TSTP Solution File: MSC007-2.005 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:39:04 EDT 2023

% Result   : Unsatisfiable 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(all_holes,axiom,
    ( X1 = hole_1
    | X1 = hole_2
    | X1 = hole_3
    | X1 = hole_4
    | ~ hole(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',all_holes) ).

cnf(each_pigeons_hole1,axiom,
    ( hole(hole_of(X1))
    | ~ pigeon(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',each_pigeons_hole1) ).

cnf(only_one_per_hole,negated_conjecture,
    ( X2 = X3
    | ~ hole(X1)
    | ~ pigeon(X2)
    | ~ pigeon(X3)
    | ~ in(X2,X1)
    | ~ in(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',only_one_per_hole) ).

cnf(each_pigeons_hole2,axiom,
    ( in(X1,hole_of(X1))
    | ~ pigeon(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',each_pigeons_hole2) ).

cnf(pigeon_5,axiom,
    pigeon(pigeon_5),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_5) ).

cnf(pigeon_2,axiom,
    pigeon(pigeon_2),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_2) ).

cnf(pigeon_3,axiom,
    pigeon(pigeon_3),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_3) ).

cnf(pigeon_4,axiom,
    pigeon(pigeon_4),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_4) ).

cnf(pigeon_1,axiom,
    pigeon(pigeon_1),
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_1) ).

cnf(pigeon_2_is_not_pigeon_5,axiom,
    pigeon_2 != pigeon_5,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_2_is_not_pigeon_5) ).

cnf(pigeon_2_is_not_pigeon_3,axiom,
    pigeon_2 != pigeon_3,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_2_is_not_pigeon_3) ).

cnf(pigeon_2_is_not_pigeon_4,axiom,
    pigeon_2 != pigeon_4,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_2_is_not_pigeon_4) ).

cnf(pigeon_1_is_not_pigeon_2,axiom,
    pigeon_1 != pigeon_2,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_1_is_not_pigeon_2) ).

cnf(pigeon_3_is_not_pigeon_5,axiom,
    pigeon_3 != pigeon_5,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_3_is_not_pigeon_5) ).

cnf(pigeon_3_is_not_pigeon_4,axiom,
    pigeon_3 != pigeon_4,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_3_is_not_pigeon_4) ).

cnf(pigeon_1_is_not_pigeon_3,axiom,
    pigeon_1 != pigeon_3,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_1_is_not_pigeon_3) ).

cnf(pigeon_4_is_not_pigeon_5,axiom,
    pigeon_4 != pigeon_5,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_4_is_not_pigeon_5) ).

cnf(pigeon_1_is_not_pigeon_4,axiom,
    pigeon_1 != pigeon_4,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_1_is_not_pigeon_4) ).

cnf(pigeon_1_is_not_pigeon_5,axiom,
    pigeon_1 != pigeon_5,
    file('/export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p',pigeon_1_is_not_pigeon_5) ).

cnf(c_0_19,axiom,
    ( X1 = hole_1
    | X1 = hole_2
    | X1 = hole_3
    | X1 = hole_4
    | ~ hole(X1) ),
    all_holes ).

cnf(c_0_20,axiom,
    ( hole(hole_of(X1))
    | ~ pigeon(X1) ),
    each_pigeons_hole1 ).

cnf(c_0_21,negated_conjecture,
    ( X2 = X3
    | ~ hole(X1)
    | ~ pigeon(X2)
    | ~ pigeon(X3)
    | ~ in(X2,X1)
    | ~ in(X3,X1) ),
    only_one_per_hole ).

cnf(c_0_22,axiom,
    ( in(X1,hole_of(X1))
    | ~ pigeon(X1) ),
    each_pigeons_hole2 ).

cnf(c_0_23,plain,
    ( hole_of(X1) = hole_4
    | hole_of(X1) = hole_3
    | hole_of(X1) = hole_2
    | hole_of(X1) = hole_1
    | ~ pigeon(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,axiom,
    pigeon(pigeon_5),
    pigeon_5 ).

cnf(c_0_25,axiom,
    pigeon(pigeon_2),
    pigeon_2 ).

cnf(c_0_26,axiom,
    pigeon(pigeon_3),
    pigeon_3 ).

cnf(c_0_27,axiom,
    pigeon(pigeon_4),
    pigeon_4 ).

cnf(c_0_28,axiom,
    pigeon(pigeon_1),
    pigeon_1 ).

cnf(c_0_29,negated_conjecture,
    ( X1 = X2
    | ~ in(X1,hole_of(X2))
    | ~ pigeon(X2)
    | ~ pigeon(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]) ).

cnf(c_0_30,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(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,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(spm,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_32,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(spm,[status(thm)],[c_0_23,c_0_26]) ).

cnf(c_0_33,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(spm,[status(thm)],[c_0_23,c_0_27]) ).

