%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL644+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 07:52:17 AM UTC 2026
% Result : Theorem 8.84s 18.92s
% Output : Refutation 10.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 109
% Syntax : Number of formulae : 118 ( 112 unt; 0 typ; 108 def)
% Number of atoms : 7032 ( 108 equ; 0 cnn)
% Maximal formula atoms : 2275 ( 59 avg)
% Number of connectives : 18395 (4230 ~;4895 |;1911 &;7359 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 588 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 187 ( 185 usr; 139 con; 0-2 aty)
% Number of variables : 1791 ( 30 ^;1649 !; 4 ?;1791 :)
% ( 0 !>; 0 ?*; 0 @-; 108 @+)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p16_decl,type,
p16: $i > $o ).
thf(p15_decl,type,
p15: $i > $o ).
thf(p14_decl,type,
p14: $i > $o ).
thf(p13_decl,type,
p13: $i > $o ).
thf(p12_decl,type,
p12: $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: $o ).
thf(sk80_decl,type,
sk80: $i > $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 ).
thf(sk85_decl,type,
sk85: $i ).
thf(sk86_decl,type,
sk86: $o ).
thf(sk87_decl,type,
sk87: $i ).
thf(sk88_decl,type,
sk88: $i ).
thf(sk89_decl,type,
sk89: $i ).
thf(sk90_decl,type,
sk90: $o ).
thf(sk91_decl,type,
sk91: $i > $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 ).
thf(sk96_decl,type,
sk96: $i ).
thf(sk97_decl,type,
sk97: $o ).
thf(sk98_decl,type,
sk98: $i ).
thf(sk99_decl,type,
sk99: $i ).
thf(sk100_decl,type,
sk100: $i ).
thf(sk101_decl,type,
sk101: $o ).
thf(sk102_decl,type,
sk102: $i > $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 ).
thf(sk107_decl,type,
sk107: $i ).
thf(sk108_decl,type,
sk108: $o ).
thf(sk109_decl,type,
sk109: $i ).
thf(sk110_decl,type,
sk110: $i ).
thf(sk111_decl,type,
sk111: $i ).
thf(sk112_decl,type,
sk112: $i ).
thf(sk113_decl,type,
sk113: $i ).
thf(sk114_decl,type,
sk114: $o ).
thf(sk115_decl,type,
sk115: $i > $i ).
thf(sk116_decl,type,
sk116: $o ).
thf(sk117_decl,type,
sk117: $i > $i ).
thf(sk118_decl,type,
sk118: $o ).
thf(sk119_decl,type,
sk119: $i ).
thf(sk120_decl,type,
sk120: $i ).
thf(sk121_decl,type,
sk121: $o ).
thf(sk122_decl,type,
sk122: $i ).
thf(sk123_decl,type,
sk123: $i ).
thf(sk124_decl,type,
sk124: $i ).
thf(sk125_decl,type,
sk125: $o ).
thf(sk126_decl,type,
sk126: $i > $i ).
thf(sk127_decl,type,
sk127: $o ).
thf(sk128_decl,type,
sk128: $i > $i ).
thf(sk129_decl,type,
sk129: $o ).
thf(sk130_decl,type,
sk130: $i ).
thf(sk131_decl,type,
sk131: $i ).
thf(sk132_decl,type,
sk132: $o ).
thf(sk133_decl,type,
sk133: $i ).
thf(sk134_decl,type,
sk134: $i ).
thf(sk135_decl,type,
sk135: $i ).
thf(sk136_decl,type,
sk136: $o ).
thf(sk137_decl,type,
sk137: $i > $i ).
thf(sk138_decl,type,
sk138: $o ).
thf(sk139_decl,type,
sk139: $i > $i ).
thf(sk140_decl,type,
sk140: $o ).
thf(sk141_decl,type,
sk141: $i ).
thf(sk142_decl,type,
sk142: $i ).
thf(sk143_decl,type,
sk143: $o ).
thf(sk144_decl,type,
sk144: $i ).
thf(sk145_decl,type,
sk145: $i ).
thf(sk146_decl,type,
sk146: $i ).
thf(sk147_decl,type,
sk147: $o ).
thf(sk148_decl,type,
sk148: $i > $i ).
thf(sk149_decl,type,
sk149: $o ).
thf(sk150_decl,type,
sk150: $i > $i ).
thf(sk151_decl,type,
sk151: $o ).
thf(sk152_decl,type,
sk152: $i ).
thf(sk153_decl,type,
sk153: $i ).
thf(sk154_decl,type,
sk154: $o ).
thf(sk155_decl,type,
sk155: $i ).
thf(sk156_decl,type,
sk156: $i ).
thf(sk157_decl,type,
sk157: $i ).
thf(sk158_decl,type,
sk158: $o ).
thf(sk159_decl,type,
sk159: $i > $i ).
thf(sk160_decl,type,
sk160: $o ).
thf(sk161_decl,type,
sk161: $i > $i ).
thf(sk162_decl,type,
sk162: $o ).
thf(sk163_decl,type,
sk163: $i ).
thf(sk164_decl,type,
sk164: $i ).
thf(sk165_decl,type,
sk165: $o ).
thf(sk166_decl,type,
sk166: $i ).
thf(sk167_decl,type,
sk167: $i ).
thf(sk168_decl,type,
sk168: $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 @ 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 @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( 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 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p11 )
& ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ! [C: $i] :
( ( C @ p11 )
| ~ ( ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p12 )
& ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ! [C: $i] :
( ( C @ p12 )
| ~ ( ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p13 )
& ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ! [C: $i] :
( ( C @ p13 )
| ~ ( ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p14 )
& ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ! [C: $i] :
( ( C @ p14 )
| ~ ( ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p15 )
& ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ! [C: $i] :
( ( C @ p15 )
| ~ ( ! [D: $i] :
( ( D @ p16 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p16 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
~ ( ~ ( ( A @ p15 )
& ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p15 ) )
| ( A @ p16 )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
~ ( ( A @ p15 )
| ~ ( ! [B: $i] :
( ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p16 ) )
| ~ ( A @ ( sk7 @ r1 ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p15 )
| ~ ( ! [B: $i] :
( ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p16 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: $i] :
~ ( ~ ( ( A @ p15 )
& ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p15 ) )
| ( A @ p16 )
| ~ ( A @ ( sk10 @ r1 ) ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i] :
~ ( ~ ( ( A @ p15 )
& ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p15 ) )
| ( A @ p16 )
| ( A @ p15 )
| ~ ( ! [B: $i] :
( ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p16 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( @+[A: $i] :
~ ( ~ ( ( A @ p14 )
& ! [B: $i] :
( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p14 ) )
| ( A @ p15 )
| ! [B: $i] :
( ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk19_def,definition,
( sk19
= ( @+[A: $i] :
~ ( ( A @ p14 )
| ~ ( ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p15 ) )
| ~ ( A @ ( sk18 @ r1 ) ) ) ) ) ).
thf(sk21_def,definition,
( sk21
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p14 )
| ~ ( ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p15 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk22_def,definition,
( sk22
= ( @+[A: $i] :
~ ( ~ ( ( A @ p14 )
& ! [B: $i] :
( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p14 ) )
| ( A @ p15 )
| ~ ( A @ ( sk21 @ r1 ) ) ) ) ) ).
thf(sk23_def,definition,
( sk23
= ( @+[A: $i] :
~ ( ~ ( ( A @ p14 )
& ! [B: $i] :
( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p14 ) )
| ( A @ p15 )
| ( A @ p14 )
| ~ ( ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p15 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk29_def,definition,
( sk29
= ( @+[A: $i] :
~ ( ~ ( ( A @ p13 )
& ! [B: $i] :
( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p13 ) )
| ( A @ p14 )
| ! [B: $i] :
( ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk30_def,definition,
( sk30
= ( @+[A: $i] :
~ ( ( A @ p13 )
| ~ ( ! [B: $i] :
( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p14 ) )
| ~ ( A @ ( sk29 @ r1 ) ) ) ) ) ).
