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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN484-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n004.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 03:40:29 PM UTC 2026

% Result   : Unsatisfiable 4.36s 6.60s
% Output   : CNFRefutation 4.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  172
% Syntax   : Number of formulae    :  574 (   2 unt;   0 def)
%            Number of atoms       : 2625 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 3298 (1247   ~;2051   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   69 (  68 usr;  65 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  509 (   0 sgn 509   !;   0   ?; 387   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f23,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

fof(f26,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f31,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp21
    | hskp1
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp8
    | hskp5
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp6
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp15
    | hskp19
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp18
    | hskp21
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( c0_1(a2005)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( c2_1(a2005)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( c3_1(a2005)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( c0_1(a1978)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( c1_1(a1978)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c2_1(a1978)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c0_1(a1972)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c1_1(a1972)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c3_1(a1972)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c1_1(a1970)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c2_1(a1970)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c3_1(a1970)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c0_1(a2049)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c3_1(a2049)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c0_1(a2014)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c1_1(a2014)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c0_1(a2012)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c2_1(a2009)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( c1_1(a2003)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( c2_1(a2003)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c2_1(a2001)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c3_1(a2001)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c1_1(a1998)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c3_1(a1998)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a1996)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c3_1(a1996)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c2_1(a1993)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c1_1(a1992)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c0_1(a1991)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c2_1(a1991)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c3_1(a1990)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c2_1(a1989)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c2_1(a1987)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c3_1(a1987)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c1_1(a1985)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c3_1(a1983)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c0_1(a1981)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c1_1(a1981)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c3_1(a1979)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c1_1(a1977)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a1975)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c1_1(a1974)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c2_1(a1974)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c1_1(a1973)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c3_1(a1973)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c0_1(a1971)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c2_1(a1971)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a2049) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2041) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2041) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2041) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a2031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a2031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a2031) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a2014) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2012) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a2009) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2009) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a2003) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a2001) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1998) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1996) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1991) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1990) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1989) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1985) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1985) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1981) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1977) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1977) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1971) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1969) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1969) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1969) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( hskp27
      | hskp4
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp29
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp30
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp4
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp23
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp3
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp18
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp30
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp18
      | hskp6
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp22
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp24
      | hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp25
      | hskp24
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp17
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( hskp25
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

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

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp19
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

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

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

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

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

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

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

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

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

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

tcf(c_255,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_270,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_273,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_278,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_279,negated_conjecture,
    ( hskp1
    | hskp21
    | hskp28 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_280,negated_conjecture,
    ( hskp5
    | hskp8
    | hskp23 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_281,negated_conjecture,
    ( hskp6
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_282,negated_conjecture,
    ( hskp15
    | hskp16
    | hskp19 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_283,negated_conjecture,
    ( hskp16
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_284,negated_conjecture,
    ( c0_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_285,negated_conjecture,
    ( c2_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_286,negated_conjecture,
    ( c3_1(a2005)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_287,negated_conjecture,
    ( c0_1(a1978)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_288,negated_conjecture,
    ( c1_1(a1978)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_289,negated_conjecture,
    ( c2_1(a1978)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_290,negated_conjecture,
    ( c0_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_291,negated_conjecture,
    ( c1_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_292,negated_conjecture,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_293,negated_conjecture,
    ( c1_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_294,negated_conjecture,
    ( c2_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_295,negated_conjecture,
    ( c3_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_296,negated_conjecture,
    ( c0_1(a2049)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_297,negated_conjecture,
    ( c3_1(a2049)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_298,negated_conjecture,
    ( c0_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_299,negated_conjecture,
    ( c1_1(a2014)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_300,negated_conjecture,
    ( c0_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_301,negated_conjecture,
    ( c2_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_303,negated_conjecture,
    ( c2_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_304,negated_conjecture,
    ( c2_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_305,negated_conjecture,
    ( c3_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_306,negated_conjecture,
    ( c1_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_307,negated_conjecture,
    ( c3_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_308,negated_conjecture,
    ( c0_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_309,negated_conjecture,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_310,negated_conjecture,
    ( c2_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_311,negated_conjecture,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_312,negated_conjecture,
    ( c0_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_313,negated_conjecture,
    ( c2_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_314,negated_conjecture,
    ( c3_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_315,negated_conjecture,
    ( c2_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_316,negated_conjecture,
    ( c2_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_317,negated_conjecture,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_318,negated_conjecture,
    ( c1_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_319,negated_conjecture,
    ( c3_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_320,negated_conjecture,
    ( c0_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_321,negated_conjecture,
    ( c1_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_322,negated_conjecture,
    ( c3_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_323,negated_conjecture,
    ( c1_1(a1977)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_324,negated_conjecture,
    ( c0_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_325,negated_conjecture,
    ( c1_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_326,negated_conjecture,
    ( c2_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_327,negated_conjecture,
    ( c1_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_328,negated_conjecture,
    ( c3_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_329,negated_conjecture,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_330,negated_conjecture,
    ( c2_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_331,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a2049) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_332,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2041) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2041) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2041) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_335,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a2031) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a2031) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a2031) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a2014) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2012) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a2009) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2009) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a2003) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a2001) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1998) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1996) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1991) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1990) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1989) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1985) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1985) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1981) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1977) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1977) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1971) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1969) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1969) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1969) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp27
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp29
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_379,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp30
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_382,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp22
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp23
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp17
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp18
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp20
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp11
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp30
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp18
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp22
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp25
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp26
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp11
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_481,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_278,c_280,c_273,c_270,c_255]) ).

