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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN489-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.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 03:40:31 PM UTC 2026

% Result   : Unsatisfiable 7.30s 6.72s
% Output   : CNFRefutation 7.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  138
% Syntax   : Number of formulae    :  579 (   2 unt;   0 def)
%            Number of atoms       : 2558 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 3267 (1288   ~;1979   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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  :   65 (  64 usr;  61 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  408 (   0 sgn 408   !;   0   ?; 312   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp0
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( hskp27
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f10,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f34,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f37,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp16
    | hskp19
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f40,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f47,negated_conjecture,
    ( c1_1(a2556)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c2_1(a2556)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c3_1(a2556)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c0_1(a2529)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c2_1(a2529)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c3_1(a2529)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c1_1(a2614)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f56,negated_conjecture,
    ( c0_1(a2564)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c0_1(a2555)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c2_1(a2555)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c0_1(a2553)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c2_1(a2552)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a2551)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c1_1(a2551)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c2_1(a2549)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c0_1(a2548)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c3_1(a2548)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f69,negated_conjecture,
    ( c0_1(a2540)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c3_1(a2539)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c1_1(a2534)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c1_1(a2531)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c2_1(a2531)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c3_1(a2528)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c1_1(a2526)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c3_1(a2526)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a2525)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c2_1(a2525)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c1_1(a2524)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c3_1(a2524)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c0_1(a2523)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c1_1(a2523)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c2_1(a2522)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c3_1(a2522)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c2_1(a2521)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c3_1(a2521)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c1_1(a2518)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( c2_1(a2517)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a2614) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a2614) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f92,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a2552) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2552) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a2548) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f106,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a2539) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2539) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a2536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a2536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a2536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a2534) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2533) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a2533) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a2533) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a2531) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a2528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a2525) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a2524) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a2522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a2521) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a2519) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a2519) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2519) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a2518) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2516) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a2516) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a2516) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp23
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp20
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp25
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp22
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp25
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp24
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp24
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

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

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).

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

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

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

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

tcf(c_253,negated_conjecture,
    ( hskp0
    | hskp24 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_254,negated_conjecture,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_262,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_286,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_289,negated_conjecture,
    ( hskp2
    | hskp20
    | hskp21 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_290,negated_conjecture,
    ( hskp6
    | hskp16
    | hskp19 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_292,negated_conjecture,
    ( hskp2
    | hskp3
    | hskp27 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_299,negated_conjecture,
    ( c1_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_300,negated_conjecture,
    ( c2_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_301,negated_conjecture,
    ( c3_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_302,negated_conjecture,
    ( c0_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_303,negated_conjecture,
    ( c2_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_304,negated_conjecture,
    ( c3_1(a2529)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_305,negated_conjecture,
    ( c1_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_308,negated_conjecture,
    ( c0_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_309,negated_conjecture,
    ( c0_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_310,negated_conjecture,
    ( c2_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_311,negated_conjecture,
    ( c0_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_312,negated_conjecture,
    ( c2_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_313,negated_conjecture,
    ( c0_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_314,negated_conjecture,
    ( c1_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_315,negated_conjecture,
    ( c2_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_316,negated_conjecture,
    ( c0_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_317,negated_conjecture,
    ( c3_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_321,negated_conjecture,
    ( c0_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_322,negated_conjecture,
    ( c3_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_323,negated_conjecture,
    ( c1_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_324,negated_conjecture,
    ( c1_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_325,negated_conjecture,
    ( c2_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_326,negated_conjecture,
    ( c3_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_327,negated_conjecture,
    ( c1_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_328,negated_conjecture,
    ( c3_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_329,negated_conjecture,
    ( c0_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_330,negated_conjecture,
    ( c2_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_331,negated_conjecture,
    ( c1_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_332,negated_conjecture,
    ( c3_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_333,negated_conjecture,
    ( c0_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_334,negated_conjecture,
    ( c1_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_335,negated_conjecture,
    ( c2_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_336,negated_conjecture,
    ( c3_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_337,negated_conjecture,
    ( c2_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_338,negated_conjecture,
    ( c3_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_339,negated_conjecture,
    ( c1_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_340,negated_conjecture,
    ( c2_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a2614) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a2614) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2564) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a2552) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2552) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a2548) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2540) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a2539) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2539) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a2536) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a2536) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a2536) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a2534) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2533) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a2533) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a2533) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a2531) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a2528) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a2525) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a2524) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a2522) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a2521) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a2519) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_380,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a2519) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_381,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2519) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_382,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a2518) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_383,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_384,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_385,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_386,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2516) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_387,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a2516) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_388,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a2516) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp23
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp20
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp19
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp25
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp22
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp25
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp20
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_449,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_490,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_286,c_253,c_286,c_262]) ).

tcf(c_554,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_253,c_286,c_262,c_389]) ).

tcf(c_560,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp19
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_253,c_286,c_262,c_398]) ).

tcf(c_563,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp20
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_253,c_286,c_262,c_397]) ).

tcf(c_572,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp23
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_253,c_286,c_262,c_394]) ).

