%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL646+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 11:30:56 EDT 2023
% Result : Theorem 84.50s 15.42s
% Output : Refutation 84.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 93 ( 10 unt; 18 typ; 0 def)
% Number of atoms : 2229 ( 42 equ; 0 cnn)
% Maximal formula atoms : 390 ( 29 avg)
% Number of connectives : 8233 (2422 ~;1798 |; 320 &;3693 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 83 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 1358 ( 0 ^;1354 !; 4 ?;1358 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk6_type,type,
sk6: $i > $i > $i > $i > $i ).
thf(sk7_type,type,
sk7: $i > $i > $i > $i > $i ).
thf(sk28_type,type,
sk28: $i > $i > $i ).
thf(sk39_type,type,
sk39: $i > $i > $i ).
thf(sk44_type,type,
sk44: $i > $i ).
thf(sk60_type,type,
sk60: $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 )
| ( p6 @ 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 )
| ( p4 @ 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 )
| ( p4 @ 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 )
| ( p2 @ 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 ) )
& ~ ( p6 @ 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 )
| ( p6 @ F ) )
& ~ ( p4 @ 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 )
| ( p6 @ F ) )
& ~ ( p2 @ 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 )
| ( p4 @ F ) )
& ~ ( p6 @ 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 )
| ( p4 @ F ) )
& ~ ( p4 @ 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 )
| ( p4 @ F ) )
& ~ ( p2 @ 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 )
| ( p2 @ F ) )
& ~ ( p6 @ 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 )
| ( p2 @ F ) )
& ~ ( p4 @ 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 )
| ( p2 @ F ) )
& ~ ( p2 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p5 @ 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 )
| ( p3 @ F ) )
& ~ ( p5 @ 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 )
| ( p1 @ F ) )
& ~ ( p5 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p3 @ 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 )
| ( p3 @ F ) )
& ~ ( p3 @ 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 )
| ( p1 @ F ) )
& ~ ( p3 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p1 @ 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 )
| ( p4 @ F ) )
& ~ ( p1 @ 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 )
| ( p3 @ F ) )
& ~ ( p1 @ 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 )
| ( p1 @ F ) )
& ~ ( p1 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) )
& ~ ( p4 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ~ ( p2 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p1 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ 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 )
| ( p6 @ 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 )
| ( p4 @ 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 )
| ( p4 @ 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 )
| ( p2 @ 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 ) )
& ~ ( p6 @ 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 )
| ( p6 @ F ) )
& ~ ( p4 @ 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 )
| ( p6 @ F ) )
& ~ ( p2 @ 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 )
| ( p4 @ F ) )
& ~ ( p6 @ 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 )
| ( p4 @ F ) )
& ~ ( p4 @ 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 )
| ( p4 @ F ) )
& ~ ( p2 @ 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 )
| ( p2 @ F ) )
& ~ ( p6 @ 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 )
| ( p2 @ F ) )
& ~ ( p4 @ 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 )
| ( p2 @ F ) )
& ~ ( p2 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p5 @ 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 )
| ( p3 @ F ) )
& ~ ( p5 @ 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 )
| ( p1 @ F ) )
& ~ ( p5 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p3 @ 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 )
| ( p3 @ F ) )
& ~ ( p3 @ 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 )
| ( p1 @ F ) )
& ~ ( p3 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p1 @ 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 )
| ( p4 @ F ) )
& ~ ( p1 @ 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 )
| ( p3 @ F ) )
& ~ ( p1 @ 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 )
| ( p1 @ F ) )
& ~ ( p1 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) )
& ~ ( p4 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ~ ( p2 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p1 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) ),
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 )
| ( p6 @ 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 )
| ( p4 @ 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 )
| ( p4 @ 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 )
| ( p2 @ 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 ) )
& ~ ( p6 @ 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 )
| ( p6 @ F ) )
& ~ ( p4 @ 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 )
| ( p6 @ F ) )
& ~ ( p2 @ 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 )
| ( p4 @ F ) )
& ~ ( p6 @ 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 )
| ( p4 @ F ) )
& ~ ( p4 @ 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 )
| ( p4 @ F ) )
& ~ ( p2 @ 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 )
| ( p2 @ F ) )
& ~ ( p6 @ 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 )
| ( p2 @ F ) )
& ~ ( p4 @ 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 )
| ( p2 @ F ) )
& ~ ( p2 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p5 @ 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 )
| ( p3 @ F ) )
& ~ ( p5 @ 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 )
| ( p1 @ F ) )
& ~ ( p5 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p3 @ 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 )
| ( p3 @ F ) )
& ~ ( p3 @ 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 )
