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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN440-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.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 03:40:13 PM UTC 2026

% Result   : Unsatisfiable 4.88s 1.23s
% Output   : CNFRefutation 4.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  156
% Syntax   : Number of formulae    :  604 (   2 unt;   0 def)
%            Number of atoms       : 2376 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2991 (1219   ~;1772   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   73 (  72 usr;  69 prp; 0-1 aty)
%            Number of functors    :   37 (  37 usr;  37 con; 0-0 aty)
%            Number of variables   :  325 (   0 sgn 325   !;   0   ?; 250   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp30
    | hskp59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f34,negated_conjecture,
    ( ndr1_0
    | ~ hskp34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( ndr1_0
    | ~ hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f66,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f68,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( hskp2
    | hskp34
    | hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f71,negated_conjecture,
    ( hskp9
    | hskp17
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f74,negated_conjecture,
    ( hskp61
    | hskp60
    | hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( hskp66
    | hskp65
    | hskp64 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp66 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c2_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp65 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c3_1(a673)
    | ~ hskp64 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c1_1(a673)
    | ~ hskp64 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c3_1(a672)
    | ~ hskp63 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c3_1(a671)
    | ~ hskp62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c0_1(a671)
    | ~ hskp62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c2_1(a670)
    | ~ hskp61 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c1_1(a669)
    | ~ hskp60 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( c2_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( c3_1(a665)
    | ~ hskp59 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( c3_1(a663)
    | ~ hskp58 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f93,negated_conjecture,
    ( c2_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( c3_1(a658)
    | ~ hskp56 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( c3_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( c1_1(a653)
    | ~ hskp55 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( c3_1(a651)
    | ~ hskp54 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( c2_1(a651)
    | ~ hskp54 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( c3_1(a648)
    | ~ hskp53 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp53 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( c0_1(a647)
    | ~ hskp52 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f111,negated_conjecture,
    ( c0_1(a626)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( c3_1(a626)
    | ~ hskp46 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( c3_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( c2_1(a623)
    | ~ hskp45 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f118,negated_conjecture,
    ( c1_1(a618)
    | ~ hskp42 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( c3_1(a617)
    | ~ hskp41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f126,negated_conjecture,
    ( c1_1(a608)
    | ~ hskp38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( c3_1(a608)
    | ~ hskp38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( c0_1(a608)
    | ~ hskp38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( c1_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( c0_1(a607)
    | ~ hskp37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( c1_1(a605)
    | ~ hskp36 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( c0_1(a605)
    | ~ hskp36 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( c2_1(a602)
    | ~ hskp35 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f136,negated_conjecture,
    ( c0_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f140,negated_conjecture,
    ( c0_1(a666)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f143,negated_conjecture,
    ( c3_1(a646)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f152,negated_conjecture,
    ( c3_1(a628)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ( c2_1(a627)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ( c0_1(a627)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ( c3_1(a624)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f161,negated_conjecture,
    ( c2_1(a613)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f164,negated_conjecture,
    ( c2_1(a609)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ( c2_1(a606)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f168,negated_conjecture,
    ( c0_1(a598)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ( c2_1(a598)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ( c0_1(a597)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f171,negated_conjecture,
    ( ~ hskp66
    | ~ c2_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ( ~ hskp65
    | ~ c1_1(a674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ( ~ hskp64
    | ~ c0_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ( ~ hskp63
    | ~ c0_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ( ~ hskp63
    | ~ c2_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f176,negated_conjecture,
    ( ~ hskp62
    | ~ c1_1(a671) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ( ~ hskp61
    | ~ c1_1(a670) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ( ~ hskp61
    | ~ c0_1(a670) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ( ~ hskp60
    | ~ c2_1(a669) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ( ~ hskp59
    | ~ c0_1(a665) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ( ~ hskp58
    | ~ c0_1(a663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ( ~ hskp58
    | ~ c1_1(a663) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f184,negated_conjecture,
    ( ~ hskp56
    | ~ c1_1(a658) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ( ~ hskp55
    | ~ c2_1(a653) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ( ~ hskp54
    | ~ c0_1(a651) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ( ~ hskp53
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ( ~ hskp52
    | ~ c2_1(a647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ( ~ hskp52
    | ~ c1_1(a647) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f197,negated_conjecture,
    ( ~ hskp45
    | ~ c0_1(a623) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f201,negated_conjecture,
    ( ~ hskp42
    | ~ c2_1(a618) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ( ~ hskp42
    | ~ c3_1(a618) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ( ~ hskp41
    | ~ c1_1(a617) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f205,negated_conjecture,
    ( ~ hskp37
    | ~ c2_1(a607) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).

fof(f206,negated_conjecture,
    ( ~ hskp36
    | ~ c3_1(a605) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).

fof(f207,negated_conjecture,
    ( ~ hskp35
    | ~ c3_1(a602) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).

fof(f208,negated_conjecture,
    ( ~ hskp35
    | ~ c1_1(a602) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).

fof(f210,negated_conjecture,
    ( ~ hskp33
    | ~ c2_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause210) ).

fof(f215,negated_conjecture,
    ( ~ hskp30
    | ~ c2_1(a666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause215) ).

fof(f216,negated_conjecture,
    ( ~ hskp30
    | ~ c3_1(a666) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause216) ).

fof(f217,negated_conjecture,
    ( ~ hskp29
    | ~ c1_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause217) ).

fof(f218,negated_conjecture,
    ( ~ hskp29
    | ~ c3_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause218) ).

fof(f219,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a660) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause219) ).

fof(f227,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause227) ).

fof(f228,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a646) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause228) ).

fof(f235,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a635) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause235) ).

fof(f236,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a635) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause236) ).

fof(f237,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a635) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause237) ).

fof(f242,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a628) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause242) ).

fof(f243,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a628) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause243) ).

fof(f244,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a627) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause244) ).

fof(f245,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a625) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause245) ).

fof(f246,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a625) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause246) ).

fof(f247,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a625) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause247) ).

fof(f248,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a624) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause248) ).

fof(f249,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a624) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause249) ).

fof(f258,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a613) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause258) ).

fof(f263,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a609) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause263) ).

fof(f264,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a609) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause264) ).

fof(f265,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a606) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause265) ).

fof(f266,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a606) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause266) ).

fof(f270,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause270) ).

fof(f271,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause271) ).

fof(f274,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a598) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause274) ).

fof(f275,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a597) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause275) ).

fof(f276,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a597) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause276) ).

fof(f279,negated_conjecture,
    ! [X0] :
      ( hskp63
      | hskp62
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause279) ).

