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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MSC007-1.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 : Thu Sep 24 01:28:14 PM UTC 2026

% Result   : Unsatisfiable 3.97s 0.94s
% Output   : CNFRefutation 3.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  260
% Syntax   : Number of formulae    :  669 (   1 unt;  56 def)
%            Number of atoms       : 1457 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 1964 (1176   ~; 732   |;   0   &)
%                                         (  56 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :  113 ( 112 usr; 113 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( pigeon_1_in_hole_7
    | pigeon_1_in_hole_6
    | pigeon_1_in_hole_5
    | pigeon_1_in_hole_4
    | pigeon_1_in_hole_3
    | pigeon_1_in_hole_2
    | pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( pigeon_2_in_hole_7
    | pigeon_2_in_hole_6
    | pigeon_2_in_hole_5
    | pigeon_2_in_hole_4
    | pigeon_2_in_hole_3
    | pigeon_2_in_hole_2
    | pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( pigeon_3_in_hole_7
    | pigeon_3_in_hole_6
    | pigeon_3_in_hole_5
    | pigeon_3_in_hole_4
    | pigeon_3_in_hole_3
    | pigeon_3_in_hole_2
    | pigeon_3_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ( pigeon_4_in_hole_7
    | pigeon_4_in_hole_6
    | pigeon_4_in_hole_5
    | pigeon_4_in_hole_4
    | pigeon_4_in_hole_3
    | pigeon_4_in_hole_2
    | pigeon_4_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ( pigeon_5_in_hole_7
    | pigeon_5_in_hole_6
    | pigeon_5_in_hole_5
    | pigeon_5_in_hole_4
    | pigeon_5_in_hole_3
    | pigeon_5_in_hole_2
    | pigeon_5_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ( pigeon_6_in_hole_7
    | pigeon_6_in_hole_6
    | pigeon_6_in_hole_5
    | pigeon_6_in_hole_4
    | pigeon_6_in_hole_3
    | pigeon_6_in_hole_2
    | pigeon_6_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ( pigeon_7_in_hole_7
    | pigeon_7_in_hole_6
    | pigeon_7_in_hole_5
    | pigeon_7_in_hole_4
    | pigeon_7_in_hole_3
    | pigeon_7_in_hole_2
    | pigeon_7_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ( pigeon_8_in_hole_7
    | pigeon_8_in_hole_6
    | pigeon_8_in_hole_5
    | pigeon_8_in_hole_4
    | pigeon_8_in_hole_3
    | pigeon_8_in_hole_2
    | pigeon_8_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ( ~ pigeon_2_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,negated_conjecture,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,negated_conjecture,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f70,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f71,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f72,negated_conjecture,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f73,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f76,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f77,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f79,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f80,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f83,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f84,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f87,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f90,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    ( ~ pigeon_2_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f105,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f107,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f108,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f109,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f110,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f112,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f117,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f118,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f119,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f121,negated_conjecture,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f122,negated_conjecture,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f123,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f124,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f125,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f126,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f127,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f128,negated_conjecture,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f129,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f130,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f131,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f132,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f133,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f134,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f135,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f136,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f137,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f138,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f139,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f140,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f141,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f142,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f143,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f144,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f145,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f146,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f147,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f148,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f149,negated_conjecture,
    ( ~ pigeon_2_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f150,negated_conjecture,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f151,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f152,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f153,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f154,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f155,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f156,negated_conjecture,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f157,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f158,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f161,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f162,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f163,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f164,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f165,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f166,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f167,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f168,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f169,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f170,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f171,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f172,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f173,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f174,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f175,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f176,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f177,negated_conjecture,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f178,negated_conjecture,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f179,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f180,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f181,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f182,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f183,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f184,negated_conjecture,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f185,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f186,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f187,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f188,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f189,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f197,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f198,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f199,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f200,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f201,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f202,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f203,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f204,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f205,plain,
    ( pigeon_1_in_hole_7
    | pigeon_1_in_hole_6
    | pigeon_1_in_hole_5
    | pigeon_1_in_hole_4
    | pigeon_1_in_hole_3
    | pigeon_1_in_hole_2
    | pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f206,plain,
    ( pigeon_2_in_hole_7
    | pigeon_2_in_hole_6
    | pigeon_2_in_hole_5
    | pigeon_2_in_hole_4
    | pigeon_2_in_hole_3
    | pigeon_2_in_hole_2
    | pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f207,plain,
    ( pigeon_3_in_hole_7
    | pigeon_3_in_hole_6
    | pigeon_3_in_hole_5
    | pigeon_3_in_hole_4
    | pigeon_3_in_hole_3
    | pigeon_3_in_hole_2
    | pigeon_3_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f208,plain,
    ( pigeon_4_in_hole_7
    | pigeon_4_in_hole_6
    | pigeon_4_in_hole_5
    | pigeon_4_in_hole_4
    | pigeon_4_in_hole_3
    | pigeon_4_in_hole_2
    | pigeon_4_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f209,plain,
    ( pigeon_5_in_hole_7
    | pigeon_5_in_hole_6
    | pigeon_5_in_hole_5
    | pigeon_5_in_hole_4
    | pigeon_5_in_hole_3
    | pigeon_5_in_hole_2
    | pigeon_5_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f210,plain,
    ( pigeon_6_in_hole_7
    | pigeon_6_in_hole_6
    | pigeon_6_in_hole_5
    | pigeon_6_in_hole_4
    | pigeon_6_in_hole_3
    | pigeon_6_in_hole_2
    | pigeon_6_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f211,plain,
    ( pigeon_7_in_hole_7
    | pigeon_7_in_hole_6
    | pigeon_7_in_hole_5
    | pigeon_7_in_hole_4
    | pigeon_7_in_hole_3
    | pigeon_7_in_hole_2
    | pigeon_7_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f212,plain,
    ( pigeon_8_in_hole_7
    | pigeon_8_in_hole_6
    | pigeon_8_in_hole_5
    | pigeon_8_in_hole_4
    | pigeon_8_in_hole_3
    | pigeon_8_in_hole_2
    | pigeon_8_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f213,plain,
    ( ~ pigeon_2_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f214,plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f215,plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f216,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f217,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f218,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f219,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f220,plain,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f221,plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f222,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f223,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f224,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f225,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f226,plain,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f227,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f228,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f229,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f230,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f231,plain,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f232,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f233,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f234,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f235,plain,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f236,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f237,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f238,plain,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f239,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f240,plain,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f241,plain,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f242,plain,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f243,plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f244,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f245,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f246,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f247,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f248,plain,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f249,plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f250,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f251,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f252,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f253,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f254,plain,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f255,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f256,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f257,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f258,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f259,plain,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f260,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f261,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f262,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f58]) ).

