%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 : Fri May 19 11:30:50 EDT 2023
% Result : Theorem 9.87s 3.20s
% Output : Refutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 18 ( 1 unt; 14 typ; 0 def)
% Number of atoms : 2158 ( 0 equ; 0 cnn)
% Maximal formula atoms : 719 ( 539 avg)
% Number of connectives : 6698 (1931 ~;1197 |; 957 &;2613 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 28 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 459 ( 0 ^; 456 !; 3 ?; 459 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p106_type,type,
p106: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(p104_type,type,
p104: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p103_type,type,
p103: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p100_type,type,
p100: $i > $o ).
thf(p1_type,type,
p1: $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 )
| ( p3 @ F ) ) ) ) ) )
| ~ ( ! [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 )
| ~ ( ~ ( p6 @ G )
& ~ ( p106 @ G )
& ( p105 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p6 @ G )
& ~ ( p106 @ G )
& ( p105 @ G ) ) ) )
| ~ ( ~ ( p105 @ F )
& ( p104 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p5 @ G )
& ~ ( p105 @ G )
& ( p104 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p5 @ G )
& ~ ( p105 @ G )
& ( p104 @ G ) ) ) )
| ~ ( ~ ( p104 @ F )
& ( p103 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p4 @ G )
& ~ ( p104 @ G )
& ( p103 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p4 @ G )
& ~ ( p104 @ G )
& ( p103 @ G ) ) ) )
| ~ ( ~ ( p103 @ F )
& ( p102 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p3 @ G )
& ~ ( p103 @ G )
& ( p102 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p3 @ G )
& ~ ( p103 @ G )
& ( p102 @ G ) ) ) )
| ~ ( ~ ( p102 @ F )
& ( p101 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p2 @ G )
& ~ ( p102 @ G )
& ( p101 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p2 @ G )
& ~ ( p102 @ G )
& ( p101 @ G ) ) ) )
| ~ ( ~ ( p101 @ F )
& ( p100 @ F ) ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p6 @ G )
| ~ ( p105 @ G ) )
| ( p6 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p6 @ G )
| ~ ( p105 @ G ) )
| ~ ( p6 @ F ) ) )
| ~ ( p105 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p5 @ G )
| ~ ( p104 @ G ) )
| ( p5 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p5 @ G )
| ~ ( p104 @ G ) )
| ~ ( p5 @ F ) ) )
| ~ ( p104 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p4 @ G )
| ~ ( p103 @ G ) )
| ( p4 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p4 @ G )
| ~ ( p103 @ G ) )
| ~ ( p4 @ F ) ) )
| ~ ( p103 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p3 @ G )
| ~ ( p102 @ G ) )
| ( p3 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p3 @ G )
| ~ ( p102 @ G ) )
| ~ ( p3 @ F ) ) )
| ~ ( p102 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p2 @ G )
| ~ ( p101 @ G ) )
| ( p2 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p2 @ G )
| ~ ( p101 @ G ) )
| ~ ( p2 @ F ) ) )
| ~ ( p101 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p1 @ G )
| ~ ( p100 @ G ) )
| ( p1 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p1 @ G )
| ~ ( p100 @ G ) )
| ~ ( p1 @ F ) ) )
| ~ ( p100 @ F ) )
& ( ( p105 @ F )
| ~ ( p106 @ F ) )
& ( ( p104 @ F )
| ~ ( p105 @ F ) )
& ( ( p103 @ F )
| ~ ( p104 @ F ) )
& ( ( p102 @ F )
| ~ ( p103 @ F ) )
& ( ( p101 @ F )
| ~ ( p102 @ F ) )
& ( ( p100 @ F )
| ~ ( p101 @ F ) ) ) ) ) ) ) )
& ! [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 )
| ~ ( ~ ( p6 @ F )
& ~ ( p106 @ F )
& ( p105 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p6 @ F )
& ~ ( p106 @ F )
& ( p105 @ F ) ) ) )
| ~ ( ~ ( p105 @ E )
& ( p104 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p5 @ F )
& ~ ( p105 @ F )
& ( p104 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p5 @ F )
& ~ ( p105 @ F )
& ( p104 @ F ) ) ) )
| ~ ( ~ ( p104 @ E )
& ( p103 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p4 @ F )
& ~ ( p104 @ F )
& ( p103 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p4 @ F )
& ~ ( p104 @ F )
& ( p103 @ F ) ) ) )
| ~ ( ~ ( p103 @ E )
& ( p102 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p3 @ F )
& ~ ( p103 @ F )
& ( p102 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p3 @ F )
& ~ ( p103 @ F )
& ( p102 @ F ) ) ) )
| ~ ( ~ ( p102 @ E )
& ( p101 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p2 @ F )
& ~ ( p102 @ F )
& ( p101 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p2 @ F )
& ~ ( p102 @ F )
& ( p101 @ F ) ) ) )
| ~ ( ~ ( p101 @ E )
& ( p100 @ E ) ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p6 @ F )
| ~ ( p105 @ F ) )
| ( p6 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p6 @ F )
| ~ ( p105 @ F ) )
| ~ ( p6 @ E ) ) )
| ~ ( p105 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p5 @ F )
| ~ ( p104 @ F ) )
| ( p5 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p5 @ F )
| ~ ( p104 @ F ) )
| ~ ( p5 @ E ) ) )
| ~ ( p104 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p4 @ F )
| ~ ( p103 @ F ) )
| ( p4 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p4 @ F )
| ~ ( p103 @ F ) )
| ~ ( p4 @ E ) ) )
| ~ ( p103 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p3 @ F )
| ~ ( p102 @ F ) )
| ( p3 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p3 @ F )
| ~ ( p102 @ F ) )
| ~ ( p3 @ E ) ) )
| ~ ( p102 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p2 @ F )
| ~ ( p101 @ F ) )
| ( p2 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p2 @ F )
| ~ ( p101 @ F ) )
| ~ ( p2 @ E ) ) )
| ~ ( p101 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p1 @ F )
| ~ ( p100 @ F ) )
| ( p1 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p1 @ F )
| ~ ( p100 @ F ) )
| ~ ( p1 @ E ) ) )
| ~ ( p100 @ E ) )
& ( ( p105 @ E )
| ~ ( p106 @ E ) )
& ( ( p104 @ E )
| ~ ( p105 @ E ) )
& ( ( p103 @ E )
| ~ ( p104 @ E ) )
& ( ( p102 @ E )
| ~ ( p103 @ E ) )