fof(f280,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause280) ).

fof(f284,negated_conjecture,
    ! [X0] :
      ( hskp52
      | hskp25
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause284) ).

fof(f285,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp53
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause285) ).

fof(f286,negated_conjecture,
    ! [X0] :
      ( hskp54
      | hskp37
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause286) ).

fof(f288,negated_conjecture,
    ! [X0] :
      ( hskp29
      | hskp3
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause288) ).

fof(f289,negated_conjecture,
    ! [X0] :
      ( hskp6
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause289) ).

fof(f293,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp14
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause293) ).

fof(f295,negated_conjecture,
    ! [X0] :
      ( hskp41
      | hskp58
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause295) ).

fof(f297,negated_conjecture,
    ! [X0,X1] :
      ( c3_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause297) ).

fof(f298,negated_conjecture,
    ! [X0] :
      ( hskp37
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause298) ).

fof(f299,negated_conjecture,
    ! [X0,X1] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause299) ).

fof(f300,negated_conjecture,
    ! [X0,X1] :
      ( hskp42
      | c1_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause300) ).

fof(f301,negated_conjecture,
    ! [X0,X1] :
      ( c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause301) ).

fof(f302,negated_conjecture,
    ! [X0,X1] :
      ( hskp38
      | c0_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause302) ).

fof(f303,negated_conjecture,
    ! [X0,X1] :
      ( hskp42
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause303) ).

fof(f305,negated_conjecture,
    ! [X0,X1] :
      ( hskp55
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause305) ).

fof(f306,negated_conjecture,
    ! [X0,X1] :
      ( hskp56
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause306) ).

fof(f307,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause307) ).

fof(f308,negated_conjecture,
    ! [X0,X1] :
      ( hskp45
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause308) ).

fof(f309,negated_conjecture,
    ! [X0,X1] :
      ( hskp46
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause309) ).

fof(f310,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause310) ).

fof(f311,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause311) ).

fof(f312,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c2_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause312) ).

fof(f313,negated_conjecture,
    ! [X0,X1] :
      ( hskp55
      | c1_1(X1)
      | c0_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause313) ).

fof(f314,negated_conjecture,
    ! [X0,X1] :
      ( hskp41
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause314) ).

fof(f315,negated_conjecture,
    ! [X0,X1] :
      ( hskp36
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause315) ).

fof(f318,negated_conjecture,
    ! [X0,X1] :
      ( hskp35
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause318) ).

fof(f319,negated_conjecture,
    ! [X0,X1] :
      ( hskp57
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause319) ).

fof(f320,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause320) ).

fof(f321,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause321) ).

fof(f322,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c3_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause322) ).

fof(f323,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause323) ).

fof(f324,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause324) ).

fof(f325,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause325) ).

fof(f326,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause326) ).

fof(f327,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause327) ).

fof(f328,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause328) ).

tcf(c_377,negated_conjecture,
    ( hskp30
    | hskp59 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_410,negated_conjecture,
    ( ndr1_0
    | ~ hskp34 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_411,negated_conjecture,
    ( ndr1_0
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_442,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_444,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_445,negated_conjecture,
    ( hskp2
    | hskp33
    | hskp34 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_447,negated_conjecture,
    ( hskp9
    | hskp16
    | hskp17 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_450,negated_conjecture,
    ( hskp33
    | hskp60
    | hskp61 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_451,negated_conjecture,
    ( hskp64
    | hskp65
    | hskp66 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_452,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_453,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_454,negated_conjecture,
    ( c2_1(a674)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_455,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_456,negated_conjecture,
    ( c3_1(a673)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_457,negated_conjecture,
    ( c1_1(a673)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_458,negated_conjecture,
    ( c3_1(a672)
    | ~ hskp63 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_459,negated_conjecture,
    ( c3_1(a671)
    | ~ hskp62 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_460,negated_conjecture,
    ( c0_1(a671)
    | ~ hskp62 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_461,negated_conjecture,
    ( c2_1(a670)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_462,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_463,negated_conjecture,
    ( c1_1(a669)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_464,negated_conjecture,
    ( c2_1(a665)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_465,negated_conjecture,
    ( c3_1(a665)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_466,negated_conjecture,
    ( c3_1(a663)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_469,negated_conjecture,
    ( c2_1(a658)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_470,negated_conjecture,
    ( c3_1(a658)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_471,negated_conjecture,
    ( c3_1(a653)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_472,negated_conjecture,
    ( c1_1(a653)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_473,negated_conjecture,
    ( c3_1(a651)
    | ~ hskp54 ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_474,negated_conjecture,
    ( c2_1(a651)
    | ~ hskp54 ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_475,negated_conjecture,
    ( c3_1(a648)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_476,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_477,negated_conjecture,
    ( c0_1(a647)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_487,negated_conjecture,
    ( c0_1(a626)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_488,negated_conjecture,
    ( c3_1(a626)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_489,negated_conjecture,
    ( c3_1(a623)
    | ~ hskp45 ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_490,negated_conjecture,
    ( c2_1(a623)
    | ~ hskp45 ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_494,negated_conjecture,
    ( c1_1(a618)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_495,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_496,negated_conjecture,
    ( c3_1(a617)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_502,negated_conjecture,
    ( c1_1(a608)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_503,negated_conjecture,
    ( c3_1(a608)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_504,negated_conjecture,
    ( c0_1(a608)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_505,negated_conjecture,
    ( c1_1(a607)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_506,negated_conjecture,
    ( c0_1(a607)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_507,negated_conjecture,
    ( c1_1(a605)
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_508,negated_conjecture,
    ( c0_1(a605)
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_509,negated_conjecture,
    ( c2_1(a602)
    | ~ hskp35 ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_512,negated_conjecture,
    ( c0_1(a599)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_513,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_516,negated_conjecture,
    ( c0_1(a666)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_519,negated_conjecture,
    ( c3_1(a646)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_528,negated_conjecture,
    ( c3_1(a628)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_529,negated_conjecture,
    ( c2_1(a627)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_530,negated_conjecture,
    ( c0_1(a627)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_531,negated_conjecture,
    ( c3_1(a624)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_537,negated_conjecture,
    ( c2_1(a613)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_540,negated_conjecture,
    ( c2_1(a609)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_541,negated_conjecture,
    ( c2_1(a606)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_542,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_544,negated_conjecture,
    ( c0_1(a598)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_545,negated_conjecture,
    ( c2_1(a598)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_546,negated_conjecture,
    ( c0_1(a597)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_547,negated_conjecture,
    ( ~ hskp66
    | ~ c2_1(a675) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_548,negated_conjecture,
    ( ~ hskp65
    | ~ c1_1(a674) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_549,negated_conjecture,
    ( ~ hskp64
    | ~ c0_1(a673) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_550,negated_conjecture,
    ( ~ hskp63
    | ~ c0_1(a672) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_551,negated_conjecture,
    ( ~ hskp63
    | ~ c2_1(a672) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_552,negated_conjecture,
    ( ~ hskp62
    | ~ c1_1(a671) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_553,negated_conjecture,
    ( ~ hskp61
    | ~ c1_1(a670) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_554,negated_conjecture,
    ( ~ hskp61
    | ~ c0_1(a670) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_555,negated_conjecture,
    ( ~ hskp60
    | ~ c2_1(a669) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_556,negated_conjecture,
    ( ~ hskp59
    | ~ c0_1(a665) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_557,negated_conjecture,
    ( ~ hskp58
    | ~ c0_1(a663) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_558,negated_conjecture,
    ( ~ hskp58
    | ~ c1_1(a663) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_560,negated_conjecture,
    ( ~ hskp56
    | ~ c1_1(a658) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_561,negated_conjecture,
    ( ~ hskp55
    | ~ c2_1(a653) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_562,negated_conjecture,
    ( ~ hskp54
    | ~ c0_1(a651) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_563,negated_conjecture,
    ( ~ hskp53
    | ~ c2_1(a648) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_564,negated_conjecture,
    ( ~ hskp52
    | ~ c2_1(a647) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_565,negated_conjecture,
    ( ~ hskp52
    | ~ c1_1(a647) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_573,negated_conjecture,
    ( ~ hskp45
    | ~ c0_1(a623) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_577,negated_conjecture,
    ( ~ hskp42
    | ~ c2_1(a618) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_578,negated_conjecture,
    ( ~ hskp42
    | ~ c3_1(a618) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_579,negated_conjecture,
    ( ~ hskp41
    | ~ c1_1(a617) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_581,negated_conjecture,
    ( ~ hskp37
    | ~ c2_1(a607) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_582,negated_conjecture,
    ( ~ hskp36
    | ~ c3_1(a605) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_583,negated_conjecture,
    ( ~ hskp35
    | ~ c3_1(a602) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_584,negated_conjecture,
    ( ~ hskp35
    | ~ c1_1(a602) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_586,negated_conjecture,
    ( ~ hskp33
    | ~ c2_1(a599) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_591,negated_conjecture,
    ( ~ hskp30
    | ~ c2_1(a666) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_592,negated_conjecture,
    ( ~ hskp30
    | ~ c3_1(a666) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_593,negated_conjecture,
    ( ~ hskp29
    | ~ c1_1(a660) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_594,negated_conjecture,
    ( ~ hskp29
    | ~ c3_1(a660) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_595,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a660) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_603,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a646) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_604,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a646) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_611,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a635) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_612,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a635) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_613,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a635) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_618,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a628) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_619,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a628) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_620,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a627) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_621,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a625) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_622,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a625) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_623,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a625) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_624,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a624) ),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_625,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a624) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_634,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a613) ),
    inference(cnf_transformation,[],[f258]) ).

