ ( D @ ( sk7 @ sk18 ) ) )
| ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,2432]) ).
thf(8015,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( D @ ( sk7 @ sk20 ) ) )
| ( E @ ( D @ ( sk7 @ sk18 ) ) )
| ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[8014]) ).
thf(8016,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( sk7 @ sk20 ) ) )
| ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk20 ) ) )
| ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[8015:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk7 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(8067,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( sk7 @ sk20 ) ) )
| ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[8016]) ).
thf(910,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( B @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,116]) ).
thf(911,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( B @ event ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[910]) ).
thf(912,plain,
! [A: $i] :
( ( sk5 @ ( A @ sk9 @ event ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[911:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(939,plain,
! [A: $i] :
( ( sk5 @ ( A @ sk9 @ event ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[912]) ).
thf(4809,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ chevy ) )
!= ( F @ ( D @ ( E @ ( F @ sk15 ) ) @ chevy ) ) )
| ~ sk1
| ~ ( D @ ( E @ ( F @ sk14 ) ) )
| ~ $true
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[4134,165]) ).
thf(4810,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ chevy ) )
!= ( F @ ( D @ ( E @ ( F @ sk15 ) ) @ chevy ) ) )
| ~ ( D @ ( E @ ( F @ sk14 ) ) )
| ( D @ ( E @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4809]) ).
thf(4811,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4810:[bind(A,$thf( sk7 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk7 ))]]) ).
thf(4812,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[4811]) ).
thf(1039,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,127]) ).
thf(1040,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ old ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1039]) ).
thf(1041,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1040:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1049,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1041]) ).
thf(4874,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,123]) ).
thf(4875,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ car ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4874]) ).
thf(4876,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4875:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4907,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4876]) ).
thf(4641,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,134]) ).
thf(4642,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4641]) ).
thf(4643,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ in ) ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4642:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4690,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ in ) ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4643]) ).
thf(4076,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,97]) ).
thf(4077,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4076]) ).
thf(4078,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk15 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4077:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4136,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk15 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4078]) ).
thf(1321,plain,
! [B: $i,A: '$world'] :
( ( ( sk4 @ ( A @ city ) )
!= ( B @ ( B @ sk11 @ city ) ) )
| ~ sk1
| ~ ( B @ sk10 )
| ~ $true
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[175,135]) ).
thf(1322,plain,
! [B: $i,A: '$world'] :
( ( ( sk4 @ ( A @ city ) )
!= ( B @ ( B @ sk11 @ city ) ) )
| ~ ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[1321]) ).
thf(1323,plain,
( ~ ( sk4 @ sk10 )
| ( sk4 @ sk8 )
| ~ sk1
| ~ ( sk4 @ sk11 @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[1322:[bind(A,$thf( sk4 @ sk11 )),bind(B,$thf( sk4 ))]]) ).
thf(2541,plain,
! [A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( sk4 @ sk11 @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( sk4 @ sk10 )
| ( sk4 @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,1323]) ).
thf(2542,plain,
! [A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( sk4 @ sk11 @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( sk4 @ sk10 )
| ( sk4 @ sk8 )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2541]) ).
thf(2543,plain,
( ~ ( sk4 @ sk10 )
| ( sk4 @ sk8 )
| ~ sk1
| ~ ( sk4 @ sk10 )
| ( sk4 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2542:[bind(A,$thf( sk4 ))]]) ).
thf(2614,plain,
( ~ sk1
| ~ ( sk4 @ sk10 )
| ( sk4 @ sk8 ) ),
inference(simp,[status(thm)],[2543]) ).
thf(902,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,110]) ).
thf(903,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ dirty ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[902]) ).
thf(904,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ dirty ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[903:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(944,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ dirty ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[904]) ).
thf(6167,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,34]) ).
thf(6168,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ hollywood ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6167]) ).
thf(6169,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk23 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6168:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6225,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk23 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6169]) ).
thf(4995,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,103]) ).
thf(4996,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4995]) ).
thf(4997,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4996:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5025,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4997]) ).
thf(3429,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( C @ city ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,175]) ).
thf(3430,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( C @ city ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3429]) ).
thf(3431,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( A @ sk13 ) @ city ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3430:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3455,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( A @ sk13 ) @ city ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3431]) ).
thf(4638,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,129]) ).
thf(4639,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4638]) ).
thf(4640,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ dirty ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4639:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4688,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ dirty ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4640]) ).
thf(2307,plain,
! [B: $i,A: $i] :
( ( ( sk36 @ ( A @ sk41 @ hollywood ) )
!= ( B @ ( B @ sk41 @ hollywood ) ) )
| ~ ( B @ sk40 )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[843,161]) ).
thf(2308,plain,
! [B: $i,A: $i] :
( ( ( sk36 @ ( A @ sk41 @ hollywood ) )
!= ( B @ ( B @ sk41 @ hollywood ) ) )
| ~ ( B @ sk40 )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2307]) ).
thf(2309,plain,
( ~ ( sk36 @ sk40 )
| ~ ( sk36 @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2308:[bind(A,$thf( sk36 )),bind(B,$thf( sk36 ))]]) ).
thf(2333,plain,
( ~ ( sk36 @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2309]) ).
thf(1953,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
!= ( sk38 @ ( sk37 @ ( sk35 @ barrel ) ) ) )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ~ $true
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1
| ( sk35 != sk34 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1939,96]) ).
thf(1954,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) @ barrel ) ) )
!= ( sk38 @ ( sk37 @ ( sk35 @ barrel ) ) ) )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ( sk35 != sk34 )
| sk1 ),
inference(simp,[status(thm)],[1953]) ).
thf(1957,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D != sk38 )
| ( B != sk37 )
| ( ( A @ ( B @ ( C @ ( D @ sk63 ) ) ) )
!= sk35 )
| ~ ( A @ ( C @ ( B @ sk62 ) ) )
| ( sk35 != sk34 )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1954]) ).
thf(1958,plain,
! [B: $i,A: $i] :
( ( ( A @ ( sk37 @ ( B @ ( sk38 @ sk63 ) ) ) )
!= sk35 )
| ~ ( A @ ( B @ ( sk37 @ sk62 ) ) )
| ( sk35 != sk34 )
| ( A @ ( B @ ( sk38 @ ( sk37 @ sk60 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk58 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( B @ ( sk37 @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( B @ ( sk37 @ sk50 ) ) )
| ( A @ ( sk37 @ ( B @ sk48 ) ) )
| ( A @ ( sk37 @ ( B @ sk46 ) ) )
| ( A @ ( sk37 @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1957]) ).
thf(13280,plain,
! [C: $i,B: $i,A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,11834]) ).
thf(13281,plain,
! [C: $i,B: $i,A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1 ),
inference(simp,[status(thm)],[13280]) ).
thf(13390,plain,
! [C: $i,B: $i,A: '$world'] :
( ( ( A @ sk66 )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) ) )
| ( A != sk3 )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[13281]) ).
thf(13454,plain,
! [B: $i,A: $i] :
( ( ( B @ ( sk5 @ ( sk7 @ ( A @ sk31 ) ) ) )
!= ( sk3 @ sk66 ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk25 ) ) ) @ street ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk27 ) ) ) @ way ) )
| ~ ( A @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[13390]) ).
thf(2500,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( B @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,119]) ).
thf(2501,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( B @ barrel ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2500]) ).
thf(2502,plain,
! [A: $i] :
( ( sk38 @ ( sk37 @ ( A @ sk43 @ barrel ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2501:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2513,plain,
! [A: $i] :
( ( sk38 @ ( sk37 @ ( A @ sk43 @ barrel ) ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2502]) ).
thf(515,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,103]) ).
thf(516,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[515]) ).
thf(517,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[516:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(525,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[517]) ).
thf(286,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,98]) ).
thf(287,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[286]) ).
thf(288,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[287:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(295,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[288]) ).
thf(4410,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,106]) ).
thf(4411,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4410]) ).
thf(4412,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4411:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4490,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4412]) ).
thf(2478,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,98]) ).
thf(2479,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ hollywood ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2478]) ).
thf(2480,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk43 @ hollywood ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2479:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2518,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk43 @ hollywood ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2480]) ).
thf(22234,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( C @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,97]) ).
thf(22235,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( C @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22234]) ).
thf(22236,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22235:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22344,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22236]) ).
thf(1444,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,148]) ).
thf(1445,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1444]) ).
thf(1446,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1445:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1484,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1446]) ).
thf(555,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ white ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,115]) ).
thf(556,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ white ) )
| sk1 ),
inference(simp,[status(thm)],[555]) ).
thf(557,plain,
( ( sk38 @ ( sk35 @ sk66 @ white ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[556:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ down ) ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(cnfConj,[status(thm)],[6]) ).
thf(150,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ down ) ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[63]) ).
thf(687,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,129]) ).
thf(688,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[687]) ).
thf(689,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[688:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(707,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[689]) ).
thf(27444,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,119]) ).
thf(27445,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27444]) ).
thf(27446,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ barrel ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27445:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27470,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ barrel ) ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27446]) ).
thf(3073,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[126,151]) ).
thf(3074,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk27 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3073]) ).
thf(3075,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3074:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk27 ) ) ) ))]]) ).
thf(3082,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk27 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3075]) ).
thf(850,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,144]) ).
thf(851,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[850]) ).
thf(852,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[851:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(887,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[852]) ).
thf(1962,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,134]) ).
thf(1963,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( D @ in ) ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1962]) ).
thf(1964,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ in ) ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1963:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(2012,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ in ) ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1964]) ).
thf(2658,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,115]) ).
thf(2659,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2658]) ).
thf(2660,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2659:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2732,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2660]) ).
