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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:14 PM UTC 2026

% Result   : Unsatisfiable 3.73s 1.69s
% Output   : CNFRefutation 3.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  127
% Syntax   : Number of formulae    :  502 (   2 unt;   0 def)
%            Number of atoms       : 2077 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2607 (1032   ~;1575   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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  :   62 (  61 usr;  58 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  299 (   0 sgn 299   !;   0   ?; 229   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp22
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f14,negated_conjecture,
    ( ndr1_0
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

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

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

fof(f37,negated_conjecture,
    ( hskp18
    | hskp2
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( hskp23
    | hskp24
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( hskp18
    | hskp26
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c1_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c3_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c1_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( c1_1(a64)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( c3_1(a64)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c0_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c3_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c2_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f65,negated_conjecture,
    ( c3_1(a34)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c3_1(a32)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f68,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c1_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c0_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f76,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c0_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c2_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c3_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c3_1(a4)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c0_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c3_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f99,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f108,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f121,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f132,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp27
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp29
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp21
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp2
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp18
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp25
      | hskp27
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp24
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp19
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

tcf(c_233,negated_conjecture,
    ( hskp22
    | hskp11 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_234,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_246,negated_conjecture,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_262,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_264,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_269,negated_conjecture,
    ( hskp2
    | hskp18
    | hskp30 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_270,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_271,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_272,negated_conjecture,
    ( hskp2
    | hskp23
    | hskp24 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_273,negated_conjecture,
    ( hskp7
    | hskp18
    | hskp26 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_274,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_275,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_276,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_277,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_278,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_279,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_280,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_281,negated_conjecture,
    ( c1_1(a15)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_282,negated_conjecture,
    ( c3_1(a15)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_283,negated_conjecture,
    ( c1_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_284,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_285,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_287,negated_conjecture,
    ( c1_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_288,negated_conjecture,
    ( c3_1(a64)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_289,negated_conjecture,
    ( c0_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_290,negated_conjecture,
    ( c3_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_291,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_292,negated_conjecture,
    ( c2_1(a43)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_293,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_294,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_297,negated_conjecture,
    ( c3_1(a34)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_298,negated_conjecture,
    ( c3_1(a32)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_300,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_301,negated_conjecture,
    ( c1_1(a27)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_302,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_303,negated_conjecture,
    ( c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_304,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_305,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_308,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_309,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_310,negated_conjecture,
    ( c0_1(a6)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_311,negated_conjecture,
    ( c2_1(a6)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_312,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_313,negated_conjecture,
    ( c3_1(a5)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_314,negated_conjecture,
    ( c3_1(a4)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_315,negated_conjecture,
    ( c0_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_316,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_317,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_318,negated_conjecture,
    ( c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_319,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_320,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_321,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a92) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_322,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a92) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_323,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_324,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_325,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_326,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_327,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_328,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_329,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a42) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_331,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_332,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_335,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a21) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a21) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_370,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_376,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp29
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp21
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_382,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp23
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp18
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp27
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_444,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_264,c_269,c_262,c_246,c_234]) ).

tcf(c_506,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_367,c_269,c_262,c_246,c_234,c_367]) ).

tcf(c_515,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_381,c_269,c_262,c_246,c_234,c_381]) ).

tcf(c_518,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp21
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_380,c_269,c_262,c_246,c_234,c_380]) ).

tcf(c_527,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp29
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_269,c_262,c_246,c_234,c_377]) ).

tcf(c_530,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_376,c_269,c_262,c_246,c_234,c_376]) ).

tcf(c_533,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_375,c_269,c_262,c_246,c_234,c_375]) ).

tcf(c_536,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_374,c_269,c_262,c_246,c_234,c_374]) ).

tcf(c_548,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_370,c_269,c_262,c_246,c_234,c_370]) ).

tcf(c_551,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp27
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_388,c_269,c_262,c_246,c_234,c_388]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp27
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_551]) ).

tcf(c_554,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp18
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_387,c_269,c_262,c_246,c_234,c_387]) ).

tcf(c_555,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp18
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_554]) ).

tcf(c_560,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_269,c_262,c_246,c_234,c_385]) ).

tcf(c_561,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_560]) ).

tcf(c_563,plain,
    ! [X0: $i] :
      ( hskp2
      | hskp23
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_269,c_262,c_246,c_234,c_384]) ).

tcf(c_564,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp23
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_563]) ).

tcf(c_569,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_382,c_269,c_262,c_246,c_234,c_382]) ).