cnf(c_0_34,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(spm,[status(thm)],[c_0_23,c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_4)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24])]) ).

cnf(c_0_36,plain,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_31]),c_0_25])]) ).

cnf(c_0_37,axiom,
    pigeon_2 != pigeon_5,
    pigeon_2_is_not_pigeon_5 ).

cnf(c_0_38,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_4)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_26])]) ).

cnf(c_0_39,axiom,
    pigeon_2 != pigeon_3,
    pigeon_2_is_not_pigeon_3 ).

cnf(c_0_40,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_4)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_33]),c_0_27])]) ).

cnf(c_0_41,axiom,
    pigeon_2 != pigeon_4,
    pigeon_2_is_not_pigeon_4 ).

cnf(c_0_42,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_2
    | ~ in(X1,hole_4)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_25])]) ).

cnf(c_0_43,plain,
    ( hole_of(pigeon_1) = hole_3
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1
    | in(pigeon_1,hole_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_34]),c_0_28])]) ).

cnf(c_0_44,axiom,
    pigeon_1 != pigeon_2,
    pigeon_1_is_not_pigeon_2 ).

cnf(c_0_45,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_25])]),c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_25])]),c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_25])]),c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_28])]),c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_45]),c_0_24])]) ).

cnf(c_0_50,negated_conjecture,
    ( 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
    | in(pigeon_3,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_46]),c_0_26])]) ).

cnf(c_0_51,axiom,
    pigeon_3 != pigeon_5,
    pigeon_3_is_not_pigeon_5 ).

cnf(c_0_52,negated_conjecture,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_47]),c_0_27])]) ).

cnf(c_0_53,axiom,
    pigeon_3 != pigeon_4,
    pigeon_3_is_not_pigeon_4 ).

cnf(c_0_54,negated_conjecture,
    ( 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
    | X1 = pigeon_3
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_26])]) ).

cnf(c_0_55,negated_conjecture,
    ( 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
    | in(pigeon_1,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_48]),c_0_28])]) ).

cnf(c_0_56,axiom,
    pigeon_1 != pigeon_3,
    pigeon_1_is_not_pigeon_3 ).

cnf(c_0_57,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_26])]),c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_26])]),c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_28])]),c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_57]),c_0_24])]) ).

cnf(c_0_61,negated_conjecture,
    ( 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_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_58]),c_0_27])]) ).

cnf(c_0_62,axiom,
    pigeon_4 != pigeon_5,
    pigeon_4_is_not_pigeon_5 ).

cnf(c_0_63,negated_conjecture,
    ( 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_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_58]),c_0_27])]) ).

cnf(c_0_64,negated_conjecture,
    ( 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
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_59]),c_0_28])]) ).

cnf(c_0_65,axiom,
    pigeon_1 != pigeon_4,
    pigeon_1_is_not_pigeon_4 ).

cnf(c_0_66,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_27])]),c_0_62]) ).

cnf(c_0_67,negated_conjecture,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_28])]),c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_66]),c_0_24])]) ).

cnf(c_0_69,negated_conjecture,
    ( 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_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_67]),c_0_28])]) ).

cnf(c_0_70,axiom,
    pigeon_1 != pigeon_5,
    pigeon_1_is_not_pigeon_5 ).

cnf(c_0_71,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_28])]),c_0_70]) ).

cnf(c_0_72,negated_conjecture,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_64]),c_0_28])]),c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_71]),c_0_27])]) ).

cnf(c_0_74,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_72]),c_0_28])]) ).

cnf(c_0_75,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_28])]),c_0_65]) ).

cnf(c_0_76,negated_conjecture,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_27])]) ).

cnf(c_0_77,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_75]),c_0_24])]) ).

cnf(c_0_78,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_76]),c_0_27])]),c_0_62]) ).

cnf(c_0_79,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_77]),c_0_24])]),c_0_62]) ).

cnf(c_0_80,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_55]),c_0_28])]),c_0_65]) ).

cnf(c_0_81,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_78]),c_0_24])]) ).

cnf(c_0_82,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_79]),c_0_26])]) ).

cnf(c_0_83,negated_conjecture,
    ( hole_of(pigeon_4) = hole_2
    | 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_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_80]),c_0_28])]) ).

cnf(c_0_84,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_26])]),c_0_51]) ).

cnf(c_0_85,negated_conjecture,
    ( hole_of(pigeon_3) = hole_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
    | hole_of(pigeon_4) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_26])]),c_0_56]) ).

cnf(c_0_86,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_84]),c_0_24])]) ).

cnf(c_0_87,negated_conjecture,
    ( hole_of(pigeon_4) = hole_2
    | 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_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_85]),c_0_28])]) ).

cnf(c_0_88,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_28])]),c_0_70]) ).

cnf(c_0_89,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_28])]),c_0_70]) ).