thf(sk32_def,definition,
( sk32
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p13 )
| ~ ( ! [B: $i] :
( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p14 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk33_def,definition,
( sk33
= ( @+[A: $i] :
~ ( ~ ( ( A @ p13 )
& ! [B: $i] :
( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p13 ) )
| ( A @ p14 )
| ~ ( A @ ( sk32 @ r1 ) ) ) ) ) ).
thf(sk34_def,definition,
( sk34
= ( @+[A: $i] :
~ ( ~ ( ( A @ p13 )
& ! [B: $i] :
( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p13 ) )
| ( A @ p14 )
| ( A @ p13 )
| ~ ( ! [B: $i] :
( ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p14 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk36_def,definition,
( sk36
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk38_def,definition,
( sk38
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk40_def,definition,
( sk40
= ( @+[A: $i] :
~ ( ~ ( ( A @ p12 )
& ! [B: $i] :
( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p12 ) )
| ( A @ p13 )
| ! [B: $i] :
( ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk41_def,definition,
( sk41
= ( @+[A: $i] :
~ ( ( A @ p12 )
| ~ ( ! [B: $i] :
( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p13 ) )
| ~ ( A @ ( sk40 @ r1 ) ) ) ) ) ).
thf(sk43_def,definition,
( sk43
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p12 )
| ~ ( ! [B: $i] :
( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p13 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk44_def,definition,
( sk44
= ( @+[A: $i] :
~ ( ~ ( ( A @ p12 )
& ! [B: $i] :
( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p12 ) )
| ( A @ p13 )
| ~ ( A @ ( sk43 @ r1 ) ) ) ) ) ).
thf(sk45_def,definition,
( sk45
= ( @+[A: $i] :
~ ( ~ ( ( A @ p12 )
& ! [B: $i] :
( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p12 ) )
| ( A @ p13 )
| ( A @ p12 )
| ~ ( ! [B: $i] :
( ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p13 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk47_def,definition,
( sk47
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk49_def,definition,
( sk49
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk51_def,definition,
( sk51
= ( @+[A: $i] :
~ ( ~ ( ( A @ p11 )
& ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ( A @ p12 )
| ! [B: $i] :
( ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk52_def,definition,
( sk52
= ( @+[A: $i] :
~ ( ( A @ p11 )
| ~ ( ! [B: $i] :
( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p12 ) )
| ~ ( A @ ( sk51 @ r1 ) ) ) ) ) ).
thf(sk54_def,definition,
( sk54
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p11 )
| ~ ( ! [B: $i] :
( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p12 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk55_def,definition,
( sk55
= ( @+[A: $i] :
~ ( ~ ( ( A @ p11 )
& ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ( A @ p12 )
| ~ ( A @ ( sk54 @ r1 ) ) ) ) ) ).
thf(sk56_def,definition,
( sk56
= ( @+[A: $i] :
~ ( ~ ( ( A @ p11 )
& ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ( A @ p12 )
| ( A @ p11 )
| ~ ( ! [B: $i] :
( ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p12 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk58_def,definition,
( sk58
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk60_def,definition,
( sk60
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk62_def,definition,
( sk62
= ( @+[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(sk63_def,definition,
( sk63
= ( @+[A: $i] :
~ ( ( A @ p10 )
| ~ ( ! [B: $i] :
( ( B @ p11 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p11 ) )
| ~ ( A @ ( sk62 @ r1 ) ) ) ) ) ).
thf(sk65_def,definition,
( sk65
= ( @+[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(sk66_def,definition,
( sk66
= ( @+[A: $i] :
~ ( ~ ( ( A @ p10 )
& ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ( A @ p11 )
| ~ ( A @ ( sk65 @ r1 ) ) ) ) ) ).
thf(sk67_def,definition,
( sk67
= ( @+[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(sk69_def,definition,
( sk69
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk71_def,definition,
( sk71
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk73_def,definition,
( sk73
= ( @+[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(sk74_def,definition,
( sk74
= ( @+[A: $i] :
~ ( ( A @ p9 )
| ~ ( ! [B: $i] :
( ( B @ p10 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p10 ) )
| ~ ( A @ ( sk73 @ r1 ) ) ) ) ) ).
thf(sk76_def,definition,
( sk76
= ( @+[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(sk77_def,definition,
( sk77
= ( @+[A: $i] :
~ ( ~ ( ( A @ p9 )
& ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ( A @ p10 )
| ~ ( A @ ( sk76 @ r1 ) ) ) ) ) ).
thf(sk78_def,definition,
( sk78
= ( @+[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(sk80_def,definition,
( sk80
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk82_def,definition,
( sk82
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk84_def,definition,
( sk84
= ( @+[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(sk85_def,definition,
( sk85
= ( @+[A: $i] :
~ ( ( A @ p8 )
| ~ ( ! [B: $i] :
( ( B @ p9 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p9 ) )
| ~ ( A @ ( sk84 @ r1 ) ) ) ) ) ).
thf(sk87_def,definition,
( sk87
= ( @+[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(sk88_def,definition,
( sk88
= ( @+[A: $i] :
~ ( ~ ( ( A @ p8 )
& ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ( A @ p9 )
| ~ ( A @ ( sk87 @ r1 ) ) ) ) ) ).
thf(sk89_def,definition,
( sk89
= ( @+[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(sk91_def,definition,
( sk91
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk93_def,definition,
( sk93
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk95_def,definition,
( sk95
= ( @+[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(sk96_def,definition,
( sk96
= ( @+[A: $i] :
~ ( ( A @ p7 )
| ~ ( ! [B: $i] :
( ( B @ p8 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p8 ) )
| ~ ( A @ ( sk95 @ r1 ) ) ) ) ) ).
thf(sk98_def,definition,
( sk98
= ( @+[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(sk99_def,definition,
( sk99
= ( @+[A: $i] :
~ ( ~ ( ( A @ p7 )
& ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ( A @ p8 )
| ~ ( A @ ( sk98 @ r1 ) ) ) ) ) ).
thf(sk100_def,definition,
( sk100
= ( @+[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(sk102_def,definition,
( sk102
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk104_def,definition,
( sk104
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk106_def,definition,
( sk106
= ( @+[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(sk107_def,definition,
( sk107
= ( @+[A: $i] :
~ ( ( A @ p6 )
| ~ ( ! [B: $i] :
( ( B @ p7 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p7 ) )
| ~ ( A @ ( sk106 @ r1 ) ) ) ) ) ).
thf(sk109_def,definition,
( sk109
= ( @+[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(sk110_def,definition,
( sk110
= ( @+[A: $i] :
~ ( ~ ( ( A @ p6 )
& ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ( A @ p7 )
| ~ ( A @ ( sk109 @ r1 ) ) ) ) ) ).
thf(sk111_def,definition,
( sk111
= ( @+[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(sk112_def,definition,
( sk112
= ( @+[A: $i] :
~ ( ~ ( ( A @ p15 )
& ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( A @ p15 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk113_def,definition,
( sk113
= ( @+[A: $i] :
~ ( ~ ( ( A @ p15 )
& ! [B: $i] :
( ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( A @ p15 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk115_def,definition,
( sk115
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk117_def,definition,
( sk117
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk119_def,definition,
( sk119
= ( @+[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(sk120_def,definition,
( sk120
= ( @+[A: $i] :
~ ( ( A @ p5 )
| ~ ( ! [B: $i] :
( ( B @ p6 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p6 ) )
| ~ ( A @ ( sk119 @ r1 ) ) ) ) ) ).