tcf(c_570,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp15
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_569]) ).

tcf(c_572,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_389,c_389,c_444]) ).

tcf(c_575,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_269,c_262,c_246,c_234,c_391]) ).

tcf(c_578,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | 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_390,c_269,c_262,c_246,c_234,c_390]) ).

tcf(c_580,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_269,c_262,c_246,c_234,c_398]) ).

tcf(c_581,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_580]) ).

tcf(c_583,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_269,c_262,c_246,c_234,c_397]) ).

tcf(c_584,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_583]) ).

tcf(c_585,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_269,c_262,c_246,c_234,c_396]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_585]) ).

tcf(c_587,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_269,c_262,c_246,c_234,c_395]) ).

tcf(c_588,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_587]) ).

tcf(c_589,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_269,c_262,c_246,c_234,c_394]) ).

tcf(c_590,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_589]) ).

tcf(c_594,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_269,c_262,c_246,c_234,c_392]) ).

tcf(c_595,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_594]) ).

tcf(c_596,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_269,c_262,c_246,c_234,c_403]) ).

tcf(c_597,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_596]) ).

tcf(c_598,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_269,c_262,c_246,c_234,c_402]) ).

tcf(c_599,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_598]) ).

tcf(c_602,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_269,c_262,c_246,c_234,c_400]) ).

tcf(c_603,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_602]) ).

tcf(c_604,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_269,c_262,c_246,c_234,c_399]) ).

tcf(c_605,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_604]) ).

tcf(c_606,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_269,c_262,c_246,c_234,c_408]) ).

tcf(c_607,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_606]) ).

tcf(c_610,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_269,c_262,c_246,c_234,c_406]) ).

tcf(c_611,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_610]) ).

tcf(c_612,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_269,c_262,c_246,c_234,c_405]) ).

tcf(c_613,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_612]) ).

tcf(c_614,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_269,c_262,c_246,c_234,c_404]) ).

tcf(c_615,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_614]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_269,c_262,c_246,c_234,c_409]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_269,c_262,c_246,c_234,c_411]) ).

tcf(c_619,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

tcf(c_620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_269,c_262,c_246,c_234,c_410]) ).

tcf(c_621,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_620]) ).

tcf(c_622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_269,c_262,c_246,c_234,c_412]) ).

tcf(c_623,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_622]) ).

tcf(c_624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_269,c_262,c_246,c_234,c_413]) ).

tcf(c_625,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_624]) ).

tcf(c_626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_269,c_262,c_246,c_234,c_414]) ).

tcf(c_627,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_626]) ).

tcf(c_628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_269,c_262,c_246,c_234,c_415]) ).

tcf(c_629,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_628]) ).

tcf(c_630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_269,c_262,c_246,c_234,c_416]) ).

tcf(c_631,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_630]) ).

tcf(c_1703,plain,
    ( hskp7
    | hskp18
    | ~ c3_1(a92) ),
    inference(resolution,[status(thm)],[c_273,c_322]) ).

tcf(c_1713,plain,
    ( hskp7
    | hskp18
    | ~ c0_1(a92) ),
    inference(resolution,[status(thm)],[c_273,c_321]) ).

tcf(c_2027,plain,
    ! [X0: $i] :
      ( hskp27
      | c3_1(X0)
      | ~ c2_1(a64)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_552,c_323]) ).

tcf(c_2028,plain,
    ( hskp27
    | c3_1(a1)
    | ~ c1_1(a1)
    | ~ c2_1(a1)
    | ~ c2_1(a64) ),
    inference(instantiation,[status(thm)],[c_2027]) ).

tcf(c_2044,plain,
    ! [X0: $i] :
      ( hskp27
      | c3_1(a64)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_552,c_288]) ).

tcf(c_2045,plain,
    ( hskp27
    | c3_1(a1)
    | c3_1(a64)
    | ~ c1_1(a1)
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_2044]) ).

tcf(c_2061,plain,
    ! [X0: $i] :
      ( hskp27
      | c1_1(a64)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_552,c_287]) ).

tcf(c_2062,plain,
    ( hskp27
    | c1_1(a64)
    | c3_1(a1)
    | ~ c1_1(a1)
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_2061]) ).

tcf(c_2342,plain,
    ! [X0: $i] :
      ( hskp4
      | c0_1(X0)
      | ~ c2_1(a27)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_570,c_340]) ).