thf(1903,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
!= ( E @ ( C @ ( B @ ( C @ ( D @ ( E @ sk63 ) ) ) @ barrel ) ) ) )
| ~ ( B @ ( D @ ( C @ sk62 ) ) )
| ~ $true
| ( B @ ( D @ ( E @ ( C @ sk60 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk58 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk56 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[119,96]) ).
thf(1904,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( sk37 @ ( A @ barrel ) ) )
!= ( E @ ( C @ ( B @ ( C @ ( D @ ( E @ sk63 ) ) ) @ barrel ) ) ) )
| ~ ( B @ ( D @ ( C @ sk62 ) ) )
| ( B @ ( D @ ( E @ ( C @ sk60 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk58 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk56 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[1903]) ).
thf(1905,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk37 @ sk62 ) ) )
| ( B @ ( A @ ( sk38 @ ( sk37 @ sk60 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk58 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk56 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk54 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk52 ) ) ) )
| ( B @ ( A @ ( sk37 @ sk50 ) ) )
| ( B @ ( sk37 @ ( A @ sk48 ) ) )
| ( B @ ( sk37 @ ( A @ sk46 ) ) )
| ( B @ ( sk37 @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( sk37 @ ( A @ ( sk38 @ sk63 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[1904:[bind(A,$thf( I @ ( sk37 @ ( G @ ( sk38 @ sk63 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( sk37 )),bind(D,$thf( G )),bind(E,$thf( sk38 ))]]) ).
thf(1941,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk37 @ sk62 ) ) )
| ( B @ ( A @ ( sk38 @ ( sk37 @ sk60 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk58 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk56 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk54 ) ) ) )
| ( B @ ( A @ ( sk37 @ ( sk38 @ sk52 ) ) ) )
| ( B @ ( A @ ( sk37 @ sk50 ) ) )
| ( B @ ( sk37 @ ( A @ sk48 ) ) )
| ( B @ ( sk37 @ ( A @ sk46 ) ) )
| ( B @ ( sk37 @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( sk37 @ ( A @ ( sk38 @ sk63 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[1905]) ).
thf(3447,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,94]) ).
thf(3448,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ white ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3447]) ).
thf(3449,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ white ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3448:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3462,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( A @ sk13 ) @ white ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3449]) ).
thf(20164,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ city ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1564]) ).
thf(20165,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk4 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ city ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20164]) ).
thf(20166,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ city ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20165:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(20257,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ city ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20166]) ).
thf(2788,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,98]) ).
thf(2789,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2788]) ).
thf(2790,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk51 ) ) @ hollywood ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2789:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2821,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk51 ) ) @ hollywood ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2790]) ).
thf(257,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( A @ lonely ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,97]) ).
thf(258,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk6 @ ( A @ lonely ) )
| ~ sk1 ),
inference(simp,[status(thm)],[257]) ).
thf(262,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( A @ lonely ) ) ),
inference(simp,[status(thm)],[258]) ).
thf(263,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( sk3 @ lonely ) ) ),
inference(simp,[status(thm)],[262]) ).
thf(2780,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,149]) ).
thf(2781,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2780]) ).
thf(2782,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ chevy ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2781:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2831,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ chevy ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2782]) ).
thf(976,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ car ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,148]) ).
thf(977,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ car ) )
| sk1 ),
inference(simp,[status(thm)],[976]) ).
thf(992,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk38 @ ( A @ car ) )
| sk1 ),
inference(simp,[status(thm)],[977]) ).
thf(993,plain,
( ( sk35 != sk34 )
| ( sk38 @ ( sk35 @ car ) )
| sk1 ),
inference(simp,[status(thm)],[992]) ).
thf(1016,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( E @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,116]) ).
thf(1017,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( E @ event ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1016]) ).
thf(1018,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1017:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1053,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ event ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1018]) ).
thf(22321,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,94]) ).
thf(22322,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ white ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22321]) ).
thf(22323,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ white ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22322:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22355,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ white ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22323]) ).
thf(2215,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,170]) ).
thf(2216,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2215]) ).
thf(2217,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2216:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(2224,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2217]) ).
thf(435,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,99]) ).
thf(436,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[435]) ).
thf(437,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[436:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(441,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[437]) ).
thf(3327,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( E @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,158]) ).
thf(3328,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( E @ in ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3327]) ).
thf(3329,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ in ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3328:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3344,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ in ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3329]) ).
thf(1769,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,125]) ).
thf(1770,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1769]) ).
thf(1771,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1770:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1869,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1771]) ).
thf(3726,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,144]) ).
thf(3727,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3726]) ).
thf(3728,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3727:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3774,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3728]) ).
thf(646,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,125]) ).
thf(647,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[646]) ).
thf(648,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[647:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(673,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ city ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[648]) ).
thf(4871,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,167]) ).
thf(4872,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ street ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4871]) ).
thf(4873,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk21 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4872:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4905,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk21 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4873]) ).
thf(180,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ hollywood ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[177,34]) ).
thf(181,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ hollywood ) ) ),
inference(simp,[status(thm)],[180]) ).
thf(182,plain,
( ~ sk1
| ( sk4 @ ( sk3 @ sk66 @ hollywood ) ) ),
inference(pattern_uni,[status(thm)],[181:[bind(A,$thf( sk3 )),bind(B,$thf( sk3 @ sk66 ))]]) ).
thf(2175,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,170]) ).
thf(2176,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( E @ down ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2175]) ).
thf(2177,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2176:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(2219,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ down ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2177]) ).
thf(5011,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,171]) ).
thf(5012,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5011]) ).
thf(5013,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5012:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5030,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5013]) ).
thf(457,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( A @ street ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,106]) ).
thf(458,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( A @ street ) )
| sk1 ),
inference(simp,[status(thm)],[457]) ).
thf(467,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk39 @ ( A @ street ) )
| sk1 ),
inference(simp,[status(thm)],[458]) ).
thf(470,plain,
( ( sk35 != sk34 )
| ( sk39 @ ( sk35 @ street ) )
| sk1 ),
inference(simp,[status(thm)],[467]) ).
thf(4070,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk5 @ ( D @ event ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,116]) ).
thf(4071,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk5 @ ( D @ event ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4070]) ).
thf(4072,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4071:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4132,plain,
! [C: $i,B: $i,A: $i] :
( ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ event ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4072]) ).
thf(1305,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( E @ city ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,175]) ).
thf(1306,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( E @ city ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1305]) ).
thf(1307,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ city ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1306:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(1336,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk4 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ city ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1307]) ).
thf(22705,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ car ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3089]) ).
thf(22706,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ car ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22705]) ).
thf(22707,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ car ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22706:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22764,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ car ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22707]) ).
thf(3721,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,149]) ).
thf(3722,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3721]) ).
thf(3723,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3722:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3769,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3723]) ).
thf(5266,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,148]) ).
thf(5267,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5266]) ).
thf(5268,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5267:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5319,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ car ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5268]) ).
thf(1887,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,119]) ).
thf(1888,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1887]) ).
thf(1889,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1888:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1934,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ barrel ) ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1889]) ).
thf(6434,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ old ) )
!= ( D @ ( B @ ( C @ ( D @ sk23 ) ) @ old ) ) )
| ~ sk1
| ~ ( B @ ( D @ ( C @ sk22 ) ) )
| ~ $true
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[127,168]) ).
thf(6435,plain,
! [D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk7 @ ( A @ old ) )
!= ( D @ ( B @ ( C @ ( D @ sk23 ) ) @ old ) ) )
| ~ ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[6434]) ).
thf(6436,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk7 @ ( A @ sk22 ) ) )
| ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[6435:[bind(A,$thf( G @ ( F @ ( sk7 @ sk23 ) ) )),bind(B,$thf( G )),bind(C,$thf( F )),bind(D,$thf( sk7 ))]]) ).
thf(6452,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk7 @ ( A @ sk22 ) ) )
| ( B @ ( A @ ( sk7 @ sk20 ) ) )
| ( B @ ( A @ ( sk7 @ sk18 ) ) )
| ( B @ ( A @ ( sk7 @ sk16 ) ) )
| ( B @ ( A @ ( sk7 @ sk14 ) ) )
| ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( B @ ( A @ ( sk7 @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[6436]) ).
thf(8580,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( sk7 @ ( D @ sk22 ) ) )
| ( E @ ( D @ ( sk7 @ sk20 ) ) )
| ( E @ ( D @ ( sk7 @ sk18 ) ) )
| ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,6452]) ).
thf(8581,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( D @ ( sk7 @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( E @ ( sk7 @ ( D @ sk22 ) ) )
| ( E @ ( D @ ( sk7 @ sk20 ) ) )
| ( E @ ( D @ ( sk7 @ sk18 ) ) )
| ( E @ ( D @ ( sk7 @ sk16 ) ) )
| ( E @ ( D @ ( sk7 @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[8580]) ).
thf(8582,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( sk7 @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( sk7 @ sk20 ) ) )
| ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk7 @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( sk7 @ sk20 ) ) )
| ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[8581:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk7 )),bind(D,$thf( B )),bind(E,$thf( A ))]]) ).
thf(8696,plain,
! [B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( sk7 @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( sk7 @ sk20 ) ) )
| ( A @ ( B @ ( sk7 @ sk18 ) ) )
| ( A @ ( B @ ( sk7 @ sk16 ) ) )
| ( A @ ( B @ ( sk7 @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[8582]) ).
thf(4102,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,123]) ).
thf(4103,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ car ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4102]) ).
thf(4104,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4103:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4133,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ car ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4104]) ).
thf(3319,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,127]) ).
thf(3320,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ old ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3319]) ).
