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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN455-1 : 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 : n002.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 03:40:18 PM UTC 2026

% Result   : Unsatisfiable 3.03s 11.16s
% Output   : CNFRefutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  112
% Syntax   : Number of formulae    :  417 (   2 unt;   0 def)
%            Number of atoms       : 1757 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2212 ( 872   ~;1340   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   53 (  52 usr;  49 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  272 (   0 sgn 272   !;   0   ?; 207   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f18,negated_conjecture,
    ( ndr1_0
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f19,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

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

fof(f33,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( hskp21
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( c0_1(a942)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( c1_1(a942)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( c2_1(a942)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f41,negated_conjecture,
    ( c0_1(a916)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c1_1(a916)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c3_1(a916)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c1_1(a900)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c2_1(a900)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c3_1(a900)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f49,negated_conjecture,
    ( c0_1(a960)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c3_1(a960)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c1_1(a954)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c3_1(a954)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f55,negated_conjecture,
    ( c0_1(a939)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f61,negated_conjecture,
    ( c2_1(a924)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c3_1(a923)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c2_1(a921)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c1_1(a917)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c3_1(a917)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c0_1(a914)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c3_1(a914)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c1_1(a912)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c2_1(a912)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c2_1(a910)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f72,negated_conjecture,
    ( c1_1(a908)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f74,negated_conjecture,
    ( c1_1(a907)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c0_1(a906)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c2_1(a906)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a905)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c0_1(a904)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c0_1(a903)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c0_1(a902)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c2_1(a902)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f83,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f87,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f89,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f97,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f101,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f114,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( hskp27
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp2
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp12
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp30
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp6
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp1
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp3
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp21
      | hskp25
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp21
      | hskp10
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    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)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

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

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp25
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c0_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',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

tcf(c_242,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_250,negated_conjecture,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_251,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_263,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_265,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp20 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_266,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp21 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_267,negated_conjecture,
    ( c0_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_268,negated_conjecture,
    ( c1_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_269,negated_conjecture,
    ( c2_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_273,negated_conjecture,
    ( c0_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_274,negated_conjecture,
    ( c1_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_275,negated_conjecture,
    ( c3_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_276,negated_conjecture,
    ( c1_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_277,negated_conjecture,
    ( c2_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_278,negated_conjecture,
    ( c3_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_281,negated_conjecture,
    ( c0_1(a960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_282,negated_conjecture,
    ( c3_1(a960)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_283,negated_conjecture,
    ( c1_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_284,negated_conjecture,
    ( c3_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_287,negated_conjecture,
    ( c0_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_293,negated_conjecture,
    ( c2_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_294,negated_conjecture,
    ( c3_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_295,negated_conjecture,
    ( c2_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_296,negated_conjecture,
    ( c1_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_297,negated_conjecture,
    ( c3_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_298,negated_conjecture,
    ( c0_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_299,negated_conjecture,
    ( c3_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_300,negated_conjecture,
    ( c1_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_301,negated_conjecture,
    ( c2_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_302,negated_conjecture,
    ( c2_1(a910)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_304,negated_conjecture,
    ( c1_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_306,negated_conjecture,
    ( c1_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_307,negated_conjecture,
    ( c0_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_308,negated_conjecture,
    ( c2_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_309,negated_conjecture,
    ( c3_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_310,negated_conjecture,
    ( c0_1(a904)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_311,negated_conjecture,
    ( c0_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_312,negated_conjecture,
    ( c0_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_313,negated_conjecture,
    ( c2_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_315,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_319,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_321,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_322,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_323,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_324,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a939) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_325,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_329,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_330,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_331,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_335,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_361,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp2
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp17
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp30
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_373,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp14
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp23
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp14
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp25
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp21
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

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

tcf(c_396,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

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

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

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

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

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

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

tcf(c_450,plain,
    ( hskp15
    | c0_1(a900)
    | ~ ndr1_0
    | ~ c3_1(a900)
    | ~ c2_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_451,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_263,c_266,c_251,c_250,c_242]) ).

tcf(c_516,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_362,c_266,c_251,c_250,c_242,c_362]) ).

tcf(c_519,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_361,c_266,c_251,c_250,c_242,c_361]) ).

