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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN480-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.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 03:40:27 PM UTC 2026

% Result   : Unsatisfiable 6.57s 1.60s
% Output   : CNFRefutation 6.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  114
% Syntax   : Number of formulae    :  463 (   2 unt;   0 def)
%            Number of atoms       : 2092 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2736 (1107   ~;1629   |;   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  :   58 (  57 usr;  54 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  355 (   0 sgn 355   !;   0   ?; 271   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f28,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f31,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

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

fof(f34,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp15
    | hskp20
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f39,negated_conjecture,
    ( hskp26
    | hskp3
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f44,negated_conjecture,
    ( c0_1(a1546)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c1_1(a1546)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c3_1(a1546)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c0_1(a1544)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c1_1(a1544)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c2_1(a1544)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c1_1(a1542)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c2_1(a1542)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c3_1(a1542)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f55,negated_conjecture,
    ( c0_1(a1593)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( c3_1(a1593)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c2_1(a1581)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c2_1(a1575)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c1_1(a1574)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c3_1(a1574)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a1573)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c2_1(a1572)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c3_1(a1572)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f66,negated_conjecture,
    ( c3_1(a1566)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c1_1(a1565)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c0_1(a1558)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c1_1(a1558)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c1_1(a1556)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c2_1(a1556)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f76,negated_conjecture,
    ( c0_1(a1549)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a1549)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c0_1(a1547)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c1_1(a1547)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c2_1(a1545)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c0_1(a1543)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c1_1(a1539)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c3_1(a1539)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c1_1(a1536)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f86,negated_conjecture,
    ( c0_1(a1534)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c2_1(a1534)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f92,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1624) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f99,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a1593) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1581) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a1581) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1575) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1575) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1574) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1573) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1573) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a1572) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f110,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a1566) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a1565) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1565) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1558) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1556) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f117,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1549) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f121,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1547) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1545) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1545) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1543) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1543) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a1539) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1538) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f134,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a1534) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp30
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp18
      | hskp8
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp8
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp28
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp14
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp28
      | hskp1
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp21
      | hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp10
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( hskp22
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp31
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

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

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

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

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

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

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

tcf(c_270,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_280,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_283,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_284,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_286,negated_conjecture,
    ( hskp1
    | hskp4
    | hskp14 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_287,negated_conjecture,
    ( hskp14
    | hskp15
    | hskp20 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_291,negated_conjecture,
    ( hskp3
    | hskp23
    | hskp26 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_296,negated_conjecture,
    ( c0_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_297,negated_conjecture,
    ( c1_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_298,negated_conjecture,
    ( c3_1(a1546)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_299,negated_conjecture,
    ( c0_1(a1544)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_300,negated_conjecture,
    ( c1_1(a1544)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_301,negated_conjecture,
    ( c2_1(a1544)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_303,negated_conjecture,
    ( c2_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_304,negated_conjecture,
    ( c3_1(a1542)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_307,negated_conjecture,
    ( c0_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_308,negated_conjecture,
    ( c3_1(a1593)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_309,negated_conjecture,
    ( c2_1(a1581)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_310,negated_conjecture,
    ( c2_1(a1575)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_311,negated_conjecture,
    ( c1_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_312,negated_conjecture,
    ( c3_1(a1574)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_313,negated_conjecture,
    ( c0_1(a1573)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_314,negated_conjecture,
    ( c2_1(a1572)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_315,negated_conjecture,
    ( c3_1(a1572)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_318,negated_conjecture,
    ( c3_1(a1566)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_319,negated_conjecture,
    ( c1_1(a1565)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_320,negated_conjecture,
    ( c0_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_321,negated_conjecture,
    ( c1_1(a1558)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_322,negated_conjecture,
    ( c1_1(a1556)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_323,negated_conjecture,
    ( c2_1(a1556)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_328,negated_conjecture,
    ( c0_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_329,negated_conjecture,
    ( c3_1(a1549)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_330,negated_conjecture,
    ( c0_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_331,negated_conjecture,
    ( c1_1(a1547)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_332,negated_conjecture,
    ( c2_1(a1545)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_333,negated_conjecture,
    ( c0_1(a1543)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_334,negated_conjecture,
    ( c1_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_335,negated_conjecture,
    ( c3_1(a1539)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_336,negated_conjecture,
    ( c1_1(a1536)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_338,negated_conjecture,
    ( c0_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_339,negated_conjecture,
    ( c2_1(a1534)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1624) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1624) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1624) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a1593) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1581) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a1581) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1575) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1575) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1574) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1573) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1573) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a1572) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a1566) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a1565) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1565) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1558) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1556) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1549) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1547) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1545) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1545) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1543) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1543) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a1539) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1538) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_380,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1538) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_381,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1538) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_382,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1536) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_383,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1536) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_386,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a1534) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp30
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp18
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp23
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp28
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp14
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp21
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp22
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

