%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYP061_1 : TPTP v9.3.1. Released v9.3.0.
% 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 09:51:47 AM UTC 2026
% Result : Theorem 4.28s 2.19s
% Output : Refutation 4.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 985 ( 0 equ; 0 cnn)
% Maximal formula atoms : 326 ( 164 avg)
% Number of connectives : 2883 ( 227 ~; 153 |; 389 &;1677 @)
% ( 0 <=>; 437 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 33 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 693 ( 0 ^; 381 !; 312 ?; 693 :)
% Comments :
%------------------------------------------------------------------------------
thf('$world_type',type,
'$world': $tType ).
thf('$local_world_decl',type,
'$local_world': '$world' ).
thf('$accessible_world_decl',type,
'$accessible_world': '$world' > '$world' > $o ).
thf(p0_decl,type,
p0: '$world' > $o ).
thf(p1_decl,type,
p1: '$world' > $o ).
thf(p3_decl,type,
p3: '$world' > $o ).
thf(p4_decl,type,
p4: '$world' > $o ).
thf(1,conjecture,
( ? [A: '$world'] :
( ( A @ p4 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p1 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p1 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ? [B: '$world'] :
( ( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p1 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ? [C: '$world'] :
( ( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p1 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ? [D: '$world'] :
( ( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p1 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ? [E: '$world'] :
( ( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p1 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ? [F: '$world'] :
( ( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p1 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ? [G: '$world'] :
( ( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p1 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ? [H: '$world'] :
( ( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p1 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p1 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
| ? [I: '$world'] :
( ( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p1 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p1 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
| ? [J: '$world'] :
( ( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( M @ p3 ) )
| ~ ( L @ p0 ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ? [K: '$world'] :
( ? [L: '$world'] :
( ( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( M @ p3 ) )
| ~ ( L @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ p0 )
& ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ? [N: '$world'] :
( ( N @ p0 )
& ( N @ ( M @ '$accessible_world' ) ) ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( ! [N: '$world'] :
( ( N @ ( M @ '$accessible_world' ) )
=> ( N @ p3 ) )
| ~ ( M @ p0 ) ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) )
| ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ? [M: '$world'] :
( ( M @ p0 )
& ( M @ ( L @ '$accessible_world' ) ) ) )
& ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ? [M: '$world'] :
( ! [N: '$world'] :
( ( N @ ( M @ '$accessible_world' ) )
=> ( ! [O: '$world'] :
( ( O @ ( N @ '$accessible_world' ) )
=> ( O @ p3 ) )
| ~ ( N @ p0 ) ) )
& ( M @ ( L @ '$accessible_world' ) ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p3 ) )
| ~ ( K @ p0 ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
| ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p1 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
| ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p1 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p1 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p1 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p1 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p1 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p1 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p1 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p1 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) )
& ( B @ ( A @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p1 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p1 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( ~ ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p1 ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ~ ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) ) ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ~ ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) ) ) ) )
| ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ~ ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) ) ) ) )
| ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ~ ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) ) ) ) )
| ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ~ ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) ) ) ) )
| ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ~ ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) ) ) ) )
| ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ~ ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) ) ) ) )
| ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ~ ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) ) ) ) )
| ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ~ ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) ) ) ) )
| ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ~ ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p1 ) ) ) ) )
| ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) ) )
| ? [J: '$world'] :
( ~ ( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p1 ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) ) ) )
| ? [I: '$world'] :
( ~ ( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) ) ) )
| ? [H: '$world'] :
( ~ ( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) ) ) )
| ? [G: '$world'] :
( ~ ( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) ) ) )
| ? [F: '$world'] :
( ~ ( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) ) ) )
| ? [E: '$world'] :
( ~ ( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) ) ) )
| ? [D: '$world'] :
( ~ ( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) ) ) )
| ? [C: '$world'] :
( ~ ( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) ) ) )
| ? [B: '$world'] :
( ~ ( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p1 ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) ) ) )
| ? [A: '$world'] :
( ~ ( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ~ ( B @ p1 ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p1 ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',10) ).