cnf(c_0_90,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_79]),c_0_26])]) ).

cnf(c_0_91,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_88]),c_0_27])]) ).

cnf(c_0_92,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = 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
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_89]),c_0_28])]) ).

cnf(c_0_93,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_27])]),c_0_53]) ).

cnf(c_0_94,negated_conjecture,
    ( hole_of(pigeon_3) = hole_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_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_82]),c_0_26])]),c_0_56]) ).

cnf(c_0_95,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_93]),c_0_27])]) ).

cnf(c_0_96,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_94]),c_0_28])]) ).

cnf(c_0_97,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_28])]),c_0_65]) ).

cnf(c_0_98,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_97]),c_0_24])]) ).

cnf(c_0_99,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_98]),c_0_24])]),c_0_51]) ).

cnf(c_0_100,negated_conjecture,
    ( hole_of(pigeon_4) = hole_2
    | 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_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_80]),c_0_28])]) ).

cnf(c_0_101,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_99]),c_0_24])]) ).

cnf(c_0_102,negated_conjecture,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_100]),c_0_28])]),c_0_70]) ).

cnf(c_0_103,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_24])]),c_0_62]) ).

cnf(c_0_104,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_102]),c_0_28])]) ).

cnf(c_0_105,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_103]),c_0_26])]) ).

cnf(c_0_106,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_26])]),c_0_56]) ).

cnf(c_0_107,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_103]),c_0_26])]) ).

cnf(c_0_108,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_106]),c_0_24])]) ).

cnf(c_0_109,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_24])]),c_0_51]) ).

cnf(c_0_110,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_109]),c_0_27])]) ).

cnf(c_0_111,negated_conjecture,
    ( hole_of(pigeon_4) = hole_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_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_110]),c_0_27])]),c_0_65]) ).

cnf(c_0_112,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_111]),c_0_28])]) ).

cnf(c_0_113,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_112]),c_0_28])]),c_0_56]) ).

cnf(c_0_114,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_109]),c_0_27])]) ).

cnf(c_0_115,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_113]),c_0_24])]) ).

cnf(c_0_116,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_24])]),c_0_62]) ).

cnf(c_0_117,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_116]),c_0_24])]) ).

cnf(c_0_118,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_117]),c_0_24])]),c_0_51]) ).

cnf(c_0_119,plain,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_32]),c_0_26])]) ).

cnf(c_0_120,negated_conjecture,
    ( hole_of(pigeon_2) = hole_3
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_118]),c_0_27])]) ).

cnf(c_0_121,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_119]),c_0_26])]),c_0_51]) ).

cnf(c_0_122,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_120]),c_0_27])]),c_0_53]) ).

cnf(c_0_123,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_119]),c_0_26])]),c_0_53]) ).

cnf(c_0_124,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_43]),c_0_28])]),c_0_56]) ).

cnf(c_0_125,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_121]),c_0_24])]) ).

cnf(c_0_126,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_122]),c_0_25])]) ).

cnf(c_0_127,negated_conjecture,
    ( 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
    | X1 = pigeon_4
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_123]),c_0_27])]) ).

cnf(c_0_128,negated_conjecture,
    ( 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
    | X1 = pigeon_1
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_124]),c_0_28])]) ).

cnf(c_0_129,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_25])]),c_0_37]) ).

cnf(c_0_130,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_126]),c_0_25])]),c_0_41]) ).

cnf(c_0_131,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_25])]),c_0_44]) ).

cnf(c_0_132,negated_conjecture,
    ( hole_of(pigeon_5) = 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
    | X1 = pigeon_5
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_129]),c_0_24])]) ).

cnf(c_0_133,negated_conjecture,
    ( 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
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_130]),c_0_27])]) ).

cnf(c_0_134,negated_conjecture,
    ( 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
    | X1 = pigeon_4
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_130]),c_0_27])]) ).

cnf(c_0_135,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_131]),c_0_28])]) ).

cnf(c_0_136,negated_conjecture,
    ( hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_27])]),c_0_62]) ).

cnf(c_0_137,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_28])]),c_0_65]) ).

cnf(c_0_138,negated_conjecture,
    ( 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_4) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_136]),c_0_24])]) ).

cnf(c_0_139,negated_conjecture,
    ( 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
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_137]),c_0_28])]) ).

cnf(c_0_140,negated_conjecture,
    ( hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_28])]),c_0_70]) ).

cnf(c_0_141,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_135]),c_0_28])]),c_0_70]) ).

cnf(c_0_142,negated_conjecture,
    ( 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
    | X1 = pigeon_4
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_140]),c_0_27])]) ).

cnf(c_0_143,negated_conjecture,
    ( hole_of(pigeon_5) = 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
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_141]),c_0_28])]) ).

