%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:52:16 AM UTC 2026
% Result : Theorem 8.25s 9.22s
% Output : Refutation 10.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 74
% Syntax : Number of formulae : 83 ( 77 unt; 0 typ; 73 def)
% Number of atoms : 4717 ( 73 equ; 0 cnn)
% Maximal formula atoms : 1520 ( 56 avg)
% Number of connectives : 12346 (2841 ~;3280 |;1281 &;4944 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 398 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 128 ( 125 usr; 95 con; 0-2 aty)
% Number of variables : 1206 ( 20 ^;1109 !; 4 ?;1206 :)
% ( 0 !>; 0 ?*; 0 @-; 73 @+)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p11_decl,type,
p11: $i > $o ).
thf(p10_decl,type,
p10: $i > $o ).
thf(p9_decl,type,
p9: $i > $o ).
thf(p8_decl,type,
p8: $i > $o ).
thf(p7_decl,type,
p7: $i > $o ).
thf(p6_decl,type,
p6: $i > $o ).
thf(p5_decl,type,
p5: $i > $o ).
thf(p4_decl,type,
p4: $i > $o ).
thf(p3_decl,type,
p3: $i > $o ).
thf(p2_decl,type,
p2: $i > $o ).
thf(p1_decl,type,
p1: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $o ).
thf(sk3_decl,type,
sk3: $i > $i ).
thf(sk4_decl,type,
sk4: $o ).
thf(sk5_decl,type,
sk5: $i > $i ).
thf(sk6_decl,type,
sk6: $o ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $o ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk11_decl,type,
sk11: $i ).
thf(sk12_decl,type,
sk12: $i ).
thf(sk13_decl,type,
sk13: $o ).
thf(sk14_decl,type,
sk14: $i > $i ).
thf(sk15_decl,type,
sk15: $o ).
thf(sk16_decl,type,
sk16: $i > $i ).
thf(sk17_decl,type,
sk17: $o ).
thf(sk18_decl,type,
sk18: $i ).
thf(sk19_decl,type,
sk19: $i ).
thf(sk20_decl,type,
sk20: $o ).
thf(sk21_decl,type,
sk21: $i ).
thf(sk22_decl,type,
sk22: $i ).
thf(sk23_decl,type,
sk23: $i ).
thf(sk24_decl,type,
sk24: $o ).
thf(sk25_decl,type,
sk25: $i > $i ).
thf(sk26_decl,type,
sk26: $o ).
thf(sk27_decl,type,
sk27: $i > $i ).
thf(sk28_decl,type,
sk28: $o ).
thf(sk29_decl,type,
sk29: $i ).
thf(sk30_decl,type,
sk30: $i ).
thf(sk31_decl,type,
sk31: $o ).
thf(sk32_decl,type,
sk32: $i ).
thf(sk33_decl,type,
sk33: $i ).
thf(sk34_decl,type,
sk34: $i ).
thf(sk35_decl,type,
sk35: $o ).
thf(sk36_decl,type,
sk36: $i > $i ).
thf(sk37_decl,type,
sk37: $o ).
thf(sk38_decl,type,
sk38: $i > $i ).
thf(sk39_decl,type,
sk39: $o ).
thf(sk40_decl,type,
sk40: $i ).
thf(sk41_decl,type,
sk41: $i ).
thf(sk42_decl,type,
sk42: $o ).
thf(sk43_decl,type,
sk43: $i ).
thf(sk44_decl,type,
sk44: $i ).
thf(sk45_decl,type,
sk45: $i ).
thf(sk46_decl,type,
sk46: $o ).
thf(sk47_decl,type,
sk47: $i > $i ).
thf(sk48_decl,type,
sk48: $o ).
thf(sk49_decl,type,
sk49: $i > $i ).
thf(sk50_decl,type,
sk50: $o ).
thf(sk51_decl,type,
sk51: $i ).
thf(sk52_decl,type,
sk52: $i ).
thf(sk53_decl,type,
sk53: $o ).
thf(sk54_decl,type,
sk54: $i ).
thf(sk55_decl,type,
sk55: $i ).
thf(sk56_decl,type,
sk56: $i ).
thf(sk57_decl,type,
sk57: $o ).
thf(sk58_decl,type,
sk58: $i > $i ).
thf(sk59_decl,type,
sk59: $o ).
thf(sk60_decl,type,
sk60: $i > $i ).
thf(sk61_decl,type,
sk61: $o ).
thf(sk62_decl,type,
sk62: $i ).
thf(sk63_decl,type,
sk63: $i ).
thf(sk64_decl,type,
sk64: $o ).
thf(sk65_decl,type,
sk65: $i ).
thf(sk66_decl,type,
sk66: $i ).
thf(sk67_decl,type,
sk67: $i ).
thf(sk68_decl,type,
sk68: $o ).
thf(sk69_decl,type,
sk69: $i > $i ).
thf(sk70_decl,type,
sk70: $o ).
thf(sk71_decl,type,
sk71: $i > $i ).
thf(sk72_decl,type,
sk72: $o ).
thf(sk73_decl,type,
sk73: $i ).
thf(sk74_decl,type,
sk74: $i ).
thf(sk75_decl,type,
sk75: $o ).
thf(sk76_decl,type,
sk76: $i ).
thf(sk77_decl,type,
sk77: $i ).
thf(sk78_decl,type,
sk78: $i ).
thf(sk79_decl,type,
sk79: $i ).
thf(sk80_decl,type,
sk80: $i ).
thf(sk81_decl,type,
sk81: $o ).
thf(sk82_decl,type,
sk82: $i > $i ).
thf(sk83_decl,type,
sk83: $o ).
thf(sk84_decl,type,
sk84: $i > $i ).
thf(sk85_decl,type,
sk85: $o ).
thf(sk86_decl,type,
sk86: $i ).
thf(sk87_decl,type,
sk87: $i ).
