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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN474-1 : 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 : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:25 PM UTC 2026

% Result   : Unsatisfiable 4.49s 6.87s
% Output   : CNFRefutation 4.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  534 (   2 unt;   0 def)
%            Number of atoms       : 2293 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2939 (1180   ~;1759   |;   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  :   62 (  61 usr;  58 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  357 (   0 sgn 357   !;   0   ?; 274   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f23,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

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

fof(f34,negated_conjecture,
    ( hskp9
    | hskp12
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp19
    | hskp22
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp17
    | hskp22
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f40,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( c1_1(a957)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c2_1(a957)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c3_1(a957)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f47,negated_conjecture,
    ( c0_1(a911)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c1_1(a911)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c3_1(a911)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c0_1(a900)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c2_1(a900)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c3_1(a900)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c2_1(a978)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c3_1(a978)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( c1_1(a953)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c3_1(a953)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c0_1(a950)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c3_1(a950)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c1_1(a939)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a938)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c2_1(a937)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c2_1(a930)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c0_1(a929)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c2_1(a929)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c1_1(a928)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f69,negated_conjecture,
    ( c0_1(a921)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c1_1(a921)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c0_1(a918)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c3_1(a918)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c3_1(a914)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c0_1(a913)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c1_1(a910)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c3_1(a908)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a907)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f80,negated_conjecture,
    ( c1_1(a905)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c3_1(a905)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c2_1(a904)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c0_1(a903)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c2_1(a903)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c1_1(a899)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c2_1(a899)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c0_1(a898)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( c1_1(a898)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a978) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f92,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a958) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a958) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a958) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a953) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a950) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a938) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a938) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a937) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a937) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a930) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a930) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a929) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a928) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a928) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a921) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a918) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a914) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a914) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a913) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a913) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a912) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a910) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a909) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a909) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a909) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a908) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a907) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a907) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f128,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a905) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a904) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a903) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a901) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a899) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a898) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp15
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp29
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp24
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f160,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | 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',clause166) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c1_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',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | 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',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | 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',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_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,
    ! [X0,X1] :
      ( hskp15
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

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

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | 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',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ 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)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

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

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

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

fof(f196,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
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

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

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

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

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

tcf(c_268,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_271,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f23]) ).

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

tcf(c_282,negated_conjecture,
    ( hskp0
    | hskp9
    | hskp12 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_283,negated_conjecture,
    ( hskp0
    | hskp21
    | hskp25 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_284,negated_conjecture,
    ( hskp15
    | hskp19
    | hskp22 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_285,negated_conjecture,
    ( hskp17
    | hskp22
    | hskp28 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_286,negated_conjecture,
    ( hskp3
    | hskp24
    | hskp25 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_288,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_289,negated_conjecture,
    ( c1_1(a957)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_290,negated_conjecture,
    ( c2_1(a957)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_291,negated_conjecture,
    ( c3_1(a957)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_295,negated_conjecture,
    ( c0_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_296,negated_conjecture,
    ( c1_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_297,negated_conjecture,
    ( c3_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_298,negated_conjecture,
    ( c0_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_299,negated_conjecture,
    ( c2_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_300,negated_conjecture,
    ( c3_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_301,negated_conjecture,
    ( c2_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_302,negated_conjecture,
    ( c3_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_304,negated_conjecture,
    ( c1_1(a953)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_305,negated_conjecture,
    ( c3_1(a953)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_306,negated_conjecture,
    ( c0_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_307,negated_conjecture,
    ( c3_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_308,negated_conjecture,
    ( c1_1(a939)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_309,negated_conjecture,
    ( c0_1(a938)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_310,negated_conjecture,
    ( c2_1(a937)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_311,negated_conjecture,
    ( c2_1(a930)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_312,negated_conjecture,
    ( c0_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_313,negated_conjecture,
    ( c2_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_314,negated_conjecture,
    ( c1_1(a928)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_317,negated_conjecture,
    ( c0_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_318,negated_conjecture,
    ( c1_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_319,negated_conjecture,
    ( c0_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_320,negated_conjecture,
    ( c3_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_321,negated_conjecture,
    ( c3_1(a914)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_322,negated_conjecture,
    ( c0_1(a913)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_323,negated_conjecture,
    ( c1_1(a910)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_324,negated_conjecture,
    ( c3_1(a908)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_325,negated_conjecture,
    ( c3_1(a907)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_328,negated_conjecture,
    ( c1_1(a905)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_329,negated_conjecture,
    ( c3_1(a905)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_330,negated_conjecture,
    ( c2_1(a904)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_331,negated_conjecture,
    ( c0_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_332,negated_conjecture,
    ( c2_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_333,negated_conjecture,
    ( c1_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_334,negated_conjecture,
    ( c2_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_335,negated_conjecture,
    ( c0_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_336,negated_conjecture,
    ( c1_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a978) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a958) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a958) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a958) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a953) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a950) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a939) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a939) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a938) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a938) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a937) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a937) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a930) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a930) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a929) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a928) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a928) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a921) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a918) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a914) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a914) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a913) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a913) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a912) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a912) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a912) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a910) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a910) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a909) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a909) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a909) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a908) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a908) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a907) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a907) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a905) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a904) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a904) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a903) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_380,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a901) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_381,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a901) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_382,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a901) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_383,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a899) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_384,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a898) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp15
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp17
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp29
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp24
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp20
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp13
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

