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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:35 PM UTC 2026

% Result   : Unsatisfiable 4.16s 1.16s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  383 (   2 unt;   0 def)
%            Number of atoms       : 1723 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2166 ( 826   ~;1340   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   52 (  51 usr;  48 prp; 0-1 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :  298 (   0 sgn 298   !;   0   ?; 227   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f10,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f30,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f32,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp2
    | hskp22
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f36,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f43,negated_conjecture,
    ( c0_1(a246)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f45,negated_conjecture,
    ( c3_1(a246)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f56,negated_conjecture,
    ( c1_1(a294)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f65,negated_conjecture,
    ( c0_1(a271)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c1_1(a271)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c0_1(a269)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c3_1(a269)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c1_1(a265)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c2_1(a265)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c1_1(a259)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c2_1(a257)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c3_1(a257)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f75,negated_conjecture,
    ( c0_1(a252)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c2_1(a251)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a249)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c3_1(a249)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c3_1(a248)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c0_1(a245)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c2_1(a245)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c0_1(a244)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f84,negated_conjecture,
    ( c2_1(a241)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c3_1(a241)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c3_1(a239)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c0_1(a238)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f90,negated_conjecture,
    ( c1_1(a234)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f96,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a294) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f102,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a271) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a269) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a265) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a263) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a259) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a259) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a257) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f116,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a251) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a251) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a249) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a245) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a244) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a244) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f128,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a241) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a239) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a239) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a238) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a238) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f137,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a234) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a234) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp19
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp16
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp9
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp31
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp19
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp12
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( hskp4
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( hskp25
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X0,X1] :
      ( hskp31
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

fof(f205,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).

tcf(c_258,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_264,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_284,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_286,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_287,negated_conjecture,
    ( hskp2
    | hskp22
    | hskp28 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_290,negated_conjecture,
    ( hskp7
    | hskp8
    | hskp15 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_297,negated_conjecture,
    ( c0_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_299,negated_conjecture,
    ( c3_1(a246)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_310,negated_conjecture,
    ( c1_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_311,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_319,negated_conjecture,
    ( c0_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_320,negated_conjecture,
    ( c1_1(a271)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_321,negated_conjecture,
    ( c0_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_322,negated_conjecture,
    ( c3_1(a269)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_323,negated_conjecture,
    ( c1_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_324,negated_conjecture,
    ( c2_1(a265)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_325,negated_conjecture,
    ( c1_1(a259)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_326,negated_conjecture,
    ( c2_1(a257)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_327,negated_conjecture,
    ( c3_1(a257)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_329,negated_conjecture,
    ( c0_1(a252)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_330,negated_conjecture,
    ( c2_1(a251)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_331,negated_conjecture,
    ( c0_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_332,negated_conjecture,
    ( c3_1(a249)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_333,negated_conjecture,
    ( c3_1(a248)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_334,negated_conjecture,
    ( c0_1(a245)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_335,negated_conjecture,
    ( c2_1(a245)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_336,negated_conjecture,
    ( c0_1(a244)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_338,negated_conjecture,
    ( c2_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_339,negated_conjecture,
    ( c3_1(a241)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_340,negated_conjecture,
    ( c3_1(a239)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_341,negated_conjecture,
    ( c0_1(a238)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_344,negated_conjecture,
    ( c1_1(a234)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a294) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a271) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a269) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a265) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a263) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a263) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a263) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a259) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a259) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a258) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a258) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a258) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a257) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a252) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a252) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a251) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a251) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a249) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a248) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a248) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a245) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a244) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a244) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_382,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a241) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_383,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a239) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_384,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a239) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_385,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a238) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_386,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a238) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_391,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a234) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_392,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a234) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp19
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp17
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp31
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp19
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp12
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_449,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_499,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_286,c_287,c_284,c_264,c_258]) ).

tcf(c_569,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_287,c_284,c_264,c_258,c_395]) ).

tcf(c_578,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_287,c_284,c_264,c_258,c_410]) ).

tcf(c_581,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp31
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_287,c_284,c_264,c_258,c_409]) ).

