%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : LCL668+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:55:42 EDT 2024
% Result : Theorem 81.19s 20.95s
% Output : Refutation 81.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 43
% Syntax : Number of formulae : 47 ( 3 unt; 41 typ; 0 def)
% Number of atoms : 1965 ( 0 equ; 0 cnn)
% Maximal formula atoms : 654 ( 327 avg)
% Number of connectives : 7321 (1965 ~;1659 |; 300 &;3397 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 168 ( 85 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 41 usr; 1 con; 0-2 aty)
% Number of variables : 1436 ( 0 ^1433 !; 3 ?;1436 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p52_type,type,
p52: $i > $o ).
thf(p50_type,type,
p50: $i > $o ).
thf(p48_type,type,
p48: $i > $o ).
thf(p46_type,type,
p46: $i > $o ).
thf(p44_type,type,
p44: $i > $o ).
thf(p42_type,type,
p42: $i > $o ).
thf(p40_type,type,
p40: $i > $o ).
thf(p38_type,type,
p38: $i > $o ).
thf(p36_type,type,
p36: $i > $o ).
thf(p34_type,type,
p34: $i > $o ).
thf(p32_type,type,
p32: $i > $o ).
thf(p30_type,type,
p30: $i > $o ).
thf(p28_type,type,
p28: $i > $o ).
thf(p26_type,type,
p26: $i > $o ).
thf(p24_type,type,
p24: $i > $o ).
thf(p22_type,type,
p22: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p27_type,type,
p27: $i > $o ).
thf(p25_type,type,
p25: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p23_type,type,
p23: $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p19_type,type,
p19: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ( ~ ( p52 @ ZA )
& ~ ( p50 @ ZA )
& ~ ( p48 @ ZA )
& ~ ( p46 @ ZA )
& ~ ( p44 @ ZA )
& ~ ( p42 @ ZA )
& ~ ( p40 @ ZA )
& ~ ( p38 @ ZA )
& ~ ( p36 @ ZA )
& ~ ( p34 @ ZA )
& ~ ( p32 @ ZA )
& ~ ( p30 @ ZA )
& ~ ( p28 @ ZA )
& ~ ( p26 @ ZA )
& ~ ( p24 @ ZA )
& ~ ( p22 @ ZA )
& ~ ( p20 @ ZA )
& ~ ( p18 @ ZA )
& ~ ( p16 @ ZA )
& ~ ( p14 @ ZA )
& ~ ( p12 @ ZA )
& ~ ( p10 @ ZA )
& ~ ( p8 @ ZA )
& ~ ( p6 @ ZA )
& ~ ( p4 @ ZA )
& ~ ( p2 @ ZA ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p27 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p25 @ ZC )
& ~ ( p1 @ ZC ) )
| ( ( p1 @ ZC )
& ( p25 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p24 @ ZC )
& ~ ( p25 @ ZC ) )
| ( ( p25 @ ZC )
& ( p24 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p25 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p23 @ ZC )
& ~ ( p24 @ ZC ) )
| ( ( p24 @ ZC )
& ( p23 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p24 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p22 @ ZC )
& ~ ( p23 @ ZC ) )
| ( ( p23 @ ZC )
& ( p22 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p23 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p21 @ ZC )
& ~ ( p22 @ ZC ) )
| ( ( p22 @ ZC )
& ( p21 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p22 @ G ) )
| ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p20 @ ZC )
& ~ ( p21 @ ZC ) )
| ( ( p21 @ ZC )
& ( p20 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p21 @ H ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ~ ( ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p19 @ ZC )
& ~ ( p20 @ ZC ) )
| ( ( p20 @ ZC )
& ( p19 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p20 @ I ) )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p18 @ ZC )
& ~ ( p19 @ ZC ) )
| ( ( p19 @ ZC )
& ( p18 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p19 @ J ) )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ~ ( ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p17 @ ZC )
& ~ ( p18 @ ZC ) )
| ( ( p18 @ ZC )
& ( p17 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p18 @ K ) )
| ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ~ ( ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p16 @ ZC )
& ~ ( p17 @ ZC ) )
| ( ( p17 @ ZC )
& ( p16 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ( p17 @ L ) )
| ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ~ ( ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p15 @ ZC )
& ~ ( p16 @ ZC ) )
| ( ( p16 @ ZC )
& ( p15 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ( p16 @ M ) )
| ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ~ ( ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p14 @ ZC )
& ~ ( p15 @ ZC ) )
| ( ( p15 @ ZC )
& ( p14 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ( p15 @ N ) )
| ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ~ ( ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p13 @ ZC )
& ~ ( p14 @ ZC ) )
| ( ( p14 @ ZC )
& ( p13 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ( p14 @ O ) )
| ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ~ ( ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p12 @ ZC )
& ~ ( p13 @ ZC ) )
| ( ( p13 @ ZC )
& ( p12 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ( p13 @ P ) )
| ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ~ ( ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p11 @ ZC )
& ~ ( p12 @ ZC ) )
| ( ( p12 @ ZC )
& ( p11 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( p12 @ Q ) )
| ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ~ ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p10 @ ZC )
& ~ ( p11 @ ZC ) )
| ( ( p11 @ ZC )
& ( p10 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ( p11 @ R ) )
| ~ ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ~ ( ~ ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p9 @ ZC )
& ~ ( p10 @ ZC ) )
| ( ( p10 @ ZC )
& ( p9 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ( p10 @ S ) )
| ~ ! [S: $i] :
( ~ ( r1 @ R @ S )
| ~ ( ~ ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p8 @ ZC )
& ~ ( p9 @ ZC ) )
| ( ( p9 @ ZC )
& ( p8 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ( p9 @ T ) )
| ~ ! [T: $i] :
( ~ ( r1 @ S @ T )
| ~ ( ~ ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p7 @ ZC )
& ~ ( p8 @ ZC ) )
| ( ( p8 @ ZC )
& ( p7 @ ZC ) ) ) ) ) ) ) ) ) ) ) )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ( p8 @ U ) )
| ~ ! [U: $i] :
( ~ ( r1 @ T @ U )
| ~ ( ~ ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p6 @ ZC )
& ~ ( p7 @ ZC ) )
| ( ( p7 @ ZC )
& ( p6 @ ZC ) ) ) ) ) ) ) ) ) ) )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ( p7 @ V ) )
| ~ ! [V: $i] :
( ~ ( r1 @ U @ V )
| ~ ( ~ ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p5 @ ZC )
& ~ ( p6 @ ZC ) )
| ( ( p6 @ ZC )
& ( p5 @ ZC ) ) ) ) ) ) ) ) ) )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ( p6 @ W ) )
| ~ ! [W: $i] :
( ~ ( r1 @ V @ W )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p4 @ ZC )
& ~ ( p5 @ ZC ) )
| ( ( p5 @ ZC )
& ( p4 @ ZC ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ( p5 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ W @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p3 @ ZC )
& ~ ( p4 @ ZC ) )
| ( ( p4 @ ZC )
& ( p3 @ ZC ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p2 @ ZC )
& ~ ( p3 @ ZC ) )
| ( ( p3 @ ZC )
& ( p2 @ ZC ) ) ) ) ) ) )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ( p3 @ Z ) )
| ~ ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ~ ~ ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p1 @ ZC )
& ~ ( p2 @ ZC ) )
| ( ( p2 @ ZC )
& ( p1 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ( ( p26 @ ZA )
& ( p25 @ ZA )
& ( p24 @ ZA )
