%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL644+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 11:30:55 EDT 2023
% Result : Theorem 8.31s 3.16s
% Output : Refutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 26 ( 1 unt; 22 typ; 0 def)
% Number of atoms : 2611 ( 0 equ; 0 cnn)
% Maximal formula atoms : 870 ( 652 avg)
% Number of connectives : 7655 (1526 ~;1761 |; 846 &;3522 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 35 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 22 usr; 1 con; 0-2 aty)
% Number of variables : 915 ( 0 ^; 912 !; 3 ?; 915 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p19_type,type,
p19: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p21 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p21 @ D ) ) )
| ( p20 @ C ) )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C )
| ~ ( ( p20 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p20 @ D ) )
& ( p20 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p20 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p20 @ D ) ) )
| ( p19 @ C ) )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C )
| ~ ( ( p19 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p19 @ D ) )
& ( p19 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p19 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p19 @ D ) ) )
| ( p18 @ C ) )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C )
| ~ ( ( p18 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p18 @ D ) )
& ( p18 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p18 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p18 @ D ) ) )
| ( p17 @ C ) )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C )
| ~ ( ( p17 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p17 @ D ) )
& ( p17 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) ) )
| ( p16 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p17 @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
& ( p16 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p17 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p17 @ D ) ) )
| ( p16 @ C ) )
| ( p17 @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
& ( p16 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) ) )
| ( p16 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C )
| ~ ( ( p16 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p16 @ D ) )
& ( p16 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) ) )
| ( p16 @ B )
| ( p17 @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
& ( p16 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) ) )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p16 @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) )
& ( p15 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p16 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p16 @ D ) ) )
| ( p15 @ C ) )
| ( p16 @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) )
& ( p15 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) ) )
| ( p15 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C )
| ~ ( ( p15 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) )
& ( p15 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) ) )
| ( p15 @ B )
| ( p16 @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) )
& ( p15 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) ) )
| ( p14 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) )
& ( p14 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p15 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) ) )
| ( p14 @ C ) )
| ( p15 @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) )
& ( p14 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) ) )
| ( p14 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C )
| ~ ( ( p14 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p14 @ D ) )
& ( p14 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) ) )
| ( p14 @ B )
| ( p15 @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) )
& ( p14 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) ) )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p14 @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) )
& ( p13 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p14 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p14 @ D ) ) )
| ( p13 @ C ) )
| ( p14 @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) )
& ( p13 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) ) )
| ( p13 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C )
| ~ ( ( p13 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p13 @ D ) )
& ( p13 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) ) )
| ( p13 @ B )
| ( p14 @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) )
& ( p13 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) ) )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) )
& ( p12 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p13 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p13 @ D ) ) )
| ( p12 @ C ) )
| ( p13 @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) )
& ( p12 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) ) )
| ( p12 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C )
| ~ ( ( p12 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p12 @ D ) )
& ( p12 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) ) )
| ( p12 @ B )
| ( p13 @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) )
& ( p12 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) ) )
| ( p11 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) )
& ( p11 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p12 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p12 @ D ) ) )
| ( p11 @ C ) )
| ( p12 @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) )
& ( p11 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) ) )
| ( p11 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C )
| ~ ( ( p11 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p11 @ D ) )
& ( p11 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) ) )
| ( p11 @ B )
| ( p12 @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) )
& ( p11 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) ) )
| ( p10 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) )
& ( p10 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p11 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p11 @ D ) ) )
| ( p10 @ C ) )
| ( p11 @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) )
& ( p10 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) ) )
| ( p10 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C )
| ~ ( ( p10 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p10 @ D ) )
& ( p10 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) ) )
| ( p10 @ B )
| ( p11 @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) )
& ( p10 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) ) )
| ( p9 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p10 @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
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& ( p4 @ C ) ) ) )
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( ~ ( r1 @ A @ B )
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& ! [C: $i] :
( ~ ( r1 @ B @ C )
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( ~ ( r1 @ A @ B )
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( ~ ( r1 @ B @ C )
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( ~ ( r1 @ B @ C )
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& ( p3 @ B ) ) )
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( ~ ( r1 @ A @ B )
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( ~ ( r1 @ B @ C )
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& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