cnf(c_0_144,negated_conjecture,
    ( hole_of(pigeon_5) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_28])]),c_0_65]) ).

cnf(c_0_145,plain,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_33]),c_0_27])]) ).

cnf(c_0_146,negated_conjecture,
    ( 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
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_144]),c_0_24])]) ).

cnf(c_0_147,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_145]),c_0_27])]),c_0_62]) ).

cnf(c_0_148,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_146]),c_0_24])]),c_0_62]) ).

cnf(c_0_149,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_28])]),c_0_65]) ).

cnf(c_0_150,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_147]),c_0_24])]) ).

cnf(c_0_151,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_2
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_122]),c_0_25])]) ).

cnf(c_0_152,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_148]),c_0_26])]) ).

cnf(c_0_153,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_149]),c_0_28])]) ).

cnf(c_0_154,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_126]),c_0_25])]),c_0_37]) ).

cnf(c_0_155,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_26])]),c_0_39]) ).

cnf(c_0_156,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_126]),c_0_25])]),c_0_44]) ).

cnf(c_0_157,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | 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
    | X1 = pigeon_5
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_154]),c_0_24])]) ).

cnf(c_0_158,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_155]),c_0_26])]) ).

cnf(c_0_159,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_156]),c_0_28])]) ).

cnf(c_0_160,negated_conjecture,
    ( hole_of(pigeon_3) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_26])]),c_0_51]) ).

cnf(c_0_161,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_158]),c_0_26])]),c_0_56]) ).

cnf(c_0_162,negated_conjecture,
    ( 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_3) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_160]),c_0_24])]) ).

cnf(c_0_163,negated_conjecture,
    ( 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_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_161]),c_0_28])]) ).

cnf(c_0_164,negated_conjecture,
    ( hole_of(pigeon_3) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_28])]),c_0_70]) ).

cnf(c_0_165,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_28])]),c_0_70]) ).

cnf(c_0_166,negated_conjecture,
    ( 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_3) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_164]),c_0_27])]) ).

cnf(c_0_167,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_165]),c_0_28])]) ).

cnf(c_0_168,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_166]),c_0_27])]),c_0_41]) ).

cnf(c_0_169,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_126]),c_0_25])]),c_0_44]) ).

cnf(c_0_170,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_155]),c_0_26])]) ).

cnf(c_0_171,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_168]),c_0_27])]) ).

cnf(c_0_172,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_169]),c_0_28])]) ).

cnf(c_0_173,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_27])]),c_0_53]) ).

cnf(c_0_174,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_158]),c_0_26])]),c_0_56]) ).

cnf(c_0_175,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_173]),c_0_27])]) ).

cnf(c_0_176,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_174]),c_0_28])]) ).

cnf(c_0_177,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_28])]),c_0_65]) ).

cnf(c_0_178,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_177]),c_0_24])]) ).

cnf(c_0_179,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_178]),c_0_24])]),c_0_37]) ).

cnf(c_0_180,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_179]),c_0_24])]) ).

cnf(c_0_181,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_180]),c_0_24])]),c_0_51]) ).

cnf(c_0_182,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_156]),c_0_28])]) ).

cnf(c_0_183,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_181]),c_0_24])]) ).

cnf(c_0_184,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_182]),c_0_28])]),c_0_70]) ).

cnf(c_0_185,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_183]),c_0_24])]),c_0_62]) ).

cnf(c_0_186,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | 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
    | X1 = pigeon_1
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_184]),c_0_28])]) ).

cnf(c_0_187,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_185]),c_0_26])]) ).

cnf(c_0_188,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_26])]),c_0_56]) ).

cnf(c_0_189,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_185]),c_0_26])]) ).

cnf(c_0_190,negated_conjecture,
    ( 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
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_188]),c_0_24])]) ).

cnf(c_0_191,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_24])]),c_0_51]) ).

cnf(c_0_192,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_191]),c_0_27])]) ).

cnf(c_0_193,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_192]),c_0_27])]),c_0_41]) ).

cnf(c_0_194,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_193]),c_0_27])]) ).

cnf(c_0_195,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_194]),c_0_27])]),c_0_65]) ).

cnf(c_0_196,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_195]),c_0_28])]) ).

cnf(c_0_197,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_196]),c_0_28])]),c_0_56]) ).

cnf(c_0_198,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_197]),c_0_24])]) ).

cnf(c_0_199,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_198]),c_0_24])]),c_0_37]) ).

cnf(c_0_200,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_193]),c_0_27])]) ).

cnf(c_0_201,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_199]),c_0_24])]) ).

cnf(c_0_202,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_24])]),c_0_62]) ).

cnf(c_0_203,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_202]),c_0_24])]) ).

cnf(c_0_204,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_203]),c_0_24])]),c_0_51]) ).

cnf(c_0_205,negated_conjecture,
    ( 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
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_123]),c_0_27])]) ).