thf(2,negated_conjecture,
~ ( ? [A: '$world'] :
( ( A @ p4 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p1 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p1 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ? [B: '$world'] :
( ( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p1 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ? [C: '$world'] :
( ( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p1 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ? [D: '$world'] :
( ( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p1 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ? [E: '$world'] :
( ( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p1 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ? [F: '$world'] :
( ( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p1 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ? [G: '$world'] :
( ( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p1 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ? [H: '$world'] :
( ( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p1 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p1 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
| ? [I: '$world'] :
( ( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p1 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p1 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
| ? [J: '$world'] :
( ( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( M @ p3 ) )
| ~ ( L @ p0 ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ? [K: '$world'] :
( ? [L: '$world'] :
( ( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( M @ p3 ) )
| ~ ( L @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ p0 )
& ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ? [N: '$world'] :
( ( N @ p0 )
& ( N @ ( M @ '$accessible_world' ) ) ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( ! [N: '$world'] :
( ( N @ ( M @ '$accessible_world' ) )
=> ( N @ p3 ) )
| ~ ( M @ p0 ) ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) )
| ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ? [M: '$world'] :
( ( M @ p0 )
& ( M @ ( L @ '$accessible_world' ) ) ) )
& ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ? [M: '$world'] :
( ! [N: '$world'] :
( ( N @ ( M @ '$accessible_world' ) )
=> ( ! [O: '$world'] :
( ( O @ ( N @ '$accessible_world' ) )
=> ( O @ p3 ) )
| ~ ( N @ p0 ) ) )
& ( M @ ( L @ '$accessible_world' ) ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p3 ) )
| ~ ( K @ p0 ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
| ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p1 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
| ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p1 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p1 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p1 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p1 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p1 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p1 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p1 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p1 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) )
& ( B @ ( A @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p1 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p1 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( ~ ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p1 ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ~ ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) ) ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ~ ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) ) ) ) )
| ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ~ ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) ) ) ) )
| ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ~ ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) ) ) ) )
| ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ~ ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) ) ) ) )
| ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ~ ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) ) ) ) )
| ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ~ ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) ) ) ) )
| ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ~ ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) ) ) ) )
| ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ~ ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) ) ) ) )
| ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ~ ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p1 ) ) ) ) )
| ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) ) )
| ? [J: '$world'] :
( ~ ( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p1 ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) ) ) )
| ? [I: '$world'] :
( ~ ( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) ) ) )
| ? [H: '$world'] :
( ~ ( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) ) ) )
| ? [G: '$world'] :
( ~ ( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) ) ) )
| ? [F: '$world'] :
( ~ ( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) ) ) )
| ? [E: '$world'] :
( ~ ( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) ) ) )
| ? [D: '$world'] :
( ~ ( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) ) ) )
| ? [C: '$world'] :
( ~ ( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) ) ) )
| ? [B: '$world'] :
( ~ ( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p1 ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) ) ) )
| ? [A: '$world'] :
( ~ ( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ~ ( B @ p1 ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p1 ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( ? [A: '$world'] :
( ( A @ p4 )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ? [C: '$world'] :
( ( C @ p1 )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ( ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ? [D: '$world'] :
( ( D @ p1 )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ? [B: '$world'] :
( ( ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ? [E: '$world'] :