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

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

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

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

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

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

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

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

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

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

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

tcf(c_478,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_280,c_282,c_280,c_271,c_268]) ).

tcf(c_548,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_282,c_280,c_271,c_268,c_385]) ).

tcf(c_551,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_282,c_280,c_271,c_268,c_399]) ).

tcf(c_554,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp29
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_282,c_280,c_271,c_268,c_398]) ).

tcf(c_563,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp17
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_282,c_280,c_271,c_268,c_395]) ).

tcf(c_566,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_282,c_280,c_271,c_268,c_394]) ).

tcf(c_572,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp15
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_282,c_280,c_271,c_268,c_392]) ).

tcf(c_578,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_282,c_280,c_271,c_268,c_390]) ).

tcf(c_581,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_282,c_280,c_271,c_268,c_389]) ).

tcf(c_599,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_282,c_280,c_271,c_268,c_403]) ).

tcf(c_600,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_599]) ).

tcf(c_602,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp20
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_282,c_280,c_271,c_268,c_402]) ).

tcf(c_603,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp20
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_602]) ).

tcf(c_605,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp24
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_282,c_280,c_271,c_268,c_401]) ).

tcf(c_606,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp24
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_605]) ).

tcf(c_611,plain,
    ! [X0: $i] :
      ( hskp2
      | hskp13
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_282,c_280,c_271,c_268,c_408]) ).

tcf(c_612,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp13
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_611]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_282,c_280,c_271,c_268,c_410]) ).

tcf(c_619,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_282,c_280,c_271,c_268,c_414]) ).

tcf(c_620,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_619]) ).

tcf(c_627,plain,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_282,c_280,c_271,c_268,c_428]) ).

tcf(c_628,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_627]) ).

tcf(c_630,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_282,c_280,c_271,c_268,c_427]) ).

tcf(c_631,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_630]) ).

tcf(c_632,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_282,c_280,c_271,c_268,c_426]) ).

tcf(c_633,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_632]) ).

tcf(c_639,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_282,c_280,c_271,c_268,c_423]) ).

tcf(c_640,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_639]) ).

tcf(c_641,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_282,c_280,c_271,c_268,c_422]) ).

tcf(c_642,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_641]) ).

tcf(c_643,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_282,c_280,c_271,c_268,c_421]) ).

tcf(c_644,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_643]) ).

tcf(c_647,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_282,c_280,c_271,c_268,c_419]) ).

tcf(c_648,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_647]) ).

tcf(c_649,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_282,c_280,c_271,c_268,c_418]) ).

tcf(c_650,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_649]) ).

tcf(c_651,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_282,c_280,c_271,c_268,c_417]) ).

tcf(c_652,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_651]) ).

tcf(c_653,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_282,c_280,c_271,c_268,c_416]) ).

tcf(c_654,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_653]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_282,c_280,c_271,c_268,c_433]) ).

tcf(c_658,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_657]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_282,c_280,c_271,c_268,c_431]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_663,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_282,c_280,c_271,c_268,c_430]) ).

tcf(c_664,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_663]) ).

tcf(c_665,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_282,c_280,c_271,c_268,c_429]) ).

tcf(c_666,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_665]) ).

tcf(c_667,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_282,c_280,c_271,c_268,c_439]) ).

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

tcf(c_670,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_282,c_280,c_271,c_268,c_438]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_670]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_282,c_280,c_271,c_268,c_437]) ).

tcf(c_673,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_672]) ).

tcf(c_674,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_282,c_280,c_271,c_268,c_436]) ).

tcf(c_675,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_674]) ).

tcf(c_676,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_282,c_280,c_271,c_268,c_435]) ).

tcf(c_677,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_676]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_282,c_280,c_271,c_268,c_434]) ).

tcf(c_680,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_679]) ).

tcf(c_681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_282,c_280,c_271,c_268,c_440]) ).

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

tcf(c_683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_282,c_280,c_271,c_268,c_441]) ).

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

tcf(c_685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_282,c_280,c_271,c_268,c_446]) ).

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

tcf(c_687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_445,c_478]) ).

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

tcf(c_689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_282,c_280,c_271,c_268,c_444]) ).

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

tcf(c_691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_282,c_280,c_271,c_268,c_443]) ).

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

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_282,c_280,c_271,c_268,c_442]) ).

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

tcf(c_695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_282,c_280,c_271,c_268,c_448]) ).

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

tcf(c_697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_282,c_280,c_271,c_268,c_447]) ).