tcf(c_590,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp17
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_287,c_284,c_264,c_258,c_406]) ).

tcf(c_593,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_287,c_284,c_264,c_258,c_405]) ).

tcf(c_596,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp19
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_287,c_284,c_264,c_258,c_404]) ).

tcf(c_599,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_287,c_284,c_264,c_258,c_403]) ).

tcf(c_617,plain,
    ! [X0: $i] :
      ( hskp4
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_287,c_284,c_264,c_258,c_421]) ).

tcf(c_618,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_617]) ).

tcf(c_629,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp12
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_287,c_284,c_264,c_258,c_417]) ).

tcf(c_630,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp12
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_629]) ).

tcf(c_632,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp10
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_287,c_284,c_264,c_258,c_416]) ).

tcf(c_633,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_632]) ).

tcf(c_641,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp19
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_287,c_284,c_264,c_258,c_413]) ).

tcf(c_642,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp19
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_641]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_287,c_284,c_264,c_258,c_423]) ).

tcf(c_659,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_287,c_284,c_264,c_258,c_428]) ).

tcf(c_661,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_287,c_284,c_264,c_258,c_427]) ).

tcf(c_668,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_287,c_284,c_264,c_258,c_434]) ).

tcf(c_669,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_668]) ).

tcf(c_670,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_287,c_284,c_264,c_258,c_433]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_670]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_287,c_284,c_264,c_258,c_431]) ).

tcf(c_676,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_675]) ).

tcf(c_678,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_287,c_284,c_264,c_258,c_430]) ).

tcf(c_679,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_678]) ).

tcf(c_682,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_287,c_284,c_264,c_258,c_447]) ).

tcf(c_683,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_682]) ).

tcf(c_684,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_287,c_284,c_264,c_258,c_446]) ).

tcf(c_685,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_684]) ).

tcf(c_687,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_287,c_284,c_264,c_258,c_445]) ).

tcf(c_688,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_687]) ).

tcf(c_695,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_287,c_284,c_264,c_258,c_441]) ).

tcf(c_696,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_695]) ).

tcf(c_697,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_287,c_284,c_264,c_258,c_440]) ).

tcf(c_698,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_697]) ).

tcf(c_699,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_287,c_284,c_264,c_258,c_439]) ).

tcf(c_700,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_699]) ).

tcf(c_703,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_287,c_284,c_264,c_258,c_437]) ).

tcf(c_704,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_703]) ).

tcf(c_709,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_450,c_287,c_284,c_264,c_258,c_450]) ).

tcf(c_710,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_709]) ).

tcf(c_711,plain,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_449,c_287,c_284,c_264,c_258,c_449]) ).

tcf(c_712,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_711]) ).

tcf(c_713,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_448,c_499]) ).

tcf(c_714,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_713]) ).

tcf(c_718,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_451,c_287,c_284,c_264,c_258,c_451]) ).

tcf(c_719,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_718]) ).

tcf(c_721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_455,c_287,c_284,c_264,c_258,c_455]) ).

tcf(c_722,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_721]) ).

tcf(c_723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_454,c_287,c_284,c_264,c_258,c_454]) ).

tcf(c_724,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_723]) ).

tcf(c_725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X1)
      | c0_1(X2)
      | c2_1(X0)
      | c2_1(X2)
      | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_453,c_287,c_284,c_264,c_258,c_453,c_456]) ).

tcf(c_726,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_725]) ).

tcf(c_727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_457,c_287,c_284,c_264,c_258,c_457]) ).

tcf(c_728,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_727]) ).

tcf(c_729,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_456,c_726]) ).

tcf(c_731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_459,c_287,c_284,c_264,c_258,c_459]) ).

tcf(c_732,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_731]) ).

tcf(c_733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_458,c_287,c_284,c_264,c_258,c_458]) ).

tcf(c_734,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_733]) ).

tcf(c_735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_460,c_287,c_284,c_264,c_258,c_460]) ).

tcf(c_736,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_735]) ).

tcf(c_3872,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(a257)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_676,c_367]) ).