thf(sk88_decl,type,
sk88: $o ).
thf(sk89_decl,type,
sk89: $i ).
thf(sk90_decl,type,
sk90: $i ).
thf(sk91_decl,type,
sk91: $i ).
thf(sk92_decl,type,
sk92: $o ).
thf(sk93_decl,type,
sk93: $i > $i ).
thf(sk94_decl,type,
sk94: $o ).
thf(sk95_decl,type,
sk95: $i > $i ).
thf(sk96_decl,type,
sk96: $o ).
thf(sk97_decl,type,
sk97: $i ).
thf(sk98_decl,type,
sk98: $i ).
thf(sk99_decl,type,
sk99: $o ).
thf(sk100_decl,type,
sk100: $i ).
thf(sk101_decl,type,
sk101: $i ).
thf(sk102_decl,type,
sk102: $i ).
thf(sk103_decl,type,
sk103: $o ).
thf(sk104_decl,type,
sk104: $i > $i ).
thf(sk105_decl,type,
sk105: $o ).
thf(sk106_decl,type,
sk106: $i > $i ).
thf(sk107_decl,type,
sk107: $o ).
thf(sk108_decl,type,
sk108: $i ).
thf(sk109_decl,type,
sk109: $i ).
thf(sk110_decl,type,
sk110: $o ).
thf(sk111_decl,type,
sk111: $i ).
thf(sk112_decl,type,
sk112: $i ).
thf(sk113_decl,type,
sk113: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p2 )
& ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ! [C: $i] :
( ( C @ p2 )
| ~ ( ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p3 )
& ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ! [C: $i] :
( ( C @ p3 )
| ~ ( ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p4 )
& ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ! [C: $i] :
( ( C @ p4 )
| ~ ( ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p5 )
& ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ! [C: $i] :
( ( C @ p5 )
| ~ ( ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p6 )
& ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ! [C: $i] :
( ( C @ p6 )
| ~ ( ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p7 )
& ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ! [C: $i] :
( ( C @ p7 )
| ~ ( ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p8 )
& ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ! [C: $i] :
( ( C @ p8 )
| ~ ( ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p9 )
& ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ! [C: $i] :
( ( C @ p9 )
| ~ ( ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p10 )
& ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ! [C: $i] :
( ( C @ p10 )
| ~ ( ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
~ ( ~ ( ( A @ p10 )
& ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ( A @ p11 )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
~ ( ( A @ p10 )
| ~ ( ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ~ ( A @ ( sk7 @ r1 ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p10 )
| ~ ( ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: $i] :
~ ( ~ ( ( A @ p10 )
& ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ( A @ p11 )
| ~ ( A @ ( sk10 @ r1 ) ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i] :
~ ( ~ ( ( A @ p10 )
& ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ( A @ p11 )
| ( A @ p10 )
| ~ ( ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( @+[A: $i] :
~ ( ~ ( ( A @ p9 )
& ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ( A @ p10 )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk19_def,definition,
( sk19
= ( @+[A: $i] :
~ ( ( A @ p9 )
| ~ ( ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ~ ( A @ ( sk18 @ r1 ) ) ) ) ) ).
thf(sk21_def,definition,
( sk21
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p9 )
| ~ ( ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk22_def,definition,
( sk22
= ( @+[A: $i] :
~ ( ~ ( ( A @ p9 )
& ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ( A @ p10 )
| ~ ( A @ ( sk21 @ r1 ) ) ) ) ) ).
thf(sk23_def,definition,
( sk23
= ( @+[A: $i] :
~ ( ~ ( ( A @ p9 )
& ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ( A @ p10 )
| ( A @ p9 )
| ~ ( ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk29_def,definition,
( sk29
= ( @+[A: $i] :
~ ( ~ ( ( A @ p8 )
& ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ( A @ p9 )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk30_def,definition,
( sk30
= ( @+[A: $i] :
~ ( ( A @ p8 )
| ~ ( ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ~ ( A @ ( sk29 @ r1 ) ) ) ) ) ).
thf(sk32_def,definition,
( sk32
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p8 )
| ~ ( ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk33_def,definition,
( sk33
= ( @+[A: $i] :
~ ( ~ ( ( A @ p8 )
& ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ( A @ p9 )
| ~ ( A @ ( sk32 @ r1 ) ) ) ) ) ).
thf(sk34_def,definition,
( sk34
= ( @+[A: $i] :
~ ( ~ ( ( A @ p8 )
& ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ( A @ p9 )
| ( A @ p8 )
| ~ ( ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk36_def,definition,
( sk36
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk38_def,definition,
( sk38
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk40_def,definition,
( sk40
= ( @+[A: $i] :
~ ( ~ ( ( A @ p7 )
& ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ( A @ p8 )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk41_def,definition,
( sk41
= ( @+[A: $i] :
~ ( ( A @ p7 )
| ~ ( ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ~ ( A @ ( sk40 @ r1 ) ) ) ) ) ).
thf(sk43_def,definition,
( sk43
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p7 )
| ~ ( ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk44_def,definition,
( sk44
= ( @+[A: $i] :
~ ( ~ ( ( A @ p7 )
& ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ( A @ p8 )
| ~ ( A @ ( sk43 @ r1 ) ) ) ) ) ).
thf(sk45_def,definition,
( sk45
= ( @+[A: $i] :
~ ( ~ ( ( A @ p7 )
& ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ( A @ p8 )
| ( A @ p7 )
| ~ ( ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk47_def,definition,
( sk47
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk49_def,definition,
( sk49
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk51_def,definition,
( sk51
= ( @+[A: $i] :
~ ( ~ ( ( A @ p6 )
& ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ( A @ p7 )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk52_def,definition,
( sk52
= ( @+[A: $i] :
~ ( ( A @ p6 )
| ~ ( ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ~ ( A @ ( sk51 @ r1 ) ) ) ) ) ).