thf(3321,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3320:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3356,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ old ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3321]) ).
thf(575,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,125]) ).
thf(576,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[575]) ).
thf(577,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk49 ) ) @ city ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[576:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(600,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk49 ) ) @ city ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[577]) ).
thf(6207,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,107]) ).
thf(6208,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6207]) ).
thf(6209,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6208:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6213,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6209]) ).
thf(2686,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,149]) ).
thf(2687,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2686]) ).
thf(2688,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2687:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2728,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2688]) ).
thf(13155,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,11834]) ).
thf(13156,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[13155]) ).
thf(13416,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk11 )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) ) )
| ( sk3 != sk3 )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[13156]) ).
thf(13481,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk11 )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[13416]) ).
thf(2903,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( C @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,106]) ).
thf(2904,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( C @ street ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2903]) ).
thf(2905,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( B @ ( A @ sk45 ) @ street ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2904:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2975,plain,
! [B: $i,A: $i] :
( ( sk39 @ ( B @ ( A @ sk45 ) @ street ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2905]) ).
thf(4407,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,125]) ).
thf(4408,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4407]) ).
thf(4409,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4408:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4488,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4409]) ).
thf(1430,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,125]) ).
thf(1431,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1430]) ).
thf(1432,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1431:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1485,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1432]) ).
thf(1044,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,94]) ).
thf(1045,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ white ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1044]) ).
thf(1046,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1045:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1052,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ white ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1046]) ).
thf(1071,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,149]) ).
thf(1072,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1071]) ).
thf(1073,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1072:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1094,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1073]) ).
thf(78,plain,
! [A: $i] :
( ~ ( A @ sk42 )
| ~ ( A @ ( A @ sk43 @ city ) )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(111,plain,
! [A: $i] :
( ~ ( A @ sk42 )
| ~ ( A @ ( A @ sk43 @ city ) )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[78]) ).
thf(1580,plain,
! [B: $i,A: '$world'] :
( ( ( sk36 @ ( A @ city ) )
!= ( B @ ( B @ sk43 @ city ) ) )
| ~ ( B @ sk42 )
| ~ $true
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[125,111]) ).
thf(1581,plain,
! [B: $i,A: '$world'] :
( ( ( sk36 @ ( A @ city ) )
!= ( B @ ( B @ sk43 @ city ) ) )
| ~ ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[1580]) ).
thf(1582,plain,
( ~ ( sk36 @ sk42 )
| ( sk36 @ sk40 )
| ~ ( sk36 @ sk43 @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[1581:[bind(A,$thf( sk36 @ sk43 )),bind(B,$thf( sk36 ))]]) ).
thf(2434,plain,
! [A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( sk36 @ sk43 @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( sk36 @ sk42 )
| ( sk36 @ sk40 )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,1582]) ).
thf(2435,plain,
! [A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( sk36 @ sk43 @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( sk36 @ sk42 )
| ( sk36 @ sk40 )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2434]) ).
thf(2436,plain,
( ~ ( sk36 @ sk42 )
| ( sk36 @ sk40 )
| ~ ( sk36 @ sk42 )
| ( sk36 @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2435:[bind(A,$thf( sk36 ))]]) ).
thf(2511,plain,
( ~ ( sk36 @ sk42 )
| ( sk36 @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2436]) ).
thf(4618,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,170]) ).
thf(4619,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4618]) ).
thf(4620,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ down ) ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4619:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4695,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ sk47 ) ) @ down ) ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4620]) ).
thf(3177,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,125]) ).
thf(3178,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ city ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3177]) ).
thf(3179,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3178:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3256,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ city ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3179]) ).
thf(593,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ city ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,125]) ).
thf(594,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ city ) )
| sk1 ),
inference(simp,[status(thm)],[593]) ).
thf(595,plain,
( ( sk36 @ ( sk35 @ sk66 @ city ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[594:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(6157,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,137]) ).
thf(6158,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ chevy ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6157]) ).
thf(6159,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6158:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6220,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk23 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6159]) ).
thf(27411,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,144]) ).
thf(27412,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( D @ event ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27411]) ).
thf(27413,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ event ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27412:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27469,plain,
! [C: $i,B: $i,A: $i] :
( ( sk37 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ event ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27413]) ).
thf(1900,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[169,119]) ).
thf(1901,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1900]) ).
thf(1902,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ barrel ) ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1901:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk65 ) ) ) ))]]) ).
thf(1940,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ barrel ) ) )
| ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1902]) ).
thf(3394,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( C @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,97]) ).
thf(3395,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( C @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3394]) ).
thf(3396,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( A @ sk13 ) @ lonely ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3395:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3452,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( A @ sk13 ) @ lonely ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3396]) ).
thf(343,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,99]) ).
thf(344,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ lonely ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[343]) ).
thf(345,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ lonely ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[344:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(363,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ lonely ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[345]) ).
thf(2807,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,171]) ).
thf(2808,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2807]) ).
thf(2809,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ old ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2808:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2828,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk51 ) ) @ old ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2809]) ).
thf(657,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,98]) ).
thf(658,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[657]) ).
thf(659,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[658:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(671,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[659]) ).
thf(2538,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ dirty ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,110]) ).
thf(2539,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ dirty ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2538]) ).
thf(2540,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ dirty ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2539:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2611,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ dirty ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2540]) ).
thf(872,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,144]) ).
thf(873,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[872]) ).
thf(874,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[873:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(891,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[874]) ).
thf(3616,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,151]) ).
thf(3617,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3616]) ).
thf(3618,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3617:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3625,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3618]) ).
thf(1825,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[525,113]) ).
thf(1826,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1825]) ).
thf(1827,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1826:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1866,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ way ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1827]) ).
thf(762,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( A @ way ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,159]) ).
thf(763,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk6 @ ( A @ way ) )
| ~ sk1 ),
inference(simp,[status(thm)],[762]) ).
thf(769,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( A @ way ) ) ),
inference(simp,[status(thm)],[763]) ).
thf(771,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk6 @ ( sk3 @ way ) ) ),
inference(simp,[status(thm)],[769]) ).
thf(833,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ way ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,103]) ).
thf(834,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ way ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[833]) ).
thf(835,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk41 @ way ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[834:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(845,plain,
! [A: $i] :
( ( sk39 @ ( A @ sk41 @ way ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[835]) ).
thf(20638,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( E @ ( sk6 @ ( C @ ( D @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ( E @ ( C @ ( D @ ( sk6 @ sk26 ) ) ) )
| ( E @ ( C @ ( D @ ( sk6 @ sk24 ) ) ) )
| ( E @ ( C @ ( D @ sk22 ) ) )
| ( E @ ( D @ ( C @ sk20 ) ) )
| ( E @ ( D @ ( C @ sk18 ) ) )
| ( E @ ( D @ ( C @ sk16 ) ) )
| ( E @ ( D @ ( C @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,20594]) ).
thf(20639,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( E @ ( sk6 @ ( C @ ( D @ sk28 ) ) ) ) )
| ( E @ ( C @ ( D @ ( sk6 @ sk26 ) ) ) )
| ( E @ ( C @ ( D @ ( sk6 @ sk24 ) ) ) )
| ( E @ ( C @ ( D @ sk22 ) ) )
| ( E @ ( D @ ( C @ sk20 ) ) )
| ( E @ ( D @ ( C @ sk18 ) ) )
| ( E @ ( D @ ( C @ sk16 ) ) )
| ( E @ ( D @ ( C @ sk14 ) ) )
| ( E @ ( D @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20638]) ).
thf(20640,plain,
! [A: $i] :
( ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20639:[bind(A,$thf( A )),bind(B,$thf( sk6 )),bind(C,$thf( sk7 )),bind(D,$thf( sk5 )),bind(E,$thf( A ))]]) ).
thf(20737,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20640]) ).
thf(20772,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk26 ) ) ) )
!= ( D @ ( B @ ( C @ ( sk6 @ sk26 ) ) ) ) )
| ~ sk1
| ~ $true
| ( D @ ( B @ ( C @ ( sk6 @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[20737,11121]) ).
thf(20773,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk26 ) ) ) )
!= ( D @ ( B @ ( C @ ( sk6 @ sk26 ) ) ) ) )
| ( D @ ( B @ ( C @ ( sk6 @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20772]) ).
thf(20774,plain,
! [A: $i] :
( ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20773:[bind(A,$thf( A )),bind(B,$thf( sk7 )),bind(C,$thf( sk5 )),bind(D,$thf( A ))]]) ).
thf(20812,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20774]) ).
thf(1394,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk6 @ ( A @ street ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk25 ) ) ) @ street ) ) )
| ~ sk1
| ~ ( B @ ( D @ ( C @ ( E @ sk24 ) ) ) )
| ~ $true
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(paramod_ordered,[status(thm)],[167,108]) ).
thf(1395,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk6 @ ( A @ street ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk25 ) ) ) @ street ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk24 ) ) ) )
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[1394]) ).
thf(1396,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ ( sk6 @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(pattern_uni,[status(thm)],[1395:[bind(A,$thf( I @ ( H @ ( G @ ( sk6 @ sk25 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( H )),bind(D,$thf( G )),bind(E,$thf( sk6 ))]]) ).
thf(1401,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( C @ ( B @ ( A @ ( sk6 @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) ) ),
inference(simp,[status(thm)],[1396]) ).
thf(9830,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk6 @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk6 @ sk24 ) ) ) )
| ( G @ ( E @ ( F @ sk22 ) ) )
| ( G @ ( F @ ( E @ sk20 ) ) )
| ( G @ ( F @ ( E @ sk18 ) ) )
| ( G @ ( F @ ( E @ sk16 ) ) )
| ( G @ ( F @ ( E @ sk14 ) ) )
| ( G @ ( F @ sk12 ) )
| ( G @ sk10 )
| ( G @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,1401]) ).