& ( ( p101 @ E )
| ~ ( p102 @ E ) )
& ( ( p100 @ E )
| ~ ( p101 @ E ) ) ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p6 @ E )
& ~ ( p106 @ E )
& ( p105 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p6 @ E )
& ~ ( p106 @ E )
& ( p105 @ E ) ) ) )
| ~ ( ~ ( p105 @ D )
& ( p104 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p5 @ E )
& ~ ( p105 @ E )
& ( p104 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p5 @ E )
& ~ ( p105 @ E )
& ( p104 @ E ) ) ) )
| ~ ( ~ ( p104 @ D )
& ( p103 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p4 @ E )
& ~ ( p104 @ E )
& ( p103 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p4 @ E )
& ~ ( p104 @ E )
& ( p103 @ E ) ) ) )
| ~ ( ~ ( p103 @ D )
& ( p102 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p3 @ E )
& ~ ( p103 @ E )
& ( p102 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p3 @ E )
& ~ ( p103 @ E )
& ( p102 @ E ) ) ) )
| ~ ( ~ ( p102 @ D )
& ( p101 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p2 @ E )
& ~ ( p102 @ E )
& ( p101 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p2 @ E )
& ~ ( p102 @ E )
& ( p101 @ E ) ) ) )
| ~ ( ~ ( p101 @ D )
& ( p100 @ D ) ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p6 @ E )
| ~ ( p105 @ E ) )
| ( p6 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E )
| ~ ( p105 @ E ) )
| ~ ( p6 @ D ) ) )
| ~ ( p105 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p5 @ E )
| ~ ( p104 @ E ) )
| ( p5 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E )
| ~ ( p104 @ E ) )
| ~ ( p5 @ D ) ) )
| ~ ( p104 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p4 @ E )
| ~ ( p103 @ E ) )
| ( p4 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E )
| ~ ( p103 @ E ) )
| ~ ( p4 @ D ) ) )
| ~ ( p103 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p3 @ E )
| ~ ( p102 @ E ) )
| ( p3 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E )
| ~ ( p102 @ E ) )
| ~ ( p3 @ D ) ) )
| ~ ( p102 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p2 @ E )
| ~ ( p101 @ E ) )
| ( p2 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E )
| ~ ( p101 @ E ) )
| ~ ( p2 @ D ) ) )
| ~ ( p101 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p1 @ E )
| ~ ( p100 @ E ) )
| ( p1 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E )
| ~ ( p100 @ E ) )
| ~ ( p1 @ D ) ) )
| ~ ( p100 @ D ) )
& ( ( p105 @ D )
| ~ ( p106 @ D ) )
& ( ( p104 @ D )
| ~ ( p105 @ D ) )
& ( ( p103 @ D )
| ~ ( p104 @ D ) )
& ( ( p102 @ D )
| ~ ( p103 @ D ) )
& ( ( p101 @ D )
| ~ ( p102 @ D ) )
& ( ( p100 @ D )
| ~ ( p101 @ D ) ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p6 @ D )
& ~ ( p106 @ D )
& ( p105 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p6 @ D )
& ~ ( p106 @ D )
& ( p105 @ D ) ) ) )
| ~ ( ~ ( p105 @ C )
& ( p104 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p5 @ D )
& ~ ( p105 @ D )
& ( p104 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p5 @ D )
& ~ ( p105 @ D )
& ( p104 @ D ) ) ) )
| ~ ( ~ ( p104 @ C )
& ( p103 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p4 @ D )
& ~ ( p104 @ D )
& ( p103 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p4 @ D )
& ~ ( p104 @ D )
& ( p103 @ D ) ) ) )
| ~ ( ~ ( p103 @ C )
& ( p102 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p3 @ D )
& ~ ( p103 @ D )
& ( p102 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p3 @ D )
& ~ ( p103 @ D )
& ( p102 @ D ) ) ) )
| ~ ( ~ ( p102 @ C )
& ( p101 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p2 @ D )
& ~ ( p102 @ D )
& ( p101 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p2 @ D )
& ~ ( p102 @ D )
& ( p101 @ D ) ) ) )
| ~ ( ~ ( p101 @ C )
& ( p100 @ C ) ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p6 @ D )
| ~ ( p105 @ D ) )
| ( p6 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D )
| ~ ( p105 @ D ) )
| ~ ( p6 @ C ) ) )
| ~ ( p105 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p5 @ D )
| ~ ( p104 @ D ) )
| ( p5 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D )
| ~ ( p104 @ D ) )
| ~ ( p5 @ C ) ) )
| ~ ( p104 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p4 @ D )
| ~ ( p103 @ D ) )
| ( p4 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D )
| ~ ( p103 @ D ) )
| ~ ( p4 @ C ) ) )
| ~ ( p103 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p3 @ D )
| ~ ( p102 @ D ) )
| ( p3 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D )
| ~ ( p102 @ D ) )
| ~ ( p3 @ C ) ) )
| ~ ( p102 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p2 @ D )
| ~ ( p101 @ D ) )
| ( p2 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D )
| ~ ( p101 @ D ) )
| ~ ( p2 @ C ) ) )
| ~ ( p101 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D )
| ~ ( p100 @ D ) )
| ( p1 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D )
| ~ ( p100 @ D ) )
| ~ ( p1 @ C ) ) )
| ~ ( p100 @ C ) )
& ( ( p105 @ C )
| ~ ( p106 @ C ) )
& ( ( p104 @ C )
| ~ ( p105 @ C ) )
& ( ( p103 @ C )
| ~ ( p104 @ C ) )
& ( ( p102 @ C )
| ~ ( p103 @ C ) )
& ( ( p101 @ C )
| ~ ( p102 @ C ) )
& ( ( p100 @ C )
| ~ ( p101 @ C ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p6 @ C )
& ~ ( p106 @ C )
& ( p105 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ~ ( p106 @ C )
& ( p105 @ C ) ) ) )
| ~ ( ~ ( p105 @ B )
& ( p104 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p5 @ C )
& ~ ( p105 @ C )
& ( p104 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ~ ( p105 @ C )
& ( p104 @ C ) ) ) )
| ~ ( ~ ( p104 @ B )
& ( p103 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p4 @ C )
& ~ ( p104 @ C )
& ( p103 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ~ ( p104 @ C )
& ( p103 @ C ) ) ) )
| ~ ( ~ ( p103 @ B )
& ( p102 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p3 @ C )
& ~ ( p103 @ C )
& ( p102 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ~ ( p103 @ C )
& ( p102 @ C ) ) ) )
| ~ ( ~ ( p102 @ B )
& ( p101 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p2 @ C )