| ( p1 @ F ) )
& ~ ( p3 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p1 @ 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 )
| ( p4 @ F ) )
& ~ ( p1 @ 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 )
| ( p3 @ F ) )
& ~ ( p1 @ 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 )
| ( p1 @ F ) )
& ~ ( p1 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) )
& ~ ( p4 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ~ ( p2 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p1 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
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 )
| ( p6 @ 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 )
| ( p4 @ 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 )
| ( p4 @ 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 )
| ( p2 @ 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 ) )
& ~ ( p6 @ 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 )
| ( p6 @ F ) )
& ~ ( p4 @ 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 )
| ( p6 @ F ) )
& ~ ( p2 @ 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 )
| ( p4 @ F ) )
& ~ ( p6 @ 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 )
| ( p4 @ F ) )
& ~ ( p4 @ 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 )
| ( p4 @ F ) )
& ~ ( p2 @ 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 )
| ( p2 @ F ) )
& ~ ( p6 @ 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 )
| ( p2 @ F ) )
& ~ ( p4 @ 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 )
| ( p2 @ F ) )
& ~ ( p2 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p5 @ 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 )
| ( p3 @ F ) )
& ~ ( p5 @ 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 )
| ( p1 @ F ) )
& ~ ( p5 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p3 @ 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 )
| ( p3 @ F ) )
& ~ ( p3 @ 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 )
| ( p1 @ F ) )
& ~ ( p3 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p1 @ 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 )
| ( p4 @ F ) )
& ~ ( p1 @ 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 )
| ( p3 @ F ) )
& ~ ( p1 @ 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 )
| ( p1 @ F ) )
& ~ ( p1 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) )
& ~ ( p4 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ~ ( p2 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p1 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) ),
inference(polarity_switch,[status(thm)],[3]) ).
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 )
| ( p6 @ 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 )
| ( p4 @ 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 )
| ( p4 @ 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 )
| ( p2 @ 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 ) )
& ~ ( p6 @ 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 )
| ( p6 @ F ) )
& ~ ( p4 @ 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 )
| ( p6 @ F ) )
& ~ ( p2 @ 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 )
| ( p4 @ F ) )
& ~ ( p6 @ 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 )
| ( p4 @ F ) )
& ~ ( p4 @ 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 )
| ( p4 @ F ) )
& ~ ( p2 @ 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 )
| ( p2 @ F ) )
& ~ ( p6 @ 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 )
| ( p2 @ F ) )
& ~ ( p4 @ 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 )
| ( p2 @ F ) )
& ~ ( p2 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p6 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p5 @ 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 )
| ( p3 @ F ) )
& ~ ( p5 @ 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 )
| ( p1 @ F ) )
& ~ ( p5 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p4 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p3 @ 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 )
| ( p3 @ F ) )
& ~ ( p3 @ 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 )
| ( p1 @ F ) )
& ~ ( p3 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p6 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p2 @ E ) )
& ~ ( p2 @ 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 )
| ( p5 @ F ) )
& ~ ( p1 @ 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 )
| ( p4 @ F ) )
& ~ ( p1 @ 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 )
| ( p3 @ F ) )
& ~ ( p1 @ 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 )
| ( p1 @ F ) )
& ~ ( p1 @ E ) ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p5 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) )
& ~ ( p4 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p3 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p6 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p4 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ~ ( p2 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p5 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
& ~ ( p1 @ D ) ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p5 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p3 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p6 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ~ ( p4 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ~ ( p1 @ C ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p5 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p3 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ~ ( p2 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ~ ( p1 @ B ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ~ ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(69,plain,
~ ( p3 @ sk67 ),
inference(cnf,[status(esa)],[5]) ).
thf(142,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 )
| ( p2 @ E ) ),
inference(cnf,[status(esa)],[5]) ).
thf(153,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 )
| ( p2 @ E ) ),
inference(simp,[status(thm)],[142]) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p4 @ ( sk6 @ D @ C @ B @ A ) )
| ( p4 @ D ) ),
inference(cnf,[status(esa)],[5]) ).