thf(9831,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk6 @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk6 @ sk24 ) ) ) )
| ( G @ ( E @ ( F @ sk22 ) ) )
| ( G @ ( F @ ( E @ sk20 ) ) )
| ( G @ ( F @ ( E @ sk18 ) ) )
| ( G @ ( F @ ( E @ sk16 ) ) )
| ( G @ ( F @ ( E @ sk14 ) ) )
| ( G @ ( F @ sk12 ) )
| ( G @ sk10 )
| ( G @ sk8 )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[9830]) ).
thf(9832,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[9831:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk6 )),bind(E,$thf( C )),bind(F,$thf( B )),bind(G,$thf( A ))]]) ).
thf(9906,plain,
! [C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( C @ ( B @ ( sk6 @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[9832]) ).
thf(20874,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
!= ( B @ ( D @ ( C @ ( sk6 @ sk24 ) ) ) ) )
| ~ sk1
| ~ $true
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[20812,9906]) ).
thf(20875,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( sk6 @ sk24 ) ) ) )
!= ( B @ ( D @ ( C @ ( sk6 @ sk24 ) ) ) ) )
| ( B @ ( D @ ( C @ sk22 ) ) )
| ( B @ ( C @ ( D @ sk20 ) ) )
| ( B @ ( C @ ( D @ sk18 ) ) )
| ( B @ ( C @ ( D @ sk16 ) ) )
| ( B @ ( C @ ( D @ sk14 ) ) )
| ( B @ ( C @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20874]) ).
thf(20876,plain,
! [A: $i] :
( ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[20875:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( sk5 )),bind(D,$thf( sk7 ))]]) ).
thf(20888,plain,
! [A: $i] :
( ~ sk1
| ~ ( A @ ( sk6 @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[20876]) ).
thf(1996,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,134]) ).
thf(1997,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1996]) ).
thf(1998,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1997:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(2013,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1998]) ).
thf(225,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( A @ white ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,94]) ).
thf(226,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk7 @ ( A @ white ) )
| ~ sk1 ),
inference(simp,[status(thm)],[225]) ).
thf(230,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( A @ white ) ) ),
inference(simp,[status(thm)],[226]) ).
thf(231,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk3 @ white ) ) ),
inference(simp,[status(thm)],[230]) ).
thf(4113,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,158]) ).
thf(4114,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4113]) ).
thf(4115,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4114:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4138,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk15 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4115]) ).
thf(3404,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( C @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,34]) ).
thf(3405,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( C @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3404]) ).
thf(3406,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( A @ sk13 ) @ hollywood ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3405:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3457,plain,
! [B: $i,A: $i] :
( ( sk4 @ ( B @ ( A @ sk13 ) @ hollywood ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3406]) ).
thf(4657,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,98]) ).
thf(4658,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ hollywood ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4657]) ).
thf(4659,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk47 ) ) @ hollywood ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4658:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4698,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ sk47 ) ) @ hollywood ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4659]) ).
thf(22729,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ dirty ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[18712,3086]) ).
thf(22730,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ dirty ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22729]) ).
thf(22731,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ dirty ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22730:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22760,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ dirty ) )
| ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ dirty ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22731]) ).
thf(480,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ car ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,123]) ).
thf(481,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ car ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[480]) ).
thf(482,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ car ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[481:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(495,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ car ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[482]) ).
thf(22217,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ way ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3084]) ).
thf(22218,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ way ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22217]) ).
thf(22219,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22218:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22334,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22219]) ).
thf(3334,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,151]) ).
thf(3335,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( E @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3334]) ).
thf(3336,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3335:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3346,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ barrel ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3336]) ).
thf(3987,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,171]) ).
thf(3988,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3987]) ).
thf(3989,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3988:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4006,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3989]) ).
thf(1282,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,171]) ).
thf(1283,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1282]) ).
thf(1284,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1283:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(1289,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ old ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1284]) ).
thf(815,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ city ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,125]) ).
thf(816,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( B @ city ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[815]) ).
thf(817,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk41 @ city ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[816:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(844,plain,
! [A: $i] :
( ( sk36 @ ( A @ sk41 @ city ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[817]) ).
thf(5258,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,129]) ).
thf(5259,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5258]) ).
thf(5260,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5259:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5315,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5260]) ).
thf(4855,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,34]) ).
thf(4856,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4855]) ).
thf(4857,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk21 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4856:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4913,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk21 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4857]) ).
thf(312,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( A @ dirty ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,110]) ).
thf(313,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk7 @ ( A @ dirty ) )
| ~ sk1 ),
inference(simp,[status(thm)],[312]) ).
thf(317,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( A @ dirty ) ) ),
inference(simp,[status(thm)],[313]) ).
thf(319,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk3 @ dirty ) ) ),
inference(simp,[status(thm)],[317]) ).
thf(1455,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,98]) ).
thf(1456,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1455]) ).
thf(1457,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1456:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1481,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1457]) ).
thf(2791,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,103]) ).
thf(2792,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ way ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2791]) ).
thf(2793,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ way ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2792:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2823,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ way ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2793]) ).
thf(183,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( A @ hollywood ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,34]) ).
thf(184,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk4 @ ( A @ hollywood ) )
| ~ sk1 ),
inference(simp,[status(thm)],[183]) ).
thf(185,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk4 @ ( A @ hollywood ) ) ),
inference(simp,[status(thm)],[184]) ).
thf(186,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk4 @ ( sk3 @ hollywood ) ) ),
inference(simp,[status(thm)],[185]) ).
thf(2895,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,115]) ).
thf(2896,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ white ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2895]) ).
thf(2897,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ white ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2896:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2971,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ white ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2897]) ).
thf(3927,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,115]) ).
thf(3928,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3927]) ).
thf(3929,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3928:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4010,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ white ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3929]) ).
thf(403,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( A @ way ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,103]) ).
thf(404,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk39 @ ( A @ way ) )
| sk1 ),
inference(simp,[status(thm)],[403]) ).
thf(413,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk39 @ ( A @ way ) )
| sk1 ),
inference(simp,[status(thm)],[404]) ).
thf(418,plain,
( ( sk35 != sk34 )
| ( sk39 @ ( sk35 @ way ) )
| sk1 ),
inference(simp,[status(thm)],[413]) ).
thf(3234,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,171]) ).
thf(3235,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3234]) ).
thf(3236,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3235:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3252,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3236]) ).
thf(27367,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,125]) ).
thf(27368,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( D @ city ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27367]) ).
thf(27369,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ city ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27368:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27462,plain,
! [C: $i,B: $i,A: $i] :
( ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ city ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27369]) ).
thf(936,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,94]) ).
thf(937,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ white ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[936]) ).
thf(938,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ white ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[937:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(946,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ white ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[938]) ).
thf(1064,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,149]) ).
thf(1065,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1064]) ).
thf(1066,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ chevy ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1065:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(1101,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ chevy ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1066]) ).
thf(3595,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,167]) ).
thf(3596,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ street ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3595]) ).
thf(3597,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk17 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3596:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3630,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk17 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3597]) ).
thf(89,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ down ) ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(114,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ down ) ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[89]) ).
thf(2561,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( B @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,34]) ).
thf(2562,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( B @ hollywood ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2561]) ).
thf(2563,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk11 @ hollywood ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2562:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2608,plain,
! [A: $i] :
( ( sk4 @ ( A @ sk11 @ hollywood ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2563]) ).
thf(1208,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[105,107]) ).
thf(1209,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ sk1
| ~ ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1208]) ).
thf(1210,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1209:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk31 ) ) ) ))]]) ).
thf(1244,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk31 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[1210]) ).
thf(978,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ car ) )
| ~ $true
| sk1
| ~ ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[140,148]) ).
thf(979,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk41 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ car ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[978]) ).
thf(980,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ car ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[979:[bind(A,$thf( C )),bind(B,$thf( C @ sk41 ))]]) ).
thf(995,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk41 @ car ) )
| ~ ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[980]) ).
thf(6645,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ white ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk57 ) ) ) @ white ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk56 ) ) ) )
| ~ $true
| ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(paramod_ordered,[status(thm)],[115,174]) ).
thf(6646,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '$world'] :
( ( ( sk38 @ ( A @ white ) )
!= ( E @ ( B @ ( C @ ( D @ ( E @ sk57 ) ) ) @ white ) ) )
| ~ ( B @ ( D @ ( C @ ( E @ sk56 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk54 ) ) ) )
| ( B @ ( D @ ( C @ ( E @ sk52 ) ) ) )
| ( B @ ( D @ ( C @ sk50 ) ) )
| ( B @ ( C @ ( D @ sk48 ) ) )
| ( B @ ( C @ ( D @ sk46 ) ) )
| ( B @ ( C @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( A @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[6645]) ).
thf(6647,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[6646:[bind(A,$thf( I @ ( H @ ( G @ ( sk38 @ sk57 ) ) ) )),bind(B,$thf( I )),bind(C,$thf( H )),bind(D,$thf( G )),bind(E,$thf( sk38 ))]]) ).
thf(6708,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( C @ ( A @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| ~ ( C @ ( B @ ( A @ ( sk38 @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| sk1 ),
inference(simp,[status(thm)],[6647]) ).
thf(9959,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk56 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,6708]) ).