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

tcf(c_2033,plain,
    ( hskp7
    | hskp9
    | ~ c0_1(a978) ),
    inference(resolution,[status(thm)],[c_288,c_337]) ).

tcf(c_2043,plain,
    ( hskp7
    | hskp9
    | c3_1(a978) ),
    inference(resolution,[status(thm)],[c_288,c_302]) ).

tcf(c_2053,plain,
    ( hskp7
    | hskp9
    | c2_1(a978) ),
    inference(resolution,[status(thm)],[c_288,c_301]) ).

tcf(c_2459,plain,
    ( hskp15
    | hskp22
    | ~ c1_1(a930) ),
    inference(resolution,[status(thm)],[c_284,c_352]) ).

tcf(c_2469,plain,
    ( hskp15
    | hskp22
    | ~ c0_1(a930) ),
    inference(resolution,[status(thm)],[c_284,c_351]) ).

tcf(c_2479,plain,
    ( hskp15
    | hskp22
    | c2_1(a930) ),
    inference(resolution,[status(thm)],[c_284,c_311]) ).

tcf(c_2684,plain,
    ( hskp3
    | hskp24
    | ~ c3_1(a958) ),
    inference(resolution,[status(thm)],[c_286,c_342]) ).

tcf(c_2694,plain,
    ( hskp3
    | hskp24
    | ~ c1_1(a958) ),
    inference(resolution,[status(thm)],[c_286,c_341]) ).

tcf(c_2704,plain,
    ( hskp3
    | hskp24
    | ~ c0_1(a958) ),
    inference(resolution,[status(thm)],[c_286,c_340]) ).

tcf(c_2714,plain,
    ( hskp0
    | hskp21
    | ~ c3_1(a958) ),
    inference(resolution,[status(thm)],[c_283,c_342]) ).

tcf(c_2724,plain,
    ( hskp0
    | hskp21
    | ~ c1_1(a958) ),
    inference(resolution,[status(thm)],[c_283,c_341]) ).

tcf(c_2734,plain,
    ( hskp0
    | hskp21
    | ~ c0_1(a958) ),
    inference(resolution,[status(thm)],[c_283,c_340]) ).

tcf(c_3508,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(X0)
      | ~ c0_1(a937)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_603,c_349]) ).

tcf(c_3509,plain,
    ( hskp1
    | c2_1(a898)
    | ~ c0_1(a898)
    | ~ c0_1(a937)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_3508]) ).

tcf(c_3525,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(a937)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_603,c_310]) ).

tcf(c_3526,plain,
    ( hskp1
    | c2_1(a898)
    | c2_1(a937)
    | ~ c0_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_3525]) ).

tcf(c_4050,plain,
    ( hskp17
    | hskp22
    | c2_1(a900) ),
    inference(resolution,[status(thm)],[c_285,c_299]) ).

tcf(c_4060,plain,
    ( hskp17
    | hskp22
    | c0_1(a900) ),
    inference(resolution,[status(thm)],[c_285,c_298]) ).

tcf(c_4313,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(X0)
      | ~ c0_1(a905)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_600,c_376]) ).

tcf(c_4314,plain,
    ( hskp1
    | c2_1(a898)
    | ~ c0_1(a898)
    | ~ c0_1(a905)
    | ~ c3_1(a898) ),
    inference(instantiation,[status(thm)],[c_4313]) ).

tcf(c_4330,plain,
    ! [X0: $i] :
      ( hskp1
      | c3_1(a905)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_600,c_329]) ).

tcf(c_4331,plain,
    ( hskp1
    | c3_1(a905)
    | c2_1(a898)
    | ~ c0_1(a898)
    | ~ c3_1(a898) ),
    inference(instantiation,[status(thm)],[c_4330]) ).

tcf(c_4347,plain,
    ! [X0: $i] :
      ( hskp1
      | c1_1(a905)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_600,c_328]) ).

tcf(c_4348,plain,
    ( hskp1
    | c2_1(a898)
    | c1_1(a905)
    | ~ c0_1(a898)
    | ~ c3_1(a898) ),
    inference(instantiation,[status(thm)],[c_4347]) ).

tcf(c_4664,plain,
    ( hskp22
    | hskp28
    | ~ c3_1(a928) ),
    inference(resolution,[status(thm)],[c_285,c_355]) ).

tcf(c_4674,plain,
    ( hskp22
    | hskp28
    | ~ c2_1(a928) ),
    inference(resolution,[status(thm)],[c_285,c_354]) ).

tcf(c_4684,plain,
    ( hskp22
    | hskp28
    | c1_1(a928) ),
    inference(resolution,[status(thm)],[c_285,c_314]) ).

tcf(c_8330,plain,
    ! [X0: $i] :
      ( hskp20
      | c2_1(X0)
      | ~ c0_1(a899)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_603,c_383]) ).

tcf(c_8331,plain,
    ( hskp20
    | c2_1(a898)
    | ~ c0_1(a898)
    | ~ c0_1(a899)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_8330]) ).

tcf(c_8364,plain,
    ! [X0: $i] :
      ( hskp20
      | c1_1(a899)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_603,c_333]) ).

tcf(c_8365,plain,
    ( hskp20
    | c2_1(a898)
    | c1_1(a899)
    | ~ c0_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_8364]) ).

tcf(c_16550,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_698]) ).

tcf(c_16551,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_698]) ).

tcf(c_16552,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_698]) ).

tcf(c_16553,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).

tcf(c_16554,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_696]) ).

tcf(c_16555,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_696]) ).

tcf(c_16556,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_696]) ).

tcf(c_16558,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_694]) ).

tcf(c_16559,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_694]) ).

tcf(c_16560,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_694]) ).