cnf(c_0_206,negated_conjecture,
    ( hole_of(pigeon_2) = hole_2
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_204]),c_0_27])]) ).

cnf(c_0_207,negated_conjecture,
    ( 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
    | in(pigeon_1,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_124]),c_0_28])]) ).

cnf(c_0_208,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_205]),c_0_27])]),c_0_62]) ).

cnf(c_0_209,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_2) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_206]),c_0_27])]),c_0_53]) ).

cnf(c_0_210,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_207]),c_0_28])]),c_0_65]) ).

cnf(c_0_211,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_208]),c_0_24])]) ).

cnf(c_0_212,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | in(pigeon_2,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_209]),c_0_25])]) ).

cnf(c_0_213,negated_conjecture,
    ( 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_1) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_210]),c_0_28])]) ).

cnf(c_0_214,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_25])]),c_0_37]) ).

cnf(c_0_215,negated_conjecture,
    ( hole_of(pigeon_2) = hole_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
    | hole_of(pigeon_4) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_212]),c_0_25])]),c_0_44]) ).

cnf(c_0_216,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_5
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_214]),c_0_24])]) ).

cnf(c_0_217,negated_conjecture,
    ( 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
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_215]),c_0_28])]) ).

cnf(c_0_218,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_28])]),c_0_70]) ).

cnf(c_0_219,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_207]),c_0_28])]),c_0_70]) ).

cnf(c_0_220,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | X1 = pigeon_2
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_209]),c_0_25])]) ).

cnf(c_0_221,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_218]),c_0_27])]) ).

cnf(c_0_222,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_219]),c_0_28])]) ).

cnf(c_0_223,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_27])]),c_0_41]) ).

cnf(c_0_224,negated_conjecture,
    ( hole_of(pigeon_2) = hole_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_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_212]),c_0_25])]),c_0_44]) ).

cnf(c_0_225,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_223]),c_0_27])]) ).

cnf(c_0_226,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = 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
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_224]),c_0_28])]) ).

cnf(c_0_227,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_28])]),c_0_65]) ).

cnf(c_0_228,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_227]),c_0_24])]) ).

cnf(c_0_229,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_228]),c_0_24])]),c_0_37]) ).

cnf(c_0_230,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_229]),c_0_24])]) ).

cnf(c_0_231,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_230]),c_0_24])]),c_0_62]) ).

cnf(c_0_232,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_231]),c_0_26])]) ).

cnf(c_0_233,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = 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
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_232]),c_0_26])]),c_0_51]) ).

cnf(c_0_234,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_232]),c_0_26])]),c_0_56]) ).

cnf(c_0_235,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | 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_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_233]),c_0_24])]) ).

cnf(c_0_236,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_234]),c_0_28])]) ).

cnf(c_0_237,negated_conjecture,
    ( 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_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_235]),c_0_24])]),c_0_37]) ).

cnf(c_0_238,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_236]),c_0_28])]),c_0_44]) ).

cnf(c_0_239,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | 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
    | X1 = pigeon_5
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_237]),c_0_24])]) ).

cnf(c_0_240,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | 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
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_238]),c_0_28])]) ).

cnf(c_0_241,negated_conjecture,
    ( 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_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_28])]),c_0_70]) ).

cnf(c_0_242,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_231]),c_0_26])]) ).

cnf(c_0_243,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_241]),c_0_27])]) ).

cnf(c_0_244,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_232]),c_0_26])]),c_0_56]) ).

cnf(c_0_245,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_27])]),c_0_53]) ).

cnf(c_0_246,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_244]),c_0_28])]) ).

cnf(c_0_247,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_245]),c_0_27])]) ).

cnf(c_0_248,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_246]),c_0_28])]),c_0_44]) ).

cnf(c_0_249,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_247]),c_0_27])]),c_0_41]) ).

cnf(c_0_250,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_248]),c_0_28])]) ).

cnf(c_0_251,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_249]),c_0_27])]) ).

cnf(c_0_252,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_27])]),c_0_65]) ).

cnf(c_0_253,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_252]),c_0_24])]) ).

cnf(c_0_254,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_253]),c_0_24])]),c_0_51]) ).

cnf(c_0_255,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_254]),c_0_24])]) ).

cnf(c_0_256,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_255]),c_0_24])]),c_0_37]) ).

cnf(c_0_257,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_1) = hole_1
    | in(pigeon_1,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_149]),c_0_28])]) ).

cnf(c_0_258,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_249]),c_0_27])]) ).

cnf(c_0_259,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_256]),c_0_24])]) ).

cnf(c_0_260,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_257]),c_0_28])]),c_0_70]) ).

cnf(c_0_261,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_24])]),c_0_62]) ).

cnf(c_0_262,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_260]),c_0_28])]) ).

cnf(c_0_263,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_261]),c_0_26])]) ).