thf(9960,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( G @ ( F @ ( E @ ( sk38 @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) ) )
| ~ ( G @ ( E @ ( F @ ( sk38 @ sk56 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk54 ) ) ) )
| ( G @ ( E @ ( F @ ( sk38 @ sk52 ) ) ) )
| ( G @ ( E @ ( F @ sk50 ) ) )
| ( G @ ( F @ ( E @ sk48 ) ) )
| ( G @ ( F @ ( E @ sk46 ) ) )
| ( G @ ( F @ sk44 ) )
| ( G @ sk42 )
| ( G @ sk40 )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[9959]) ).
thf(9961,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| ~ ( A @ ( C @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[9960:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk38 )),bind(E,$thf( C )),bind(F,$thf( B )),bind(G,$thf( A ))]]) ).
thf(10077,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( sk38 @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( sk38 @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[9961]) ).
thf(6535,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( D @ hollywood ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,34]) ).
thf(6536,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( D @ hollywood ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6535]) ).
thf(6537,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk19 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6536:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6584,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( C @ ( B @ ( A @ sk19 ) ) @ hollywood ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6537]) ).
thf(537,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,115]) ).
thf(538,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ white ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[537]) ).
thf(539,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ white ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[538:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(568,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk49 ) ) @ white ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[539]) ).
thf(232,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ white ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,94]) ).
thf(233,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ white ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[232]) ).
thf(234,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ white ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(246,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ white ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[234]) ).
thf(1260,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[361,171]) ).
thf(1261,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1260]) ).
thf(1262,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1261:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1294,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ lonely ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1262]) ).
thf(4992,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,98]) ).
thf(4993,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4992]) ).
thf(4994,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4993:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5023,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4994]) ).
thf(6575,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,107]) ).
thf(6576,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6575]) ).
thf(6577,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6576:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6586,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk19 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6577]) ).
thf(27391,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,129]) ).
thf(27392,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ dirty ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27391]) ).
thf(27393,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ dirty ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27392:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27459,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ dirty ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27393]) ).
thf(13110,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,11834]) ).
thf(13111,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[13110]) ).
thf(13365,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk9 )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) ) )
| ( sk3 != sk3 )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ~ ( A @ sk8 )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[13111]) ).
thf(13428,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk9 )
!= ( C @ ( sk5 @ ( sk7 @ ( B @ sk31 ) ) ) ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk25 ) ) ) @ street ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ way ) )
| ~ ( B @ ( C @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ ( C @ ( B @ ( sk5 @ sk30 ) ) )
| ~ sk1
| ~ ( A @ sk8 )
| ( C @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( C @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( C @ ( sk5 @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[13365]) ).
thf(2167,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,170]) ).
thf(2168,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2167]) ).
thf(2169,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ down ) ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2168:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(2230,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ down ) ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2169]) ).
thf(22266,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ old ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3091]) ).
thf(22267,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk7 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ old ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22266]) ).
thf(22268,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ old ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22267:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22363,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ old ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22268]) ).
thf(1990,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,134]) ).
thf(1991,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1990]) ).
thf(1992,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1991:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(2009,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1992]) ).
thf(1751,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,106]) ).
thf(1752,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1751]) ).
thf(1753,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1752:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1861,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ street ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1753]) ).
thf(4421,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,129]) ).
thf(4422,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4421]) ).
thf(4423,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4422:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4478,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4423]) ).
thf(2054,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( A @ in ) ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,158]) ).
thf(2055,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( A @ in ) ) )
| ~ sk1 ),
inference(simp,[status(thm)],[2054]) ).
thf(2061,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk4 @ ( sk5 @ ( A @ in ) ) ) ),
inference(simp,[status(thm)],[2055]) ).
thf(2066,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk4 @ ( sk5 @ ( sk3 @ in ) ) ) ),
inference(simp,[status(thm)],[2061]) ).
thf(2001,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( B @ in ) ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,134]) ).
thf(2002,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( B @ in ) ) )
| sk1 ),
inference(simp,[status(thm)],[2001]) ).
thf(2003,plain,
( ( sk36 @ ( sk37 @ ( sk35 @ sk66 @ in ) ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[2002:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(21778,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ way ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,1573]) ).
thf(21779,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( F @ ( C @ ( D @ ( E @ sk28 ) ) ) ) )
| ( sk6 @ ( F @ ( E @ ( D @ ( C @ sk29 ) ) ) @ way ) )
| ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21778]) ).
thf(21780,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ way ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[21779:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(21879,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ way ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[21780]) ).
thf(957,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[102,148]) ).
thf(958,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk57 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ car ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[957]) ).
thf(959,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[958:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk57 ) ) ) ))]]) ).
thf(999,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk57 ) ) ) @ car ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[959]) ).
thf(2473,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( B @ event ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,144]) ).
thf(2474,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( B @ event ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2473]) ).
thf(2475,plain,
! [A: $i] :
( ( sk37 @ ( A @ sk43 @ event ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2474:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2517,plain,
! [A: $i] :
( ( sk37 @ ( A @ sk43 @ event ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2475]) ).
thf(3229,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,99]) ).
thf(3230,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3229]) ).
thf(3231,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3230:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3264,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3231]) ).
thf(2459,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[124,129]) ).
thf(2460,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk43 @ ( sk35 @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( B @ dirty ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2459]) ).
thf(2461,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ dirty ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2460:[bind(A,$thf( C )),bind(B,$thf( C @ sk43 ))]]) ).
thf(2522,plain,
! [A: $i] :
( ( sk38 @ ( A @ sk43 @ dirty ) )
| ~ ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2461]) ).
thf(3420,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( C @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,167]) ).
thf(3421,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( C @ street ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3420]) ).
thf(3422,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( A @ sk13 ) @ street ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3421:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3464,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( A @ sk13 ) @ street ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3422]) ).
thf(348,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,99]) ).
thf(349,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[348]) ).
thf(350,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[349:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(364,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[350]) ).
thf(1850,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[364,113]) ).
thf(1851,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
!= ( E @ ( G @ ( H @ ( F @ sk60 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk58 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk56 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk54 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk52 ) ) ) )
| ( E @ ( G @ ( F @ sk50 ) ) )
| ( E @ ( F @ ( G @ sk48 ) ) )
| ( E @ ( F @ ( G @ sk46 ) ) )
| ( E @ ( F @ sk44 ) )
| ( E @ sk42 )
| ( E @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1850]) ).
thf(1852,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1851:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A ))]]) ).
thf(1876,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ lonely ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1852]) ).
thf(1638,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( B @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,151]) ).
thf(1639,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( B @ barrel ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1638]) ).
thf(1640,plain,
! [A: $i] :
( ( sk7 @ ( sk5 @ ( A @ sk9 @ barrel ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1639:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(1673,plain,
! [A: $i] :
( ( sk7 @ ( sk5 @ ( A @ sk9 @ barrel ) ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[1640]) ).
thf(586,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk36 @ ( A @ city ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,125]) ).
thf(587,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk36 @ ( A @ city ) )
| sk1 ),
inference(simp,[status(thm)],[586]) ).
thf(599,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk36 @ ( A @ city ) )
| sk1 ),
inference(simp,[status(thm)],[587]) ).
thf(603,plain,
( ( sk35 != sk34 )
| ( sk36 @ ( sk35 @ city ) )
| sk1 ),
inference(simp,[status(thm)],[599]) ).
thf(1090,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,149]) ).
thf(1091,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1090]) ).
thf(1092,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1091:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(1097,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ chevy ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1092]) ).
thf(2666,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,106]) ).
thf(2667,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2666]) ).
thf(2668,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2667:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2736,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2668]) ).
thf(1985,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,134]) ).
thf(1986,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1985]) ).
thf(1987,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ in ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1986:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2008,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ in ) ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1987]) ).
thf(6204,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,151]) ).
thf(6205,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( sk5 @ ( D @ barrel ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6204]) ).
thf(6206,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6205:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6226,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( sk5 @ ( C @ ( B @ ( A @ sk23 ) ) @ barrel ) ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6206]) ).
thf(1439,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[472,129]) ).
thf(1440,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1439]) ).
thf(1441,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1440:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1480,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ street ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1441]) ).
thf(548,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ white ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,115]) ).
thf(549,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk38 @ ( A @ white ) )
| sk1 ),
inference(simp,[status(thm)],[548]) ).
thf(561,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk38 @ ( A @ white ) )
| sk1 ),
inference(simp,[status(thm)],[549]) ).
thf(564,plain,
( ( sk35 != sk34 )
| ( sk38 @ ( sk35 @ white ) )
| sk1 ),
inference(simp,[status(thm)],[561]) ).
thf(1807,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,144]) ).
thf(1808,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1807]) ).
thf(1809,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1808:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1859,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ event ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1809]) ).
thf(3337,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[130,107]) ).
thf(3338,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk25 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( E @ down ) ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3337]) ).
thf(3339,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3338:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk25 ) ) ) ))]]) ).
thf(3347,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( D @ ( C @ ( B @ ( A @ sk25 ) ) ) @ down ) ) )
| ~ sk1
| ~ ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[3339]) ).
thf(356,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ lonely ) )
| ~ $true
| sk1 ),
inference(paramod_ordered,[status(thm)],[177,99]) ).
thf(357,plain,
! [B: '$world',A: '$world'] :
( ( ( A @ sk66 @ ( A @ '$accessible_world' ) )
!= ( B @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( B @ lonely ) )
| sk1 ),
inference(simp,[status(thm)],[356]) ).
thf(358,plain,
( ( sk39 @ ( sk35 @ sk66 @ lonely ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[357:[bind(A,$thf( sk35 )),bind(B,$thf( sk35 @ sk66 ))]]) ).
thf(1326,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( A @ city ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,175]) ).
thf(1327,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk4 @ ( A @ city ) )
| ~ sk1 ),
inference(simp,[status(thm)],[1326]) ).