thf(sk122_def,definition,
( sk122
= ( @+[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(sk123_def,definition,
( sk123
= ( @+[A: $i] :
~ ( ~ ( ( A @ p5 )
& ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ( A @ p6 )
| ~ ( A @ ( sk122 @ r1 ) ) ) ) ) ).
thf(sk124_def,definition,
( sk124
= ( @+[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(sk126_def,definition,
( sk126
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk128_def,definition,
( sk128
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk130_def,definition,
( sk130
= ( @+[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(sk131_def,definition,
( sk131
= ( @+[A: $i] :
~ ( ( A @ p4 )
| ~ ( ! [B: $i] :
( ( B @ p5 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p5 ) )
| ~ ( A @ ( sk130 @ r1 ) ) ) ) ) ).
thf(sk133_def,definition,
( sk133
= ( @+[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(sk134_def,definition,
( sk134
= ( @+[A: $i] :
~ ( ~ ( ( A @ p4 )
& ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ( A @ p5 )
| ~ ( A @ ( sk133 @ r1 ) ) ) ) ) ).
thf(sk135_def,definition,
( sk135
= ( @+[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(sk137_def,definition,
( sk137
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk139_def,definition,
( sk139
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk141_def,definition,
( sk141
= ( @+[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(sk142_def,definition,
( sk142
= ( @+[A: $i] :
~ ( ( A @ p3 )
| ~ ( ! [B: $i] :
( ( B @ p4 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p4 ) )
| ~ ( A @ ( sk141 @ r1 ) ) ) ) ) ).
thf(sk144_def,definition,
( sk144
= ( @+[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(sk145_def,definition,
( sk145
= ( @+[A: $i] :
~ ( ~ ( ( A @ p3 )
& ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ( A @ p4 )
| ~ ( A @ ( sk144 @ r1 ) ) ) ) ) ).
thf(sk146_def,definition,
( sk146
= ( @+[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(sk148_def,definition,
( sk148
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk150_def,definition,
( sk150
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk152_def,definition,
( sk152
= ( @+[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(sk153_def,definition,
( sk153
= ( @+[A: $i] :
~ ( ( A @ p2 )
| ~ ( ! [B: $i] :
( ( B @ p3 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p3 ) )
| ~ ( A @ ( sk152 @ r1 ) ) ) ) ) ).
thf(sk155_def,definition,
( sk155
= ( @+[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(sk156_def,definition,
( sk156
= ( @+[A: $i] :
~ ( ~ ( ( A @ p2 )
& ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ( A @ p3 )
| ~ ( A @ ( sk155 @ r1 ) ) ) ) ) ).
thf(sk157_def,definition,
( sk157
= ( @+[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(sk159_def,definition,
( sk159
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk161_def,definition,
( sk161
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk163_def,definition,
( sk163
= ( @+[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(sk164_def,definition,
( sk164
= ( @+[A: $i] :
~ ( ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk163 @ r1 ) ) ) ) ) ).
thf(sk166_def,definition,
( sk166
= ( @+[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(sk167_def,definition,
( sk167
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ~ ( A @ ( sk166 @ r1 ) ) ) ) ) ).
thf(sk168_def,definition,
( sk168
= ( @+[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 @ 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 @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( 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 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p11 )
& ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ! [C: $i] :
( ( C @ p11 )
| ~ ( ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p12 )
& ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ! [C: $i] :
( ( C @ p12 )
| ~ ( ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p13 )
& ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ! [C: $i] :
( ( C @ p13 )
| ~ ( ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p14 )
& ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ! [C: $i] :
( ( C @ p14 )
| ~ ( ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p15 )
& ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ! [C: $i] :
( ( C @ p15 )
| ~ ( ! [D: $i] :
( ( D @ p16 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p16 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
file('/export/starexec/sandbox/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 )
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& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ! [C: $i] :
( ( C @ p15 )
| ~ ( ! [D: $i] :
( ( D @ p16 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p16 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( 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 @ 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 @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( 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 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p11 )
& ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ! [C: $i] :
( ( C @ p11 )
| ~ ( ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p12 )
& ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ! [C: $i] :
( ( C @ p12 )
| ~ ( ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p13 )
& ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ! [C: $i] :
( ( C @ p13 )
| ~ ( ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p14 )
& ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ! [C: $i] :
( ( C @ p14 )
| ~ ( ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p15 )
& ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ! [C: $i] :
( ( C @ p15 )
| ~ ( ! [D: $i] :
( ( D @ p16 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p16 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( 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 @ 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 @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( 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 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p11 )
& ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ! [C: $i] :
( ( C @ p11 )
| ~ ( ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p12 )
& ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ! [C: $i] :
( ( C @ p12 )
| ~ ( ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p13 )
& ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ! [C: $i] :
( ( C @ p13 )
| ~ ( ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p14 )
& ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ! [C: $i] :
( ( C @ p14 )
| ~ ( ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p15 )
& ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ! [C: $i] :
( ( C @ p15 )
| ~ ( ! [D: $i] :
( ( D @ p16 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p16 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( 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 @ 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 @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p15 )
| ~ ( 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 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p11 )
& ! [D: $i] :
( ( D @ p11 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p11 ) )
| ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ! [C: $i] :
( ( C @ p11 )
| ~ ( ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p11 )
& ! [C: $i] :
( ( C @ p11 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p11 ) )
| ( B @ p12 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p11 )
| ~ ( ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p12 )
& ! [D: $i] :
( ( D @ p12 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p12 ) )
| ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ! [C: $i] :
( ( C @ p12 )