tcf(c_16561,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).

tcf(c_16562,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_692]) ).

tcf(c_16563,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_692]) ).

tcf(c_16564,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_692]) ).

tcf(c_16565,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).

tcf(c_16566,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).

tcf(c_16567,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_688]) ).

tcf(c_16568,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_688]) ).

tcf(c_16569,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_688]) ).

tcf(c_16570,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_686]) ).

tcf(c_16571,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_686]) ).

tcf(c_16572,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).

tcf(c_16573,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_684]) ).

tcf(c_16574,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_684]) ).

tcf(c_16575,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).

tcf(c_16576,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_682]) ).

tcf(c_16577,negated_conjecture,
    ( iPr_def_28
    | iPr_def_24
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).

tcf(c_16578,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_680]) ).

tcf(c_16579,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_680]) ).

tcf(c_16580,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_16581,negated_conjecture,
    ( iPr_def_18
    | iPr_def_13
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).

tcf(c_16582,negated_conjecture,
    ( iPr_def_30
    | iPr_def_19
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).

tcf(c_16583,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_673]) ).

tcf(c_16584,negated_conjecture,
    ( iPr_def_31
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).

tcf(c_16585,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_671]) ).

tcf(c_16586,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).

tcf(c_16587,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_668]) ).

tcf(c_16589,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).

tcf(c_16590,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).

tcf(c_16591,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_662]) ).

tcf(c_16592,negated_conjecture,
    ( iPr_def_34
    | iPr_def_21
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).

tcf(c_16596,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).

tcf(c_16599,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_654]) ).

tcf(c_16600,negated_conjecture,
    ( iPr_def_38
    | iPr_def_13
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).

tcf(c_16601,negated_conjecture,
    ( iPr_def_38
    | iPr_def_31
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).

tcf(c_16602,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).

tcf(c_16603,negated_conjecture,
    ( iPr_def_32
    | iPr_def_11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).

tcf(c_16605,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_644]) ).

tcf(c_16606,negated_conjecture,
    ( iPr_def_39
    | iPr_def_11
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_644]) ).

tcf(c_16607,negated_conjecture,
    ( iPr_def_29
    | iPr_def_14
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).

tcf(c_16608,negated_conjecture,
    ( iPr_def_33
    | iPr_def_26
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_640]) ).

tcf(c_16611,negated_conjecture,
    ( iPr_def_16
    | iPr_def_12
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).

tcf(c_16612,negated_conjecture,
    ( iPr_def_14
    | iPr_def_10
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).

tcf(c_16613,negated_conjecture,
    ( iPr_def_25
    | iPr_def_12
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).

tcf(c_16617,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).

tcf(c_16618,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_16620,negated_conjecture,
    ( iPr_def_18
    | hskp2
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).

tcf(c_16622,negated_conjecture,
    ( iPr_def_19
    | hskp17
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

tcf(c_16623,negated_conjecture,
    ( iPr_def_12
    | hskp1
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_603]) ).

tcf(c_16624,negated_conjecture,
    ( iPr_def_31
    | hskp1
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_600]) ).

tcf(c_16630,negated_conjecture,
    ( iPr_def_38
    | hskp7
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_581]) ).

tcf(c_16631,negated_conjecture,
    ( iPr_def_27
    | hskp12
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).

tcf(c_16633,negated_conjecture,
    ( iPr_def_11
    | hskp5
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).

tcf(c_16635,negated_conjecture,
    ( iPr_def_23
    | hskp4
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).

tcf(c_16636,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_563]) ).

tcf(c_16637,negated_conjecture,
    ( iPr_def_40
    | hskp0
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).

tcf(c_16641,negated_conjecture,
    ( iPr_def_16
    | hskp15
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_554]) ).

tcf(c_16642,negated_conjecture,
    ( iPr_def_14
    | hskp7
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_551]) ).

tcf(c_16643,negated_conjecture,
    ( iPr_def_17
    | hskp0
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).

tcf(c_16650,plain,
    ( c3_1(a898)
    | c2_1(a898)
    | ~ iPr_def_14
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_16555]) ).

tcf(c_16654,plain,
    ( c3_1(a898)
    | c2_1(a898)
    | ~ iPr_def_25
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_16571]) ).

tcf(c_16662,plain,
    ( c2_1(a898)
    | ~ iPr_def_12
    | ~ c0_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_16552]) ).

tcf(c_16664,plain,
    ( c2_1(a898)
    | ~ iPr_def_15
    | ~ c3_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_16556]) ).

tcf(c_16669,plain,
    ( c2_1(a898)
    | ~ iPr_def_31
    | ~ c0_1(a898)
    | ~ c3_1(a898) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_16670,plain,
    ( c3_1(a898)
    | ~ iPr_def_32
    | ~ c0_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_16585]) ).

tcf(c_16674,plain,
    ( ~ iPr_def_30
    | ~ c0_1(a898)
    | ~ c3_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_16579]) ).

tcf(c_16681,plain,
    ( c0_1(a907)
    | c2_1(a907)
    | ~ iPr_def_11
    | ~ c3_1(a907) ),
    inference(instantiation,[status(thm)],[c_16551]) ).