thf(sk54_def,definition,
( sk54
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p6 )
| ~ ( ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk55_def,definition,
( sk55
= ( @+[A: $i] :
~ ( ~ ( ( A @ p6 )
& ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ( A @ p7 )
| ~ ( A @ ( sk54 @ r1 ) ) ) ) ) ).
thf(sk56_def,definition,
( sk56
= ( @+[A: $i] :
~ ( ~ ( ( A @ p6 )
& ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ( A @ p7 )
| ( A @ p6 )
| ~ ( ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk58_def,definition,
( sk58
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk60_def,definition,
( sk60
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk62_def,definition,
( sk62
= ( @+[A: $i] :
~ ( ~ ( ( A @ p5 )
& ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ( A @ p6 )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk63_def,definition,
( sk63
= ( @+[A: $i] :
~ ( ( A @ p5 )
| ~ ( ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ~ ( A @ ( sk62 @ r1 ) ) ) ) ) ).
thf(sk65_def,definition,
( sk65
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p5 )
| ~ ( ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk66_def,definition,
( sk66
= ( @+[A: $i] :
~ ( ~ ( ( A @ p5 )
& ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ( A @ p6 )
| ~ ( A @ ( sk65 @ r1 ) ) ) ) ) ).
thf(sk67_def,definition,
( sk67
= ( @+[A: $i] :
~ ( ~ ( ( A @ p5 )
& ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ( A @ p6 )
| ( A @ p5 )
| ~ ( ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk69_def,definition,
( sk69
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk71_def,definition,
( sk71
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk73_def,definition,
( sk73
= ( @+[A: $i] :
~ ( ~ ( ( A @ p4 )
& ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ( A @ p5 )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk74_def,definition,
( sk74
= ( @+[A: $i] :
~ ( ( A @ p4 )
| ~ ( ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ~ ( A @ ( sk73 @ r1 ) ) ) ) ) ).
thf(sk76_def,definition,
( sk76
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p4 )
| ~ ( ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk77_def,definition,
( sk77
= ( @+[A: $i] :
~ ( ~ ( ( A @ p4 )
& ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ( A @ p5 )
| ~ ( A @ ( sk76 @ r1 ) ) ) ) ) ).
thf(sk78_def,definition,
( sk78
= ( @+[A: $i] :
~ ( ~ ( ( A @ p4 )
& ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ( A @ p5 )
| ( A @ p4 )
| ~ ( ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk79_def,definition,
( sk79
= ( @+[A: $i] :
~ ( ~ ( ( A @ p10 )
& ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( A @ p10 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk80_def,definition,
( sk80
= ( @+[A: $i] :
~ ( ~ ( ( A @ p10 )
& ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( A @ p10 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk82_def,definition,
( sk82
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk84_def,definition,
( sk84
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk86_def,definition,
( sk86
= ( @+[A: $i] :
~ ( ~ ( ( A @ p3 )
& ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ( A @ p4 )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk87_def,definition,
( sk87
= ( @+[A: $i] :
~ ( ( A @ p3 )
| ~ ( ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ~ ( A @ ( sk86 @ r1 ) ) ) ) ) ).
thf(sk89_def,definition,
( sk89
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p3 )
| ~ ( ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk90_def,definition,
( sk90
= ( @+[A: $i] :
~ ( ~ ( ( A @ p3 )
& ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ( A @ p4 )
| ~ ( A @ ( sk89 @ r1 ) ) ) ) ) ).
thf(sk91_def,definition,
( sk91
= ( @+[A: $i] :
~ ( ~ ( ( A @ p3 )
& ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ( A @ p4 )
| ( A @ p3 )
| ~ ( ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk93_def,definition,
( sk93
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk95_def,definition,
( sk95
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk97_def,definition,
( sk97
= ( @+[A: $i] :
~ ( ~ ( ( A @ p2 )
& ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ( A @ p3 )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk98_def,definition,
( sk98
= ( @+[A: $i] :
~ ( ( A @ p2 )
| ~ ( ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ~ ( A @ ( sk97 @ r1 ) ) ) ) ) ).
thf(sk100_def,definition,
( sk100
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p2 )
| ~ ( ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk101_def,definition,
( sk101
= ( @+[A: $i] :
~ ( ~ ( ( A @ p2 )
& ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ( A @ p3 )
| ~ ( A @ ( sk100 @ r1 ) ) ) ) ) ).
thf(sk102_def,definition,
( sk102
= ( @+[A: $i] :
~ ( ~ ( ( A @ p2 )
& ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ( A @ p3 )
| ( A @ p2 )
| ~ ( ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk104_def,definition,
( sk104
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk106_def,definition,
( sk106
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk108_def,definition,
( sk108
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk109_def,definition,
( sk109
= ( @+[A: $i] :
~ ( ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk108 @ r1 ) ) ) ) ) ).
thf(sk111_def,definition,
( sk111
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk112_def,definition,
( sk112
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ~ ( A @ ( sk111 @ r1 ) ) ) ) ) ).
