TSTP Solution File: MSC007-2.005 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:25:59 EDT 2023

% Result   : Unsatisfiable 3.36s 1.14s
% Output   : CNFRefutation 3.36s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    pigeon(pigeon_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1) ).

cnf(c_53,plain,
    pigeon(pigeon_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2) ).

cnf(c_54,plain,
    pigeon(pigeon_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3) ).

cnf(c_55,plain,
    pigeon(pigeon_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4) ).

cnf(c_56,plain,
    pigeon(pigeon_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_5) ).

cnf(c_57,plain,
    pigeon_1 != pigeon_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2) ).

cnf(c_58,plain,
    pigeon_1 != pigeon_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_3) ).

cnf(c_59,plain,
    pigeon_1 != pigeon_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_4) ).

cnf(c_60,plain,
    pigeon_1 != pigeon_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_5) ).

cnf(c_61,plain,
    pigeon_2 != pigeon_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3) ).

cnf(c_62,plain,
    pigeon_2 != pigeon_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_4) ).

cnf(c_63,plain,
    pigeon_2 != pigeon_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_5) ).

cnf(c_64,plain,
    pigeon_3 != pigeon_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_4) ).

cnf(c_65,plain,
    pigeon_3 != pigeon_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_5) ).

cnf(c_66,plain,
    pigeon_4 != pigeon_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4_is_not_pigeon_5) ).

cnf(c_67,plain,
    hole(hole_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_1) ).

cnf(c_77,plain,
    ( ~ hole(X0)
    | X0 = hole_1
    | X0 = hole_2
    | X0 = hole_3
    | X0 = hole_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes) ).

cnf(c_78,plain,
    ( ~ pigeon(X0)
    | hole(hole_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1) ).

cnf(c_79,plain,
    ( ~ pigeon(X0)
    | in(X0,hole_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2) ).

cnf(c_80,negated_conjecture,
    ( ~ in(X0,X1)
    | ~ in(X2,X1)
    | ~ pigeon(X0)
    | ~ pigeon(X2)
    | ~ hole(X1)
    | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole) ).

cnf(c_838,plain,
    ( ~ in(X0,hole_of(X1))
    | ~ hole(hole_of(X1))
    | ~ pigeon(X0)
    | ~ pigeon(X1)
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_79,c_80]) ).

cnf(c_858,plain,
    ( ~ pigeon(X0)
    | hole_of(X0) = hole_1
    | hole_of(X0) = hole_2
    | hole_of(X0) = hole_3
    | hole_of(X0) = hole_4 ),
    inference(superposition,[status(thm)],[c_78,c_77]) ).

cnf(c_869,plain,
    ( ~ in(X0,hole_of(X1))
    | ~ pigeon(X0)
    | ~ pigeon(X1)
    | X0 = X1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_838,c_78]) ).

cnf(c_885,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_4 ),
    inference(superposition,[status(thm)],[c_52,c_858]) ).

cnf(c_886,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_4 ),
    inference(superposition,[status(thm)],[c_53,c_858]) ).

cnf(c_887,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_4 ),
    inference(superposition,[status(thm)],[c_54,c_858]) ).

cnf(c_888,plain,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_4 ),
    inference(superposition,[status(thm)],[c_55,c_858]) ).

cnf(c_889,plain,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_4 ),
    inference(superposition,[status(thm)],[c_56,c_858]) ).

cnf(c_918,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | in(pigeon_1,hole_4) ),
    inference(superposition,[status(thm)],[c_885,c_79]) ).

cnf(c_920,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | X0 = pigeon_1 ),
    inference(superposition,[status(thm)],[c_885,c_869]) ).

cnf(c_921,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | in(pigeon_1,hole_4) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_918,c_52]) ).

cnf(c_926,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | X0 = pigeon_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_920,c_52]) ).

cnf(c_952,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_2,hole_4) ),
    inference(superposition,[status(thm)],[c_886,c_79]) ).

cnf(c_954,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_886,c_869]) ).

cnf(c_955,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_2,hole_4) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_952,c_53]) ).

cnf(c_960,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_954,c_53]) ).

cnf(c_993,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | pigeon_1 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_921,c_960]) ).

cnf(c_994,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_993,c_57,c_52]) ).

cnf(c_1014,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(superposition,[status(thm)],[c_994,c_79]) ).

cnf(c_1016,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_994,c_869]) ).

cnf(c_1018,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1014,c_53]) ).

cnf(c_1025,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1016,c_53]) ).

cnf(c_1088,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_887,c_869]) ).

cnf(c_1094,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1088,c_54]) ).

cnf(c_1114,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_921,c_1094]) ).

cnf(c_1115,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_955,c_1094]) ).

cnf(c_1116,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1115,c_61,c_53]) ).

cnf(c_1123,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1114,c_58,c_52]) ).

cnf(c_1138,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_4,hole_4) ),
    inference(superposition,[status(thm)],[c_888,c_79]) ).

cnf(c_1140,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_888,c_869]) ).

cnf(c_1141,plain,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_4,hole_4) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1138,c_55]) ).

cnf(c_1146,plain,
    ( ~ in(X0,hole_4)
    | ~ pigeon(X0)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1140,c_55]) ).

cnf(c_1176,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1141,c_1094]) ).

cnf(c_1177,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1141,c_960]) ).

cnf(c_1178,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1141,c_926]) ).

cnf(c_1180,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1178,c_59,c_55]) ).

cnf(c_1187,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1177,c_62,c_55]) ).

cnf(c_1194,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1176,c_64,c_55]) ).

cnf(c_1209,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | in(pigeon_5,hole_4) ),
    inference(superposition,[status(thm)],[c_889,c_79]) ).

cnf(c_1212,plain,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | in(pigeon_5,hole_4) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1209,c_56]) ).

cnf(c_1234,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1212,c_1094]) ).

cnf(c_1235,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1212,c_960]) ).

cnf(c_1236,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1212,c_926]) ).

cnf(c_1238,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1236,c_60,c_56]) ).

cnf(c_1245,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1235,c_63,c_56]) ).

cnf(c_1252,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1234,c_65,c_56]) ).

cnf(c_1275,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1212,c_1146]) ).

cnf(c_1276,plain,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1275,c_66,c_56]) ).

cnf(c_1313,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_3,hole_3) ),
    inference(superposition,[status(thm)],[c_1116,c_79]) ).

cnf(c_1315,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_1116,c_869]) ).

cnf(c_1317,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_3,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1313,c_54]) ).

cnf(c_1324,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1315,c_54]) ).

cnf(c_1334,plain,
    ( ~ in(pigeon_1,X0)
    | ~ in(pigeon_2,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_2)
    | pigeon_1 = pigeon_2 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1335,plain,
    ( ~ in(pigeon_1,hole_1)
    | ~ in(pigeon_2,hole_1)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_2)
    | ~ hole(hole_1)
    | pigeon_1 = pigeon_2 ),
    inference(instantiation,[status(thm)],[c_1334]) ).