tcf(c_581,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_253,c_286,c_262,c_391]) ).

tcf(c_584,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_253,c_286,c_262,c_390]) ).

tcf(c_587,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp28
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_253,c_286,c_262,c_411]) ).

tcf(c_588,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp28
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_587]) ).

tcf(c_590,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp25
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_253,c_286,c_262,c_410]) ).

tcf(c_591,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp25
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_590]) ).

tcf(c_596,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_253,c_286,c_262,c_408]) ).

tcf(c_597,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_596]) ).

tcf(c_602,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_253,c_286,c_262,c_406]) ).

tcf(c_603,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_602]) ).

tcf(c_605,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp22
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_253,c_286,c_262,c_405]) ).

tcf(c_606,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp22
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_605]) ).

tcf(c_611,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp25
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_253,c_286,c_262,c_403]) ).

tcf(c_612,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp25
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_611]) ).

tcf(c_620,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_253,c_286,c_262,c_400]) ).

tcf(c_621,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_620]) ).

tcf(c_626,plain,
    ! [X0: $i] :
      ( hskp6
      | hskp20
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_253,c_286,c_262,c_412]) ).

tcf(c_627,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp20
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_626]) ).

tcf(c_629,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_253,c_286,c_262,c_417]) ).

tcf(c_632,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_253,c_286,c_262,c_416]) ).

tcf(c_635,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_253,c_286,c_262,c_415]) ).

tcf(c_637,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_253,c_286,c_262,c_414]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_253,c_286,c_262,c_426]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_643,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_253,c_286,c_262,c_425,c_435]) ).

tcf(c_644,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_643]) ).

tcf(c_647,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_253,c_286,c_262,c_423]) ).

tcf(c_648,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_647]) ).

tcf(c_649,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_253,c_286,c_262,c_422]) ).

tcf(c_650,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_649]) ).

tcf(c_651,plain,
    ( hskp11
    | c2_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_650]) ).

tcf(c_652,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_253,c_286,c_262,c_421]) ).

tcf(c_653,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_652]) ).

tcf(c_655,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_253,c_286,c_262,c_420]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_655]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_253,c_286,c_262,c_419]) ).

tcf(c_658,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_657]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_253,c_286,c_262,c_436]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_664,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_644]) ).

tcf(c_666,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_253,c_286,c_262,c_434]) ).

tcf(c_667,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_666]) ).

tcf(c_668,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_253,c_286,c_262,c_433]) ).

tcf(c_669,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_668]) ).

tcf(c_670,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_253,c_286,c_262,c_432]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_670]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_253,c_286,c_262,c_431]) ).

tcf(c_673,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_672]) ).

tcf(c_674,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_253,c_286,c_262,c_430]) ).

tcf(c_675,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_674]) ).

tcf(c_678,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_253,c_286,c_262,c_428]) ).

tcf(c_679,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_678]) ).

tcf(c_680,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_253,c_286,c_262,c_427]) ).

tcf(c_681,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_680]) ).

tcf(c_682,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_253,c_286,c_262,c_441]) ).

tcf(c_683,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_682]) ).

tcf(c_684,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_253,c_286,c_262,c_440]) ).

tcf(c_685,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_684]) ).

tcf(c_686,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_253,c_286,c_262,c_439]) ).

tcf(c_687,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_686]) ).

tcf(c_690,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_253,c_286,c_262,c_437]) ).

tcf(c_691,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_690]) ).

tcf(c_694,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_253,c_286,c_262,c_444]) ).

tcf(c_695,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_694]) ).

tcf(c_698,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_253,c_286,c_262,c_442]) ).

tcf(c_699,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_698]) ).

tcf(c_703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_449,c_253,c_286,c_262,c_449]) ).

tcf(c_704,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_703]) ).

tcf(c_705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_253,c_286,c_262,c_448]) ).

tcf(c_706,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_705]) ).

tcf(c_707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_253,c_286,c_262,c_447]) ).

tcf(c_708,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_707]) ).

tcf(c_709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_453,c_453,c_490]) ).

tcf(c_710,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_709]) ).

tcf(c_711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_452,c_253,c_286,c_262,c_452]) ).

tcf(c_712,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_711]) ).

tcf(c_713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_451,c_253,c_286,c_262,c_451]) ).

tcf(c_714,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_713]) ).

tcf(c_715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_450,c_253,c_286,c_262,c_450]) ).

tcf(c_716,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_715]) ).

tcf(c_717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_455,c_253,c_286,c_262,c_455]) ).

tcf(c_718,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_717]) ).

tcf(c_719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_454,c_253,c_286,c_262,c_454]) ).

tcf(c_720,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_719]) ).

tcf(c_721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_456,c_253,c_286,c_262,c_456]) ).