& ~ ( p102 @ C )
& ( p101 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ~ ( p102 @ C )
& ( p101 @ C ) ) ) )
| ~ ( ~ ( p101 @ B )
& ( p100 @ B ) ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p6 @ C )
| ~ ( p105 @ C ) )
| ( p6 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( p105 @ C ) )
| ~ ( p6 @ B ) ) )
| ~ ( p105 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p5 @ C )
| ~ ( p104 @ C ) )
| ( p5 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( p104 @ C ) )
| ~ ( p5 @ B ) ) )
| ~ ( p104 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p4 @ C )
| ~ ( p103 @ C ) )
| ( p4 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( p103 @ C ) )
| ~ ( p4 @ B ) ) )
| ~ ( p103 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p3 @ C )
| ~ ( p102 @ C ) )
| ( p3 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( p102 @ C ) )
| ~ ( p3 @ B ) ) )
| ~ ( p102 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p2 @ C )
| ~ ( p101 @ C ) )
| ( p2 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( p101 @ C ) )
| ~ ( p2 @ B ) ) )
| ~ ( p101 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p1 @ C )
| ~ ( p100 @ C ) )
| ( p1 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C )
| ~ ( p100 @ C ) )
| ~ ( p1 @ B ) ) )
| ~ ( p100 @ B ) )
& ( ( p105 @ B )
| ~ ( p106 @ B ) )
& ( ( p104 @ B )
| ~ ( p105 @ B ) )
& ( ( p103 @ B )
| ~ ( p104 @ B ) )
& ( ( p102 @ B )
| ~ ( p103 @ B ) )
& ( ( p101 @ B )
| ~ ( p102 @ B ) )
& ( ( p100 @ B )
| ~ ( p101 @ B ) ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p6 @ B )
& ~ ( p106 @ B )
& ( p105 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ~ ( p106 @ B )
& ( p105 @ B ) ) ) )
| ~ ( ~ ( p105 @ A )
& ( p104 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p5 @ B )
& ~ ( p105 @ B )
& ( p104 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ~ ( p105 @ B )
& ( p104 @ B ) ) ) )
| ~ ( ~ ( p104 @ A )
& ( p103 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p4 @ B )
& ~ ( p104 @ B )
& ( p103 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ~ ( p104 @ B )
& ( p103 @ B ) ) ) )
| ~ ( ~ ( p103 @ A )
& ( p102 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p3 @ B )
& ~ ( p103 @ B )
& ( p102 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ~ ( p103 @ B )
& ( p102 @ B ) ) ) )
| ~ ( ~ ( p102 @ A )
& ( p101 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p2 @ B )
& ~ ( p102 @ B )
& ( p101 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ~ ( p102 @ B )
& ( p101 @ B ) ) ) )
| ~ ( ~ ( p101 @ A )
& ( p100 @ A ) ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p6 @ B )
| ~ ( p105 @ B ) )
| ( p6 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( p105 @ B ) )
| ~ ( p6 @ A ) ) )
| ~ ( p105 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p5 @ B )
| ~ ( p104 @ B ) )
| ( p5 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( p104 @ B ) )
| ~ ( p5 @ A ) ) )
| ~ ( p104 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p4 @ B )
| ~ ( p103 @ B ) )
| ( p4 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( p103 @ B ) )
| ~ ( p4 @ A ) ) )
| ~ ( p103 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p3 @ B )
| ~ ( p102 @ B ) )
| ( p3 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( p102 @ B ) )
| ~ ( p3 @ A ) ) )
| ~ ( p102 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p2 @ B )
| ~ ( p101 @ B ) )
| ( p2 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( p101 @ B ) )
| ~ ( p2 @ A ) ) )
| ~ ( p101 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p1 @ B )
| ~ ( p100 @ B ) )
| ( p1 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B )
| ~ ( p100 @ B ) )
| ~ ( p1 @ A ) ) )
| ~ ( p100 @ A ) )
& ( ( p105 @ A )
| ~ ( p106 @ A ) )
& ( ( p104 @ A )
| ~ ( p105 @ A ) )
& ( ( p103 @ A )
| ~ ( p104 @ A ) )
& ( ( p102 @ A )
| ~ ( p103 @ A ) )
& ( ( p101 @ A )
| ~ ( p102 @ A ) )
& ( ( p100 @ A )
| ~ ( p101 @ A ) )
& ~ ( p101 @ A )
& ( p100 @ A ) ) ),
file('/export/starexec/sandbox2/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 )
| ( p3 @ F ) ) ) ) ) )
| ~ ( ! [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 )
| ~ ( ~ ( p6 @ G )
& ~ ( p106 @ G )
& ( p105 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p6 @ G )
& ~ ( p106 @ G )
& ( p105 @ G ) ) ) )
| ~ ( ~ ( p105 @ F )
& ( p104 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p5 @ G )
& ~ ( p105 @ G )
& ( p104 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p5 @ G )
& ~ ( p105 @ G )
& ( p104 @ G ) ) ) )
| ~ ( ~ ( p104 @ F )
& ( p103 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p4 @ G )
& ~ ( p104 @ G )
& ( p103 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p4 @ G )
& ~ ( p104 @ G )
& ( p103 @ G ) ) ) )
| ~ ( ~ ( p103 @ F )
& ( p102 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p3 @ G )
& ~ ( p103 @ G )
& ( p102 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p3 @ G )
& ~ ( p103 @ G )
& ( p102 @ G ) ) ) )
| ~ ( ~ ( p102 @ F )
& ( p101 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p2 @ G )
& ~ ( p102 @ G )
& ( p101 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p2 @ G )
& ~ ( p102 @ G )
& ( p101 @ G ) ) ) )
| ~ ( ~ ( p101 @ F )
& ( p100 @ F ) ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p6 @ G )
| ~ ( p105 @ G ) )
| ( p6 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p6 @ G )
| ~ ( p105 @ G ) )
| ~ ( p6 @ F ) ) )
| ~ ( p105 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p5 @ G )
| ~ ( p104 @ G ) )
| ( p5 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p5 @ G )
| ~ ( p104 @ G ) )
| ~ ( p5 @ F ) ) )
| ~ ( p104 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p4 @ G )
| ~ ( p103 @ G ) )
| ( p4 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p4 @ G )
| ~ ( p103 @ G ) )
| ~ ( p4 @ F ) ) )
| ~ ( p103 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p3 @ G )
| ~ ( p102 @ G ) )
| ( p3 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p3 @ G )
| ~ ( p102 @ G ) )