thf(1333,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk4 @ ( A @ city ) ) ),
inference(simp,[status(thm)],[1327]) ).
thf(1335,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk4 @ ( sk3 @ city ) ) ),
inference(simp,[status(thm)],[1333]) ).
thf(1509,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,109]) ).
thf(1510,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ sk28 ) ) ) ) )
| ( E @ ( F @ ( G @ ( H @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( E @ ( G @ ( F @ ( H @ sk26 ) ) ) )
| ( E @ ( G @ ( F @ ( H @ sk24 ) ) ) )
| ( E @ ( G @ ( F @ sk22 ) ) )
| ( E @ ( F @ ( G @ sk20 ) ) )
| ( E @ ( F @ ( G @ sk18 ) ) )
| ( E @ ( F @ ( G @ sk16 ) ) )
| ( E @ ( F @ ( G @ sk14 ) ) )
| ( E @ ( F @ sk12 ) )
| ( E @ sk10 )
| ( E @ sk8 )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1509]) ).
thf(1511,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[1510:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( A )),bind(F,$thf( B )),bind(G,$thf( C )),bind(H,$thf( D ))]]) ).
thf(1561,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( B @ ( C @ ( D @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[1511]) ).
thf(6551,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[172,167]) ).
thf(6552,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk19 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ street ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6551]) ).
thf(6553,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk19 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6552:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk19 ) ) ))]]) ).
thf(6590,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk19 ) ) @ street ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6553]) ).
thf(4956,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,115]) ).
thf(4957,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ white ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4956]) ).
thf(4958,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4957:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5036,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ white ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4958]) ).
thf(3710,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[712,129]) ).
thf(3711,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3710]) ).
thf(3712,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3711:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3765,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ dirty ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3712]) ).
thf(3569,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,137]) ).
thf(3570,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3569]) ).
thf(3571,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3570:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3633,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk17 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3571]) ).
thf(242,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[240]) ).
thf(1266,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[296,171]) ).
thf(1267,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1266]) ).
thf(1268,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1267:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1288,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ hollywood ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1268]) ).
thf(1169,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,149]) ).
thf(1170,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1169]) ).
thf(1171,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1170:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1197,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ chevy ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1171]) ).
thf(2583,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,127]) ).
thf(2584,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ old ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2583]) ).
thf(2585,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ old ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2584:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2619,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk11 @ old ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2585]) ).
thf(4885,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,158]) ).
thf(4886,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4885]) ).
thf(4887,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4886:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4912,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk21 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4887]) ).
thf(867,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk37 @ ( A @ event ) )
| ~ $true
| sk1
| sk1 ),
inference(paramod_ordered,[status(thm)],[49,144]) ).
thf(868,plain,
! [A: '$world'] :
( ( ( A @ ( sk35 @ '$accessible_world' ) )
!= ( sk35 @ ( sk34 @ '$accessible_world' ) ) )
| ( sk37 @ ( A @ event ) )
| sk1 ),
inference(simp,[status(thm)],[867]) ).
thf(883,plain,
! [A: '$world'] :
( ( A != sk35 )
| ( sk35 != sk34 )
| ( sk37 @ ( A @ event ) )
| sk1 ),
inference(simp,[status(thm)],[868]) ).
thf(886,plain,
( ( sk35 != sk34 )
| ( sk37 @ ( sk35 @ event ) )
| sk1 ),
inference(simp,[status(thm)],[883]) ).
thf(405,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[95,103]) ).
thf(406,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk53 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ way ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[405]) ).
thf(407,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[406:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk53 ) ) ) ))]]) ).
thf(415,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk53 ) ) ) @ way ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[407]) ).
thf(2689,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[566,144]) ).
thf(2690,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk37 @ ( E @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2689]) ).
thf(2691,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2690:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(2731,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ event ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ white ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2691]) ).
thf(4126,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ white ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[139,94]) ).
thf(4127,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk15 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ white ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4126]) ).
thf(4128,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4127:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk15 ) ) ))]]) ).
thf(4129,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk15 ) ) @ white ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4128]) ).
thf(2920,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ car ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[122,148]) ).
thf(2921,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk45 ) @ ( sk35 @ '$accessible_world' ) )
!= ( C @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( C @ car ) )
| ~ ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2920]) ).
thf(2922,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ car ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2921:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk45 ) ))]]) ).
thf(2966,plain,
! [B: $i,A: $i] :
( ( sk38 @ ( B @ ( A @ sk45 ) @ car ) )
| ~ ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2922]) ).
thf(27399,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,148]) ).
thf(27400,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ car ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27399]) ).
thf(27401,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ car ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27400:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27463,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ car ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27401]) ).
thf(3213,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[605,98]) ).
thf(3214,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3213]) ).
thf(3215,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3214:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(3259,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ city ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3215]) ).
thf(4464,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[994,171]) ).
thf(4465,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4464]) ).
thf(4466,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4465:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4484,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ old ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ car ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4466]) ).
thf(17,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ in ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ down ) ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(131,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ ( B @ ( C @ ( D @ sk65 ) ) ) @ in ) ) )
| ~ ( C @ ( B @ ( A @ ( B @ ( C @ ( D @ sk64 ) ) ) @ down ) ) )
| ( A @ ( C @ ( B @ sk62 ) ) )
| ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[17]) ).
thf(7389,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ lonely ) )
!= ( F @ ( D @ ( E @ ( F @ sk51 ) ) @ lonely ) ) )
| ~ ( D @ ( F @ ( E @ sk50 ) ) )
| ~ $true
| ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[2826,163]) ).
thf(7390,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk39 @ ( C @ ( B @ ( A @ sk51 ) ) @ lonely ) )
!= ( F @ ( D @ ( E @ ( F @ sk51 ) ) @ lonely ) ) )
| ~ ( D @ ( F @ ( E @ sk50 ) ) )
| ( D @ ( E @ ( F @ sk48 ) ) )
| ( D @ ( E @ ( F @ sk46 ) ) )
| ( D @ ( E @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[7389]) ).
thf(7391,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk39 @ ( A @ sk50 ) ) )
| ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| ~ ( B @ ( sk39 @ ( A @ sk50 ) ) )
| ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[7390:[bind(A,$thf( sk39 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( C )),bind(E,$thf( B )),bind(F,$thf( sk39 ))]]) ).
thf(7392,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( sk39 @ ( A @ sk50 ) ) )
| ( B @ ( A @ ( sk39 @ sk48 ) ) )
| ( B @ ( A @ ( sk39 @ sk46 ) ) )
| ( B @ ( A @ sk44 ) )
| ( B @ sk42 )
| ( B @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[7391]) ).
thf(27404,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ~ $true
| sk1
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[27322,149]) ).
thf(27405,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ chevy ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27404]) ).
thf(27406,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ chevy ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[27405:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ ( F @ ( sk38 @ sk61 ) ) ) ))]]) ).
thf(27465,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ ( sk38 @ sk61 ) ) ) @ chevy ) )
| ( sk39 @ ( C @ ( B @ ( A @ ( sk38 @ sk64 ) ) ) @ street ) )
| ( sk36 @ ( C @ ( B @ ( A @ ( sk38 @ sk65 ) ) ) @ hollywood ) )
| ( C @ ( A @ ( B @ sk62 ) ) )
| ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[27406]) ).
thf(11882,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ sk1
| ~ $true
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ lonely ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11087,143]) ).
thf(11883,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( sk7 @ ( sk5 @ sk28 ) ) ) )
!= ( C @ ( F @ ( E @ ( D @ sk28 ) ) ) ) )
| ~ ( F @ ( C @ ( D @ ( E @ ( F @ sk29 ) ) ) @ lonely ) )
| ( C @ ( E @ ( D @ ( F @ sk26 ) ) ) )
| ( C @ ( E @ ( D @ ( F @ sk24 ) ) ) )
| ( C @ ( E @ ( D @ sk22 ) ) )
| ( C @ ( D @ ( E @ sk20 ) ) )
| ( C @ ( D @ ( E @ sk18 ) ) )
| ( C @ ( D @ ( E @ sk16 ) ) )
| ( C @ ( D @ ( E @ sk14 ) ) )
| ( C @ ( D @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[11882]) ).
thf(11884,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[11883:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( sk5 )),bind(E,$thf( sk7 )),bind(F,$thf( B ))]]) ).
thf(11886,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ lonely ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[11884]) ).
thf(721,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( E @ chevy ) )
| ~ $true
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[133,137]) ).
thf(722,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk33 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( E @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( E @ chevy ) )
| ~ sk1
| ( A @ ( B @ ( C @ ( D @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( A @ ( D @ ( B @ sk30 ) ) )
| ( A @ ( D @ ( C @ ( B @ sk28 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk26 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk24 ) ) ) )
| ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[721]) ).
thf(723,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ chevy ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(pattern_uni,[status(thm)],[722:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk33 ) ) ) ))]]) ).
thf(740,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk7 @ ( D @ ( C @ ( B @ ( A @ sk33 ) ) ) @ chevy ) )
| ~ sk1
| ( D @ ( C @ ( B @ ( A @ sk32 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ( D @ ( A @ ( C @ sk30 ) ) )
| ( D @ ( A @ ( B @ ( C @ sk28 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk26 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk24 ) ) ) )
| ( D @ ( B @ ( C @ sk22 ) ) )
| ( D @ ( C @ ( B @ sk20 ) ) )
| ( D @ ( C @ ( B @ sk18 ) ) )
| ( D @ ( C @ ( B @ sk16 ) ) )
| ( D @ ( C @ ( B @ sk14 ) ) )
| ( D @ ( C @ sk12 ) )
| ( D @ sk10 )
| ( D @ sk8 ) ),
inference(simp,[status(thm)],[723]) ).
