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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN481-1 : 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 : n014.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 03:40:28 PM UTC 2026

% Result   : Unsatisfiable 7.30s 1.71s
% Output   : CNFRefutation 7.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  502 (   2 unt;   0 def)
%            Number of atoms       : 2133 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2752 (1121   ~;1631   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 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  :   60 (  59 usr;  56 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  333 (   0 sgn 333   !;   0   ?; 256   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp14
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f27,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

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(f36,negated_conjecture,
    ( hskp24
    | hskp25
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f38,negated_conjecture,
    ( hskp11
    | hskp18
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp1
    | hskp5
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f41,negated_conjecture,
    ( hskp1
    | hskp26
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( hskp1
    | hskp19
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f46,negated_conjecture,
    ( hskp1
    | hskp17
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f50,negated_conjecture,
    ( c0_1(a1647)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c1_1(a1647)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c3_1(a1647)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c1_1(a1646)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c2_1(a1646)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( c3_1(a1646)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f59,negated_conjecture,
    ( c2_1(a1737)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c3_1(a1737)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c1_1(a1709)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c2_1(a1709)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c3_1(a1701)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c2_1(a1691)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c3_1(a1691)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c0_1(a1689)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c1_1(a1689)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c1_1(a1682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c2_1(a1682)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c1_1(a1680)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c2_1(a1675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c0_1(a1667)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c2_1(a1667)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c0_1(a1664)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c0_1(a1661)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c1_1(a1658)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a1658)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c0_1(a1653)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c1_1(a1653)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c1_1(a1650)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c0_1(a1648)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c2_1(a1648)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c1_1(a1643)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c0_1(a1642)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f86,negated_conjecture,
    ( c0_1(a1640)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c3_1(a1640)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f89,negated_conjecture,
    ( c3_1(a1638)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( c1_1(a1637)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( c3_1(a1637)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( c0_1(a1634)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( c3_1(a1634)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1737) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1709) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1701) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1701) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f101,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1697) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1697) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a1697) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1691) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1689) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1682) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a1680) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1680) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a1667) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1664) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a1664) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1661) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1661) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1658) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a1653) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1650) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1650) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1644) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1644) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1644) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f133,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1638) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1638) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1637) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1636) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1636) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a1636) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1634) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp28
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp16
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp28
      | hskp0
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp29
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( hskp28
      | hskp20
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp21
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp8
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp7
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | 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,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | 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',clause192) ).

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_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)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_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)
      | c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ 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(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

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

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_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',clause200) ).

tcf(c_249,negated_conjecture,
    ( hskp14
    | hskp20 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_275,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_279,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_280,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_284,negated_conjecture,
    ( hskp12
    | hskp24
    | hskp25 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_286,negated_conjecture,
    ( hskp10
    | hskp11
    | hskp18 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_287,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp5 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_289,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp26 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_290,negated_conjecture,
    ( hskp1
    | hskp15
    | hskp19 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_294,negated_conjecture,
    ( hskp1
    | hskp11
    | hskp17 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_298,negated_conjecture,
    ( c0_1(a1647)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_299,negated_conjecture,
    ( c1_1(a1647)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_300,negated_conjecture,
    ( c3_1(a1647)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_301,negated_conjecture,
    ( c1_1(a1646)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_302,negated_conjecture,
    ( c2_1(a1646)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_303,negated_conjecture,
    ( c3_1(a1646)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_307,negated_conjecture,
    ( c2_1(a1737)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_308,negated_conjecture,
    ( c3_1(a1737)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_309,negated_conjecture,
    ( c1_1(a1709)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_310,negated_conjecture,
    ( c2_1(a1709)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_311,negated_conjecture,
    ( c3_1(a1701)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_312,negated_conjecture,
    ( c2_1(a1691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_313,negated_conjecture,
    ( c3_1(a1691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_314,negated_conjecture,
    ( c0_1(a1689)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_315,negated_conjecture,
    ( c1_1(a1689)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_316,negated_conjecture,
    ( c1_1(a1682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_317,negated_conjecture,
    ( c2_1(a1682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_318,negated_conjecture,
    ( c1_1(a1680)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_319,negated_conjecture,
    ( c2_1(a1675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_320,negated_conjecture,
    ( c0_1(a1667)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_321,negated_conjecture,
    ( c2_1(a1667)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_322,negated_conjecture,
    ( c0_1(a1664)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_323,negated_conjecture,
    ( c0_1(a1661)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_324,negated_conjecture,
    ( c1_1(a1658)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_325,negated_conjecture,
    ( c3_1(a1658)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_326,negated_conjecture,
    ( c0_1(a1653)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_327,negated_conjecture,
    ( c1_1(a1653)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_328,negated_conjecture,
    ( c1_1(a1650)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_329,negated_conjecture,
    ( c0_1(a1648)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_330,negated_conjecture,
    ( c2_1(a1648)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_331,negated_conjecture,
    ( c1_1(a1643)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_332,negated_conjecture,
    ( c0_1(a1642)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_334,negated_conjecture,
    ( c0_1(a1640)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_335,negated_conjecture,
    ( c3_1(a1640)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_337,negated_conjecture,
    ( c3_1(a1638)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_338,negated_conjecture,
    ( c1_1(a1637)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_339,negated_conjecture,
    ( c3_1(a1637)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_340,negated_conjecture,
    ( c0_1(a1634)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_341,negated_conjecture,
    ( c3_1(a1634)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1737) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1709) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1701) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1701) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1697) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1697) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a1697) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1691) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1689) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1682) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a1680) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1680) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1675) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1675) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a1667) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1664) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a1664) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1661) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1661) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1658) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a1653) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1650) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1650) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1648) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1644) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1644) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1644) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1643) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1643) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1642) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1642) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_381,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1638) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_382,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1638) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_383,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1637) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_384,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1636) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_385,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1636) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_386,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a1636) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_387,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1634) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp3
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp28
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp29
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp20
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp21
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp8
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp11
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_480,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_280,c_287,c_280,c_279,c_275]) ).