cnf(c_1336,plain,
    ( ~ in(pigeon_1,X0)
    | ~ in(pigeon_3,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_3)
    | pigeon_1 = pigeon_3 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1337,plain,
    ( ~ in(pigeon_1,hole_1)
    | ~ in(pigeon_3,hole_1)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_1)
    | pigeon_1 = pigeon_3 ),
    inference(instantiation,[status(thm)],[c_1336]) ).

cnf(c_1353,plain,
    ( ~ in(pigeon_1,X0)
    | ~ in(pigeon_4,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_4)
    | pigeon_1 = pigeon_4 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1354,plain,
    ( ~ in(pigeon_1,hole_1)
    | ~ in(pigeon_4,hole_1)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_1)
    | pigeon_1 = pigeon_4 ),
    inference(instantiation,[status(thm)],[c_1353]) ).

cnf(c_1386,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_3,hole_3) ),
    inference(superposition,[status(thm)],[c_1123,c_79]) ).

cnf(c_1388,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_1123,c_869]) ).

cnf(c_1390,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_3,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1386,c_54]) ).

cnf(c_1397,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1388,c_54]) ).

cnf(c_1407,plain,
    ( ~ in(pigeon_1,X0)
    | ~ in(pigeon_5,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_5)
    | pigeon_1 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1408,plain,
    ( ~ in(pigeon_1,hole_1)
    | ~ in(pigeon_5,hole_1)
    | ~ pigeon(pigeon_1)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_1)
    | pigeon_1 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_1407]) ).

cnf(c_1425,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_1018,c_1397]) ).

cnf(c_1427,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1425,c_61,c_53]) ).

cnf(c_1450,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1180,c_869]) ).

cnf(c_1459,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1450,c_55]) ).

cnf(c_1469,plain,
    ( ~ in(pigeon_2,X0)
    | ~ in(pigeon_3,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_3)
    | pigeon_2 = pigeon_3 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1470,plain,
    ( ~ in(pigeon_2,hole_1)
    | ~ in(pigeon_3,hole_1)
    | ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_3)
    | ~ hole(hole_1)
    | pigeon_2 = pigeon_3 ),
    inference(instantiation,[status(thm)],[c_1469]) ).

cnf(c_1487,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1018,c_1459]) ).

cnf(c_1489,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1487,c_62,c_53]) ).

cnf(c_1497,plain,
    ( ~ in(pigeon_2,X0)
    | ~ in(pigeon_4,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_4)
    | pigeon_2 = pigeon_4 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1498,plain,
    ( ~ in(pigeon_2,hole_1)
    | ~ in(pigeon_4,hole_1)
    | ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_1)
    | pigeon_2 = pigeon_4 ),
    inference(instantiation,[status(thm)],[c_1497]) ).

cnf(c_1514,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1187,c_869]) ).

cnf(c_1523,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1514,c_55]) ).

cnf(c_1533,plain,
    ( ~ in(pigeon_2,X0)
    | ~ in(pigeon_5,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_5)
    | pigeon_2 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1534,plain,
    ( ~ in(pigeon_2,hole_1)
    | ~ in(pigeon_5,hole_1)
    | ~ pigeon(pigeon_2)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_1)
    | pigeon_2 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_1533]) ).

cnf(c_1552,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1317,c_1523]) ).

cnf(c_1553,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1552,c_64,c_54]) ).

cnf(c_1561,plain,
    ( ~ in(pigeon_3,X0)
    | ~ in(pigeon_4,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_4)
    | pigeon_3 = pigeon_4 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1562,plain,
    ( ~ in(pigeon_3,hole_1)
    | ~ in(pigeon_4,hole_1)
    | ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_4)
    | ~ hole(hole_1)
    | pigeon_3 = pigeon_4 ),
    inference(instantiation,[status(thm)],[c_1561]) ).

cnf(c_1576,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_4,hole_3) ),
    inference(superposition,[status(thm)],[c_1194,c_79]) ).

cnf(c_1578,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1194,c_869]) ).

cnf(c_1580,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_4,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1576,c_55]) ).

cnf(c_1587,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1578,c_55]) ).

cnf(c_1597,plain,
    ( ~ in(pigeon_3,X0)
    | ~ in(pigeon_5,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_5)
    | pigeon_3 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1598,plain,
    ( ~ in(pigeon_3,hole_1)
    | ~ in(pigeon_5,hole_1)
    | ~ pigeon(pigeon_3)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_1)
    | pigeon_3 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_1597]) ).

cnf(c_1599,plain,
    ( ~ in(pigeon_4,X0)
    | ~ in(pigeon_5,X0)
    | ~ hole(X0)
    | ~ pigeon(pigeon_4)
    | ~ pigeon(pigeon_5)
    | pigeon_4 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1600,plain,
    ( ~ in(pigeon_4,hole_1)
    | ~ in(pigeon_5,hole_1)
    | ~ pigeon(pigeon_4)
    | ~ pigeon(pigeon_5)
    | ~ hole(hole_1)
    | pigeon_4 = pigeon_5 ),
    inference(instantiation,[status(thm)],[c_1599]) ).

cnf(c_1614,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(superposition,[status(thm)],[c_1238,c_79]) ).

cnf(c_1618,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1614,c_56]) ).

cnf(c_1651,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1390,c_1459]) ).

cnf(c_1655,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1651,c_64,c_54]) ).

cnf(c_1737,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1618,c_1459]) ).

cnf(c_1738,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1618,c_1397]) ).

cnf(c_1740,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1618,c_1025]) ).

cnf(c_1741,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1740,c_63,c_56]) ).

cnf(c_1749,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1738,c_65,c_56]) ).

cnf(c_1757,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1737,c_66,c_56]) ).

cnf(c_1781,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(superposition,[status(thm)],[c_1245,c_79]) ).

cnf(c_1783,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1245,c_869]) ).

cnf(c_1785,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1781,c_56]) ).

cnf(c_1792,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1783,c_56]) ).

cnf(c_1819,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1785,c_1523]) ).

cnf(c_1822,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1785,c_1324]) ).

cnf(c_1824,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1822,c_65,c_56]) ).

cnf(c_1832,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1819,c_66,c_56]) ).

cnf(c_1856,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(superposition,[status(thm)],[c_1252,c_79]) ).

cnf(c_1858,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1252,c_869]) ).

cnf(c_1860,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1856,c_56]) ).

cnf(c_1867,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1858,c_56]) ).

cnf(c_1973,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1580,c_1867]) ).

cnf(c_1978,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1973,c_66,c_55]) ).

cnf(c_1999,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(superposition,[status(thm)],[c_1276,c_79]) ).

cnf(c_2001,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1276,c_869]) ).

cnf(c_2003,plain,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | in(pigeon_5,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1999,c_56]) ).

cnf(c_2010,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2001,c_56]) ).

cnf(c_2061,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_1427,c_79]) ).

cnf(c_2063,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_1427,c_869]) ).

cnf(c_2067,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2061,c_54]) ).