tcf(c_16682,plain,
    ( c0_1(a905)
    | c2_1(a905)
    | ~ iPr_def_11
    | ~ c3_1(a905) ),
    inference(instantiation,[status(thm)],[c_16551]) ).

tcf(c_16686,plain,
    ( c1_1(a929)
    | ~ iPr_def_13
    | ~ c0_1(a929)
    | ~ c2_1(a929) ),
    inference(instantiation,[status(thm)],[c_16554]) ).

tcf(c_16691,plain,
    ( c3_1(a937)
    | c1_1(a937)
    | ~ iPr_def_16
    | ~ c2_1(a937) ),
    inference(instantiation,[status(thm)],[c_16558]) ).

tcf(c_16693,plain,
    ( c3_1(a904)
    | c1_1(a904)
    | ~ iPr_def_16
    | ~ c2_1(a904) ),
    inference(instantiation,[status(thm)],[c_16558]) ).

tcf(c_16701,plain,
    ( c0_1(a957)
    | ~ iPr_def_22
    | ~ c3_1(a957)
    | ~ c2_1(a957) ),
    inference(instantiation,[status(thm)],[c_16567]) ).

tcf(c_16702,plain,
    ( c0_1(a978)
    | ~ iPr_def_22
    | ~ c3_1(a978)
    | ~ c2_1(a978) ),
    inference(instantiation,[status(thm)],[c_16567]) ).

tcf(c_16711,plain,
    ( c0_1(a907)
    | ~ iPr_def_22
    | ~ c3_1(a907)
    | ~ c2_1(a907) ),
    inference(instantiation,[status(thm)],[c_16567]) ).

tcf(c_16712,plain,
    ( c1_1(a907)
    | ~ iPr_def_19
    | ~ c3_1(a907)
    | ~ c2_1(a907) ),
    inference(instantiation,[status(thm)],[c_16562]) ).

tcf(c_16719,plain,
    ( c0_1(a930)
    | ~ iPr_def_22
    | ~ c3_1(a930)
    | ~ c2_1(a930) ),
    inference(instantiation,[status(thm)],[c_16567]) ).

tcf(c_16720,plain,
    ( c1_1(a930)
    | ~ iPr_def_19
    | ~ c3_1(a930)
    | ~ c2_1(a930) ),
    inference(instantiation,[status(thm)],[c_16562]) ).

tcf(c_16721,plain,
    ( c3_1(a930)
    | c1_1(a930)
    | ~ iPr_def_16
    | ~ c2_1(a930) ),
    inference(instantiation,[status(thm)],[c_16558]) ).

tcf(c_16724,plain,
    ( c1_1(a918)
    | ~ iPr_def_10
    | ~ c0_1(a918)
    | ~ c3_1(a918) ),
    inference(instantiation,[status(thm)],[c_16550]) ).

tcf(c_16727,plain,
    ( c2_1(a911)
    | ~ iPr_def_12
    | ~ c0_1(a911)
    | ~ c1_1(a911) ),
    inference(instantiation,[status(thm)],[c_16552]) ).

tcf(c_16733,plain,
    ( ~ iPr_def_18
    | ~ c0_1(a911)
    | ~ c3_1(a911)
    | ~ c2_1(a911) ),
    inference(instantiation,[status(thm)],[c_16560]) ).

tcf(c_16734,plain,
    ( ~ iPr_def_18
    | ~ c0_1(a918)
    | ~ c3_1(a918)
    | ~ c2_1(a918) ),
    inference(instantiation,[status(thm)],[c_16560]) ).

tcf(c_16738,plain,
    ( c2_1(a918)
    | c1_1(a918)
    | ~ iPr_def_24
    | ~ c3_1(a918) ),
    inference(instantiation,[status(thm)],[c_16570]) ).

tcf(c_16739,plain,
    ( c2_1(a907)
    | c1_1(a907)
    | ~ iPr_def_24
    | ~ c3_1(a907) ),
    inference(instantiation,[status(thm)],[c_16570]) ).

tcf(c_16741,plain,
    ( c2_1(a911)
    | ~ iPr_def_15
    | ~ c3_1(a911)
    | ~ c1_1(a911) ),
    inference(instantiation,[status(thm)],[c_16556]) ).

tcf(c_16749,plain,
    ( c0_1(a908)
    | c2_1(a908)
    | ~ iPr_def_11
    | ~ c3_1(a908) ),
    inference(instantiation,[status(thm)],[c_16551]) ).

tcf(c_16751,plain,
    ( c3_1(a938)
    | c2_1(a938)
    | ~ iPr_def_14
    | ~ c0_1(a938) ),
    inference(instantiation,[status(thm)],[c_16555]) ).

tcf(c_16771,plain,
    ( c1_1(a918)
    | ~ iPr_def_13
    | ~ c0_1(a918)
    | ~ c2_1(a918) ),
    inference(instantiation,[status(thm)],[c_16554]) ).

tcf(c_16772,plain,
    ( c2_1(a911)
    | ~ iPr_def_31
    | ~ c0_1(a911)
    | ~ c3_1(a911) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_16773,plain,
    ( c2_1(a918)
    | ~ iPr_def_31
    | ~ c0_1(a918)
    | ~ c3_1(a918) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_16776,plain,
    ( c0_1(a958)
    | c2_1(a958)
    | c1_1(a958)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_16559]) ).