tcf(c_2343,plain,
    ( hskp4
    | c0_1(a1)
    | ~ c1_1(a1)
    | ~ c2_1(a1)
    | ~ c2_1(a27) ),
    inference(instantiation,[status(thm)],[c_2342]) ).

tcf(c_2359,plain,
    ! [X0: $i] :
      ( hskp4
      | c1_1(a27)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_570,c_301]) ).

tcf(c_2360,plain,
    ( hskp4
    | c1_1(a27)
    | c0_1(a1)
    | ~ c1_1(a1)
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_2359]) ).

tcf(c_2376,plain,
    ! [X0: $i] :
      ( hskp4
      | c0_1(a27)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_570,c_300]) ).

tcf(c_2377,plain,
    ( hskp4
    | c0_1(a1)
    | c0_1(a27)
    | ~ c1_1(a1)
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_2376]) ).

tcf(c_2528,plain,
    ( hskp22
    | ~ c3_1(a19) ),
    inference(resolution,[status(thm)],[c_233,c_349]) ).

tcf(c_2535,plain,
    ( hskp22
    | c1_1(a19) ),
    inference(resolution,[status(thm)],[c_233,c_304]) ).

tcf(c_2542,plain,
    ( hskp22
    | c0_1(a19) ),
    inference(resolution,[status(thm)],[c_233,c_303]) ).

tcf(c_2645,plain,
    ( hskp2
    | hskp23
    | ~ c1_1(a58) ),
    inference(resolution,[status(thm)],[c_272,c_324]) ).

tcf(c_2655,plain,
    ( hskp2
    | hskp23
    | c3_1(a58) ),
    inference(resolution,[status(thm)],[c_272,c_290]) ).

tcf(c_2665,plain,
    ( hskp2
    | hskp23
    | c0_1(a58) ),
    inference(resolution,[status(thm)],[c_272,c_289]) ).

tcf(c_2774,plain,
    ( hskp27
    | hskp30
    | ~ c2_1(a32) ),
    inference(resolution,[status(thm)],[c_271,c_337]) ).

tcf(c_2784,plain,
    ( hskp27
    | hskp30
    | ~ c0_1(a32) ),
    inference(resolution,[status(thm)],[c_271,c_336]) ).

tcf(c_2794,plain,
    ( hskp27
    | hskp30
    | c3_1(a32) ),
    inference(resolution,[status(thm)],[c_271,c_298]) ).

tcf(c_3374,plain,
    ( hskp2
    | hskp18
    | c3_1(a33) ),
    inference(resolution,[status(thm)],[c_269,c_276]) ).

tcf(c_3384,plain,
    ( hskp2
    | hskp18
    | c2_1(a33) ),
    inference(resolution,[status(thm)],[c_269,c_275]) ).

tcf(c_3394,plain,
    ( hskp2
    | hskp18
    | c0_1(a33) ),
    inference(resolution,[status(thm)],[c_269,c_274]) ).

tcf(c_5225,plain,
    ( hskp7
    | hskp30
    | c3_1(a10) ),
    inference(resolution,[status(thm)],[c_270,c_285]) ).

tcf(c_5235,plain,
    ( hskp7
    | hskp30
    | c2_1(a10) ),
    inference(resolution,[status(thm)],[c_270,c_284]) ).

tcf(c_5245,plain,
    ( hskp7
    | hskp30
    | c1_1(a10) ),
    inference(resolution,[status(thm)],[c_270,c_283]) ).

tcf(c_5510,plain,
    ( hskp2
    | hskp30
    | ~ c2_1(a34) ),
    inference(resolution,[status(thm)],[c_269,c_335]) ).

tcf(c_5520,plain,
    ( hskp2
    | hskp30
    | ~ c1_1(a34) ),
    inference(resolution,[status(thm)],[c_269,c_334]) ).

tcf(c_5530,plain,
    ( hskp2
    | hskp30
    | c3_1(a34) ),
    inference(resolution,[status(thm)],[c_269,c_297]) ).

tcf(c_14440,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_631]) ).

tcf(c_14441,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_631]) ).

tcf(c_14442,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_631]) ).

tcf(c_14443,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).

tcf(c_14444,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_629]) ).

tcf(c_14445,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_629]) ).

tcf(c_14446,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_14447,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_627]) ).

tcf(c_14448,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_627]) ).

tcf(c_14449,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).

tcf(c_14450,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_625]) ).

tcf(c_14451,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_625]) ).

tcf(c_14452,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_625]) ).

tcf(c_14453,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_625]) ).