| ~ ( ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p12 )
& ! [C: $i] :
( ( C @ p12 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p12 ) )
| ( B @ p13 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p12 )
| ~ ( ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p13 )
& ! [D: $i] :
( ( D @ p13 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p13 ) )
| ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ! [C: $i] :
( ( C @ p13 )
| ~ ( ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p13 )
& ! [C: $i] :
( ( C @ p13 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p13 ) )
| ( B @ p14 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p13 )
| ~ ( ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p14 )
& ! [D: $i] :
( ( D @ p14 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p14 ) )
| ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ! [C: $i] :
( ( C @ p14 )
| ~ ( ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p14 )
& ! [C: $i] :
( ( C @ p14 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p14 ) )
| ( B @ p15 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p14 )
| ~ ( ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p15 )
& ! [D: $i] :
( ( D @ p15 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p15 ) )
| ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ! [C: $i] :
( ( C @ p15 )
| ~ ( ! [D: $i] :
( ( D @ p16 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p16 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p15 )
& ! [C: $i] :
( ( C @ p15 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p15 ) )
| ( B @ p16 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p15 )
| ~ ( ! [C: $i] :
( ( C @ p16 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p16 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
! [ZZZZR: $i,ZZZZQ: $i,ZZZZP: $i,ZZZZO: $i,ZZZZN: $i,ZZZZM: $i,ZZZZL: $i,ZZZZK: $i,ZZZZJ: $i,ZZZZI: $i,ZZZZH: $i,ZZZZG: $i,ZZZZF: $i,ZZZZE: $i,ZZZZD: $i,ZZZZC: $i,ZZZZB: $i,ZZZZA: $i,ZZZZ: $i,ZZZY: $i,ZZZX: $i,ZZZW: $i,ZZZV: $i,ZZZU: $i,ZZZT: $i,ZZZS: $i,ZZZR: $i,ZZZQ: $i,ZZZP: $i,ZZZO: $i,ZZZN: $i,ZZZM: $i,ZZZL: $i,ZZZK: $i,ZZZJ: $i,ZZZI: $i,ZZZH: $i,ZZZG: $i,ZZZF: $i,ZZZE: $i,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] :
( ( ( sk168 @ p1 )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ( ZZZZR @ p1 )
| ~ ( ZZZZR @ ( sk168 @ r1 ) )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ( sk168 @ p1 )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ ( sk168 @ p2 )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ ( sk168 @ p1 )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ( ZZZZQ @ p2 )
| ~ ( ZZZZQ @ ( sk168 @ r1 ) )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ( sk168 @ p2 )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ( sk168 @ ( sk1 @ r1 ) )
| sk165
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( sk167 @ p1 )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( ZZZZP @ p1 )
| ~ ( ZZZZP @ ( sk167 @ r1 ) )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( sk167 @ p1 )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ~ ( sk167 @ p2 )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( sk167 @ ( sk166 @ r1 ) )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ~ ( sk166 @ p1 )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( ZZZZO @ p2 )
| ~ ( ZZZZO @ ( sk166 @ r1 ) )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( sk166 @ p2 )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk165
| ( sk166 @ ( sk1 @ r1 ) )
| sk162
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( sk163 @ p1 )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( ZZZZN @ p1 )
| ~ ( ZZZZN @ ( sk163 @ r1 ) )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( sk163 @ p1 )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ~ ( sk163 @ p2 )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ~ ( sk164 @ p1 )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( ZZZZM @ p2 )
| ~ ( ZZZZM @ ( sk164 @ r1 ) )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( sk164 @ p2 )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( sk164 @ ( sk163 @ r1 ) )
| ~ sk160
| ~ sk158 )
& ( ~ sk162
| ( sk163 @ ( sk1 @ r1 ) )
| ~ sk160
| ~ sk158 )
& ( sk160
| ~ ( ZZZZL @ p1 )
| ~ ( ZZZZL @ sk161 @ p1 )
| ~ ( ZZZZL @ p1 )
| ( ZZZZL @ p2 )
| ~ ( ZZZZL @ ( sk1 @ r1 ) )
| ~ sk158 )
& ( sk160
| ~ ( ZZZZL @ p1 )
| ( ZZZZL @ sk161 @ ( ZZZZL @ r1 ) )
| ~ ( ZZZZL @ p1 )
| ( ZZZZL @ p2 )
| ~ ( ZZZZL @ ( sk1 @ r1 ) )
| ~ sk158 )
& ( sk158
| ( ZZZZK @ p1 )
| ~ ( ZZZZK @ sk159 @ p2 )
| ~ ( ZZZZK @ p2 )
| ~ ( ZZZZK @ ( sk1 @ r1 ) ) )
& ( sk158
| ( ZZZZK @ p1 )
| ( ZZZZK @ sk159 @ ( ZZZZK @ r1 ) )
| ~ ( ZZZZK @ p2 )
| ~ ( ZZZZK @ ( sk1 @ r1 ) ) )
& ( ( sk157 @ p2 )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ( ZZZZJ @ p2 )
| ~ ( ZZZZJ @ ( sk157 @ r1 ) )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ( sk157 @ p2 )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ ( sk157 @ p3 )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ ( sk157 @ p2 )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ( ZZZZI @ p3 )
| ~ ( ZZZZI @ ( sk157 @ r1 ) )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ( sk157 @ p3 )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ( sk157 @ ( sk1 @ r1 ) )
| sk154
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( sk156 @ p2 )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( ZZZZH @ p2 )
| ~ ( ZZZZH @ ( sk156 @ r1 ) )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( sk156 @ p2 )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ~ ( sk156 @ p3 )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( sk156 @ ( sk155 @ r1 ) )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ~ ( sk155 @ p2 )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( ZZZZG @ p3 )
| ~ ( ZZZZG @ ( sk155 @ r1 ) )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( sk155 @ p3 )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk154
| ( sk155 @ ( sk1 @ r1 ) )
| sk151
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( sk152 @ p2 )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( ZZZZF @ p2 )
| ~ ( ZZZZF @ ( sk152 @ r1 ) )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( sk152 @ p2 )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ~ ( sk152 @ p3 )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ~ ( sk153 @ p2 )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( ZZZZE @ p3 )
| ~ ( ZZZZE @ ( sk153 @ r1 ) )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( sk153 @ p3 )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( sk153 @ ( sk152 @ r1 ) )
| ~ sk149
| ~ sk147 )
& ( ~ sk151
| ( sk152 @ ( sk1 @ r1 ) )
| ~ sk149
| ~ sk147 )
& ( sk149
| ~ ( ZZZZD @ p2 )
| ~ ( ZZZZD @ sk150 @ p2 )
| ~ ( ZZZZD @ p2 )
| ( ZZZZD @ p3 )
| ~ ( ZZZZD @ ( sk1 @ r1 ) )
| ~ sk147 )
& ( sk149
| ~ ( ZZZZD @ p2 )
| ( ZZZZD @ sk150 @ ( ZZZZD @ r1 ) )
| ~ ( ZZZZD @ p2 )
| ( ZZZZD @ p3 )
| ~ ( ZZZZD @ ( sk1 @ r1 ) )
| ~ sk147 )
& ( sk147
| ( ZZZZC @ p2 )
| ~ ( ZZZZC @ sk148 @ p3 )
| ~ ( ZZZZC @ p3 )
| ~ ( ZZZZC @ ( sk1 @ r1 ) ) )
& ( sk147
| ( ZZZZC @ p2 )
| ( ZZZZC @ sk148 @ ( ZZZZC @ r1 ) )
| ~ ( ZZZZC @ p3 )
| ~ ( ZZZZC @ ( sk1 @ r1 ) ) )
& ( ( sk146 @ p3 )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ( ZZZZB @ p3 )
| ~ ( ZZZZB @ ( sk146 @ r1 ) )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ( sk146 @ p3 )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ ( sk146 @ p4 )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ ( sk146 @ p3 )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ( ZZZZA @ p4 )
| ~ ( ZZZZA @ ( sk146 @ r1 ) )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ( sk146 @ p4 )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ( sk146 @ ( sk1 @ r1 ) )
| sk143
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( sk145 @ p3 )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( ZZZZ @ p3 )