tcf(c_3873,plain,
    ( c3_1(a234)
    | c2_1(a234)
    | c0_1(a234)
    | ~ c1_1(a234)
    | ~ c1_1(a257) ),
    inference(instantiation,[status(thm)],[c_3872]) ).

tcf(c_3895,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(a257)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_676,c_327]) ).

tcf(c_3896,plain,
    ( c3_1(a234)
    | c3_1(a257)
    | c2_1(a234)
    | c0_1(a234)
    | ~ c1_1(a234) ),
    inference(instantiation,[status(thm)],[c_3895]) ).

tcf(c_3918,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(a257)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_676,c_326]) ).

tcf(c_3919,plain,
    ( c3_1(a234)
    | c2_1(a234)
    | c2_1(a257)
    | c0_1(a234)
    | ~ c1_1(a234) ),
    inference(instantiation,[status(thm)],[c_3918]) ).

tcf(c_6338,plain,
    ( hskp7
    | hskp15
    | ~ c1_1(a245) ),
    inference(resolution,[status(thm)],[c_290,c_377]) ).

tcf(c_6348,plain,
    ( hskp7
    | hskp15
    | c2_1(a245) ),
    inference(resolution,[status(thm)],[c_290,c_335]) ).

tcf(c_6358,plain,
    ( hskp7
    | hskp15
    | c0_1(a245) ),
    inference(resolution,[status(thm)],[c_290,c_334]) ).

tcf(c_17957,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_736]) ).

tcf(c_17961,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_734]) ).

tcf(c_17962,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_734]) ).

tcf(c_17964,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_732]) ).

tcf(c_17965,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_732]) ).

tcf(c_17966,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_732]) ).

tcf(c_17967,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_732]) ).

tcf(c_17968,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_728]) ).

tcf(c_17969,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_728]) ).

tcf(c_17970,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_728]) ).

tcf(c_17971,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_728]) ).

tcf(c_17972,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_729]) ).

tcf(c_17973,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_729]) ).

tcf(c_17974,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_729]) ).

tcf(c_17975,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_724]) ).

tcf(c_17976,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_724]) ).

tcf(c_17977,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_724]) ).

tcf(c_17978,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_722]) ).

tcf(c_17979,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_722]) ).

tcf(c_17980,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_722]) ).

tcf(c_17981,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_719]) ).

tcf(c_17982,negated_conjecture,
    ( iPr_def_27
    | iPr_def_13
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_719]) ).

tcf(c_17985,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_714]) ).

tcf(c_17987,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_712]) ).

tcf(c_17988,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_712]) ).

tcf(c_17990,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_710]) ).

tcf(c_17991,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_710]) ).

tcf(c_17994,negated_conjecture,
    ( iPr_def_27
    | iPr_def_14
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_704]) ).

tcf(c_17997,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_700]) ).

tcf(c_17998,negated_conjecture,
    ( iPr_def_34
    | iPr_def_15
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).

tcf(c_17999,negated_conjecture,
    ( iPr_def_23
    | iPr_def_20
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).

tcf(c_18000,negated_conjecture,
    ( iPr_def_30
    | iPr_def_22
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).

tcf(c_18005,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_688]) ).

tcf(c_18006,negated_conjecture,
    ( iPr_def_36
    | iPr_def_15
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_688]) ).

tcf(c_18007,negated_conjecture,
    ( iPr_def_36
    | iPr_def_29
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_685]) ).

tcf(c_18008,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).

tcf(c_18010,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_679]) ).

tcf(c_18011,negated_conjecture,
    ( iPr_def_37
    | iPr_def_31
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_679]) ).

tcf(c_18012,negated_conjecture,
    ( iPr_def_34
    | iPr_def_22
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).

tcf(c_18014,negated_conjecture,
    ( iPr_def_25
    | iPr_def_19
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).

tcf(c_18015,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_669]) ).

tcf(c_18018,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_661]) ).

tcf(c_18019,negated_conjecture,
    ( iPr_def_36
    | iPr_def_26
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).

tcf(c_18020,negated_conjecture,
    ( iPr_def_24
    | iPr_def_14
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).

tcf(c_18025,negated_conjecture,
    ( iPr_def_30
    | hskp17
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).