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

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

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

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

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

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

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

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

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

tcf(c_480,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_284,c_286,c_283,c_280,c_270]) ).

tcf(c_544,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp30
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_286,c_283,c_280,c_270,c_391]) ).

tcf(c_556,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp28
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_286,c_283,c_280,c_270,c_398]) ).

tcf(c_559,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_286,c_283,c_280,c_270,c_397]) ).

tcf(c_562,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp23
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_286,c_283,c_280,c_270,c_396]) ).

tcf(c_565,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp18
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_286,c_283,c_280,c_270,c_395]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_286,c_283,c_280,c_270,c_392]) ).

tcf(c_577,plain,
    ! [X0: $i] :
      ( hskp10
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_286,c_283,c_280,c_270,c_408]) ).

tcf(c_578,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_577]) ).

tcf(c_580,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp21
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_286,c_283,c_280,c_270,c_407]) ).

tcf(c_581,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp21
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_580]) ).

tcf(c_598,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp28
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_286,c_283,c_280,c_270,c_401]) ).

tcf(c_599,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp28
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_598]) ).

tcf(c_601,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp14
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_286,c_283,c_280,c_270,c_400]) ).

tcf(c_602,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp14
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_601]) ).

tcf(c_604,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp22
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_286,c_283,c_280,c_270,c_410]) ).

tcf(c_605,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp22
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_604]) ).

tcf(c_610,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_286,c_283,c_280,c_270,c_412]) ).

tcf(c_614,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_286,c_283,c_280,c_270,c_420]) ).

tcf(c_615,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_614]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_286,c_283,c_280,c_270,c_418]) ).

tcf(c_619,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

tcf(c_620,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_286,c_283,c_280,c_270,c_417]) ).

tcf(c_621,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_620]) ).

tcf(c_622,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_286,c_283,c_280,c_270,c_416]) ).

tcf(c_623,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_622]) ).

tcf(c_624,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_286,c_283,c_280,c_270,c_415]) ).

tcf(c_625,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_624]) ).

tcf(c_630,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_286,c_283,c_280,c_270,c_429]) ).

tcf(c_631,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_630]) ).

tcf(c_638,plain,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_286,c_283,c_280,c_270,c_425]) ).

tcf(c_639,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_638]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_286,c_283,c_280,c_270,c_424]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_644,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_286,c_283,c_280,c_270,c_422]) ).

tcf(c_645,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_644]) ).

tcf(c_646,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_286,c_283,c_280,c_270,c_421]) ).

tcf(c_647,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_646]) ).

tcf(c_648,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_286,c_283,c_280,c_270,c_442]) ).

tcf(c_649,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_648]) ).

tcf(c_654,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_286,c_283,c_280,c_270,c_439]) ).

tcf(c_655,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_654]) ).

tcf(c_656,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_286,c_283,c_280,c_270,c_438]) ).

tcf(c_657,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_656]) ).

tcf(c_658,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_286,c_283,c_280,c_270,c_437]) ).

tcf(c_659,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_658]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_286,c_283,c_280,c_270,c_436]) ).

tcf(c_661,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_660]) ).

tcf(c_662,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_286,c_283,c_280,c_270,c_435]) ).

tcf(c_663,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_662]) ).

tcf(c_666,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_286,c_283,c_280,c_270,c_433]) ).

tcf(c_667,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_666]) ).

tcf(c_674,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_286,c_283,c_280,c_270,c_444]) ).

tcf(c_675,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_674]) ).

tcf(c_676,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_286,c_283,c_280,c_270,c_443]) ).

tcf(c_677,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_676]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_286,c_283,c_280,c_270,c_446]) ).

tcf(c_680,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_679]) ).

tcf(c_681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_445,c_480]) ).

tcf(c_682,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_681]) ).

tcf(c_683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_449,c_286,c_283,c_280,c_270,c_449]) ).

tcf(c_684,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_683]) ).

tcf(c_685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_286,c_283,c_280,c_270,c_448]) ).

tcf(c_686,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_685]) ).

tcf(c_689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_452,c_286,c_283,c_280,c_270,c_452]) ).

tcf(c_690,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_689]) ).

tcf(c_691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_451,c_286,c_283,c_280,c_270,c_451]) ).

tcf(c_692,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_691]) ).