thf(sk113_def,definition,
( sk113
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p2 )
& ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ! [C: $i] :
( ( C @ p2 )
| ~ ( ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p3 )
& ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ! [C: $i] :
( ( C @ p3 )
| ~ ( ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p4 )
& ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ! [C: $i] :
( ( C @ p4 )
| ~ ( ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p5 )
& ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ! [C: $i] :
( ( C @ p5 )
| ~ ( ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p6 )
& ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ! [C: $i] :
( ( C @ p6 )
| ~ ( ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p7 )
& ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ! [C: $i] :
( ( C @ p7 )
| ~ ( ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p8 )
& ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ! [C: $i] :
( ( C @ p8 )
| ~ ( ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p9 )
& ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ! [C: $i] :
( ( C @ p9 )
| ~ ( ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p10 )
& ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ! [C: $i] :
( ( C @ p10 )
| ~ ( ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p2 )
& ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ! [C: $i] :
( ( C @ p2 )
| ~ ( ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p3 )
& ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ! [C: $i] :
( ( C @ p3 )
| ~ ( ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p4 )
& ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ! [C: $i] :
( ( C @ p4 )
| ~ ( ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p5 )
& ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ! [C: $i] :
( ( C @ p5 )
| ~ ( ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p6 )
& ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ! [C: $i] :
( ( C @ p6 )
| ~ ( ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p7 )
& ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ! [C: $i] :
( ( C @ p7 )
| ~ ( ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p8 )
& ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ! [C: $i] :
( ( C @ p8 )
| ~ ( ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p9 )
& ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ! [C: $i] :
( ( C @ p9 )
| ~ ( ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p10 )
& ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ! [C: $i] :
( ( C @ p10 )
| ~ ( ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p2 )
& ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ! [C: $i] :
( ( C @ p2 )
| ~ ( ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p3 )
& ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ! [C: $i] :
( ( C @ p3 )
| ~ ( ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p4 )
& ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ! [C: $i] :
( ( C @ p4 )
| ~ ( ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p5 )
& ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ! [C: $i] :
( ( C @ p5 )
| ~ ( ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p6 )
& ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ! [C: $i] :
( ( C @ p6 )
| ~ ( ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p7 )
& ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ! [C: $i] :
( ( C @ p7 )
| ~ ( ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p8 )
& ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ! [C: $i] :
( ( C @ p8 )
| ~ ( ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p9 )
& ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ! [C: $i] :
( ( C @ p9 )
| ~ ( ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p10 )
& ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ! [C: $i] :
( ( C @ p10 )
| ~ ( ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
? [A: $i] :
~ ( ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p2 )
& ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ! [C: $i] :
( ( C @ p2 )
| ~ ( ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p3 )
& ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ! [C: $i] :
( ( C @ p3 )
| ~ ( ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p4 )
& ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ! [C: $i] :
( ( C @ p4 )
| ~ ( ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p5 )
& ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ! [C: $i] :
( ( C @ p5 )
| ~ ( ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p6 )
& ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ! [C: $i] :
( ( C @ p6 )
| ~ ( ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p7 )
& ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ! [C: $i] :
( ( C @ p7 )
| ~ ( ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p8 )
& ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ! [C: $i] :
( ( C @ p8 )
| ~ ( ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p9 )
& ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ! [C: $i] :
( ( C @ p9 )
| ~ ( ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p10 )
& ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ! [C: $i] :
( ( C @ p10 )
| ~ ( ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
~ ! [A: $i] :
( ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p2 )
& ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ! [C: $i] :
( ( C @ p2 )
| ~ ( ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p2 )
& ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p2 )
| ~ ( ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p3 )
& ! [D: $i] :
( ( D @ p3 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p3 ) )
| ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ! [C: $i] :
( ( C @ p3 )
| ~ ( ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p3 )
& ! [C: $i] :
( ( C @ p3 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p3 ) )
| ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p3 )
| ~ ( ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p4 )
& ! [D: $i] :
( ( D @ p4 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p4 ) )
| ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ! [C: $i] :
( ( C @ p4 )
| ~ ( ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p4 )
& ! [C: $i] :
( ( C @ p4 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p4 ) )
| ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p4 )
| ~ ( ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p5 )
& ! [D: $i] :
( ( D @ p5 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p5 ) )
| ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ! [C: $i] :
( ( C @ p5 )
| ~ ( ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p5 )
& ! [C: $i] :