fof(f263,plain,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f264,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f265,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f266,plain,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f62]) ).

fof(f267,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f268,plain,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f269,plain,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f270,plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f271,plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f272,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f68]) ).

fof(f273,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f274,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f275,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f276,plain,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f277,plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f278,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f279,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f280,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f281,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f282,plain,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f283,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f284,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f80]) ).

fof(f285,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f286,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f82]) ).

fof(f287,plain,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f288,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

fof(f289,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f290,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f86]) ).

fof(f291,plain,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f292,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f293,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f294,plain,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f90]) ).

fof(f295,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f296,plain,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f297,plain,
    ( ~ pigeon_2_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f298,plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f299,plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f95]) ).

fof(f300,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f96]) ).

fof(f301,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f97]) ).

fof(f302,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f303,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f304,plain,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f305,plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f306,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f102]) ).

fof(f307,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f103]) ).

fof(f308,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f309,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f105]) ).

fof(f310,plain,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f311,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f312,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f108]) ).

fof(f313,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f109]) ).

fof(f314,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f315,plain,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f316,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f317,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f113]) ).

fof(f318,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f319,plain,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f115]) ).

fof(f320,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f116]) ).

fof(f321,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f117]) ).

fof(f322,plain,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f118]) ).

fof(f323,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f119]) ).

fof(f324,plain,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f325,plain,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f121]) ).

fof(f326,plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f122]) ).

fof(f327,plain,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f123]) ).

fof(f328,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f124]) ).

fof(f329,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f330,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f126]) ).

fof(f331,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f127]) ).

fof(f332,plain,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f128]) ).

fof(f333,plain,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f129]) ).

fof(f334,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f130]) ).

fof(f335,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f336,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f132]) ).

fof(f337,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f133]) ).

fof(f338,plain,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f134]) ).

fof(f339,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f340,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f341,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f137]) ).

fof(f342,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f343,plain,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f139]) ).

fof(f344,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f345,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f141]) ).

fof(f346,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f142]) ).

fof(f347,plain,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f143]) ).

fof(f348,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f144]) ).

fof(f349,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f350,plain,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f351,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f147]) ).

fof(f352,plain,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    inference(cnf_transformation,[status(thm)],[f148]) ).

fof(f353,plain,
    ( ~ pigeon_2_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f149]) ).

fof(f354,plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f150]) ).

fof(f355,plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f151]) ).

fof(f356,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f152]) ).

fof(f357,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f358,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f154]) ).

fof(f359,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f360,plain,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f156]) ).

fof(f361,plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f157]) ).