tcf(c_18028,negated_conjecture,
    ( iPr_def_15
    | hskp5
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).

tcf(c_18029,negated_conjecture,
    ( iPr_def_15
    | hskp3
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_630]) ).

tcf(c_18040,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_599]) ).

tcf(c_18042,negated_conjecture,
    ( iPr_def_40
    | hskp16
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_596]) ).

tcf(c_18043,negated_conjecture,
    ( iPr_def_25
    | hskp11
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).

tcf(c_18044,negated_conjecture,
    ( iPr_def_36
    | hskp9
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_590]) ).

tcf(c_18047,negated_conjecture,
    ( iPr_def_18
    | hskp4
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_581]) ).

tcf(c_18048,negated_conjecture,
    ( iPr_def_18
    | hskp15
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).

tcf(c_18059,plain,
    ( c3_1(a234)
    | c2_1(a234)
    | ~ iPr_def_18
    | ~ c1_1(a234) ),
    inference(instantiation,[status(thm)],[c_17968]) ).

tcf(c_18061,plain,
    ( c3_1(a234)
    | c0_1(a234)
    | ~ iPr_def_22
    | ~ c1_1(a234) ),
    inference(instantiation,[status(thm)],[c_17973]) ).

tcf(c_18062,plain,
    ( c2_1(a234)
    | c0_1(a234)
    | ~ iPr_def_23
    | ~ c3_1(a234) ),
    inference(instantiation,[status(thm)],[c_17975]) ).

tcf(c_18092,plain,
    ( c0_1(a265)
    | ~ iPr_def_13
    | ~ c1_1(a265)
    | ~ c3_1(a265) ),
    inference(instantiation,[status(thm)],[c_17961]) ).

tcf(c_18099,plain,
    ( c1_1(a258)
    | c2_1(a258)
    | c0_1(a258)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_17962]) ).

tcf(c_18104,plain,
    ( c1_1(a246)
    | ~ iPr_def_15
    | ~ c3_1(a246)
    | ~ c0_1(a246) ),
    inference(instantiation,[status(thm)],[c_17964]) ).

tcf(c_18107,plain,
    ( c1_1(a249)
    | ~ iPr_def_15
    | ~ c3_1(a249)
    | ~ c0_1(a249) ),
    inference(instantiation,[status(thm)],[c_17964]) ).

tcf(c_18108,plain,
    ( c1_1(a245)
    | ~ iPr_def_15
    | ~ c3_1(a245)
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17964]) ).

tcf(c_18109,plain,
    ( c1_1(a244)
    | ~ iPr_def_15
    | ~ c3_1(a244)
    | ~ c0_1(a244) ),
    inference(instantiation,[status(thm)],[c_17964]) ).

tcf(c_18112,plain,
    ( c2_1(a271)
    | ~ iPr_def_17
    | ~ c3_1(a271)
    | ~ c0_1(a271) ),
    inference(instantiation,[status(thm)],[c_17966]) ).

tcf(c_18113,plain,
    ( c2_1(a249)
    | ~ iPr_def_17
    | ~ c3_1(a249)
    | ~ c0_1(a249) ),
    inference(instantiation,[status(thm)],[c_17966]) ).

tcf(c_18115,plain,
    ( c2_1(a244)
    | ~ iPr_def_17
    | ~ c3_1(a244)
    | ~ c0_1(a244) ),
    inference(instantiation,[status(thm)],[c_17966]) ).

tcf(c_18117,plain,
    ( c3_1(a259)
    | c2_1(a259)
    | ~ iPr_def_18
    | ~ c1_1(a259) ),
    inference(instantiation,[status(thm)],[c_17968]) ).

tcf(c_18118,plain,
    ( c3_1(a258)
    | c2_1(a258)
    | ~ iPr_def_18
    | ~ c1_1(a258) ),
    inference(instantiation,[status(thm)],[c_17968]) ).

tcf(c_18121,plain,
    ( c3_1(a271)
    | c2_1(a271)
    | ~ iPr_def_18
    | ~ c1_1(a271) ),
    inference(instantiation,[status(thm)],[c_17968]) ).