thf(429,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,98]) ).
thf(430,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[429]) ).
thf(431,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[430:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(442,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ hollywood ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[431]) ).
thf(6160,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( D @ lonely ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[157,97]) ).
thf(6161,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk23 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( D @ lonely ) )
| ~ sk1
| ~ ( A @ ( C @ ( B @ sk22 ) ) )
| ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[6160]) ).
thf(6162,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk23 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[6161:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk23 ) ) ))]]) ).
thf(6222,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( C @ ( B @ ( A @ sk23 ) ) @ lonely ) )
| ~ sk1
| ~ ( C @ ( A @ ( B @ sk22 ) ) )
| ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[6162]) ).
thf(4676,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[173,171]) ).
thf(4677,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk47 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( D @ old ) )
| ~ ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4676]) ).
thf(4678,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ old ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4677:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk47 ) ) ))]]) ).
thf(4691,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( C @ ( B @ ( A @ sk47 ) ) @ old ) )
| ~ ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4678]) ).
thf(4976,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[146,134]) ).
thf(4977,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk59 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( sk37 @ ( E @ in ) ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4976]) ).
thf(4978,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[4977:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk59 ) ) ) ))]]) ).
thf(5029,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk59 ) ) ) @ in ) ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[4978]) ).
thf(3413,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( C @ way ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[155,159]) ).
thf(3414,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( B @ sk13 ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( C @ way ) )
| ~ sk1
| ~ ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3413]) ).
thf(3415,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( A @ sk13 ) @ way ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3414:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( E @ ( D @ sk13 ) ))]]) ).
thf(3461,plain,
! [B: $i,A: $i] :
( ( sk6 @ ( B @ ( A @ sk13 ) @ way ) )
| ~ sk1
| ~ ( B @ ( A @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[3415]) ).
thf(2749,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[121,170]) ).
thf(2750,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk51 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( sk37 @ ( D @ down ) ) )
| ~ ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2749]) ).
thf(2751,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ down ) ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[2750:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk51 ) ) ))]]) ).
thf(2832,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( sk37 @ ( C @ ( B @ ( A @ sk51 ) ) @ down ) ) )
| ~ ( C @ ( A @ ( B @ sk50 ) ) )
| ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[2751]) ).
thf(3609,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,158]) ).
thf(3610,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk4 @ ( sk5 @ ( D @ in ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3609]) ).
thf(3611,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3610:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3637,plain,
! [C: $i,B: $i,A: $i] :
( ( sk4 @ ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ in ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3611]) ).
thf(1177,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ~ $true
| sk1
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[416,98]) ).
thf(1178,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk36 @ ( E @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1177]) ).
thf(1179,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1178:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(1204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk36 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ hollywood ) )
| ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ way ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1179]) ).
thf(22206,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ event ) )
| ~ sk1
| ~ $true
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,3088]) ).
thf(22207,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
!= ( F @ ( D @ ( E @ ( C @ sk26 ) ) ) ) )
| ( sk5 @ ( F @ ( E @ ( D @ ( C @ sk27 ) ) ) @ event ) )
| ( F @ ( D @ ( E @ ( C @ sk24 ) ) ) )
| ( F @ ( D @ ( E @ sk22 ) ) )
| ( F @ ( E @ ( D @ sk20 ) ) )
| ( F @ ( E @ ( D @ sk18 ) ) )
| ( F @ ( E @ ( D @ sk16 ) ) )
| ( F @ ( E @ ( D @ sk14 ) ) )
| ( F @ ( E @ sk12 ) )
| ( F @ sk10 )
| ( F @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22206]) ).
thf(22208,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ event ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22207:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( sk7 )),bind(E,$thf( sk5 )),bind(F,$thf( A ))]]) ).
thf(22330,plain,
! [B: $i,A: $i] :
( ( sk5 @ ( A @ ( sk5 @ ( sk7 @ ( B @ sk27 ) ) ) @ event ) )
| ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22208]) ).
thf(489,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( A @ car ) )
| ~ $true
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[31,123]) ).
thf(490,plain,
! [A: '$world'] :
( ( ( A @ ( sk3 @ '$accessible_world' ) )
!= ( sk3 @ ( sk2 @ '$accessible_world' ) ) )
| ( sk7 @ ( A @ car ) )
| ~ sk1 ),
inference(simp,[status(thm)],[489]) ).
thf(494,plain,
! [A: '$world'] :
( ( A != sk3 )
| ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( A @ car ) ) ),
inference(simp,[status(thm)],[490]) ).
thf(496,plain,
( ( sk3 != sk2 )
| ~ sk1
| ( sk7 @ ( sk3 @ car ) ) ),
inference(simp,[status(thm)],[494]) ).
thf(703,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[100,129]) ).
thf(704,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk55 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[703]) ).
thf(705,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[704:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk55 ) ) ) ))]]) ).
thf(708,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk55 ) ) ) @ dirty ) )
| ~ ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[705]) ).
thf(1835,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,99]) ).
thf(1836,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ lonely ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1835]) ).
thf(1837,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1836:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1870,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ lonely ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1837]) ).
thf(449,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,106]) ).
thf(450,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( D @ street ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[449]) ).
thf(451,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ street ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[450:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(469,plain,
! [C: $i,B: $i,A: $i] :
( ( sk39 @ ( C @ ( B @ ( A @ sk49 ) ) @ street ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[451]) ).
thf(1913,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[113,119]) ).
thf(1914,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ ( D @ sk61 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( E @ barrel ) ) )
| ~ ( A @ ( C @ ( D @ ( B @ sk60 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk58 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk56 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk54 ) ) ) )
| ( A @ ( C @ ( B @ ( D @ sk52 ) ) ) )
| ( A @ ( C @ ( B @ sk50 ) ) )
| ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1913]) ).
thf(1915,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1914:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk61 ) ) ) ))]]) ).
thf(1944,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk61 ) ) ) @ barrel ) ) )
| ~ ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1915]) ).
thf(897,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( B @ car ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[160,123]) ).
thf(898,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk9 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( B @ car ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[897]) ).
thf(899,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ car ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[898:[bind(A,$thf( C )),bind(B,$thf( C @ sk9 ))]]) ).
thf(940,plain,
! [A: $i] :
( ( sk7 @ ( A @ sk9 @ car ) )
| ~ sk1
| ~ ( A @ sk8 ) ),
inference(simp,[status(thm)],[899]) ).
thf(3619,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[132,107]) ).
thf(3620,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk17 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( sk5 @ ( D @ down ) ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[3619]) ).
thf(3621,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[3620:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk17 ) ) ))]]) ).
thf(3626,plain,
! [C: $i,B: $i,A: $i] :
( ( sk6 @ ( sk5 @ ( C @ ( B @ ( A @ sk17 ) ) @ down ) ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[3621]) ).
thf(5247,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ~ $true
| sk1
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[1098,106]) ).
thf(5248,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk39 @ ( E @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5247]) ).
thf(5249,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[5248:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(5312,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk39 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ street ) )
| ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ chevy ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[5249]) ).
thf(1884,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ $true
| sk1
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[93,119]) ).
thf(1885,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk49 ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( D @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( sk37 @ ( D @ barrel ) ) )
| ~ ( A @ ( B @ ( C @ sk48 ) ) )
| ( A @ ( B @ ( C @ sk46 ) ) )
| ( A @ ( B @ sk44 ) )
| ( A @ sk42 )
| ( A @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1884]) ).
thf(1886,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ barrel ) ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[1885:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk49 ) ) ))]]) ).
thf(1945,plain,
! [C: $i,B: $i,A: $i] :
( ( sk38 @ ( sk37 @ ( C @ ( B @ ( A @ sk49 ) ) @ barrel ) ) )
| ~ ( C @ ( B @ ( A @ sk48 ) ) )
| ( C @ ( B @ ( A @ sk46 ) ) )
| ( C @ ( B @ sk44 ) )
| ( C @ sk42 )
| ( C @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[1886]) ).
thf(22292,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( C @ old ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[11885,127]) ).
thf(22293,plain,
! [C: '$world',B: $i,A: $i] :
( ( ( A @ ( sk5 @ ( sk7 @ ( B @ sk29 ) ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( C @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( C @ old ) )
| ~ sk1
| ~ ( A @ ( B @ ( sk5 @ sk30 ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk26 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ ( B @ sk24 ) ) ) )
| ( A @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( A @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( A @ ( sk5 @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[22292]) ).
thf(22294,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ old ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(pattern_uni,[status(thm)],[22293:[bind(A,$thf( G )),bind(B,$thf( D )),bind(C,$thf( G @ ( sk5 @ ( sk7 @ ( D @ sk29 ) ) ) ))]]) ).
thf(22341,plain,
! [B: $i,A: $i] :
( ( sk7 @ ( B @ ( sk5 @ ( sk7 @ ( A @ sk29 ) ) ) @ old ) )
| ~ sk1
| ~ ( B @ ( A @ ( sk5 @ sk30 ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk26 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ ( A @ sk24 ) ) ) )
| ( B @ ( sk7 @ ( sk5 @ sk22 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk20 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk18 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk16 ) ) )
| ( B @ ( sk5 @ ( sk7 @ sk14 ) ) )
| ( B @ ( sk5 @ sk12 ) )
| ( B @ sk10 )
| ( B @ sk8 ) ),
inference(simp,[status(thm)],[22294]) ).
thf(2577,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk6 @ ( B @ street ) )
| ~ $true
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[128,167]) ).