fof(f362,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f158]) ).

fof(f363,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f159]) ).

fof(f364,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f160]) ).

fof(f365,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f161]) ).

fof(f366,plain,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f162]) ).

fof(f367,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f163]) ).

fof(f368,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f164]) ).

fof(f369,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f165]) ).

fof(f370,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f166]) ).

fof(f371,plain,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f167]) ).

fof(f372,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f168]) ).

fof(f373,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f374,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f170]) ).

fof(f375,plain,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f171]) ).

fof(f376,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f172]) ).

fof(f377,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f173]) ).

fof(f378,plain,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f174]) ).

fof(f379,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f175]) ).

fof(f380,plain,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    inference(cnf_transformation,[status(thm)],[f176]) ).

fof(f381,plain,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f177]) ).

fof(f382,plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f178]) ).

fof(f383,plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f384,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f180]) ).

fof(f385,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f181]) ).

fof(f386,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f182]) ).

fof(f387,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f183]) ).

fof(f388,plain,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f389,plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f185]) ).

fof(f390,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f186]) ).

fof(f391,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f187]) ).

fof(f392,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f393,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f189]) ).

fof(f394,plain,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f190]) ).

fof(f395,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f396,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f397,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f398,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f194]) ).

fof(f399,plain,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f400,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f401,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f402,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f198]) ).

fof(f403,plain,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f199]) ).

fof(f404,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f200]) ).

fof(f405,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f406,plain,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f202]) ).

fof(f407,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f203]) ).

fof(f408,plain,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    inference(cnf_transformation,[status(thm)],[f204]) ).

fof(f409,definition,
    ( sQ0_spl
  <=> pigeon_1_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f412,definition,
    ( sQ1_spl
  <=> pigeon_1_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f415,definition,
    ( sQ2_spl
  <=> pigeon_1_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f418,definition,
    ( sQ3_spl
  <=> pigeon_1_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f421,definition,
    ( sQ4_spl
  <=> pigeon_1_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f424,definition,
    ( sQ5_spl
  <=> pigeon_1_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f427,definition,
    ( sQ6_spl
  <=> pigeon_1_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f430,plain,
    ( sQ6_spl
    | sQ5_spl
    | sQ4_spl
    | sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f205,f409,f412,f415,f418,f421,f424,f427]) ).

fof(f431,definition,
    ( sQ7_spl
  <=> pigeon_2_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f434,definition,
    ( sQ8_spl
  <=> pigeon_2_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f437,definition,
    ( sQ9_spl
  <=> pigeon_2_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f440,definition,
    ( sQ10_spl
  <=> pigeon_2_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f443,definition,
    ( sQ11_spl
  <=> pigeon_2_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f446,definition,
    ( sQ12_spl
  <=> pigeon_2_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f449,definition,
    ( sQ13_spl
  <=> pigeon_2_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f452,plain,
    ( sQ13_spl
    | sQ12_spl
    | sQ11_spl
    | sQ10_spl
    | sQ9_spl
    | sQ8_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f206,f431,f434,f437,f440,f443,f446,f449]) ).

fof(f453,definition,
    ( sQ14_spl
  <=> pigeon_3_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f456,definition,
    ( sQ15_spl
  <=> pigeon_3_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f459,definition,
    ( sQ16_spl
  <=> pigeon_3_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f462,definition,
    ( sQ17_spl
  <=> pigeon_3_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f465,definition,
    ( sQ18_spl
  <=> pigeon_3_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f468,definition,
    ( sQ19_spl
  <=> pigeon_3_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f471,definition,
    ( sQ20_spl
  <=> pigeon_3_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f474,plain,
    ( sQ20_spl
    | sQ19_spl
    | sQ18_spl
    | sQ17_spl
    | sQ16_spl
    | sQ15_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f207,f453,f456,f459,f462,f465,f468,f471]) ).

fof(f475,definition,
    ( sQ21_spl
  <=> pigeon_4_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f478,definition,
    ( sQ22_spl
  <=> pigeon_4_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f481,definition,
    ( sQ23_spl
  <=> pigeon_4_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f484,definition,
    ( sQ24_spl
  <=> pigeon_4_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f487,definition,
    ( sQ25_spl
  <=> pigeon_4_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f490,definition,
    ( sQ26_spl
  <=> pigeon_4_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f493,definition,
    ( sQ27_spl
  <=> pigeon_4_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f496,plain,
    ( sQ27_spl
    | sQ26_spl
    | sQ25_spl
    | sQ24_spl
    | sQ23_spl
    | sQ22_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f208,f475,f478,f481,f484,f487,f490,f493]) ).