tcf(c_14454,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_623]) ).

tcf(c_14455,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_623]) ).

tcf(c_14456,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).

tcf(c_14457,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_621]) ).

tcf(c_14458,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_621]) ).

tcf(c_14460,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_619]) ).

tcf(c_14461,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_619]) ).

tcf(c_14462,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).

tcf(c_14463,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_617]) ).

tcf(c_14464,negated_conjecture,
    ( iPr_def_26
    | iPr_def_11
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_14465,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_615]) ).

tcf(c_14468,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_613]) ).

tcf(c_14469,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_611]) ).

tcf(c_14470,negated_conjecture,
    ( iPr_def_29
    | iPr_def_11
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).

tcf(c_14473,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_607]) ).

tcf(c_14475,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).

tcf(c_14476,negated_conjecture,
    ( iPr_def_31
    | iPr_def_29
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_603]) ).

tcf(c_14478,negated_conjecture,
    ( iPr_def_25
    | iPr_def_14
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).

tcf(c_14479,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_597]) ).

tcf(c_14481,negated_conjecture,
    ( iPr_def_23
    | iPr_def_14
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).

tcf(c_14484,negated_conjecture,
    ( iPr_def_27
    | iPr_def_20
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_590]) ).

tcf(c_14485,negated_conjecture,
    ( iPr_def_27
    | iPr_def_21
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_588]) ).

tcf(c_14486,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_586]) ).

tcf(c_14487,negated_conjecture,
    ( iPr_def_34
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

tcf(c_14488,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_584]) ).

tcf(c_14489,negated_conjecture,
    ( iPr_def_35
    | iPr_def_21
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_584]) ).

tcf(c_14490,negated_conjecture,
    ( iPr_def_32
    | iPr_def_25
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_581]) ).

tcf(c_14491,negated_conjecture,
    ( iPr_def_25
    | iPr_def_23
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).

tcf(c_14492,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_575]) ).

tcf(c_14493,negated_conjecture,
    ( iPr_def_36
    | iPr_def_21
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_575]) ).

tcf(c_14494,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_572]) ).

tcf(c_14495,negated_conjecture,
    ( iPr_def_37
    | iPr_def_23
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).

tcf(c_14498,negated_conjecture,
    ( iPr_def_26
    | hskp2
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).

tcf(c_14499,negated_conjecture,
    ( iPr_def_26
    | hskp0
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).

tcf(c_14501,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_555]) ).

tcf(c_14502,negated_conjecture,
    ( iPr_def_38
    | hskp14
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).

tcf(c_14503,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_552]) ).

tcf(c_14504,negated_conjecture,
    ( iPr_def_39
    | hskp25
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).

tcf(c_14505,negated_conjecture,
    ( iPr_def_22
    | hskp0
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).

tcf(c_14510,negated_conjecture,
    ( iPr_def_20
    | hskp27
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).

tcf(c_14511,negated_conjecture,
    ( iPr_def_27
    | hskp6
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_533]) ).

tcf(c_14512,negated_conjecture,
    ( iPr_def_27
    | hskp12
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).

tcf(c_14513,negated_conjecture,
    ( iPr_def_35
    | hskp14
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).

tcf(c_14516,negated_conjecture,
    ( iPr_def_24
    | hskp0
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

tcf(c_14517,negated_conjecture,
    ( iPr_def_25
    | hskp2
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

tcf(c_14534,plain,
    ( c3_1(a1)
    | c0_1(a1)
    | ~ iPr_def_35
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_14488]) ).

tcf(c_14538,plain,
    ( c0_1(a1)
    | ~ iPr_def_15
    | ~ c3_1(a1)
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_14447]) ).

tcf(c_14540,plain,
    ( c0_1(a1)
    | ~ iPr_def_17
    | ~ c1_1(a1)
    | ~ c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

tcf(c_14559,plain,
    ( c1_1(a58)
    | ~ iPr_def_14
    | ~ c2_1(a58)
    | ~ c0_1(a58) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

tcf(c_14562,plain,
    ( c1_1(a6)
    | ~ iPr_def_14
    | ~ c2_1(a6)
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

tcf(c_14563,plain,
    ( c1_1(a3)
    | ~ iPr_def_14
    | ~ c2_1(a3)
    | ~ c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

tcf(c_14566,plain,
    ( c1_1(a43)
    | c3_1(a43)
    | ~ iPr_def_18
    | ~ c2_1(a43) ),
    inference(instantiation,[status(thm)],[c_14451]) ).