| ~ ( p3 @ F ) ) )
| ~ ( p102 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p2 @ G )
| ~ ( p101 @ G ) )
| ( p2 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p2 @ G )
| ~ ( p101 @ G ) )
| ~ ( p2 @ F ) ) )
| ~ ( p101 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p1 @ G )
| ~ ( p100 @ G ) )
| ( p1 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p1 @ G )
| ~ ( p100 @ G ) )
| ~ ( p1 @ F ) ) )
| ~ ( p100 @ F ) )
& ( ( p105 @ F )
| ~ ( p106 @ F ) )
& ( ( p104 @ F )
| ~ ( p105 @ F ) )
& ( ( p103 @ F )
| ~ ( p104 @ F ) )
& ( ( p102 @ F )
| ~ ( p103 @ F ) )
& ( ( p101 @ F )
| ~ ( p102 @ F ) )
& ( ( p100 @ F )
| ~ ( p101 @ F ) ) ) ) ) ) ) )
& ! [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 )
| ~ ( ~ ( p6 @ F )
& ~ ( p106 @ F )
& ( p105 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p6 @ F )
& ~ ( p106 @ F )
& ( p105 @ F ) ) ) )
| ~ ( ~ ( p105 @ E )
& ( p104 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p5 @ F )
& ~ ( p105 @ F )
& ( p104 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p5 @ F )
& ~ ( p105 @ F )
& ( p104 @ F ) ) ) )
| ~ ( ~ ( p104 @ E )
& ( p103 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p4 @ F )
& ~ ( p104 @ F )
& ( p103 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p4 @ F )
& ~ ( p104 @ F )
& ( p103 @ F ) ) ) )
| ~ ( ~ ( p103 @ E )
& ( p102 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p3 @ F )
& ~ ( p103 @ F )
& ( p102 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p3 @ F )
& ~ ( p103 @ F )
& ( p102 @ F ) ) ) )
| ~ ( ~ ( p102 @ E )
& ( p101 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p2 @ F )
& ~ ( p102 @ F )
& ( p101 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p2 @ F )
& ~ ( p102 @ F )
& ( p101 @ F ) ) ) )
| ~ ( ~ ( p101 @ E )
& ( p100 @ E ) ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p6 @ F )
| ~ ( p105 @ F ) )
| ( p6 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p6 @ F )
| ~ ( p105 @ F ) )
| ~ ( p6 @ E ) ) )
| ~ ( p105 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p5 @ F )
| ~ ( p104 @ F ) )
| ( p5 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p5 @ F )
| ~ ( p104 @ F ) )
| ~ ( p5 @ E ) ) )
| ~ ( p104 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p4 @ F )
| ~ ( p103 @ F ) )
| ( p4 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p4 @ F )
| ~ ( p103 @ F ) )
| ~ ( p4 @ E ) ) )
| ~ ( p103 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p3 @ F )
| ~ ( p102 @ F ) )
| ( p3 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p3 @ F )
| ~ ( p102 @ F ) )
| ~ ( p3 @ E ) ) )
| ~ ( p102 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p2 @ F )
| ~ ( p101 @ F ) )
| ( p2 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p2 @ F )
| ~ ( p101 @ F ) )
| ~ ( p2 @ E ) ) )
| ~ ( p101 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p1 @ F )
| ~ ( p100 @ F ) )
| ( p1 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p1 @ F )
| ~ ( p100 @ F ) )
| ~ ( p1 @ E ) ) )
| ~ ( p100 @ E ) )
& ( ( p105 @ E )
| ~ ( p106 @ E ) )
& ( ( p104 @ E )
| ~ ( p105 @ E ) )
& ( ( p103 @ E )
| ~ ( p104 @ E ) )
& ( ( p102 @ E )
| ~ ( p103 @ E ) )
& ( ( p101 @ E )
| ~ ( p102 @ E ) )
& ( ( p100 @ E )
| ~ ( p101 @ E ) ) ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p6 @ E )
& ~ ( p106 @ E )
& ( p105 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p6 @ E )
& ~ ( p106 @ E )
& ( p105 @ E ) ) ) )
| ~ ( ~ ( p105 @ D )
& ( p104 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p5 @ E )
& ~ ( p105 @ E )
& ( p104 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p5 @ E )
& ~ ( p105 @ E )
& ( p104 @ E ) ) ) )
| ~ ( ~ ( p104 @ D )
& ( p103 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p4 @ E )
& ~ ( p104 @ E )
& ( p103 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p4 @ E )
& ~ ( p104 @ E )
& ( p103 @ E ) ) ) )
| ~ ( ~ ( p103 @ D )
& ( p102 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p3 @ E )
& ~ ( p103 @ E )
& ( p102 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p3 @ E )
& ~ ( p103 @ E )
& ( p102 @ E ) ) ) )
| ~ ( ~ ( p102 @ D )
& ( p101 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p2 @ E )
& ~ ( p102 @ E )
& ( p101 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p2 @ E )
& ~ ( p102 @ E )
& ( p101 @ E ) ) ) )
| ~ ( ~ ( p101 @ D )
& ( p100 @ D ) ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p6 @ E )
| ~ ( p105 @ E ) )
| ( p6 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E )
| ~ ( p105 @ E ) )
| ~ ( p6 @ D ) ) )
| ~ ( p105 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p5 @ E )
| ~ ( p104 @ E ) )
| ( p5 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E )
| ~ ( p104 @ E ) )
| ~ ( p5 @ D ) ) )
| ~ ( p104 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p4 @ E )
| ~ ( p103 @ E ) )
| ( p4 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E )
| ~ ( p103 @ E ) )
| ~ ( p4 @ D ) ) )
| ~ ( p103 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p3 @ E )
| ~ ( p102 @ E ) )
| ( p3 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E )
| ~ ( p102 @ E ) )
| ~ ( p3 @ D ) ) )
| ~ ( p102 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p2 @ E )
| ~ ( p101 @ E ) )
| ( p2 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E )
| ~ ( p101 @ E ) )
| ~ ( p2 @ D ) ) )
| ~ ( p101 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p1 @ E )
| ~ ( p100 @ E ) )
| ( p1 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E )
| ~ ( p100 @ E ) )
| ~ ( p1 @ D ) ) )
| ~ ( p100 @ D ) )
& ( ( p105 @ D )
| ~ ( p106 @ D ) )
& ( ( p104 @ D )
| ~ ( p105 @ D ) )
& ( ( p103 @ D )
| ~ ( p104 @ D ) )
& ( ( p102 @ D )
| ~ ( p103 @ D ) )
& ( ( p101 @ D )
| ~ ( p102 @ D ) )
& ( ( p100 @ D )
| ~ ( p101 @ D ) ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p6 @ D )
& ~ ( p106 @ D )
& ( p105 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p6 @ D )
& ~ ( p106 @ D )
& ( p105 @ D ) ) ) )
| ~ ( ~ ( p105 @ C )