( ( C @ p5 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p5 ) )
| ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p5 )
| ~ ( ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p6 )
& ! [D: $i] :
( ( D @ p6 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p6 ) )
| ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ! [C: $i] :
( ( C @ p6 )
| ~ ( ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p6 )
& ! [C: $i] :
( ( C @ p6 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p6 ) )
| ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p6 )
| ~ ( ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p7 )
& ! [D: $i] :
( ( D @ p7 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p7 ) )
| ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ! [C: $i] :
( ( C @ p7 )
| ~ ( ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p7 )
& ! [C: $i] :
( ( C @ p7 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p7 ) )
| ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p7 )
| ~ ( ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p8 )
& ! [D: $i] :
( ( D @ p8 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p8 ) )
| ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ! [C: $i] :
( ( C @ p8 )
| ~ ( ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p8 )
& ! [C: $i] :
( ( C @ p8 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p8 ) )
| ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p8 )
| ~ ( ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p9 )
& ! [D: $i] :
( ( D @ p9 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p9 ) )
| ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ! [C: $i] :
( ( C @ p9 )
| ~ ( ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p9 )
& ! [C: $i] :
( ( C @ p9 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p9 ) )
| ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p9 )
| ~ ( ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p10 )
& ! [D: $i] :
( ( D @ p10 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p10 ) )
| ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ! [C: $i] :
( ( C @ p10 )
| ~ ( ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p10 )
& ! [C: $i] :
( ( C @ p10 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p10 ) )
| ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p10 )
| ~ ( ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
! [ZZZD: $i,ZZZC: $i,ZZZB: $i,ZZZA: $i,ZZZ: $i,ZZY: $i,ZZX: $i,ZZW: $i,ZZV: $i,ZZU: $i,ZZT: $i,ZZS: $i,ZZR: $i,ZZQ: $i,ZZP: $i,ZZO: $i,ZZN: $i,ZZM: $i,ZZL: $i,ZZK: $i,ZZJ: $i,ZZI: $i,ZZH: $i,ZZG: $i,ZZF: $i,ZZE: $i,ZZD: $i,ZZC: $i,ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk113 @ p1 )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ( ZZZD @ p1 )
| ~ ( ZZZD @ ( sk113 @ r1 ) )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ( sk113 @ p1 )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ ( sk113 @ p2 )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ ( sk113 @ p1 )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ( ZZZC @ p2 )
| ~ ( ZZZC @ ( sk113 @ r1 ) )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ( sk113 @ p2 )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ( sk113 @ ( sk1 @ r1 ) )
| sk110
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( sk112 @ p1 )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( ZZZB @ p1 )
| ~ ( ZZZB @ ( sk112 @ r1 ) )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( sk112 @ p1 )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ~ ( sk112 @ p2 )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( sk112 @ ( sk111 @ r1 ) )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ~ ( sk111 @ p1 )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( ZZZA @ p2 )
| ~ ( ZZZA @ ( sk111 @ r1 ) )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( sk111 @ p2 )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk110
| ( sk111 @ ( sk1 @ r1 ) )
| sk107
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( sk108 @ p1 )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( ZZZ @ p1 )
| ~ ( ZZZ @ ( sk108 @ r1 ) )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( sk108 @ p1 )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ~ ( sk108 @ p2 )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ~ ( sk109 @ p1 )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( ZZY @ p2 )
| ~ ( ZZY @ ( sk109 @ r1 ) )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( sk109 @ p2 )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( sk109 @ ( sk108 @ r1 ) )
| ~ sk105
| ~ sk103 )
& ( ~ sk107
| ( sk108 @ ( sk1 @ r1 ) )
| ~ sk105
| ~ sk103 )
& ( sk105
| ~ ( ZZX @ p1 )
| ~ ( ZZX @ sk106 @ p1 )
| ~ ( ZZX @ p1 )
| ( ZZX @ p2 )
| ~ ( ZZX @ ( sk1 @ r1 ) )
| ~ sk103 )
& ( sk105
| ~ ( ZZX @ p1 )
| ( ZZX @ sk106 @ ( ZZX @ r1 ) )
| ~ ( ZZX @ p1 )
| ( ZZX @ p2 )
| ~ ( ZZX @ ( sk1 @ r1 ) )
| ~ sk103 )
& ( sk103
| ( ZZW @ p1 )
| ~ ( ZZW @ sk104 @ p2 )
| ~ ( ZZW @ p2 )
| ~ ( ZZW @ ( sk1 @ r1 ) ) )
& ( sk103
| ( ZZW @ p1 )
| ( ZZW @ sk104 @ ( ZZW @ r1 ) )
| ~ ( ZZW @ p2 )
| ~ ( ZZW @ ( sk1 @ r1 ) ) )
& ( ( sk102 @ p2 )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ( ZZV @ p2 )
| ~ ( ZZV @ ( sk102 @ r1 ) )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ( sk102 @ p2 )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ ( sk102 @ p3 )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ ( sk102 @ p2 )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ( ZZU @ p3 )
| ~ ( ZZU @ ( sk102 @ r1 ) )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ( sk102 @ p3 )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ( sk102 @ ( sk1 @ r1 ) )
| sk99
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( sk101 @ p2 )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( ZZT @ p2 )
| ~ ( ZZT @ ( sk101 @ r1 ) )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( sk101 @ p2 )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ~ ( sk101 @ p3 )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( sk101 @ ( sk100 @ r1 ) )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ~ ( sk100 @ p2 )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( ZZS @ p3 )
| ~ ( ZZS @ ( sk100 @ r1 ) )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( sk100 @ p3 )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk99
| ( sk100 @ ( sk1 @ r1 ) )
| sk96
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( sk97 @ p2 )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( ZZR @ p2 )
| ~ ( ZZR @ ( sk97 @ r1 ) )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( sk97 @ p2 )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ~ ( sk97 @ p3 )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ~ ( sk98 @ p2 )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( ZZQ @ p3 )
| ~ ( ZZQ @ ( sk98 @ r1 ) )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( sk98 @ p3 )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( sk98 @ ( sk97 @ r1 ) )