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

tcf(c_2068,plain,
    ( hskp2
    | hskp3
    | ~ c3_1(a2614) ),
    inference(resolution,[status(thm)],[c_292,c_342]) ).

tcf(c_2078,plain,
    ( hskp2
    | hskp3
    | ~ c2_1(a2614) ),
    inference(resolution,[status(thm)],[c_292,c_341]) ).

tcf(c_2088,plain,
    ( hskp2
    | hskp3
    | c1_1(a2614) ),
    inference(resolution,[status(thm)],[c_292,c_305]) ).

tcf(c_2098,plain,
    ( hskp23
    | ~ c3_1(a2614) ),
    inference(resolution,[status(thm)],[c_254,c_342]) ).

tcf(c_2105,plain,
    ( hskp23
    | ~ c2_1(a2614) ),
    inference(resolution,[status(thm)],[c_254,c_341]) ).

tcf(c_2112,plain,
    ( hskp23
    | c1_1(a2614) ),
    inference(resolution,[status(thm)],[c_254,c_305]) ).

tcf(c_2287,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(a2531)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_650,c_370]) ).

tcf(c_2288,plain,
    ( c2_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c3_1(a2516)
    | ~ c3_1(a2531) ),
    inference(instantiation,[status(thm)],[c_2287]) ).

tcf(c_2310,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(a2531)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_650,c_325]) ).

tcf(c_2311,plain,
    ( c2_1(a2516)
    | c2_1(a2531)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_2310]) ).

tcf(c_3319,plain,
    ! [X0: $i] :
      ( hskp20
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(a2548) ),
    inference(resolution,[status(thm)],[c_554,c_354]) ).

tcf(c_3320,plain,
    ( hskp20
    | c2_1(a2516)
    | c3_1(a2516)
    | c1_1(a2516)
    | ~ c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_3319]) ).

tcf(c_3336,plain,
    ! [X0: $i] :
      ( hskp20
      | c3_1(a2548)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_554,c_317]) ).

tcf(c_3337,plain,
    ( hskp20
    | c2_1(a2516)
    | c3_1(a2516)
    | c3_1(a2548)
    | c1_1(a2516) ),
    inference(instantiation,[status(thm)],[c_3336]) ).

tcf(c_3353,plain,
    ! [X0: $i] :
      ( hskp20
      | c0_1(a2548)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_554,c_316]) ).

tcf(c_3354,plain,
    ( hskp20
    | c2_1(a2516)
    | c3_1(a2516)
    | c1_1(a2516)
    | c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_3353]) ).

tcf(c_3962,plain,
    ( hskp6
    | hskp19
    | ~ c2_1(a2540) ),
    inference(resolution,[status(thm)],[c_290,c_358]) ).

tcf(c_3972,plain,
    ( hskp6
    | hskp19
    | c0_1(a2540) ),
    inference(resolution,[status(thm)],[c_290,c_321]) ).

tcf(c_5503,plain,
    ! [X0: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(a2524)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_584,c_375]) ).

tcf(c_5504,plain,
    ( hskp6
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c2_1(a2524)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_5503]) ).

tcf(c_5537,plain,
    ! [X0: $i] :
      ( hskp6
      | c1_1(a2524)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_584,c_331]) ).

tcf(c_5538,plain,
    ( hskp6
    | c1_1(a2516)
    | c1_1(a2524)
    | c0_1(a2516)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_5537]) ).

tcf(c_6106,plain,
    ( hskp2
    | hskp21
    | ~ c1_1(a2549) ),
    inference(resolution,[status(thm)],[c_289,c_353]) ).

tcf(c_6116,plain,
    ( hskp2
    | hskp21
    | ~ c0_1(a2549) ),
    inference(resolution,[status(thm)],[c_289,c_352]) ).

tcf(c_6126,plain,
    ( hskp2
    | hskp21
    | c2_1(a2549) ),
    inference(resolution,[status(thm)],[c_289,c_315]) ).

tcf(c_8530,plain,
    ( hskp24
    | ~ c2_1(a2516) ),
    inference(resolution,[status(thm)],[c_253,c_388]) ).

tcf(c_8537,plain,
    ( hskp24
    | ~ c1_1(a2516) ),
    inference(resolution,[status(thm)],[c_253,c_387]) ).

tcf(c_8544,plain,
    ( hskp24
    | ~ c0_1(a2516) ),
    inference(resolution,[status(thm)],[c_253,c_386]) ).

tcf(c_8936,plain,
    ( hskp2
    | hskp20
    | c1_1(a2551) ),
    inference(resolution,[status(thm)],[c_289,c_314]) ).

tcf(c_8946,plain,
    ( hskp2
    | hskp20
    | c0_1(a2551) ),
    inference(resolution,[status(thm)],[c_289,c_313]) ).

tcf(c_17241,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_722]) ).

tcf(c_17242,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_722]) ).

tcf(c_17243,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_722]) ).

tcf(c_17244,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_722]) ).

tcf(c_17245,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_720]) ).

tcf(c_17246,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_720]) ).

tcf(c_17248,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_718]) ).

tcf(c_17249,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_718]) ).

tcf(c_17250,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_718]) ).

tcf(c_17251,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_718]) ).

tcf(c_17252,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_716]) ).

tcf(c_17253,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_716]) ).

tcf(c_17254,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_716]) ).

tcf(c_17255,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_714]) ).

tcf(c_17256,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_714]) ).