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& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
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( ~ ( r1 @ A @ B )
| ( p3 @ B )
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& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
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( ~ ( r1 @ B @ C )
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& ! [D: $i] :
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| ( p3 @ D ) ) )
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| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ( p2 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) )
| ( p1 @ C ) )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( ( p1 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p21 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p21 @ D ) ) )
| ( p20 @ C ) )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C )
| ~ ( ( p20 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p20 @ D ) )
& ( p20 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p20 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p20 @ D ) ) )
| ( p19 @ C ) )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C )
| ~ ( ( p19 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p19 @ D ) )
& ( p19 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p19 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p19 @ D ) ) )
| ( p18 @ C ) )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C )
| ~ ( ( p18 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p18 @ D ) )
& ( p18 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p18 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p18 @ D ) ) )
| ( p17 @ C ) )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
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( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) ) )
| ( p4 @ C ) )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ( p4 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) ) )
| ( p3 @ C ) )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ( p3 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) ) )
| ( p2 @ C ) )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ( p2 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) )
| ( p1 @ C ) )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( ( p1 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p21 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p21 @ D ) ) )
| ( p20 @ C ) )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C )
| ~ ( ( p20 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p20 @ D ) )
& ( p20 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p21 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p21 @ C ) ) )
| ( p20 @ B )
| ( p21 @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p20 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p20 @ D ) ) )
| ( p19 @ C ) )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C )
| ~ ( ( p19 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p19 @ D ) )
& ( p19 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p20 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) ) )
| ( p19 @ B )
| ( p20 @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) )
& ( p19 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p19 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p19 @ D ) ) )
| ( p18 @ C ) )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C )
| ~ ( ( p18 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p18 @ D ) )
& ( p18 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p19 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p19 @ C ) ) )
| ( p18 @ B )
| ( p19 @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) )
& ( p18 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p18 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p18 @ D ) ) )
| ( p17 @ C ) )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C )
| ~ ( ( p17 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p17 @ D ) )
& ( p17 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p18 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p18 @ C ) ) )
| ( p17 @ B )
| ( p18 @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) )
& ( p17 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) ) )
| ( p16 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p17 @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
& ( p16 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p17 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p17 @ D ) ) )
| ( p16 @ C ) )
| ( p17 @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
& ( p16 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) ) )
| ( p16 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C )
| ~ ( ( p16 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p16 @ D ) )
& ( p16 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p17 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p17 @ C ) ) )
| ( p16 @ B )
| ( p17 @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
& ( p16 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) ) )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p16 @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) )
& ( p15 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p16 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p16 @ D ) ) )
| ( p15 @ C ) )
| ( p16 @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) )
& ( p15 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) ) )
| ( p15 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C )
| ~ ( ( p15 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) )
& ( p15 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p16 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) ) )
| ( p15 @ B )
| ( p16 @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) )
& ( p15 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) ) )
| ( p14 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) )
& ( p14 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p15 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) ) )
| ( p14 @ C ) )
| ( p15 @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) )
& ( p14 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) ) )
| ( p14 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C )
| ~ ( ( p14 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p14 @ D ) )
& ( p14 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p15 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p15 @ C ) ) )
| ( p14 @ B )
| ( p15 @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) )
& ( p14 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) ) )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p14 @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) )
& ( p13 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p14 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p14 @ D ) ) )
| ( p13 @ C ) )
| ( p14 @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) )
& ( p13 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) ) )
| ( p13 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C )
| ~ ( ( p13 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p13 @ D ) )
& ( p13 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p14 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p14 @ C ) ) )
| ( p13 @ B )
| ( p14 @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) )
& ( p13 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) ) )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) )
& ( p12 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p13 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p13 @ D ) ) )
| ( p12 @ C ) )
| ( p13 @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) )
& ( p12 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) ) )