thf(164,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p4 @ ( sk6 @ D @ C @ B @ A ) )
| ( p4 @ D ) ),
inference(simp,[status(thm)],[57]) ).
thf(101,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( p2 @ ( sk39 @ B @ A ) )
| ( p4 @ B ) ),
inference(cnf,[status(esa)],[5]) ).
thf(147,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( p2 @ ( sk39 @ B @ A ) )
| ( p4 @ B ) ),
inference(simp,[status(thm)],[101]) ).
thf(20,plain,
r1 @ sk1 @ sk66,
inference(cnf,[status(esa)],[5]) ).
thf(7,plain,
r1 @ sk1 @ sk68,
inference(cnf,[status(esa)],[5]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( p6 @ ( sk28 @ B @ A ) )
| ( p4 @ B ) ),
inference(cnf,[status(esa)],[5]) ).
thf(146,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( p6 @ ( sk28 @ B @ A ) )
| ( p4 @ B ) ),
inference(simp,[status(thm)],[138]) ).
thf(652,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p6 @ ( sk28 @ B @ A ) )
| ( p4 @ B )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7,146]) ).
thf(653,plain,
( ~ ( r1 @ sk1 @ sk1 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( p4 @ sk68 ) ),
inference(pattern_uni,[status(thm)],[652:[bind(A,$thf( sk1 )),bind(B,$thf( sk68 ))]]) ).
thf(847,plain,
( ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( p4 @ sk68 )
| ( ( r1 @ sk1 @ sk66 )
!= ( r1 @ sk1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[20,653]) ).
thf(856,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk1 != sk1 )
| ( sk66 != sk1 ) ),
inference(simp,[status(thm)],[847]) ).
thf(862,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk66 != sk1 ) ),
inference(simp,[status(thm)],[856]) ).
thf(10,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A ) ),
inference(cnf,[status(esa)],[5]) ).
thf(151,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A ) ),
inference(simp,[status(thm)],[10]) ).
thf(555,plain,
! [A: $i] :
( ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[7,151]) ).
thf(556,plain,
( ( r1 @ sk68 @ ( sk44 @ sk68 ) )
| ( p4 @ sk68 ) ),
inference(pattern_uni,[status(thm)],[555:[bind(A,$thf( sk68 ))]]) ).
thf(612,plain,
! [A: $i] :
( ( p4 @ sk68 )
| ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A )
| ( ( r1 @ sk68 @ ( sk44 @ sk68 ) )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[556,151]) ).
thf(635,plain,
! [A: $i] :
( ( p4 @ sk68 )
| ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A )
| ( sk68 != sk1 )
| ( ( sk44 @ sk68 )
!= A ) ),
inference(simp,[status(thm)],[612]) ).
thf(647,plain,
( ( p4 @ sk68 )
| ( r1 @ ( sk44 @ sk68 ) @ ( sk44 @ ( sk44 @ sk68 ) ) )
| ( p4 @ ( sk44 @ sk68 ) )
| ( sk68 != sk1 ) ),
inference(simp,[status(thm)],[635]) ).
thf(843,plain,
( ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( p4 @ sk68 )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ sk1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[7,653]) ).
thf(853,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk1 != sk1 )
| ( sk68 != sk1 ) ),
inference(simp,[status(thm)],[843]) ).
thf(861,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk68 != sk1 ) ),
inference(simp,[status(thm)],[853]) ).
thf(115,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p4 @ ( sk7 @ D @ C @ B @ A ) )
| ( p2 @ D ) ),
inference(cnf,[status(esa)],[5]) ).
thf(149,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ~ ( p4 @ ( sk7 @ D @ C @ B @ A ) )
| ( p2 @ D ) ),
inference(simp,[status(thm)],[115]) ).
thf(1179,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk68 != sk1 )
| ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ( p2 @ D )
| ( ( p4 @ ( sk7 @ D @ C @ B @ A ) )
!= ( p4 @ sk68 ) ) ),
inference(paramod_ordered,[status(thm)],[861,149]) ).
thf(1181,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ D )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk68 != sk1 )
| ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ( ( sk7 @ D @ C @ B @ A )
!= sk68 ) ),
inference(simp,[status(thm)],[1179]) ).
thf(63,plain,
r1 @ sk1 @ sk67,
inference(cnf,[status(esa)],[5]) ).