tcf(c_522,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_360,c_266,c_251,c_250,c_242,c_360]) ).

tcf(c_528,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp23
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_375,c_266,c_251,c_250,c_242,c_375]) ).

tcf(c_531,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp14
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_374,c_266,c_251,c_250,c_242,c_374]) ).

tcf(c_534,plain,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_373,c_266,c_251,c_250,c_242,c_373]) ).

tcf(c_535,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_534]) ).

tcf(c_537,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp30
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_372,c_266,c_251,c_250,c_242,c_372]) ).

tcf(c_546,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp17
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_369,c_266,c_251,c_250,c_242,c_369]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp2
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_368,c_266,c_251,c_250,c_242,c_368]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_367,c_266,c_251,c_250,c_242,c_367]) ).

tcf(c_558,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_365,c_266,c_251,c_250,c_242,c_365]) ).

tcf(c_573,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp21
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_266,c_251,c_250,c_242,c_385]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp21
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_573]) ).

tcf(c_576,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp25
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_266,c_251,c_250,c_242,c_384]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp25
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_576]) ).

tcf(c_588,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_380,c_266,c_251,c_250,c_242,c_380]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp13
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_594,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp14
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_378,c_266,c_251,c_250,c_242,c_378]) ).

tcf(c_595,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp14
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_594]) ).

tcf(c_597,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_266,c_251,c_250,c_242,c_377]) ).

tcf(c_598,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_597]) ).

tcf(c_600,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_266,c_251,c_250,c_242,c_390]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_600]) ).

tcf(c_603,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp23
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_266,c_251,c_250,c_242,c_389]) ).

tcf(c_604,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp23
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_603]) ).

tcf(c_606,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_266,c_251,c_250,c_242,c_391]) ).

tcf(c_608,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_266,c_251,c_250,c_242,c_395]) ).

tcf(c_609,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_608]) ).

tcf(c_612,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_266,c_251,c_250,c_242,c_393]) ).

tcf(c_613,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_612]) ).

tcf(c_614,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_266,c_251,c_250,c_242,c_392]) ).

tcf(c_615,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_614]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_266,c_251,c_250,c_242,c_401]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_621,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_266,c_251,c_250,c_242,c_399]) ).

tcf(c_622,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_621]) ).

tcf(c_628,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_266,c_251,c_250,c_242,c_396]) ).

tcf(c_629,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_628]) ).

tcf(c_630,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_266,c_251,c_250,c_242,c_407]) ).

tcf(c_631,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c3_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_630]) ).

tcf(c_636,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_266,c_251,c_250,c_242,c_404]) ).

tcf(c_637,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_636]) ).

tcf(c_638,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_266,c_251,c_250,c_242,c_403]) ).

tcf(c_639,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_638]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_266,c_251,c_250,c_242,c_402]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_642,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_266,c_251,c_250,c_242,c_410]) ).

tcf(c_643,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_642]) ).

tcf(c_644,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_266,c_251,c_250,c_242,c_409]) ).

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

tcf(c_647,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_266,c_251,c_250,c_242,c_408]) ).

tcf(c_649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_266,c_251,c_250,c_242,c_411]) ).

tcf(c_650,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_649]) ).

tcf(c_651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_266,c_251,c_250,c_242,c_412]) ).

tcf(c_652,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_651]) ).

tcf(c_653,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_414,c_451]) ).

tcf(c_654,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_653]) ).

tcf(c_655,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_266,c_251,c_250,c_242,c_413]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_655]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_266,c_251,c_250,c_242,c_415]) ).

tcf(c_658,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_657]) ).

tcf(c_659,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_266,c_251,c_250,c_242,c_416]) ).

tcf(c_660,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_659]) ).

tcf(c_3411,plain,
    ( hskp4
    | hskp14
    | ~ c3_1(a939) ),
    inference(resolution,[status(thm)],[c_265,c_325]) ).

tcf(c_3421,plain,
    ( hskp4
    | hskp14
    | ~ c1_1(a939) ),
    inference(resolution,[status(thm)],[c_265,c_324]) ).

tcf(c_3431,plain,
    ( hskp4
    | hskp14
    | c0_1(a939) ),
    inference(resolution,[status(thm)],[c_265,c_287]) ).