& ( p104 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p5 @ D )
& ~ ( p105 @ D )
& ( p104 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p5 @ D )
& ~ ( p105 @ D )
& ( p104 @ D ) ) ) )
| ~ ( ~ ( p104 @ C )
& ( p103 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p4 @ D )
& ~ ( p104 @ D )
& ( p103 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p4 @ D )
& ~ ( p104 @ D )
& ( p103 @ D ) ) ) )
| ~ ( ~ ( p103 @ C )
& ( p102 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p3 @ D )
& ~ ( p103 @ D )
& ( p102 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p3 @ D )
& ~ ( p103 @ D )
& ( p102 @ D ) ) ) )
| ~ ( ~ ( p102 @ C )
& ( p101 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p2 @ D )
& ~ ( p102 @ D )
& ( p101 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p2 @ D )
& ~ ( p102 @ D )
& ( p101 @ D ) ) ) )
| ~ ( ~ ( p101 @ C )
& ( p100 @ C ) ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p6 @ D )
| ~ ( p105 @ D ) )
| ( p6 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D )
| ~ ( p105 @ D ) )
| ~ ( p6 @ C ) ) )
| ~ ( p105 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p5 @ D )
| ~ ( p104 @ D ) )
| ( p5 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D )
| ~ ( p104 @ D ) )
| ~ ( p5 @ C ) ) )
| ~ ( p104 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p4 @ D )
| ~ ( p103 @ D ) )
| ( p4 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D )
| ~ ( p103 @ D ) )
| ~ ( p4 @ C ) ) )
| ~ ( p103 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p3 @ D )
| ~ ( p102 @ D ) )
| ( p3 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D )
| ~ ( p102 @ D ) )
| ~ ( p3 @ C ) ) )
| ~ ( p102 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p2 @ D )
| ~ ( p101 @ D ) )
| ( p2 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D )
| ~ ( p101 @ D ) )
| ~ ( p2 @ C ) ) )
| ~ ( p101 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D )
| ~ ( p100 @ D ) )
| ( p1 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D )
| ~ ( p100 @ D ) )
| ~ ( p1 @ C ) ) )
| ~ ( p100 @ C ) )
& ( ( p105 @ C )
| ~ ( p106 @ C ) )
& ( ( p104 @ C )
| ~ ( p105 @ C ) )
& ( ( p103 @ C )
| ~ ( p104 @ C ) )
& ( ( p102 @ C )
| ~ ( p103 @ C ) )
& ( ( p101 @ C )
| ~ ( p102 @ C ) )
& ( ( p100 @ C )
| ~ ( p101 @ C ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p6 @ C )
& ~ ( p106 @ C )
& ( p105 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ~ ( p106 @ C )
& ( p105 @ C ) ) ) )
| ~ ( ~ ( p105 @ B )
& ( p104 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p5 @ C )
& ~ ( p105 @ C )
& ( p104 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ~ ( p105 @ C )
& ( p104 @ C ) ) ) )
| ~ ( ~ ( p104 @ B )
& ( p103 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p4 @ C )
& ~ ( p104 @ C )
& ( p103 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ~ ( p104 @ C )
& ( p103 @ C ) ) ) )
| ~ ( ~ ( p103 @ B )
& ( p102 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p3 @ C )
& ~ ( p103 @ C )
& ( p102 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ~ ( p103 @ C )
& ( p102 @ C ) ) ) )
| ~ ( ~ ( p102 @ B )
& ( p101 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p2 @ C )
& ~ ( p102 @ C )
& ( p101 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ~ ( p102 @ C )
& ( p101 @ C ) ) ) )
| ~ ( ~ ( p101 @ B )
& ( p100 @ B ) ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p6 @ C )
| ~ ( p105 @ C ) )
| ( p6 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( p105 @ C ) )
| ~ ( p6 @ B ) ) )
| ~ ( p105 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p5 @ C )
| ~ ( p104 @ C ) )
| ( p5 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( p104 @ C ) )
| ~ ( p5 @ B ) ) )
| ~ ( p104 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p4 @ C )
| ~ ( p103 @ C ) )
| ( p4 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( p103 @ C ) )
| ~ ( p4 @ B ) ) )
| ~ ( p103 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p3 @ C )
| ~ ( p102 @ C ) )
| ( p3 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( p102 @ C ) )
| ~ ( p3 @ B ) ) )
| ~ ( p102 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p2 @ C )
| ~ ( p101 @ C ) )
| ( p2 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( p101 @ C ) )
| ~ ( p2 @ B ) ) )
| ~ ( p101 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p1 @ C )
| ~ ( p100 @ C ) )
| ( p1 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C )
| ~ ( p100 @ C ) )
| ~ ( p1 @ B ) ) )
| ~ ( p100 @ B ) )
& ( ( p105 @ B )
| ~ ( p106 @ B ) )
& ( ( p104 @ B )
| ~ ( p105 @ B ) )
& ( ( p103 @ B )
| ~ ( p104 @ B ) )
& ( ( p102 @ B )
| ~ ( p103 @ B ) )
& ( ( p101 @ B )
| ~ ( p102 @ B ) )
& ( ( p100 @ B )
| ~ ( p101 @ B ) ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p6 @ B )
& ~ ( p106 @ B )
& ( p105 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ~ ( p106 @ B )
& ( p105 @ B ) ) ) )
| ~ ( ~ ( p105 @ A )
& ( p104 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p5 @ B )
& ~ ( p105 @ B )
& ( p104 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ~ ( p105 @ B )
& ( p104 @ B ) ) ) )
| ~ ( ~ ( p104 @ A )
& ( p103 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p4 @ B )
& ~ ( p104 @ B )
& ( p103 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ~ ( p104 @ B )
& ( p103 @ B ) ) ) )
| ~ ( ~ ( p103 @ A )
& ( p102 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p3 @ B )
& ~ ( p103 @ B )
& ( p102 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ~ ( p103 @ B )
& ( p102 @ B ) ) ) )
| ~ ( ~ ( p102 @ A )
& ( p101 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p2 @ B )
& ~ ( p102 @ B )
& ( p101 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ~ ( p102 @ B )
& ( p101 @ B ) ) ) )
| ~ ( ~ ( p101 @ A )
& ( p100 @ A ) ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p6 @ B )
| ~ ( p105 @ B ) )
| ( p6 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( p105 @ B ) )
| ~ ( p6 @ A ) ) )
| ~ ( p105 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p5 @ B )