cnf(c_2075,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2063,c_54]) ).

cnf(c_2122,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_1489,c_79]) ).

cnf(c_2129,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2122,c_55]) ).

cnf(c_2233,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_2129,c_2075]) ).

cnf(c_2234,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2233,c_64,c_55]) ).

cnf(c_2261,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_1553,c_79]) ).

cnf(c_2263,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1553,c_869]) ).

cnf(c_2268,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2261,c_55]) ).

cnf(c_2276,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2263,c_55]) ).

cnf(c_2322,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_1655,c_79]) ).

cnf(c_2324,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1655,c_869]) ).

cnf(c_2329,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2322,c_55]) ).

cnf(c_2337,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2324,c_55]) ).

cnf(c_2452,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1741,c_869]) ).

cnf(c_2466,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2452,c_56]) ).

cnf(c_2505,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2067,c_2466]) ).

cnf(c_2508,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2129,c_2466]) ).

cnf(c_2509,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2508,c_66,c_55]) ).

cnf(c_2517,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2505,c_65,c_54]) ).

cnf(c_2546,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1749,c_869]) ).

cnf(c_2560,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2546,c_56]) ).

cnf(c_2590,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2329,c_2560]) ).

cnf(c_2593,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2590,c_66,c_55]) ).

cnf(c_2622,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1757,c_869]) ).

cnf(c_2636,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2622,c_56]) ).

cnf(c_2666,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(superposition,[status(thm)],[c_1824,c_79]) ).

cnf(c_2674,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2666,c_56]) ).

cnf(c_2809,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2674,c_2276]) ).

cnf(c_2812,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2809,c_66,c_56]) ).

cnf(c_2840,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(superposition,[status(thm)],[c_1832,c_79]) ).

cnf(c_2842,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1832,c_869]) ).

cnf(c_2848,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2840,c_56]) ).

cnf(c_2856,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2842,c_56]) ).

cnf(c_2908,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(superposition,[status(thm)],[c_1978,c_79]) ).

cnf(c_2916,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2908,c_56]) ).

cnf(c_3090,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_2234,c_79]) ).

cnf(c_3100,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3090,c_55]) ).

cnf(c_3164,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2509,c_869]) ).

cnf(c_3184,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3164,c_56]) ).

cnf(c_3238,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_2517,c_79]) ).

cnf(c_3252,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3238,c_56]) ).

cnf(c_3271,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_3100,c_67,c_56,c_55,c_66,c_1600,c_3100,c_3252]) ).

cnf(c_3272,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(renaming,[status(thm)],[c_3271]) ).

cnf(c_3288,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_3272,c_79]) ).

cnf(c_3294,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3288,c_54]) ).

cnf(c_3324,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_3294,c_3184]) ).

cnf(c_3325,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3324,c_65,c_54]) ).

cnf(c_3351,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_3325,c_79]) ).

cnf(c_3360,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3351,c_55]) ).

cnf(c_3377,plain,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_3360,c_67,c_55,c_54,c_64,c_1562,c_3294,c_3360]) ).

cnf(c_3378,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(renaming,[status(thm)],[c_3377]) ).

cnf(c_3390,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(superposition,[status(thm)],[c_3378,c_79]) ).

cnf(c_3392,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_3378,c_869]) ).

cnf(c_3394,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3390,c_53]) ).

cnf(c_3400,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3392,c_53]) ).

cnf(c_3423,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_3394,c_2636]) ).

cnf(c_3424,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_3394,c_2560]) ).

cnf(c_3425,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_3394,c_2337]) ).

cnf(c_3428,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3425,c_62,c_53]) ).

cnf(c_3436,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3424,c_63,c_53]) ).

cnf(c_3444,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3423,c_63,c_53]) ).

cnf(c_3517,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2593,c_869]) ).

cnf(c_3536,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3517,c_56]) ).

cnf(c_3589,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_2812,c_79]) ).

cnf(c_3602,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3589,c_56]) ).

cnf(c_3659,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_3428,c_79]) ).

cnf(c_3668,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3659,c_55]) ).

cnf(c_3721,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_3436,c_79]) ).

cnf(c_3734,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3721,c_56]) ).

cnf(c_3799,plain,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_3668,c_67,c_56,c_55,c_66,c_1600,c_3668,c_3734]) ).

cnf(c_3800,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(renaming,[status(thm)],[c_3799]) ).

cnf(c_3816,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_3800,c_79]) ).

cnf(c_3822,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3816,c_54]) ).

cnf(c_3852,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_3822,c_3400]) ).

cnf(c_3860,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3852,c_61,c_54]) ).

cnf(c_3879,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_3860,c_79]) ).

cnf(c_3885,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3879,c_54]) ).

cnf(c_3961,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_3444,c_79]) ).

cnf(c_3963,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_3444,c_869]) ).

cnf(c_3974,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3961,c_56]) ).

cnf(c_3982,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3963,c_56]) ).

cnf(c_4003,plain,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_3982,c_67,c_56,c_54,c_65,c_1598,c_3885,c_3974]) ).

cnf(c_4004,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(renaming,[status(thm)],[c_4003]) ).

cnf(c_4023,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4004,c_869]) ).

cnf(c_4035,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4023,c_55]) ).

cnf(c_4068,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_3394,c_4035]) ).

cnf(c_4069,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4068,c_62,c_53]) ).

cnf(c_4096,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_4069,c_79]) ).

cnf(c_4098,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4069,c_869]) ).

cnf(c_4105,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4096,c_55]) ).

cnf(c_4111,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4098,c_55]) ).

cnf(c_4120,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_4111,c_67,c_55,c_54,c_64,c_1562,c_3885,c_4105]) ).

cnf(c_4121,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(renaming,[status(thm)],[c_4120]) ).

cnf(c_4131,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | in(pigeon_2,hole_1) ),
    inference(superposition,[status(thm)],[c_4121,c_79]) ).

cnf(c_4135,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | in(pigeon_2,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4131,c_53]) ).

cnf(c_4158,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4135,c_3536]) ).

cnf(c_4160,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4158,c_63,c_53]) ).

cnf(c_4198,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_4160,c_79]) ).

cnf(c_4206,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4198,c_55]) ).

cnf(c_4223,plain,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_4206,c_67,c_55,c_53,c_62,c_1498,c_4135,c_4206]) ).

cnf(c_4224,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(renaming,[status(thm)],[c_4223]) ).

cnf(c_4237,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_4224,c_79]) ).

cnf(c_4242,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4237,c_54]) ).

cnf(c_4271,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4242,c_2636]) ).

cnf(c_4274,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4271,c_65,c_54]) ).

cnf(c_4327,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_4274,c_79]) ).

cnf(c_4329,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4274,c_869]) ).

cnf(c_4339,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4327,c_56]) ).

cnf(c_4347,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4329,c_56]) ).

cnf(c_4368,plain,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_4347,c_67,c_56,c_53,c_63,c_1534,c_4135,c_4339]) ).

cnf(c_4369,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(renaming,[status(thm)],[c_4368]) ).