fof(f497,definition,
    ( sQ28_spl
  <=> pigeon_5_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f500,definition,
    ( sQ29_spl
  <=> pigeon_5_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f503,definition,
    ( sQ30_spl
  <=> pigeon_5_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f506,definition,
    ( sQ31_spl
  <=> pigeon_5_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f509,definition,
    ( sQ32_spl
  <=> pigeon_5_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f512,definition,
    ( sQ33_spl
  <=> pigeon_5_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f515,definition,
    ( sQ34_spl
  <=> pigeon_5_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f518,plain,
    ( sQ34_spl
    | sQ33_spl
    | sQ32_spl
    | sQ31_spl
    | sQ30_spl
    | sQ29_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f209,f497,f500,f503,f506,f509,f512,f515]) ).

fof(f519,definition,
    ( sQ35_spl
  <=> pigeon_6_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f522,definition,
    ( sQ36_spl
  <=> pigeon_6_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f525,definition,
    ( sQ37_spl
  <=> pigeon_6_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f528,definition,
    ( sQ38_spl
  <=> pigeon_6_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f531,definition,
    ( sQ39_spl
  <=> pigeon_6_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f534,definition,
    ( sQ40_spl
  <=> pigeon_6_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f537,definition,
    ( sQ41_spl
  <=> pigeon_6_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f540,plain,
    ( sQ41_spl
    | sQ40_spl
    | sQ39_spl
    | sQ38_spl
    | sQ37_spl
    | sQ36_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f210,f519,f522,f525,f528,f531,f534,f537]) ).

fof(f541,definition,
    ( sQ42_spl
  <=> pigeon_7_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f544,definition,
    ( sQ43_spl
  <=> pigeon_7_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f547,definition,
    ( sQ44_spl
  <=> pigeon_7_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f550,definition,
    ( sQ45_spl
  <=> pigeon_7_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f553,definition,
    ( sQ46_spl
  <=> pigeon_7_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f556,definition,
    ( sQ47_spl
  <=> pigeon_7_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f559,definition,
    ( sQ48_spl
  <=> pigeon_7_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f562,plain,
    ( sQ48_spl
    | sQ47_spl
    | sQ46_spl
    | sQ45_spl
    | sQ44_spl
    | sQ43_spl
    | sQ42_spl ),
    inference(split_clause,[status(thm)],[f211,f541,f544,f547,f550,f553,f556,f559]) ).

fof(f563,definition,
    ( sQ49_spl
  <=> pigeon_8_in_hole_1 ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f566,definition,
    ( sQ50_spl
  <=> pigeon_8_in_hole_2 ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f569,definition,
    ( sQ51_spl
  <=> pigeon_8_in_hole_3 ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f572,definition,
    ( sQ52_spl
  <=> pigeon_8_in_hole_4 ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f575,definition,
    ( sQ53_spl
  <=> pigeon_8_in_hole_5 ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f578,definition,
    ( sQ54_spl
  <=> pigeon_8_in_hole_6 ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f581,definition,
    ( sQ55_spl
  <=> pigeon_8_in_hole_7 ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f584,plain,
    ( sQ55_spl
    | sQ54_spl
    | sQ53_spl
    | sQ52_spl
    | sQ51_spl
    | sQ50_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f212,f563,f566,f569,f572,f575,f578,f581]) ).

fof(f585,plain,
    ( ~ sQ7_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f213,f409,f431]) ).

fof(f586,plain,
    ( ~ sQ14_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f214,f409,f453]) ).

fof(f587,plain,
    ( ~ sQ21_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f215,f409,f475]) ).

fof(f588,plain,
    ( ~ sQ28_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f216,f409,f497]) ).

fof(f589,plain,
    ( ~ sQ35_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f217,f409,f519]) ).

fof(f590,plain,
    ( ~ sQ42_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f218,f409,f541]) ).

fof(f591,plain,
    ( ~ sQ49_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f219,f409,f563]) ).

fof(f592,plain,
    ( ~ sQ14_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f220,f431,f453]) ).

fof(f593,plain,
    ( ~ sQ21_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f221,f431,f475]) ).

fof(f594,plain,
    ( ~ sQ28_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f222,f431,f497]) ).

fof(f595,plain,
    ( ~ sQ35_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f223,f431,f519]) ).

fof(f596,plain,
    ( ~ sQ42_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f224,f431,f541]) ).

fof(f597,plain,
    ( ~ sQ49_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f225,f431,f563]) ).

fof(f598,plain,
    ( ~ sQ21_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f226,f453,f475]) ).

fof(f599,plain,
    ( ~ sQ28_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f227,f453,f497]) ).

fof(f600,plain,
    ( ~ sQ35_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f228,f453,f519]) ).