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_450,c_286,c_283,c_280,c_270,c_450]) ).

tcf(c_694,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_693]) ).

tcf(c_695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_454,c_286,c_283,c_280,c_270,c_454]) ).

tcf(c_696,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_695]) ).

tcf(c_697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_453,c_286,c_283,c_280,c_270,c_453]) ).

tcf(c_698,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_697]) ).

tcf(c_699,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_455,c_286,c_283,c_280,c_270,c_455]) ).

tcf(c_700,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_699]) ).

tcf(c_701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_456,c_286,c_283,c_280,c_270,c_456]) ).

tcf(c_702,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_701]) ).

tcf(c_2257,plain,
    ( hskp3
    | hskp23
    | ~ c3_1(a1624) ),
    inference(resolution,[status(thm)],[c_291,c_346]) ).

tcf(c_2267,plain,
    ( hskp3
    | hskp23
    | ~ c2_1(a1624) ),
    inference(resolution,[status(thm)],[c_291,c_345]) ).

tcf(c_2277,plain,
    ( hskp3
    | hskp23
    | ~ c0_1(a1624) ),
    inference(resolution,[status(thm)],[c_291,c_344]) ).

tcf(c_3666,plain,
    ( hskp14
    | hskp15
    | ~ c2_1(a1574) ),
    inference(resolution,[status(thm)],[c_287,c_356]) ).

tcf(c_3676,plain,
    ( hskp14
    | hskp15
    | c3_1(a1574) ),
    inference(resolution,[status(thm)],[c_287,c_312]) ).

tcf(c_3686,plain,
    ( hskp14
    | hskp15
    | c1_1(a1574) ),
    inference(resolution,[status(thm)],[c_287,c_311]) ).

tcf(c_7053,plain,
    ( hskp4
    | hskp14
    | ~ c3_1(a1534) ),
    inference(resolution,[status(thm)],[c_286,c_386]) ).

tcf(c_7063,plain,
    ( hskp4
    | hskp14
    | c2_1(a1534) ),
    inference(resolution,[status(thm)],[c_286,c_339]) ).

tcf(c_7073,plain,
    ( hskp4
    | hskp14
    | c0_1(a1534) ),
    inference(resolution,[status(thm)],[c_286,c_338]) ).

tcf(c_7491,plain,
    ( hskp14
    | hskp20
    | ~ c3_1(a1565) ),
    inference(resolution,[status(thm)],[c_287,c_364]) ).

tcf(c_7501,plain,
    ( hskp14
    | hskp20
    | ~ c2_1(a1565) ),
    inference(resolution,[status(thm)],[c_287,c_363]) ).

tcf(c_7511,plain,
    ( hskp14
    | hskp20
    | c1_1(a1565) ),
    inference(resolution,[status(thm)],[c_287,c_319]) ).

tcf(c_7921,plain,
    ( hskp15
    | hskp20
    | c1_1(a1558) ),
    inference(resolution,[status(thm)],[c_287,c_321]) ).

tcf(c_7931,plain,
    ( hskp15
    | hskp20
    | c0_1(a1558) ),
    inference(resolution,[status(thm)],[c_287,c_320]) ).

tcf(c_17248,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_702]) ).

tcf(c_17249,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_702]) ).

tcf(c_17250,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_702]) ).

tcf(c_17251,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_702]) ).

tcf(c_17252,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_700]) ).

tcf(c_17253,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_700]) ).

tcf(c_17255,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_698]) ).

tcf(c_17256,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_698]) ).

tcf(c_17257,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_698]) ).

tcf(c_17258,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).

tcf(c_17259,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_696]) ).

tcf(c_17260,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_696]) ).

tcf(c_17261,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).

tcf(c_17262,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_694]) ).

tcf(c_17263,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_694]) ).

tcf(c_17264,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).

tcf(c_17265,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_692]) ).

tcf(c_17266,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_692]) ).

tcf(c_17267,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).

tcf(c_17268,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_690]) ).

tcf(c_17269,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_690]) ).

tcf(c_17270,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).

tcf(c_17274,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_686]) ).

tcf(c_17275,negated_conjecture,
    ( iPr_def_28
    | iPr_def_21
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).

tcf(c_17276,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_684]) ).

tcf(c_17278,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_682]) ).

tcf(c_17280,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_680]) ).

tcf(c_17281,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_17282,negated_conjecture,
    ( iPr_def_19
    | iPr_def_11
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).