tcf(c_17257,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_712]) ).

tcf(c_17258,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_712]) ).

tcf(c_17259,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_710]) ).

tcf(c_17260,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_710]) ).

tcf(c_17261,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_710]) ).

tcf(c_17262,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_710]) ).

tcf(c_17263,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_708]) ).

tcf(c_17264,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_708]) ).

tcf(c_17265,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_708]) ).

tcf(c_17266,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_708]) ).

tcf(c_17267,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_706]) ).

tcf(c_17268,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_706]) ).

tcf(c_17269,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_706]) ).

tcf(c_17270,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_704]) ).

tcf(c_17271,negated_conjecture,
    ( iPr_def_30
    | iPr_def_18
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_704]) ).

tcf(c_17273,negated_conjecture,
    ( iPr_def_11
    | iPr_def_10
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_699]) ).

tcf(c_17275,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_695]) ).

tcf(c_17276,negated_conjecture,
    ( iPr_def_31
    | iPr_def_12
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_695]) ).

tcf(c_17278,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_691]) ).

tcf(c_17279,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_691]) ).

tcf(c_17282,negated_conjecture,
    ( iPr_def_21
    | iPr_def_17
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_687]) ).

tcf(c_17283,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_685]) ).

tcf(c_17284,negated_conjecture,
    ( iPr_def_34
    | iPr_def_21
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_685]) ).

tcf(c_17285,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_683]) ).

tcf(c_17286,negated_conjecture,
    ( iPr_def_35
    | iPr_def_10
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).

tcf(c_17287,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_681]) ).

tcf(c_17288,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_679]) ).

tcf(c_17289,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_679]) ).

tcf(c_17291,negated_conjecture,
    ( iPr_def_25
    | iPr_def_20
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).

tcf(c_17292,negated_conjecture,
    ( iPr_def_36
    | iPr_def_29
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).

tcf(c_17293,negated_conjecture,
    ( iPr_def_23
    | iPr_def_18
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).

tcf(c_17294,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_669]) ).

tcf(c_17296,negated_conjecture,
    ( iPr_def_34
    | iPr_def_16
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).

tcf(c_17297,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).

tcf(c_17300,negated_conjecture,
    ( iPr_def_26
    | iPr_def_13
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).

tcf(c_17301,negated_conjecture,
    ( iPr_def_32
    | iPr_def_30
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).

tcf(c_17302,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_653]) ).

tcf(c_17303,negated_conjecture,
    ( iPr_def_39
    | iPr_def_37
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_653]) ).

tcf(c_17304,negated_conjecture,
    ( iPr_def_16
    | iPr_def_14
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).

tcf(c_17305,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_648]) ).

tcf(c_17308,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_664]) ).

tcf(c_17309,negated_conjecture,
    ( iPr_def_41
    | iPr_def_35
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).

tcf(c_17310,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_17311,negated_conjecture,
    ( iPr_def_26
    | iPr_def_19
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_637]) ).

tcf(c_17312,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_635]) ).

tcf(c_17313,negated_conjecture,
    ( iPr_def_42
    | iPr_def_23
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).

tcf(c_17314,negated_conjecture,
    ( iPr_def_42
    | iPr_def_37
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).

tcf(c_17315,negated_conjecture,
    ( iPr_def_42
    | iPr_def_37
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_17316,negated_conjecture,
    ( iPr_def_12
    | hskp6
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).

tcf(c_17318,negated_conjecture,
    ( iPr_def_18
    | hskp4
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_621]) ).

tcf(c_17321,negated_conjecture,
    ( iPr_def_13
    | hskp3
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).

tcf(c_17323,negated_conjecture,
    ( iPr_def_21
    | hskp5
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

tcf(c_17324,negated_conjecture,
    ( iPr_def_22
    | hskp7
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_603]) ).

tcf(c_17326,negated_conjecture,
    ( iPr_def_36
    | hskp25
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).

tcf(c_17328,negated_conjecture,
    ( iPr_def_20
    | hskp20
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).

tcf(c_17329,negated_conjecture,
    ( iPr_def_34
    | hskp1
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_588]) ).

tcf(c_17331,negated_conjecture,
    ( iPr_def_39
    | hskp3
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_581]) ).

tcf(c_17334,negated_conjecture,
    ( iPr_def_23
    | hskp1
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).

tcf(c_17337,negated_conjecture,
    ( iPr_def_30
    | hskp14
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).

tcf(c_17338,negated_conjecture,
    ( iPr_def_35
    | hskp16
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_560]) ).

tcf(c_17340,negated_conjecture,
    ( iPr_def_40
    | hskp19
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_554]) ).

tcf(c_17341,plain,
    ( c1_1(a2516)
    | ~ iPr_def_41
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17308]) ).

tcf(c_17342,plain,
    ( c3_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17264]) ).

tcf(c_17344,plain,
    ( c2_1(a2516)
    | c3_1(a2516)
    | c1_1(a2516)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17305]) ).

tcf(c_17345,plain,
    ( c2_1(a2516)
    | c3_1(a2516)
    | c0_1(a2516)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17312]) ).