tcf(c_18125,plain,
    ( c3_1(a265)
    | ~ iPr_def_20
    | ~ c1_1(a265)
    | ~ c2_1(a265) ),
    inference(instantiation,[status(thm)],[c_17970]) ).

tcf(c_18129,plain,
    ( c3_1(a263)
    | c0_1(a263)
    | ~ iPr_def_40
    | ~ c2_1(a263) ),
    inference(instantiation,[status(thm)],[c_18040]) ).

tcf(c_18133,plain,
    ( c3_1(a251)
    | c0_1(a251)
    | ~ iPr_def_40
    | ~ c2_1(a251) ),
    inference(instantiation,[status(thm)],[c_18040]) ).

tcf(c_18138,plain,
    ( c3_1(a294)
    | ~ iPr_def_20
    | ~ c1_1(a294)
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_17970]) ).

tcf(c_18145,plain,
    ( c3_1(a238)
    | c2_1(a238)
    | ~ iPr_def_18
    | ~ c1_1(a238) ),
    inference(instantiation,[status(thm)],[c_17968]) ).

tcf(c_18154,plain,
    ( hskp10
    | c1_1(a263)
    | c0_1(a263)
    | ~ c2_1(a263) ),
    inference(instantiation,[status(thm)],[c_569]) ).

tcf(c_18157,plain,
    ( hskp10
    | c1_1(a248)
    | c0_1(a248)
    | ~ c2_1(a248) ),
    inference(instantiation,[status(thm)],[c_569]) ).

tcf(c_18159,plain,
    ( hskp10
    | c1_1(a241)
    | c0_1(a241)
    | ~ c2_1(a241) ),
    inference(instantiation,[status(thm)],[c_569]) ).

tcf(c_18178,plain,
    ( c1_1(a244)
    | c2_1(a244)
    | ~ iPr_def_25
    | ~ c0_1(a244) ),
    inference(instantiation,[status(thm)],[c_17978]) ).

tcf(c_18228,plain,
    ( c3_1(a251)
    | ~ iPr_def_29
    | ~ c2_1(a251)
    | ~ c0_1(a251) ),
    inference(instantiation,[status(thm)],[c_17985]) ).

tcf(c_18237,plain,
    ( c1_1(a263)
    | c3_1(a263)
    | c2_1(a263)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17979]) ).

tcf(c_18241,plain,
    ( c1_1(a263)
    | c2_1(a263)
    | c0_1(a263)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_17962]) ).

tcf(c_18262,plain,
    ( c3_1(a258)
    | c0_1(a258)
    | ~ iPr_def_22
    | ~ c1_1(a258) ),
    inference(instantiation,[status(thm)],[c_17973]) ).

tcf(c_18273,plain,
    ( c2_1(a248)
    | c0_1(a248)
    | ~ iPr_def_23
    | ~ c3_1(a248) ),
    inference(instantiation,[status(thm)],[c_17975]) ).

tcf(c_18290,plain,
    ( c0_1(a241)
    | ~ iPr_def_13
    | ~ c1_1(a241)
    | ~ c3_1(a241) ),
    inference(instantiation,[status(thm)],[c_17961]) ).

tcf(c_18301,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a265)
    | ~ c3_1(a265)
    | ~ c2_1(a265) ),
    inference(instantiation,[status(thm)],[c_17981]) ).

tcf(c_18304,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a241)
    | ~ c3_1(a241)
    | ~ c2_1(a241) ),
    inference(instantiation,[status(thm)],[c_17981]) ).

tcf(c_18312,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ iPr_def_16
    | ~ c0_1(a252) ),
    inference(instantiation,[status(thm)],[c_17965]) ).

tcf(c_18314,plain,
    ( c1_1(a238)
    | c3_1(a238)
    | ~ iPr_def_16
    | ~ c0_1(a238) ),
    inference(instantiation,[status(thm)],[c_17965]) ).

tcf(c_18335,plain,
    ( c0_1(a241)
    | ~ iPr_def_30
    | ~ c3_1(a241)
    | ~ c2_1(a241) ),
    inference(instantiation,[status(thm)],[c_17987]) ).