cnf(c_0_264,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = 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
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_212]),c_0_25])]),c_0_44]) ).

cnf(c_0_265,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_263]),c_0_26])]),c_0_39]) ).

cnf(c_0_266,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_264]),c_0_28])]) ).

cnf(c_0_267,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | in(pigeon_3,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_265]),c_0_26])]) ).

cnf(c_0_268,negated_conjecture,
    ( 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
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_26])]),c_0_56]) ).

cnf(c_0_269,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_268]),c_0_24])]) ).

cnf(c_0_270,negated_conjecture,
    ( 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_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_269]),c_0_24])]),c_0_37]) ).

cnf(c_0_271,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_265]),c_0_26])]) ).

cnf(c_0_272,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_270]),c_0_24])]) ).

cnf(c_0_273,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_24])]),c_0_51]) ).

cnf(c_0_274,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_273]),c_0_27])]) ).

cnf(c_0_275,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_274]),c_0_27])]),c_0_65]) ).

cnf(c_0_276,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_275]),c_0_28])]) ).

cnf(c_0_277,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_276]),c_0_28])]),c_0_44]) ).

cnf(c_0_278,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_277]),c_0_28])]) ).

cnf(c_0_279,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_278]),c_0_28])]),c_0_56]) ).

cnf(c_0_280,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_273]),c_0_27])]) ).

cnf(c_0_281,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_279]),c_0_24])]) ).

cnf(c_0_282,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_24])]),c_0_62]) ).

cnf(c_0_283,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_282]),c_0_24])]) ).

cnf(c_0_284,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_283]),c_0_24])]),c_0_37]) ).

cnf(c_0_285,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_284]),c_0_24])]) ).

cnf(c_0_286,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_285]),c_0_24])]),c_0_51]) ).

cnf(c_0_287,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_286]),c_0_27])]) ).

cnf(c_0_288,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_2) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_287]),c_0_27])]),c_0_41]) ).

cnf(c_0_289,negated_conjecture,
    ( 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_1) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_210]),c_0_28])]) ).

cnf(c_0_290,negated_conjecture,
    ( hole_of(pigeon_2) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_288]),c_0_27])]) ).

cnf(c_0_291,negated_conjecture,
    ( hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_289]),c_0_28])]),c_0_70]) ).

cnf(c_0_292,negated_conjecture,
    hole_of(pigeon_2) = hole_1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_290]),c_0_27])]),c_0_53]) ).

cnf(c_0_293,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_291]),c_0_28])]) ).

cnf(c_0_294,negated_conjecture,
    in(pigeon_2,hole_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_292]),c_0_25])]) ).

cnf(c_0_295,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_25])]),c_0_44]) ).

cnf(c_0_296,negated_conjecture,
    ( X1 = pigeon_2
    | ~ in(X1,hole_1)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_292]),c_0_25])]) ).

cnf(c_0_297,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_295]),c_0_24])]) ).

cnf(c_0_298,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_24])]),c_0_37]) ).

cnf(c_0_299,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_298]),c_0_27])]) ).

cnf(c_0_300,negated_conjecture,
    ( hole_of(pigeon_4) = hole_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_5) = hole_1
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_299]),c_0_27])]),c_0_65]) ).

cnf(c_0_301,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_300]),c_0_28])]) ).

cnf(c_0_302,negated_conjecture,
    ( hole_of(pigeon_4) = 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
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_301]),c_0_28])]),c_0_44]) ).

cnf(c_0_303,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_298]),c_0_27])]) ).

cnf(c_0_304,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_302]),c_0_24])]) ).

cnf(c_0_305,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_24])]),c_0_62]) ).

cnf(c_0_306,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_305]),c_0_24])]) ).

cnf(c_0_307,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_306]),c_0_24])]),c_0_37]) ).

cnf(c_0_308,negated_conjecture,
    ( hole_of(pigeon_3) = hole_3
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_307]),c_0_27])]) ).

cnf(c_0_309,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_308]),c_0_27])]),c_0_41]) ).

cnf(c_0_310,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_309]),c_0_26])]) ).

cnf(c_0_311,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_310]),c_0_26])]),c_0_51]) ).

cnf(c_0_312,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | 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 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_310]),c_0_26])]),c_0_56]) ).

cnf(c_0_313,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | 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
    | X1 = pigeon_5
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_311]),c_0_24])]) ).

cnf(c_0_314,negated_conjecture,
    ( hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_312]),c_0_28])]) ).

cnf(c_0_315,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_28])]),c_0_70]) ).

cnf(c_0_316,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | 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
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_315]),c_0_28])]) ).

cnf(c_0_317,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_316]),c_0_28])]),c_0_44]) ).

cnf(c_0_318,negated_conjecture,
    ( 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
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_317]),c_0_24])]) ).