| ~ sk94
| ~ sk92 )
& ( ~ sk96
| ( sk97 @ ( sk1 @ r1 ) )
| ~ sk94
| ~ sk92 )
& ( sk94
| ~ ( ZZP @ p2 )
| ~ ( ZZP @ sk95 @ p2 )
| ~ ( ZZP @ p2 )
| ( ZZP @ p3 )
| ~ ( ZZP @ ( sk1 @ r1 ) )
| ~ sk92 )
& ( sk94
| ~ ( ZZP @ p2 )
| ( ZZP @ sk95 @ ( ZZP @ r1 ) )
| ~ ( ZZP @ p2 )
| ( ZZP @ p3 )
| ~ ( ZZP @ ( sk1 @ r1 ) )
| ~ sk92 )
& ( sk92
| ( ZZO @ p2 )
| ~ ( ZZO @ sk93 @ p3 )
| ~ ( ZZO @ p3 )
| ~ ( ZZO @ ( sk1 @ r1 ) ) )
& ( sk92
| ( ZZO @ p2 )
| ( ZZO @ sk93 @ ( ZZO @ r1 ) )
| ~ ( ZZO @ p3 )
| ~ ( ZZO @ ( sk1 @ r1 ) ) )
& ( ( sk91 @ p3 )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ( ZZN @ p3 )
| ~ ( ZZN @ ( sk91 @ r1 ) )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ( sk91 @ p3 )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ ( sk91 @ p4 )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ ( sk91 @ p3 )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ( ZZM @ p4 )
| ~ ( ZZM @ ( sk91 @ r1 ) )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ( sk91 @ p4 )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ( sk91 @ ( sk1 @ r1 ) )
| sk88
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( sk90 @ p3 )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( ZZL @ p3 )
| ~ ( ZZL @ ( sk90 @ r1 ) )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( sk90 @ p3 )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ~ ( sk90 @ p4 )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( sk90 @ ( sk89 @ r1 ) )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ~ ( sk89 @ p3 )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( ZZK @ p4 )
| ~ ( ZZK @ ( sk89 @ r1 ) )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( sk89 @ p4 )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk88
| ( sk89 @ ( sk1 @ r1 ) )
| sk85
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( sk86 @ p3 )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( ZZJ @ p3 )
| ~ ( ZZJ @ ( sk86 @ r1 ) )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( sk86 @ p3 )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ~ ( sk86 @ p4 )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ~ ( sk87 @ p3 )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( ZZI @ p4 )
| ~ ( ZZI @ ( sk87 @ r1 ) )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( sk87 @ p4 )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( sk87 @ ( sk86 @ r1 ) )
| ~ sk83
| ~ sk81 )
& ( ~ sk85
| ( sk86 @ ( sk1 @ r1 ) )
| ~ sk83
| ~ sk81 )
& ( sk83
| ~ ( ZZH @ p3 )
| ~ ( ZZH @ sk84 @ p3 )
| ~ ( ZZH @ p3 )
| ( ZZH @ p4 )
| ~ ( ZZH @ ( sk1 @ r1 ) )
| ~ sk81 )
& ( sk83
| ~ ( ZZH @ p3 )
| ( ZZH @ sk84 @ ( ZZH @ r1 ) )
| ~ ( ZZH @ p3 )
| ( ZZH @ p4 )
| ~ ( ZZH @ ( sk1 @ r1 ) )
| ~ sk81 )
& ( sk81
| ( ZZG @ p3 )
| ~ ( ZZG @ sk82 @ p4 )
| ~ ( ZZG @ p4 )
| ~ ( ZZG @ ( sk1 @ r1 ) ) )
& ( sk81
| ( ZZG @ p3 )
| ( ZZG @ sk82 @ ( ZZG @ r1 ) )
| ~ ( ZZG @ p4 )
| ~ ( ZZG @ ( sk1 @ r1 ) ) )
& ( sk80 @ p10 )
& ( ( ZZF @ p10 )
| ~ ( ZZF @ ( sk80 @ r1 ) ) )
& ~ ( sk80 @ p10 )
& ( sk80 @ ( sk1 @ r1 ) )
& ( sk79 @ p10 )
& ( ( ZZE @ p10 )
| ~ ( ZZE @ ( sk79 @ r1 ) ) )
& ~ ( sk79 @ p10 )
& ( sk79 @ ( sk1 @ r1 ) )
& ( ( sk78 @ p4 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( ZZD @ p4 )
| ~ ( ZZD @ ( sk78 @ r1 ) )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( sk78 @ p4 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ ( sk78 @ p5 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ ( sk78 @ p4 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( ZZC @ p5 )
| ~ ( ZZC @ ( sk78 @ r1 ) )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( sk78 @ p5 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( sk78 @ ( sk1 @ r1 ) )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk77 @ p4 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( ZZB @ p4 )
| ~ ( ZZB @ ( sk77 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk77 @ p4 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ~ ( sk77 @ p5 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk77 @ ( sk76 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ~ ( sk76 @ p4 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( ZZA @ p5 )
| ~ ( ZZA @ ( sk76 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk76 @ p5 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk76 @ ( sk1 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk73 @ p4 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( ZZ @ p4 )
| ~ ( ZZ @ ( sk73 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk73 @ p4 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ~ ( sk73 @ p5 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ~ ( sk74 @ p4 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( ZY @ p5 )
| ~ ( ZY @ ( sk74 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk74 @ p5 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk74 @ ( sk73 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk73 @ ( sk1 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( sk70
| ~ ( ZX @ p4 )
| ~ ( ZX @ sk71 @ p4 )
| ~ ( ZX @ p4 )
| ( ZX @ p5 )
| ~ ( ZX @ ( sk1 @ r1 ) )
| ~ sk68 )
& ( sk70
| ~ ( ZX @ p4 )
| ( ZX @ sk71 @ ( ZX @ r1 ) )
| ~ ( ZX @ p4 )
| ( ZX @ p5 )
| ~ ( ZX @ ( sk1 @ r1 ) )
| ~ sk68 )
& ( sk68
| ( ZW @ p4 )
| ~ ( ZW @ sk69 @ p5 )
| ~ ( ZW @ p5 )
| ~ ( ZW @ ( sk1 @ r1 ) ) )
& ( sk68
| ( ZW @ p4 )
| ( ZW @ sk69 @ ( ZW @ r1 ) )
| ~ ( ZW @ p5 )
| ~ ( ZW @ ( sk1 @ r1 ) ) )
& ( ( sk67 @ p5 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( ZV @ p5 )
| ~ ( ZV @ ( sk67 @ r1 ) )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( sk67 @ p5 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ ( sk67 @ p6 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ ( sk67 @ p5 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( ZU @ p6 )
| ~ ( ZU @ ( sk67 @ r1 ) )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( sk67 @ p6 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( sk67 @ ( sk1 @ r1 ) )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk66 @ p5 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( ZT @ p5 )
| ~ ( ZT @ ( sk66 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk66 @ p5 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ~ ( sk66 @ p6 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk66 @ ( sk65 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ~ ( sk65 @ p5 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( ZS @ p6 )
| ~ ( ZS @ ( sk65 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk65 @ p6 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk65 @ ( sk1 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk62 @ p5 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( ZR @ p5 )
| ~ ( ZR @ ( sk62 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk62 @ p5 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ~ ( sk62 @ p6 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ~ ( sk63 @ p5 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( ZQ @ p6 )