tcf(c_542,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_287,c_280,c_279,c_275,c_390]) ).

tcf(c_545,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp3
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_287,c_280,c_279,c_275,c_389]) ).

tcf(c_566,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_287,c_280,c_279,c_275,c_394]) ).

tcf(c_569,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp28
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_287,c_280,c_279,c_275,c_393]) ).

tcf(c_581,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp8
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_287,c_280,c_279,c_275,c_408]) ).

tcf(c_582,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp8
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_581]) ).

tcf(c_584,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp21
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_287,c_280,c_279,c_275,c_407]) ).

tcf(c_585,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp21
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_584]) ).

tcf(c_587,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp20
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_287,c_280,c_279,c_275,c_406]) ).

tcf(c_588,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp20
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_587]) ).

tcf(c_590,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp28
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_287,c_280,c_279,c_275,c_405]) ).

tcf(c_591,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp28
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_590]) ).

tcf(c_596,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp29
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_287,c_280,c_279,c_275,c_403]) ).

tcf(c_597,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp29
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_596]) ).

tcf(c_599,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp28
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_287,c_280,c_279,c_275,c_402]) ).

tcf(c_600,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp28
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_599]) ).

tcf(c_602,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_287,c_280,c_279,c_275,c_401]) ).

tcf(c_603,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_602]) ).

tcf(c_611,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_287,c_280,c_279,c_275,c_413]) ).

tcf(c_612,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp11
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_611]) ).

tcf(c_623,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_287,c_280,c_279,c_275,c_417]) ).

tcf(c_627,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_287,c_280,c_279,c_275,c_415]) ).

tcf(c_629,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_287,c_280,c_279,c_275,c_420]) ).

tcf(c_630,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_629]) ).

tcf(c_631,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_287,c_280,c_279,c_275,c_419]) ).

tcf(c_632,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_631]) ).

tcf(c_639,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_287,c_280,c_279,c_275,c_425]) ).

tcf(c_640,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_639]) ).

tcf(c_641,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_287,c_280,c_279,c_275,c_424]) ).

tcf(c_642,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_641]) ).

tcf(c_645,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_287,c_280,c_279,c_275,c_422]) ).

tcf(c_646,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_645]) ).

tcf(c_648,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_287,c_280,c_279,c_275,c_421]) ).

tcf(c_649,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_648]) ).

tcf(c_650,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_287,c_280,c_279,c_275,c_434]) ).

tcf(c_651,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_650]) ).

tcf(c_654,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_287,c_280,c_279,c_275,c_432]) ).

tcf(c_655,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_654]) ).

tcf(c_656,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_287,c_280,c_279,c_275,c_431]) ).

tcf(c_657,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_656]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_287,c_280,c_279,c_275,c_429]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_663,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_287,c_280,c_279,c_275,c_428]) ).

tcf(c_664,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_663]) ).

tcf(c_665,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_287,c_280,c_279,c_275,c_438]) ).

tcf(c_666,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_665]) ).

tcf(c_667,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_287,c_280,c_279,c_275,c_437]) ).

tcf(c_668,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_667]) ).

tcf(c_670,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_287,c_280,c_279,c_275,c_436]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_670]) ).

tcf(c_673,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_287,c_280,c_279,c_275,c_435]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_287,c_280,c_279,c_275,c_439]) ).

tcf(c_676,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_675]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_287,c_280,c_279,c_275,c_443]) ).

tcf(c_678,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_287,c_280,c_279,c_275,c_442]) ).

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

tcf(c_681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_287,c_280,c_279,c_275,c_441]) ).

tcf(c_682,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ 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(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_287,c_280,c_279,c_275,c_440]) ).

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

tcf(c_685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_287,c_280,c_279,c_275,c_447]) ).

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

tcf(c_687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_446,c_480]) ).

tcf(c_688,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_687]) ).

tcf(c_689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_287,c_280,c_279,c_275,c_445]) ).

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

tcf(c_691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_287,c_280,c_279,c_275,c_444]) ).

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

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_287,c_280,c_279,c_275,c_448]) ).

