TSTP Solution File: LCL664+1.005 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL664+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 : Fri May 19 11:31:04 EDT 2023
% Result : Theorem 109.61s 19.32s
% Output : Refutation 109.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 46
% Syntax : Number of formulae : 120 ( 12 unt; 44 typ; 0 def)
% Number of atoms : 2203 ( 15 equ; 0 cnn)
% Maximal formula atoms : 390 ( 28 avg)
% Number of connectives : 8179 (2400 ~;1777 |; 320 &;3682 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 83 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 44 usr; 7 con; 0-4 aty)
% Number of variables : 1368 ( 0 ^;1364 !; 4 ?;1368 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p56_type,type,
p56: $i > $o ).
thf(p54_type,type,
p54: $i > $o ).
thf(p52_type,type,
p52: $i > $o ).
thf(p46_type,type,
p46: $i > $o ).
thf(p44_type,type,
p44: $i > $o ).
thf(p42_type,type,
p42: $i > $o ).
thf(p36_type,type,
p36: $i > $o ).
thf(p32_type,type,
p32: $i > $o ).
thf(p55_type,type,
p55: $i > $o ).
thf(p45_type,type,
p45: $i > $o ).
thf(p53_type,type,
p53: $i > $o ).
thf(p51_type,type,
p51: $i > $o ).
thf(p43_type,type,
p43: $i > $o ).
thf(p41_type,type,
p41: $i > $o ).
thf(p26_type,type,
p26: $i > $o ).
thf(p24_type,type,
p24: $i > $o ).
thf(p22_type,type,
p22: $i > $o ).
thf(p35_type,type,
p35: $i > $o ).
thf(p34_type,type,
p34: $i > $o ).
thf(p33_type,type,
p33: $i > $o ).
thf(p31_type,type,
p31: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p25_type,type,
p25: $i > $o ).
thf(p23_type,type,
p23: $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk3_type,type,
sk3: $i > $i > $i > $i > $i ).
thf(sk13_type,type,
sk13: $i > $i > $i > $i > $i ).
thf(sk15_type,type,
sk15: $i > $i > $i > $i > $i ).
thf(sk24_type,type,
sk24: $i > $i > $i > $i > $i ).
thf(sk50_type,type,
sk50: $i > $i > $i ).
thf(sk53_type,type,
sk53: $i > $i ).
thf(sk54_type,type,
sk54: $i > $i ).
thf(sk57_type,type,
sk57: $i > $i > $i ).
thf(sk66_type,type,
sk66: $i ).
thf(sk67_type,type,
sk67: $i ).
thf(sk68_type,type,
sk68: $i ).
thf(sk69_type,type,
sk69: $i ).
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 )
| ( p56 @ 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 )
| ( p54 @ 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 )
| ( p54 @ 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 )
| ( p52 @ 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 )
| ( p56 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p41 @ E ) )
& ~ ( p34 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) )
& ~ ( p12 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p11 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p11 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
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 )
| ( p56 @ 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 )
| ( p54 @ 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 )
| ( p54 @ 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 )
| ( p52 @ 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 )
| ( p56 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p41 @ E ) )
& ~ ( p34 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) )
& ~ ( p12 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p11 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p11 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
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 )
| ( p56 @ 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 )
| ( p54 @ 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 )
| ( p54 @ 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 )
| ( p52 @ 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 )
| ( p56 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p41 @ E ) )
& ~ ( p34 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) )
& ~ ( p12 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p11 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p11 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,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 )
| ( p56 @ 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 )
| ( p54 @ 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 )
| ( p54 @ 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 )
| ( p52 @ 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 )
| ( p56 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p41 @ E ) )
& ~ ( p34 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) )
& ~ ( p12 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p11 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p11 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,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 )
| ( p56 @ 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 )
| ( p54 @ 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 )
| ( p54 @ 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 )
| ( p52 @ 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 )
| ( p56 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p56 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p46 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p44 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p52 @ F ) )
& ~ ( p42 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p46 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p45 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p44 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p43 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p36 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p42 @ E ) )
& ~ ( p32 @ D ) ) ) ) )
| ~ ! [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 )
| ( p55 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p54 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p53 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [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 )
| ( p51 @ F ) )
& ~ ( p41 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p36 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p35 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p41 @ E ) )
& ~ ( p34 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p33 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p26 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p24 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p32 @ D ) )
& ~ ( p22 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p45 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p43 @ E ) )
& ~ ( p31 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p26 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p25 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p24 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p23 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p16 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p22 @ C ) )
& ~ ( p14 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p35 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p34 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p33 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p31 @ D ) )
& ~ ( p21 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p15 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p13 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) )
& ~ ( p12 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p25 @ C ) )
& ~ ( p11 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p23 @ C ) )
& ~ ( p11 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(42,plain,
~ ( p12 @ sk68 ),
inference(cnf,[status(esa)],[6]) ).