& ( p23 @ ZA )
& ( p22 @ ZA )
& ( p21 @ ZA )
& ( p20 @ ZA )
& ( p19 @ ZA )
& ( p18 @ ZA )
& ( p17 @ ZA )
& ( p16 @ ZA )
& ( p15 @ ZA )
& ( p14 @ ZA )
& ( p13 @ ZA )
& ( p12 @ ZA )
& ( p11 @ ZA )
& ( p10 @ ZA )
& ( p9 @ ZA )
& ( p8 @ ZA )
& ( p7 @ ZA )
& ( p6 @ ZA )
& ( p5 @ ZA )
& ( p4 @ ZA )
& ( p3 @ ZA )
& ( p2 @ ZA )
& ( p1 @ ZA ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ( ~ ( p52 @ ZA )
& ~ ( p50 @ ZA )
& ~ ( p48 @ ZA )
& ~ ( p46 @ ZA )
& ~ ( p44 @ ZA )
& ~ ( p42 @ ZA )
& ~ ( p40 @ ZA )
& ~ ( p38 @ ZA )
& ~ ( p36 @ ZA )
& ~ ( p34 @ ZA )
& ~ ( p32 @ ZA )
& ~ ( p30 @ ZA )
& ~ ( p28 @ ZA )
& ~ ( p26 @ ZA )
& ~ ( p24 @ ZA )
& ~ ( p22 @ ZA )
& ~ ( p20 @ ZA )
& ~ ( p18 @ ZA )
& ~ ( p16 @ ZA )
& ~ ( p14 @ ZA )
& ~ ( p12 @ ZA )
& ~ ( p10 @ ZA )
& ~ ( p8 @ ZA )
& ~ ( p6 @ ZA )
& ~ ( p4 @ ZA )
& ~ ( p2 @ ZA ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p27 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p25 @ ZC )
& ~ ( p1 @ ZC ) )
| ( ( p1 @ ZC )
& ( p25 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p24 @ ZC )
& ~ ( p25 @ ZC ) )
| ( ( p25 @ ZC )
& ( p24 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p25 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p23 @ ZC )
& ~ ( p24 @ ZC ) )
| ( ( p24 @ ZC )
& ( p23 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p24 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p22 @ ZC )
& ~ ( p23 @ ZC ) )
| ( ( p23 @ ZC )
& ( p22 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p23 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p21 @ ZC )
& ~ ( p22 @ ZC ) )
| ( ( p22 @ ZC )
& ( p21 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p22 @ G ) )
| ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p20 @ ZC )
& ~ ( p21 @ ZC ) )
| ( ( p21 @ ZC )
& ( p20 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p21 @ H ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ~ ( ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p19 @ ZC )
& ~ ( p20 @ ZC ) )
| ( ( p20 @ ZC )
& ( p19 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p20 @ I ) )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p18 @ ZC )
& ~ ( p19 @ ZC ) )
| ( ( p19 @ ZC )
& ( p18 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p19 @ J ) )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ~ ( ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p17 @ ZC )
& ~ ( p18 @ ZC ) )
| ( ( p18 @ ZC )
& ( p17 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p18 @ K ) )
| ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ~ ( ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p16 @ ZC )
& ~ ( p17 @ ZC ) )
| ( ( p17 @ ZC )
& ( p16 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ( p17 @ L ) )
| ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ~ ( ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p15 @ ZC )
& ~ ( p16 @ ZC ) )
| ( ( p16 @ ZC )
& ( p15 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ( p16 @ M ) )
| ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ~ ( ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p14 @ ZC )
& ~ ( p15 @ ZC ) )
| ( ( p15 @ ZC )
& ( p14 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ( p15 @ N ) )
| ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ~ ( ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p13 @ ZC )
& ~ ( p14 @ ZC ) )
| ( ( p14 @ ZC )
& ( p13 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ( p14 @ O ) )
| ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ~ ( ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p12 @ ZC )
& ~ ( p13 @ ZC ) )
| ( ( p13 @ ZC )
& ( p12 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ( p13 @ P ) )
| ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ~ ( ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p11 @ ZC )
& ~ ( p12 @ ZC ) )
| ( ( p12 @ ZC )
& ( p11 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( p12 @ Q ) )
| ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ~ ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p10 @ ZC )
& ~ ( p11 @ ZC ) )
| ( ( p11 @ ZC )
& ( p10 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ( p11 @ R ) )
| ~ ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ~ ( ~ ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p9 @ ZC )
& ~ ( p10 @ ZC ) )
| ( ( p10 @ ZC )
& ( p9 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ( p10 @ S ) )
| ~ ! [S: $i] :
( ~ ( r1 @ R @ S )
| ~ ( ~ ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p8 @ ZC )
& ~ ( p9 @ ZC ) )
| ( ( p9 @ ZC )
& ( p8 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ( p9 @ T ) )
| ~ ! [T: $i] :
( ~ ( r1 @ S @ T )
| ~ ( ~ ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p7 @ ZC )
& ~ ( p8 @ ZC ) )
| ( ( p8 @ ZC )
& ( p7 @ ZC ) ) ) ) ) ) ) ) ) ) ) )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ( p8 @ U ) )
| ~ ! [U: $i] :
( ~ ( r1 @ T @ U )
| ~ ( ~ ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p6 @ ZC )
& ~ ( p7 @ ZC ) )
| ( ( p7 @ ZC )
& ( p6 @ ZC ) ) ) ) ) ) ) ) ) ) )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ( p7 @ V ) )
| ~ ! [V: $i] :
( ~ ( r1 @ U @ V )
| ~ ( ~ ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p5 @ ZC )
& ~ ( p6 @ ZC ) )
| ( ( p6 @ ZC )
& ( p5 @ ZC ) ) ) ) ) ) ) ) ) )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ( p6 @ W ) )
| ~ ! [W: $i] :
( ~ ( r1 @ V @ W )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p4 @ ZC )
& ~ ( p5 @ ZC ) )
| ( ( p5 @ ZC )
& ( p4 @ ZC ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ( p5 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ W @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p3 @ ZC )
& ~ ( p4 @ ZC ) )
| ( ( p4 @ ZC )
& ( p3 @ ZC ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p2 @ ZC )
& ~ ( p3 @ ZC ) )
| ( ( p3 @ ZC )
& ( p2 @ ZC ) ) ) ) ) ) )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ( p3 @ Z ) )
| ~ ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ~ ~ ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p1 @ ZC )
& ~ ( p2 @ ZC ) )
| ( ( p2 @ ZC )
& ( p1 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ( ( p26 @ ZA )
& ( p25 @ ZA )
& ( p24 @ ZA )
& ( p23 @ ZA )
& ( p22 @ ZA )
& ( p21 @ ZA )
& ( p20 @ ZA )
& ( p19 @ ZA )
& ( p18 @ ZA )
& ( p17 @ ZA )
& ( p16 @ ZA )
& ( p15 @ ZA )
& ( p14 @ ZA )
& ( p13 @ ZA )
& ( p12 @ ZA )
& ( p11 @ ZA )
& ( p10 @ ZA )
& ( p9 @ ZA )
& ( p8 @ ZA )
& ( p7 @ ZA )
& ( p6 @ ZA )
& ( p5 @ ZA )
& ( p4 @ ZA )
& ( p3 @ ZA )
& ( p2 @ ZA )
& ( p1 @ ZA ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ( ~ ( p52 @ ZA )
& ~ ( p50 @ ZA )
& ~ ( p48 @ ZA )
& ~ ( p46 @ ZA )
& ~ ( p44 @ ZA )
& ~ ( p42 @ ZA )
& ~ ( p40 @ ZA )
& ~ ( p38 @ ZA )
& ~ ( p36 @ ZA )
& ~ ( p34 @ ZA )
& ~ ( p32 @ ZA )
& ~ ( p30 @ ZA )
& ~ ( p28 @ ZA )
& ~ ( p26 @ ZA )
& ~ ( p24 @ ZA )
& ~ ( p22 @ ZA )
& ~ ( p20 @ ZA )
& ~ ( p18 @ ZA )
& ~ ( p16 @ ZA )
& ~ ( p14 @ ZA )
& ~ ( p12 @ ZA )
& ~ ( p10 @ ZA )
& ~ ( p8 @ ZA )
& ~ ( p6 @ ZA )
& ~ ( p4 @ ZA )
& ~ ( p2 @ ZA ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p27 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p25 @ ZC )
& ~ ( p1 @ ZC ) )
| ( ( p1 @ ZC )
& ( p25 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p24 @ ZC )
& ~ ( p25 @ ZC ) )
| ( ( p25 @ ZC )
& ( p24 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p25 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p23 @ ZC )