tcf(c_639,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a609) ),
    inference(cnf_transformation,[],[f263]) ).

tcf(c_640,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a609) ),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_641,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a606) ),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_642,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a606) ),
    inference(cnf_transformation,[],[f266]) ).

tcf(c_646,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_647,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a603) ),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_650,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a598) ),
    inference(cnf_transformation,[],[f274]) ).

tcf(c_651,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a597) ),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_652,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a597) ),
    inference(cnf_transformation,[],[f276]) ).

tcf(c_655,negated_conjecture,
    ! [X0: $i] :
      ( hskp62
      | hskp63
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_660,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp52
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f284]) ).

tcf(c_661,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp53
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f285]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i] :
      ( hskp37
      | hskp54
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_664,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp29
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f288]) ).

tcf(c_665,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f289]) ).

tcf(c_669,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp15
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f293]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i] :
      ( hskp41
      | hskp58
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f295]) ).

tcf(c_673,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f297]) ).

tcf(c_674,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp37
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f298]) ).

tcf(c_675,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_676,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp42
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f300]) ).

tcf(c_677,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f301]) ).

tcf(c_678,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp38
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f302]) ).

tcf(c_679,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp42
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f303]) ).

tcf(c_681,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f305]) ).

tcf(c_682,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp56
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f306]) ).

tcf(c_683,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

tcf(c_684,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp45
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f308]) ).

tcf(c_685,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp46
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_686,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_687,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_688,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f312]) ).

tcf(c_689,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_690,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp41
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_691,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp36
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_694,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp35
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_695,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp57
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_696,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f320]) ).

tcf(c_697,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f321]) ).

tcf(c_698,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f322]) ).

tcf(c_699,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f323]) ).

tcf(c_700,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f324]) ).

tcf(c_701,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f325]) ).

tcf(c_702,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f326]) ).

tcf(c_703,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f327]) ).

tcf(c_704,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f328]) ).

tcf(c_705,plain,
    ( hskp62
    | hskp63
    | c2_1(a597)
    | c3_1(a597)
    | c1_1(a597)
    | ~ ndr1_0 ),
    inference(instantiation,[status(thm)],[c_655]) ).

tcf(c_729,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_444,c_445,c_442,c_411,c_410]) ).

tcf(c_863,negated_conjecture,
    ! [X0: $i] :
      ( hskp62
      | hskp63
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_655,c_445,c_442,c_411,c_410,c_655]) ).

tcf(c_872,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp29
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_664,c_445,c_442,c_411,c_410,c_664]) ).

tcf(c_878,negated_conjecture,
    ! [X0: $i] :
      ( hskp37
      | hskp54
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_662,c_445,c_442,c_411,c_410,c_662]) ).

tcf(c_881,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp53
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_661,c_445,c_442,c_411,c_410,c_661]) ).

tcf(c_884,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp52
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_660,c_445,c_442,c_411,c_410,c_660]) ).

tcf(c_896,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_656,c_445,c_442,c_411,c_410,c_656]) ).

tcf(c_902,plain,
    ! [X0: $i] :
      ( hskp41
      | hskp58
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_671,c_445,c_442,c_411,c_410,c_671]) ).