thf(2578,plain,
! [B: '$world',A: $i] :
( ( ( A @ sk11 @ ( sk3 @ '$accessible_world' ) )
!= ( B @ ( sk3 @ '$accessible_world' ) ) )
| ( sk6 @ ( B @ street ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2577]) ).
thf(2579,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk11 @ street ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(pattern_uni,[status(thm)],[2578:[bind(A,$thf( C )),bind(B,$thf( C @ sk11 ))]]) ).
thf(2615,plain,
! [A: $i] :
( ( sk6 @ ( A @ sk11 @ street ) )
| ~ sk1
| ~ ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[2579]) ).
thf(4845,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ~ sk1
| ( sk7 @ ( D @ chevy ) )
| ~ $true
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(paramod_ordered,[status(thm)],[145,137]) ).
thf(4846,plain,
! [D: '$world',C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( C @ sk21 ) ) @ ( sk3 @ '$accessible_world' ) )
!= ( D @ ( sk3 @ '$accessible_world' ) ) )
| ( sk7 @ ( D @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ ( C @ sk20 ) ) )
| ( A @ ( B @ ( C @ sk18 ) ) )
| ( A @ ( B @ ( C @ sk16 ) ) )
| ( A @ ( B @ ( C @ sk14 ) ) )
| ( A @ ( B @ sk12 ) )
| ( A @ sk10 )
| ( A @ sk8 ) ),
inference(simp,[status(thm)],[4845]) ).
thf(4847,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(pattern_uni,[status(thm)],[4846:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( G @ ( F @ ( E @ sk21 ) ) ))]]) ).
thf(4908,plain,
! [C: $i,B: $i,A: $i] :
( ( sk7 @ ( C @ ( B @ ( A @ sk21 ) ) @ chevy ) )
| ~ sk1
| ~ ( C @ ( B @ ( A @ sk20 ) ) )
| ( C @ ( B @ ( A @ sk18 ) ) )
| ( C @ ( B @ ( A @ sk16 ) ) )
| ( C @ ( B @ ( A @ sk14 ) ) )
| ( C @ ( B @ sk12 ) )
| ( C @ sk10 )
| ( C @ sk8 ) ),
inference(simp,[status(thm)],[4847]) ).
thf(3946,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ~ $true
| sk1
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(paramod_ordered,[status(thm)],[888,129]) ).
thf(3947,plain,
! [E: '$world',D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ ( sk35 @ '$accessible_world' ) )
!= ( E @ ( sk35 @ '$accessible_world' ) ) )
| ( sk38 @ ( E @ dirty ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3946]) ).
thf(3948,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(pattern_uni,[status(thm)],[3947:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( I )),bind(E,$thf( I @ ( H @ ( G @ ( F @ sk64 ) ) ) ))]]) ).
thf(4002,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk38 @ ( D @ ( C @ ( B @ ( A @ sk64 ) ) ) @ dirty ) )
| ( sk37 @ ( D @ ( C @ ( B @ ( A @ sk65 ) ) ) @ event ) )
| ( D @ ( B @ ( C @ sk62 ) ) )
| ( D @ ( B @ ( A @ ( C @ sk60 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk58 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk56 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk54 ) ) ) )
| ( D @ ( B @ ( C @ ( A @ sk52 ) ) ) )
| ( D @ ( B @ ( C @ sk50 ) ) )
| ( D @ ( C @ ( B @ sk48 ) ) )
| ( D @ ( C @ ( B @ sk46 ) ) )
| ( D @ ( C @ sk44 ) )
| ( D @ sk42 )
| ( D @ sk40 )
| sk1 ),
inference(simp,[status(thm)],[3948]) ).
thf(47659,plain,
$false,
inference(e,[status(thm)],[892,2822,1337,2612,1559,468,941,5028,1295,4904,10166,138,3345,4005,101,4909,1237,846,5320,170,6587,115,1290,2062,6219,994,741,1205,440,6214,1486,1855,1200,523,2512,2231,22333,3460,1569,1939,4697,120,247,22489,1671,385,384,1137,2607,21192,4011,3253,945,670,142,2740,1867,22347,1872,472,153,10737,1196,22755,3629,3249,709,417,1935,4137,565,2516,2825,1482,5024,174,1095,3350,1001,4142,2972,3634,1243,11834,885,3088,3777,6583,1613,2819,28570,22352,389,1055,20594,22353,2735,4692,1871,702,125,4130,3089,3353,1132,10903,1287,11087,110,1330,1860,21339,157,3463,3638,27472,1479,770,9240,316,4390,22348,2829,4492,93,606,1572,3084,416,152,1568,2520,4141,22338,1875,1100,261,6594,4008,3258,22767,22357,4903,5027,13382,4001,3453,1334,1051,2017,1489,4696,2616,1946,164,22762,1136,1858,1864,106,5032,121,4134,3357,7581,3093,2618,293,2523,133,11885,998,988,4701,116,2965,206,602,766,2964,147,6591,2058,132,6221,5321,27468,1943,1201,1242,849,22342,6103,4483,1564,1863,2011,11121,942,8243,4480,6588,5034,2737,3767,2621,1047,27474,4700,19877,7148,3450,3459,117,1199,3635,4910,8842,20624,102,714,1868,3261,160,1666,1487,297,2969,630,137,165,22346,3778,2015,6582,1560,27869,4140,361,28576,3349,97,2609,889,493,1195,1573,1938,566,229,847,3090,879,2826,2820,1281,2741,1291,710,6215,1089,948,156,22769,1856,4693,1138,5313,1936,19048,2515,3254,2973,4486,1096,2509,1672,3632,169,141,4012,6218,3087,884,3775,5031,22336,23310,6593,2830,3094,5743,22354,526,27864,96,109,1567,471,124,1942,1292,22343,2613,1937,27461,6978,2968,1099,2519,16822,3770,22364,1050,173,129,4135,4902,27471,6224,5317,997,3354,5380,3628,1874,4689,5026,3083,605,3454,134,1857,128,105,9468,1241,360,2208,22339,1563,1054,6592,22768,8955,22332,2617,20422,4004,888,3999,2963,1286,4906,22358,674,298,412,4131,3358,22763,166,148,264,3262,161,9635,2734,296,27467,149,601,1483,34,6234,176,2970,3768,3636,2225,6510,843,1929,36525,711,204,2827,562,4000,3086,6581,2016,2514,3458,118,23318,1488,4485,3773,20119,49,335,3355,21735,391,1139,5033,382,144,2738,22345,713,1865,5314,466,3091,947,35651,159,672,2521,3352,172,2229,6217,996,4139,245,318,22350,98,1571,6216,2510,6585,604,113,3631,3251,22335,3779,1048,736,4914,4699,362,567,4477,11406,2610,29638,103,4911,140,848,22766,3451,626,10172,943,1952,890,3456,2824,4694,5035,1877,631,2742,1862,27475,1293,155,2974,108,6589,2962,18712,22331,3627,2620,6223,27466,1000,2967,1102,3348,167,4481,1562,1198,130,135,563,473,1873,4901,1203,21022,4052,112,8067,939,4812,145,1049,675,4907,4690,4136,2614,162,944,6225,5025,123,3455,4688,2333,1958,13454,2513,525,295,4490,2518,22344,1484,712,557,150,707,27470,3082,887,414,95,1566,2012,2732,1941,3462,20257,2821,263,1098,2831,993,1053,22355,2224,441,3344,1869,3774,3095,31,673,4905,177,182,2219,5030,127,470,4132,1336,22764,3769,5319,1934,8696,23256,4133,27322,3356,600,6213,2728,143,13481,2975,4488,154,1485,1052,175,1094,2511,4695,1670,3256,595,6220,27469,1940,3452,363,2828,671,524,2611,891,3625,1866,771,845,20888,2013,231,4138,3457,4698,3092,99,22760,495,22334,104,3346,4006,1289,844,5315,4913,319,1481,158,2823,186,2971,1854,4010,418,3252,27462,1674,946,1101,3630,114,2608,171,139,1244,995,10077,6584,3085,568,119,246,9906,1294,5023,6586,27459,13428,2230,22363,2009,1861,4478,2066,2003,151,21879,999,2517,146,3264,2522,3464,1876,1673,603,1097,168,2736,2008,6226,1480,564,1859,107,3347,358,1335,1561,6590,5036,3765,3633,94,242,4,126,136,1288,1197,2619,4912,886,415,2731,4129,2966,27463,3259,4484,131,163,7392,27465,11886,740,442,6222,4691,111,5029,3461,122,1565,2832,3637,1204,22330,496,364,708,1870,469,1944,940,3626,5312,1945,22341,2615,4908,100,4002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL945_9 : TPTP v9.3.1. Bugfixed v9.0.0.
% 0.00/0.04 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Fri Sep 25 23:50:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.40/0.61 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.73 % [INFO] Parsing done (117ms).
% 0.67/0.73 % [INFO] Running in sequential loop mode.
% 1.09/0.91 % [INFO] eprover registered as external prover.
% 1.09/0.92 % [INFO] Scanning for conjecture ...
% 1.09/1.01 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.35/1.04 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.35/1.05 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.35/1.05 % [INFO] Type checking passed.
% 1.35/1.05 % [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 ...
% 130.77/51.58 % External prover 'e' found a proof!
% 130.77/51.59 % [INFO] Killing All external provers ...
% 130.77/51.59 % Time passed: 51196ms (effective reasoning time: 50851ms)
% 130.77/51.59 % 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)>
% 130.77/51.59 % Axioms used in derivation (1): mrel_serial
% 130.77/51.59 % No. of inferences in proof: 2838
% 130.77/51.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 51196 ms resp. 50851 ms w/o parsing
% 134.37/52.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 134.37/52.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------