| ~ ( ZZZZ @ ( sk145 @ r1 ) )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( sk145 @ p3 )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ~ ( sk145 @ p4 )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( sk145 @ ( sk144 @ r1 ) )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ~ ( sk144 @ p3 )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( ZZZY @ p4 )
| ~ ( ZZZY @ ( sk144 @ r1 ) )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( sk144 @ p4 )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk143
| ( sk144 @ ( sk1 @ r1 ) )
| sk140
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( sk141 @ p3 )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( ZZZX @ p3 )
| ~ ( ZZZX @ ( sk141 @ r1 ) )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( sk141 @ p3 )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ~ ( sk141 @ p4 )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ~ ( sk142 @ p3 )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( ZZZW @ p4 )
| ~ ( ZZZW @ ( sk142 @ r1 ) )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( sk142 @ p4 )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( sk142 @ ( sk141 @ r1 ) )
| ~ sk138
| ~ sk136 )
& ( ~ sk140
| ( sk141 @ ( sk1 @ r1 ) )
| ~ sk138
| ~ sk136 )
& ( sk138
| ~ ( ZZZV @ p3 )
| ~ ( ZZZV @ sk139 @ p3 )
| ~ ( ZZZV @ p3 )
| ( ZZZV @ p4 )
| ~ ( ZZZV @ ( sk1 @ r1 ) )
| ~ sk136 )
& ( sk138
| ~ ( ZZZV @ p3 )
| ( ZZZV @ sk139 @ ( ZZZV @ r1 ) )
| ~ ( ZZZV @ p3 )
| ( ZZZV @ p4 )
| ~ ( ZZZV @ ( sk1 @ r1 ) )
| ~ sk136 )
& ( sk136
| ( ZZZU @ p3 )
| ~ ( ZZZU @ sk137 @ p4 )
| ~ ( ZZZU @ p4 )
| ~ ( ZZZU @ ( sk1 @ r1 ) ) )
& ( sk136
| ( ZZZU @ p3 )
| ( ZZZU @ sk137 @ ( ZZZU @ r1 ) )
| ~ ( ZZZU @ p4 )
| ~ ( ZZZU @ ( sk1 @ r1 ) ) )
& ( ( sk135 @ p4 )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ( ZZZT @ p4 )
| ~ ( ZZZT @ ( sk135 @ r1 ) )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ( sk135 @ p4 )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ ( sk135 @ p5 )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ ( sk135 @ p4 )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ( ZZZS @ p5 )
| ~ ( ZZZS @ ( sk135 @ r1 ) )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ( sk135 @ p5 )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ( sk135 @ ( sk1 @ r1 ) )
| sk132
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( sk134 @ p4 )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( ZZZR @ p4 )
| ~ ( ZZZR @ ( sk134 @ r1 ) )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( sk134 @ p4 )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ~ ( sk134 @ p5 )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( sk134 @ ( sk133 @ r1 ) )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ~ ( sk133 @ p4 )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( ZZZQ @ p5 )
| ~ ( ZZZQ @ ( sk133 @ r1 ) )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( sk133 @ p5 )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk132
| ( sk133 @ ( sk1 @ r1 ) )
| sk129
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( sk130 @ p4 )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( ZZZP @ p4 )
| ~ ( ZZZP @ ( sk130 @ r1 ) )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( sk130 @ p4 )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ~ ( sk130 @ p5 )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ~ ( sk131 @ p4 )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( ZZZO @ p5 )
| ~ ( ZZZO @ ( sk131 @ r1 ) )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( sk131 @ p5 )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( sk131 @ ( sk130 @ r1 ) )
| ~ sk127
| ~ sk125 )
& ( ~ sk129
| ( sk130 @ ( sk1 @ r1 ) )
| ~ sk127
| ~ sk125 )
& ( sk127
| ~ ( ZZZN @ p4 )
| ~ ( ZZZN @ sk128 @ p4 )
| ~ ( ZZZN @ p4 )
| ( ZZZN @ p5 )
| ~ ( ZZZN @ ( sk1 @ r1 ) )
| ~ sk125 )
& ( sk127
| ~ ( ZZZN @ p4 )
| ( ZZZN @ sk128 @ ( ZZZN @ r1 ) )
| ~ ( ZZZN @ p4 )
| ( ZZZN @ p5 )
| ~ ( ZZZN @ ( sk1 @ r1 ) )
| ~ sk125 )
& ( sk125
| ( ZZZM @ p4 )
| ~ ( ZZZM @ sk126 @ p5 )
| ~ ( ZZZM @ p5 )
| ~ ( ZZZM @ ( sk1 @ r1 ) ) )
& ( sk125
| ( ZZZM @ p4 )
| ( ZZZM @ sk126 @ ( ZZZM @ r1 ) )
| ~ ( ZZZM @ p5 )
| ~ ( ZZZM @ ( sk1 @ r1 ) ) )
& ( ( sk124 @ p5 )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ( ZZZL @ p5 )
| ~ ( ZZZL @ ( sk124 @ r1 ) )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ( sk124 @ p5 )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ ( sk124 @ p6 )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ ( sk124 @ p5 )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ( ZZZK @ p6 )
| ~ ( ZZZK @ ( sk124 @ r1 ) )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ( sk124 @ p6 )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ( sk124 @ ( sk1 @ r1 ) )
| sk121
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( sk123 @ p5 )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( ZZZJ @ p5 )
| ~ ( ZZZJ @ ( sk123 @ r1 ) )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( sk123 @ p5 )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ~ ( sk123 @ p6 )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( sk123 @ ( sk122 @ r1 ) )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ~ ( sk122 @ p5 )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( ZZZI @ p6 )
| ~ ( ZZZI @ ( sk122 @ r1 ) )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( sk122 @ p6 )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk121
| ( sk122 @ ( sk1 @ r1 ) )
| sk118
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( sk119 @ p5 )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( ZZZH @ p5 )
| ~ ( ZZZH @ ( sk119 @ r1 ) )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( sk119 @ p5 )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ~ ( sk119 @ p6 )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ~ ( sk120 @ p5 )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( ZZZG @ p6 )
| ~ ( ZZZG @ ( sk120 @ r1 ) )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( sk120 @ p6 )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( sk120 @ ( sk119 @ r1 ) )
| ~ sk116
| ~ sk114 )
& ( ~ sk118
| ( sk119 @ ( sk1 @ r1 ) )
| ~ sk116
| ~ sk114 )
& ( sk116
| ~ ( ZZZF @ p5 )
| ~ ( ZZZF @ sk117 @ p5 )
| ~ ( ZZZF @ p5 )
| ( ZZZF @ p6 )
| ~ ( ZZZF @ ( sk1 @ r1 ) )
| ~ sk114 )
& ( sk116
| ~ ( ZZZF @ p5 )
| ( ZZZF @ sk117 @ ( ZZZF @ r1 ) )
| ~ ( ZZZF @ p5 )
| ( ZZZF @ p6 )
| ~ ( ZZZF @ ( sk1 @ r1 ) )
| ~ sk114 )
& ( sk114
| ( ZZZE @ p5 )
| ~ ( ZZZE @ sk115 @ p6 )
| ~ ( ZZZE @ p6 )
| ~ ( ZZZE @ ( sk1 @ r1 ) ) )
& ( sk114
| ( ZZZE @ p5 )
| ( ZZZE @ sk115 @ ( ZZZE @ r1 ) )
| ~ ( ZZZE @ p6 )
| ~ ( ZZZE @ ( sk1 @ r1 ) ) )
& ( sk113 @ p15 )
& ( ( ZZZD @ p15 )
| ~ ( ZZZD @ ( sk113 @ r1 ) ) )
& ~ ( sk113 @ p15 )
& ( sk113 @ ( sk1 @ r1 ) )
& ( sk112 @ p15 )
& ( ( ZZZC @ p15 )
| ~ ( ZZZC @ ( sk112 @ r1 ) ) )
& ~ ( sk112 @ p15 )
& ( sk112 @ ( sk1 @ r1 ) )
& ( ( sk111 @ p6 )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ( ZZZB @ p6 )
| ~ ( ZZZB @ ( sk111 @ r1 ) )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ( sk111 @ p6 )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ ( sk111 @ p7 )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ ( sk111 @ p6 )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ( ZZZA @ p7 )
| ~ ( ZZZA @ ( sk111 @ r1 ) )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ( sk111 @ p7 )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ( sk111 @ ( sk1 @ r1 ) )
| sk108
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( sk110 @ p6 )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( ZZZ @ p6 )
| ~ ( ZZZ @ ( sk110 @ r1 ) )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( sk110 @ p6 )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ~ ( sk110 @ p7 )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( sk110 @ ( sk109 @ r1 ) )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ~ ( sk109 @ p6 )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( ZZY @ p7 )