tcf(c_14577,plain,
    ( c2_1(a32)
    | c0_1(a32)
    | ~ iPr_def_20
    | ~ c1_1(a32) ),
    inference(instantiation,[status(thm)],[c_14454]) ).

tcf(c_14579,plain,
    ( c2_1(a12)
    | c0_1(a12)
    | ~ iPr_def_20
    | ~ c1_1(a12) ),
    inference(instantiation,[status(thm)],[c_14454]) ).

tcf(c_14583,plain,
    ( c1_1(a34)
    | c2_1(a34)
    | c0_1(a34)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14458]) ).

tcf(c_14584,plain,
    ( c1_1(a32)
    | c2_1(a32)
    | c0_1(a32)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14458]) ).

tcf(c_14585,plain,
    ( c1_1(a26)
    | c2_1(a26)
    | c0_1(a26)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14458]) ).

tcf(c_14600,plain,
    ( c1_1(a22)
    | c2_1(a22)
    | c0_1(a22)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14458]) ).

tcf(c_14601,plain,
    ( c2_1(a22)
    | c0_1(a22)
    | ~ iPr_def_20
    | ~ c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_14454]) ).

tcf(c_14602,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a64)
    | ~ c3_1(a64)
    | ~ c0_1(a64) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_14608,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2)
    | ~ c3_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_14614,plain,
    ( c0_1(a4)
    | ~ iPr_def_15
    | ~ c3_1(a4)
    | ~ c2_1(a4) ),
    inference(instantiation,[status(thm)],[c_14447]) ).

tcf(c_14616,plain,
    ( c2_1(a64)
    | ~ iPr_def_19
    | ~ c3_1(a64)
    | ~ c0_1(a64) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

tcf(c_14617,plain,
    ( c2_1(a58)
    | ~ iPr_def_19
    | ~ c3_1(a58)
    | ~ c0_1(a58) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

tcf(c_14618,plain,
    ( c2_1(a34)
    | ~ iPr_def_19
    | ~ c3_1(a34)
    | ~ c0_1(a34) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

tcf(c_14622,plain,
    ( c2_1(a2)
    | ~ iPr_def_19
    | ~ c3_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

tcf(c_14625,plain,
    ( c1_1(a21)
    | c3_1(a21)
    | ~ iPr_def_21
    | ~ c0_1(a21) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_14627,plain,
    ( c1_1(a6)
    | c3_1(a6)
    | ~ iPr_def_21
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_14628,plain,
    ( c1_1(a3)
    | c3_1(a3)
    | ~ iPr_def_21
    | ~ c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_14636,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ iPr_def_24
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_14460]) ).

tcf(c_14638,plain,
    ( c0_1(a10)
    | ~ iPr_def_15
    | ~ c3_1(a10)
    | ~ c2_1(a10) ),
    inference(instantiation,[status(thm)],[c_14447]) ).

tcf(c_14639,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a10)
    | ~ c3_1(a10)
    | ~ c0_1(a10) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_14640,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a10)
    | ~ c3_1(a10)
    | ~ c2_1(a10) ),
    inference(instantiation,[status(thm)],[c_14441]) ).

tcf(c_14641,plain,
    ( c2_1(a10)
    | c0_1(a10)
    | ~ iPr_def_27
    | ~ c3_1(a10) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_14642,plain,
    ( c2_1(a64)
    | c0_1(a64)
    | ~ iPr_def_27
    | ~ c3_1(a64) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_14644,plain,
    ( c2_1(a34)
    | c0_1(a34)
    | ~ iPr_def_27
    | ~ c3_1(a34) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_14645,plain,
    ( c2_1(a32)
    | c0_1(a32)
    | ~ iPr_def_27
    | ~ c3_1(a32) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_14647,plain,
    ( c2_1(a4)
    | c0_1(a4)
    | ~ iPr_def_27
    | ~ c3_1(a4) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_14661,plain,
    ( c3_1(a6)
    | ~ iPr_def_16
    | ~ c2_1(a6)
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_14448]) ).

tcf(c_14665,plain,
    ( c1_1(a52)
    | c3_1(a52)
    | ~ iPr_def_21
    | ~ c0_1(a52) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_14671,plain,
    ( c3_1(a52)
    | c2_1(a52)
    | ~ iPr_def_25
    | ~ c0_1(a52) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

tcf(c_14673,plain,
    ( c3_1(a19)
    | c2_1(a19)
    | ~ iPr_def_25
    | ~ c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

tcf(c_14677,plain,
    ( c1_1(a36)
    | c2_1(a36)
    | c0_1(a36)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14458]) ).