tcf(c_18343,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ iPr_def_16
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17965]) ).

tcf(c_18417,plain,
    ( c1_1(a269)
    | ~ iPr_def_15
    | ~ c3_1(a269)
    | ~ c0_1(a269) ),
    inference(instantiation,[status(thm)],[c_17964]) ).

tcf(c_18427,plain,
    ( hskp4
    | ~ c1_1(a246)
    | ~ c3_1(a246)
    | ~ c0_1(a246) ),
    inference(instantiation,[status(thm)],[c_618]) ).

tcf(c_18442,plain,
    ( c2_1(a249)
    | ~ iPr_def_10
    | ~ c1_1(a249)
    | ~ c3_1(a249) ),
    inference(instantiation,[status(thm)],[c_17957]) ).

tcf(c_18448,plain,
    ( c1_1(a269)
    | ~ iPr_def_32
    | ~ c3_1(a269)
    | ~ c2_1(a269) ),
    inference(instantiation,[status(thm)],[c_17990]) ).

tcf(c_18450,plain,
    ( c1_1(a257)
    | ~ iPr_def_32
    | ~ c3_1(a257)
    | ~ c2_1(a257) ),
    inference(instantiation,[status(thm)],[c_17990]) ).

tcf(c_18452,plain,
    ( c1_1(a245)
    | ~ iPr_def_32
    | ~ c3_1(a245)
    | ~ c2_1(a245) ),
    inference(instantiation,[status(thm)],[c_17990]) ).

tcf(c_18460,plain,
    ( c2_1(a258)
    | c0_1(a258)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_17972]) ).

tcf(c_18492,plain,
    ( c3_1(a263)
    | c2_1(a263)
    | c0_1(a263)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_17976]) ).

tcf(c_18493,plain,
    ( c3_1(a258)
    | c2_1(a258)
    | c0_1(a258)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_17976]) ).

tcf(c_18509,plain,
    ( c1_1(a244)
    | c3_1(a244)
    | c2_1(a244)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17979]) ).

tcf(c_18517,plain,
    ( c1_1(a263)
    | c3_1(a263)
    | c0_1(a263)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_18010]) ).

tcf(c_18556,plain,
    ( c1_1(a269)
    | c2_1(a269)
    | ~ iPr_def_19
    | ~ c3_1(a269) ),
    inference(instantiation,[status(thm)],[c_17969]) ).

tcf(c_18561,plain,
    ( c1_1(a244)
    | c2_1(a244)
    | ~ iPr_def_19
    | ~ c3_1(a244) ),
    inference(instantiation,[status(thm)],[c_17969]) ).

tcf(c_18562,plain,
    ( c1_1(a239)
    | c2_1(a239)
    | ~ iPr_def_19
    | ~ c3_1(a239) ),
    inference(instantiation,[status(thm)],[c_17969]) ).

tcf(c_18570,plain,
    ( c1_1(a251)
    | c3_1(a251)
    | ~ iPr_def_36
    | ~ c2_1(a251) ),
    inference(instantiation,[status(thm)],[c_18005]) ).

tcf(c_18571,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ iPr_def_36
    | ~ c2_1(a245) ),
    inference(instantiation,[status(thm)],[c_18005]) ).

tcf(c_18703,plain,
    ( c2_1(a271)
    | ~ iPr_def_31
    | ~ c1_1(a271)
    | ~ c0_1(a271) ),
    inference(instantiation,[status(thm)],[c_17988]) ).

tcf(c_18704,plain,
    ( c2_1(a259)
    | ~ iPr_def_31
    | ~ c1_1(a259)
    | ~ c0_1(a259) ),
    inference(instantiation,[status(thm)],[c_17988]) ).

tcf(c_18707,plain,
    ( c2_1(a238)
    | ~ iPr_def_31
    | ~ c1_1(a238)
    | ~ c0_1(a238) ),
    inference(instantiation,[status(thm)],[c_17988]) ).

tcf(c_18724,plain,
    ( c2_1(a259)
    | c0_1(a259)
    | ~ iPr_def_34
    | ~ c1_1(a259) ),
    inference(instantiation,[status(thm)],[c_17997]) ).