tcf(c_17354,plain,
    ( c1_1(a2516)
    | c0_1(a2516)
    | ~ iPr_def_32
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17278]) ).

tcf(c_17374,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2551)
    | ~ c1_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17241]) ).

tcf(c_17381,plain,
    ( c2_1(a2548)
    | c1_1(a2548)
    | ~ iPr_def_16
    | ~ c3_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_17382,plain,
    ( c2_1(a2528)
    | c1_1(a2528)
    | ~ iPr_def_16
    | ~ c3_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_17389,plain,
    ( c1_1(a2549)
    | c0_1(a2549)
    | ~ iPr_def_19
    | ~ c2_1(a2549) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_17392,plain,
    ( c1_1(a2522)
    | c0_1(a2522)
    | ~ iPr_def_19
    | ~ c2_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_17393,plain,
    ( c1_1(a2521)
    | c0_1(a2521)
    | ~ iPr_def_19
    | ~ c2_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_17395,plain,
    ( c1_1(a2548)
    | ~ iPr_def_21
    | ~ c3_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_17399,plain,
    ( c1_1(a2521)
    | ~ iPr_def_21
    | ~ c3_1(a2521)
    | ~ c0_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_17404,plain,
    ( c1_1(a2522)
    | ~ iPr_def_22
    | ~ c2_1(a2522)
    | ~ c3_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_17405,plain,
    ( c1_1(a2521)
    | ~ iPr_def_22
    | ~ c2_1(a2521)
    | ~ c3_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_17411,plain,
    ( c3_1(a2518)
    | c0_1(a2518)
    | ~ iPr_def_25
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17263]) ).

tcf(c_17412,plain,
    ( c2_1(a2551)
    | c3_1(a2551)
    | ~ iPr_def_37
    | ~ c1_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

tcf(c_17416,plain,
    ( c2_1(a2523)
    | c3_1(a2523)
    | ~ iPr_def_37
    | ~ c1_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

tcf(c_17417,plain,
    ( c2_1(a2518)
    | c3_1(a2518)
    | ~ iPr_def_37
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

tcf(c_17424,plain,
    ( ~ iPr_def_15
    | ~ c2_1(a2522)
    | ~ c3_1(a2522)
    | ~ c1_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

tcf(c_17426,plain,
    ( c3_1(a2549)
    | c1_1(a2549)
    | c0_1(a2549)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17264]) ).

tcf(c_17428,plain,
    ( c3_1(a2536)
    | c1_1(a2536)
    | c0_1(a2536)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17264]) ).

tcf(c_17433,plain,
    ( c3_1(a2519)
    | c1_1(a2519)
    | c0_1(a2519)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17264]) ).

tcf(c_17447,plain,
    ( c3_1(a2531)
    | ~ iPr_def_34
    | ~ c2_1(a2531)
    | ~ c1_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17283]) ).

tcf(c_17459,plain,
    ( ~ iPr_def_12
    | ~ c2_1(a2529)
    | ~ c3_1(a2529)
    | ~ c0_1(a2529) ),
    inference(instantiation,[status(thm)],[c_17243]) ).

tcf(c_17464,plain,
    ( ~ iPr_def_12
    | ~ c2_1(a2521)
    | ~ c3_1(a2521)
    | ~ c0_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17243]) ).

tcf(c_17467,plain,
    ( c0_1(a2531)
    | ~ iPr_def_18
    | ~ c2_1(a2531)
    | ~ c1_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_17472,plain,
    ( c1_1(a2528)
    | c0_1(a2528)
    | ~ iPr_def_32
    | ~ c3_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17278]) ).

tcf(c_17486,plain,
    ( c0_1(a2556)
    | ~ iPr_def_11
    | ~ c2_1(a2556)
    | ~ c3_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17489,plain,
    ( c0_1(a2528)
    | ~ iPr_def_11
    | ~ c2_1(a2528)
    | ~ c3_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17490,plain,
    ( c0_1(a2526)
    | ~ iPr_def_11
    | ~ c2_1(a2526)
    | ~ c3_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17491,plain,
    ( c0_1(a2522)
    | ~ iPr_def_11
    | ~ c2_1(a2522)
    | ~ c3_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17492,plain,
    ( c0_1(a2521)
    | ~ iPr_def_11
    | ~ c2_1(a2521)
    | ~ c3_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17524,plain,
    ( c0_1(a2549)
    | ~ iPr_def_11
    | ~ c2_1(a2549)
    | ~ c3_1(a2549) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17598,plain,
    ( c2_1(a2519)
    | c3_1(a2519)
    | ~ iPr_def_37
    | ~ c1_1(a2519) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

tcf(c_17603,plain,
    ( c0_1(a2518)
    | ~ iPr_def_18
    | ~ c2_1(a2518)
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_17604,plain,
    ( c3_1(a2518)
    | ~ iPr_def_34
    | ~ c2_1(a2518)
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17283]) ).

tcf(c_17668,plain,
    ( c3_1(a2553)
    | c1_1(a2553)
    | ~ iPr_def_30
    | ~ c0_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17270]) ).