tcf(c_16781,plain,
    ( c0_1(a909)
    | c2_1(a909)
    | c1_1(a909)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_16559]) ).

tcf(c_16782,plain,
    ( c0_1(a907)
    | c2_1(a907)
    | c1_1(a907)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_16559]) ).

tcf(c_16799,plain,
    ( c3_1(a913)
    | ~ iPr_def_21
    | ~ c0_1(a913)
    | ~ c2_1(a913) ),
    inference(instantiation,[status(thm)],[c_16564]) ).

tcf(c_16800,plain,
    ( c0_1(a957)
    | ~ iPr_def_29
    | ~ c2_1(a957)
    | ~ c1_1(a957) ),
    inference(instantiation,[status(thm)],[c_16578]) ).

tcf(c_16802,plain,
    ( c0_1(a937)
    | ~ iPr_def_29
    | ~ c2_1(a937)
    | ~ c1_1(a937) ),
    inference(instantiation,[status(thm)],[c_16578]) ).

tcf(c_16806,plain,
    ( c0_1(a899)
    | ~ iPr_def_29
    | ~ c2_1(a899)
    | ~ c1_1(a899) ),
    inference(instantiation,[status(thm)],[c_16578]) ).

tcf(c_16813,plain,
    ( ~ iPr_def_18
    | ~ c0_1(a957)
    | ~ c3_1(a957)
    | ~ c2_1(a957) ),
    inference(instantiation,[status(thm)],[c_16560]) ).

tcf(c_16819,plain,
    ( c3_1(a921)
    | ~ iPr_def_32
    | ~ c0_1(a921)
    | ~ c1_1(a921) ),
    inference(instantiation,[status(thm)],[c_16585]) ).

tcf(c_16841,plain,
    ( c1_1(a900)
    | ~ iPr_def_13
    | ~ c0_1(a900)
    | ~ c2_1(a900) ),
    inference(instantiation,[status(thm)],[c_16554]) ).

tcf(c_16846,plain,
    ( ~ iPr_def_18
    | ~ c0_1(a900)
    | ~ c3_1(a900)
    | ~ c2_1(a900) ),
    inference(instantiation,[status(thm)],[c_16560]) ).

tcf(c_16851,plain,
    ( c2_1(a928)
    | ~ iPr_def_12
    | ~ c0_1(a928)
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16552]) ).

tcf(c_16865,plain,
    ( c0_1(a939)
    | c3_1(a939)
    | ~ iPr_def_23
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16568]) ).

tcf(c_16866,plain,
    ( c0_1(a928)
    | c3_1(a928)
    | ~ iPr_def_23
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16568]) ).

tcf(c_16868,plain,
    ( c0_1(a910)
    | c3_1(a910)
    | ~ iPr_def_23
    | ~ c1_1(a910) ),
    inference(instantiation,[status(thm)],[c_16568]) ).

tcf(c_16872,plain,
    ( c0_1(a939)
    | c2_1(a939)
    | ~ iPr_def_27
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16574]) ).

tcf(c_16873,plain,
    ( c0_1(a928)
    | c2_1(a928)
    | ~ iPr_def_27
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16574]) ).

tcf(c_16875,plain,
    ( c0_1(a910)
    | c2_1(a910)
    | ~ iPr_def_27
    | ~ c1_1(a910) ),
    inference(instantiation,[status(thm)],[c_16574]) ).

tcf(c_16877,plain,
    ( c0_1(a899)
    | c2_1(a899)
    | ~ iPr_def_27
    | ~ c1_1(a899) ),
    inference(instantiation,[status(thm)],[c_16574]) ).

tcf(c_16879,plain,
    ( c2_1(a950)
    | ~ iPr_def_31
    | ~ c0_1(a950)
    | ~ c3_1(a950) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_17002,plain,
    ( c0_1(a937)
    | c3_1(a937)
    | ~ iPr_def_40
    | ~ c2_1(a937) ),
    inference(instantiation,[status(thm)],[c_16636]) ).

tcf(c_17016,plain,
    ( c3_1(a928)
    | c2_1(a928)
    | ~ iPr_def_14
    | ~ c0_1(a928) ),
    inference(instantiation,[status(thm)],[c_16555]) ).

tcf(c_17031,plain,
    ( c3_1(a939)
    | c2_1(a939)
    | ~ iPr_def_25
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16571]) ).

tcf(c_17033,plain,
    ( c3_1(a928)
    | c2_1(a928)
    | ~ iPr_def_25
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16571]) ).

tcf(c_17041,plain,
    ( c3_1(a958)
    | c2_1(a958)
    | c1_1(a958)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16573]) ).

tcf(c_17046,plain,
    ( c3_1(a913)
    | c2_1(a913)
    | c1_1(a913)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16573]) ).

tcf(c_17047,plain,
    ( c3_1(a912)
    | c2_1(a912)
    | c1_1(a912)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16573]) ).

tcf(c_17055,plain,
    ( c3_1(a928)
    | ~ iPr_def_32
    | ~ c0_1(a928)
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16585]) ).

