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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MSC007-1.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 08:50:55 AM UTC 2026

% Result   : Unsatisfiable 0.15s 10.69s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(pigeon_1,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('theBenchmark.p',pigeon_1) ).

cnf(pigeon_2,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('theBenchmark.p',pigeon_2) ).

cnf(pigeon_3,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('theBenchmark.p',pigeon_3) ).

cnf(pigeon_4,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('theBenchmark.p',pigeon_4) ).

cnf(pigeon_5,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('theBenchmark.p',pigeon_5) ).

cnf(pigeon_6,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('theBenchmark.p',pigeon_6) ).

cnf(pigeon_7,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('theBenchmark.p',pigeon_7) ).

cnf(pigeon_8,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('theBenchmark.p',pigeon_8) ).

cnf(hole_1_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_2) ).

cnf(hole_1_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_3) ).

cnf(hole_1_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_4) ).

cnf(hole_1_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_5) ).

cnf(hole_1_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_6) ).

cnf(hole_1_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_7) ).

cnf(hole_1_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_1_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_1_and_8) ).

cnf(hole_1_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_2_and_3) ).

cnf(hole_1_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_2_and_4) ).

cnf(hole_1_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_2_and_5) ).

cnf(hole_1_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_2_and_6) ).

cnf(hole_1_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_2_and_7) ).

cnf(hole_1_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_2_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_2_and_8) ).

cnf(hole_1_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_3_and_4) ).

cnf(hole_1_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_3_and_5) ).

cnf(hole_1_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_3_and_6) ).

cnf(hole_1_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_3_and_7) ).

cnf(hole_1_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_3_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_3_and_8) ).

cnf(hole_1_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_4_and_5) ).

cnf(hole_1_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_4_and_6) ).

cnf(hole_1_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_4_and_7) ).

cnf(hole_1_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_4_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_4_and_8) ).

cnf(hole_1_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_5_and_6) ).

cnf(hole_1_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_5_and_7) ).

cnf(hole_1_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_5_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_5_and_8) ).

cnf(hole_1_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_6_and_7) ).

cnf(hole_1_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_6_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_6_and_8) ).

cnf(hole_1_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_1
    | ~ pigeon_7_in_hole_1 ),
    file('theBenchmark.p',hole_1_pigeons_7_and_8) ).

cnf(hole_2_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_2) ).

cnf(hole_2_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_3) ).

cnf(hole_2_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_4) ).

cnf(hole_2_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_5) ).

cnf(hole_2_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_6) ).

cnf(hole_2_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_7) ).

cnf(hole_2_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_1_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_1_and_8) ).

cnf(hole_2_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_2_and_3) ).

cnf(hole_2_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_2_and_4) ).

cnf(hole_2_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_2_and_5) ).

cnf(hole_2_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_2_and_6) ).

cnf(hole_2_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_2_and_7) ).

cnf(hole_2_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_2_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_2_and_8) ).

cnf(hole_2_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_3_and_4) ).

cnf(hole_2_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_3_and_5) ).

cnf(hole_2_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_3_and_6) ).

cnf(hole_2_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_3_and_7) ).

cnf(hole_2_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_3_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_3_and_8) ).

cnf(hole_2_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_4_and_5) ).

cnf(hole_2_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_4_and_6) ).

cnf(hole_2_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_4_and_7) ).

cnf(hole_2_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_4_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_4_and_8) ).

cnf(hole_2_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_5_and_6) ).

cnf(hole_2_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_5_and_7) ).

cnf(hole_2_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_5_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_5_and_8) ).

cnf(hole_2_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_6_and_7) ).

cnf(hole_2_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_6_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_6_and_8) ).

cnf(hole_2_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_2
    | ~ pigeon_7_in_hole_2 ),
    file('theBenchmark.p',hole_2_pigeons_7_and_8) ).

cnf(hole_3_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_2) ).

cnf(hole_3_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_3) ).

cnf(hole_3_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_4) ).

cnf(hole_3_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_5) ).

cnf(hole_3_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_6) ).

cnf(hole_3_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_7) ).

cnf(hole_3_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_1_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_1_and_8) ).

cnf(hole_3_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_2_and_3) ).

cnf(hole_3_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_2_and_4) ).

cnf(hole_3_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_2_and_5) ).

cnf(hole_3_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_2_and_6) ).

cnf(hole_3_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_2_and_7) ).