| ~ ( ZZY @ ( sk109 @ r1 ) )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( sk109 @ p7 )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk108
| ( sk109 @ ( sk1 @ r1 ) )
| sk105
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( sk106 @ p6 )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( ZZX @ p6 )
| ~ ( ZZX @ ( sk106 @ r1 ) )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( sk106 @ p6 )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ~ ( sk106 @ p7 )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ~ ( sk107 @ p6 )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( ZZW @ p7 )
| ~ ( ZZW @ ( sk107 @ r1 ) )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( sk107 @ p7 )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( sk107 @ ( sk106 @ r1 ) )
| ~ sk103
| ~ sk101 )
& ( ~ sk105
| ( sk106 @ ( sk1 @ r1 ) )
| ~ sk103
| ~ sk101 )
& ( sk103
| ~ ( ZZV @ p6 )
| ~ ( ZZV @ sk104 @ p6 )
| ~ ( ZZV @ p6 )
| ( ZZV @ p7 )
| ~ ( ZZV @ ( sk1 @ r1 ) )
| ~ sk101 )
& ( sk103
| ~ ( ZZV @ p6 )
| ( ZZV @ sk104 @ ( ZZV @ r1 ) )
| ~ ( ZZV @ p6 )
| ( ZZV @ p7 )
| ~ ( ZZV @ ( sk1 @ r1 ) )
| ~ sk101 )
& ( sk101
| ( ZZU @ p6 )
| ~ ( ZZU @ sk102 @ p7 )
| ~ ( ZZU @ p7 )
| ~ ( ZZU @ ( sk1 @ r1 ) ) )
& ( sk101
| ( ZZU @ p6 )
| ( ZZU @ sk102 @ ( ZZU @ r1 ) )
| ~ ( ZZU @ p7 )
| ~ ( ZZU @ ( sk1 @ r1 ) ) )
& ( ( sk100 @ p7 )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ( ZZT @ p7 )
| ~ ( ZZT @ ( sk100 @ r1 ) )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ( sk100 @ p7 )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ ( sk100 @ p8 )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ ( sk100 @ p7 )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ( ZZS @ p8 )
| ~ ( ZZS @ ( sk100 @ r1 ) )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ( sk100 @ p8 )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ( sk100 @ ( sk1 @ r1 ) )
| sk97
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( sk99 @ p7 )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( ZZR @ p7 )
| ~ ( ZZR @ ( sk99 @ r1 ) )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( sk99 @ p7 )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ~ ( sk99 @ p8 )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( sk99 @ ( sk98 @ r1 ) )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ~ ( sk98 @ p7 )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( ZZQ @ p8 )
| ~ ( ZZQ @ ( sk98 @ r1 ) )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( sk98 @ p8 )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk97
| ( sk98 @ ( sk1 @ r1 ) )
| sk94
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( sk95 @ p7 )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( ZZP @ p7 )
| ~ ( ZZP @ ( sk95 @ r1 ) )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( sk95 @ p7 )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ~ ( sk95 @ p8 )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ~ ( sk96 @ p7 )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( ZZO @ p8 )
| ~ ( ZZO @ ( sk96 @ r1 ) )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( sk96 @ p8 )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( sk96 @ ( sk95 @ r1 ) )
| ~ sk92
| ~ sk90 )
& ( ~ sk94
| ( sk95 @ ( sk1 @ r1 ) )
| ~ sk92
| ~ sk90 )
& ( sk92
| ~ ( ZZN @ p7 )
| ~ ( ZZN @ sk93 @ p7 )
| ~ ( ZZN @ p7 )
| ( ZZN @ p8 )
| ~ ( ZZN @ ( sk1 @ r1 ) )
| ~ sk90 )
& ( sk92
| ~ ( ZZN @ p7 )
| ( ZZN @ sk93 @ ( ZZN @ r1 ) )
| ~ ( ZZN @ p7 )
| ( ZZN @ p8 )
| ~ ( ZZN @ ( sk1 @ r1 ) )
| ~ sk90 )
& ( sk90
| ( ZZM @ p7 )
| ~ ( ZZM @ sk91 @ p8 )
| ~ ( ZZM @ p8 )
| ~ ( ZZM @ ( sk1 @ r1 ) ) )
& ( sk90
| ( ZZM @ p7 )
| ( ZZM @ sk91 @ ( ZZM @ r1 ) )
| ~ ( ZZM @ p8 )
| ~ ( ZZM @ ( sk1 @ r1 ) ) )
& ( ( sk89 @ p8 )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ( ZZL @ p8 )
| ~ ( ZZL @ ( sk89 @ r1 ) )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ( sk89 @ p8 )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ ( sk89 @ p9 )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ ( sk89 @ p8 )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ( ZZK @ p9 )
| ~ ( ZZK @ ( sk89 @ r1 ) )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ( sk89 @ p9 )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ( sk89 @ ( sk1 @ r1 ) )
| sk86
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( sk88 @ p8 )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( ZZJ @ p8 )
| ~ ( ZZJ @ ( sk88 @ r1 ) )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( sk88 @ p8 )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ~ ( sk88 @ p9 )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( sk88 @ ( sk87 @ r1 ) )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ~ ( sk87 @ p8 )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( ZZI @ p9 )
| ~ ( ZZI @ ( sk87 @ r1 ) )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( sk87 @ p9 )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk86
| ( sk87 @ ( sk1 @ r1 ) )
| sk83
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( sk84 @ p8 )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( ZZH @ p8 )
| ~ ( ZZH @ ( sk84 @ r1 ) )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( sk84 @ p8 )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ~ ( sk84 @ p9 )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ~ ( sk85 @ p8 )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( ZZG @ p9 )
| ~ ( ZZG @ ( sk85 @ r1 ) )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( sk85 @ p9 )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( sk85 @ ( sk84 @ r1 ) )
| ~ sk81
| ~ sk79 )
& ( ~ sk83
| ( sk84 @ ( sk1 @ r1 ) )
| ~ sk81
| ~ sk79 )
& ( sk81
| ~ ( ZZF @ p8 )
| ~ ( ZZF @ sk82 @ p8 )
| ~ ( ZZF @ p8 )
| ( ZZF @ p9 )
| ~ ( ZZF @ ( sk1 @ r1 ) )
| ~ sk79 )
& ( sk81
| ~ ( ZZF @ p8 )
| ( ZZF @ sk82 @ ( ZZF @ r1 ) )
| ~ ( ZZF @ p8 )
| ( ZZF @ p9 )
| ~ ( ZZF @ ( sk1 @ r1 ) )
| ~ sk79 )
& ( sk79
| ( ZZE @ p8 )
| ~ ( ZZE @ sk80 @ p9 )
| ~ ( ZZE @ p9 )
| ~ ( ZZE @ ( sk1 @ r1 ) ) )
& ( sk79
| ( ZZE @ p8 )
| ( ZZE @ sk80 @ ( ZZE @ r1 ) )
| ~ ( ZZE @ p9 )
| ~ ( ZZE @ ( sk1 @ r1 ) ) )
& ( ( sk78 @ p9 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( ZZD @ p9 )
| ~ ( ZZD @ ( sk78 @ r1 ) )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( sk78 @ p9 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ ( sk78 @ p10 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ ( sk78 @ p9 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( ZZC @ p10 )
| ~ ( ZZC @ ( sk78 @ r1 ) )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( sk78 @ p10 )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ( sk78 @ ( sk1 @ r1 ) )
| sk75
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk77 @ p9 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( ZZB @ p9 )
| ~ ( ZZB @ ( sk77 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk77 @ p9 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ~ ( sk77 @ p10 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk77 @ ( sk76 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ~ ( sk76 @ p9 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( ZZA @ p10 )
| ~ ( ZZA @ ( sk76 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk76 @ p10 )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk75
| ( sk76 @ ( sk1 @ r1 ) )
| sk72
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk73 @ p9 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( ZZ @ p9 )
| ~ ( ZZ @ ( sk73 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk73 @ p9 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ~ ( sk73 @ p10 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ~ ( sk74 @ p9 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( ZY @ p10 )
| ~ ( ZY @ ( sk74 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk74 @ p10 )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk74 @ ( sk73 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( ~ sk72
| ( sk73 @ ( sk1 @ r1 ) )
| ~ sk70
| ~ sk68 )
& ( sk70
| ~ ( ZX @ p9 )
| ~ ( ZX @ sk71 @ p9 )
| ~ ( ZX @ p9 )