tcf(c_903,negated_conjecture,
    ! [X0: $i] :
      ( hskp41
      | hskp58
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_902]) ).

tcf(c_908,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp15
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_669,c_445,c_442,c_411,c_410,c_669]) ).

tcf(c_909,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp15
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_908]) ).

tcf(c_920,plain,
    ! [X0: $i] :
      ( hskp6
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_665,c_445,c_442,c_411,c_410,c_665]) ).

tcf(c_921,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_920]) ).

tcf(c_923,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp37
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_674,c_445,c_442,c_411,c_410,c_674]) ).

tcf(c_924,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp37
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_923]) ).

tcf(c_926,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_673,c_445,c_442,c_411,c_410,c_673]) ).

tcf(c_929,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_675,c_445,c_442,c_411,c_410,c_675]) ).

tcf(c_931,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp42
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_676,c_445,c_442,c_411,c_410,c_676]) ).

tcf(c_933,plain,
    ! [X0: $i,X1: $i] :
      ( hskp56
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_682,c_445,c_442,c_411,c_410,c_682]) ).

tcf(c_934,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp56
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_933]) ).

tcf(c_935,plain,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_681,c_445,c_442,c_411,c_410,c_681]) ).

tcf(c_936,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_935]) ).

tcf(c_939,plain,
    ! [X0: $i,X1: $i] :
      ( hskp42
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_679,c_445,c_442,c_411,c_410,c_679]) ).

tcf(c_940,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp42
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_939]) ).

tcf(c_941,plain,
    ! [X0: $i,X1: $i] :
      ( hskp38
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_678,c_445,c_442,c_411,c_410,c_678]) ).

tcf(c_942,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp38
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_941]) ).

tcf(c_943,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_677,c_445,c_442,c_411,c_410,c_677]) ).

tcf(c_944,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_943]) ).

tcf(c_946,plain,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_689,c_445,c_442,c_411,c_410,c_689]) ).

tcf(c_947,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_946]) ).

tcf(c_948,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_688,c_445,c_442,c_411,c_410,c_688]) ).

tcf(c_949,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_948]) ).

tcf(c_950,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_687,c_445,c_442,c_411,c_410,c_687]) ).

tcf(c_951,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_950]) ).

tcf(c_952,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_686,c_445,c_442,c_411,c_410,c_686]) ).

tcf(c_953,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_952]) ).

tcf(c_954,plain,
    ! [X0: $i,X1: $i] :
      ( hskp46
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_685,c_445,c_442,c_411,c_410,c_685]) ).

tcf(c_955,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp46
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_954]) ).

tcf(c_956,plain,
    ! [X0: $i,X1: $i] :
      ( hskp45
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_684,c_445,c_442,c_411,c_410,c_684]) ).

tcf(c_957,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp45
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_956]) ).

tcf(c_958,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_683,c_445,c_442,c_411,c_410,c_683]) ).

tcf(c_959,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_958]) ).

tcf(c_964,plain,
    ! [X0: $i,X1: $i] :
      ( hskp36
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_691,c_445,c_442,c_411,c_410,c_691]) ).

tcf(c_965,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp36
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_964]) ).

tcf(c_966,plain,
    ! [X0: $i,X1: $i] :
      ( hskp41
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_690,c_690,c_729]) ).

tcf(c_967,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp41
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_966]) ).

tcf(c_969,plain,
    ! [X0: $i,X1: $i] :
      ( hskp57
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_695,c_445,c_442,c_411,c_410,c_695]) ).

tcf(c_970,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp57
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_969]) ).

tcf(c_971,plain,
    ! [X0: $i,X1: $i] :
      ( hskp35
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_694,c_445,c_442,c_411,c_410,c_694]) ).

tcf(c_972,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp35
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_971]) ).

tcf(c_973,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_696,c_445,c_442,c_411,c_410,c_696]) ).

tcf(c_974,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_973]) ).

tcf(c_975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_697,c_445,c_442,c_411,c_410,c_697]) ).

tcf(c_976,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_975]) ).

tcf(c_977,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_699,c_445,c_442,c_411,c_410,c_699]) ).

tcf(c_978,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_977]) ).

tcf(c_979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_698,c_445,c_442,c_411,c_410,c_698]) ).

tcf(c_980,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_979]) ).

tcf(c_981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_702,c_445,c_442,c_411,c_410,c_702]) ).

tcf(c_982,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_981]) ).

tcf(c_983,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_701,c_445,c_442,c_411,c_410,c_701]) ).

tcf(c_984,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_983]) ).

tcf(c_985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_700,c_445,c_442,c_411,c_410,c_700]) ).

tcf(c_986,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_985]) ).

tcf(c_987,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_703,c_445,c_442,c_411,c_410,c_703]) ).

tcf(c_988,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c2_1(X2)
      | c3_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_987]) ).

tcf(c_989,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_704,c_445,c_442,c_411,c_410,c_704]) ).

tcf(c_990,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_989]) ).

tcf(c_2073,plain,
    ! [X0: $i,X1: $i] :
      ( hskp55
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_936,c_929]) ).

tcf(c_2097,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_978,c_944]) ).

tcf(c_2511,plain,
    ( hskp30
    | ~ c0_1(a665) ),
    inference(resolution,[status(thm)],[c_377,c_556]) ).

tcf(c_2518,plain,
    ( hskp30
    | c3_1(a665) ),
    inference(resolution,[status(thm)],[c_377,c_465]) ).

tcf(c_2525,plain,
    ( hskp30
    | c2_1(a665) ),
    inference(resolution,[status(thm)],[c_377,c_464]) ).

tcf(c_2538,plain,
    ( hskp64
    | hskp65
    | ~ c2_1(a675) ),
    inference(resolution,[status(thm)],[c_451,c_547]) ).

tcf(c_2548,plain,
    ( hskp64
    | hskp65
    | c3_1(a675) ),
    inference(resolution,[status(thm)],[c_451,c_453]) ).

tcf(c_2558,plain,
    ( hskp64
    | hskp65
    | c1_1(a675) ),
    inference(resolution,[status(thm)],[c_451,c_452]) ).

tcf(c_2577,plain,
    ( hskp33
    | hskp60
    | ~ c0_1(a670) ),
    inference(resolution,[status(thm)],[c_450,c_554]) ).

tcf(c_2587,plain,
    ( hskp33
    | hskp60
    | ~ c1_1(a670) ),
    inference(resolution,[status(thm)],[c_450,c_553]) ).

tcf(c_2597,plain,
    ( hskp33
    | hskp60
    | c2_1(a670) ),
    inference(resolution,[status(thm)],[c_450,c_461]) ).