tcf(c_4668,plain,
    ! [X0: $i] :
      ( hskp11
      | ~ c2_1(a917)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_601,c_339]) ).

tcf(c_4669,plain,
    ( hskp11
    | ~ c3_1(a900)
    | ~ c2_1(a917)
    | ~ c2_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_4668]) ).

tcf(c_4685,plain,
    ! [X0: $i] :
      ( hskp11
      | c3_1(a917)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_601,c_297]) ).

tcf(c_4686,plain,
    ( hskp11
    | c3_1(a917)
    | ~ c3_1(a900)
    | ~ c2_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_4685]) ).

tcf(c_4702,plain,
    ! [X0: $i] :
      ( hskp11
      | c1_1(a917)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_601,c_296]) ).

tcf(c_4703,plain,
    ( hskp11
    | c1_1(a917)
    | ~ c3_1(a900)
    | ~ c2_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_4702]) ).

tcf(c_4821,plain,
    ( hskp13
    | hskp21
    | ~ c2_1(a917) ),
    inference(resolution,[status(thm)],[c_266,c_339]) ).

tcf(c_4831,plain,
    ( hskp13
    | hskp21
    | c3_1(a917) ),
    inference(resolution,[status(thm)],[c_266,c_297]) ).

tcf(c_4841,plain,
    ( hskp13
    | hskp21
    | c1_1(a917) ),
    inference(resolution,[status(thm)],[c_266,c_296]) ).

tcf(c_14766,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_660]) ).

tcf(c_14767,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_660]) ).

tcf(c_14768,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_660]) ).

tcf(c_14769,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_660]) ).

tcf(c_14770,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_658]) ).

tcf(c_14771,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_658]) ).

tcf(c_14772,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_658]) ).

tcf(c_14773,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).

tcf(c_14774,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_656]) ).

tcf(c_14775,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_656]) ).

tcf(c_14776,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).

tcf(c_14777,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_654]) ).

tcf(c_14778,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).

tcf(c_14779,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_652]) ).

tcf(c_14780,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_652]) ).

tcf(c_14782,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_650]) ).

tcf(c_14783,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_650]) ).

tcf(c_14784,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).

tcf(c_14785,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_647]) ).

tcf(c_14786,negated_conjecture,
    ( iPr_def_23
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_647]) ).

tcf(c_14787,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_645]) ).

tcf(c_14788,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_645]) ).

tcf(c_14790,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_643]) ).

tcf(c_14792,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_641]) ).

tcf(c_14793,negated_conjecture,
    ( iPr_def_27
    | iPr_def_25
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_14794,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_639]) ).

tcf(c_14795,negated_conjecture,
    ( iPr_def_28
    | iPr_def_12
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_639]) ).

tcf(c_14796,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_637]) ).

tcf(c_14803,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_631]) ).

tcf(c_14804,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_631]) ).

tcf(c_14806,negated_conjecture,
    ( iPr_def_24
    | iPr_def_21
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_14809,negated_conjecture,
    ( iPr_def_26
    | iPr_def_11
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).

tcf(c_14811,negated_conjecture,
    ( iPr_def_34
    | iPr_def_20
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_14812,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_615]) ).

tcf(c_14813,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_615]) ).

tcf(c_14814,negated_conjecture,
    ( iPr_def_33
    | iPr_def_17
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_613]) ).

tcf(c_14816,negated_conjecture,
    ( iPr_def_15
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).

tcf(c_14817,negated_conjecture,
    ( iPr_def_28
    | iPr_def_23
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

tcf(c_14818,negated_conjecture,
    ( iPr_def_29
    | hskp15
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).

tcf(c_14819,negated_conjecture,
    ( iPr_def_25
    | hskp11
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).

tcf(c_14820,negated_conjecture,
    ( iPr_def_13
    | hskp3
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).

tcf(c_14821,negated_conjecture,
    ( iPr_def_13
    | hskp7
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).

tcf(c_14823,negated_conjecture,
    ( iPr_def_24
    | hskp7
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).

tcf(c_14827,negated_conjecture,
    ( iPr_def_15
    | hskp21
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).

tcf(c_14828,negated_conjecture,
    ( iPr_def_15
    | hskp10
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).