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

tcf(c_1437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_688,c_632]) ).

tcf(c_1944,plain,
    ( hskp0
    | hskp1
    | ~ c0_1(a1737) ),
    inference(resolution,[status(thm)],[c_289,c_342]) ).

tcf(c_1954,plain,
    ( hskp0
    | hskp1
    | c3_1(a1737) ),
    inference(resolution,[status(thm)],[c_289,c_308]) ).

tcf(c_1964,plain,
    ( hskp0
    | hskp1
    | c2_1(a1737) ),
    inference(resolution,[status(thm)],[c_289,c_307]) ).

tcf(c_2193,plain,
    ( hskp10
    | hskp11
    | ~ c2_1(a1680) ),
    inference(resolution,[status(thm)],[c_286,c_356]) ).

tcf(c_2203,plain,
    ( hskp10
    | hskp11
    | ~ c0_1(a1680) ),
    inference(resolution,[status(thm)],[c_286,c_355]) ).

tcf(c_2213,plain,
    ( hskp10
    | hskp11
    | c1_1(a1680) ),
    inference(resolution,[status(thm)],[c_286,c_318]) ).

tcf(c_2724,plain,
    ( hskp12
    | hskp24
    | ~ c0_1(a1709) ),
    inference(resolution,[status(thm)],[c_284,c_343]) ).

tcf(c_2734,plain,
    ( hskp12
    | hskp24
    | c2_1(a1709) ),
    inference(resolution,[status(thm)],[c_284,c_310]) ).

tcf(c_2744,plain,
    ( hskp12
    | hskp24
    | c1_1(a1709) ),
    inference(resolution,[status(thm)],[c_284,c_309]) ).

tcf(c_3492,plain,
    ( hskp1
    | hskp11
    | ~ c1_1(a1675) ),
    inference(resolution,[status(thm)],[c_294,c_358]) ).

tcf(c_3502,plain,
    ( hskp1
    | hskp11
    | ~ c0_1(a1675) ),
    inference(resolution,[status(thm)],[c_294,c_357]) ).

tcf(c_3512,plain,
    ( hskp1
    | hskp11
    | c2_1(a1675) ),
    inference(resolution,[status(thm)],[c_294,c_319]) ).

tcf(c_3830,plain,
    ! [X0: $i] :
      ( hskp28
      | c1_1(a1689)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_588,c_315]) ).

tcf(c_3831,plain,
    ( hskp28
    | c1_1(a1689)
    | c2_1(a1634)
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_3830]) ).

tcf(c_3847,plain,
    ! [X0: $i] :
      ( hskp28
      | c0_1(a1689)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_588,c_314]) ).

tcf(c_3848,plain,
    ( hskp28
    | c2_1(a1634)
    | c0_1(a1689)
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_3847]) ).

tcf(c_3894,plain,
    ( hskp14
    | ~ c2_1(a1689) ),
    inference(resolution,[status(thm)],[c_249,c_353]) ).

tcf(c_3901,plain,
    ( hskp14
    | c1_1(a1689) ),
    inference(resolution,[status(thm)],[c_249,c_315]) ).

tcf(c_3908,plain,
    ( hskp14
    | c0_1(a1689) ),
    inference(resolution,[status(thm)],[c_249,c_314]) ).

tcf(c_4284,plain,
    ( hskp1
    | hskp15
    | ~ c3_1(a1682) ),
    inference(resolution,[status(thm)],[c_290,c_354]) ).

tcf(c_4294,plain,
    ( hskp1
    | hskp15
    | c2_1(a1682) ),
    inference(resolution,[status(thm)],[c_290,c_317]) ).

tcf(c_4304,plain,
    ( hskp1
    | hskp15
    | c1_1(a1682) ),
    inference(resolution,[status(thm)],[c_290,c_316]) ).

tcf(c_4464,plain,
    ( hskp11
    | hskp18
    | ~ c3_1(a1648) ),
    inference(resolution,[status(thm)],[c_286,c_368]) ).

tcf(c_4474,plain,
    ( hskp11
    | hskp18
    | c2_1(a1648) ),
    inference(resolution,[status(thm)],[c_286,c_330]) ).

tcf(c_4484,plain,
    ( hskp11
    | hskp18
    | c0_1(a1648) ),
    inference(resolution,[status(thm)],[c_286,c_329]) ).

tcf(c_6406,plain,
    ( hskp0
    | hskp1
    | c3_1(a1640) ),
    inference(resolution,[status(thm)],[c_287,c_335]) ).

tcf(c_6416,plain,
    ( hskp0
    | hskp1
    | c0_1(a1640) ),
    inference(resolution,[status(thm)],[c_287,c_334]) ).

tcf(c_8085,plain,
    ! [X0: $i] :
      ( hskp12
      | c3_1(a1647)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_597,c_300]) ).

tcf(c_8086,plain,
    ( hskp12
    | c1_1(a1634)
    | c3_1(a1647)
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_8085]) ).

tcf(c_8102,plain,
    ! [X0: $i] :
      ( hskp12
      | c1_1(a1647)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_597,c_299]) ).

tcf(c_8103,plain,
    ( hskp12
    | c1_1(a1634)
    | c1_1(a1647)
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_8102]) ).