tcf(c_543,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_388,c_388,c_481]) ).

tcf(c_546,plain,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_387,c_280,c_273,c_270,c_255,c_387]) ).

tcf(c_547,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_546]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp17
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_280,c_273,c_270,c_255,c_386]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp23
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_280,c_273,c_270,c_255,c_385]) ).

tcf(c_555,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp22
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_280,c_273,c_270,c_255,c_384]) ).

tcf(c_558,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_383,c_280,c_273,c_270,c_255,c_387,c_383]) ).

tcf(c_561,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_382,c_280,c_273,c_270,c_255,c_382]) ).

tcf(c_564,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp30
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_381,c_280,c_273,c_270,c_255,c_381]) ).

tcf(c_567,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_380,c_280,c_273,c_270,c_255,c_380]) ).

tcf(c_570,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp28
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_379,c_280,c_273,c_270,c_255,c_379]) ).

tcf(c_573,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp29
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_378,c_280,c_273,c_270,c_255,c_378]) ).

tcf(c_576,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp27
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_280,c_273,c_270,c_255,c_377]) ).

tcf(c_579,plain,
    ! [X0: $i] :
      ( hskp17
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_280,c_273,c_270,c_255,c_402]) ).

tcf(c_580,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_579]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp14
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_280,c_273,c_270,c_255,c_401]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp14
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_585,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp25
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_280,c_273,c_270,c_255,c_400]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp25
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_585]) ).

tcf(c_588,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp12
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_280,c_273,c_270,c_255,c_399]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp12
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_591,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_280,c_273,c_270,c_255,c_398]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_591]) ).

tcf(c_594,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_280,c_273,c_270,c_255,c_397]) ).

tcf(c_595,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_594]) ).

tcf(c_597,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp24
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_280,c_273,c_270,c_255,c_396]) ).

tcf(c_598,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp24
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_597]) ).

tcf(c_600,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp22
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_280,c_273,c_270,c_255,c_395]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp22
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_600]) ).

tcf(c_603,plain,
    ! [X0: $i] :
      ( hskp6
      | hskp18
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_280,c_273,c_270,c_255,c_394]) ).

tcf(c_604,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp18
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_603]) ).

tcf(c_606,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp30
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_280,c_273,c_270,c_255,c_393]) ).

tcf(c_607,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp30
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_606]) ).

tcf(c_609,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp11
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_280,c_273,c_270,c_255,c_392]) ).

tcf(c_610,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp11
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_609]) ).

tcf(c_612,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp20
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_280,c_273,c_270,c_255,c_391]) ).

tcf(c_613,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp20
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_612]) ).

tcf(c_615,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp18
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_280,c_273,c_270,c_255,c_390]) ).

tcf(c_616,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_615]) ).

tcf(c_618,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp17
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_280,c_273,c_270,c_255,c_389]) ).

tcf(c_619,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp17
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

tcf(c_621,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_280,c_273,c_270,c_255,c_406]) ).