tcf(c_14834,negated_conjecture,
    ( iPr_def_27
    | hskp6
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).

tcf(c_14837,negated_conjecture,
    ( iPr_def_21
    | hskp12
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).

tcf(c_14838,negated_conjecture,
    ( iPr_def_21
    | hskp0
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).

tcf(c_14839,negated_conjecture,
    ( iPr_def_28
    | hskp12
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).

tcf(c_14843,negated_conjecture,
    ( iPr_def_22
    | hskp7
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).

tcf(c_14844,negated_conjecture,
    ( iPr_def_20
    | hskp6
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).

tcf(c_14845,negated_conjecture,
    ( iPr_def_20
    | hskp1
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_528]) ).

tcf(c_14847,negated_conjecture,
    ( iPr_def_17
    | hskp1
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).

tcf(c_14848,negated_conjecture,
    ( iPr_def_23
    | hskp10
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

tcf(c_14849,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_516]) ).

tcf(c_14850,negated_conjecture,
    ( iPr_def_39
    | hskp11
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).

tcf(c_14879,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a900)
    | ~ c1_1(a900)
    | ~ c0_1(a900) ),
    inference(instantiation,[status(thm)],[c_14768]) ).

tcf(c_14884,plain,
    ( hskp28
    | c1_1(a960)
    | ~ c3_1(a960)
    | ~ c0_1(a960) ),
    inference(instantiation,[status(thm)],[c_535]) ).

tcf(c_14885,plain,
    ( hskp28
    | c1_1(a914)
    | ~ c3_1(a914)
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_535]) ).

tcf(c_14888,plain,
    ( hskp28
    | c1_1(a902)
    | ~ c3_1(a902)
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_535]) ).

tcf(c_14895,plain,
    ( c3_1(a908)
    | c2_1(a908)
    | ~ iPr_def_11
    | ~ c1_1(a908) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_14896,plain,
    ( c3_1(a907)
    | c2_1(a907)
    | ~ iPr_def_11
    | ~ c1_1(a907) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_14900,plain,
    ( c2_1(a917)
    | ~ iPr_def_15
    | ~ c3_1(a917)
    | ~ c1_1(a917) ),
    inference(instantiation,[status(thm)],[c_14772]) ).

tcf(c_14904,plain,
    ( c2_1(a907)
    | ~ iPr_def_15
    | ~ c3_1(a907)
    | ~ c1_1(a907) ),
    inference(instantiation,[status(thm)],[c_14772]) ).

tcf(c_14905,plain,
    ( c2_1(a946)
    | c1_1(a946)
    | c0_1(a946)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14775]) ).

tcf(c_14912,plain,
    ( c3_1(a946)
    | c1_1(a946)
    | c0_1(a946)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_14779]) ).

tcf(c_14915,plain,
    ( c3_1(a910)
    | c1_1(a910)
    | c0_1(a910)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_14779]) ).

tcf(c_14927,plain,
    ( c2_1(a914)
    | ~ iPr_def_15
    | ~ c3_1(a914)
    | ~ c1_1(a914) ),
    inference(instantiation,[status(thm)],[c_14772]) ).

tcf(c_14932,plain,
    ( c2_1(a936)
    | c1_1(a936)
    | c0_1(a936)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14775]) ).

tcf(c_14940,plain,
    ( c3_1(a906)
    | ~ iPr_def_10
    | ~ c2_1(a906)
    | ~ c0_1(a906) ),
    inference(instantiation,[status(thm)],[c_14766]) ).

tcf(c_14941,plain,
    ( c3_1(a902)
    | ~ iPr_def_10
    | ~ c2_1(a902)
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_14766]) ).

tcf(c_14944,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a916)
    | ~ c1_1(a916)
    | ~ c0_1(a916) ),
    inference(instantiation,[status(thm)],[c_14768]) ).

tcf(c_14954,plain,
    ( c3_1(a902)
    | c1_1(a902)
    | ~ iPr_def_22
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_14783]) ).

tcf(c_14985,plain,
    ( c1_1(a914)
    | ~ iPr_def_26
    | ~ c3_1(a914)
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_14790]) ).