tcf(c_17669,plain,
    ( c3_1(a2552)
    | c1_1(a2552)
    | ~ iPr_def_30
    | ~ c0_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17270]) ).

tcf(c_17670,plain,
    ( c3_1(a2540)
    | c1_1(a2540)
    | ~ iPr_def_30
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17270]) ).

tcf(c_17674,plain,
    ( c3_1(a2525)
    | c1_1(a2525)
    | ~ iPr_def_30
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17270]) ).

tcf(c_17683,plain,
    ( c2_1(a2614)
    | c3_1(a2614)
    | ~ iPr_def_37
    | ~ c1_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

tcf(c_17684,plain,
    ( c3_1(a2614)
    | c0_1(a2614)
    | ~ iPr_def_25
    | ~ c1_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17263]) ).

tcf(c_17692,plain,
    ( c0_1(a2518)
    | ~ iPr_def_11
    | ~ c2_1(a2518)
    | ~ c3_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17242]) ).

tcf(c_17693,plain,
    ( c3_1(a2551)
    | ~ iPr_def_17
    | ~ c1_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_17695,plain,
    ( c2_1(a2551)
    | ~ iPr_def_36
    | ~ c1_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_17709,plain,
    ( c3_1(a2523)
    | ~ iPr_def_17
    | ~ c1_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_17711,plain,
    ( c2_1(a2523)
    | ~ iPr_def_36
    | ~ c1_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_17718,plain,
    ( c1_1(a2555)
    | ~ iPr_def_13
    | ~ c2_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17245]) ).

tcf(c_17719,plain,
    ( c1_1(a2552)
    | ~ iPr_def_13
    | ~ c2_1(a2552)
    | ~ c0_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17245]) ).

tcf(c_17721,plain,
    ( c1_1(a2525)
    | ~ iPr_def_13
    | ~ c2_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17245]) ).

tcf(c_17731,plain,
    ( c2_1(a2539)
    | c0_1(a2539)
    | ~ iPr_def_14
    | ~ c3_1(a2539) ),
    inference(instantiation,[status(thm)],[c_17246]) ).

tcf(c_17733,plain,
    ( c2_1(a2528)
    | c0_1(a2528)
    | ~ iPr_def_14
    | ~ c3_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17246]) ).

tcf(c_17734,plain,
    ( c2_1(a2526)
    | c0_1(a2526)
    | ~ iPr_def_14
    | ~ c3_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17246]) ).

tcf(c_17746,plain,
    ( c3_1(a2555)
    | ~ iPr_def_20
    | ~ c2_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17747,plain,
    ( c3_1(a2552)
    | ~ iPr_def_20
    | ~ c2_1(a2552)
    | ~ c0_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17748,plain,
    ( c3_1(a2531)
    | ~ iPr_def_20
    | ~ c2_1(a2531)
    | ~ c0_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17749,plain,
    ( c3_1(a2525)
    | ~ iPr_def_20
    | ~ c2_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17752,plain,
    ( c1_1(a2555)
    | ~ iPr_def_22
    | ~ c2_1(a2555)
    | ~ c3_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_17761,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a2525)
    | ~ c1_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

tcf(c_17764,plain,
    ( c2_1(a2614)
    | c0_1(a2614)
    | ~ iPr_def_39
    | ~ c1_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_17767,plain,
    ( c2_1(a2534)
    | c0_1(a2534)
    | ~ iPr_def_39
    | ~ c1_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_17768,plain,
    ( c2_1(a2526)
    | c0_1(a2526)
    | ~ iPr_def_39
    | ~ c1_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_17770,plain,
    ( c2_1(a2518)
    | c0_1(a2518)
    | ~ iPr_def_39
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_17779,plain,
    ( c2_1(a2533)
    | c3_1(a2533)
    | c1_1(a2533)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17305]) ).

tcf(c_17787,plain,
    ( c3_1(a2552)
    | c1_1(a2552)
    | ~ iPr_def_28
    | ~ c2_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17267]) ).

tcf(c_17794,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a2523)
    | ~ c1_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

tcf(c_17796,plain,
    ( c3_1(a2523)
    | ~ iPr_def_20
    | ~ c2_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17847,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a2556)
    | ~ c1_1(a2556)
    | ~ c0_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

tcf(c_17872,plain,
    ( c3_1(a2517)
    | c1_1(a2517)
    | ~ iPr_def_28
    | ~ c2_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17267]) ).

tcf(c_17876,plain,
    ( c1_1(a2517)
    | c0_1(a2517)
    | ~ iPr_def_19
    | ~ c2_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_17913,plain,
    ( c2_1(a2553)
    | c3_1(a2553)
    | ~ iPr_def_35
    | ~ c0_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17285]) ).

tcf(c_17924,plain,
    ( c2_1(a2548)
    | c1_1(a2548)
    | ~ iPr_def_23
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17260]) ).

tcf(c_17925,plain,
    ( c2_1(a2540)
    | c1_1(a2540)
    | ~ iPr_def_23
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17260]) ).