cnf(c_4388,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4369,c_869]) ).

cnf(c_4400,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4388,c_55]) ).

cnf(c_4426,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4242,c_4400]) ).

cnf(c_4432,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4426,c_64,c_54]) ).

cnf(c_4458,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_4432,c_79]) ).

cnf(c_4460,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4432,c_869]) ).

cnf(c_4466,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4458,c_55]) ).

cnf(c_4472,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4460,c_55]) ).

cnf(c_4481,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_4472,c_67,c_55,c_53,c_62,c_1498,c_4135,c_4466]) ).

cnf(c_4482,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(renaming,[status(thm)],[c_4481]) ).

cnf(c_4493,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_4482,c_79]) ).

cnf(c_4495,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_4482,c_869]) ).

cnf(c_4498,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4493,c_54]) ).

cnf(c_4503,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4495,c_54]) ).

cnf(c_4511,plain,
    ( hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_4503,c_67,c_54,c_53,c_61,c_1470,c_4135,c_4498]) ).

cnf(c_4512,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_3 ),
    inference(renaming,[status(thm)],[c_4511]) ).

cnf(c_4519,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | in(pigeon_1,hole_3) ),
    inference(superposition,[status(thm)],[c_4512,c_79]) ).

cnf(c_4521,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | X0 = pigeon_1 ),
    inference(superposition,[status(thm)],[c_4512,c_869]) ).

cnf(c_4522,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | in(pigeon_1,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4519,c_52]) ).

cnf(c_4526,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | X0 = pigeon_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4521,c_52]) ).

cnf(c_4540,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4522,c_2010]) ).

cnf(c_4541,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4522,c_1867]) ).

cnf(c_4542,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4522,c_1792]) ).

cnf(c_4543,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4522,c_1587]) ).

cnf(c_4544,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4522,c_1523]) ).

cnf(c_4545,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_4522,c_1324]) ).

cnf(c_4547,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4545,c_58,c_52]) ).

cnf(c_4555,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4544,c_59,c_52]) ).

cnf(c_4563,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4543,c_59,c_52]) ).

cnf(c_4571,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4542,c_60,c_52]) ).

cnf(c_4579,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4541,c_60,c_52]) ).

cnf(c_4587,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4540,c_60,c_52]) ).

cnf(c_4628,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_4547,c_79]) ).

cnf(c_4633,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4628,c_54]) ).

cnf(c_4722,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_4555,c_79]) ).

cnf(c_4724,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4555,c_869]) ).

cnf(c_4728,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4722,c_55]) ).

cnf(c_4736,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4724,c_55]) ).

cnf(c_4765,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4633,c_4736]) ).

cnf(c_4770,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4765,c_64,c_54]) ).

cnf(c_4797,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4563,c_869]) ).

cnf(c_4809,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4797,c_55]) ).

cnf(c_4864,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4571,c_869]) ).

cnf(c_4878,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4864,c_56]) ).

cnf(c_4907,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4633,c_4878]) ).

cnf(c_4912,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4907,c_65,c_54]) ).

cnf(c_4939,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(superposition,[status(thm)],[c_4579,c_79]) ).

cnf(c_4941,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4579,c_869]) ).

cnf(c_4947,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4939,c_56]) ).

cnf(c_4955,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4941,c_56]) ).

cnf(c_4981,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4728,c_4878]) ).

cnf(c_4989,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4981,c_66,c_55]) ).

cnf(c_5062,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4947,c_4809]) ).

cnf(c_5069,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5062,c_66,c_56]) ).

cnf(c_5097,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(superposition,[status(thm)],[c_4587,c_79]) ).

cnf(c_5099,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4587,c_869]) ).

cnf(c_5105,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5097,c_56]) ).

cnf(c_5113,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5099,c_56]) ).

cnf(c_5168,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_4770,c_79]) ).

cnf(c_5177,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5168,c_55]) ).

cnf(c_5313,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_4912,c_79]) ).

cnf(c_5315,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_4912,c_869]) ).

cnf(c_5326,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5313,c_56]) ).

cnf(c_5334,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5315,c_56]) ).

cnf(c_5345,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_5334,c_67,c_56,c_55,c_66,c_1600,c_5177,c_5326]) ).

cnf(c_5346,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(renaming,[status(thm)],[c_5345]) ).

cnf(c_5361,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_5346,c_79]) ).

cnf(c_5366,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5361,c_54]) ).

cnf(c_5440,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_4989,c_79]) ).

cnf(c_5453,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5440,c_56]) ).

cnf(c_5472,plain,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_5453,c_67,c_56,c_54,c_65,c_1598,c_5366,c_5453]) ).

cnf(c_5473,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(renaming,[status(thm)],[c_5472]) ).

cnf(c_5491,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_5473,c_79]) ).

cnf(c_5499,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5491,c_55]) ).

cnf(c_5516,plain,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_5499,c_67,c_55,c_54,c_64,c_1562,c_5366,c_5499]) ).

cnf(c_5517,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(renaming,[status(thm)],[c_5516]) ).

cnf(c_5529,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(superposition,[status(thm)],[c_5517,c_79]) ).

cnf(c_5533,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5529,c_53]) ).

cnf(c_5559,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | pigeon_1 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_5533,c_4526]) ).

cnf(c_5566,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5559,c_57,c_53]) ).

cnf(c_5580,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(superposition,[status(thm)],[c_5566,c_79]) ).

cnf(c_5582,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_5566,c_869]) ).

cnf(c_5584,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5580,c_53]) ).

cnf(c_5589,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5582,c_53]) ).

cnf(c_5606,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_5584,c_5113]) ).

cnf(c_5607,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_5584,c_4955]) ).

cnf(c_5608,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_5584,c_4809]) ).

cnf(c_5614,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5608,c_62,c_53]) ).

cnf(c_5622,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5607,c_63,c_53]) ).

cnf(c_5630,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5606,c_63,c_53]) ).

cnf(c_5689,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_5069,c_869]) ).

cnf(c_5707,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5689,c_56]) ).

cnf(c_5756,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_5614,c_79]) ).

cnf(c_5764,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5756,c_55]) ).

cnf(c_5825,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_5622,c_79]) ).

cnf(c_5827,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_5622,c_869]) ).

cnf(c_5837,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5825,c_56]) ).

cnf(c_5845,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5827,c_56]) ).

cnf(c_5856,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_5845,c_67,c_56,c_55,c_66,c_1600,c_5764,c_5837]) ).

cnf(c_5857,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(renaming,[status(thm)],[c_5856]) ).

cnf(c_5871,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_3,hole_3) ),
    inference(superposition,[status(thm)],[c_5857,c_79]) ).

cnf(c_5875,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_3,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5871,c_54]) ).

cnf(c_5905,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_5875,c_4526]) ).

cnf(c_5912,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5905,c_58,c_54]) ).

cnf(c_5948,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_5912,c_79]) ).

cnf(c_5953,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5948,c_54]) ).