tcf(c_17066,plain,
    ( c0_1(a930)
    | c1_1(a930)
    | ~ iPr_def_38
    | ~ c3_1(a930) ),
    inference(instantiation,[status(thm)],[c_16599]) ).

tcf(c_17070,plain,
    ( c0_1(a907)
    | c1_1(a907)
    | ~ iPr_def_38
    | ~ c3_1(a907) ),
    inference(instantiation,[status(thm)],[c_16599]) ).

tcf(c_17083,plain,
    ( c0_1(a958)
    | c3_1(a958)
    | c1_1(a958)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_16576]) ).

tcf(c_17174,plain,
    ( c3_1(a903)
    | c1_1(a903)
    | ~ iPr_def_16
    | ~ c2_1(a903) ),
    inference(instantiation,[status(thm)],[c_16558]) ).

tcf(c_17183,plain,
    ( c2_1(a914)
    | c1_1(a914)
    | ~ iPr_def_24
    | ~ c3_1(a914) ),
    inference(instantiation,[status(thm)],[c_16570]) ).

tcf(c_17201,plain,
    ( c3_1(a903)
    | ~ iPr_def_32
    | ~ c0_1(a903)
    | ~ c1_1(a903) ),
    inference(instantiation,[status(thm)],[c_16585]) ).

tcf(c_17202,plain,
    ( ~ iPr_def_33
    | ~ c0_1(a900)
    | ~ c2_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_16587]) ).

tcf(c_17206,plain,
    ( ~ iPr_def_30
    | ~ c0_1(a911)
    | ~ c3_1(a911)
    | ~ c1_1(a911) ),
    inference(instantiation,[status(thm)],[c_16579]) ).

tcf(c_17242,plain,
    ( c3_1(a939)
    | ~ iPr_def_39
    | ~ c2_1(a939)
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16605]) ).

tcf(c_17244,plain,
    ( c0_1(a939)
    | c3_1(a939)
    | ~ iPr_def_40
    | ~ c2_1(a939) ),
    inference(instantiation,[status(thm)],[c_16636]) ).

tcf(c_17246,plain,
    ( c0_1(a939)
    | ~ iPr_def_29
    | ~ c2_1(a939)
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16578]) ).

tcf(c_17251,plain,
    ( ~ iPr_def_30
    | ~ c0_1(a953)
    | ~ c3_1(a953)
    | ~ c1_1(a953) ),
    inference(instantiation,[status(thm)],[c_16579]) ).

tcf(c_17252,plain,
    ( c0_1(a953)
    | c2_1(a953)
    | ~ iPr_def_27
    | ~ c1_1(a953) ),
    inference(instantiation,[status(thm)],[c_16574]) ).

tcf(c_17254,plain,
    ( c2_1(a953)
    | ~ iPr_def_12
    | ~ c0_1(a953)
    | ~ c1_1(a953) ),
    inference(instantiation,[status(thm)],[c_16552]) ).

tcf(c_17259,plain,
    ( c0_1(a953)
    | ~ iPr_def_34
    | ~ c3_1(a953)
    | ~ c1_1(a953) ),
    inference(instantiation,[status(thm)],[c_16591]) ).

tcf(c_17264,plain,
    ( c0_1(a905)
    | ~ iPr_def_34
    | ~ c3_1(a905)
    | ~ c1_1(a905) ),
    inference(instantiation,[status(thm)],[c_16591]) ).

tcf(c_17271,plain,
    ( c0_1(a905)
    | ~ iPr_def_29
    | ~ c2_1(a905)
    | ~ c1_1(a905) ),
    inference(instantiation,[status(thm)],[c_16578]) ).

tcf(c_17361,plain,
    ( c0_1(a910)
    | c2_1(a910)
    | ~ iPr_def_11
    | ~ c3_1(a910) ),
    inference(instantiation,[status(thm)],[c_16551]) ).

tcf(c_17371,plain,
    ( c3_1(a958)
    | c1_1(a958)
    | ~ iPr_def_16
    | ~ c2_1(a958) ),
    inference(instantiation,[status(thm)],[c_16558]) ).

tcf(c_17385,plain,
    ( c0_1(a939)
    | c3_1(a939)
    | c2_1(a939)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_16563]) ).

tcf(c_17386,plain,
    ( c0_1(a928)
    | c3_1(a928)
    | c2_1(a928)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_16563]) ).

tcf(c_17417,plain,
    ( c0_1(a901)
    | c2_1(a901)
    | c1_1(a901)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_16559]) ).

tcf(c_17428,plain,
    ( c0_1(a958)
    | c3_1(a958)
    | ~ iPr_def_40
    | ~ c2_1(a958) ),
    inference(instantiation,[status(thm)],[c_16636]) ).

tcf(c_17493,plain,
    ( c0_1(a901)
    | c3_1(a901)
    | ~ iPr_def_23
    | ~ c1_1(a901) ),
    inference(instantiation,[status(thm)],[c_16568]) ).