& ~ ( p24 @ ZC ) )
| ( ( p24 @ ZC )
& ( p23 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p24 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p22 @ ZC )
& ~ ( p23 @ ZC ) )
| ( ( p23 @ ZC )
& ( p22 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p23 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p21 @ ZC )
& ~ ( p22 @ ZC ) )
| ( ( p22 @ ZC )
& ( p21 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p22 @ G ) )
| ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p20 @ ZC )
& ~ ( p21 @ ZC ) )
| ( ( p21 @ ZC )
& ( p20 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p21 @ H ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ~ ( ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p19 @ ZC )
& ~ ( p20 @ ZC ) )
| ( ( p20 @ ZC )
& ( p19 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p20 @ I ) )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p18 @ ZC )
& ~ ( p19 @ ZC ) )
| ( ( p19 @ ZC )
& ( p18 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p19 @ J ) )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ~ ( ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p17 @ ZC )
& ~ ( p18 @ ZC ) )
| ( ( p18 @ ZC )
& ( p17 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p18 @ K ) )
| ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ~ ( ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p16 @ ZC )
& ~ ( p17 @ ZC ) )
| ( ( p17 @ ZC )
& ( p16 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ( p17 @ L ) )
| ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ~ ( ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p15 @ ZC )
& ~ ( p16 @ ZC ) )
| ( ( p16 @ ZC )
& ( p15 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ( p16 @ M ) )
| ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ~ ( ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p14 @ ZC )
& ~ ( p15 @ ZC ) )
| ( ( p15 @ ZC )
& ( p14 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ( p15 @ N ) )
| ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ~ ( ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p13 @ ZC )
& ~ ( p14 @ ZC ) )
| ( ( p14 @ ZC )
& ( p13 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ( p14 @ O ) )
| ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ~ ( ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p12 @ ZC )
& ~ ( p13 @ ZC ) )
| ( ( p13 @ ZC )
& ( p12 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ( p13 @ P ) )
| ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ~ ( ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p11 @ ZC )
& ~ ( p12 @ ZC ) )
| ( ( p12 @ ZC )
& ( p11 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( p12 @ Q ) )
| ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ~ ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p10 @ ZC )
& ~ ( p11 @ ZC ) )
| ( ( p11 @ ZC )
& ( p10 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ( p11 @ R ) )
| ~ ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ~ ( ~ ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p9 @ ZC )
& ~ ( p10 @ ZC ) )
| ( ( p10 @ ZC )
& ( p9 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ( p10 @ S ) )
| ~ ! [S: $i] :
( ~ ( r1 @ R @ S )
| ~ ( ~ ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p8 @ ZC )
& ~ ( p9 @ ZC ) )
| ( ( p9 @ ZC )
& ( p8 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ( p9 @ T ) )
| ~ ! [T: $i] :
( ~ ( r1 @ S @ T )
| ~ ( ~ ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p7 @ ZC )
& ~ ( p8 @ ZC ) )
| ( ( p8 @ ZC )
& ( p7 @ ZC ) ) ) ) ) ) ) ) ) ) ) )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ( p8 @ U ) )