tcf(c_14679,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a25)
    | ~ c2_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_14440]) ).

tcf(c_14682,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a19)
    | ~ c2_1(a19)
    | ~ c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_14440]) ).

tcf(c_14683,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a6)
    | ~ c2_1(a6)
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_14440]) ).

tcf(c_14686,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | ~ iPr_def_25
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

tcf(c_14689,plain,
    ( c1_1(a8)
    | c3_1(a8)
    | ~ iPr_def_21
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_14695,plain,
    ( c3_1(a22)
    | c2_1(a22)
    | ~ iPr_def_32
    | ~ c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_14479]) ).

tcf(c_14697,plain,
    ( c3_1(a19)
    | c2_1(a19)
    | ~ iPr_def_32
    | ~ c1_1(a19) ),
    inference(instantiation,[status(thm)],[c_14479]) ).

tcf(c_14703,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a25)
    | ~ c3_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_14710,plain,
    ( c2_1(a52)
    | ~ iPr_def_19
    | ~ c3_1(a52)
    | ~ c0_1(a52) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

tcf(c_14720,plain,
    ( c2_1(a27)
    | ~ iPr_def_19
    | ~ c3_1(a27)
    | ~ c0_1(a27) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

tcf(c_14721,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a27)
    | ~ c3_1(a27)
    | ~ c0_1(a27) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_14723,plain,
    ( c3_1(a27)
    | c2_1(a27)
    | ~ iPr_def_25
    | ~ c0_1(a27) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

tcf(c_14734,plain,
    ( c3_1(a19)
    | ~ iPr_def_39
    | ~ c1_1(a19)
    | ~ c2_1(a19) ),
    inference(instantiation,[status(thm)],[c_14503]) ).

tcf(c_14739,plain,
    ( c3_1(a6)
    | ~ iPr_def_39
    | ~ c1_1(a6)
    | ~ c2_1(a6) ),
    inference(instantiation,[status(thm)],[c_14503]) ).

tcf(c_14746,plain,
    ( c3_1(a12)
    | c2_1(a12)
    | ~ iPr_def_25
    | ~ c0_1(a12) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

tcf(c_14764,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a33)
    | ~ c3_1(a33)
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_14769,plain,
    ( c1_1(a33)
    | ~ iPr_def_14
    | ~ c2_1(a33)
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

tcf(c_14772,plain,
    ( c1_1(a43)
    | ~ iPr_def_14
    | ~ c2_1(a43)
    | ~ c0_1(a43) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

tcf(c_14774,plain,
    ( c1_1(a5)
    | ~ iPr_def_14
    | ~ c2_1(a5)
    | ~ c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

tcf(c_14792,plain,
    ( c1_1(a52)
    | c3_1(a52)
    | c2_1(a52)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_14492]) ).

tcf(c_14817,plain,
    ( c1_1(a43)
    | c0_1(a43)
    | ~ iPr_def_22
    | ~ c2_1(a43) ),
    inference(instantiation,[status(thm)],[c_14457]) ).

tcf(c_14820,plain,
    ( c1_1(a5)
    | c0_1(a5)
    | ~ iPr_def_22
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_14457]) ).

tcf(c_14839,plain,
    ( c1_1(a5)
    | ~ iPr_def_26
    | ~ c3_1(a5)
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_14463]) ).

tcf(c_14846,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ iPr_def_29
    | ~ c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

tcf(c_14851,plain,
    ( c3_1(a22)
    | c0_1(a22)
    | ~ iPr_def_34
    | ~ c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_14486]) ).

tcf(c_14853,plain,
    ( c3_1(a9)
    | c0_1(a9)
    | ~ iPr_def_34
    | ~ c1_1(a9) ),
    inference(instantiation,[status(thm)],[c_14486]) ).

tcf(c_14864,plain,
    ( c3_1(a43)
    | c0_1(a43)
    | ~ iPr_def_35
    | ~ c2_1(a43) ),
    inference(instantiation,[status(thm)],[c_14488]) ).

tcf(c_14883,plain,
    ( c0_1(a10)
    | ~ iPr_def_17
    | ~ c1_1(a10)
    | ~ c2_1(a10) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

tcf(c_14902,plain,
    ( c2_1(a2)
    | ~ iPr_def_38
    | ~ c1_1(a2)
    | ~ c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_14501]) ).