| ( p12 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C )
| ~ ( ( p12 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p12 @ D ) )
& ( p12 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p13 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p13 @ C ) ) )
| ( p12 @ B )
| ( p13 @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) )
& ( p12 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) ) )
| ( p11 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) )
& ( p11 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p12 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p12 @ D ) ) )
| ( p11 @ C ) )
| ( p12 @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) )
& ( p11 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) ) )
| ( p11 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C )
| ~ ( ( p11 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p11 @ D ) )
& ( p11 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p12 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p12 @ C ) ) )
| ( p11 @ B )
| ( p12 @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) )
& ( p11 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) ) )
| ( p10 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) )
& ( p10 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p11 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p11 @ D ) ) )
| ( p10 @ C ) )
| ( p11 @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) )
& ( p10 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) ) )
| ( p10 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C )
| ~ ( ( p10 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p10 @ D ) )
& ( p10 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p11 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p11 @ C ) ) )
| ( p10 @ B )
| ( p11 @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) )
& ( p10 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) ) )
| ( p9 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p10 @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C ) )
& ( p9 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p10 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p10 @ D ) ) )
| ( p9 @ C ) )
| ( p10 @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C ) )
& ( p9 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) ) )
| ( p9 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C )
| ~ ( ( p9 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p9 @ D ) )
& ( p9 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p10 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p10 @ C ) ) )
| ( p9 @ B )
| ( p10 @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C ) )
& ( p9 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C ) ) )
| ( p8 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p9 @ B )
| ~ ( ( p8 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C ) )
& ( p8 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p9 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p9 @ D ) ) )
| ( p8 @ C ) )
| ( p9 @ B )
| ~ ( ( p8 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C ) )
& ( p8 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C ) ) )
| ( p8 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C )
| ~ ( ( p8 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p8 @ D ) )
& ( p8 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p9 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p9 @ C ) ) )
| ( p8 @ B )
| ( p9 @ B )
| ~ ( ( p8 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C ) )
& ( p8 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p8 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C ) ) )
| ( p7 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p8 @ B )
| ~ ( ( p7 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C ) )
& ( p7 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p8 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p8 @ D ) ) )
| ( p7 @ C ) )
| ( p8 @ B )
| ~ ( ( p7 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C ) )
& ( p7 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p8 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C ) ) )
| ( p7 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C )
| ~ ( ( p7 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p7 @ D ) )
& ( p7 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p8 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p8 @ C ) ) )
| ( p7 @ B )
| ( p8 @ B )
| ~ ( ( p7 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C ) )
& ( p7 @ B ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p20 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p20 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p20 @ C ) )
& ( p20 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p7 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C ) ) )
| ( p6 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p7 @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ( p6 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p7 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p7 @ D ) ) )
| ( p6 @ C ) )
| ( p7 @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ( p6 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p7 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C ) ) )
| ( p6 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C )
| ~ ( ( p6 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) )
& ( p6 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p7 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p7 @ C ) ) )
| ( p6 @ B )
| ( p7 @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) )
& ( p6 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) ) )
| ( p5 @ C ) )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ( p5 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) ) )
| ( p4 @ C ) )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ( p4 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) ) )
| ( p3 @ C ) )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ( p3 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) ) )
| ( p2 @ C ) )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ( p2 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) )
| ( p1 @ C ) )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( ( p1 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(754,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL644+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n028.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 16:07:49 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.98/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.50/1.07 % [INFO] Parsing done (212ms).
% 1.50/1.08 % [INFO] Running in sequential loop mode.
% 2.15/1.29 % [INFO] eprover registered as external prover.
% 2.15/1.29 % [INFO] cvc4 registered as external prover.
% 2.15/1.30 % [INFO] Scanning for conjecture ...
% 2.95/1.56 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.95/1.63 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.95/1.63 % [INFO] Problem is first-order (TPTP FOF).
% 3.20/1.65 % [INFO] Type checking passed.
% 3.20/1.65 % [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 ...
% 8.31/3.16 % External prover 'e' found a proof!
% 8.31/3.16 % [INFO] Killing All external provers ...
% 8.31/3.16 % Time passed: 2638ms (effective reasoning time: 2081ms)
% 8.31/3.16 % 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)>
% 8.31/3.16 % Axioms used in derivation (0):
% 8.31/3.16 % No. of inferences in proof: 4
% 8.31/3.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2638 ms resp. 2081 ms w/o parsing
% 8.68/3.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.68/3.28 % [INFO] Killing All external provers ...
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