cnf(hole_3_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_2_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_2_and_8) ).

cnf(hole_3_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_3_and_4) ).

cnf(hole_3_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_3_and_5) ).

cnf(hole_3_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_3_and_6) ).

cnf(hole_3_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_3_and_7) ).

cnf(hole_3_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_3_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_3_and_8) ).

cnf(hole_3_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_4_and_5) ).

cnf(hole_3_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_4_and_6) ).

cnf(hole_3_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_4_and_7) ).

cnf(hole_3_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_4_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_4_and_8) ).

cnf(hole_3_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_5_and_6) ).

cnf(hole_3_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_5_and_7) ).

cnf(hole_3_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_5_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_5_and_8) ).

cnf(hole_3_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_6_and_7) ).

cnf(hole_3_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_6_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_6_and_8) ).

cnf(hole_3_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_3
    | ~ pigeon_7_in_hole_3 ),
    file('theBenchmark.p',hole_3_pigeons_7_and_8) ).

cnf(hole_4_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_2) ).

cnf(hole_4_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_3) ).

cnf(hole_4_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_4) ).

cnf(hole_4_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_5) ).

cnf(hole_4_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_6) ).

cnf(hole_4_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_7) ).

cnf(hole_4_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_1_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_1_and_8) ).

cnf(hole_4_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_2_and_3) ).

cnf(hole_4_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_2_and_4) ).

cnf(hole_4_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_2_and_5) ).

cnf(hole_4_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_2_and_6) ).

cnf(hole_4_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_2_and_7) ).

cnf(hole_4_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_2_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_2_and_8) ).

cnf(hole_4_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_3_and_4) ).

cnf(hole_4_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_3_and_5) ).

cnf(hole_4_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_3_and_6) ).

cnf(hole_4_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_3_and_7) ).

cnf(hole_4_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_3_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_3_and_8) ).

cnf(hole_4_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_4_and_5) ).

cnf(hole_4_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_4_and_6) ).

cnf(hole_4_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_4_and_7) ).

cnf(hole_4_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_4_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_4_and_8) ).

cnf(hole_4_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_5_and_6) ).

cnf(hole_4_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_5_and_7) ).

cnf(hole_4_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_5_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_5_and_8) ).

cnf(hole_4_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_6_and_7) ).

cnf(hole_4_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_6_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_6_and_8) ).

cnf(hole_4_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_4
    | ~ pigeon_7_in_hole_4 ),
    file('theBenchmark.p',hole_4_pigeons_7_and_8) ).

cnf(hole_5_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_2) ).

cnf(hole_5_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_3) ).

cnf(hole_5_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_4) ).

cnf(hole_5_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_5) ).

cnf(hole_5_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_6) ).

cnf(hole_5_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_7) ).

cnf(hole_5_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_1_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_1_and_8) ).

cnf(hole_5_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_2_and_3) ).

cnf(hole_5_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_2_and_4) ).

cnf(hole_5_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_2_and_5) ).

cnf(hole_5_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_2_and_6) ).

cnf(hole_5_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_2_and_7) ).

cnf(hole_5_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_2_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_2_and_8) ).

cnf(hole_5_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_3_and_4) ).

cnf(hole_5_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_3_and_5) ).

cnf(hole_5_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_3_and_6) ).

cnf(hole_5_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_3_and_7) ).

cnf(hole_5_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_3_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_3_and_8) ).

cnf(hole_5_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_4_and_5) ).

cnf(hole_5_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_4_and_6) ).

cnf(hole_5_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_4_and_7) ).

cnf(hole_5_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_4_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_4_and_8) ).

cnf(hole_5_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_5_and_6) ).

cnf(hole_5_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_5_and_7) ).

cnf(hole_5_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_5_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_5_and_8) ).

cnf(hole_5_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_6_and_7) ).

cnf(hole_5_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_6_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_6_and_8) ).

cnf(hole_5_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_5
    | ~ pigeon_7_in_hole_5 ),
    file('theBenchmark.p',hole_5_pigeons_7_and_8) ).

cnf(hole_6_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_2) ).

cnf(hole_6_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_3) ).

cnf(hole_6_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_4) ).

cnf(hole_6_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_5) ).

cnf(hole_6_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_6) ).

cnf(hole_6_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_7) ).

cnf(hole_6_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_1_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_1_and_8) ).