fof(f601,plain,
    ( ~ sQ42_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f229,f453,f541]) ).

fof(f602,plain,
    ( ~ sQ49_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f230,f453,f563]) ).

fof(f603,plain,
    ( ~ sQ28_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f231,f475,f497]) ).

fof(f604,plain,
    ( ~ sQ35_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f232,f475,f519]) ).

fof(f605,plain,
    ( ~ sQ42_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f233,f475,f541]) ).

fof(f606,plain,
    ( ~ sQ49_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f234,f475,f563]) ).

fof(f607,plain,
    ( ~ sQ35_spl
    | ~ sQ28_spl ),
    inference(split_clause,[status(thm)],[f235,f497,f519]) ).

fof(f608,plain,
    ( ~ sQ42_spl
    | ~ sQ28_spl ),
    inference(split_clause,[status(thm)],[f236,f497,f541]) ).

fof(f609,plain,
    ( ~ sQ49_spl
    | ~ sQ28_spl ),
    inference(split_clause,[status(thm)],[f237,f497,f563]) ).

fof(f610,plain,
    ( ~ sQ42_spl
    | ~ sQ35_spl ),
    inference(split_clause,[status(thm)],[f238,f519,f541]) ).

fof(f611,plain,
    ( ~ sQ49_spl
    | ~ sQ35_spl ),
    inference(split_clause,[status(thm)],[f239,f519,f563]) ).

fof(f612,plain,
    ( ~ sQ49_spl
    | ~ sQ42_spl ),
    inference(split_clause,[status(thm)],[f240,f541,f563]) ).

fof(f613,plain,
    ( ~ sQ8_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f241,f412,f434]) ).

fof(f614,plain,
    ( ~ sQ15_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f242,f412,f456]) ).

fof(f615,plain,
    ( ~ sQ22_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f243,f412,f478]) ).

fof(f616,plain,
    ( ~ sQ29_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f244,f412,f500]) ).

fof(f617,plain,
    ( ~ sQ36_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f245,f412,f522]) ).

fof(f618,plain,
    ( ~ sQ43_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f246,f412,f544]) ).

fof(f619,plain,
    ( ~ sQ50_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f247,f412,f566]) ).

fof(f620,plain,
    ( ~ sQ15_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f248,f434,f456]) ).

fof(f621,plain,
    ( ~ sQ22_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f249,f434,f478]) ).

fof(f622,plain,
    ( ~ sQ29_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f250,f434,f500]) ).

fof(f623,plain,
    ( ~ sQ36_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f251,f434,f522]) ).

fof(f624,plain,
    ( ~ sQ43_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f252,f434,f544]) ).

fof(f625,plain,
    ( ~ sQ50_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f253,f434,f566]) ).

fof(f626,plain,
    ( ~ sQ22_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f254,f456,f478]) ).

fof(f627,plain,
    ( ~ sQ29_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f255,f456,f500]) ).

fof(f628,plain,
    ( ~ sQ36_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f256,f456,f522]) ).

fof(f629,plain,
    ( ~ sQ43_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f257,f456,f544]) ).

fof(f630,plain,
    ( ~ sQ50_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f258,f456,f566]) ).

fof(f631,plain,
    ( ~ sQ29_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f259,f478,f500]) ).

fof(f632,plain,
    ( ~ sQ36_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f260,f478,f522]) ).

fof(f633,plain,
    ( ~ sQ43_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f261,f478,f544]) ).

fof(f634,plain,
    ( ~ sQ50_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f262,f478,f566]) ).

fof(f635,plain,
    ( ~ sQ36_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f263,f500,f522]) ).

fof(f636,plain,
    ( ~ sQ43_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f264,f500,f544]) ).

fof(f637,plain,
    ( ~ sQ50_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f265,f500,f566]) ).

fof(f638,plain,
    ( ~ sQ43_spl
    | ~ sQ36_spl ),
    inference(split_clause,[status(thm)],[f266,f522,f544]) ).

fof(f639,plain,
    ( ~ sQ50_spl
    | ~ sQ36_spl ),
    inference(split_clause,[status(thm)],[f267,f522,f566]) ).

fof(f640,plain,
    ( ~ sQ50_spl
    | ~ sQ43_spl ),
    inference(split_clause,[status(thm)],[f268,f544,f566]) ).

fof(f641,plain,
    ( ~ sQ9_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f269,f415,f437]) ).

fof(f642,plain,
    ( ~ sQ16_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f270,f415,f459]) ).

fof(f643,plain,
    ( ~ sQ23_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f271,f415,f481]) ).

fof(f644,plain,
    ( ~ sQ30_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f272,f415,f503]) ).

fof(f645,plain,
    ( ~ sQ37_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f273,f415,f525]) ).