( ( E @ p1 )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ? [C: '$world'] :
( ( ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ? [F: '$world'] :
( ( F @ p1 )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ? [D: '$world'] :
( ( ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ? [G: '$world'] :
( ( G @ p1 )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ? [E: '$world'] :
( ( ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ? [H: '$world'] :
( ( H @ p1 )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ? [F: '$world'] :
( ( ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ? [I: '$world'] :
( ( I @ p1 )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ? [G: '$world'] :
( ( ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ? [J: '$world'] :
( ( J @ p1 )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ? [H: '$world'] :
( ( ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p1 ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ( K @ p1 )
& ( K @ ( J @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
| ? [I: '$world'] :
( ( ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ~ ( M @ p1 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p1 )
& ( L @ ( K @ '$accessible_world' ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
| ? [J: '$world'] :
( ( ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( M @ p3 ) )
| ~ ( L @ p0 ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ? [K: '$world'] :
( ? [L: '$world'] :
( ( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( M @ p3 ) )
| ~ ( L @ p0 ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ p0 )
& ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ? [N: '$world'] :
( ( N @ p0 )
& ( N @ ( M @ '$accessible_world' ) ) ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ( ? [K: '$world'] :
( ? [L: '$world'] :
( ! [M: '$world'] :
( ( M @ ( L @ '$accessible_world' ) )
=> ( ! [N: '$world'] :
( ( N @ ( M @ '$accessible_world' ) )
=> ( N @ p3 ) )
| ~ ( M @ p0 ) ) )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) )
| ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ? [M: '$world'] :
( ( M @ p0 )
& ( M @ ( L @ '$accessible_world' ) ) ) )
& ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ? [M: '$world'] :
( ! [N: '$world'] :
( ( N @ ( M @ '$accessible_world' ) )
=> ( ! [O: '$world'] :
( ( O @ ( N @ '$accessible_world' ) )
=> ( O @ p3 ) )
| ~ ( N @ p0 ) ) )
& ( M @ ( L @ '$accessible_world' ) ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
| ( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p3 ) )
| ~ ( K @ p0 ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ? [L: '$world'] :
( ( L @ p0 )
& ( L @ ( K @ '$accessible_world' ) ) ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
| ? [J: '$world'] :
( ? [K: '$world'] :
( ? [L: '$world'] :
( ~ ( L @ p1 )
& ( L @ ( K @ '$accessible_world' ) ) )
& ( K @ ( J @ '$accessible_world' ) ) )
& ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) )
& ( J @ ( I @ '$accessible_world' ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
| ? [I: '$world'] :
( ? [J: '$world'] :
( ? [K: '$world'] :
( ~ ( K @ p1 )
& ( K @ ( J @ '$accessible_world' ) ) )
& ( J @ ( I @ '$accessible_world' ) ) )
& ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) )
& ( I @ ( H @ '$accessible_world' ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
| ? [H: '$world'] :
( ? [I: '$world'] :
( ? [J: '$world'] :
( ~ ( J @ p1 )
& ( J @ ( I @ '$accessible_world' ) ) )
& ( I @ ( H @ '$accessible_world' ) ) )
& ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) )
& ( H @ ( G @ '$accessible_world' ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
| ? [G: '$world'] :
( ? [H: '$world'] :
( ? [I: '$world'] :
( ~ ( I @ p1 )
& ( I @ ( H @ '$accessible_world' ) ) )
& ( H @ ( G @ '$accessible_world' ) ) )
& ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) )
& ( G @ ( F @ '$accessible_world' ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
| ? [F: '$world'] :
( ? [G: '$world'] :
( ? [H: '$world'] :
( ~ ( H @ p1 )
& ( H @ ( G @ '$accessible_world' ) ) )
& ( G @ ( F @ '$accessible_world' ) ) )
& ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) )
& ( F @ ( E @ '$accessible_world' ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
| ? [E: '$world'] :
( ? [F: '$world'] :
( ? [G: '$world'] :
( ~ ( G @ p1 )
& ( G @ ( F @ '$accessible_world' ) ) )
& ( F @ ( E @ '$accessible_world' ) ) )
& ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) )
& ( E @ ( D @ '$accessible_world' ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
| ? [D: '$world'] :
( ? [E: '$world'] :
( ? [F: '$world'] :
( ~ ( F @ p1 )
& ( F @ ( E @ '$accessible_world' ) ) )
& ( E @ ( D @ '$accessible_world' ) ) )
& ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) )
& ( D @ ( C @ '$accessible_world' ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
| ? [C: '$world'] :
( ? [D: '$world'] :
( ? [E: '$world'] :
( ~ ( E @ p1 )
& ( E @ ( D @ '$accessible_world' ) ) )
& ( D @ ( C @ '$accessible_world' ) ) )
& ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) )
& ( C @ ( B @ '$accessible_world' ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
| ? [B: '$world'] :
( ? [C: '$world'] :
( ? [D: '$world'] :
( ~ ( D @ p1 )
& ( D @ ( C @ '$accessible_world' ) ) )
& ( C @ ( B @ '$accessible_world' ) ) )
& ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) )
& ( B @ ( A @ '$accessible_world' ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ? [A: '$world'] :
( ? [B: '$world'] :
( ? [C: '$world'] :
( ~ ( C @ p1 )
& ( C @ ( B @ '$accessible_world' ) ) )
& ( B @ ( A @ '$accessible_world' ) ) )
& ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p1 ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( ~ ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( B @ p1 ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ~ ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) ) ) ) )
| ! [A: '$world'] :
( ( A @ ( '$local_world' @ '$accessible_world' ) )
=> ( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ~ ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( C @ p1 ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) ) ) ) )
| ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ~ ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( D @ p1 ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) ) ) ) )
| ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ~ ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( E @ p1 ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) ) ) ) )
| ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ~ ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( F @ p1 ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) ) ) ) )
| ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ~ ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( G @ p1 ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) ) ) ) )
| ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ~ ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( H @ p1 ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) ) ) ) )
| ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ~ ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( I @ p1 ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) ) ) ) )
| ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ~ ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( J @ p1 ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) ) ) ) )
| ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ( ~ ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ( K @ p1 ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p1 ) ) ) ) )
| ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ? [K: '$world'] :
( ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ( L @ p0 ) )
& ( K @ ( J @ '$accessible_world' ) ) ) )
| ? [J: '$world'] :
( ~ ( ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ! [L: '$world'] :
( ( L @ ( K @ '$accessible_world' ) )
=> ~ ( L @ p1 ) ) ) )
& ( J @ ( I @ '$accessible_world' ) ) ) ) )
| ? [I: '$world'] :
( ~ ( ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ! [K: '$world'] :
( ( K @ ( J @ '$accessible_world' ) )
=> ~ ( K @ p1 ) ) ) )
& ( I @ ( H @ '$accessible_world' ) ) ) ) )
| ? [H: '$world'] :
( ~ ( ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ! [J: '$world'] :
( ( J @ ( I @ '$accessible_world' ) )
=> ~ ( J @ p1 ) ) ) )
& ( H @ ( G @ '$accessible_world' ) ) ) ) )
| ? [G: '$world'] :
( ~ ( ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ! [I: '$world'] :
( ( I @ ( H @ '$accessible_world' ) )
=> ~ ( I @ p1 ) ) ) )
& ( G @ ( F @ '$accessible_world' ) ) ) ) )
| ? [F: '$world'] :
( ~ ( ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ! [H: '$world'] :
( ( H @ ( G @ '$accessible_world' ) )
=> ~ ( H @ p1 ) ) ) )
& ( F @ ( E @ '$accessible_world' ) ) ) ) )
| ? [E: '$world'] :
( ~ ( ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ! [G: '$world'] :
( ( G @ ( F @ '$accessible_world' ) )
=> ~ ( G @ p1 ) ) ) )
& ( E @ ( D @ '$accessible_world' ) ) ) ) )
| ? [D: '$world'] :
( ~ ( ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ! [F: '$world'] :
( ( F @ ( E @ '$accessible_world' ) )
=> ~ ( F @ p1 ) ) ) )
& ( D @ ( C @ '$accessible_world' ) ) ) ) )
| ? [C: '$world'] :
( ~ ( ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ! [E: '$world'] :
( ( E @ ( D @ '$accessible_world' ) )
=> ~ ( E @ p1 ) ) ) )
& ( C @ ( B @ '$accessible_world' ) ) ) ) )
| ? [B: '$world'] :
( ~ ( ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p1 ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ! [D: '$world'] :
( ( D @ ( C @ '$accessible_world' ) )
=> ~ ( D @ p1 ) ) ) )
& ( B @ ( A @ '$accessible_world' ) ) ) ) )
| ? [A: '$world'] :
( ~ ( ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ~ ( B @ p1 ) )
=> ! [B: '$world'] :
( ( B @ ( A @ '$accessible_world' ) )
=> ! [C: '$world'] :
( ( C @ ( B @ '$accessible_world' ) )
=> ~ ( C @ p1 ) ) ) )
& ( A @ ( '$local_world' @ '$accessible_world' ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: '$world',B: '$world',C: '$world'] :
( ( ( B @ ( A @ '$accessible_world' ) )
& ( C @ ( A @ '$accessible_world' ) ) )
=> ( B @ ( C @ '$accessible_world' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(296,plain,
! [A: '$world',B: '$world',C: '$world'] :
( ( ( B @ ( A @ '$accessible_world' ) )
& ( C @ ( A @ '$accessible_world' ) ) )
=> ( B @ ( C @ '$accessible_world' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(318,plain,
$false,
inference(e,[status(thm)],[4,296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYP061_1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.06/0.31 % Computer : n012.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8046.5625MB
% 0.06/0.31 % OS : Linux 6.8.0-71-generic
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Sat Sep 26 20:24:34 UTC 2026
% 0.06/0.31 % CPUTime :
% 0.06/0.31 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
% 0.39/0.60 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.70/0.70 % [INFO] Parsing done (97ms).
% 0.70/0.71 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 0.70/0.72 %%% First-order logic specification detected, trying modal-logic-to-TXF embedding (redirected from embedding '$$modal' to embedding '$$fomlModel' version 1.3.7) ... Use flag -p FORCE_HIGHERORDER if you want to have THF output instead.
% 0.70/0.78 % [INFO] Running in sequential loop mode.
% 1.17/0.94 % [INFO] eprover registered as external prover.
% 1.17/0.95 % [INFO] Scanning for conjecture ...
% 1.42/1.08 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.65/1.12 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.65/1.13 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.65/1.14 % [INFO] Type checking passed.
% 1.65/1.14 % [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 ...
% 4.28/2.19 % External prover 'e' found a proof!
% 4.28/2.19 % [INFO] Killing All external provers ...
% 4.28/2.19 % Time passed: 1796ms (effective reasoning time: 1409ms)
% 4.28/2.19 % 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)>
% 4.28/2.19 % Axioms used in derivation (1): mrel_euclidean
% 4.28/2.19 % No. of inferences in proof: 6
% 4.28/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1796 ms resp. 1409 ms w/o parsing
% 4.75/2.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.75/2.25 % [INFO] Killing All external provers ...
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