tcf(c_622,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp11
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_621]) ).

tcf(c_624,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp26
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_280,c_273,c_270,c_255,c_405]) ).

tcf(c_625,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp26
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_624]) ).

tcf(c_627,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp8
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_280,c_273,c_270,c_255,c_404]) ).

tcf(c_628,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp8
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_627]) ).

tcf(c_630,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp4
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_280,c_273,c_270,c_255,c_403]) ).

tcf(c_631,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp4
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_630]) ).

tcf(c_633,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_280,c_273,c_270,c_255,c_407]) ).

tcf(c_636,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_280,c_273,c_270,c_255,c_409]) ).

tcf(c_638,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_280,c_273,c_270,c_255,c_408]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_280,c_273,c_270,c_255,c_415]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_642,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_280,c_273,c_270,c_255,c_414]) ).

tcf(c_643,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_642]) ).

tcf(c_644,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | 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_413,c_280,c_273,c_270,c_255,c_413]) ).

tcf(c_645,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_644]) ).

tcf(c_646,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_280,c_273,c_270,c_255,c_412]) ).

tcf(c_647,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_646]) ).

tcf(c_648,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_280,c_273,c_270,c_255,c_411]) ).

tcf(c_649,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_648]) ).

tcf(c_650,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_280,c_273,c_270,c_255,c_410]) ).

tcf(c_651,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_650]) ).

tcf(c_652,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_280,c_273,c_270,c_255,c_427]) ).

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

tcf(c_654,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_280,c_273,c_270,c_255,c_426]) ).

tcf(c_655,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_654]) ).

tcf(c_656,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_280,c_273,c_270,c_255,c_425]) ).

tcf(c_657,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_656]) ).

tcf(c_658,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_280,c_273,c_270,c_255,c_424]) ).

tcf(c_659,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_658]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c0_1(X1)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_280,c_273,c_270,c_255,c_427,c_423]) ).

tcf(c_661,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_660]) ).

tcf(c_662,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_280,c_273,c_270,c_255,c_422]) ).

tcf(c_663,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_662]) ).

tcf(c_664,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | 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_421,c_280,c_273,c_270,c_255,c_421]) ).

tcf(c_665,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_664]) ).

tcf(c_666,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_280,c_273,c_270,c_255,c_420]) ).

tcf(c_667,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_666]) ).

tcf(c_669,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_280,c_273,c_270,c_255,c_419]) ).

tcf(c_670,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_669]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_280,c_273,c_270,c_255,c_418]) ).

tcf(c_672,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_671]) ).

tcf(c_673,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_280,c_273,c_270,c_255,c_417]) ).

tcf(c_674,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_673]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_280,c_273,c_270,c_255,c_416]) ).

tcf(c_676,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_675]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_280,c_273,c_270,c_255,c_430]) ).

tcf(c_678,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_280,c_273,c_270,c_255,c_429]) ).

tcf(c_680,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_679]) ).

tcf(c_681,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_280,c_273,c_270,c_255,c_428]) ).

tcf(c_682,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_681]) ).

tcf(c_684,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_280,c_273,c_270,c_255,c_434]) ).

tcf(c_685,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_684]) ).

tcf(c_686,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_280,c_273,c_270,c_255,c_433]) ).

tcf(c_687,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_686]) ).

tcf(c_689,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | 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_432,c_280,c_273,c_270,c_255,c_432]) ).

tcf(c_690,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_689]) ).

tcf(c_691,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_280,c_273,c_270,c_255,c_431]) ).

tcf(c_692,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_691]) ).

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_280,c_273,c_270,c_255,c_438]) ).

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

tcf(c_695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_280,c_273,c_270,c_255,c_437]) ).

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

tcf(c_697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_280,c_273,c_270,c_255,c_436]) ).

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

tcf(c_699,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_280,c_273,c_270,c_255,c_435]) ).

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

tcf(c_701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_280,c_273,c_270,c_255,c_442]) ).

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

tcf(c_703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_280,c_273,c_270,c_255,c_441]) ).

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

tcf(c_705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_280,c_273,c_270,c_255,c_440]) ).

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

tcf(c_707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_280,c_273,c_270,c_255,c_439]) ).

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

tcf(c_709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_280,c_273,c_270,c_255,c_445]) ).