thf(31,plain,
r1 @ sk1 @ sk67,
inference(cnf,[status(esa)],[6]) ).
thf(138,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ( r1 @ A @ ( sk53 @ A ) )
| ( p16 @ A ) ),
inference(cnf,[status(esa)],[6]) ).
thf(147,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ( r1 @ A @ ( sk53 @ A ) )
| ( p16 @ A ) ),
inference(simp,[status(thm)],[138]) ).
thf(618,plain,
! [A: $i] :
( ( r1 @ A @ ( sk53 @ A ) )
| ( p16 @ A )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[31,147]) ).
thf(619,plain,
( ( r1 @ sk67 @ ( sk53 @ sk67 ) )
| ( p16 @ sk67 ) ),
inference(pattern_uni,[status(thm)],[618:[bind(A,$thf( sk67 ))]]) ).
thf(28,plain,
r1 @ sk1 @ sk69,
inference(cnf,[status(esa)],[6]) ).
thf(69,plain,
r1 @ sk1 @ sk68,
inference(cnf,[status(esa)],[6]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( p35 @ ( sk50 @ B @ A ) )
| ( p23 @ B ) ),
inference(cnf,[status(esa)],[6]) ).
thf(149,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( p35 @ ( sk50 @ B @ A ) )
| ( p23 @ B ) ),
inference(simp,[status(thm)],[88]) ).
thf(1333,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p35 @ ( sk50 @ B @ A ) )
| ( p23 @ B )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[69,149]) ).
thf(1334,plain,
( ~ ( r1 @ sk1 @ sk1 )
| ~ ( p35 @ ( sk50 @ sk68 @ sk1 ) )
| ( p23 @ sk68 ) ),
inference(pattern_uni,[status(thm)],[1333:[bind(A,$thf( sk1 )),bind(B,$thf( sk68 ))]]) ).
thf(3,axiom,
! [A: $i] : ( r1 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(278,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(279,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(cnf,[status(esa)],[278]) ).
thf(1374,plain,
( ~ $true
| ~ ( p35 @ ( sk50 @ sk68 @ sk1 ) )
| ( p23 @ sk68 ) ),
inference(rewrite,[status(thm)],[1334,279]) ).
thf(1375,plain,
( ~ ( p35 @ ( sk50 @ sk68 @ sk1 ) )
| ( p23 @ sk68 ) ),
inference(simp,[status(thm)],[1374]) ).
thf(124,plain,
r1 @ sk1 @ sk66,
inference(cnf,[status(esa)],[6]) ).
thf(604,plain,
! [A: $i] :
( ( r1 @ A @ ( sk53 @ A ) )
| ( p16 @ A )
| ( ( r1 @ sk1 @ sk66 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[124,147]) ).
thf(605,plain,
( ( r1 @ sk66 @ ( sk53 @ sk66 ) )
| ( p16 @ sk66 ) ),
inference(pattern_uni,[status(thm)],[604:[bind(A,$thf( sk66 ))]]) ).
thf(632,plain,
! [A: $i] :
( ( r1 @ A @ ( sk53 @ A ) )
| ( p16 @ A )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[69,147]) ).
thf(633,plain,
( ( r1 @ sk68 @ ( sk53 @ sk68 ) )
| ( p16 @ sk68 ) ),
inference(pattern_uni,[status(thm)],[632:[bind(A,$thf( sk68 ))]]) ).
thf(1315,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p35 @ ( sk50 @ B @ A ) )
| ( p23 @ B )
| ( ( r1 @ sk1 @ sk69 )
!= ( r1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[28,149]) ).
thf(1316,plain,
( ~ ( r1 @ sk1 @ sk1 )
| ~ ( p35 @ ( sk50 @ sk69 @ sk1 ) )
| ( p23 @ sk69 ) ),
inference(pattern_uni,[status(thm)],[1315:[bind(A,$thf( sk1 )),bind(B,$thf( sk69 ))]]) ).
thf(1370,plain,
( ~ $true
| ~ ( p35 @ ( sk50 @ sk69 @ sk1 ) )
| ( p23 @ sk69 ) ),
inference(rewrite,[status(thm)],[1316,279]) ).