cnf(c_5979,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_5953,c_5589]) ).

cnf(c_5987,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5979,c_61,c_54]) ).

cnf(c_6002,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_5987,c_79]) ).

cnf(c_6007,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6002,c_54]) ).

cnf(c_6074,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_5630,c_79]) ).

cnf(c_6076,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_5630,c_869]) ).

cnf(c_6086,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6074,c_56]) ).

cnf(c_6094,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6076,c_56]) ).

cnf(c_6105,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_6094,c_67,c_56,c_54,c_65,c_1598,c_6007,c_6086]) ).

cnf(c_6106,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(renaming,[status(thm)],[c_6105]) ).

cnf(c_6124,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6106,c_869]) ).

cnf(c_6135,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6124,c_55]) ).

cnf(c_6167,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4522,c_6135]) ).

cnf(c_6168,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6167,c_59,c_52]) ).

cnf(c_6194,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6168,c_869]) ).

cnf(c_6204,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6194,c_55]) ).

cnf(c_6234,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_5584,c_6204]) ).

cnf(c_6235,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6234,c_62,c_53]) ).

cnf(c_6257,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_6235,c_79]) ).

cnf(c_6265,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6257,c_55]) ).

cnf(c_6278,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_6265,c_67,c_55,c_54,c_64,c_1562,c_6007,c_6265]) ).

cnf(c_6279,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(renaming,[status(thm)],[c_6278]) ).

cnf(c_6287,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | in(pigeon_2,hole_1) ),
    inference(superposition,[status(thm)],[c_6279,c_79]) ).

cnf(c_6291,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | in(pigeon_2,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6287,c_53]) ).

cnf(c_6309,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6291,c_5707]) ).

cnf(c_6312,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6309,c_63,c_53]) ).

cnf(c_6349,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_6312,c_79]) ).

cnf(c_6351,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6312,c_869]) ).

cnf(c_6356,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6349,c_55]) ).

cnf(c_6363,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6351,c_55]) ).

cnf(c_6373,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_6363,c_67,c_55,c_53,c_62,c_1498,c_6291,c_6356]) ).

cnf(c_6374,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(renaming,[status(thm)],[c_6373]) ).

cnf(c_6388,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_6374,c_869]) ).

cnf(c_6396,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6388,c_54]) ).

cnf(c_6425,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_4522,c_6396]) ).

cnf(c_6426,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6425,c_58,c_52]) ).

cnf(c_6447,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_6426,c_869]) ).

cnf(c_6455,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6447,c_54]) ).

cnf(c_6476,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_5105,c_6455]) ).

cnf(c_6480,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6476,c_65,c_56]) ).

cnf(c_6510,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_6480,c_79]) ).

cnf(c_6512,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6480,c_869]) ).

cnf(c_6521,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6510,c_56]) ).

cnf(c_6529,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6512,c_56]) ).

cnf(c_6540,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_6529,c_67,c_56,c_53,c_63,c_1534,c_6291,c_6521]) ).

cnf(c_6541,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(renaming,[status(thm)],[c_6540]) ).

cnf(c_6558,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6541,c_869]) ).

cnf(c_6568,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6558,c_55]) ).

cnf(c_6600,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_4522,c_6568]) ).

cnf(c_6601,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6600,c_59,c_52]) ).

cnf(c_6641,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_6601,c_79]) ).

cnf(c_6647,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6641,c_55]) ).

cnf(c_6673,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6647,c_6455]) ).

cnf(c_6679,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6673,c_64,c_55]) ).

cnf(c_6696,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_6679,c_79]) ).

cnf(c_6703,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6696,c_55]) ).

cnf(c_6716,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_6703,c_67,c_55,c_53,c_62,c_1498,c_6291,c_6703]) ).

cnf(c_6717,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(renaming,[status(thm)],[c_6716]) ).

cnf(c_6726,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_6717,c_79]) ).

cnf(c_6728,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_6717,c_869]) ).

cnf(c_6731,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6726,c_54]) ).

cnf(c_6735,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6728,c_54]) ).

cnf(c_6742,plain,
    ( hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_6735,c_67,c_54,c_53,c_61,c_1470,c_6291,c_6731]) ).

cnf(c_6743,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2 ),
    inference(renaming,[status(thm)],[c_6742]) ).

cnf(c_6748,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(superposition,[status(thm)],[c_6743,c_79]) ).

cnf(c_6750,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | X0 = pigeon_1 ),
    inference(superposition,[status(thm)],[c_6743,c_869]) ).

cnf(c_6751,plain,
    ( hole_of(pigeon_1) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6748,c_52]) ).

cnf(c_6754,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | X0 = pigeon_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6750,c_52]) ).

cnf(c_6768,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_2268,c_6754]) ).

cnf(c_6769,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2916,c_6754]) ).

cnf(c_6770,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2848,c_6754]) ).

cnf(c_6771,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2674,c_6754]) ).

cnf(c_6772,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6771,c_60,c_56]) ).

cnf(c_6780,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6770,c_60,c_56]) ).

cnf(c_6788,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6769,c_60,c_56]) ).

cnf(c_6796,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6768,c_59,c_55]) ).

cnf(c_6840,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_6772,c_79]) ).

cnf(c_6850,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6840,c_56]) ).

cnf(c_6909,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_6780,c_79]) ).

cnf(c_6919,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6909,c_56]) ).

cnf(c_6961,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6788,c_869]) ).

cnf(c_6977,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6961,c_56]) ).

cnf(c_7060,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_6796,c_79]) ).

cnf(c_7067,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7060,c_55]) ).

cnf(c_7086,plain,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_7067,c_67,c_56,c_55,c_66,c_1600,c_6850,c_7067]) ).

cnf(c_7087,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(renaming,[status(thm)],[c_7086]) ).

cnf(c_7102,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_7087,c_79]) ).

cnf(c_7107,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7102,c_54]) ).

cnf(c_7137,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_7107,c_6754]) ).

cnf(c_7142,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7137,c_58,c_54]) ).

cnf(c_7160,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_7142,c_79]) ).

cnf(c_7162,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_7142,c_869]) ).

cnf(c_7165,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7160,c_54]) ).

cnf(c_7171,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7162,c_54]) ).

cnf(c_7195,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6919,c_7171]) ).

cnf(c_7197,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7195,c_65,c_56]) ).

cnf(c_7247,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_7197,c_869]) ).

cnf(c_7258,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7247,c_55]) ).

cnf(c_7288,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6751,c_7258]) ).

cnf(c_7289,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7288,c_59,c_52]) ).

cnf(c_7314,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_7289,c_79]) ).

cnf(c_7316,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_7289,c_869]) ).

cnf(c_7321,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7314,c_55]) ).

cnf(c_7327,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7316,c_55]) ).

cnf(c_7336,plain,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_7327,c_67,c_55,c_54,c_64,c_1562,c_7165,c_7321]) ).

cnf(c_7337,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(renaming,[status(thm)],[c_7336]) ).

cnf(c_7347,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(superposition,[status(thm)],[c_7337,c_79]) ).