tcf(c_14970,plain,
    ( c2_1(a64)
    | ~ iPr_def_38
    | ~ c1_1(a64)
    | ~ c3_1(a64) ),
    inference(instantiation,[status(thm)],[c_14501]) ).

tcf(c_14984,plain,
    ( c0_1(a42)
    | ~ iPr_def_15
    | ~ c3_1(a42)
    | ~ c2_1(a42) ),
    inference(instantiation,[status(thm)],[c_14447]) ).

tcf(c_14997,plain,
    ( c1_1(a36)
    | c3_1(a36)
    | ~ iPr_def_21
    | ~ c0_1(a36) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_15012,plain,
    ( c1_1(a3)
    | ~ iPr_def_26
    | ~ c3_1(a3)
    | ~ c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_14463]) ).

tcf(c_15029,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a15)
    | ~ c3_1(a15)
    | ~ c0_1(a15) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

tcf(c_15031,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a33)
    | ~ c3_1(a33)
    | ~ c2_1(a33) ),
    inference(instantiation,[status(thm)],[c_14441]) ).

tcf(c_15037,plain,
    ( hskp4
    | c1_1(a22)
    | c3_1(a22)
    | c0_1(a22) ),
    inference(instantiation,[status(thm)],[c_506]) ).

tcf(c_15052,plain,
    ( c1_1(a34)
    | c2_1(a34)
    | ~ iPr_def_24
    | ~ c0_1(a34) ),
    inference(instantiation,[status(thm)],[c_14460]) ).

tcf(c_15117,plain,
    ( c2_1(a64)
    | ~ iPr_def_13
    | ~ c1_1(a64)
    | ~ c0_1(a64) ),
    inference(instantiation,[status(thm)],[c_14444]) ).

tcf(c_15187,plain,
    ( c2_1(a9)
    | c0_1(a9)
    | ~ iPr_def_27
    | ~ c3_1(a9) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_15218,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a25)
    | ~ c3_1(a25)
    | ~ c2_1(a25) ),
    inference(instantiation,[status(thm)],[c_14441]) ).

tcf(c_15254,plain,
    ( c1_1(a26)
    | c2_1(a26)
    | ~ iPr_def_29
    | ~ c3_1(a26) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

tcf(c_15259,plain,
    ( c2_1(a26)
    | c0_1(a26)
    | ~ iPr_def_27
    | ~ c3_1(a26) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

tcf(c_15275,plain,
    ( c2_1(a2)
    | ~ iPr_def_13
    | ~ c1_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_14444]) ).

tcf(c_15298,plain,
    ( c2_1(a8)
    | ~ iPr_def_13
    | ~ c1_1(a8)
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_14444]) ).

tcf(c_15311,plain,
    ( c1_1(a43)
    | c3_1(a43)
    | ~ iPr_def_21
    | ~ c0_1(a43) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

tcf(c_15324,plain,
    ( c1_1(a34)
    | c2_1(a34)
    | ~ iPr_def_29
    | ~ c3_1(a34) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

tcf(c_15330,plain,
    ( c3_1(a25)
    | ~ iPr_def_31
    | ~ c1_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_14473]) ).

tcf(c_15333,plain,
    ( c3_1(a19)
    | ~ iPr_def_31
    | ~ c1_1(a19)
    | ~ c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_14473]) ).

tcf(c_15362,plain,
    ( c3_1(a92)
    | c0_1(a92)
    | ~ iPr_def_34
    | ~ c1_1(a92) ),
    inference(instantiation,[status(thm)],[c_14486]) ).

tcf(c_15364,plain,
    ( hskp4
    | c1_1(a92)
    | c3_1(a92)
    | c0_1(a92) ),
    inference(instantiation,[status(thm)],[c_506]) ).

tcf(c_15367,plain,
    ( c3_1(a26)
    | c2_1(a26)
    | c0_1(a26)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_14494]) ).

tcf(c_15368,plain,
    ( c3_1(a22)
    | c2_1(a22)
    | c0_1(a22)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_14494]) ).