tcf(c_17283,negated_conjecture,
    ( iPr_def_20
    | iPr_def_10
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).

tcf(c_17288,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_667]) ).

tcf(c_17289,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).

tcf(c_17291,negated_conjecture,
    ( iPr_def_33
    | iPr_def_13
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).

tcf(c_17292,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_661]) ).

tcf(c_17294,negated_conjecture,
    ( iPr_def_33
    | iPr_def_17
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).

tcf(c_17295,negated_conjecture,
    ( iPr_def_17
    | iPr_def_11
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_657]) ).

tcf(c_17296,negated_conjecture,
    ( iPr_def_34
    | iPr_def_17
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_655]) ).

tcf(c_17300,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_649]) ).

tcf(c_17302,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_647]) ).

tcf(c_17304,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_645]) ).

tcf(c_17305,negated_conjecture,
    ( iPr_def_38
    | iPr_def_11
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).

tcf(c_17308,negated_conjecture,
    ( iPr_def_36
    | iPr_def_16
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_17309,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_639]) ).

tcf(c_17314,negated_conjecture,
    ( iPr_def_36
    | iPr_def_13
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).

tcf(c_17317,negated_conjecture,
    ( iPr_def_37
    | iPr_def_20
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_625]) ).

tcf(c_17318,negated_conjecture,
    ( iPr_def_40
    | iPr_def_30
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).

tcf(c_17319,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_621]) ).

tcf(c_17320,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_619]) ).

tcf(c_17323,negated_conjecture,
    ( iPr_def_36
    | iPr_def_29
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_615]) ).

tcf(c_17325,negated_conjecture,
    ( iPr_def_30
    | iPr_def_22
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).

tcf(c_17327,negated_conjecture,
    ( iPr_def_10
    | hskp14
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).

tcf(c_17328,negated_conjecture,
    ( iPr_def_16
    | hskp5
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).

tcf(c_17329,negated_conjecture,
    ( iPr_def_40
    | hskp1
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).

tcf(c_17335,negated_conjecture,
    ( iPr_def_20
    | hskp20
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_581]) ).

tcf(c_17336,negated_conjecture,
    ( iPr_def_23
    | hskp4
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).

tcf(c_17339,negated_conjecture,
    ( iPr_def_41
    | hskp8
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).

tcf(c_17340,negated_conjecture,
    ( iPr_def_31
    | hskp8
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).

tcf(c_17341,negated_conjecture,
    ( iPr_def_31
    | hskp13
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_559]) ).

tcf(c_17342,negated_conjecture,
    ( iPr_def_31
    | hskp15
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_556]) ).

tcf(c_17346,negated_conjecture,
    ( iPr_def_30
    | hskp8
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_544]) ).

tcf(c_17379,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a1542)
    | ~ c3_1(a1542)
    | ~ c2_1(a1542) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

tcf(c_17382,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a1539)
    | ~ c3_1(a1539)
    | ~ c2_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

tcf(c_17383,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1544)
    | ~ c2_1(a1544)
    | ~ c0_1(a1544) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_17389,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1534)
    | ~ c2_1(a1534)
    | ~ c0_1(a1534) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_17393,plain,
    ( c1_1(a1549)
    | ~ iPr_def_13
    | ~ c2_1(a1549)
    | ~ c0_1(a1549) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_17396,plain,
    ( c1_1(a1534)
    | ~ iPr_def_13
    | ~ c2_1(a1534)
    | ~ c0_1(a1534) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_17401,plain,
    ( c3_1(a1547)
    | ~ iPr_def_14
    | ~ c2_1(a1547)
    | ~ c0_1(a1547) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_17403,plain,
    ( c3_1(a1534)
    | ~ iPr_def_14
    | ~ c2_1(a1534)
    | ~ c0_1(a1534) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_17404,plain,
    ( c0_1(a1542)
    | ~ iPr_def_15
    | ~ c3_1(a1542)
    | ~ c2_1(a1542) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17407,plain,
    ( c0_1(a1539)
    | ~ iPr_def_15
    | ~ c3_1(a1539)
    | ~ c2_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17409,plain,
    ( c1_1(a1573)
    | c3_1(a1573)
    | ~ iPr_def_18
    | ~ c0_1(a1573) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_17413,plain,
    ( c1_1(a1543)
    | c3_1(a1543)
    | ~ iPr_def_18
    | ~ c0_1(a1543) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_17418,plain,
    ( c2_1(a1539)
    | ~ iPr_def_11
    | ~ c1_1(a1539)
    | ~ c3_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_17424,plain,
    ( c2_1(a1574)
    | ~ iPr_def_11
    | ~ c1_1(a1574)
    | ~ c3_1(a1574) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_17429,plain,
    ( c0_1(a1545)
    | ~ iPr_def_16
    | ~ c1_1(a1545)
    | ~ c2_1(a1545) ),
    inference(instantiation,[status(thm)],[c_17256]) ).