tcf(c_8119,plain,
    ! [X0: $i] :
      ( hskp12
      | c0_1(a1647)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_597,c_298]) ).

tcf(c_8120,plain,
    ( hskp12
    | c1_1(a1634)
    | c0_1(a1647)
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_8119]) ).

tcf(c_17648,plain,
    ! [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_1437]) ).

tcf(c_17649,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1437]) ).

tcf(c_17650,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1437]) ).

tcf(c_17651,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1437]) ).

tcf(c_17652,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_694]) ).

tcf(c_17653,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_694]) ).

tcf(c_17654,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_694]) ).

tcf(c_17655,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).

tcf(c_17656,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_692]) ).

tcf(c_17657,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_692]) ).

tcf(c_17658,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_692]) ).

tcf(c_17659,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).

tcf(c_17660,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_690]) ).

tcf(c_17661,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).

tcf(c_17662,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_686]) ).

tcf(c_17663,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_686]) ).

tcf(c_17664,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).

tcf(c_17665,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_684]) ).

tcf(c_17666,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).

tcf(c_17667,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_682]) ).

tcf(c_17668,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_682]) ).

tcf(c_17669,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).

tcf(c_17670,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_680]) ).

tcf(c_17671,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_680]) ).

tcf(c_17672,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_17673,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_678]) ).

tcf(c_17674,negated_conjecture,
    ( iPr_def_27
    | iPr_def_24
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).

tcf(c_17675,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_676]) ).

tcf(c_17676,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_676]) ).

tcf(c_17678,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_673]) ).

tcf(c_17679,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_673]) ).

tcf(c_17680,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).

tcf(c_17681,negated_conjecture,
    ( iPr_def_16
    | iPr_def_13
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).

tcf(c_17682,negated_conjecture,
    ( iPr_def_13
    | iPr_def_10
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).

tcf(c_17683,negated_conjecture,
    ( iPr_def_15
    | iPr_def_10
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).

tcf(c_17684,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_664]) ).

tcf(c_17686,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_662]) ).

tcf(c_17687,negated_conjecture,
    ( iPr_def_33
    | iPr_def_25
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).

tcf(c_17689,negated_conjecture,
    ( iPr_def_29
    | iPr_def_16
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_657]) ).

tcf(c_17690,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_655]) ).

tcf(c_17691,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_655]) ).

tcf(c_17692,negated_conjecture,
    ( iPr_def_35
    | iPr_def_34
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_655]) ).

tcf(c_17694,negated_conjecture,
    ( iPr_def_23
    | iPr_def_10
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_651]) ).

tcf(c_17695,negated_conjecture,
    ( iPr_def_31
    | iPr_def_16
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_649]) ).

tcf(c_17696,negated_conjecture,
    ( iPr_def_28
    | iPr_def_20
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).

tcf(c_17698,negated_conjecture,
    ( iPr_def_28
    | iPr_def_23
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).

tcf(c_17699,negated_conjecture,
    ( iPr_def_24
    | iPr_def_20
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_640]) ).

tcf(c_17705,negated_conjecture,
    ( iPr_def_25
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).

tcf(c_17706,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_630]) ).

tcf(c_17708,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_627]) ).

tcf(c_17709,negated_conjecture,
    ( iPr_def_39
    | iPr_def_30
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).

tcf(c_17711,negated_conjecture,
    ( iPr_def_38
    | iPr_def_27
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).

tcf(c_17715,negated_conjecture,
    ( iPr_def_32
    | hskp7
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).

tcf(c_17718,negated_conjecture,
    ( iPr_def_25
    | hskp11
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_603]) ).

tcf(c_17719,negated_conjecture,
    ( iPr_def_29
    | hskp0
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_600]) ).

tcf(c_17722,negated_conjecture,
    ( iPr_def_23
    | hskp19
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).

tcf(c_17724,negated_conjecture,
    ( iPr_def_33
    | hskp3
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).

tcf(c_17725,negated_conjecture,
    ( iPr_def_19
    | hskp1
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_582]) ).

tcf(c_17729,negated_conjecture,
    ( iPr_def_11
    | hskp0
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_569]) ).

tcf(c_17730,negated_conjecture,
    ( iPr_def_24
    | hskp0
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).

tcf(c_17737,negated_conjecture,
    ( iPr_def_30
    | hskp2
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_545]) ).

tcf(c_17738,negated_conjecture,
    ( iPr_def_26
    | hskp1
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).

tcf(c_17745,plain,
    ( c1_1(a1634)
    | c2_1(a1634)
    | ~ iPr_def_14
    | ~ c3_1(a1634) ),
    inference(instantiation,[status(thm)],[c_17653]) ).

tcf(c_17747,plain,
    ( c1_1(a1634)
    | c2_1(a1634)
    | ~ iPr_def_24
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_17668]) ).

tcf(c_17757,plain,
    ( c1_1(a1634)
    | ~ iPr_def_21
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_17663]) ).