| ~ ( ZQ @ ( sk63 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk63 @ p6 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk63 @ ( sk62 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk62 @ ( sk1 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( sk59
| ~ ( ZP @ p5 )
| ~ ( ZP @ sk60 @ p5 )
| ~ ( ZP @ p5 )
| ( ZP @ p6 )
| ~ ( ZP @ ( sk1 @ r1 ) )
| ~ sk57 )
& ( sk59
| ~ ( ZP @ p5 )
| ( ZP @ sk60 @ ( ZP @ r1 ) )
| ~ ( ZP @ p5 )
| ( ZP @ p6 )
| ~ ( ZP @ ( sk1 @ r1 ) )
| ~ sk57 )
& ( sk57
| ( ZO @ p5 )
| ~ ( ZO @ sk58 @ p6 )
| ~ ( ZO @ p6 )
| ~ ( ZO @ ( sk1 @ r1 ) ) )
& ( sk57
| ( ZO @ p5 )
| ( ZO @ sk58 @ ( ZO @ r1 ) )
| ~ ( ZO @ p6 )
| ~ ( ZO @ ( sk1 @ r1 ) ) )
& ( ( sk56 @ p6 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( ZN @ p6 )
| ~ ( ZN @ ( sk56 @ r1 ) )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( sk56 @ p6 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ ( sk56 @ p7 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ ( sk56 @ p6 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( ZM @ p7 )
| ~ ( ZM @ ( sk56 @ r1 ) )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( sk56 @ p7 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( sk56 @ ( sk1 @ r1 ) )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk55 @ p6 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( ZL @ p6 )
| ~ ( ZL @ ( sk55 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk55 @ p6 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ~ ( sk55 @ p7 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk55 @ ( sk54 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ~ ( sk54 @ p6 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( ZK @ p7 )
| ~ ( ZK @ ( sk54 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk54 @ p7 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk54 @ ( sk1 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk51 @ p6 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( ZJ @ p6 )
| ~ ( ZJ @ ( sk51 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk51 @ p6 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ~ ( sk51 @ p7 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ~ ( sk52 @ p6 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( ZI @ p7 )
| ~ ( ZI @ ( sk52 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk52 @ p7 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk52 @ ( sk51 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk51 @ ( sk1 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( sk48
| ~ ( ZH @ p6 )
| ~ ( ZH @ sk49 @ p6 )
| ~ ( ZH @ p6 )
| ( ZH @ p7 )
| ~ ( ZH @ ( sk1 @ r1 ) )
| ~ sk46 )
& ( sk48
| ~ ( ZH @ p6 )
| ( ZH @ sk49 @ ( ZH @ r1 ) )
| ~ ( ZH @ p6 )
| ( ZH @ p7 )
| ~ ( ZH @ ( sk1 @ r1 ) )
| ~ sk46 )
& ( sk46
| ( ZG @ p6 )
| ~ ( ZG @ sk47 @ p7 )
| ~ ( ZG @ p7 )
| ~ ( ZG @ ( sk1 @ r1 ) ) )
& ( sk46
| ( ZG @ p6 )
| ( ZG @ sk47 @ ( ZG @ r1 ) )
| ~ ( ZG @ p7 )
| ~ ( ZG @ ( sk1 @ r1 ) ) )
& ( ( sk45 @ p7 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( ZF @ p7 )
| ~ ( ZF @ ( sk45 @ r1 ) )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( sk45 @ p7 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ ( sk45 @ p8 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ ( sk45 @ p7 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( ZE @ p8 )
| ~ ( ZE @ ( sk45 @ r1 ) )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( sk45 @ p8 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( sk45 @ ( sk1 @ r1 ) )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk44 @ p7 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( ZD @ p7 )
| ~ ( ZD @ ( sk44 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk44 @ p7 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ~ ( sk44 @ p8 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk44 @ ( sk43 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ~ ( sk43 @ p7 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( ZC @ p8 )
| ~ ( ZC @ ( sk43 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk43 @ p8 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk43 @ ( sk1 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk40 @ p7 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( ZB @ p7 )
| ~ ( ZB @ ( sk40 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk40 @ p7 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ~ ( sk40 @ p8 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ~ ( sk41 @ p7 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( ZA @ p8 )
| ~ ( ZA @ ( sk41 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk41 @ p8 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk41 @ ( sk40 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk40 @ ( sk1 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( sk37
| ~ ( Z @ p7 )
| ~ ( Z @ sk38 @ p7 )
| ~ ( Z @ p7 )
| ( Z @ p8 )
| ~ ( Z @ ( sk1 @ r1 ) )
| ~ sk35 )
& ( sk37
| ~ ( Z @ p7 )
| ( Z @ sk38 @ ( Z @ r1 ) )
| ~ ( Z @ p7 )
| ( Z @ p8 )
| ~ ( Z @ ( sk1 @ r1 ) )
| ~ sk35 )
& ( sk35
| ( Y @ p7 )
| ~ ( Y @ sk36 @ p8 )
| ~ ( Y @ p8 )
| ~ ( Y @ ( sk1 @ r1 ) ) )
& ( sk35
| ( Y @ p7 )
| ( Y @ sk36 @ ( Y @ r1 ) )
| ~ ( Y @ p8 )
| ~ ( Y @ ( sk1 @ r1 ) ) )
& ( ( sk34 @ p8 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( X @ p8 )
| ~ ( X @ ( sk34 @ r1 ) )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( sk34 @ p8 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ ( sk34 @ p9 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ ( sk34 @ p8 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( W @ p9 )
| ~ ( W @ ( sk34 @ r1 ) )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( sk34 @ p9 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( sk34 @ ( sk1 @ r1 ) )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk33 @ p8 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( V @ p8 )
| ~ ( V @ ( sk33 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk33 @ p8 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ~ ( sk33 @ p9 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk33 @ ( sk32 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ~ ( sk32 @ p8 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( U @ p9 )
| ~ ( U @ ( sk32 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk32 @ p9 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk32 @ ( sk1 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk29 @ p8 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( T @ p8 )
| ~ ( T @ ( sk29 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk29 @ p8 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ~ ( sk29 @ p9 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ~ ( sk30 @ p8 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( S @ p9 )