thf(1371,plain,
( ~ ( p35 @ ( sk50 @ sk69 @ sk1 ) )
| ( p23 @ sk69 ) ),
inference(simp,[status(thm)],[1370]) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p54 @ ( sk24 @ D @ C @ B @ A ) )
| ( p41 @ D ) ),
inference(cnf,[status(esa)],[6]) ).
thf(187,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p54 @ ( sk24 @ D @ C @ B @ A ) )
| ( p41 @ D ) ),
inference(simp,[status(thm)],[65]) ).
thf(72,plain,
~ ( p13 @ sk67 ),
inference(cnf,[status(esa)],[6]) ).
thf(606,plain,
! [B: $i,A: $i] :
( ( r1 @ B @ ( sk53 @ B ) )
| ( p16 @ B )
| ( ( r1 @ A @ A )
!= ( r1 @ sk1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[279,147]) ).
thf(607,plain,
( ( r1 @ sk1 @ ( sk53 @ sk1 ) )
| ( p16 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[606:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).
thf(120,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A ) ),
inference(cnf,[status(esa)],[6]) ).
thf(151,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A ) ),
inference(simp,[status(thm)],[120]) ).
thf(881,plain,
! [A: $i] :
( ( p16 @ sk1 )
| ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A )
| ( ( r1 @ sk1 @ ( sk53 @ sk1 ) )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[607,151]) ).
thf(882,plain,
( ( p16 @ sk1 )
| ~ ( p22 @ ( sk54 @ ( sk53 @ sk1 ) ) )
| ( p14 @ ( sk53 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[881:[bind(A,$thf( sk53 @ sk1 ))]]) ).
thf(480,plain,
! [A: $i] :
( ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[69,151]) ).
thf(481,plain,
( ~ ( p22 @ ( sk54 @ sk68 ) )
| ( p14 @ sk68 ) ),
inference(pattern_uni,[status(thm)],[480:[bind(A,$thf( sk68 ))]]) ).
thf(60,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( r1 @ D @ E )
| ( p54 @ E ) ),
inference(cnf,[status(esa)],[6]) ).
thf(179,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( r1 @ D @ E )
| ( p54 @ E ) ),
inference(simp,[status(thm)],[60]) ).
thf(1325,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p35 @ ( sk50 @ B @ A ) )
| ( p23 @ B )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[31,149]) ).
thf(1326,plain,
( ~ ( r1 @ sk1 @ sk1 )
| ~ ( p35 @ ( sk50 @ sk67 @ sk1 ) )
| ( p23 @ sk67 ) ),
inference(pattern_uni,[status(thm)],[1325:[bind(A,$thf( sk1 )),bind(B,$thf( sk67 ))]]) ).
thf(1372,plain,
( ~ $true
| ~ ( p35 @ ( sk50 @ sk67 @ sk1 ) )
| ( p23 @ sk67 ) ),
inference(rewrite,[status(thm)],[1326,279]) ).
thf(1373,plain,
( ~ ( p35 @ ( sk50 @ sk67 @ sk1 ) )
| ( p23 @ sk67 ) ),
inference(simp,[status(thm)],[1372]) ).
thf(484,plain,
! [A: $i] :
( ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A )
| ( ( r1 @ sk1 @ sk66 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[124,151]) ).
thf(485,plain,
( ~ ( p22 @ ( sk54 @ sk66 ) )
| ( p14 @ sk66 ) ),
inference(pattern_uni,[status(thm)],[484:[bind(A,$thf( sk66 ))]]) ).
thf(1337,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p35 @ ( sk50 @ B @ A ) )
| ( p23 @ B )
| ( ( r1 @ sk1 @ sk66 )
!= ( r1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[124,149]) ).
thf(1338,plain,
( ~ ( r1 @ sk1 @ sk1 )
| ~ ( p35 @ ( sk50 @ sk66 @ sk1 ) )
| ( p23 @ sk66 ) ),
inference(pattern_uni,[status(thm)],[1337:[bind(A,$thf( sk1 )),bind(B,$thf( sk66 ))]]) ).
thf(1376,plain,
( ~ $true
| ~ ( p35 @ ( sk50 @ sk66 @ sk1 ) )
| ( p23 @ sk66 ) ),
inference(rewrite,[status(thm)],[1338,279]) ).
thf(1377,plain,
( ~ ( p35 @ ( sk50 @ sk66 @ sk1 ) )
| ( p23 @ sk66 ) ),
inference(simp,[status(thm)],[1376]) ).
thf(488,plain,
! [A: $i] :
( ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[31,151]) ).
thf(489,plain,
( ~ ( p22 @ ( sk54 @ sk67 ) )
| ( p14 @ sk67 ) ),
inference(pattern_uni,[status(thm)],[488:[bind(A,$thf( sk67 ))]]) ).