tcf(c_17549,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17493,c_17428,c_17417,c_17386,c_17385,c_17371,c_17361,c_17271,c_17264,c_17259,c_17251,c_17252,c_17254,c_17242,c_17244,c_17246,c_17206,c_17202,c_17201,c_17183,c_17174,c_17083,c_17070,c_17066,c_17055,c_17047,c_17046,c_17041,c_17033,c_17031,c_17016,c_17002,c_16879,c_16877,c_16875,c_16873,c_16872,c_16868,c_16866,c_16865,c_16851,c_16846,c_16841,c_16819,c_16813,c_16806,c_16802,c_16800,c_16799,c_16782,c_16781,c_16776,c_16773,c_16772,c_16771,c_16751,c_16749,c_16741,c_16739,c_16738,c_16734,c_16733,c_16727,c_16724,c_16719,c_16720,c_16721,c_16711,c_16712,c_16702,c_16701,c_16693,c_16691,c_16686,c_16682,c_16681,c_16674,c_16670,c_16669,c_16664,c_16662,c_16654,c_16650,c_16643,c_16642,c_16641,c_16637,c_16635,c_16633,c_16631,c_16630,c_16624,c_16623,c_16622,c_16620,c_16618,c_16617,c_16613,c_16612,c_16611,c_16608,c_16607,c_16606,c_16603,c_16602,c_16601,c_16600,c_16596,c_16592,c_16590,c_16589,c_16586,c_16584,c_16582,c_16581,c_16580,c_16577,c_16575,c_16572,c_16569,c_16566,c_16565,c_16561,c_16553,c_8365,c_8331,c_4684,c_4674,c_4664,c_4348,c_4331,c_4314,c_4060,c_4050,c_3526,c_3509,c_2734,c_2724,c_2714,c_2704,c_2694,c_2684,c_2479,c_2469,c_2459,c_2053,c_2043,c_2033,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_353,c_354,c_355,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_376,c_377,c_378,c_379,c_380,c_381,c_382,c_383,c_384,c_289,c_290,c_291,c_295,c_296,c_297,c_298,c_299,c_300,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_312,c_313,c_314,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_282,c_285]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN474-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.61  % Computer : n017.cluster.edu
% 0.11/5.61  % Model    : x86_64 x86_64
% 0.11/5.61  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.61  % Memory   : 8046.5625MB
% 0.11/5.61  % OS       : Linux 6.8.0-71-generic
% 0.11/5.61  % CPULimit : 300
% 0.11/5.61  % WCLimit  : 300
% 0.11/5.61  % DateTime : Fri Sep 25 01:20:08 UTC 2026
% 0.11/5.61  % CPUTime  : 
% 0.11/5.61  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.65  Running EPR theorem proving
% 0.11/5.65  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
% 0.11/5.66  
% 0.11/5.66  % ======== iProver multi-core TPTP/SMT =========
% 0.11/5.66  
% 0.11/5.66  % Detected problem language: tptp
% 0.11/5.67  % Proving...
% 4.49/6.87  % SZS status Started for theBenchmark.p
% 4.49/6.87  % SZS status Unsatisfiable for theBenchmark.p
% 4.49/6.87  
% 4.49/6.87  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.49/6.87  
% 4.49/6.87  % ------  iProver source info
% 4.49/6.87  
% 4.49/6.87  % git: date: 2026-07-19 20:42:38 +0200
% 4.49/6.87  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.49/6.87  % git: non_committed_changes: false
% 4.49/6.87  
% 4.49/6.87  % ------ Parsing...% successful
% 4.49/6.87  
% 4.49/6.87  
% 4.49/6.87  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.49/6.87  % 
% 4.49/6.87  
% 4.49/6.87  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.49/6.87  
% 4.49/6.87  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.49/6.87   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.49/6.87  % ------ Proving...
% 4.49/6.87  % ------ Problem Properties 
% 4.49/6.87  
% 4.49/6.87  % 
% 4.49/6.87  % clauses                               200
% 4.49/6.87  % conjectures                           200
% 4.49/6.87  % EPR                                   200
% 4.49/6.87  % Horn                                  112
% 4.49/6.87  % unary                                 0
% 4.49/6.87  % binary                                96
% 4.49/6.87  % lits                                  537
% 4.49/6.87  % lits eq                               0
% 4.49/6.87  % fd_pure                               0
% 4.49/6.87  % fd_pseudo                             0
% 4.49/6.87  % fd_cond                               0
% 4.49/6.87  % fd_pseudo_cond                        0
% 4.49/6.87  % AC symbols                            0
% 4.49/6.87  
% 4.49/6.87  % ------ Schedule EPR non Horn non eq is on
% 4.49/6.87  
% 4.49/6.87  % ------ no equalities: superposition off 
% 4.49/6.87  
% 4.49/6.87  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.49/6.87  
% 4.49/6.87  
% 4.49/6.87  % ------ 
% 4.49/6.87  % Current options:
% 4.49/6.87  % ------ 
% 4.49/6.87  
% 4.49/6.87  
% 4.49/6.87  % 
% 4.49/6.87  
% 4.49/6.87  % ------ Proving...
% 4.49/6.87  % 
% 4.49/6.87  
% 4.49/6.87  % SZS status Unsatisfiable for theBenchmark.p
% 4.49/6.87  
% 4.49/6.87  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.49/6.88  
% 4.49/6.88  
%------------------------------------------------------------------------------