| ( ZX @ p10 )
| ~ ( ZX @ ( sk1 @ r1 ) )
| ~ sk68 )
& ( sk70
| ~ ( ZX @ p9 )
| ( ZX @ sk71 @ ( ZX @ r1 ) )
| ~ ( ZX @ p9 )
| ( ZX @ p10 )
| ~ ( ZX @ ( sk1 @ r1 ) )
| ~ sk68 )
& ( sk68
| ( ZW @ p9 )
| ~ ( ZW @ sk69 @ p10 )
| ~ ( ZW @ p10 )
| ~ ( ZW @ ( sk1 @ r1 ) ) )
& ( sk68
| ( ZW @ p9 )
| ( ZW @ sk69 @ ( ZW @ r1 ) )
| ~ ( ZW @ p10 )
| ~ ( ZW @ ( sk1 @ r1 ) ) )
& ( ( sk67 @ p10 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( ZV @ p10 )
| ~ ( ZV @ ( sk67 @ r1 ) )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( sk67 @ p10 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ ( sk67 @ p11 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ ( sk67 @ p10 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( ZU @ p11 )
| ~ ( ZU @ ( sk67 @ r1 ) )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( sk67 @ p11 )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ( sk67 @ ( sk1 @ r1 ) )
| sk64
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk66 @ p10 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( ZT @ p10 )
| ~ ( ZT @ ( sk66 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk66 @ p10 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ~ ( sk66 @ p11 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk66 @ ( sk65 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ~ ( sk65 @ p10 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( ZS @ p11 )
| ~ ( ZS @ ( sk65 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk65 @ p11 )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk64
| ( sk65 @ ( sk1 @ r1 ) )
| sk61
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk62 @ p10 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( ZR @ p10 )
| ~ ( ZR @ ( sk62 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk62 @ p10 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ~ ( sk62 @ p11 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ~ ( sk63 @ p10 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( ZQ @ p11 )
| ~ ( ZQ @ ( sk63 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk63 @ p11 )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk63 @ ( sk62 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( ~ sk61
| ( sk62 @ ( sk1 @ r1 ) )
| ~ sk59
| ~ sk57 )
& ( sk59
| ~ ( ZP @ p10 )
| ~ ( ZP @ sk60 @ p10 )
| ~ ( ZP @ p10 )
| ( ZP @ p11 )
| ~ ( ZP @ ( sk1 @ r1 ) )
| ~ sk57 )
& ( sk59
| ~ ( ZP @ p10 )
| ( ZP @ sk60 @ ( ZP @ r1 ) )
| ~ ( ZP @ p10 )
| ( ZP @ p11 )
| ~ ( ZP @ ( sk1 @ r1 ) )
| ~ sk57 )
& ( sk57
| ( ZO @ p10 )
| ~ ( ZO @ sk58 @ p11 )
| ~ ( ZO @ p11 )
| ~ ( ZO @ ( sk1 @ r1 ) ) )
& ( sk57
| ( ZO @ p10 )
| ( ZO @ sk58 @ ( ZO @ r1 ) )
| ~ ( ZO @ p11 )
| ~ ( ZO @ ( sk1 @ r1 ) ) )
& ( ( sk56 @ p11 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( ZN @ p11 )
| ~ ( ZN @ ( sk56 @ r1 ) )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( sk56 @ p11 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ ( sk56 @ p12 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ ( sk56 @ p11 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( ZM @ p12 )
| ~ ( ZM @ ( sk56 @ r1 ) )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( sk56 @ p12 )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ( sk56 @ ( sk1 @ r1 ) )
| sk53
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk55 @ p11 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( ZL @ p11 )
| ~ ( ZL @ ( sk55 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk55 @ p11 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ~ ( sk55 @ p12 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk55 @ ( sk54 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ~ ( sk54 @ p11 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( ZK @ p12 )
| ~ ( ZK @ ( sk54 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk54 @ p12 )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk53
| ( sk54 @ ( sk1 @ r1 ) )
| sk50
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk51 @ p11 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( ZJ @ p11 )
| ~ ( ZJ @ ( sk51 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk51 @ p11 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ~ ( sk51 @ p12 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ~ ( sk52 @ p11 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( ZI @ p12 )
| ~ ( ZI @ ( sk52 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk52 @ p12 )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk52 @ ( sk51 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( ~ sk50
| ( sk51 @ ( sk1 @ r1 ) )
| ~ sk48
| ~ sk46 )
& ( sk48
| ~ ( ZH @ p11 )
| ~ ( ZH @ sk49 @ p11 )
| ~ ( ZH @ p11 )
| ( ZH @ p12 )
| ~ ( ZH @ ( sk1 @ r1 ) )
| ~ sk46 )
& ( sk48
| ~ ( ZH @ p11 )
| ( ZH @ sk49 @ ( ZH @ r1 ) )
| ~ ( ZH @ p11 )
| ( ZH @ p12 )
| ~ ( ZH @ ( sk1 @ r1 ) )
| ~ sk46 )
& ( sk46
| ( ZG @ p11 )
| ~ ( ZG @ sk47 @ p12 )
| ~ ( ZG @ p12 )
| ~ ( ZG @ ( sk1 @ r1 ) ) )
& ( sk46
| ( ZG @ p11 )
| ( ZG @ sk47 @ ( ZG @ r1 ) )
| ~ ( ZG @ p12 )
| ~ ( ZG @ ( sk1 @ r1 ) ) )
& ( ( sk45 @ p12 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( ZF @ p12 )
| ~ ( ZF @ ( sk45 @ r1 ) )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( sk45 @ p12 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ ( sk45 @ p13 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ ( sk45 @ p12 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( ZE @ p13 )
| ~ ( ZE @ ( sk45 @ r1 ) )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( sk45 @ p13 )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ( sk45 @ ( sk1 @ r1 ) )
| sk42
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk44 @ p12 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( ZD @ p12 )
| ~ ( ZD @ ( sk44 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk44 @ p12 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ~ ( sk44 @ p13 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk44 @ ( sk43 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ~ ( sk43 @ p12 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( ZC @ p13 )
| ~ ( ZC @ ( sk43 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk43 @ p13 )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk42
| ( sk43 @ ( sk1 @ r1 ) )
| sk39
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk40 @ p12 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( ZB @ p12 )
| ~ ( ZB @ ( sk40 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk40 @ p12 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ~ ( sk40 @ p13 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ~ ( sk41 @ p12 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( ZA @ p13 )
| ~ ( ZA @ ( sk41 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk41 @ p13 )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk41 @ ( sk40 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( ~ sk39
| ( sk40 @ ( sk1 @ r1 ) )
| ~ sk37
| ~ sk35 )
& ( sk37
| ~ ( Z @ p12 )
| ~ ( Z @ sk38 @ p12 )
| ~ ( Z @ p12 )
| ( Z @ p13 )
| ~ ( Z @ ( sk1 @ r1 ) )
| ~ sk35 )
& ( sk37
| ~ ( Z @ p12 )
| ( Z @ sk38 @ ( Z @ r1 ) )
| ~ ( Z @ p12 )
| ( Z @ p13 )
| ~ ( Z @ ( sk1 @ r1 ) )
| ~ sk35 )
& ( sk35
| ( Y @ p12 )
| ~ ( Y @ sk36 @ p13 )
| ~ ( Y @ p13 )
| ~ ( Y @ ( sk1 @ r1 ) ) )
& ( sk35
| ( Y @ p12 )
| ( Y @ sk36 @ ( Y @ r1 ) )
| ~ ( Y @ p13 )
| ~ ( Y @ ( sk1 @ r1 ) ) )
& ( ( sk34 @ p13 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( X @ p13 )
| ~ ( X @ ( sk34 @ r1 ) )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( sk34 @ p13 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ ( sk34 @ p14 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ ( sk34 @ p13 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( W @ p14 )
| ~ ( W @ ( sk34 @ r1 ) )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( sk34 @ p14 )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ( sk34 @ ( sk1 @ r1 ) )
| sk31
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk33 @ p13 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( V @ p13 )