fof(f646,plain,
    ( ~ sQ44_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f274,f415,f547]) ).

fof(f647,plain,
    ( ~ sQ51_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f275,f415,f569]) ).

fof(f648,plain,
    ( ~ sQ16_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f276,f437,f459]) ).

fof(f649,plain,
    ( ~ sQ23_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f277,f437,f481]) ).

fof(f650,plain,
    ( ~ sQ30_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f278,f437,f503]) ).

fof(f651,plain,
    ( ~ sQ37_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f279,f437,f525]) ).

fof(f652,plain,
    ( ~ sQ44_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f280,f437,f547]) ).

fof(f653,plain,
    ( ~ sQ51_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f281,f437,f569]) ).

fof(f654,plain,
    ( ~ sQ23_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f282,f459,f481]) ).

fof(f655,plain,
    ( ~ sQ30_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f283,f459,f503]) ).

fof(f656,plain,
    ( ~ sQ37_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f284,f459,f525]) ).

fof(f657,plain,
    ( ~ sQ44_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f285,f459,f547]) ).

fof(f658,plain,
    ( ~ sQ51_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f286,f459,f569]) ).

fof(f659,plain,
    ( ~ sQ30_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f287,f481,f503]) ).

fof(f660,plain,
    ( ~ sQ37_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f288,f481,f525]) ).

fof(f661,plain,
    ( ~ sQ44_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f289,f481,f547]) ).

fof(f662,plain,
    ( ~ sQ51_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f290,f481,f569]) ).

fof(f663,plain,
    ( ~ sQ37_spl
    | ~ sQ30_spl ),
    inference(split_clause,[status(thm)],[f291,f503,f525]) ).

fof(f664,plain,
    ( ~ sQ44_spl
    | ~ sQ30_spl ),
    inference(split_clause,[status(thm)],[f292,f503,f547]) ).

fof(f665,plain,
    ( ~ sQ51_spl
    | ~ sQ30_spl ),
    inference(split_clause,[status(thm)],[f293,f503,f569]) ).

fof(f666,plain,
    ( ~ sQ44_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f294,f525,f547]) ).

fof(f667,plain,
    ( ~ sQ51_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f295,f525,f569]) ).

fof(f668,plain,
    ( ~ sQ51_spl
    | ~ sQ44_spl ),
    inference(split_clause,[status(thm)],[f296,f547,f569]) ).

fof(f669,plain,
    ( ~ sQ10_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f297,f418,f440]) ).

fof(f670,plain,
    ( ~ sQ17_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f298,f418,f462]) ).

fof(f671,plain,
    ( ~ sQ24_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f299,f418,f484]) ).

fof(f672,plain,
    ( ~ sQ31_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f300,f418,f506]) ).

fof(f673,plain,
    ( ~ sQ38_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f301,f418,f528]) ).

fof(f674,plain,
    ( ~ sQ45_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f302,f418,f550]) ).

fof(f675,plain,
    ( ~ sQ52_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f303,f418,f572]) ).

fof(f676,plain,
    ( ~ sQ17_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f304,f440,f462]) ).

fof(f677,plain,
    ( ~ sQ24_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f305,f440,f484]) ).

fof(f678,plain,
    ( ~ sQ31_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f306,f440,f506]) ).

fof(f679,plain,
    ( ~ sQ38_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f307,f440,f528]) ).

fof(f680,plain,
    ( ~ sQ45_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f308,f440,f550]) ).

fof(f681,plain,
    ( ~ sQ52_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f309,f440,f572]) ).

fof(f682,plain,
    ( ~ sQ24_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f310,f462,f484]) ).

fof(f683,plain,
    ( ~ sQ31_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f311,f462,f506]) ).

fof(f684,plain,
    ( ~ sQ38_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f312,f462,f528]) ).

fof(f685,plain,
    ( ~ sQ45_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f313,f462,f550]) ).

fof(f686,plain,
    ( ~ sQ52_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f314,f462,f572]) ).

fof(f687,plain,
    ( ~ sQ31_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f315,f484,f506]) ).

fof(f688,plain,
    ( ~ sQ38_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f316,f484,f528]) ).

fof(f689,plain,
    ( ~ sQ45_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f317,f484,f550]) ).

fof(f690,plain,
    ( ~ sQ52_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f318,f484,f572]) ).

fof(f691,plain,
    ( ~ sQ38_spl
    | ~ sQ31_spl ),
    inference(split_clause,[status(thm)],[f319,f506,f528]) ).

fof(f692,plain,
    ( ~ sQ45_spl
    | ~ sQ31_spl ),
    inference(split_clause,[status(thm)],[f320,f506,f550]) ).