cnf(c_0_319,negated_conjecture,
    ( 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_318]),c_0_24])]),c_0_37]) ).

cnf(c_0_320,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_309]),c_0_26])]) ).

cnf(c_0_321,negated_conjecture,
    ( hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_319]),c_0_27])]) ).

cnf(c_0_322,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_310]),c_0_26])]),c_0_56]) ).

cnf(c_0_323,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_27])]),c_0_53]) ).

cnf(c_0_324,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | X1 = pigeon_1
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_322]),c_0_28])]) ).

cnf(c_0_325,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_323]),c_0_27])]) ).

cnf(c_0_326,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_27])]),c_0_65]) ).

cnf(c_0_327,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_326]),c_0_28])]) ).

cnf(c_0_328,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_327]),c_0_28])]),c_0_44]) ).

cnf(c_0_329,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_328]),c_0_24])]) ).

cnf(c_0_330,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_329]),c_0_24])]),c_0_51]) ).

cnf(c_0_331,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_323]),c_0_27])]) ).

cnf(c_0_332,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_330]),c_0_24])]) ).

cnf(c_0_333,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_24])]),c_0_62]) ).

cnf(c_0_334,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_333]),c_0_24])]) ).

cnf(c_0_335,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_334]),c_0_24])]),c_0_37]) ).

cnf(c_0_336,negated_conjecture,
    ( hole_of(pigeon_3) = hole_2
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_335]),c_0_27])]) ).

cnf(c_0_337,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_3) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_336]),c_0_27])]),c_0_41]) ).

cnf(c_0_338,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | in(pigeon_3,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_337]),c_0_26])]) ).

cnf(c_0_339,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = 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
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_338]),c_0_26])]),c_0_56]) ).

cnf(c_0_340,negated_conjecture,
    ( hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_339]),c_0_28])]) ).

cnf(c_0_341,negated_conjecture,
    ( 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
    | hole_of(pigeon_5) = hole_2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_340]),c_0_28])]),c_0_44]) ).

cnf(c_0_342,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | X1 = pigeon_3
    | ~ in(X1,hole_2)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_337]),c_0_26])]) ).

cnf(c_0_343,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_341]),c_0_24])]) ).

cnf(c_0_344,negated_conjecture,
    ( 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_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_24])]),c_0_51]) ).

cnf(c_0_345,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_344]),c_0_24])]) ).

cnf(c_0_346,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_345]),c_0_24])]),c_0_37]) ).

cnf(c_0_347,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_346]),c_0_27])]) ).

cnf(c_0_348,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_1) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_347]),c_0_27])]),c_0_65]) ).

cnf(c_0_349,negated_conjecture,
    ( hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_348]),c_0_28])]) ).

cnf(c_0_350,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_1) = hole_1
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_349]),c_0_28])]),c_0_56]) ).

cnf(c_0_351,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_1,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_350]),c_0_28])]) ).

cnf(c_0_352,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_3
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_351]),c_0_28])]),c_0_44]) ).

cnf(c_0_353,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | X1 = pigeon_4
    | ~ in(X1,hole_3)
    | ~ pigeon(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_346]),c_0_27])]) ).

cnf(c_0_354,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_352]),c_0_24])]) ).

cnf(c_0_355,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_5) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_24])]),c_0_62]) ).

cnf(c_0_356,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_5) = hole_1
    | in(pigeon_5,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_355]),c_0_24])]) ).

cnf(c_0_357,negated_conjecture,
    ( hole_of(pigeon_5) = hole_1
    | hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_356]),c_0_24])]),c_0_51]) ).

cnf(c_0_358,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_5,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_357]),c_0_24])]) ).

cnf(c_0_359,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_4) = hole_2
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_358]),c_0_24])]),c_0_37]) ).

cnf(c_0_360,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | hole_of(pigeon_4) = hole_1
    | in(pigeon_4,hole_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_359]),c_0_27])]) ).

cnf(c_0_361,negated_conjecture,
    ( hole_of(pigeon_4) = hole_1
    | hole_of(pigeon_3) = hole_1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_360]),c_0_27])]),c_0_53]) ).

cnf(c_0_362,negated_conjecture,
    ( hole_of(pigeon_3) = hole_1
    | in(pigeon_4,hole_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_361]),c_0_27])]) ).

cnf(c_0_363,negated_conjecture,
    hole_of(pigeon_3) = hole_1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_362]),c_0_27])]),c_0_41]) ).

cnf(c_0_364,negated_conjecture,
    in(pigeon_3,hole_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_363]),c_0_26])]) ).