tcf(c_17758,plain,
    ( c1_1(a1634)
    | ~ iPr_def_23
    | ~ c3_1(a1634)
    | ~ c2_1(a1634) ),
    inference(instantiation,[status(thm)],[c_17667]) ).

tcf(c_17763,plain,
    ( c2_1(a1634)
    | ~ iPr_def_35
    | ~ c3_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_17691]) ).

tcf(c_17767,plain,
    ( ~ iPr_def_18
    | ~ c3_1(a1634)
    | ~ c2_1(a1634)
    | ~ c0_1(a1634) ),
    inference(instantiation,[status(thm)],[c_17658]) ).

tcf(c_17770,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a1682)
    | ~ c2_1(a1682)
    | ~ c0_1(a1682) ),
    inference(instantiation,[status(thm)],[c_17652]) ).

tcf(c_17772,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a1648)
    | ~ c2_1(a1648)
    | ~ c0_1(a1648) ),
    inference(instantiation,[status(thm)],[c_17652]) ).

tcf(c_17776,plain,
    ( c3_1(a1689)
    | ~ iPr_def_16
    | ~ c1_1(a1689)
    | ~ c0_1(a1689) ),
    inference(instantiation,[status(thm)],[c_17656]) ).

tcf(c_17777,plain,
    ( c3_1(a1682)
    | ~ iPr_def_16
    | ~ c1_1(a1682)
    | ~ c0_1(a1682) ),
    inference(instantiation,[status(thm)],[c_17656]) ).

tcf(c_17778,plain,
    ( c3_1(a1653)
    | ~ iPr_def_16
    | ~ c1_1(a1653)
    | ~ c0_1(a1653) ),
    inference(instantiation,[status(thm)],[c_17656]) ).

tcf(c_17783,plain,
    ( c1_1(a1675)
    | c0_1(a1675)
    | ~ iPr_def_17
    | ~ c2_1(a1675) ),
    inference(instantiation,[status(thm)],[c_17657]) ).

tcf(c_17788,plain,
    ( c3_1(a1650)
    | c2_1(a1650)
    | c0_1(a1650)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17671]) ).

tcf(c_17795,plain,
    ( c3_1(a1682)
    | ~ iPr_def_10
    | ~ c1_1(a1682)
    | ~ c2_1(a1682) ),
    inference(instantiation,[status(thm)],[c_17648]) ).

tcf(c_17797,plain,
    ( c3_1(a1648)
    | ~ iPr_def_10
    | ~ c1_1(a1648)
    | ~ c2_1(a1648) ),
    inference(instantiation,[status(thm)],[c_17648]) ).

tcf(c_17804,plain,
    ( c1_1(a1638)
    | c0_1(a1638)
    | ~ iPr_def_11
    | ~ c3_1(a1638) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_17806,plain,
    ( c1_1(a1636)
    | c0_1(a1636)
    | ~ iPr_def_11
    | ~ c3_1(a1636) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_17812,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a1647)
    | ~ c2_1(a1647)
    | ~ c0_1(a1647) ),
    inference(instantiation,[status(thm)],[c_17652]) ).

tcf(c_17821,plain,
    ( c1_1(a1642)
    | c2_1(a1642)
    | ~ iPr_def_24
    | ~ c0_1(a1642) ),
    inference(instantiation,[status(thm)],[c_17668]) ).

tcf(c_17824,plain,
    ( c1_1(a1664)
    | c2_1(a1664)
    | ~ iPr_def_24
    | ~ c0_1(a1664) ),
    inference(instantiation,[status(thm)],[c_17668]) ).

tcf(c_17825,plain,
    ( c3_1(a1661)
    | ~ iPr_def_19
    | ~ c2_1(a1661)
    | ~ c0_1(a1661) ),
    inference(instantiation,[status(thm)],[c_17660]) ).

tcf(c_17826,plain,
    ( c3_1(a1648)
    | ~ iPr_def_19
    | ~ c2_1(a1648)
    | ~ c0_1(a1648) ),
    inference(instantiation,[status(thm)],[c_17660]) ).

tcf(c_17829,plain,
    ( c1_1(a1701)
    | c0_1(a1701)
    | ~ iPr_def_11
    | ~ c3_1(a1701) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_17835,plain,
    ( c0_1(a1646)
    | ~ iPr_def_25
    | ~ c1_1(a1646)
    | ~ c2_1(a1646) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_17837,plain,
    ( c0_1(a1682)
    | ~ iPr_def_25
    | ~ c1_1(a1682)
    | ~ c2_1(a1682) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_17840,plain,
    ( c0_1(a1650)
    | ~ iPr_def_25
    | ~ c1_1(a1650)
    | ~ c2_1(a1650) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_17841,plain,
    ( c0_1(a1637)
    | ~ iPr_def_25
    | ~ c1_1(a1637)
    | ~ c2_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_17887,plain,
    ( c0_1(a1637)
    | ~ iPr_def_20
    | ~ c1_1(a1637)
    | ~ c3_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17662]) ).

tcf(c_17891,plain,
    ( c1_1(a1691)
    | ~ iPr_def_23
    | ~ c3_1(a1691)
    | ~ c2_1(a1691) ),
    inference(instantiation,[status(thm)],[c_17667]) ).