tcf(c_18008,plain,
    ( c0_1(a2522)
    | ~ iPr_def_18
    | ~ c2_1(a2522)
    | ~ c1_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_18121,plain,
    ( c2_1(a2614)
    | c3_1(a2614)
    | ~ iPr_def_35
    | ~ c0_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17285]) ).

tcf(c_18153,plain,
    ( c2_1(a2564)
    | c1_1(a2564)
    | ~ iPr_def_23
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17260]) ).

tcf(c_18154,plain,
    ( c2_1(a2564)
    | c3_1(a2564)
    | ~ iPr_def_35
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17285]) ).

tcf(c_18251,plain,
    ( c1_1(a2555)
    | ~ iPr_def_21
    | ~ c3_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_18259,plain,
    ( c1_1(a2553)
    | ~ iPr_def_13
    | ~ c2_1(a2553)
    | ~ c0_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17245]) ).

tcf(c_18296,plain,
    ( c3_1(a2525)
    | ~ iPr_def_17
    | ~ c1_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_18353,plain,
    ( c1_1(a2528)
    | c0_1(a2528)
    | ~ iPr_def_19
    | ~ c2_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_18368,plain,
    ( c2_1(a2564)
    | c1_1(a2564)
    | ~ iPr_def_16
    | ~ c3_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_18369,plain,
    ( c1_1(a2564)
    | ~ iPr_def_21
    | ~ c3_1(a2564)
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_18410,plain,
    ( c3_1(a2540)
    | ~ iPr_def_17
    | ~ c1_1(a2540)
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_18412,plain,
    ( c2_1(a2540)
    | ~ iPr_def_36
    | ~ c1_1(a2540)
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_18502,plain,
    ( c3_1(a2552)
    | c0_1(a2552)
    | ~ iPr_def_29
    | ~ c2_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17268]) ).

tcf(c_18508,plain,
    ( c3_1(a2517)
    | c0_1(a2517)
    | ~ iPr_def_29
    | ~ c2_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17268]) ).

tcf(c_18521,plain,
    ( c2_1(a2524)
    | c0_1(a2524)
    | ~ iPr_def_39
    | ~ c1_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_18523,plain,
    ( c2_1(a2524)
    | ~ iPr_def_31
    | ~ c3_1(a2524)
    | ~ c1_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17275]) ).

tcf(c_18524,plain,
    ( c2_1(a2524)
    | ~ iPr_def_36
    | ~ c1_1(a2524)
    | ~ c0_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_18529,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2524)
    | ~ c1_1(a2524)
    | ~ c0_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17241]) ).

tcf(c_18535,plain,
    ( c3_1(a2555)
    | c1_1(a2555)
    | ~ iPr_def_30
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17270]) ).

tcf(c_18552,plain,
    ( ~ iPr_def_12
    | ~ c2_1(a2555)
    | ~ c3_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17243]) ).

tcf(c_18553,plain,
    ( ~ iPr_def_12
    | ~ c2_1(a2548)
    | ~ c3_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17243]) ).

tcf(c_18663,plain,
    ( c1_1(a2548)
    | ~ iPr_def_13
    | ~ c2_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17245]) ).

tcf(c_18689,plain,
    ( c3_1(a2564)
    | c1_1(a2564)
    | ~ iPr_def_30
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17270]) ).

tcf(c_18714,plain,
    ( c0_1(a2517)
    | ~ iPr_def_18
    | ~ c2_1(a2517)
    | ~ c1_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_18715,plain,
    ( c3_1(a2517)
    | ~ iPr_def_34
    | ~ c2_1(a2517)
    | ~ c1_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17283]) ).

tcf(c_18717,plain,
    ( c3_1(a2517)
    | c0_1(a2517)
    | ~ iPr_def_25
    | ~ c1_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17263]) ).

tcf(c_18728,plain,
    ( c2_1(a2614)
    | c3_1(a2614)
    | c0_1(a2614)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17312]) ).

tcf(c_18736,plain,
    ( c2_1(a2519)
    | c3_1(a2519)
    | c0_1(a2519)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17312]) ).

tcf(c_18737,plain,
    ( c2_1(a2518)
    | c3_1(a2518)
    | c0_1(a2518)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17312]) ).

tcf(c_18741,plain,
    ( c2_1(a2564)
    | ~ iPr_def_24
    | ~ c3_1(a2564)
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17261]) ).

tcf(c_18743,plain,
    ( c2_1(a2551)
    | ~ iPr_def_24
    | ~ c3_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17261]) ).