| ~ ( S @ ( sk30 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk30 @ p9 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk30 @ ( sk29 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk29 @ ( sk1 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( sk26
| ~ ( R @ p8 )
| ~ ( R @ sk27 @ p8 )
| ~ ( R @ p8 )
| ( R @ p9 )
| ~ ( R @ ( sk1 @ r1 ) )
| ~ sk24 )
& ( sk26
| ~ ( R @ p8 )
| ( R @ sk27 @ ( R @ r1 ) )
| ~ ( R @ p8 )
| ( R @ p9 )
| ~ ( R @ ( sk1 @ r1 ) )
| ~ sk24 )
& ( sk24
| ( Q @ p8 )
| ~ ( Q @ sk25 @ p9 )
| ~ ( Q @ p9 )
| ~ ( Q @ ( sk1 @ r1 ) ) )
& ( sk24
| ( Q @ p8 )
| ( Q @ sk25 @ ( Q @ r1 ) )
| ~ ( Q @ p9 )
| ~ ( Q @ ( sk1 @ r1 ) ) )
& ( ( sk23 @ p9 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( P @ p9 )
| ~ ( P @ ( sk23 @ r1 ) )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( sk23 @ p9 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ ( sk23 @ p10 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ ( sk23 @ p9 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( O @ p10 )
| ~ ( O @ ( sk23 @ r1 ) )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( sk23 @ p10 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( sk23 @ ( sk1 @ r1 ) )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk22 @ p9 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( N @ p9 )
| ~ ( N @ ( sk22 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk22 @ p9 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ~ ( sk22 @ p10 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk22 @ ( sk21 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ~ ( sk21 @ p9 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( M @ p10 )
| ~ ( M @ ( sk21 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk21 @ p10 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk21 @ ( sk1 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk18 @ p9 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( L @ p9 )
| ~ ( L @ ( sk18 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk18 @ p9 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ~ ( sk18 @ p10 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ~ ( sk19 @ p9 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( K @ p10 )
| ~ ( K @ ( sk19 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk19 @ p10 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk19 @ ( sk18 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk18 @ ( sk1 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( sk15
| ~ ( J @ p9 )
| ~ ( J @ sk16 @ p9 )
| ~ ( J @ p9 )
| ( J @ p10 )
| ~ ( J @ ( sk1 @ r1 ) )
| ~ sk13 )
& ( sk15
| ~ ( J @ p9 )
| ( J @ sk16 @ ( J @ r1 ) )
| ~ ( J @ p9 )
| ( J @ p10 )
| ~ ( J @ ( sk1 @ r1 ) )
| ~ sk13 )
& ( sk13
| ( I @ p9 )
| ~ ( I @ sk14 @ p10 )
| ~ ( I @ p10 )
| ~ ( I @ ( sk1 @ r1 ) ) )
& ( sk13
| ( I @ p9 )
| ( I @ sk14 @ ( I @ r1 ) )
| ~ ( I @ p10 )
| ~ ( I @ ( sk1 @ r1 ) ) )
& ( ( sk12 @ p10 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( H @ p10 )
| ~ ( H @ ( sk12 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ p10 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ ( sk12 @ p11 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ ( sk12 @ p10 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( G @ p11 )
| ~ ( G @ ( sk12 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ p11 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ ( sk1 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ p10 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( F @ p10 )
| ~ ( F @ ( sk11 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ p10 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ~ ( sk11 @ p11 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ ( sk10 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ~ ( sk10 @ p10 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( E @ p11 )
| ~ ( E @ ( sk10 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk10 @ p11 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk10 @ ( sk1 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ p10 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( D @ p10 )
| ~ ( D @ ( sk7 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ p10 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ~ ( sk7 @ p11 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ~ ( sk8 @ p10 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( C @ p11 )
| ~ ( C @ ( sk8 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk8 @ p11 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk8 @ ( sk7 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ ( sk1 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( sk4
| ~ ( B @ p10 )
| ~ ( B @ sk5 @ p10 )
| ~ ( B @ p10 )
| ( B @ p11 )
| ~ ( B @ ( sk1 @ r1 ) )
| ~ sk2 )
& ( sk4
| ~ ( B @ p10 )
| ( B @ sk5 @ ( B @ r1 ) )
| ~ ( B @ p10 )
| ( B @ p11 )
| ~ ( B @ ( sk1 @ r1 ) )
| ~ sk2 )
& ( sk2
| ( A @ p10 )
| ~ ( A @ sk3 @ p11 )
| ~ ( A @ p11 )
| ~ ( A @ ( sk1 @ r1 ) ) )
& ( sk2
| ( A @ p10 )
| ( A @ sk3 @ ( A @ r1 ) )
| ~ ( A @ p11 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(138,plain,
~ ( sk80 @ p10 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(94,plain,
sk80 @ p10,
inference(cnfConj,[status(thm)],[6]) ).
thf(388,plain,
~ $true,
inference(rewrite,[status(thm)],[138,94]) ).
thf(389,plain,
$false,
inference(simp,[status(thm)],[388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/5.41 % Computer : n019.cluster.edu
% 0.13/5.41 % Model : x86_64 x86_64
% 0.13/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.41 % Memory : 8046.5625MB
% 0.13/5.41 % OS : Linux 6.8.0-71-generic
% 0.13/5.41 % CPULimit : 300
% 0.13/5.41 % WCLimit : 300
% 0.13/5.41 % DateTime : Fri Sep 25 22:54:25 UTC 2026
% 0.13/5.41 % CPUTime :
% 0.13/5.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.17/6.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.36/6.26 % [INFO] Parsing done (252ms).
% 1.36/6.27 % [INFO] Running in sequential loop mode.
% 2.36/6.67 % [INFO] eprover registered as external prover.
% 2.36/6.68 % [INFO] Scanning for conjecture ...
% 3.03/6.93 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.03/7.01 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.03/7.01 % [INFO] Problem is first-order (TPTP FOF).
% 3.27/7.03 % [INFO] Type checking passed.
% 3.27/7.04 % [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 ...
% 8.25/9.22 % [INFO] Killing All external provers ...
% 8.25/9.22 % Time passed: 3662ms (effective reasoning time: 2942ms)
% 8.25/9.22 % 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)>
% 8.25/9.22 % Axioms used in derivation (0):
% 8.25/9.22 % No. of inferences in proof: 10
% 8.25/9.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3662 ms resp. 2942 ms w/o parsing
% 10.06/9.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.06/9.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------