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

tcf(c_711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_280,c_273,c_270,c_255,c_444]) ).

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

tcf(c_713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_280,c_273,c_270,c_255,c_443]) ).

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

tcf(c_715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_280,c_273,c_270,c_255,c_446]) ).

tcf(c_716,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_715]) ).

tcf(c_1447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_702,c_653]) ).

tcf(c_1448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_704,c_653]) ).

tcf(c_16376,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1448]) ).

tcf(c_16377,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1448]) ).

tcf(c_16378,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1448]) ).

tcf(c_16379,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1448]) ).

tcf(c_16380,plain,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1447]) ).

tcf(c_16381,plain,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1447]) ).

tcf(c_16382,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_716]) ).

tcf(c_16383,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_716]) ).

tcf(c_16384,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_716]) ).

tcf(c_16385,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_714]) ).

tcf(c_16386,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_714]) ).

tcf(c_16387,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_714]) ).

tcf(c_16388,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_712]) ).

tcf(c_16389,negated_conjecture,
    ( iPr_def_18
    | iPr_def_16
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_712]) ).

tcf(c_16390,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_710]) ).

tcf(c_16391,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_710]) ).

tcf(c_16392,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_710]) ).

tcf(c_16393,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_708]) ).

tcf(c_16394,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_708]) ).

tcf(c_16395,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_708]) ).

tcf(c_16396,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_706]) ).

tcf(c_16397,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_700]) ).

tcf(c_16398,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_700]) ).

tcf(c_16399,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).

tcf(c_16400,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_698]) ).

tcf(c_16401,negated_conjecture,
    ( iPr_def_25
    | iPr_def_22
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).

tcf(c_16402,negated_conjecture,
    ( iPr_def_25
    | iPr_def_21
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).

tcf(c_16403,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_694]) ).

tcf(c_16404,negated_conjecture,
    ( iPr_def_26
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).

tcf(c_16405,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_692]) ).

tcf(c_16406,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_692]) ).

tcf(c_16407,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).

tcf(c_16408,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_690]) ).

tcf(c_16409,negated_conjecture,
    ( iPr_def_29
    | iPr_def_16
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).

tcf(c_16410,negated_conjecture,
    ( iPr_def_28
    | iPr_def_18
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_687]) ).

tcf(c_16411,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_685]) ).

tcf(c_16412,negated_conjecture,
    ( iPr_def_30
    | iPr_def_28
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_685]) ).

tcf(c_16413,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_682]) ).

tcf(c_16414,negated_conjecture,
    ( iPr_def_31
    | iPr_def_27
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).

tcf(c_16415,negated_conjecture,
    ( iPr_def_31
    | iPr_def_20
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_16416,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_678]) ).

tcf(c_16417,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_678]) ).

tcf(c_16418,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).

tcf(c_16419,negated_conjecture,
    ( iPr_def_29
    | iPr_def_22
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).

tcf(c_16420,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_674]) ).

tcf(c_16421,negated_conjecture,
    ( iPr_def_34
    | iPr_def_12
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).

tcf(c_16422,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_672]) ).

tcf(c_16423,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).

tcf(c_16424,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_670]) ).

tcf(c_16425,negated_conjecture,
    ( iPr_def_36
    | iPr_def_31
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_670]) ).

tcf(c_16426,negated_conjecture,
    ( iPr_def_27
    | iPr_def_21
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).

tcf(c_16427,negated_conjecture,
    ( iPr_def_32
    | iPr_def_21
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_665]) ).

tcf(c_16428,negated_conjecture,
    ( iPr_def_21
    | iPr_def_17
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).

tcf(c_16429,negated_conjecture,
    ( iPr_def_12
    | iPr_def_10
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_661]) ).

tcf(c_16430,negated_conjecture,
    ( iPr_def_27
    | iPr_def_14
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).

tcf(c_16431,negated_conjecture,
    ( iPr_def_27
    | iPr_def_23
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_657]) ).

tcf(c_16432,negated_conjecture,
    ( iPr_def_33
    | iPr_def_23
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_655]) ).

tcf(c_16433,negated_conjecture,
    ( iPr_def_32
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_653]) ).

tcf(c_16434,negated_conjecture,
    ( iPr_def_22
    | iPr_def_12
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_651]) ).