| ~ ( p104 @ B ) )
| ( p5 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( p104 @ B ) )
| ~ ( p5 @ A ) ) )
| ~ ( p104 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p4 @ B )
| ~ ( p103 @ B ) )
| ( p4 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( p103 @ B ) )
| ~ ( p4 @ A ) ) )
| ~ ( p103 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p3 @ B )
| ~ ( p102 @ B ) )
| ( p3 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( p102 @ B ) )
| ~ ( p3 @ A ) ) )
| ~ ( p102 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p2 @ B )
| ~ ( p101 @ B ) )
| ( p2 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( p101 @ B ) )
| ~ ( p2 @ A ) ) )
| ~ ( p101 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p1 @ B )
| ~ ( p100 @ B ) )
| ( p1 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B )
| ~ ( p100 @ B ) )
| ~ ( p1 @ A ) ) )
| ~ ( p100 @ A ) )
& ( ( p105 @ A )
| ~ ( p106 @ A ) )
& ( ( p104 @ A )
| ~ ( p105 @ A ) )
& ( ( p103 @ A )
| ~ ( p104 @ A ) )
& ( ( p102 @ A )
| ~ ( p103 @ A ) )
& ( ( p101 @ A )
| ~ ( p102 @ A ) )
& ( ( p100 @ A )
| ~ ( p101 @ A ) )
& ~ ( p101 @ A )
& ( p100 @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,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 )
| ( p3 @ F ) ) ) ) ) )
| ~ ( ! [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 )
| ~ ( ~ ( p6 @ G )
& ~ ( p106 @ G )
& ( p105 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p6 @ G )
& ~ ( p106 @ G )
& ( p105 @ G ) ) ) )
| ~ ( ~ ( p105 @ F )
& ( p104 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p5 @ G )
& ~ ( p105 @ G )
& ( p104 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p5 @ G )
& ~ ( p105 @ G )
& ( p104 @ G ) ) ) )
| ~ ( ~ ( p104 @ F )
& ( p103 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p4 @ G )
& ~ ( p104 @ G )
& ( p103 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p4 @ G )
& ~ ( p104 @ G )
& ( p103 @ G ) ) ) )
| ~ ( ~ ( p103 @ F )
& ( p102 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p3 @ G )
& ~ ( p103 @ G )
& ( p102 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p3 @ G )
& ~ ( p103 @ G )
& ( p102 @ G ) ) ) )
| ~ ( ~ ( p102 @ F )
& ( p101 @ F ) ) )
& ( ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ( p2 @ G )
& ~ ( p102 @ G )
& ( p101 @ G ) ) )
& ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ( p2 @ G )
& ~ ( p102 @ G )
& ( p101 @ G ) ) ) )
| ~ ( ~ ( p101 @ F )
& ( p100 @ F ) ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p6 @ G )
| ~ ( p105 @ G ) )
| ( p6 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p6 @ G )
| ~ ( p105 @ G ) )
| ~ ( p6 @ F ) ) )
| ~ ( p105 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p5 @ G )
| ~ ( p104 @ G ) )
| ( p5 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p5 @ G )
| ~ ( p104 @ G ) )
| ~ ( p5 @ F ) ) )
| ~ ( p104 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p4 @ G )
| ~ ( p103 @ G ) )
| ( p4 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p4 @ G )
| ~ ( p103 @ G ) )
| ~ ( p4 @ F ) ) )
| ~ ( p103 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p3 @ G )
| ~ ( p102 @ G ) )
| ( p3 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p3 @ G )
| ~ ( p102 @ G ) )
| ~ ( p3 @ F ) ) )
| ~ ( p102 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p2 @ G )
| ~ ( p101 @ G ) )
| ( p2 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p2 @ G )
| ~ ( p101 @ G ) )
| ~ ( p2 @ F ) ) )
| ~ ( p101 @ F ) )
& ( ( ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( p1 @ G )
| ~ ( p100 @ G ) )
| ( p1 @ F ) )
& ( ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p1 @ G )
| ~ ( p100 @ G ) )
| ~ ( p1 @ F ) ) )
| ~ ( p100 @ F ) )
& ( ( p105 @ F )
| ~ ( p106 @ F ) )
& ( ( p104 @ F )
| ~ ( p105 @ F ) )
& ( ( p103 @ F )
| ~ ( p104 @ F ) )
& ( ( p102 @ F )
| ~ ( p103 @ F ) )
& ( ( p101 @ F )
| ~ ( p102 @ F ) )
& ( ( p100 @ F )
| ~ ( p101 @ F ) ) ) ) ) ) ) )
& ! [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 )
| ~ ( ~ ( p6 @ F )
& ~ ( p106 @ F )
& ( p105 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p6 @ F )
& ~ ( p106 @ F )
& ( p105 @ F ) ) ) )
| ~ ( ~ ( p105 @ E )
& ( p104 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p5 @ F )
& ~ ( p105 @ F )
& ( p104 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p5 @ F )
& ~ ( p105 @ F )
& ( p104 @ F ) ) ) )
| ~ ( ~ ( p104 @ E )
& ( p103 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p4 @ F )
& ~ ( p104 @ F )
& ( p103 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p4 @ F )
& ~ ( p104 @ F )
& ( p103 @ F ) ) ) )
| ~ ( ~ ( p103 @ E )
& ( p102 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p3 @ F )
& ~ ( p103 @ F )
& ( p102 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p3 @ F )
& ~ ( p103 @ F )
& ( p102 @ F ) ) ) )
| ~ ( ~ ( p102 @ E )
& ( p101 @ E ) ) )
& ( ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ( p2 @ F )
& ~ ( p102 @ F )
& ( p101 @ F ) ) )
& ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ( p2 @ F )
& ~ ( p102 @ F )
& ( p101 @ F ) ) ) )
| ~ ( ~ ( p101 @ E )
& ( p100 @ E ) ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p6 @ F )
| ~ ( p105 @ F ) )
| ( p6 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p6 @ F )
| ~ ( p105 @ F ) )
| ~ ( p6 @ E ) ) )
| ~ ( p105 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p5 @ F )
| ~ ( p104 @ F ) )
| ( p5 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p5 @ F )
| ~ ( p104 @ F ) )
| ~ ( p5 @ E ) ) )
| ~ ( p104 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p4 @ F )
| ~ ( p103 @ F ) )
| ( p4 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p4 @ F )
| ~ ( p103 @ F ) )
| ~ ( p4 @ E ) ) )
| ~ ( p103 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p3 @ F )
| ~ ( p102 @ F ) )
| ( p3 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p3 @ F )
| ~ ( p102 @ F ) )
| ~ ( p3 @ E ) ) )
| ~ ( p102 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p2 @ F )
| ~ ( p101 @ F ) )