tcf(c_18755,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18743,c_18741,c_18737,c_18736,c_18728,c_18714,c_18715,c_18717,c_18689,c_18663,c_18553,c_18552,c_18535,c_18521,c_18523,c_18524,c_18529,c_18508,c_18502,c_18410,c_18412,c_18368,c_18369,c_18353,c_18296,c_18259,c_18251,c_18153,c_18154,c_18121,c_18008,c_17925,c_17924,c_17913,c_17872,c_17876,c_17847,c_17794,c_17796,c_17787,c_17779,c_17770,c_17768,c_17767,c_17764,c_17761,c_17752,c_17749,c_17748,c_17747,c_17746,c_17734,c_17733,c_17731,c_17721,c_17719,c_17718,c_17709,c_17711,c_17693,c_17695,c_17692,c_17683,c_17684,c_17674,c_17670,c_17669,c_17668,c_17603,c_17604,c_17598,c_17524,c_17492,c_17491,c_17490,c_17489,c_17486,c_17472,c_17467,c_17464,c_17459,c_17447,c_17433,c_17428,c_17426,c_17424,c_17417,c_17416,c_17412,c_17411,c_17405,c_17404,c_17399,c_17395,c_17393,c_17392,c_17389,c_17382,c_17381,c_17374,c_17354,c_17345,c_17344,c_17342,c_17341,c_17340,c_17338,c_17337,c_17334,c_17331,c_17329,c_17328,c_17326,c_17324,c_17323,c_17321,c_17318,c_17316,c_17315,c_17314,c_17313,c_17311,c_17310,c_17309,c_17304,c_17303,c_17301,c_17300,c_17297,c_17296,c_17293,c_17292,c_17291,c_17289,c_17287,c_17286,c_17284,c_17282,c_17279,c_17276,c_17273,c_17271,c_17269,c_17266,c_17262,c_17258,c_17256,c_17254,c_17251,c_17244,c_8946,c_8936,c_8544,c_8537,c_8530,c_6126,c_6116,c_6106,c_5538,c_5504,c_3972,c_3962,c_3354,c_3337,c_3320,c_2311,c_2288,c_2112,c_2105,c_2098,c_2088,c_2078,c_2068,c_651,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_377,c_378,c_379,c_380,c_381,c_382,c_383,c_384,c_385,c_386,c_387,c_388,c_299,c_300,c_301,c_302,c_303,c_304,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_338,c_339,c_340]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN489-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.38  % Computer : n006.cluster.edu
% 0.08/5.38  % Model    : x86_64 x86_64
% 0.08/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.38  % Memory   : 8046.5625MB
% 0.08/5.38  % OS       : Linux 6.8.0-71-generic
% 0.08/5.38  % CPULimit : 300
% 0.08/5.38  % WCLimit  : 300
% 0.08/5.38  % DateTime : Fri Sep 25 01:31:37 UTC 2026
% 0.08/5.38  % CPUTime  : 
% 0.08/5.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42  Running EPR theorem proving
% 0.14/5.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.43  
% 0.14/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43  
% 0.14/5.43  % Detected problem language: tptp
% 0.14/5.44  % Proving...
% 7.30/6.72  % SZS status Started for theBenchmark.p
% 7.30/6.72  % SZS status Unsatisfiable for theBenchmark.p
% 7.30/6.72  
% 7.30/6.72  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.30/6.72  
% 7.30/6.72  % ------  iProver source info
% 7.30/6.72  
% 7.30/6.72  % git: date: 2026-07-19 20:42:38 +0200
% 7.30/6.72  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.30/6.72  % git: non_committed_changes: false
% 7.30/6.72  
% 7.30/6.72  % ------ Parsing...% successful
% 7.30/6.72  
% 7.30/6.72  
% 7.30/6.72  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 7.30/6.72  % 
% 7.30/6.72  
% 7.30/6.72  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 7.30/6.72  
% 7.30/6.72  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 7.30/6.72   gs_s  sp: 119 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.30/6.72  % ------ Proving...
% 7.30/6.72  % ------ Problem Properties 
% 7.30/6.72  
% 7.30/6.72  % 
% 7.30/6.72  % clauses                               203
% 7.30/6.72  % conjectures                           200
% 7.30/6.72  % EPR                                   203
% 7.30/6.72  % Horn                                  110
% 7.30/6.72  % unary                                 0
% 7.30/6.72  % binary                                95
% 7.30/6.72  % lits                                  546
% 7.30/6.72  % lits eq                               0
% 7.30/6.72  % fd_pure                               0
% 7.30/6.72  % fd_pseudo                             0
% 7.30/6.72  % fd_cond                               0
% 7.30/6.72  % fd_pseudo_cond                        0
% 7.30/6.72  % AC symbols                            0
% 7.30/6.72  
% 7.30/6.72  % ------ Schedule EPR non Horn non eq is on
% 7.30/6.72  
% 7.30/6.72  % ------ no equalities: superposition off 
% 7.30/6.72  
% 7.30/6.72  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 7.30/6.72  
% 7.30/6.72  
% 7.30/6.72  % ------ 
% 7.30/6.72  % Current options:
% 7.30/6.72  % ------ 
% 7.30/6.72  
% 7.30/6.72  
% 7.30/6.72  % 
% 7.30/6.72  
% 7.30/6.72  % ------ Proving...
% 7.30/6.72  % 
% 7.30/6.72  
% 7.30/6.72  % SZS status Unsatisfiable for theBenchmark.p
% 7.30/6.72  
% 7.30/6.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.30/6.74  
% 7.30/6.74  
%------------------------------------------------------------------------------