tcf(c_17430,plain,
    ( c0_1(a1539)
    | ~ iPr_def_16
    | ~ c1_1(a1539)
    | ~ c2_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17256]) ).

tcf(c_17441,plain,
    ( ~ iPr_def_19
    | ~ c1_1(a1542)
    | ~ c3_1(a1542)
    | ~ c0_1(a1542) ),
    inference(instantiation,[status(thm)],[c_17260]) ).

tcf(c_17442,plain,
    ( ~ iPr_def_19
    | ~ c1_1(a1574)
    | ~ c3_1(a1574)
    | ~ c0_1(a1574) ),
    inference(instantiation,[status(thm)],[c_17260]) ).

tcf(c_17451,plain,
    ( c1_1(a1566)
    | c0_1(a1566)
    | ~ iPr_def_21
    | ~ c3_1(a1566) ),
    inference(instantiation,[status(thm)],[c_17263]) ).

tcf(c_17459,plain,
    ( c3_1(a1536)
    | c2_1(a1536)
    | c0_1(a1536)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17278]) ).

tcf(c_17465,plain,
    ( c1_1(a1549)
    | c2_1(a1549)
    | ~ iPr_def_24
    | ~ c3_1(a1549) ),
    inference(instantiation,[status(thm)],[c_17268]) ).

tcf(c_17467,plain,
    ( c1_1(a1575)
    | c0_1(a1575)
    | ~ iPr_def_38
    | ~ c2_1(a1575) ),
    inference(instantiation,[status(thm)],[c_17304]) ).

tcf(c_17477,plain,
    ( c2_1(a1549)
    | ~ iPr_def_25
    | ~ c3_1(a1549)
    | ~ c0_1(a1549) ),
    inference(instantiation,[status(thm)],[c_17269]) ).

tcf(c_17498,plain,
    ( c2_1(a1536)
    | ~ iPr_def_11
    | ~ c1_1(a1536)
    | ~ c3_1(a1536) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_17502,plain,
    ( c2_1(a1574)
    | ~ iPr_def_33
    | ~ c1_1(a1574)
    | ~ c0_1(a1574) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_17503,plain,
    ( c2_1(a1565)
    | ~ iPr_def_33
    | ~ c1_1(a1565)
    | ~ c0_1(a1565) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_17504,plain,
    ( c2_1(a1558)
    | ~ iPr_def_33
    | ~ c1_1(a1558)
    | ~ c0_1(a1558) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_17506,plain,
    ( c2_1(a1547)
    | ~ iPr_def_33
    | ~ c1_1(a1547)
    | ~ c0_1(a1547) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

tcf(c_17509,plain,
    ( c3_1(a1544)
    | ~ iPr_def_34
    | ~ c1_1(a1544)
    | ~ c2_1(a1544) ),
    inference(instantiation,[status(thm)],[c_17292]) ).

tcf(c_17520,plain,
    ( c2_1(a1539)
    | c0_1(a1539)
    | ~ iPr_def_23
    | ~ c1_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17266]) ).

tcf(c_17522,plain,
    ( c2_1(a1574)
    | c0_1(a1574)
    | ~ iPr_def_23
    | ~ c1_1(a1574) ),
    inference(instantiation,[status(thm)],[c_17266]) ).

tcf(c_17566,plain,
    ( c2_1(a1565)
    | c0_1(a1565)
    | ~ iPr_def_23
    | ~ c1_1(a1565) ),
    inference(instantiation,[status(thm)],[c_17266]) ).

tcf(c_17568,plain,
    ( c3_1(a1565)
    | c2_1(a1565)
    | c0_1(a1565)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17278]) ).

tcf(c_17575,plain,
    ( c1_1(a1566)
    | ~ iPr_def_17
    | ~ c3_1(a1566)
    | ~ c0_1(a1566) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_17576,plain,
    ( c1_1(a1549)
    | ~ iPr_def_17
    | ~ c3_1(a1549)
    | ~ c0_1(a1549) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_17593,plain,
    ( c1_1(a1581)
    | c3_1(a1581)
    | ~ iPr_def_41
    | ~ c2_1(a1581) ),
    inference(instantiation,[status(thm)],[c_17320]) ).