cnf(c_7351,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7347,c_53]) ).

cnf(c_7373,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_7351,c_2010]) ).

cnf(c_7374,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_7351,c_1867]) ).

cnf(c_7376,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_7351,c_1587]) ).

cnf(c_7380,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7376,c_62,c_53]) ).

cnf(c_7389,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7374,c_63,c_53]) ).

cnf(c_7398,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7373,c_63,c_53]) ).

cnf(c_7445,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_7380,c_79]) ).

cnf(c_7451,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7445,c_55]) ).

cnf(c_7489,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_7451,c_6754]) ).

cnf(c_7494,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7489,c_59,c_55]) ).

cnf(c_7520,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_7494,c_79]) ).

cnf(c_7527,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7520,c_55]) ).

cnf(c_7598,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_7389,c_869]) ).

cnf(c_7614,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7598,c_56]) ).

cnf(c_7684,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6751,c_7614]) ).

cnf(c_7685,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7684,c_60,c_52]) ).

cnf(c_7721,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_7685,c_79]) ).

cnf(c_7723,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_7685,c_869]) ).

cnf(c_7731,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7721,c_56]) ).

cnf(c_7739,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7723,c_56]) ).

cnf(c_7750,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_7739,c_67,c_56,c_55,c_66,c_1600,c_7527,c_7731]) ).

cnf(c_7751,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(renaming,[status(thm)],[c_7750]) ).

cnf(c_7767,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_7751,c_869]) ).

cnf(c_7776,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7767,c_54]) ).

cnf(c_7802,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_7351,c_7776]) ).

cnf(c_7809,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7802,c_61,c_53]) ).

cnf(c_7832,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_7809,c_79]) ).

cnf(c_7837,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7832,c_54]) ).

cnf(c_7876,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_7398,c_869]) ).

cnf(c_7892,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7876,c_56]) ).

cnf(c_7915,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_7837,c_6754]) ).

cnf(c_7920,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7915,c_58,c_54]) ).

cnf(c_7935,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_7920,c_79]) ).

cnf(c_7940,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7935,c_54]) ).

cnf(c_8006,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6751,c_7892]) ).

cnf(c_8007,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8006,c_60,c_52]) ).

cnf(c_8043,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_8007,c_79]) ).

cnf(c_8045,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_8007,c_869]) ).

cnf(c_8053,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8043,c_56]) ).

cnf(c_8061,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8045,c_56]) ).

cnf(c_8072,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_8061,c_67,c_56,c_54,c_65,c_1598,c_7940,c_8053]) ).

cnf(c_8073,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(renaming,[status(thm)],[c_8072]) ).

cnf(c_8090,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8073,c_869]) ).

cnf(c_8100,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8090,c_55]) ).

cnf(c_8137,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_7351,c_8100]) ).

cnf(c_8144,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8137,c_62,c_53]) ).

cnf(c_8170,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8144,c_869]) ).

cnf(c_8180,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8170,c_55]) ).

cnf(c_8207,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6751,c_8180]) ).

cnf(c_8208,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8207,c_59,c_52]) ).

cnf(c_8229,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_8208,c_79]) ).

cnf(c_8231,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8208,c_869]) ).

cnf(c_8236,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8229,c_55]) ).

cnf(c_8241,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8231,c_55]) ).

cnf(c_8249,plain,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_8241,c_67,c_55,c_54,c_64,c_1562,c_7940,c_8236]) ).

cnf(c_8250,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(renaming,[status(thm)],[c_8249]) ).

cnf(c_8260,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_8250,c_869]) ).

cnf(c_8266,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8260,c_53]) ).

cnf(c_8287,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | pigeon_1 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_6751,c_8266]) ).

cnf(c_8288,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8287,c_57,c_52]) ).

cnf(c_8298,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | in(pigeon_2,hole_1) ),
    inference(superposition,[status(thm)],[c_8288,c_79]) ).

cnf(c_8302,plain,
    ( hole_of(pigeon_1) = hole_1
    | in(pigeon_2,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8298,c_53]) ).

cnf(c_8316,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_8302,c_6977]) ).

cnf(c_8319,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8316,c_63,c_53]) ).

cnf(c_8353,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8319,c_869]) ).

cnf(c_8364,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8353,c_55]) ).

cnf(c_8394,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_6751,c_8364]) ).

cnf(c_8395,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8394,c_59,c_52]) ).

cnf(c_8420,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_8395,c_79]) ).

cnf(c_8422,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8395,c_869]) ).

cnf(c_8427,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8420,c_55]) ).

cnf(c_8433,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8422,c_55]) ).

cnf(c_8442,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_8433,c_67,c_55,c_53,c_62,c_1498,c_8302,c_8427]) ).

cnf(c_8443,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(renaming,[status(thm)],[c_8442]) ).

cnf(c_8455,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_8443,c_869]) ).

cnf(c_8462,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8455,c_54]) ).

cnf(c_8485,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2003,c_8462]) ).

cnf(c_8488,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8485,c_65,c_56]) ).

cnf(c_8537,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_8488,c_869]) ).

cnf(c_8552,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8537,c_56]) ).

cnf(c_8588,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_6751,c_8552]) ).

cnf(c_8589,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8588,c_60,c_52]) ).

cnf(c_8625,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_8589,c_79]) ).

cnf(c_8627,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_8589,c_869]) ).

cnf(c_8635,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8625,c_56]) ).

cnf(c_8643,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8627,c_56]) ).

cnf(c_8654,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_8643,c_67,c_56,c_53,c_63,c_1534,c_8302,c_8635]) ).

cnf(c_8655,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(renaming,[status(thm)],[c_8654]) ).

cnf(c_8670,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_4,hole_3) ),
    inference(superposition,[status(thm)],[c_8655,c_79]) ).

cnf(c_8675,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_4,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8670,c_55]) ).

cnf(c_8705,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8675,c_8462]) ).

cnf(c_8712,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8705,c_64,c_55]) ).

cnf(c_8731,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_8712,c_79]) ).

cnf(c_8737,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8731,c_55]) ).

cnf(c_8763,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8737,c_6754]) ).

cnf(c_8768,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8763,c_59,c_55]) ).

cnf(c_8785,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_8768,c_79]) ).

cnf(c_8792,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8785,c_55]) ).

cnf(c_8840,plain,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_8792,c_67,c_55,c_53,c_62,c_1498,c_8302,c_8792]) ).

cnf(c_8841,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(renaming,[status(thm)],[c_8840]) ).

cnf(c_8852,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_8841,c_869]) ).

cnf(c_8859,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8852,c_54]) ).

cnf(c_8880,plain,
    ( ~ pigeon(pigeon_1)
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | pigeon_1 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_6751,c_8859]) ).

cnf(c_8881,plain,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8880,c_58,c_52]) ).

cnf(c_8898,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_8881,c_79]) ).

cnf(c_8900,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_1) = hole_1
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_8881,c_869]) ).