tcf(c_15387,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15368,c_15367,c_15362,c_15364,c_15333,c_15330,c_15324,c_15311,c_15298,c_15275,c_15254,c_15259,c_15218,c_15187,c_15117,c_15052,c_15037,c_15031,c_15029,c_15012,c_14997,c_14984,c_14970,c_14902,c_14883,c_14864,c_14853,c_14851,c_14846,c_14839,c_14820,c_14817,c_14792,c_14774,c_14772,c_14769,c_14764,c_14746,c_14739,c_14734,c_14720,c_14721,c_14723,c_14710,c_14703,c_14697,c_14695,c_14686,c_14689,c_14683,c_14682,c_14679,c_14677,c_14673,c_14671,c_14665,c_14661,c_14647,c_14645,c_14644,c_14642,c_14641,c_14638,c_14639,c_14640,c_14636,c_14628,c_14627,c_14625,c_14622,c_14618,c_14617,c_14616,c_14614,c_14608,c_14602,c_14600,c_14601,c_14585,c_14584,c_14583,c_14579,c_14577,c_14566,c_14563,c_14562,c_14559,c_14540,c_14538,c_14534,c_14517,c_14516,c_14513,c_14512,c_14511,c_14510,c_14505,c_14504,c_14502,c_14499,c_14498,c_14495,c_14493,c_14491,c_14490,c_14489,c_14487,c_14485,c_14484,c_14481,c_14478,c_14476,c_14475,c_14470,c_14468,c_14464,c_14462,c_14456,c_14453,c_14449,c_14446,c_14443,c_5530,c_5520,c_5510,c_5245,c_5235,c_5225,c_3394,c_3384,c_3374,c_2794,c_2784,c_2774,c_2665,c_2655,c_2645,c_2542,c_2535,c_2528,c_2377,c_2360,c_2343,c_2062,c_2045,c_2028,c_1713,c_1703,c_323,c_325,c_326,c_327,c_328,c_329,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_353,c_354,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_364,c_365,c_366,c_274,c_275,c_276,c_277,c_278,c_279,c_280,c_281,c_282,c_283,c_284,c_285,c_287,c_288,c_291,c_292,c_293,c_294,c_297,c_302,c_303,c_304,c_305,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_269,c_233]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN443-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n017.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 01:07:16 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.40  Running EPR theorem proving
% 0.03/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.41  
% 0.03/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41  
% 0.03/0.41  % Detected problem language: tptp
% 0.03/0.42  % Proving...
% 3.73/1.69  % SZS status Started for theBenchmark.p
% 3.73/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.69  
% 3.73/1.69  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.73/1.69  
% 3.73/1.69  % ------  iProver source info
% 3.73/1.69  
% 3.73/1.69  % git: date: 2026-07-19 20:42:38 +0200
% 3.73/1.69  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.73/1.69  % git: non_committed_changes: false
% 3.73/1.69  
% 3.73/1.69  % ------ Parsing...% successful
% 3.73/1.69  
% 3.73/1.69  
% 3.73/1.69  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.73/1.69  % 
% 3.73/1.69  
% 3.73/1.69  % ------ 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 % 
% 3.73/1.69  
% 3.73/1.69  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.73/1.69   gs_s  sp: 84 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.73/1.69  % ------ Proving...
% 3.73/1.69  % ------ Problem Properties 
% 3.73/1.69  
% 3.73/1.69  % 
% 3.73/1.69  % clauses                               183
% 3.73/1.69  % conjectures                           180
% 3.73/1.69  % EPR                                   183
% 3.73/1.69  % Horn                                  105
% 3.73/1.69  % unary                                 0
% 3.73/1.69  % binary                                91
% 3.73/1.69  % lits                                  490
% 3.73/1.69  % lits eq                               0
% 3.73/1.69  % fd_pure                               0
% 3.73/1.69  % fd_pseudo                             0
% 3.73/1.69  % fd_cond                               0
% 3.73/1.69  % fd_pseudo_cond                        0
% 3.73/1.69  % AC symbols                            0
% 3.73/1.69  
% 3.73/1.69  % ------ Schedule EPR non Horn non eq is on
% 3.73/1.69  
% 3.73/1.69  % ------ no equalities: superposition off 
% 3.73/1.69  
% 3.73/1.69  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.73/1.69  
% 3.73/1.69  
% 3.73/1.69  % ------ 
% 3.73/1.69  % Current options:
% 3.73/1.69  % ------ 
% 3.73/1.69  
% 3.73/1.69  
% 3.73/1.69  % 
% 3.73/1.69  
% 3.73/1.69  % ------ Proving...
% 3.73/1.69  % 
% 3.73/1.69  
% 3.73/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 3.73/1.69  
% 3.73/1.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.73/1.70  
% 3.73/1.70  
%------------------------------------------------------------------------------