tcf(c_17628,plain,
    ( c1_1(a1538)
    | c3_1(a1538)
    | c2_1(a1538)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17274]) ).

tcf(c_17633,plain,
    ( c3_1(a1565)
    | c2_1(a1565)
    | ~ iPr_def_31
    | ~ c0_1(a1565) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

tcf(c_17634,plain,
    ( c3_1(a1543)
    | c2_1(a1543)
    | ~ iPr_def_31
    | ~ c0_1(a1543) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

tcf(c_17635,plain,
    ( c3_1(a1538)
    | c2_1(a1538)
    | ~ iPr_def_31
    | ~ c0_1(a1538) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

tcf(c_17646,plain,
    ( hskp10
    | ~ c1_1(a1574)
    | ~ c3_1(a1574)
    | ~ c0_1(a1574) ),
    inference(instantiation,[status(thm)],[c_578]) ).

tcf(c_17657,plain,
    ( c3_1(a1565)
    | c2_1(a1565)
    | ~ iPr_def_36
    | ~ c1_1(a1565) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

tcf(c_17691,plain,
    ( c0_1(a1574)
    | ~ iPr_def_40
    | ~ c1_1(a1574)
    | ~ c3_1(a1574) ),
    inference(instantiation,[status(thm)],[c_17309]) ).

tcf(c_17692,plain,
    ( c0_1(a1539)
    | ~ iPr_def_40
    | ~ c1_1(a1539)
    | ~ c3_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17309]) ).

tcf(c_17719,plain,
    ( c1_1(a1575)
    | c0_1(a1575)
    | ~ iPr_def_21
    | ~ c3_1(a1575) ),
    inference(instantiation,[status(thm)],[c_17263]) ).

tcf(c_17722,plain,
    ( c0_1(a1575)
    | ~ iPr_def_15
    | ~ c3_1(a1575)
    | ~ c2_1(a1575) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_17753,plain,
    ( c1_1(a1543)
    | ~ iPr_def_17
    | ~ c3_1(a1543)
    | ~ c0_1(a1543) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_17754,plain,
    ( c2_1(a1543)
    | ~ iPr_def_25
    | ~ c3_1(a1543)
    | ~ c0_1(a1543) ),
    inference(instantiation,[status(thm)],[c_17269]) ).

tcf(c_17763,plain,
    ( c3_1(a1538)
    | c2_1(a1538)
    | c0_1(a1538)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17278]) ).

tcf(c_17873,plain,
    ( c3_1(a1558)
    | c2_1(a1558)
    | ~ iPr_def_31
    | ~ c0_1(a1558) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

tcf(c_17875,plain,
    ( c3_1(a1547)
    | c2_1(a1547)
    | ~ iPr_def_31
    | ~ c0_1(a1547) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

tcf(c_17902,plain,
    ( c3_1(a1547)
    | c2_1(a1547)
    | ~ iPr_def_36
    | ~ c1_1(a1547) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

tcf(c_17924,plain,
    ( c1_1(a1581)
    | c0_1(a1581)
    | ~ iPr_def_38
    | ~ c2_1(a1581) ),
    inference(instantiation,[status(thm)],[c_17304]) ).

tcf(c_17950,plain,
    ( c2_1(a1574)
    | c0_1(a1574)
    | ~ iPr_def_22
    | ~ c3_1(a1574) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

tcf(c_17951,plain,
    ( c2_1(a1539)
    | c0_1(a1539)
    | ~ iPr_def_22
    | ~ c3_1(a1539) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

tcf(c_18009,plain,
    ( c0_1(a1542)
    | ~ iPr_def_16
    | ~ c1_1(a1542)
    | ~ c2_1(a1542) ),
    inference(instantiation,[status(thm)],[c_17256]) ).

tcf(c_18015,plain,
    ( c3_1(a1547)
    | ~ iPr_def_20
    | ~ c1_1(a1547)
    | ~ c0_1(a1547) ),
    inference(instantiation,[status(thm)],[c_17262]) ).

tcf(c_18067,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a1544)
    | ~ c3_1(a1544)
    | ~ c2_1(a1544) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

tcf(c_18082,plain,
    ( c0_1(a1572)
    | ~ iPr_def_15
    | ~ c3_1(a1572)
    | ~ c2_1(a1572) ),
    inference(instantiation,[status(thm)],[c_17255]) ).

tcf(c_18095,plain,
    ( hskp10
    | ~ c1_1(a1546)
    | ~ c3_1(a1546)
    | ~ c0_1(a1546) ),
    inference(instantiation,[status(thm)],[c_578]) ).