tcf(c_17893,plain,
    ( c1_1(a1675)
    | ~ iPr_def_23
    | ~ c3_1(a1675)
    | ~ c2_1(a1675) ),
    inference(instantiation,[status(thm)],[c_17667]) ).

tcf(c_17904,plain,
    ( c1_1(a1638)
    | c2_1(a1638)
    | c0_1(a1638)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17678]) ).

tcf(c_17906,plain,
    ( c1_1(a1636)
    | c2_1(a1636)
    | c0_1(a1636)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17678]) ).

tcf(c_17909,plain,
    ( c0_1(a1709)
    | ~ iPr_def_25
    | ~ c1_1(a1709)
    | ~ c2_1(a1709) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_17922,plain,
    ( c3_1(a1643)
    | ~ iPr_def_16
    | ~ c1_1(a1643)
    | ~ c0_1(a1643) ),
    inference(instantiation,[status(thm)],[c_17656]) ).

tcf(c_17930,plain,
    ( c3_1(a1650)
    | ~ iPr_def_10
    | ~ c1_1(a1650)
    | ~ c2_1(a1650) ),
    inference(instantiation,[status(thm)],[c_17648]) ).

tcf(c_17931,plain,
    ( c3_1(a1650)
    | c0_1(a1650)
    | ~ iPr_def_27
    | ~ c1_1(a1650) ),
    inference(instantiation,[status(thm)],[c_17673]) ).

tcf(c_17948,plain,
    ( c2_1(a1647)
    | ~ iPr_def_33
    | ~ c1_1(a1647)
    | ~ c3_1(a1647) ),
    inference(instantiation,[status(thm)],[c_17686]) ).

tcf(c_17953,plain,
    ( c2_1(a1658)
    | ~ iPr_def_33
    | ~ c1_1(a1658)
    | ~ c3_1(a1658) ),
    inference(instantiation,[status(thm)],[c_17686]) ).

tcf(c_17957,plain,
    ( c2_1(a1637)
    | ~ iPr_def_33
    | ~ c1_1(a1637)
    | ~ c3_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17686]) ).

tcf(c_18004,plain,
    ( c3_1(a1643)
    | c2_1(a1643)
    | c0_1(a1643)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17671]) ).

tcf(c_18005,plain,
    ( c1_1(a1661)
    | c3_1(a1661)
    | c2_1(a1661)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_17706]) ).

tcf(c_18013,plain,
    ( c1_1(a1636)
    | c3_1(a1636)
    | c2_1(a1636)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_17706]) ).

tcf(c_18021,plain,
    ( c3_1(a1697)
    | c2_1(a1697)
    | c0_1(a1697)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17671]) ).

tcf(c_18029,plain,
    ( c2_1(a1689)
    | ~ iPr_def_33
    | ~ c1_1(a1689)
    | ~ c3_1(a1689) ),
    inference(instantiation,[status(thm)],[c_17686]) ).

tcf(c_18034,plain,
    ( c3_1(a1667)
    | ~ iPr_def_19
    | ~ c2_1(a1667)
    | ~ c0_1(a1667) ),
    inference(instantiation,[status(thm)],[c_17660]) ).

tcf(c_18035,plain,
    ( c1_1(a1667)
    | ~ iPr_def_23
    | ~ c3_1(a1667)
    | ~ c2_1(a1667) ),
    inference(instantiation,[status(thm)],[c_17667]) ).

tcf(c_18042,plain,
    ( c1_1(a1640)
    | ~ iPr_def_21
    | ~ c3_1(a1640)
    | ~ c0_1(a1640) ),
    inference(instantiation,[status(thm)],[c_17663]) ).

tcf(c_18052,plain,
    ( c1_1(a1737)
    | c0_1(a1737)
    | ~ iPr_def_11
    | ~ c3_1(a1737) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_18056,plain,
    ( c1_1(a1737)
    | ~ iPr_def_23
    | ~ c3_1(a1737)
    | ~ c2_1(a1737) ),
    inference(instantiation,[status(thm)],[c_17667]) ).

tcf(c_18059,plain,
    ( c2_1(a1638)
    | ~ iPr_def_33
    | ~ c1_1(a1638)
    | ~ c3_1(a1638) ),
    inference(instantiation,[status(thm)],[c_17686]) ).

tcf(c_18060,plain,
    ( c0_1(a1638)
    | ~ iPr_def_20
    | ~ c1_1(a1638)
    | ~ c3_1(a1638) ),
    inference(instantiation,[status(thm)],[c_17662]) ).

tcf(c_18101,plain,
    ( c1_1(a1701)
    | ~ iPr_def_23
    | ~ c3_1(a1701)
    | ~ c2_1(a1701) ),
    inference(instantiation,[status(thm)],[c_17667]) ).

tcf(c_18160,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a1647)
    | ~ c3_1(a1647)
    | ~ c0_1(a1647) ),
    inference(instantiation,[status(thm)],[c_17654]) ).