cnf(c_8903,plain,
    ( hole_of(pigeon_1) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8898,c_54]) ).

cnf(c_8906,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_1) = hole_1
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8900,c_54]) ).

cnf(c_8912,plain,
    hole_of(pigeon_1) = hole_1,
    inference(global_subsumption_just,[status(thm)],[c_8906,c_67,c_54,c_53,c_61,c_1470,c_8302,c_8903]) ).

cnf(c_8916,plain,
    ( ~ pigeon(pigeon_1)
    | in(pigeon_1,hole_1) ),
    inference(superposition,[status(thm)],[c_8912,c_79]) ).

cnf(c_8918,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_1)
    | X0 = pigeon_1 ),
    inference(superposition,[status(thm)],[c_8912,c_869]) ).

cnf(c_8919,plain,
    in(pigeon_1,hole_1),
    inference(forward_subsumption_resolution,[status(thm)],[c_8916,c_52]) ).

cnf(c_8920,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | X0 = pigeon_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8918,c_52]) ).

cnf(c_8931,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_1 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_3602,c_8920]) ).

cnf(c_8932,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8931,c_60,c_56]) ).

cnf(c_8958,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_8932,c_79]) ).

cnf(c_8964,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8958,c_55]) ).

cnf(c_8981,plain,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_8964,c_67,c_55,c_52,c_59,c_1354,c_8919,c_8964]) ).

cnf(c_8982,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(renaming,[status(thm)],[c_8981]) ).

cnf(c_8994,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_8982,c_79]) ).

cnf(c_8998,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8994,c_54]) ).

cnf(c_9025,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_8998,c_2856]) ).

cnf(c_9027,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9025,c_65,c_54]) ).

cnf(c_9072,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_9027,c_79]) ).

cnf(c_9081,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9072,c_56]) ).

cnf(c_9110,plain,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9081,c_67,c_56,c_52,c_60,c_1408,c_8919,c_9081]) ).

cnf(c_9111,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(renaming,[status(thm)],[c_9110]) ).

cnf(c_9129,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9111,c_869]) ).

cnf(c_9140,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9129,c_55]) ).

cnf(c_9168,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_8998,c_9140]) ).

cnf(c_9171,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9168,c_64,c_54]) ).

cnf(c_9197,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_9171,c_79]) ).

cnf(c_9199,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9171,c_869]) ).

cnf(c_9203,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9197,c_55]) ).

cnf(c_9209,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9199,c_55]) ).

cnf(c_9218,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9209,c_67,c_55,c_52,c_59,c_1354,c_8919,c_9203]) ).

cnf(c_9219,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(renaming,[status(thm)],[c_9218]) ).

cnf(c_9229,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_9219,c_79]) ).

cnf(c_9231,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_9219,c_869]) ).

cnf(c_9233,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9229,c_54]) ).

cnf(c_9238,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9231,c_54]) ).

cnf(c_9246,plain,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9238,c_67,c_54,c_52,c_58,c_1337,c_8919,c_9233]) ).

cnf(c_9247,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(renaming,[status(thm)],[c_9246]) ).

cnf(c_9254,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(superposition,[status(thm)],[c_9247,c_79]) ).

cnf(c_9256,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_9247,c_869]) ).

cnf(c_9257,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_2,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9254,c_53]) ).

cnf(c_9261,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9256,c_53]) ).

cnf(c_9278,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_1580,c_9261]) ).

cnf(c_9279,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2003,c_9261]) ).

cnf(c_9280,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_1860,c_9261]) ).

cnf(c_9281,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9280,c_63,c_56]) ).

cnf(c_9289,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9279,c_63,c_56]) ).

cnf(c_9297,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9278,c_62,c_55]) ).

cnf(c_9334,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(superposition,[status(thm)],[c_9281,c_79]) ).

cnf(c_9340,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9334,c_56]) ).

cnf(c_9395,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_9289,c_869]) ).

cnf(c_9407,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9395,c_56]) ).

cnf(c_9495,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9297,c_869]) ).

cnf(c_9506,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9495,c_55]) ).

cnf(c_9536,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | pigeon_4 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_9340,c_9506]) ).

cnf(c_9538,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9536,c_66,c_56]) ).

cnf(c_9566,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_9538,c_79]) ).

cnf(c_9568,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_9538,c_869]) ).

cnf(c_9575,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9566,c_56]) ).

cnf(c_9583,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9568,c_56]) ).

cnf(c_9594,plain,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9583,c_67,c_56,c_52,c_60,c_1408,c_8919,c_9575]) ).

cnf(c_9595,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(renaming,[status(thm)],[c_9594]) ).

cnf(c_9610,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_9595,c_79]) ).

cnf(c_9612,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9595,c_869]) ).

cnf(c_9615,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9610,c_55]) ).

cnf(c_9622,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9612,c_55]) ).

cnf(c_9632,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9622,c_67,c_55,c_52,c_59,c_1354,c_8919,c_9615]) ).

cnf(c_9633,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(renaming,[status(thm)],[c_9632]) ).

cnf(c_9647,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_9633,c_869]) ).

cnf(c_9655,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9647,c_54]) ).

cnf(c_9678,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_9257,c_9655]) ).

cnf(c_9682,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9678,c_61,c_53]) ).

cnf(c_9700,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(superposition,[status(thm)],[c_9682,c_79]) ).

cnf(c_9704,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9700,c_54]) ).

cnf(c_9726,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_9704,c_9407]) ).

cnf(c_9729,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9726,c_65,c_54]) ).

cnf(c_9771,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_9729,c_79]) ).

cnf(c_9779,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9771,c_56]) ).

cnf(c_9798,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9779,c_67,c_56,c_52,c_60,c_1408,c_8919,c_9779]) ).

cnf(c_9799,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(renaming,[status(thm)],[c_9798]) ).

cnf(c_9815,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9799,c_869]) ).

cnf(c_9824,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9815,c_55]) ).

cnf(c_9850,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9257,c_9824]) ).

cnf(c_9854,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9850,c_62,c_53]) ).

cnf(c_9881,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9854,c_869]) ).

cnf(c_9890,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9881,c_55]) ).

cnf(c_9913,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9704,c_9890]) ).

cnf(c_9916,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9913,c_64,c_54]) ).

cnf(c_9935,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_9916,c_79]) ).

cnf(c_9937,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_9916,c_869]) ).

cnf(c_9940,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9935,c_55]) ).

cnf(c_9945,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9937,c_55]) ).

cnf(c_9953,plain,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9945,c_67,c_55,c_52,c_59,c_1354,c_8919,c_9940]) ).

cnf(c_9954,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(renaming,[status(thm)],[c_9953]) ).

cnf(c_9962,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_9954,c_79]) ).

cnf(c_9964,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_9954,c_869]) ).

cnf(c_9966,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9962,c_54]) ).

cnf(c_9970,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9964,c_54]) ).

cnf(c_9977,plain,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_9970,c_67,c_54,c_52,c_58,c_1337,c_8919,c_9966]) ).