tcf(c_14988,plain,
    ( c3_1(a939)
    | c1_1(a939)
    | ~ iPr_def_22
    | ~ c0_1(a939) ),
    inference(instantiation,[status(thm)],[c_14783]) ).

tcf(c_14995,plain,
    ( c3_1(a910)
    | ~ iPr_def_10
    | ~ c2_1(a910)
    | ~ c0_1(a910) ),
    inference(instantiation,[status(thm)],[c_14766]) ).

tcf(c_15009,plain,
    ( c0_1(a912)
    | ~ iPr_def_13
    | ~ c2_1(a912)
    | ~ c1_1(a912) ),
    inference(instantiation,[status(thm)],[c_14770]) ).

tcf(c_15034,plain,
    ( c0_1(a924)
    | ~ iPr_def_24
    | ~ c3_1(a924)
    | ~ c2_1(a924) ),
    inference(instantiation,[status(thm)],[c_14787]) ).

tcf(c_15044,plain,
    ( c1_1(a924)
    | c0_1(a924)
    | ~ iPr_def_27
    | ~ c3_1(a924) ),
    inference(instantiation,[status(thm)],[c_14792]) ).

tcf(c_15056,plain,
    ( c0_1(a954)
    | ~ iPr_def_24
    | ~ c3_1(a954)
    | ~ c2_1(a954) ),
    inference(instantiation,[status(thm)],[c_14787]) ).

tcf(c_15090,plain,
    ( c2_1(a901)
    | c1_1(a901)
    | c0_1(a901)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14775]) ).

tcf(c_15095,plain,
    ( c3_1(a924)
    | c0_1(a924)
    | ~ iPr_def_21
    | ~ c2_1(a924) ),
    inference(instantiation,[status(thm)],[c_14782]) ).

tcf(c_15096,plain,
    ( c3_1(a921)
    | c0_1(a921)
    | ~ iPr_def_21
    | ~ c2_1(a921) ),
    inference(instantiation,[status(thm)],[c_14782]) ).

tcf(c_15098,plain,
    ( c3_1(a901)
    | c0_1(a901)
    | ~ iPr_def_21
    | ~ c2_1(a901) ),
    inference(instantiation,[status(thm)],[c_14782]) ).

tcf(c_15100,plain,
    ( c3_1(a946)
    | c2_1(a946)
    | c0_1(a946)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14785]) ).

tcf(c_15113,plain,
    ( c2_1(a904)
    | c1_1(a904)
    | ~ iPr_def_28
    | ~ c0_1(a904) ),
    inference(instantiation,[status(thm)],[c_14794]) ).

tcf(c_15133,plain,
    ( c3_1(a906)
    | ~ iPr_def_34
    | ~ c1_1(a906)
    | ~ c0_1(a906) ),
    inference(instantiation,[status(thm)],[c_14804]) ).

tcf(c_15148,plain,
    ( c2_1(a916)
    | ~ iPr_def_15
    | ~ c3_1(a916)
    | ~ c1_1(a916) ),
    inference(instantiation,[status(thm)],[c_14772]) ).

tcf(c_15166,plain,
    ( ~ iPr_def_25
    | ~ c3_1(a916)
    | ~ c2_1(a916)
    | ~ c1_1(a916) ),
    inference(instantiation,[status(thm)],[c_14788]) ).

tcf(c_15182,plain,
    ( c3_1(a936)
    | c2_1(a936)
    | c1_1(a936)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_14849]) ).

tcf(c_15185,plain,
    ( c3_1(a904)
    | c2_1(a904)
    | c1_1(a904)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_14849]) ).

tcf(c_15187,plain,
    ( c3_1(a901)
    | c2_1(a901)
    | c1_1(a901)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_14849]) ).

tcf(c_15193,plain,
    ( ~ iPr_def_29
    | ~ c3_1(a942)
    | ~ c2_1(a942)
    | ~ c0_1(a942) ),
    inference(instantiation,[status(thm)],[c_14796]) ).

tcf(c_15202,plain,
    ( ~ iPr_def_29
    | ~ c3_1(a902)
    | ~ c2_1(a902)
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_14796]) ).

tcf(c_15209,plain,
    ( c0_1(a954)
    | ~ iPr_def_35
    | ~ c3_1(a954)
    | ~ c1_1(a954) ),
    inference(instantiation,[status(thm)],[c_14812]) ).