| ( p2 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p2 @ F )
| ~ ( p101 @ F ) )
| ~ ( p2 @ E ) ) )
| ~ ( p101 @ E ) )
& ( ( ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p1 @ F )
| ~ ( p100 @ F ) )
| ( p1 @ E ) )
& ( ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p1 @ F )
| ~ ( p100 @ F ) )
| ~ ( p1 @ E ) ) )
| ~ ( p100 @ E ) )
& ( ( p105 @ E )
| ~ ( p106 @ E ) )
& ( ( p104 @ E )
| ~ ( p105 @ E ) )
& ( ( p103 @ E )
| ~ ( p104 @ E ) )
& ( ( p102 @ E )
| ~ ( p103 @ E ) )
& ( ( p101 @ E )
| ~ ( p102 @ E ) )
& ( ( p100 @ E )
| ~ ( p101 @ E ) ) ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p6 @ E )
& ~ ( p106 @ E )
& ( p105 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p6 @ E )
& ~ ( p106 @ E )
& ( p105 @ E ) ) ) )
| ~ ( ~ ( p105 @ D )
& ( p104 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p5 @ E )
& ~ ( p105 @ E )
& ( p104 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p5 @ E )
& ~ ( p105 @ E )
& ( p104 @ E ) ) ) )
| ~ ( ~ ( p104 @ D )
& ( p103 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p4 @ E )
& ~ ( p104 @ E )
& ( p103 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p4 @ E )
& ~ ( p104 @ E )
& ( p103 @ E ) ) ) )
| ~ ( ~ ( p103 @ D )
& ( p102 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p3 @ E )
& ~ ( p103 @ E )
& ( p102 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p3 @ E )
& ~ ( p103 @ E )
& ( p102 @ E ) ) ) )
| ~ ( ~ ( p102 @ D )
& ( p101 @ D ) ) )
& ( ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ( p2 @ E )
& ~ ( p102 @ E )
& ( p101 @ E ) ) )
& ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ( p2 @ E )
& ~ ( p102 @ E )
& ( p101 @ E ) ) ) )
| ~ ( ~ ( p101 @ D )
& ( p100 @ D ) ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p6 @ E )
| ~ ( p105 @ E ) )
| ( p6 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E )
| ~ ( p105 @ E ) )
| ~ ( p6 @ D ) ) )
| ~ ( p105 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p5 @ E )
| ~ ( p104 @ E ) )
| ( p5 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E )
| ~ ( p104 @ E ) )
| ~ ( p5 @ D ) ) )
| ~ ( p104 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p4 @ E )
| ~ ( p103 @ E ) )
| ( p4 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E )
| ~ ( p103 @ E ) )
| ~ ( p4 @ D ) ) )
| ~ ( p103 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p3 @ E )
| ~ ( p102 @ E ) )
| ( p3 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E )
| ~ ( p102 @ E ) )
| ~ ( p3 @ D ) ) )
| ~ ( p102 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p2 @ E )
| ~ ( p101 @ E ) )
| ( p2 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E )
| ~ ( p101 @ E ) )
| ~ ( p2 @ D ) ) )
| ~ ( p101 @ D ) )
& ( ( ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( p1 @ E )
| ~ ( p100 @ E ) )
| ( p1 @ D ) )
& ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E )
| ~ ( p100 @ E ) )
| ~ ( p1 @ D ) ) )
| ~ ( p100 @ D ) )
& ( ( p105 @ D )
| ~ ( p106 @ D ) )
& ( ( p104 @ D )
| ~ ( p105 @ D ) )
& ( ( p103 @ D )
| ~ ( p104 @ D ) )
& ( ( p102 @ D )
| ~ ( p103 @ D ) )
& ( ( p101 @ D )
| ~ ( p102 @ D ) )
& ( ( p100 @ D )
| ~ ( p101 @ D ) ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p6 @ D )
& ~ ( p106 @ D )
& ( p105 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p6 @ D )
& ~ ( p106 @ D )
& ( p105 @ D ) ) ) )
| ~ ( ~ ( p105 @ C )
& ( p104 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p5 @ D )
& ~ ( p105 @ D )
& ( p104 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p5 @ D )
& ~ ( p105 @ D )
& ( p104 @ D ) ) ) )
| ~ ( ~ ( p104 @ C )
& ( p103 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p4 @ D )
& ~ ( p104 @ D )
& ( p103 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p4 @ D )
& ~ ( p104 @ D )
& ( p103 @ D ) ) ) )
| ~ ( ~ ( p103 @ C )
& ( p102 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p3 @ D )
& ~ ( p103 @ D )
& ( p102 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p3 @ D )
& ~ ( p103 @ D )
& ( p102 @ D ) ) ) )
| ~ ( ~ ( p102 @ C )
& ( p101 @ C ) ) )
& ( ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ( p2 @ D )
& ~ ( p102 @ D )
& ( p101 @ D ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ( p2 @ D )
& ~ ( p102 @ D )
& ( p101 @ D ) ) ) )
| ~ ( ~ ( p101 @ C )
& ( p100 @ C ) ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p6 @ D )
| ~ ( p105 @ D ) )
| ( p6 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D )
| ~ ( p105 @ D ) )
| ~ ( p6 @ C ) ) )
| ~ ( p105 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p5 @ D )
| ~ ( p104 @ D ) )
| ( p5 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D )
| ~ ( p104 @ D ) )
| ~ ( p5 @ C ) ) )
| ~ ( p104 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p4 @ D )
| ~ ( p103 @ D ) )
| ( p4 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D )
| ~ ( p103 @ D ) )
| ~ ( p4 @ C ) ) )
| ~ ( p103 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p3 @ D )
| ~ ( p102 @ D ) )
| ( p3 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D )
| ~ ( p102 @ D ) )
| ~ ( p3 @ C ) ) )
| ~ ( p102 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p2 @ D )
| ~ ( p101 @ D ) )
| ( p2 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D )
| ~ ( p101 @ D ) )
| ~ ( p2 @ C ) ) )
| ~ ( p101 @ C ) )
& ( ( ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D )
| ~ ( p100 @ D ) )
| ( p1 @ C ) )
& ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D )
| ~ ( p100 @ D ) )
| ~ ( p1 @ C ) ) )
| ~ ( p100 @ C ) )
& ( ( p105 @ C )
| ~ ( p106 @ C ) )
& ( ( p104 @ C )
| ~ ( p105 @ C ) )
& ( ( p103 @ C )
| ~ ( p104 @ C ) )
& ( ( p102 @ C )
| ~ ( p103 @ C ) )
& ( ( p101 @ C )
| ~ ( p102 @ C ) )
& ( ( p100 @ C )
| ~ ( p101 @ C ) ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p6 @ C )
& ~ ( p106 @ C )
& ( p105 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ~ ( p106 @ C )
& ( p105 @ C ) ) ) )
| ~ ( ~ ( p105 @ B )
& ( p104 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p5 @ C )
& ~ ( p105 @ C )