tcf(c_2826,plain,
    ! [X0: $i] :
      ( hskp62
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(a672) ),
    inference(resolution,[status(thm)],[c_863,c_551]) ).

tcf(c_2827,plain,
    ( hskp62
    | c2_1(a597)
    | c3_1(a597)
    | c1_1(a597)
    | ~ c2_1(a672) ),
    inference(instantiation,[status(thm)],[c_2826]) ).

tcf(c_2843,plain,
    ! [X0: $i] :
      ( hskp62
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(a672) ),
    inference(resolution,[status(thm)],[c_863,c_550]) ).

tcf(c_2844,plain,
    ( hskp62
    | c2_1(a597)
    | c3_1(a597)
    | c1_1(a597)
    | ~ c0_1(a672) ),
    inference(instantiation,[status(thm)],[c_2843]) ).

tcf(c_2860,plain,
    ! [X0: $i] :
      ( hskp62
      | c3_1(a672)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_863,c_458]) ).

tcf(c_2861,plain,
    ( hskp62
    | c2_1(a597)
    | c3_1(a597)
    | c3_1(a672)
    | c1_1(a597) ),
    inference(instantiation,[status(thm)],[c_2860]) ).

tcf(c_2892,plain,
    ! [X0: $i] :
      ( hskp63
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(a671) ),
    inference(resolution,[status(thm)],[c_863,c_552]) ).

tcf(c_2893,plain,
    ( hskp63
    | c2_1(a597)
    | c3_1(a597)
    | c1_1(a597)
    | ~ c1_1(a671) ),
    inference(instantiation,[status(thm)],[c_2892]) ).

tcf(c_2909,plain,
    ! [X0: $i] :
      ( hskp63
      | c0_1(a671)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_863,c_460]) ).

tcf(c_2910,plain,
    ( hskp63
    | c0_1(a671)
    | c2_1(a597)
    | c3_1(a597)
    | c1_1(a597) ),
    inference(instantiation,[status(thm)],[c_2909]) ).

tcf(c_2926,plain,
    ! [X0: $i] :
      ( hskp63
      | c3_1(a671)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_863,c_459]) ).

tcf(c_2927,plain,
    ( hskp63
    | c2_1(a597)
    | c3_1(a597)
    | c3_1(a671)
    | c1_1(a597) ),
    inference(instantiation,[status(thm)],[c_2926]) ).

tcf(c_5896,plain,
    ( hskp65
    | c1_1(a675)
    | ~ c0_1(a673) ),
    inference(resolution,[status(thm)],[c_2558,c_549]) ).

tcf(c_5906,plain,
    ( hskp65
    | c1_1(a673)
    | c1_1(a675) ),
    inference(resolution,[status(thm)],[c_2558,c_457]) ).

tcf(c_5916,plain,
    ( hskp65
    | c3_1(a673)
    | c1_1(a675) ),
    inference(resolution,[status(thm)],[c_2558,c_456]) ).

tcf(c_5926,plain,
    ( hskp65
    | c3_1(a675)
    | ~ c0_1(a673) ),
    inference(resolution,[status(thm)],[c_2548,c_549]) ).

tcf(c_5936,plain,
    ( hskp65
    | c3_1(a675)
    | c1_1(a673) ),
    inference(resolution,[status(thm)],[c_2548,c_457]) ).

tcf(c_5946,plain,
    ( hskp65
    | c3_1(a673)
    | c3_1(a675) ),
    inference(resolution,[status(thm)],[c_2548,c_456]) ).

tcf(c_5956,plain,
    ( hskp65
    | ~ c0_1(a673)
    | ~ c2_1(a675) ),
    inference(resolution,[status(thm)],[c_2538,c_549]) ).

tcf(c_5966,plain,
    ( hskp65
    | c1_1(a673)
    | ~ c2_1(a675) ),
    inference(resolution,[status(thm)],[c_2538,c_457]) ).

tcf(c_5976,plain,
    ( hskp65
    | c3_1(a673)
    | ~ c2_1(a675) ),
    inference(resolution,[status(thm)],[c_2538,c_456]) ).

tcf(c_6013,plain,
    ( hskp33
    | c2_1(a670)
    | ~ c2_1(a669) ),
    inference(resolution,[status(thm)],[c_2597,c_555]) ).

tcf(c_6023,plain,
    ( hskp33
    | c2_1(a670)
    | c1_1(a669) ),
    inference(resolution,[status(thm)],[c_2597,c_463]) ).

tcf(c_6033,plain,
    ( hskp33
    | c0_1(a669)
    | c2_1(a670) ),
    inference(resolution,[status(thm)],[c_2597,c_462]) ).

tcf(c_6043,plain,
    ( hskp33
    | ~ c2_1(a669)
    | ~ c1_1(a670) ),
    inference(resolution,[status(thm)],[c_2587,c_555]) ).

tcf(c_6053,plain,
    ( hskp33
    | c1_1(a669)
    | ~ c1_1(a670) ),
    inference(resolution,[status(thm)],[c_2587,c_463]) ).

tcf(c_6063,plain,
    ( hskp33
    | c0_1(a669)
    | ~ c1_1(a670) ),
    inference(resolution,[status(thm)],[c_2587,c_462]) ).

tcf(c_6073,plain,
    ( hskp33
    | ~ c0_1(a670)
    | ~ c2_1(a669) ),
    inference(resolution,[status(thm)],[c_2577,c_555]) ).

tcf(c_6083,plain,
    ( hskp33
    | c1_1(a669)
    | ~ c0_1(a670) ),
    inference(resolution,[status(thm)],[c_2577,c_463]) ).

tcf(c_6093,plain,
    ( hskp33
    | c0_1(a669)
    | ~ c0_1(a670) ),
    inference(resolution,[status(thm)],[c_2577,c_462]) ).

tcf(c_6739,plain,
    ( c2_1(a665)
    | ~ c3_1(a666) ),
    inference(resolution,[status(thm)],[c_2525,c_592]) ).

tcf(c_6746,plain,
    ( c2_1(a665)
    | ~ c2_1(a666) ),
    inference(resolution,[status(thm)],[c_2525,c_591]) ).

tcf(c_6753,plain,
    ( c0_1(a666)
    | c2_1(a665) ),
    inference(resolution,[status(thm)],[c_2525,c_516]) ).

tcf(c_6760,plain,
    ( c3_1(a665)
    | ~ c3_1(a666) ),
    inference(resolution,[status(thm)],[c_2518,c_592]) ).