tcf(c_15275,plain,
    ( c2_1(a954)
    | c0_1(a954)
    | ~ iPr_def_16
    | ~ c3_1(a954) ),
    inference(instantiation,[status(thm)],[c_14774]) ).

tcf(c_15278,plain,
    ( c2_1(a905)
    | c0_1(a905)
    | ~ iPr_def_16
    | ~ c3_1(a905) ),
    inference(instantiation,[status(thm)],[c_14774]) ).

tcf(c_15287,plain,
    ( c3_1(a903)
    | c2_1(a903)
    | ~ iPr_def_20
    | ~ c0_1(a903) ),
    inference(instantiation,[status(thm)],[c_14780]) ).

tcf(c_15292,plain,
    ( c3_1(a936)
    | c2_1(a936)
    | ~ iPr_def_20
    | ~ c0_1(a936) ),
    inference(instantiation,[status(thm)],[c_14780]) ).

tcf(c_15317,plain,
    ( c3_1(a903)
    | c1_1(a903)
    | ~ iPr_def_22
    | ~ c0_1(a903) ),
    inference(instantiation,[status(thm)],[c_14783]) ).

tcf(c_15329,plain,
    ( c2_1(a914)
    | c1_1(a914)
    | ~ iPr_def_28
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_14794]) ).

tcf(c_15330,plain,
    ( c2_1(a903)
    | c1_1(a903)
    | ~ iPr_def_28
    | ~ c0_1(a903) ),
    inference(instantiation,[status(thm)],[c_14794]) ).

tcf(c_15347,plain,
    ( c3_1(a946)
    | c2_1(a946)
    | ~ iPr_def_11
    | ~ c1_1(a946) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_15362,plain,
    ( c2_1(a923)
    | c0_1(a923)
    | ~ iPr_def_16
    | ~ c3_1(a923) ),
    inference(instantiation,[status(thm)],[c_14774]) ).

tcf(c_15365,plain,
    ( c1_1(a923)
    | c0_1(a923)
    | ~ iPr_def_27
    | ~ c3_1(a923) ),
    inference(instantiation,[status(thm)],[c_14792]) ).

tcf(c_15367,plain,
    ( c0_1(a923)
    | ~ iPr_def_24
    | ~ c3_1(a923)
    | ~ c2_1(a923) ),
    inference(instantiation,[status(thm)],[c_14787]) ).

tcf(c_15424,plain,
    ( c3_1(a942)
    | ~ iPr_def_18
    | ~ c2_1(a942)
    | ~ c1_1(a942) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_15577,plain,
    ( c3_1(a903)
    | c2_1(a903)
    | ~ iPr_def_11
    | ~ c1_1(a903) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_15601,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ iPr_def_22
    | ~ c0_1(a906) ),
    inference(instantiation,[status(thm)],[c_14783]) ).

tcf(c_15620,plain,
    ( c2_1(a923)
    | c1_1(a923)
    | c0_1(a923)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14775]) ).

tcf(c_15632,plain,
    ( c3_1(a901)
    | c1_1(a901)
    | ~ iPr_def_14
    | ~ c2_1(a901) ),
    inference(instantiation,[status(thm)],[c_14771]) ).

tcf(c_15660,plain,
    ( c2_1(a904)
    | ~ iPr_def_33
    | ~ c3_1(a904)
    | ~ c0_1(a904) ),
    inference(instantiation,[status(thm)],[c_14803]) ).

tcf(c_15738,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ iPr_def_14
    | ~ c2_1(a906) ),
    inference(instantiation,[status(thm)],[c_14771]) ).