& ( p104 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ~ ( p105 @ C )
& ( p104 @ C ) ) ) )
| ~ ( ~ ( p104 @ B )
& ( p103 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p4 @ C )
& ~ ( p104 @ C )
& ( p103 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ~ ( p104 @ C )
& ( p103 @ C ) ) ) )
| ~ ( ~ ( p103 @ B )
& ( p102 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p3 @ C )
& ~ ( p103 @ C )
& ( p102 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ~ ( p103 @ C )
& ( p102 @ C ) ) ) )
| ~ ( ~ ( p102 @ B )
& ( p101 @ B ) ) )
& ( ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ( p2 @ C )
& ~ ( p102 @ C )
& ( p101 @ C ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ~ ( p102 @ C )
& ( p101 @ C ) ) ) )
| ~ ( ~ ( p101 @ B )
& ( p100 @ B ) ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p6 @ C )
| ~ ( p105 @ C ) )
| ( p6 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( p105 @ C ) )
| ~ ( p6 @ B ) ) )
| ~ ( p105 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p5 @ C )
| ~ ( p104 @ C ) )
| ( p5 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( p104 @ C ) )
| ~ ( p5 @ B ) ) )
| ~ ( p104 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p4 @ C )
| ~ ( p103 @ C ) )
| ( p4 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( p103 @ C ) )
| ~ ( p4 @ B ) ) )
| ~ ( p103 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p3 @ C )
| ~ ( p102 @ C ) )
| ( p3 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( p102 @ C ) )
| ~ ( p3 @ B ) ) )
| ~ ( p102 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p2 @ C )
| ~ ( p101 @ C ) )
| ( p2 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( p101 @ C ) )
| ~ ( p2 @ B ) ) )
| ~ ( p101 @ B ) )
& ( ( ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p1 @ C )
| ~ ( p100 @ C ) )
| ( p1 @ B ) )
& ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C )
| ~ ( p100 @ C ) )
| ~ ( p1 @ B ) ) )
| ~ ( p100 @ B ) )
& ( ( p105 @ B )
| ~ ( p106 @ B ) )
& ( ( p104 @ B )
| ~ ( p105 @ B ) )
& ( ( p103 @ B )
| ~ ( p104 @ B ) )
& ( ( p102 @ B )
| ~ ( p103 @ B ) )
& ( ( p101 @ B )
| ~ ( p102 @ B ) )
& ( ( p100 @ B )
| ~ ( p101 @ B ) ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p6 @ B )
& ~ ( p106 @ B )
& ( p105 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ~ ( p106 @ B )
& ( p105 @ B ) ) ) )
| ~ ( ~ ( p105 @ A )
& ( p104 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p5 @ B )
& ~ ( p105 @ B )
& ( p104 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ~ ( p105 @ B )
& ( p104 @ B ) ) ) )
| ~ ( ~ ( p104 @ A )
& ( p103 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p4 @ B )
& ~ ( p104 @ B )
& ( p103 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ~ ( p104 @ B )
& ( p103 @ B ) ) ) )
| ~ ( ~ ( p103 @ A )
& ( p102 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p3 @ B )
& ~ ( p103 @ B )
& ( p102 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ~ ( p103 @ B )
& ( p102 @ B ) ) ) )
| ~ ( ~ ( p102 @ A )
& ( p101 @ A ) ) )
& ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ( p2 @ B )
& ~ ( p102 @ B )
& ( p101 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ~ ( p102 @ B )
& ( p101 @ B ) ) ) )
| ~ ( ~ ( p101 @ A )
& ( p100 @ A ) ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p6 @ B )
| ~ ( p105 @ B ) )
| ( p6 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( p105 @ B ) )
| ~ ( p6 @ A ) ) )
| ~ ( p105 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p5 @ B )
| ~ ( p104 @ B ) )
| ( p5 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( p104 @ B ) )
| ~ ( p5 @ A ) ) )
| ~ ( p104 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p4 @ B )
| ~ ( p103 @ B ) )
| ( p4 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( p103 @ B ) )
| ~ ( p4 @ A ) ) )
| ~ ( p103 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p3 @ B )
| ~ ( p102 @ B ) )
| ( p3 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( p102 @ B ) )
| ~ ( p3 @ A ) ) )
| ~ ( p102 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p2 @ B )
| ~ ( p101 @ B ) )
| ( p2 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( p101 @ B ) )
| ~ ( p2 @ A ) ) )
| ~ ( p101 @ A ) )
& ( ( ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p1 @ B )
| ~ ( p100 @ B ) )
| ( p1 @ A ) )
& ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B )
| ~ ( p100 @ B ) )
| ~ ( p1 @ A ) ) )
| ~ ( p100 @ A ) )
& ( ( p105 @ A )
| ~ ( p106 @ A ) )
& ( ( p104 @ A )
| ~ ( p105 @ A ) )
& ( ( p103 @ A )
| ~ ( p104 @ A ) )
& ( ( p102 @ A )
| ~ ( p103 @ A ) )
& ( ( p101 @ A )
| ~ ( p102 @ A ) )
& ( ( p100 @ A )
| ~ ( p101 @ A ) )
& ~ ( p101 @ A )
& ( p100 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1253,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 15:50:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.94/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.41/1.02 % [INFO] Parsing done (185ms).
% 1.41/1.03 % [INFO] Running in sequential loop mode.
% 1.87/1.22 % [INFO] eprover registered as external prover.
% 1.87/1.22 % [INFO] cvc4 registered as external prover.
% 1.87/1.22 % [INFO] Scanning for conjecture ...
% 2.42/1.43 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.67/1.47 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.67/1.47 % [INFO] Problem is first-order (TPTP FOF).
% 2.67/1.49 % [INFO] Type checking passed.
% 2.67/1.49 % [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 ...
% 9.87/3.20 % External prover 'e' found a proof!
% 9.87/3.20 % [INFO] Killing All external provers ...
% 9.87/3.20 % Time passed: 2688ms (effective reasoning time: 2170ms)
% 9.87/3.20 % 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)>
% 9.87/3.20 % Axioms used in derivation (0):
% 9.87/3.20 % No. of inferences in proof: 4
% 9.87/3.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2688 ms resp. 2170 ms w/o parsing
% 9.92/3.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.92/3.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------