thf(844,plain,
( ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( p4 @ sk68 )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ sk1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[63,653]) ).
thf(859,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk1 != sk1 )
| ( sk67 != sk1 ) ),
inference(simp,[status(thm)],[844]) ).
thf(864,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk67 != sk1 ) ),
inference(simp,[status(thm)],[859]) ).
thf(139,plain,
r1 @ sk1 @ sk69,
inference(cnf,[status(esa)],[5]) ).
thf(563,plain,
! [A: $i] :
( ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A )
| ( ( r1 @ sk1 @ sk66 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[20,151]) ).
thf(564,plain,
( ( r1 @ sk66 @ ( sk44 @ sk66 ) )
| ( p4 @ sk66 ) ),
inference(pattern_uni,[status(thm)],[563:[bind(A,$thf( sk66 ))]]) ).
thf(62,plain,
~ ( p1 @ sk69 ),
inference(cnf,[status(esa)],[5]) ).
thf(61,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p3 @ ( sk60 @ A ) )
| ( p5 @ A ) ),
inference(cnf,[status(esa)],[5]) ).
thf(170,plain,
! [A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p3 @ ( sk60 @ A ) )
| ( p5 @ A ) ),
inference(simp,[status(thm)],[61]) ).
thf(56,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 )
| ( p4 @ E ) ),
inference(cnf,[status(esa)],[5]) ).
thf(152,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 )
| ( p4 @ E ) ),
inference(simp,[status(thm)],[56]) ).
thf(451,plain,
! [A: $i] :
( ~ ( p3 @ ( sk60 @ A ) )
| ( p5 @ A )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[63,170]) ).
thf(452,plain,
( ~ ( p3 @ ( sk60 @ sk67 ) )
| ( p5 @ sk67 ) ),
inference(pattern_uni,[status(thm)],[451:[bind(A,$thf( sk67 ))]]) ).
thf(102,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 )
| ( p6 @ E ) ),
inference(cnf,[status(esa)],[5]) ).
thf(656,plain,
! [B: $i,A: $i] :
( ~ ( r1 @ sk1 @ A )
| ~ ( p6 @ ( sk28 @ B @ A ) )
| ( p4 @ B )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[63,146]) ).
thf(657,plain,
( ~ ( r1 @ sk1 @ sk1 )
| ~ ( p6 @ ( sk28 @ sk67 @ sk1 ) )
| ( p4 @ sk67 ) ),
inference(pattern_uni,[status(thm)],[656:[bind(A,$thf( sk1 )),bind(B,$thf( sk67 ))]]) ).
thf(557,plain,
! [A: $i] :
( ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A )
| ( ( r1 @ sk1 @ sk67 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[63,151]) ).
thf(558,plain,
( ( r1 @ sk67 @ ( sk44 @ sk67 ) )
| ( p4 @ sk67 ) ),
inference(pattern_uni,[status(thm)],[557:[bind(A,$thf( sk67 ))]]) ).
thf(455,plain,
! [A: $i] :
( ~ ( p3 @ ( sk60 @ A ) )
| ( p5 @ A )
| ( ( r1 @ sk1 @ sk66 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[20,170]) ).
thf(456,plain,
( ~ ( p3 @ ( sk60 @ sk66 ) )
| ( p5 @ sk66 ) ),
inference(pattern_uni,[status(thm)],[455:[bind(A,$thf( sk66 ))]]) ).
thf(100,plain,
~ ( p5 @ sk66 ),
inference(cnf,[status(esa)],[5]) ).
thf(600,plain,
( ~ ( p3 @ ( sk60 @ sk66 ) )
| $false ),
inference(rewrite,[status(thm)],[456,100]) ).
thf(601,plain,
~ ( p3 @ ( sk60 @ sk66 ) ),
inference(simp,[status(thm)],[600]) ).
thf(845,plain,
( ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( p4 @ sk68 )
| ( ( r1 @ sk1 @ sk69 )
!= ( r1 @ sk1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[139,653]) ).
thf(858,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk1 != sk1 )
| ( sk69 != sk1 ) ),
inference(simp,[status(thm)],[845]) ).
thf(863,plain,
( ( p4 @ sk68 )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk69 != sk1 ) ),
inference(simp,[status(thm)],[858]) ).