tcf(c_18162,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a1689)
    | ~ c3_1(a1689)
    | ~ c0_1(a1689) ),
    inference(instantiation,[status(thm)],[c_17654]) ).

tcf(c_18169,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a1640)
    | ~ c3_1(a1640)
    | ~ c0_1(a1640) ),
    inference(instantiation,[status(thm)],[c_17654]) ).

tcf(c_18188,plain,
    ( c1_1(a1638)
    | c2_1(a1638)
    | ~ iPr_def_14
    | ~ c3_1(a1638) ),
    inference(instantiation,[status(thm)],[c_17653]) ).

tcf(c_18218,plain,
    ( c3_1(a1642)
    | ~ iPr_def_16
    | ~ c1_1(a1642)
    | ~ c0_1(a1642) ),
    inference(instantiation,[status(thm)],[c_17656]) ).

tcf(c_18266,plain,
    ( c0_1(a1737)
    | ~ iPr_def_20
    | ~ c1_1(a1737)
    | ~ c3_1(a1737) ),
    inference(instantiation,[status(thm)],[c_17662]) ).

tcf(c_18333,plain,
    ( c1_1(a1701)
    | c2_1(a1701)
    | c0_1(a1701)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17678]) ).

tcf(c_18399,plain,
    ( c1_1(a1648)
    | ~ iPr_def_34
    | ~ c2_1(a1648)
    | ~ c0_1(a1648) ),
    inference(instantiation,[status(thm)],[c_17690]) ).

tcf(c_18433,plain,
    ( c2_1(a1680)
    | c0_1(a1680)
    | ~ iPr_def_31
    | ~ c1_1(a1680) ),
    inference(instantiation,[status(thm)],[c_17679]) ).

tcf(c_18435,plain,
    ( c0_1(a1680)
    | ~ iPr_def_20
    | ~ c1_1(a1680)
    | ~ c3_1(a1680) ),
    inference(instantiation,[status(thm)],[c_17662]) ).

tcf(c_18455,plain,
    ( c2_1(a1650)
    | c0_1(a1650)
    | ~ iPr_def_31
    | ~ c1_1(a1650) ),
    inference(instantiation,[status(thm)],[c_17679]) ).

tcf(c_18462,plain,
    ( c2_1(a1680)
    | c0_1(a1680)
    | ~ iPr_def_28
    | ~ c3_1(a1680) ),
    inference(instantiation,[status(thm)],[c_17675]) ).

tcf(c_18467,plain,
    ( c2_1(a1638)
    | c0_1(a1638)
    | ~ iPr_def_28
    | ~ c3_1(a1638) ),
    inference(instantiation,[status(thm)],[c_17675]) ).

tcf(c_18468,plain,
    ( c2_1(a1637)
    | c0_1(a1637)
    | ~ iPr_def_28
    | ~ c3_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17675]) ).

tcf(c_18472,plain,
    ( c2_1(a1637)
    | c0_1(a1637)
    | ~ iPr_def_31
    | ~ c1_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17679]) ).

tcf(c_18507,plain,
    ( c1_1(a1644)
    | c3_1(a1644)
    | c0_1(a1644)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_17665]) ).

tcf(c_18511,plain,
    ( c1_1(a1675)
    | c3_1(a1675)
    | c0_1(a1675)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_17665]) ).

tcf(c_18525,plain,
    ( c2_1(a1638)
    | c0_1(a1638)
    | ~ iPr_def_31
    | ~ c1_1(a1638) ),
    inference(instantiation,[status(thm)],[c_17679]) ).

tcf(c_18538,plain,
    ( c3_1(a1642)
    | c2_1(a1642)
    | ~ iPr_def_39
    | ~ c0_1(a1642) ),
    inference(instantiation,[status(thm)],[c_17708]) ).

tcf(c_18571,plain,
    ( c0_1(a1637)
    | ~ iPr_def_29
    | ~ c3_1(a1637)
    | ~ c2_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17676]) ).

tcf(c_18573,plain,
    ( ~ iPr_def_32
    | ~ c1_1(a1637)
    | ~ c3_1(a1637)
    | ~ c2_1(a1637) ),
    inference(instantiation,[status(thm)],[c_17684]) ).

tcf(c_18689,plain,
    ( c3_1(a1680)
    | c2_1(a1680)
    | c0_1(a1680)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17671]) ).

tcf(c_18704,plain,
    ( ~ iPr_def_18
    | ~ c3_1(a1646)
    | ~ c2_1(a1646)
    | ~ c0_1(a1646) ),
    inference(instantiation,[status(thm)],[c_17658]) ).

tcf(c_18756,plain,
    ( c0_1(a1737)
    | ~ iPr_def_29
    | ~ c3_1(a1737)
    | ~ c2_1(a1737) ),
    inference(instantiation,[status(thm)],[c_17676]) ).

tcf(c_18771,plain,
    ( c2_1(a1643)
    | c0_1(a1643)
    | ~ iPr_def_31
    | ~ c1_1(a1643) ),
    inference(instantiation,[status(thm)],[c_17679]) ).

tcf(c_18819,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1646)
    | ~ c2_1(a1646) ),
    inference(instantiation,[status(thm)],[c_17650]) ).