cnf(c_9978,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(renaming,[status(thm)],[c_9977]) ).

cnf(c_9983,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(superposition,[status(thm)],[c_9978,c_79]) ).

cnf(c_9985,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(superposition,[status(thm)],[c_9978,c_869]) ).

cnf(c_9986,plain,
    ( hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9983,c_53]) ).

cnf(c_9989,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9985,c_53]) ).

cnf(c_10003,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2916,c_9989]) ).

cnf(c_10004,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10003,c_63,c_56]) ).

cnf(c_10030,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_10004,c_79]) ).

cnf(c_10037,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10030,c_56]) ).

cnf(c_10064,plain,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_10037,c_67,c_56,c_52,c_60,c_1408,c_8919,c_10037]) ).

cnf(c_10065,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(renaming,[status(thm)],[c_10064]) ).

cnf(c_10080,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_10065,c_79]) ).

cnf(c_10085,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10080,c_55]) ).

cnf(c_10115,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_10085,c_9989]) ).

cnf(c_10117,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10115,c_62,c_55]) ).

cnf(c_10135,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_10117,c_79]) ).

cnf(c_10137,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_10117,c_869]) ).

cnf(c_10140,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10135,c_55]) ).

cnf(c_10146,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | X0 = pigeon_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10137,c_55]) ).

cnf(c_10155,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_10146,c_67,c_55,c_52,c_59,c_1354,c_8919,c_10140]) ).

cnf(c_10156,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(renaming,[status(thm)],[c_10155]) ).

cnf(c_10168,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_10156,c_869]) ).

cnf(c_10175,plain,
    ( ~ in(X0,hole_3)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10168,c_54]) ).

cnf(c_10196,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | pigeon_3 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_2003,c_10175]) ).

cnf(c_10198,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10196,c_65,c_56]) ).

cnf(c_10246,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_10198,c_869]) ).

cnf(c_10259,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10246,c_56]) ).

cnf(c_10292,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1
    | pigeon_2 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_9986,c_10259]) ).

cnf(c_10293,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_5) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10292,c_63,c_53]) ).

cnf(c_10326,plain,
    ( ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(superposition,[status(thm)],[c_10293,c_79]) ).

cnf(c_10328,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_5)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(superposition,[status(thm)],[c_10293,c_869]) ).

cnf(c_10333,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | in(pigeon_5,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10326,c_56]) ).

cnf(c_10341,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | X0 = pigeon_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10328,c_56]) ).

cnf(c_10352,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_10341,c_67,c_56,c_52,c_60,c_1408,c_8919,c_10333]) ).

cnf(c_10353,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(renaming,[status(thm)],[c_10352]) ).

cnf(c_10367,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_4,hole_3) ),
    inference(superposition,[status(thm)],[c_10353,c_79]) ).

cnf(c_10371,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | in(pigeon_4,hole_3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10367,c_55]) ).

cnf(c_10401,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | pigeon_3 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_10371,c_10175]) ).

cnf(c_10405,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10401,c_64,c_55]) ).

cnf(c_10423,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(superposition,[status(thm)],[c_10405,c_79]) ).

cnf(c_10428,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10423,c_55]) ).

cnf(c_10454,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1
    | pigeon_2 = pigeon_4 ),
    inference(superposition,[status(thm)],[c_10428,c_9989]) ).

cnf(c_10456,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_4) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10454,c_62,c_55]) ).

cnf(c_10471,plain,
    ( ~ pigeon(pigeon_4)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(superposition,[status(thm)],[c_10456,c_79]) ).

cnf(c_10476,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | in(pigeon_4,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10471,c_55]) ).

cnf(c_10489,plain,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(global_subsumption_just,[status(thm)],[c_10476,c_67,c_55,c_52,c_59,c_1354,c_8919,c_10476]) ).

cnf(c_10490,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(renaming,[status(thm)],[c_10489]) ).

cnf(c_10500,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_10490,c_869]) ).

cnf(c_10506,plain,
    ( ~ in(X0,hole_2)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10500,c_54]) ).

cnf(c_10524,plain,
    ( ~ pigeon(pigeon_2)
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | pigeon_2 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_9986,c_10506]) ).

cnf(c_10525,plain,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10524,c_61,c_53]) ).

cnf(c_10541,plain,
    ( ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(superposition,[status(thm)],[c_10525,c_79]) ).

cnf(c_10543,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | ~ pigeon(pigeon_3)
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_3 ),
    inference(superposition,[status(thm)],[c_10525,c_869]) ).

cnf(c_10545,plain,
    ( hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10541,c_54]) ).

cnf(c_10548,plain,
    ( ~ in(X0,hole_1)
    | ~ pigeon(X0)
    | hole_of(pigeon_2) = hole_1
    | X0 = pigeon_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10543,c_54]) ).

cnf(c_10554,plain,
    hole_of(pigeon_2) = hole_1,
    inference(global_subsumption_just,[status(thm)],[c_10548,c_67,c_54,c_52,c_58,c_1337,c_8919,c_10545]) ).

cnf(c_10557,plain,
    ( ~ pigeon(pigeon_2)
    | in(pigeon_2,hole_1) ),
    inference(superposition,[status(thm)],[c_10554,c_79]) ).

cnf(c_10560,plain,
    in(pigeon_2,hole_1),
    inference(forward_subsumption_resolution,[status(thm)],[c_10557,c_53]) ).

cnf(c_10565,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10560,c_8919,c_1335,c_57,c_52,c_53,c_67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 13:54:31 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.36/1.14  % SZS status Started for theBenchmark.p
% 3.36/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.14  
% 3.36/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.36/1.14  
% 3.36/1.14  ------  iProver source info
% 3.36/1.14  
% 3.36/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.36/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.36/1.14  git: non_committed_changes: false
% 3.36/1.14  git: last_make_outside_of_git: false
% 3.36/1.14  
% 3.36/1.14  ------ Parsing...successful
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.36/1.14  
% 3.36/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.36/1.14  
% 3.36/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.36/1.14  ------ Proving...
% 3.36/1.14  ------ Problem Properties 
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  clauses                                 29
% 3.36/1.14  conjectures                             1
% 3.36/1.14  EPR                                     27
% 3.36/1.14  Horn                                    28
% 3.36/1.14  unary                                   25
% 3.36/1.14  binary                                  2
% 3.36/1.14  lits                                    40
% 3.36/1.14  lits eq                                 21
% 3.36/1.14  fd_pure                                 0
% 3.36/1.14  fd_pseudo                               0
% 3.36/1.14  fd_cond                                 1
% 3.36/1.14  fd_pseudo_cond                          1
% 3.36/1.14  AC symbols                              0
% 3.36/1.14  
% 3.36/1.14  ------ Schedule dynamic 5 is on 
% 3.36/1.14  
% 3.36/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  ------ 
% 3.36/1.14  Current options:
% 3.36/1.14  ------ 
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  ------ Proving...
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.14  
% 3.36/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.15  
% 3.36/1.15  
%------------------------------------------------------------------------------