fof(f693,plain,
    ( ~ sQ52_spl
    | ~ sQ31_spl ),
    inference(split_clause,[status(thm)],[f321,f506,f572]) ).

fof(f694,plain,
    ( ~ sQ45_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f322,f528,f550]) ).

fof(f695,plain,
    ( ~ sQ52_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f323,f528,f572]) ).

fof(f696,plain,
    ( ~ sQ52_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f324,f550,f572]) ).

fof(f697,plain,
    ( ~ sQ11_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f325,f421,f443]) ).

fof(f698,plain,
    ( ~ sQ18_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f326,f421,f465]) ).

fof(f699,plain,
    ( ~ sQ25_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f327,f421,f487]) ).

fof(f700,plain,
    ( ~ sQ32_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f328,f421,f509]) ).

fof(f701,plain,
    ( ~ sQ39_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f329,f421,f531]) ).

fof(f702,plain,
    ( ~ sQ46_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f330,f421,f553]) ).

fof(f703,plain,
    ( ~ sQ53_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f331,f421,f575]) ).

fof(f704,plain,
    ( ~ sQ18_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f332,f443,f465]) ).

fof(f705,plain,
    ( ~ sQ25_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f333,f443,f487]) ).

fof(f706,plain,
    ( ~ sQ32_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f334,f443,f509]) ).

fof(f707,plain,
    ( ~ sQ39_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f335,f443,f531]) ).

fof(f708,plain,
    ( ~ sQ46_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f336,f443,f553]) ).

fof(f709,plain,
    ( ~ sQ53_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f337,f443,f575]) ).

fof(f710,plain,
    ( ~ sQ25_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f338,f465,f487]) ).

fof(f711,plain,
    ( ~ sQ32_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f339,f465,f509]) ).

fof(f712,plain,
    ( ~ sQ39_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f340,f465,f531]) ).

fof(f713,plain,
    ( ~ sQ46_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f341,f465,f553]) ).

fof(f714,plain,
    ( ~ sQ53_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f342,f465,f575]) ).

fof(f715,plain,
    ( ~ sQ32_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f343,f487,f509]) ).

fof(f716,plain,
    ( ~ sQ39_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f344,f487,f531]) ).

fof(f717,plain,
    ( ~ sQ46_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f345,f487,f553]) ).

fof(f718,plain,
    ( ~ sQ53_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f346,f487,f575]) ).

fof(f719,plain,
    ( ~ sQ39_spl
    | ~ sQ32_spl ),
    inference(split_clause,[status(thm)],[f347,f509,f531]) ).

fof(f720,plain,
    ( ~ sQ46_spl
    | ~ sQ32_spl ),
    inference(split_clause,[status(thm)],[f348,f509,f553]) ).

fof(f721,plain,
    ( ~ sQ53_spl
    | ~ sQ32_spl ),
    inference(split_clause,[status(thm)],[f349,f509,f575]) ).

fof(f722,plain,
    ( ~ sQ46_spl
    | ~ sQ39_spl ),
    inference(split_clause,[status(thm)],[f350,f531,f553]) ).

fof(f723,plain,
    ( ~ sQ53_spl
    | ~ sQ39_spl ),
    inference(split_clause,[status(thm)],[f351,f531,f575]) ).

fof(f724,plain,
    ( ~ sQ53_spl
    | ~ sQ46_spl ),
    inference(split_clause,[status(thm)],[f352,f553,f575]) ).

fof(f725,plain,
    ( ~ sQ12_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f353,f424,f446]) ).

fof(f726,plain,
    ( ~ sQ19_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f354,f424,f468]) ).

fof(f727,plain,
    ( ~ sQ26_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f355,f424,f490]) ).

fof(f728,plain,
    ( ~ sQ33_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f356,f424,f512]) ).

fof(f729,plain,
    ( ~ sQ40_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f357,f424,f534]) ).

fof(f730,plain,
    ( ~ sQ47_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f358,f424,f556]) ).

fof(f731,plain,
    ( ~ sQ54_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f359,f424,f578]) ).

fof(f732,plain,
    ( ~ sQ19_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f360,f446,f468]) ).

fof(f733,plain,
    ( ~ sQ26_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f361,f446,f490]) ).

fof(f734,plain,
    ( ~ sQ33_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f362,f446,f512]) ).

fof(f735,plain,
    ( ~ sQ40_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f363,f446,f534]) ).

fof(f736,plain,
    ( ~ sQ47_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f364,f446,f556]) ).

fof(f737,plain,
    ( ~ sQ54_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f365,f446,f578]) ).

fof(f738,plain,
    ( ~ sQ26_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f366,f468,f490]) ).