tcf(c_16435,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_649]) ).

tcf(c_16436,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_649]) ).

tcf(c_16437,negated_conjecture,
    ( iPr_def_38
    | iPr_def_37
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_649]) ).

tcf(c_16438,negated_conjecture,
    ( iPr_def_37
    | iPr_def_29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_647]) ).

tcf(c_16439,negated_conjecture,
    ( iPr_def_23
    | iPr_def_19
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).

tcf(c_16440,negated_conjecture,
    ( iPr_def_26
    | iPr_def_12
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_643]) ).

tcf(c_16441,negated_conjecture,
    ( iPr_def_25
    | iPr_def_19
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_16442,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_638]) ).

tcf(c_16443,negated_conjecture,
    ( iPr_def_39
    | iPr_def_11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_638]) ).

tcf(c_16444,negated_conjecture,
    ( iPr_def_34
    | iPr_def_26
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_636]) ).

tcf(c_16445,negated_conjecture,
    ( iPr_def_37
    | iPr_def_22
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).

tcf(c_16446,negated_conjecture,
    ( iPr_def_15
    | hskp1
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).

tcf(c_16447,negated_conjecture,
    ( iPr_def_15
    | hskp3
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).

tcf(c_16448,negated_conjecture,
    ( iPr_def_28
    | hskp25
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_625]) ).

tcf(c_16449,negated_conjecture,
    ( iPr_def_29
    | hskp4
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).

tcf(c_16450,negated_conjecture,
    ( iPr_def_27
    | hskp13
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).

tcf(c_16451,negated_conjecture,
    ( iPr_def_27
    | hskp4
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_616]) ).

tcf(c_16452,negated_conjecture,
    ( iPr_def_32
    | hskp13
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_613]) ).

tcf(c_16453,negated_conjecture,
    ( iPr_def_17
    | hskp10
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).

tcf(c_16454,negated_conjecture,
    ( iPr_def_33
    | hskp15
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).

tcf(c_16455,negated_conjecture,
    ( iPr_def_33
    | hskp6
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).

tcf(c_16456,negated_conjecture,
    ( iPr_def_12
    | hskp1
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).

tcf(c_16457,negated_conjecture,
    ( iPr_def_12
    | hskp16
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).

tcf(c_16458,negated_conjecture,
    ( iPr_def_18
    | hskp11
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).

tcf(c_16459,negated_conjecture,
    ( iPr_def_30
    | hskp4
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).

tcf(c_16460,negated_conjecture,
    ( iPr_def_30
    | hskp0
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).

tcf(c_16461,negated_conjecture,
    ( iPr_def_30
    | hskp24
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

tcf(c_16462,negated_conjecture,
    ( iPr_def_24
    | hskp10
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_16463,negated_conjecture,
    ( iPr_def_34
    | hskp4
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).

tcf(c_16464,negated_conjecture,
    ( iPr_def_35
    | hskp6
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_573]) ).

tcf(c_16465,negated_conjecture,
    ( iPr_def_36
    | hskp8
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).

tcf(c_16466,negated_conjecture,
    ( iPr_def_21
    | hskp9
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_567]) ).

tcf(c_16467,negated_conjecture,
    ( iPr_def_11
    | hskp5
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).

tcf(c_16468,negated_conjecture,
    ( iPr_def_11
    | hskp4
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).

tcf(c_16469,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_558]) ).

tcf(c_16470,negated_conjecture,
    ( iPr_def_40
    | hskp1
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).

tcf(c_16471,negated_conjecture,
    ( iPr_def_25
    | hskp2
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).

tcf(c_16472,negated_conjecture,
    ( iPr_def_13
    | hskp6
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).

tcf(c_16473,negated_conjecture,
    ( iPr_def_13
    | hskp3
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).

tcf(c_16474,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_543]) ).

tcf(c_16475,negated_conjecture,
    ( iPr_def_41
    | hskp15
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_543]) ).