tcf(c_6767,plain,
    ( c3_1(a665)
    | ~ c2_1(a666) ),
    inference(resolution,[status(thm)],[c_2518,c_591]) ).

tcf(c_6774,plain,
    ( c0_1(a666)
    | c3_1(a665) ),
    inference(resolution,[status(thm)],[c_2518,c_516]) ).

tcf(c_6781,plain,
    ( ~ c0_1(a665)
    | ~ c3_1(a666) ),
    inference(resolution,[status(thm)],[c_2511,c_592]) ).

tcf(c_6788,plain,
    ( ~ c0_1(a665)
    | ~ c2_1(a666) ),
    inference(resolution,[status(thm)],[c_2511,c_591]) ).

tcf(c_6795,plain,
    ( c0_1(a666)
    | ~ c0_1(a665) ),
    inference(resolution,[status(thm)],[c_2511,c_516]) ).

tcf(c_8080,plain,
    ( hskp16
    | hskp17
    | ~ c3_1(a613) ),
    inference(resolution,[status(thm)],[c_447,c_634]) ).

tcf(c_8090,plain,
    ( hskp16
    | hskp17
    | c2_1(a613) ),
    inference(resolution,[status(thm)],[c_447,c_537]) ).

tcf(c_15862,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_2097]) ).

tcf(c_15864,plain,
    ! [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_2097]) ).

tcf(c_15867,plain,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_2073]) ).

tcf(c_15869,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_990]) ).

tcf(c_15870,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_990]) ).

tcf(c_15873,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_988]) ).

tcf(c_15874,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_988]) ).

tcf(c_15875,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_988]) ).

tcf(c_15876,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_986]) ).

tcf(c_15877,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_986]) ).

tcf(c_15879,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_984]) ).

tcf(c_15880,negated_conjecture,
    ( iPr_def_22
    | iPr_def_20
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_984]) ).

tcf(c_15881,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_982]) ).

tcf(c_15882,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_982]) ).

tcf(c_15884,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_980]) ).

tcf(c_15885,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_980]) ).

tcf(c_15886,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_980]) ).

tcf(c_15887,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_976]) ).

tcf(c_15888,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_976]) ).

tcf(c_15889,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_976]) ).

tcf(c_15890,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_974]) ).

tcf(c_15891,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_974]) ).

tcf(c_15892,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_974]) ).

tcf(c_15893,negated_conjecture,
    ( iPr_def_15
    | iPr_def_10
    | hskp35 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_972]) ).

tcf(c_15894,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_970]) ).

tcf(c_15896,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_967]) ).

tcf(c_15897,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_967]) ).

tcf(c_15898,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | hskp41 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_967]) ).

tcf(c_15899,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp36 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_965]) ).

tcf(c_15903,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_959]) ).

tcf(c_15905,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_957]) ).

tcf(c_15906,negated_conjecture,
    ( iPr_def_36
    | iPr_def_18
    | hskp45 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_957]) ).

tcf(c_15907,negated_conjecture,
    ( iPr_def_36
    | iPr_def_26
    | hskp46 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_955]) ).

tcf(c_15908,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_953]) ).

tcf(c_15909,negated_conjecture,
    ( iPr_def_37
    | iPr_def_16
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_953]) ).

tcf(c_15910,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_951]) ).

tcf(c_15911,negated_conjecture,
    ( iPr_def_38
    | iPr_def_23
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_951]) ).

tcf(c_15912,negated_conjecture,
    ( iPr_def_32
    | iPr_def_22
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_949]) ).

tcf(c_15913,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp55 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_947]) ).

tcf(c_15914,negated_conjecture,
    ( iPr_def_14
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_944]) ).

tcf(c_15915,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_942]) ).

tcf(c_15916,negated_conjecture,
    ( iPr_def_39
    | iPr_def_29
    | hskp38 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_942]) ).

tcf(c_15917,negated_conjecture,
    ( iPr_def_27
    | iPr_def_21
    | hskp42 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_940]) ).

tcf(c_15919,negated_conjecture,
    ( iPr_def_36
    | iPr_def_22
    | hskp56 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_934]) ).

tcf(c_15920,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | hskp42 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_931]) ).

tcf(c_15921,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_929]) ).

tcf(c_15922,negated_conjecture,
    ( iPr_def_28
    | iPr_def_25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_926]) ).

tcf(c_15923,negated_conjecture,
    ( iPr_def_15
    | hskp5
    | hskp37 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_924]) ).

tcf(c_15927,negated_conjecture,
    ( iPr_def_20
    | hskp14
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_909]) ).

tcf(c_15929,negated_conjecture,
    ( iPr_def_10
    | hskp41
    | hskp58 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_903]) ).

tcf(c_15931,negated_conjecture,
    ( iPr_def_27
    | hskp0
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_896]) ).

tcf(c_15936,negated_conjecture,
    ( iPr_def_38
    | hskp25
    | hskp52 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_884]) ).

tcf(c_15937,negated_conjecture,
    ( iPr_def_27
    | hskp17
    | hskp53 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_881]) ).

tcf(c_15938,negated_conjecture,
    ( iPr_def_14
    | hskp37
    | hskp54 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_878]) ).

tcf(c_15940,negated_conjecture,
    ( iPr_def_37
    | hskp3
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_872]) ).

tcf(c_15943,negated_conjecture,
    ( iPr_def_35
    | hskp62
    | hskp63 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_863]) ).

tcf(c_15949,plain,
    ( c2_1(a597)
    | c3_1(a597)
    | c1_1(a597)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_15951,plain,
    ( c2_1(a597)
    | c1_1(a597)
    | ~ iPr_def_21
    | ~ c0_1(a597) ),
    inference(instantiation,[status(thm)],[c_15877]) ).

tcf(c_15958,plain,
    ( c2_1(a597)
    | c3_1(a597)
    | ~ iPr_def_38
    | ~ c0_1(a597) ),
    inference(instantiation,[status(thm)],[c_15910]) ).

tcf(c_15965,plain,
    ( c1_1(a597)
    | ~ iPr_def_20
    | ~ c0_1(a597)
    | ~ c2_1(a597) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_15993,plain,
    ( ~ iPr_def_15
    | ~ c0_1(a617)
    | ~ c2_1(a617)
    | ~ c3_1(a617) ),
    inference(instantiation,[status(thm)],[c_15869]) ).