thf(101,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ( r1 @ B @ ( sk57 @ B @ A ) )
| ( p21 @ B ) ),
inference(cnf,[status(esa)],[6]) ).
thf(148,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ( r1 @ B @ ( sk57 @ B @ A ) )
| ( p21 @ B ) ),
inference(simp,[status(thm)],[101]) ).
thf(140,plain,
~ ( p11 @ sk69 ),
inference(cnf,[status(esa)],[6]) ).
thf(482,plain,
! [A: $i] :
( ~ ( p22 @ ( sk54 @ A ) )
| ( p14 @ A )
| ( ( r1 @ sk1 @ sk69 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[28,151]) ).
thf(483,plain,
( ~ ( p22 @ ( sk54 @ sk69 ) )
| ( p14 @ sk69 ) ),
inference(pattern_uni,[status(thm)],[482:[bind(A,$thf( sk69 ))]]) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p56 @ ( sk3 @ D @ C @ B @ A ) )
| ( p44 @ D ) ),
inference(cnf,[status(esa)],[6]) ).
thf(155,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p56 @ ( sk3 @ D @ C @ B @ A ) )
| ( p44 @ D ) ),
inference(simp,[status(thm)],[24]) ).
thf(35,plain,
~ ( p15 @ sk66 ),
inference(cnf,[status(esa)],[6]) ).
thf(486,plain,
! [B: $i,A: $i] :
( ~ ( p22 @ ( sk54 @ B ) )
| ( p14 @ B )
| ( ( r1 @ A @ A )
!= ( r1 @ sk1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[279,151]) ).
thf(487,plain,
( ~ ( p22 @ ( sk54 @ sk1 ) )
| ( p14 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[486:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).
thf(112,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( r1 @ D @ E )
| ( p56 @ E ) ),
inference(cnf,[status(esa)],[6]) ).
thf(92,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( r1 @ D @ E )
| ( p52 @ E ) ),
inference(cnf,[status(esa)],[6]) ).
thf(186,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( r1 @ D @ E )
| ( p52 @ E ) ),
inference(simp,[status(thm)],[92]) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p55 @ ( sk13 @ D @ C @ B @ A ) )
| ( p45 @ D ) ),
inference(cnf,[status(esa)],[6]) ).
thf(171,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p55 @ ( sk13 @ D @ C @ B @ A ) )
| ( p45 @ D ) ),
inference(simp,[status(thm)],[61]) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p51 @ ( sk15 @ D @ C @ B @ A ) )
| ( p45 @ D ) ),
inference(cnf,[status(esa)],[6]) ).
thf(190,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p51 @ ( sk15 @ D @ C @ B @ A ) )
| ( p45 @ D ) ),
inference(simp,[status(thm)],[53]) ).
thf(602,plain,
! [A: $i] :
( ( r1 @ A @ ( sk53 @ A ) )
| ( p16 @ A )
| ( ( r1 @ sk1 @ sk69 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[28,147]) ).
thf(603,plain,
( ( r1 @ sk69 @ ( sk53 @ sk69 ) )
| ( p16 @ sk69 ) ),
inference(pattern_uni,[status(thm)],[602:[bind(A,$thf( sk69 ))]]) ).
thf(41863,plain,
$false,
inference(e,[status(thm)],[42,619,28,1375,605,633,1371,187,31,72,4,607,882,69,481,179,1373,485,147,1377,124,489,148,279,149,140,483,155,278,35,487,112,186,171,151,190,603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL664+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 16:21:33 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.97/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.59/1.09 % [INFO] Parsing done (174ms).
% 1.59/1.10 % [INFO] Running in sequential loop mode.
% 1.96/1.31 % [INFO] eprover registered as external prover.
% 1.96/1.32 % [INFO] cvc4 registered as external prover.
% 1.96/1.32 % [INFO] Scanning for conjecture ...
% 2.69/1.58 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 2.91/1.65 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.91/1.65 % [INFO] Problem is first-order (TPTP FOF).
% 2.91/1.67 % [INFO] Type checking passed.
% 2.91/1.67 % [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 ...
% 109.61/19.31 % External prover 'e' found a proof!
% 109.61/19.31 % [INFO] Killing All external provers ...
% 109.61/19.31 % Time passed: 18770ms (effective reasoning time: 18209ms)
% 109.61/19.31 % 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)>
% 109.61/19.32 % Axioms used in derivation (1): reflexivity
% 109.61/19.32 % No. of inferences in proof: 76
% 109.61/19.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 18770 ms resp. 18209 ms w/o parsing
% 109.94/19.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 109.94/19.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------