thf(1253,plain,
( ~ ( p6 @ ( sk28 @ sk67 @ sk1 ) )
| ( p4 @ sk67 )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ sk1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[7,657]) ).
thf(1265,plain,
( ( p4 @ sk67 )
| ~ ( p6 @ ( sk28 @ sk67 @ sk1 ) )
| ( sk1 != sk1 )
| ( sk68 != sk1 ) ),
inference(simp,[status(thm)],[1253]) ).
thf(1267,plain,
( ( p4 @ sk67 )
| ~ ( p6 @ ( sk28 @ sk67 @ sk1 ) )
| ( sk68 != sk1 ) ),
inference(simp,[status(thm)],[1265]) ).
thf(449,plain,
! [A: $i] :
( ~ ( p3 @ ( sk60 @ A ) )
| ( p5 @ A )
| ( ( r1 @ sk1 @ sk68 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[7,170]) ).
thf(450,plain,
( ~ ( p3 @ ( sk60 @ sk68 ) )
| ( p5 @ sk68 ) ),
inference(pattern_uni,[status(thm)],[449:[bind(A,$thf( sk68 ))]]) ).
thf(1178,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk68 != sk1 )
| ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ( p4 @ D )
| ( ( p4 @ ( sk6 @ D @ C @ B @ A ) )
!= ( p4 @ sk68 ) ) ),
inference(paramod_ordered,[status(thm)],[861,164]) ).
thf(1180,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ D )
| ~ ( p6 @ ( sk28 @ sk68 @ sk1 ) )
| ( sk68 != sk1 )
| ~ ( r1 @ sk1 @ A )
| ~ ( r1 @ A @ B )
| ~ ( r1 @ B @ C )
| ~ ( r1 @ C @ D )
| ( ( sk6 @ D @ C @ B @ A )
!= sk68 ) ),
inference(simp,[status(thm)],[1178]) ).
thf(104,plain,
~ ( p2 @ sk68 ),
inference(cnf,[status(esa)],[5]) ).
thf(559,plain,
! [A: $i] :
( ( r1 @ A @ ( sk44 @ A ) )
| ( p4 @ A )
| ( ( r1 @ sk1 @ sk69 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[139,151]) ).
thf(560,plain,
( ( r1 @ sk69 @ ( sk44 @ sk69 ) )
| ( p4 @ sk69 ) ),
inference(pattern_uni,[status(thm)],[559:[bind(A,$thf( sk69 ))]]) ).
thf(453,plain,
! [A: $i] :
( ~ ( p3 @ ( sk60 @ A ) )
| ( p5 @ A )
| ( ( r1 @ sk1 @ sk69 )
!= ( r1 @ sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[139,170]) ).
thf(454,plain,
( ~ ( p3 @ ( sk60 @ sk69 ) )
| ( p5 @ sk69 ) ),
inference(pattern_uni,[status(thm)],[453:[bind(A,$thf( sk69 ))]]) ).
thf(45714,plain,
$false,
inference(e,[status(thm)],[69,153,164,147,862,647,1181,864,139,564,62,170,861,20,152,452,102,657,558,149,601,7,863,3,653,63,1267,450,1180,556,104,151,146,560,454,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL646+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 16:13:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.82/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/1.01 % [INFO] Parsing done (174ms).
% 1.52/1.02 % [INFO] Running in sequential loop mode.
% 1.86/1.22 % [INFO] eprover registered as external prover.
% 1.86/1.22 % [INFO] cvc4 registered as external prover.
% 1.86/1.23 % [INFO] Scanning for conjecture ...
% 2.39/1.45 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.53/1.49 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.63/1.50 % [INFO] Problem is first-order (TPTP FOF).
% 2.63/1.52 % [INFO] Type checking passed.
% 2.63/1.52 % [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 ...
% 84.50/15.41 % External prover 'e' found a proof!
% 84.50/15.41 % [INFO] Killing All external provers ...
% 84.50/15.41 % Time passed: 14897ms (effective reasoning time: 14392ms)
% 84.50/15.41 % 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)>
% 84.50/15.42 % Axioms used in derivation (0):
% 84.50/15.42 % No. of inferences in proof: 75
% 84.50/15.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 14897 ms resp. 14392 ms w/o parsing
% 84.84/15.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 84.84/15.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------