cnf(c_0_365,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_364]),c_0_26])]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.15/0.31  % WCLimit    : 300
% 0.15/0.31  % DateTime   : Mon Oct  2 10:48:26 EDT 2023
% 0.15/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.77KKPMk6Td/E---3.1_8340.p
% 0.15/0.47  # Version: 3.1pre001
% 0.15/0.47  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47  # Starting sh5l with 300s (1) cores
% 0.15/0.47  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 8421 completed with status 0
% 0.15/0.47  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.47  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.47  # No SInE strategy applied
% 0.15/0.47  # Search class: FGUSF-FFSM11-SFFFFFNN
% 0.15/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.47  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.47  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.47  # Starting sh5l with 136s (1) cores
% 0.15/0.47  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 8428 completed with status 0
% 0.15/0.47  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.47  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.47  # No SInE strategy applied
% 0.15/0.47  # Search class: FGUSF-FFSM11-SFFFFFNN
% 0.15/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.47  # Preprocessing time       : 0.001 s
% 0.15/0.47  # Presaturation interreduction done
% 0.15/0.47  
% 0.15/0.47  # Proof found!
% 0.15/0.47  # SZS status Unsatisfiable
% 0.15/0.47  # SZS output start CNFRefutation
% See solution above
% 0.15/0.47  # Parsed axioms                        : 32
% 0.15/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.47  # Initial clauses                      : 32
% 0.15/0.47  # Removed in clause preprocessing      : 3
% 0.15/0.47  # Initial clauses in saturation        : 29
% 0.15/0.47  # Processed clauses                    : 720
% 0.15/0.47  # ...of these trivial                  : 0
% 0.15/0.47  # ...subsumed                          : 298
% 0.15/0.47  # ...remaining for further processing  : 422
% 0.15/0.47  # Other redundant clauses eliminated   : 0
% 0.15/0.47  # Clauses deleted for lack of memory   : 0
% 0.15/0.47  # Backward-subsumed                    : 323
% 0.15/0.47  # Backward-rewritten                   : 13
% 0.15/0.47  # Generated clauses                    : 1323
% 0.15/0.47  # ...of the previous two non-redundant : 1175
% 0.15/0.47  # ...aggressively subsumed             : 0
% 0.15/0.47  # Contextual simplify-reflections      : 1
% 0.15/0.47  # Paramodulations                      : 1205
% 0.15/0.47  # Factorizations                       : 118
% 0.15/0.47  # NegExts                              : 0
% 0.15/0.47  # Equation resolutions                 : 0
% 0.15/0.47  # Total rewrite steps                  : 1492
% 0.15/0.47  # Propositional unsat checks           : 0
% 0.15/0.47  #    Propositional check models        : 0
% 0.15/0.47  #    Propositional check unsatisfiable : 0
% 0.15/0.47  #    Propositional clauses             : 0
% 0.15/0.47  #    Propositional clauses after purity: 0
% 0.15/0.47  #    Propositional unsat core size     : 0
% 0.15/0.47  #    Propositional preprocessing time  : 0.000
% 0.15/0.47  #    Propositional encoding time       : 0.000
% 0.15/0.47  #    Propositional solver time         : 0.000
% 0.15/0.47  #    Success case prop preproc time    : 0.000
% 0.15/0.47  #    Success case prop encoding time   : 0.000
% 0.15/0.47  #    Success case prop solver time     : 0.000
% 0.15/0.47  # Current number of processed clauses  : 57
% 0.15/0.47  #    Positive orientable unit clauses  : 13
% 0.15/0.47  #    Positive unorientable unit clauses: 0
% 0.15/0.47  #    Negative unit clauses             : 16
% 0.15/0.47  #    Non-unit-clauses                  : 28
% 0.15/0.47  # Current number of unprocessed clauses: 11
% 0.15/0.47  # ...number of literals in the above   : 61
% 0.15/0.47  # Current number of archived formulas  : 0
% 0.15/0.47  # Current number of archived clauses   : 365
% 0.15/0.47  # Clause-clause subsumption calls (NU) : 42576
% 0.15/0.47  # Rec. Clause-clause subsumption calls : 579
% 0.15/0.47  # Non-unit clause-clause subsumptions  : 504
% 0.15/0.47  # Unit Clause-clause subsumption calls : 105
% 0.15/0.47  # Rewrite failures with RHS unbound    : 0
% 0.15/0.47  # BW rewrite match attempts            : 2
% 0.15/0.47  # BW rewrite match successes           : 2
% 0.15/0.47  # Condensation attempts                : 0
% 0.15/0.47  # Condensation successes               : 0
% 0.15/0.47  # Termbank termtop insertions          : 35928
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.047 s
% 0.15/0.47  # System time              : 0.004 s
% 0.15/0.47  # Total time               : 0.051 s
% 0.15/0.47  # Maximum resident set size: 1640 pages
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.238 s
% 0.15/0.47  # System time              : 0.009 s
% 0.15/0.47  # Total time               : 0.248 s
% 0.15/0.47  # Maximum resident set size: 1732 pages
% 0.15/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------