tcf(c_16004,plain,
    ( c1_1(a617)
    | ~ iPr_def_20
    | ~ c0_1(a617)
    | ~ c2_1(a617) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_16007,plain,
    ( c1_1(a627)
    | ~ iPr_def_20
    | ~ c0_1(a627)
    | ~ c2_1(a627) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_16010,plain,
    ( c1_1(a598)
    | ~ iPr_def_20
    | ~ c0_1(a598)
    | ~ c2_1(a598) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_16042,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | c1_1(a606)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15888]) ).

tcf(c_16043,plain,
    ( c0_1(a673)
    | ~ iPr_def_39
    | ~ c3_1(a673)
    | ~ c1_1(a673) ),
    inference(instantiation,[status(thm)],[c_15915]) ).

tcf(c_16053,plain,
    ( c2_1(a671)
    | ~ iPr_def_10
    | ~ c0_1(a671)
    | ~ c3_1(a671) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16055,plain,
    ( c2_1(a653)
    | ~ iPr_def_10
    | ~ c0_1(a653)
    | ~ c3_1(a653) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16056,plain,
    ( c2_1(a648)
    | ~ iPr_def_10
    | ~ c0_1(a648)
    | ~ c3_1(a648) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16057,plain,
    ( c2_1(a626)
    | ~ iPr_def_10
    | ~ c0_1(a626)
    | ~ c3_1(a626) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16061,plain,
    ( c2_1(a599)
    | ~ iPr_def_10
    | ~ c0_1(a599)
    | ~ c3_1(a599) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16074,plain,
    ( c0_1(a613)
    | c3_1(a613)
    | ~ iPr_def_14
    | ~ c2_1(a613) ),
    inference(instantiation,[status(thm)],[c_15867]) ).

tcf(c_16075,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | ~ iPr_def_14
    | ~ c2_1(a606) ),
    inference(instantiation,[status(thm)],[c_15867]) ).

tcf(c_16081,plain,
    ( c0_1(a609)
    | c3_1(a609)
    | ~ iPr_def_14
    | ~ c2_1(a609) ),
    inference(instantiation,[status(thm)],[c_15867]) ).

tcf(c_16082,plain,
    ( c0_1(a609)
    | c1_1(a609)
    | ~ iPr_def_24
    | ~ c2_1(a609) ),
    inference(instantiation,[status(thm)],[c_15882]) ).

tcf(c_16089,plain,
    ( c2_1(a671)
    | c1_1(a671)
    | ~ iPr_def_22
    | ~ c3_1(a671) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16092,plain,
    ( c2_1(a648)
    | c1_1(a648)
    | ~ iPr_def_22
    | ~ c3_1(a648) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16098,plain,
    ( c2_1(a646)
    | c1_1(a646)
    | ~ iPr_def_22
    | ~ c3_1(a646) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16110,plain,
    ( c0_1(a609)
    | ~ iPr_def_18
    | ~ c2_1(a609)
    | ~ c3_1(a609) ),
    inference(instantiation,[status(thm)],[c_15873]) ).

tcf(c_16120,plain,
    ( c2_1(a673)
    | ~ iPr_def_33
    | ~ c3_1(a673)
    | ~ c1_1(a673) ),
    inference(instantiation,[status(thm)],[c_15897]) ).

tcf(c_16130,plain,
    ( c2_1(a646)
    | ~ iPr_def_33
    | ~ c3_1(a646)
    | ~ c1_1(a646) ),
    inference(instantiation,[status(thm)],[c_15897]) ).

tcf(c_16136,plain,
    ( c0_1(a625)
    | c3_1(a625)
    | c1_1(a625)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15888]) ).

tcf(c_16153,plain,
    ( c2_1(a635)
    | c3_1(a635)
    | c1_1(a635)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_16157,plain,
    ( c2_1(a603)
    | c3_1(a603)
    | c1_1(a603)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_16183,plain,
    ( c1_1(a603)
    | ~ iPr_def_20
    | ~ c0_1(a603)
    | ~ c2_1(a603) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_16230,plain,
    ( c0_1(a653)
    | ~ iPr_def_39
    | ~ c3_1(a653)
    | ~ c1_1(a653) ),
    inference(instantiation,[status(thm)],[c_15915]) ).

tcf(c_16236,plain,
    ( c0_1(a617)
    | c1_1(a617)
    | ~ iPr_def_27
    | ~ c3_1(a617) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_16242,plain,
    ( c0_1(a625)
    | c1_1(a625)
    | ~ iPr_def_27
    | ~ c3_1(a625) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_16244,plain,
    ( c0_1(a609)
    | c1_1(a609)
    | ~ iPr_def_27
    | ~ c3_1(a609) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_16253,plain,
    ( ~ iPr_def_15
    | ~ c0_1(a626)
    | ~ c2_1(a626)
    | ~ c3_1(a626) ),
    inference(instantiation,[status(thm)],[c_15869]) ).

tcf(c_16277,plain,
    ( c1_1(a671)
    | ~ iPr_def_26
    | ~ c0_1(a671)
    | ~ c3_1(a671) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

tcf(c_16278,plain,
    ( c1_1(a617)
    | ~ iPr_def_26
    | ~ c0_1(a617)
    | ~ c3_1(a617) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

tcf(c_16287,plain,
    ( c1_1(a617)
    | ~ iPr_def_23
    | ~ c2_1(a617)
    | ~ c3_1(a617) ),
    inference(instantiation,[status(thm)],[c_15881]) ).

tcf(c_16312,plain,
    ( c2_1(a647)
    | c3_1(a647)
    | c1_1(a647)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_16329,plain,
    ( c0_1(a666)
    | c2_1(a666)
    | c3_1(a666)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_15884]) ).

tcf(c_16366,plain,
    ( c2_1(a625)
    | c1_1(a625)
    | ~ iPr_def_22
    | ~ c3_1(a625) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16384,plain,
    ( c2_1(a669)
    | ~ iPr_def_10
    | ~ c0_1(a669)
    | ~ c3_1(a669) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16385,plain,
    ( c2_1(a647)
    | ~ iPr_def_10
    | ~ c0_1(a647)
    | ~ c3_1(a647) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16390,plain,
    ( c2_1(a607)
    | ~ iPr_def_10
    | ~ c0_1(a607)
    | ~ c3_1(a607) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_16416,plain,
    ( ~ iPr_def_31
    | ~ c0_1(a608)
    | ~ c3_1(a608)
    | ~ c1_1(a608) ),
    inference(instantiation,[status(thm)],[c_15894]) ).

tcf(c_16477,plain,
    ( c0_1(a625)
    | c2_1(a625)
    | c1_1(a625)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15890]) ).