tcf(c_18725,plain,
    ( c2_1(a258)
    | c0_1(a258)
    | ~ iPr_def_34
    | ~ c1_1(a258) ),
    inference(instantiation,[status(thm)],[c_17997]) ).

tcf(c_18738,plain,
    ( c3_1(a245)
    | ~ iPr_def_29
    | ~ c2_1(a245)
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17985]) ).

tcf(c_18897,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18738,c_18725,c_18724,c_18707,c_18704,c_18703,c_18571,c_18570,c_18562,c_18561,c_18556,c_18517,c_18509,c_18493,c_18492,c_18460,c_18452,c_18450,c_18448,c_18442,c_18427,c_18417,c_18343,c_18335,c_18314,c_18312,c_18304,c_18301,c_18290,c_18273,c_18262,c_18237,c_18241,c_18228,c_18178,c_18159,c_18157,c_18154,c_18145,c_18138,c_18133,c_18129,c_18125,c_18121,c_18118,c_18117,c_18115,c_18113,c_18112,c_18109,c_18108,c_18107,c_18104,c_18099,c_18092,c_18062,c_18061,c_18059,c_18048,c_18047,c_18044,c_18043,c_18042,c_18029,c_18028,c_18025,c_18020,c_18019,c_18018,c_18015,c_18014,c_18012,c_18011,c_18008,c_18007,c_18006,c_18000,c_17999,c_17998,c_17994,c_17991,c_17982,c_17980,c_17977,c_17974,c_17971,c_17967,c_6358,c_6348,c_6338,c_3919,c_3896,c_3873,c_350,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_378,c_379,c_382,c_383,c_384,c_385,c_386,c_391,c_392,c_297,c_299,c_310,c_311,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_329,c_330,c_331,c_332,c_333,c_336,c_338,c_339,c_340,c_341,c_344]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN502-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n017.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 01:29:33 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running EPR theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 4.16/1.16  % SZS status Started for theBenchmark.p
% 4.16/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.16  
% 4.16/1.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.16/1.16  
% 4.16/1.16  % ------  iProver source info
% 4.16/1.16  
% 4.16/1.16  % git: date: 2026-07-19 20:42:38 +0200
% 4.16/1.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.16/1.16  % git: non_committed_changes: false
% 4.16/1.16  
% 4.16/1.16  % ------ Parsing...% successful
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.16/1.16  % 
% 4.16/1.16  
% 4.16/1.16  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.16/1.16  
% 4.16/1.16  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.16/1.16   gs_s  sp: 107 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.16/1.16  % ------ Proving...
% 4.16/1.16  % ------ Problem Properties 
% 4.16/1.16  
% 4.16/1.16  % 
% 4.16/1.16  % clauses                               204
% 4.16/1.16  % conjectures                           204
% 4.16/1.16  % EPR                                   204
% 4.16/1.16  % Horn                                  111
% 4.16/1.16  % unary                                 0
% 4.16/1.16  % binary                                96
% 4.16/1.16  % lits                                  549
% 4.16/1.16  % lits eq                               0
% 4.16/1.16  % fd_pure                               0
% 4.16/1.16  % fd_pseudo                             0
% 4.16/1.16  % fd_cond                               0
% 4.16/1.16  % fd_pseudo_cond                        0
% 4.16/1.16  % AC symbols                            0
% 4.16/1.16  
% 4.16/1.16  % ------ Schedule EPR non Horn non eq is on
% 4.16/1.16  
% 4.16/1.16  % ------ no equalities: superposition off 
% 4.16/1.16  
% 4.16/1.16  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  % ------ 
% 4.16/1.16  % Current options:
% 4.16/1.16  % ------ 
% 4.16/1.16  
% 4.16/1.16  
% 4.16/1.16  % 
% 4.16/1.16  
% 4.16/1.16  % ------ Proving...
% 4.16/1.16  % 
% 4.16/1.16  
% 4.16/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.16  
% 4.16/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.17  
% 4.16/1.17  
%------------------------------------------------------------------------------