fof(f739,plain,
    ( ~ sQ33_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f367,f468,f512]) ).

fof(f740,plain,
    ( ~ sQ40_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f368,f468,f534]) ).

fof(f741,plain,
    ( ~ sQ47_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f369,f468,f556]) ).

fof(f742,plain,
    ( ~ sQ54_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f370,f468,f578]) ).

fof(f743,plain,
    ( ~ sQ33_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f371,f490,f512]) ).

fof(f744,plain,
    ( ~ sQ40_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f372,f490,f534]) ).

fof(f745,plain,
    ( ~ sQ47_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f373,f490,f556]) ).

fof(f746,plain,
    ( ~ sQ54_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f374,f490,f578]) ).

fof(f747,plain,
    ( ~ sQ40_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f375,f512,f534]) ).

fof(f748,plain,
    ( ~ sQ47_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f376,f512,f556]) ).

fof(f749,plain,
    ( ~ sQ54_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f377,f512,f578]) ).

fof(f750,plain,
    ( ~ sQ47_spl
    | ~ sQ40_spl ),
    inference(split_clause,[status(thm)],[f378,f534,f556]) ).

fof(f751,plain,
    ( ~ sQ54_spl
    | ~ sQ40_spl ),
    inference(split_clause,[status(thm)],[f379,f534,f578]) ).

fof(f752,plain,
    ( ~ sQ54_spl
    | ~ sQ47_spl ),
    inference(split_clause,[status(thm)],[f380,f556,f578]) ).

fof(f753,plain,
    ( ~ sQ13_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f381,f427,f449]) ).

fof(f754,plain,
    ( ~ sQ20_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f382,f427,f471]) ).

fof(f755,plain,
    ( ~ sQ27_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f383,f427,f493]) ).

fof(f756,plain,
    ( ~ sQ34_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f384,f427,f515]) ).

fof(f757,plain,
    ( ~ sQ41_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f385,f427,f537]) ).

fof(f758,plain,
    ( ~ sQ48_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f386,f427,f559]) ).

fof(f759,plain,
    ( ~ sQ55_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f387,f427,f581]) ).

fof(f760,plain,
    ( ~ sQ20_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f388,f449,f471]) ).

fof(f761,plain,
    ( ~ sQ27_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f389,f449,f493]) ).

fof(f762,plain,
    ( ~ sQ34_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f390,f449,f515]) ).

fof(f763,plain,
    ( ~ sQ41_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f391,f449,f537]) ).

fof(f764,plain,
    ( ~ sQ48_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f392,f449,f559]) ).

fof(f765,plain,
    ( ~ sQ55_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f393,f449,f581]) ).

fof(f766,plain,
    ( ~ sQ27_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f394,f471,f493]) ).

fof(f767,plain,
    ( ~ sQ34_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f395,f471,f515]) ).

fof(f768,plain,
    ( ~ sQ41_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f396,f471,f537]) ).

fof(f769,plain,
    ( ~ sQ48_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f397,f471,f559]) ).

fof(f770,plain,
    ( ~ sQ55_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f398,f471,f581]) ).

fof(f771,plain,
    ( ~ sQ34_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f399,f493,f515]) ).

fof(f772,plain,
    ( ~ sQ41_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f400,f493,f537]) ).

fof(f773,plain,
    ( ~ sQ48_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f401,f493,f559]) ).

fof(f774,plain,
    ( ~ sQ55_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f402,f493,f581]) ).

fof(f775,plain,
    ( ~ sQ41_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f403,f515,f537]) ).

fof(f776,plain,
    ( ~ sQ48_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f404,f515,f559]) ).

fof(f777,plain,
    ( ~ sQ55_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f405,f515,f581]) ).

fof(f778,plain,
    ( ~ sQ48_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f406,f537,f559]) ).

fof(f779,plain,
    ( ~ sQ55_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f407,f537,f581]) ).

fof(f780,plain,
    ( ~ sQ55_spl
    | ~ sQ48_spl ),
    inference(split_clause,[status(thm)],[f408,f559,f581]) ).

fof(f781,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f430,f452,f474,f496,f518,f540,f562,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f660,f661,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f740,f741,f742,f743,f744,f745,f746,f747,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MSC007-1.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Computer : n014.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 21 01:27:05 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.38  % Drodi V4.1.1
% 3.97/0.94  % Refutation found
% 3.97/0.94  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.97/0.94  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.97/0.95  % Elapsed time: 0.572513 seconds
% 3.97/0.95  % CPU time: 4.235256 seconds
% 3.97/0.95  % Total memory used: 36.523 MB
% 3.97/0.95  % Net memory used: 36.365 MB
%------------------------------------------------------------------------------