%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : LCL644+1.020 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:10:32 EDT 2024
% Result : Theorem 7.80s 3.32s
% Output : Refutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 32 ( 4 unt; 23 typ; 0 def)
% Number of atoms : 4354 ( 0 equ; 0 cnn)
% Maximal formula atoms : 870 ( 483 avg)
% Number of connectives : 12758 (2541 ~;2935 |;1410 &;5872 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 26 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 2 con; 0-2 aty)
% Number of variables : 1525 ( 0 ^1521 !; 4 ?;1525 :)
% 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(sk157_type,type,
sk157: $i ).
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 )
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( ~ ( r1 @ A @ B )
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( ~ ( r1 @ B @ C )
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| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
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& ! [C: $i] :
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| ( p3 @ C ) ) )
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& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
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( ~ ( r1 @ A @ B )
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& ! [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 ) ) )
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& ( 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(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(4,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] :
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| ( 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(polarity_switch,[status(thm)],[3]) ).
thf(5,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 )
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| ( 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(miniscope,[status(thm)],[4]) ).
thf(205,plain,
p20 @ sk157,
inference(cnf,[status(esa)],[5]) ).
thf(35,plain,
~ ( p20 @ sk157 ),
inference(cnf,[status(esa)],[5]) ).
thf(756,plain,
$false,
inference(rewrite,[status(thm)],[205,35]) ).
thf(757,plain,
$false,
inference(simp,[status(thm)],[756]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL644+1.020 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.17 % Command : run_Leo-III %s %d
% 0.17/0.39 % Computer : n018.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Mon May 20 01:23:54 EDT 2024
% 0.17/0.39 % CPUTime :
% 1.04/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.17 % [INFO] Parsing done (205ms).
% 1.68/1.18 % [INFO] Running in sequential loop mode.
% 2.07/1.41 % [INFO] nitpick registered as external prover.
% 2.23/1.42 % [INFO] Scanning for conjecture ...
% 2.82/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.92/1.77 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.92/1.77 % [INFO] Problem is first-order (TPTP FOF).
% 3.15/1.80 % [INFO] Type checking passed.
% 3.15/1.80 % [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 ...
% 7.80/3.31 % [INFO] Killing All external provers ...
% 7.80/3.31 % Time passed: 2742ms (effective reasoning time: 2129ms)
% 7.80/3.31 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.80/3.32 % Axioms used in derivation (0):
% 7.80/3.32 % No. of inferences in proof: 9
% 7.80/3.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2742 ms resp. 2129 ms w/o parsing
% 8.18/3.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.18/3.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------