tcf(c_17421,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_16475,c_16474,c_16473,c_16472,c_16471,c_16470,c_16469,c_16468,c_16467,c_16466,c_16465,c_16464,c_16463,c_16462,c_16461,c_16460,c_16459,c_16458,c_16457,c_16456,c_16455,c_16454,c_16453,c_16452,c_16451,c_16450,c_16449,c_16448,c_16447,c_16446,c_16445,c_16444,c_16443,c_16442,c_16441,c_16440,c_16439,c_16438,c_16437,c_16436,c_16435,c_16434,c_16433,c_16432,c_16431,c_16430,c_16429,c_16428,c_16427,c_16426,c_16425,c_16424,c_16423,c_16422,c_16421,c_16420,c_16419,c_16418,c_16417,c_16416,c_16415,c_16414,c_16413,c_16412,c_16411,c_16410,c_16409,c_16408,c_16407,c_16406,c_16405,c_16404,c_16403,c_16402,c_16401,c_16400,c_16399,c_16398,c_16397,c_16396,c_16395,c_16394,c_16393,c_16392,c_16391,c_16390,c_16389,c_16388,c_16387,c_16386,c_16385,c_16384,c_16383,c_16382,c_16381,c_16380,c_16379,c_16378,c_16377,c_16376,c_580,c_547,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN484-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.80  % Computer : n004.cluster.edu
% 0.10/5.80  % Model    : x86_64 x86_64
% 0.10/5.80  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.80  % Memory   : 8046.5625MB
% 0.10/5.80  % OS       : Linux 6.8.0-71-generic
% 0.10/5.80  % CPULimit : 300
% 0.10/5.80  % WCLimit  : 300
% 0.10/5.80  % DateTime : Fri Sep 25 01:29:27 UTC 2026
% 0.10/5.81  % CPUTime  : 
% 0.10/5.81  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.84  Running EPR theorem proving
% 0.10/5.84  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.85  
% 0.10/5.85  % ======== iProver multi-core TPTP/SMT =========
% 0.10/5.85  
% 0.10/5.85  % Detected problem language: tptp
% 0.10/5.87  % Proving...
% 4.36/6.60  % SZS status Started for theBenchmark.p
% 4.36/6.60  % SZS status Unsatisfiable for theBenchmark.p
% 4.36/6.60  
% 4.36/6.60  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/6.60  
% 4.36/6.60  % ------  iProver source info
% 4.36/6.60  
% 4.36/6.60  % git: date: 2026-07-19 20:42:38 +0200
% 4.36/6.60  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/6.60  % git: non_committed_changes: false
% 4.36/6.60  
% 4.36/6.60  % ------ Parsing...% successful
% 4.36/6.60  
% 4.36/6.60  
% 4.36/6.60  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.36/6.60  % 
% 4.36/6.60  
% 4.36/6.60  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.36/6.60  
% 4.36/6.60  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.36/6.60   gs_s  sp: 120 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.36/6.60  % ------ Proving...
% 4.36/6.60  % ------ Problem Properties 
% 4.36/6.60  
% 4.36/6.60  % 
% 4.36/6.60  % clauses                               200
% 4.36/6.60  % conjectures                           194
% 4.36/6.60  % EPR                                   200
% 4.36/6.60  % Horn                                  111
% 4.36/6.60  % unary                                 0
% 4.36/6.60  % binary                                95
% 4.36/6.60  % lits                                  537
% 4.36/6.60  % lits eq                               0
% 4.36/6.60  % fd_pure                               0
% 4.36/6.60  % fd_pseudo                             0
% 4.36/6.60  % fd_cond                               0
% 4.36/6.60  % fd_pseudo_cond                        0
% 4.36/6.60  % AC symbols                            0
% 4.36/6.60  
% 4.36/6.60  % ------ Schedule EPR non Horn non eq is on
% 4.36/6.60  
% 4.36/6.60  % ------ no equalities: superposition off 
% 4.36/6.60  
% 4.36/6.60  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.36/6.60  
% 4.36/6.60  
% 4.36/6.60  % ------ 
% 4.36/6.60  % Current options:
% 4.36/6.60  % ------ 
% 4.36/6.60  
% 4.36/6.60  
% 4.36/6.60  % 
% 4.36/6.60  
% 4.36/6.60  % ------ Proving...
% 4.36/6.60  % 
% 4.36/6.60  
% 4.36/6.60  % SZS status Unsatisfiable for theBenchmark.p
% 4.36/6.60  
% 4.36/6.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/6.61  
% 4.36/6.61  
%------------------------------------------------------------------------------