cnf(hole_6_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_2_and_3) ).

cnf(hole_6_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_2_and_4) ).

cnf(hole_6_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_2_and_5) ).

cnf(hole_6_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_2_and_6) ).

cnf(hole_6_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_2_and_7) ).

cnf(hole_6_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_2_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_2_and_8) ).

cnf(hole_6_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_3_and_4) ).

cnf(hole_6_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_3_and_5) ).

cnf(hole_6_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_3_and_6) ).

cnf(hole_6_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_3_and_7) ).

cnf(hole_6_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_3_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_3_and_8) ).

cnf(hole_6_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_4_and_5) ).

cnf(hole_6_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_4_and_6) ).

cnf(hole_6_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_4_and_7) ).

cnf(hole_6_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_4_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_4_and_8) ).

cnf(hole_6_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_5_and_6) ).

cnf(hole_6_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_5_and_7) ).

cnf(hole_6_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_5_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_5_and_8) ).

cnf(hole_6_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_6_and_7) ).

cnf(hole_6_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_6_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_6_and_8) ).

cnf(hole_6_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_6
    | ~ pigeon_7_in_hole_6 ),
    file('theBenchmark.p',hole_6_pigeons_7_and_8) ).

cnf(hole_7_pigeons_1_and_2,negated_conjecture,
    ( ~ pigeon_2_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_2) ).

cnf(hole_7_pigeons_1_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_3) ).

cnf(hole_7_pigeons_1_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_4) ).

cnf(hole_7_pigeons_1_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_5) ).

cnf(hole_7_pigeons_1_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_6) ).

cnf(hole_7_pigeons_1_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_7) ).

cnf(hole_7_pigeons_1_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_1_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_1_and_8) ).

cnf(hole_7_pigeons_2_and_3,negated_conjecture,
    ( ~ pigeon_3_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_2_and_3) ).

cnf(hole_7_pigeons_2_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_2_and_4) ).

cnf(hole_7_pigeons_2_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_2_and_5) ).

cnf(hole_7_pigeons_2_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_2_and_6) ).

cnf(hole_7_pigeons_2_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_2_and_7) ).

cnf(hole_7_pigeons_2_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_2_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_2_and_8) ).

cnf(hole_7_pigeons_3_and_4,negated_conjecture,
    ( ~ pigeon_4_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_3_and_4) ).

cnf(hole_7_pigeons_3_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_3_and_5) ).

cnf(hole_7_pigeons_3_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_3_and_6) ).

cnf(hole_7_pigeons_3_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_3_and_7) ).

cnf(hole_7_pigeons_3_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_3_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_3_and_8) ).

cnf(hole_7_pigeons_4_and_5,negated_conjecture,
    ( ~ pigeon_5_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_4_and_5) ).

cnf(hole_7_pigeons_4_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_4_and_6) ).

cnf(hole_7_pigeons_4_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_4_and_7) ).

cnf(hole_7_pigeons_4_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_4_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_4_and_8) ).

cnf(hole_7_pigeons_5_and_6,negated_conjecture,
    ( ~ pigeon_6_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_5_and_6) ).

cnf(hole_7_pigeons_5_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_5_and_7) ).

cnf(hole_7_pigeons_5_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_5_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_5_and_8) ).

cnf(hole_7_pigeons_6_and_7,negated_conjecture,
    ( ~ pigeon_7_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_6_and_7) ).

cnf(hole_7_pigeons_6_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_6_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_6_and_8) ).

cnf(hole_7_pigeons_7_and_8,negated_conjecture,
    ( ~ pigeon_8_in_hole_7
    | ~ pigeon_7_in_hole_7 ),
    file('theBenchmark.p',hole_7_pigeons_7_and_8) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MSC007-1.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03  This is a CNF_UNS_PRP problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.38  % Computer : n026.cluster.edu
% 0.10/10.38  % Model    : x86_64 x86_64
% 0.10/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38  % Memory   : 8046.5625MB
% 0.10/10.38  % OS       : Linux 6.8.0-71-generic
% 0.10/10.38  % CPULimit : 300
% 0.10/10.38  % WCLimit  : 300
% 0.10/10.38  % DateTime : Sat Sep 19 16:25:02 UTC 2026
% 0.10/10.38  % CPUTime  : 
% 0.15/10.69  % SZS status Unsatisfiable for theBenchmark
% 0.15/10.69  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------