tcf(c_15769,plain,
    ( c3_1(a906)
    | ~ iPr_def_18
    | ~ c2_1(a906)
    | ~ c1_1(a906) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_15889,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15769,c_15738,c_15660,c_15632,c_15620,c_15601,c_15577,c_15424,c_15362,c_15365,c_15367,c_15347,c_15330,c_15329,c_15317,c_15292,c_15287,c_15278,c_15275,c_15209,c_15202,c_15193,c_15187,c_15185,c_15182,c_15166,c_15148,c_15133,c_15113,c_15100,c_15098,c_15096,c_15095,c_15090,c_15056,c_15044,c_15034,c_15009,c_14995,c_14988,c_14985,c_14954,c_14944,c_14941,c_14940,c_14932,c_14927,c_14915,c_14912,c_14905,c_14904,c_14900,c_14896,c_14895,c_14888,c_14885,c_14884,c_14879,c_14850,c_14848,c_14847,c_14845,c_14844,c_14843,c_14839,c_14838,c_14837,c_14834,c_14828,c_14827,c_14823,c_14821,c_14820,c_14819,c_14818,c_14817,c_14814,c_14813,c_14811,c_14809,c_14806,c_14795,c_14793,c_14786,c_14784,c_14778,c_14776,c_14773,c_14769,c_14816,c_4841,c_4831,c_4821,c_4703,c_4686,c_4669,c_3431,c_3421,c_3411,c_451,c_450,c_315,c_319,c_321,c_322,c_323,c_329,c_330,c_331,c_333,c_334,c_335,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_267,c_268,c_269,c_273,c_274,c_275,c_276,c_277,c_278,c_281,c_282,c_283,c_284,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_304,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_266]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN455-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.39  % Computer : n002.cluster.edu
% 0.12/10.39  % Model    : x86_64 x86_64
% 0.12/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39  % Memory   : 8046.5625MB
% 0.12/10.39  % OS       : Linux 6.8.0-71-generic
% 0.12/10.39  % CPULimit : 300
% 0.12/10.39  % WCLimit  : 300
% 0.12/10.39  % DateTime : Fri Sep 25 01:19:01 UTC 2026
% 0.12/10.40  % CPUTime  : 
% 0.12/10.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.43  Running EPR theorem proving
% 0.15/10.43  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
% 0.15/10.45  
% 0.15/10.45  % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.45  
% 0.15/10.45  % Detected problem language: tptp
% 0.15/10.46  % Proving...
% 3.03/11.16  % SZS status Started for theBenchmark.p
% 3.03/11.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.03/11.16  
% 3.03/11.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.03/11.16  
% 3.03/11.16  % ------  iProver source info
% 3.03/11.16  
% 3.03/11.16  % git: date: 2026-07-19 20:42:38 +0200
% 3.03/11.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.03/11.16  % git: non_committed_changes: false
% 3.03/11.16  
% 3.03/11.16  % ------ Parsing...% successful
% 3.03/11.16  
% 3.03/11.16  
% 3.03/11.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.03/11.16  % 
% 3.03/11.16  
% 3.03/11.16  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.03/11.16  
% 3.03/11.16  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.03/11.16   gs_s  sp: 89 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.03/11.16  % ------ Proving...
% 3.03/11.16  % ------ Problem Properties 
% 3.03/11.16  
% 3.03/11.16  % 
% 3.03/11.16  % clauses                               182
% 3.03/11.16  % conjectures                           179
% 3.03/11.16  % EPR                                   182
% 3.03/11.16  % Horn                                  105
% 3.03/11.16  % unary                                 0
% 3.03/11.16  % binary                                91
% 3.03/11.16  % lits                                  485
% 3.03/11.16  % lits eq                               0
% 3.03/11.16  % fd_pure                               0
% 3.03/11.16  % fd_pseudo                             0
% 3.03/11.16  % fd_cond                               0
% 3.03/11.16  % fd_pseudo_cond                        0
% 3.03/11.16  % AC symbols                            0
% 3.03/11.16  
% 3.03/11.16  % ------ Schedule EPR non Horn non eq is on
% 3.03/11.16  
% 3.03/11.16  % ------ no equalities: superposition off 
% 3.03/11.16  
% 3.03/11.16  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.03/11.16  
% 3.03/11.16  
% 3.03/11.16  % ------ 
% 3.03/11.16  % Current options:
% 3.03/11.16  % ------ 
% 3.03/11.16  
% 3.03/11.16  
% 3.03/11.16  % 
% 3.03/11.16  
% 3.03/11.16  % ------ Proving...
% 3.03/11.16  % 
% 3.03/11.16  
% 3.03/11.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.03/11.16  
% 3.03/11.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.03/11.17  
% 3.03/11.17  
%------------------------------------------------------------------------------