| ~ ( V @ ( sk33 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk33 @ p13 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ~ ( sk33 @ p14 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk33 @ ( sk32 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ~ ( sk32 @ p13 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( U @ p14 )
| ~ ( U @ ( sk32 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk32 @ p14 )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk31
| ( sk32 @ ( sk1 @ r1 ) )
| sk28
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk29 @ p13 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( T @ p13 )
| ~ ( T @ ( sk29 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk29 @ p13 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ~ ( sk29 @ p14 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ~ ( sk30 @ p13 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( S @ p14 )
| ~ ( S @ ( sk30 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk30 @ p14 )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk30 @ ( sk29 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( ~ sk28
| ( sk29 @ ( sk1 @ r1 ) )
| ~ sk26
| ~ sk24 )
& ( sk26
| ~ ( R @ p13 )
| ~ ( R @ sk27 @ p13 )
| ~ ( R @ p13 )
| ( R @ p14 )
| ~ ( R @ ( sk1 @ r1 ) )
| ~ sk24 )
& ( sk26
| ~ ( R @ p13 )
| ( R @ sk27 @ ( R @ r1 ) )
| ~ ( R @ p13 )
| ( R @ p14 )
| ~ ( R @ ( sk1 @ r1 ) )
| ~ sk24 )
& ( sk24
| ( Q @ p13 )
| ~ ( Q @ sk25 @ p14 )
| ~ ( Q @ p14 )
| ~ ( Q @ ( sk1 @ r1 ) ) )
& ( sk24
| ( Q @ p13 )
| ( Q @ sk25 @ ( Q @ r1 ) )
| ~ ( Q @ p14 )
| ~ ( Q @ ( sk1 @ r1 ) ) )
& ( ( sk23 @ p14 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( P @ p14 )
| ~ ( P @ ( sk23 @ r1 ) )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( sk23 @ p14 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ ( sk23 @ p15 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ ( sk23 @ p14 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( O @ p15 )
| ~ ( O @ ( sk23 @ r1 ) )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( sk23 @ p15 )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ( sk23 @ ( sk1 @ r1 ) )
| sk20
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk22 @ p14 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( N @ p14 )
| ~ ( N @ ( sk22 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk22 @ p14 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ~ ( sk22 @ p15 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk22 @ ( sk21 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ~ ( sk21 @ p14 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( M @ p15 )
| ~ ( M @ ( sk21 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk21 @ p15 )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk20
| ( sk21 @ ( sk1 @ r1 ) )
| sk17
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk18 @ p14 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( L @ p14 )
| ~ ( L @ ( sk18 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk18 @ p14 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ~ ( sk18 @ p15 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ~ ( sk19 @ p14 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( K @ p15 )
| ~ ( K @ ( sk19 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk19 @ p15 )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk19 @ ( sk18 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( ~ sk17
| ( sk18 @ ( sk1 @ r1 ) )
| ~ sk15
| ~ sk13 )
& ( sk15
| ~ ( J @ p14 )
| ~ ( J @ sk16 @ p14 )
| ~ ( J @ p14 )
| ( J @ p15 )
| ~ ( J @ ( sk1 @ r1 ) )
| ~ sk13 )
& ( sk15
| ~ ( J @ p14 )
| ( J @ sk16 @ ( J @ r1 ) )
| ~ ( J @ p14 )
| ( J @ p15 )
| ~ ( J @ ( sk1 @ r1 ) )
| ~ sk13 )
& ( sk13
| ( I @ p14 )
| ~ ( I @ sk14 @ p15 )
| ~ ( I @ p15 )
| ~ ( I @ ( sk1 @ r1 ) ) )
& ( sk13
| ( I @ p14 )
| ( I @ sk14 @ ( I @ r1 ) )
| ~ ( I @ p15 )
| ~ ( I @ ( sk1 @ r1 ) ) )
& ( ( sk12 @ p15 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( H @ p15 )
| ~ ( H @ ( sk12 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ p15 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ ( sk12 @ p16 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ ( sk12 @ p15 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( G @ p16 )
| ~ ( G @ ( sk12 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ p16 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ ( sk1 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ p15 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( F @ p15 )
| ~ ( F @ ( sk11 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ p15 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ~ ( sk11 @ p16 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ ( sk10 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ~ ( sk10 @ p15 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( E @ p16 )
| ~ ( E @ ( sk10 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk10 @ p16 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk10 @ ( sk1 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ p15 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( D @ p15 )
| ~ ( D @ ( sk7 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ p15 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ~ ( sk7 @ p16 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ~ ( sk8 @ p15 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( C @ p16 )
| ~ ( C @ ( sk8 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk8 @ p16 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk8 @ ( sk7 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ ( sk1 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( sk4
| ~ ( B @ p15 )
| ~ ( B @ sk5 @ p15 )
| ~ ( B @ p15 )
| ( B @ p16 )
| ~ ( B @ ( sk1 @ r1 ) )
| ~ sk2 )
& ( sk4
| ~ ( B @ p15 )
| ( B @ sk5 @ ( B @ r1 ) )
| ~ ( B @ p15 )
| ( B @ p16 )
| ~ ( B @ ( sk1 @ r1 ) )
| ~ sk2 )
& ( sk2
| ( A @ p15 )
| ~ ( A @ sk3 @ p16 )
| ~ ( A @ p16 )
| ~ ( A @ ( sk1 @ r1 ) ) )
& ( sk2
| ( A @ p15 )
| ( A @ sk3 @ ( A @ r1 ) )
| ~ ( A @ p16 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(79,plain,
sk112 @ p15,
inference(cnfConj,[status(thm)],[6]) ).
thf(71,plain,
~ ( sk112 @ p15 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(570,plain,
$false,
inference(rewrite,[status(thm)],[79,71]) ).
thf(571,plain,
$false,
inference(simp,[status(thm)],[570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL644+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/15.62 % Computer : n010.cluster.edu
% 0.14/15.62 % Model : x86_64 x86_64
% 0.14/15.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.62 % Memory : 8046.5625MB
% 0.14/15.62 % OS : Linux 6.8.0-71-generic
% 0.14/15.62 % CPULimit : 300
% 0.14/15.62 % WCLimit : 300
% 0.14/15.62 % DateTime : Fri Sep 25 22:54:34 UTC 2026
% 0.14/15.62 % CPUTime :
% 0.14/15.62 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.18/15.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.98/16.10 % [INFO] Parsing done (170ms).
% 0.98/16.11 % [INFO] Running in sequential loop mode.
% 1.99/16.31 % [INFO] eprover registered as external prover.
% 1.99/16.31 % [INFO] Scanning for conjecture ...
% 2.65/16.60 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.65/16.69 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.89/16.70 % [INFO] Problem is first-order (TPTP FOF).
% 2.89/16.72 % [INFO] Type checking passed.
% 2.89/16.73 % [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 ...
% 8.84/18.92 % [INFO] Killing All external provers ...
% 8.84/18.92 % Time passed: 3201ms (effective reasoning time: 2808ms)
% 8.84/18.92 % 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)>
% 8.84/18.92 % Axioms used in derivation (0):
% 8.84/18.92 % No. of inferences in proof: 10
% 8.84/18.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3201 ms resp. 2808 ms w/o parsing
% 10.73/19.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.73/19.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------