tcf(c_18101,plain,
    ( c2_1(a1546)
    | ~ iPr_def_11
    | ~ c1_1(a1546)
    | ~ c3_1(a1546) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_18103,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a1546)
    | ~ c3_1(a1546)
    | ~ c2_1(a1546) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

tcf(c_18128,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1542)
    | ~ c2_1(a1542)
    | ~ c0_1(a1542) ),
    inference(instantiation,[status(thm)],[c_17250]) ).

tcf(c_18179,plain,
    ( c1_1(a1581)
    | c3_1(a1581)
    | ~ iPr_def_18
    | ~ c0_1(a1581) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_18180,plain,
    ( c1_1(a1581)
    | ~ iPr_def_13
    | ~ c2_1(a1581)
    | ~ c0_1(a1581) ),
    inference(instantiation,[status(thm)],[c_17252]) ).

tcf(c_18235,plain,
    ( c1_1(a1575)
    | c3_1(a1575)
    | c0_1(a1575)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_18237,plain,
    ( c1_1(a1538)
    | c3_1(a1538)
    | c0_1(a1538)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_18239,plain,
    ( c1_1(a1545)
    | c3_1(a1545)
    | c0_1(a1545)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_17302]) ).

tcf(c_18243,plain,
    ( c3_1(a1556)
    | ~ iPr_def_14
    | ~ c2_1(a1556)
    | ~ c0_1(a1556) ),
    inference(instantiation,[status(thm)],[c_17253]) ).

tcf(c_18244,plain,
    ( c0_1(a1556)
    | ~ iPr_def_16
    | ~ c1_1(a1556)
    | ~ c2_1(a1556) ),
    inference(instantiation,[status(thm)],[c_17256]) ).

tcf(c_18272,plain,
    ( c1_1(a1538)
    | c3_1(a1538)
    | ~ iPr_def_18
    | ~ c0_1(a1538) ),
    inference(instantiation,[status(thm)],[c_17259]) ).

tcf(c_18277,plain,
    ( c1_1(a1538)
    | c2_1(a1538)
    | ~ iPr_def_29
    | ~ c0_1(a1538) ),
    inference(instantiation,[status(thm)],[c_17276]) ).

tcf(c_18305,plain,
    ( hskp10
    | ~ c1_1(a1593)
    | ~ c3_1(a1593)
    | ~ c0_1(a1593) ),
    inference(instantiation,[status(thm)],[c_578]) ).

tcf(c_18306,plain,
    ( c1_1(a1593)
    | ~ iPr_def_17
    | ~ c3_1(a1593)
    | ~ c0_1(a1593) ),
    inference(instantiation,[status(thm)],[c_17257]) ).

tcf(c_18307,plain,
    ( c2_1(a1593)
    | ~ iPr_def_25
    | ~ c3_1(a1593)
    | ~ c0_1(a1593) ),
    inference(instantiation,[status(thm)],[c_17269]) ).

tcf(c_18308,plain,
    ( c1_1(a1593)
    | c2_1(a1593)
    | ~ iPr_def_24
    | ~ c3_1(a1593) ),
    inference(instantiation,[status(thm)],[c_17268]) ).

tcf(c_18311,plain,
    ( c2_1(a1593)
    | ~ iPr_def_11
    | ~ c1_1(a1593)
    | ~ c3_1(a1593) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_18385,plain,
    ( c2_1(a1558)
    | ~ iPr_def_11
    | ~ c1_1(a1558)
    | ~ c3_1(a1558) ),
    inference(instantiation,[status(thm)],[c_17249]) ).

tcf(c_18409,plain,
    ( ~ iPr_def_19
    | ~ c1_1(a1558)
    | ~ c3_1(a1558)
    | ~ c0_1(a1558) ),
    inference(instantiation,[status(thm)],[c_17260]) ).

tcf(c_18415,plain,
    ( c3_1(a1565)
    | ~ iPr_def_20
    | ~ c1_1(a1565)
    | ~ c0_1(a1565) ),
    inference(instantiation,[status(thm)],[c_17262]) ).

tcf(c_18416,plain,
    ( c3_1(a1558)
    | ~ iPr_def_20
    | ~ c1_1(a1558)
    | ~ c0_1(a1558) ),
    inference(instantiation,[status(thm)],[c_17262]) ).

tcf(c_18488,plain,
    ( c3_1(a1624)
    | c2_1(a1624)
    | c0_1(a1624)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17278]) ).