tcf(c_18822,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1682)
    | ~ c2_1(a1682) ),
    inference(instantiation,[status(thm)],[c_17650]) ).

tcf(c_18825,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1650)
    | ~ c2_1(a1650) ),
    inference(instantiation,[status(thm)],[c_17650]) ).

tcf(c_18830,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a1648)
    | ~ c2_1(a1648) ),
    inference(instantiation,[status(thm)],[c_17650]) ).

tcf(c_18896,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18830,c_18825,c_18822,c_18819,c_18771,c_18756,c_18704,c_18689,c_18571,c_18573,c_18538,c_18525,c_18511,c_18507,c_18472,c_18468,c_18467,c_18462,c_18455,c_18433,c_18435,c_18399,c_18333,c_18266,c_18218,c_18188,c_18169,c_18162,c_18160,c_18101,c_18059,c_18060,c_18056,c_18052,c_18042,c_18034,c_18035,c_18029,c_18021,c_18013,c_18005,c_18004,c_17957,c_17953,c_17948,c_17930,c_17931,c_17922,c_17909,c_17906,c_17904,c_17893,c_17891,c_17887,c_17841,c_17840,c_17837,c_17835,c_17829,c_17826,c_17825,c_17824,c_17821,c_17812,c_17806,c_17804,c_17797,c_17795,c_17788,c_17783,c_17778,c_17777,c_17776,c_17772,c_17770,c_17767,c_17763,c_17758,c_17757,c_17747,c_17745,c_17738,c_17737,c_17730,c_17729,c_17725,c_17724,c_17722,c_17719,c_17718,c_17715,c_17711,c_17709,c_17699,c_17698,c_17696,c_17695,c_17694,c_17692,c_17689,c_17687,c_17683,c_17682,c_17681,c_17680,c_17674,c_17672,c_17669,c_17666,c_17664,c_17661,c_17659,c_17655,c_17651,c_17705,c_8120,c_8103,c_8086,c_6416,c_6406,c_4484,c_4474,c_4464,c_4304,c_4294,c_4284,c_3908,c_3901,c_3894,c_3848,c_3831,c_3512,c_3502,c_3492,c_2744,c_2734,c_2724,c_2213,c_2203,c_2193,c_1964,c_1954,c_1944,c_344,c_345,c_349,c_350,c_351,c_352,c_354,c_355,c_356,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_381,c_382,c_383,c_384,c_385,c_386,c_387,c_301,c_302,c_303,c_311,c_312,c_313,c_316,c_317,c_318,c_320,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_337,c_338,c_339,c_340,c_341]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN481-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n014.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 01:28:04 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39  Running EPR theorem proving
% 0.12/0.39  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
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 7.30/1.71  % SZS status Started for theBenchmark.p
% 7.30/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.30/1.71  
% 7.30/1.71  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.30/1.71  
% 7.30/1.71  % ------  iProver source info
% 7.30/1.71  
% 7.30/1.71  % git: date: 2026-07-19 20:42:38 +0200
% 7.30/1.71  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.30/1.71  % git: non_committed_changes: false
% 7.30/1.71  
% 7.30/1.71  % ------ Parsing...% successful
% 7.30/1.71  
% 7.30/1.71  
% 7.30/1.71  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 7.30/1.71  % 
% 7.30/1.71  
% 7.30/1.71  % ------ 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 % 
% 7.30/1.71  
% 7.30/1.71  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 7.30/1.71   gs_s  sp: 106 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.30/1.71  % ------ Proving...
% 7.30/1.71  % ------ Problem Properties 
% 7.30/1.71  
% 7.30/1.71  % 
% 7.30/1.71  % clauses                               198
% 7.30/1.71  % conjectures                           191
% 7.30/1.71  % EPR                                   198
% 7.30/1.71  % Horn                                  107
% 7.30/1.71  % unary                                 0
% 7.30/1.71  % binary                                92
% 7.30/1.71  % lits                                  531
% 7.30/1.71  % lits eq                               0
% 7.30/1.71  % fd_pure                               0
% 7.30/1.71  % fd_pseudo                             0
% 7.30/1.71  % fd_cond                               0
% 7.30/1.71  % fd_pseudo_cond                        0
% 7.30/1.71  % AC symbols                            0
% 7.30/1.71  
% 7.30/1.71  % ------ Schedule EPR non Horn non eq is on
% 7.30/1.71  
% 7.30/1.71  % ------ no equalities: superposition off 
% 7.30/1.71  
% 7.30/1.71  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 7.30/1.71  
% 7.30/1.71  
% 7.30/1.71  % ------ 
% 7.30/1.71  % Current options:
% 7.30/1.71  % ------ 
% 7.30/1.71  
% 7.30/1.71  
% 7.30/1.71  % 
% 7.30/1.71  
% 7.30/1.71  % ------ Proving...
% 7.30/1.71  % 
% 7.30/1.71  
% 7.30/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 7.30/1.71  
% 7.30/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.30/1.72  
% 7.30/1.72  
%------------------------------------------------------------------------------