| ~ ! [U: $i] :
( ~ ( r1 @ T @ U )
| ~ ( ~ ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p6 @ ZC )
& ~ ( p7 @ ZC ) )
| ( ( p7 @ ZC )
& ( p6 @ ZC ) ) ) ) ) ) ) ) ) ) )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ( p7 @ V ) )
| ~ ! [V: $i] :
( ~ ( r1 @ U @ V )
| ~ ( ~ ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p5 @ ZC )
& ~ ( p6 @ ZC ) )
| ( ( p6 @ ZC )
& ( p5 @ ZC ) ) ) ) ) ) ) ) ) )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ( p6 @ W ) )
| ~ ! [W: $i] :
( ~ ( r1 @ V @ W )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p4 @ ZC )
& ~ ( p5 @ ZC ) )
| ( ( p5 @ ZC )
& ( p4 @ ZC ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ( p5 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ W @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p3 @ ZC )
& ~ ( p4 @ ZC ) )
| ( ( p4 @ ZC )
& ( p3 @ ZC ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p4 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p2 @ ZC )
& ~ ( p3 @ ZC ) )
| ( ( p3 @ ZC )
& ( p2 @ ZC ) ) ) ) ) ) )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ( p3 @ Z ) )
| ~ ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ! [ZB: $i] :
( ~ ( r1 @ ZA @ ZB )
| ! [ZC: $i] :
( ~ ( r1 @ ZB @ ZC )
| ~ ( ( ~ ( p1 @ ZC )
& ~ ( p2 @ ZC ) )
| ( ( p2 @ ZC )
& ( p1 @ ZC ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ! [R: $i] :
( ~ ( r1 @ Q @ R )
| ! [S: $i] :
( ~ ( r1 @ R @ S )
| ! [T: $i] :
( ~ ( r1 @ S @ T )
| ! [U: $i] :
( ~ ( r1 @ T @ U )
| ! [V: $i] :
( ~ ( r1 @ U @ V )
| ! [W: $i] :
( ~ ( r1 @ V @ W )
| ! [X: $i] :
( ~ ( r1 @ W @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [Z: $i] :
( ~ ( r1 @ Y @ Z )
| ! [ZA: $i] :
( ~ ( r1 @ Z @ ZA )
| ( ( p26 @ ZA )
& ( p25 @ ZA )
& ( p24 @ ZA )
& ( p23 @ ZA )
& ( p22 @ ZA )
& ( p21 @ ZA )
& ( p20 @ ZA )
& ( p19 @ ZA )
& ( p18 @ ZA )
& ( p17 @ ZA )
& ( p16 @ ZA )
& ( p15 @ ZA )
& ( p14 @ ZA )
& ( p13 @ ZA )
& ( p12 @ ZA )
& ( p11 @ ZA )
& ( p10 @ ZA )
& ( p9 @ ZA )
& ( p8 @ ZA )
& ( p7 @ ZA )
& ( p6 @ ZA )
& ( p5 @ ZA )
& ( p4 @ ZA )
& ( p3 @ ZA )
& ( p2 @ ZA )
& ( p1 @ ZA ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( r1 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(255,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(19574,plain,
$false,
inference(e,[status(thm)],[4,255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL668+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 6 12:02:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.05 % [INFO] Parsing done (216ms).
% 1.45/1.06 % [INFO] Running in sequential loop mode.
% 2.05/1.28 % [INFO] eprover registered as external prover.
% 2.05/1.29 % [INFO] cvc4 registered as external prover.
% 2.05/1.29 % [INFO] Scanning for conjecture ...
% 3.25/1.87 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 3.41/1.98 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 3.41/1.98 % [INFO] Problem is first-order (TPTP FOF).
% 3.67/2.00 % [INFO] Type checking passed.
% 3.67/2.01 % [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 ...
% 81.19/20.95 % External prover 'e' found a proof!
% 81.19/20.95 % [INFO] Killing All external provers ...
% 81.19/20.95 % Time passed: 20432ms (effective reasoning time: 19885ms)
% 81.19/20.95 % 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)>
% 81.19/20.95 % Axioms used in derivation (1): reflexivity
% 81.19/20.95 % No. of inferences in proof: 6
% 81.19/20.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 20432 ms resp. 19885 ms w/o parsing
% 81.55/21.09 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 81.55/21.09 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------