tcf(c_18489,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18488,c_18416,c_18415,c_18409,c_18385,c_18305,c_18306,c_18307,c_18308,c_18311,c_18277,c_18272,c_18243,c_18244,c_18239,c_18237,c_18235,c_18179,c_18180,c_18128,c_18095,c_18101,c_18103,c_18082,c_18067,c_18015,c_18009,c_17951,c_17950,c_17924,c_17902,c_17875,c_17873,c_17763,c_17753,c_17754,c_17719,c_17722,c_17692,c_17691,c_17657,c_17646,c_17635,c_17634,c_17633,c_17628,c_17593,c_17576,c_17575,c_17566,c_17568,c_17522,c_17520,c_17509,c_17506,c_17504,c_17503,c_17502,c_17498,c_17477,c_17467,c_17465,c_17459,c_17451,c_17442,c_17441,c_17430,c_17429,c_17424,c_17418,c_17413,c_17409,c_17407,c_17404,c_17403,c_17401,c_17396,c_17393,c_17389,c_17383,c_17382,c_17379,c_17346,c_17342,c_17341,c_17340,c_17339,c_17336,c_17335,c_17329,c_17328,c_17327,c_17325,c_17323,c_17319,c_17318,c_17317,c_17314,c_17308,c_17305,c_17296,c_17295,c_17294,c_17291,c_17289,c_17283,c_17282,c_17281,c_17275,c_17270,c_17267,c_17264,c_17261,c_17258,c_17251,c_7931,c_7921,c_7511,c_7501,c_7491,c_7073,c_7063,c_7053,c_3686,c_3676,c_3666,c_2277,c_2267,c_2257,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_362,c_363,c_364,c_365,c_366,c_369,c_373,c_374,c_375,c_376,c_377,c_378,c_379,c_380,c_381,c_382,c_383,c_386,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_318,c_319,c_320,c_321,c_322,c_323,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_338,c_339,c_287]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN480-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n007.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 01:25:38 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41  Running EPR theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42  
% 0.14/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42  
% 0.14/0.42  % Detected problem language: tptp
% 0.14/0.43  % Proving...
% 6.57/1.60  % SZS status Started for theBenchmark.p
% 6.57/1.60  % SZS status Unsatisfiable for theBenchmark.p
% 6.57/1.60  
% 6.57/1.60  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.57/1.60  
% 6.57/1.60  % ------  iProver source info
% 6.57/1.60  
% 6.57/1.60  % git: date: 2026-07-19 20:42:38 +0200
% 6.57/1.60  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.57/1.60  % git: non_committed_changes: false
% 6.57/1.60  
% 6.57/1.60  % ------ Parsing...% successful
% 6.57/1.60  
% 6.57/1.60  
% 6.57/1.60  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 6.57/1.60  % 
% 6.57/1.60  
% 6.57/1.60  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 6.57/1.60  
% 6.57/1.60  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 6.57/1.60   gs_s  sp: 125 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.57/1.60  % ------ Proving...
% 6.57/1.60  % ------ Problem Properties 
% 6.57/1.60  
% 6.57/1.60  % 
% 6.57/1.60  % clauses                               202
% 6.57/1.60  % conjectures                           196
% 6.57/1.60  % EPR                                   202
% 6.57/1.60  % Horn                                  107
% 6.57/1.60  % unary                                 0
% 6.57/1.60  % binary                                90
% 6.57/1.60  % lits                                  549
% 6.57/1.60  % lits eq                               0
% 6.57/1.60  % fd_pure                               0
% 6.57/1.60  % fd_pseudo                             0
% 6.57/1.60  % fd_cond                               0
% 6.57/1.60  % fd_pseudo_cond                        0
% 6.57/1.60  % AC symbols                            0
% 6.57/1.60  
% 6.57/1.60  % ------ Schedule EPR non Horn non eq is on
% 6.57/1.60  
% 6.57/1.60  % ------ no equalities: superposition off 
% 6.57/1.60  
% 6.57/1.60  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 6.57/1.60  
% 6.57/1.60  
% 6.57/1.60  % ------ 
% 6.57/1.60  % Current options:
% 6.57/1.60  % ------ 
% 6.57/1.60  
% 6.57/1.60  
% 6.57/1.60  % 
% 6.57/1.60  
% 6.57/1.60  % ------ Proving...
% 6.57/1.60  % 
% 6.57/1.60  
% 6.57/1.60  % SZS status Unsatisfiable for theBenchmark.p
% 6.57/1.60  
% 6.57/1.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.57/1.61  
% 6.57/1.61  
%------------------------------------------------------------------------------