tcf(c_16562,plain,
    ( c1_1(a671)
    | ~ iPr_def_20
    | ~ c0_1(a671)
    | ~ c2_1(a671) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_16584,plain,
    ( c0_1(a624)
    | c2_1(a624)
    | c1_1(a624)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15890]) ).

tcf(c_16585,plain,
    ( c2_1(a624)
    | c1_1(a624)
    | ~ iPr_def_22
    | ~ c3_1(a624) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16587,plain,
    ( c1_1(a624)
    | ~ iPr_def_26
    | ~ c0_1(a624)
    | ~ c3_1(a624) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

tcf(c_16588,plain,
    ( c0_1(a624)
    | c1_1(a624)
    | ~ iPr_def_27
    | ~ c3_1(a624) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_16590,plain,
    ( c2_1(a624)
    | c1_1(a624)
    | ~ iPr_def_21
    | ~ c0_1(a624) ),
    inference(instantiation,[status(thm)],[c_15877]) ).

tcf(c_16616,plain,
    ( ~ iPr_def_15
    | ~ c0_1(a608)
    | ~ c2_1(a608)
    | ~ c3_1(a608) ),
    inference(instantiation,[status(thm)],[c_15869]) ).

tcf(c_16685,plain,
    ( c0_1(a625)
    | c2_1(a625)
    | c3_1(a625)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_15884]) ).

tcf(c_16744,plain,
    ( c2_1(a666)
    | c3_1(a666)
    | ~ iPr_def_36
    | ~ c1_1(a666) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

tcf(c_16767,plain,
    ( c2_1(a669)
    | ~ iPr_def_32
    | ~ c0_1(a669)
    | ~ c1_1(a669) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_16772,plain,
    ( c2_1(a607)
    | ~ iPr_def_32
    | ~ c0_1(a607)
    | ~ c1_1(a607) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_16775,plain,
    ( c2_1(a666)
    | ~ iPr_def_32
    | ~ c0_1(a666)
    | ~ c1_1(a666) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_16797,plain,
    ( c0_1(a660)
    | c2_1(a660)
    | c3_1(a660)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_15884]) ).

tcf(c_16798,plain,
    ( c2_1(a605)
    | ~ iPr_def_32
    | ~ c0_1(a605)
    | ~ c1_1(a605) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_16817,plain,
    ( c2_1(a669)
    | c3_1(a669)
    | ~ iPr_def_38
    | ~ c0_1(a669) ),
    inference(instantiation,[status(thm)],[c_15910]) ).

tcf(c_16826,plain,
    ( c2_1(a666)
    | c3_1(a666)
    | ~ iPr_def_38
    | ~ c0_1(a666) ),
    inference(instantiation,[status(thm)],[c_15910]) ).

tcf(c_16954,plain,
    ( c2_1(a607)
    | c3_1(a607)
    | ~ iPr_def_36
    | ~ c1_1(a607) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

tcf(c_17233,plain,
    ( c2_1(a666)
    | c3_1(a666)
    | c1_1(a666)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_17234,plain,
    ( c2_1(a666)
    | c1_1(a666)
    | ~ iPr_def_21
    | ~ c0_1(a666) ),
    inference(instantiation,[status(thm)],[c_15877]) ).

tcf(c_17301,plain,
    ( c0_1(a646)
    | c1_1(a646)
    | ~ iPr_def_27
    | ~ c3_1(a646) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_17313,plain,
    ( c1_1(a623)
    | ~ iPr_def_23
    | ~ c2_1(a623)
    | ~ c3_1(a623) ),
    inference(instantiation,[status(thm)],[c_15881]) ).

tcf(c_17315,plain,
    ( c0_1(a623)
    | c1_1(a623)
    | ~ iPr_def_27
    | ~ c3_1(a623) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_17378,plain,
    ( c2_1(a669)
    | c3_1(a669)
    | c1_1(a669)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_17384,plain,
    ( c0_1(a670)
    | c1_1(a670)
    | ~ iPr_def_27
    | ~ c3_1(a670) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_17391,plain,
    ( c0_1(a670)
    | c3_1(a670)
    | ~ iPr_def_14
    | ~ c2_1(a670) ),
    inference(instantiation,[status(thm)],[c_15867]) ).

tcf(c_17429,plain,
    ( c0_1(a660)
    | c3_1(a660)
    | ~ iPr_def_14
    | ~ c2_1(a660) ),
    inference(instantiation,[status(thm)],[c_15867]) ).

tcf(c_17450,plain,
    ( c0_1(a651)
    | ~ iPr_def_12
    | ~ c2_1(a651)
    | ~ c1_1(a651) ),
    inference(instantiation,[status(thm)],[c_15864]) ).

tcf(c_17452,plain,
    ( c0_1(a651)
    | ~ iPr_def_18
    | ~ c2_1(a651)
    | ~ c3_1(a651) ),
    inference(instantiation,[status(thm)],[c_15873]) ).

tcf(c_17688,plain,
    ( c0_1(a623)
    | ~ iPr_def_12
    | ~ c2_1(a623)
    | ~ c1_1(a623) ),
    inference(instantiation,[status(thm)],[c_15864]) ).

tcf(c_17808,plain,
    ( c0_1(a665)
    | ~ iPr_def_18
    | ~ c2_1(a665)
    | ~ c3_1(a665) ),
    inference(instantiation,[status(thm)],[c_15873]) ).

tcf(c_17862,plain,
    ( c2_1(a675)
    | ~ iPr_def_33
    | ~ c3_1(a675)
    | ~ c1_1(a675) ),
    inference(instantiation,[status(thm)],[c_15897]) ).

tcf(c_17901,plain,
    ( c1_1(a658)
    | ~ iPr_def_23
    | ~ c2_1(a658)
    | ~ c3_1(a658) ),
    inference(instantiation,[status(thm)],[c_15881]) ).

tcf(c_17902,plain,
    ( c1_1(a658)
    | ~ iPr_def_26
    | ~ c0_1(a658)
    | ~ c3_1(a658) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

tcf(c_17916,plain,
    ( c0_1(a658)
    | ~ iPr_def_18
    | ~ c2_1(a658)
    | ~ c3_1(a658) ),
    inference(instantiation,[status(thm)],[c_15873]) ).

tcf(c_17929,plain,
    ( c3_1(a613)
    | ~ iPr_def_16
    | ~ c0_1(a613)
    | ~ c2_1(a613) ),
    inference(instantiation,[status(thm)],[c_15870]) ).

tcf(c_17953,plain,
    ( c0_1(a602)
    | c3_1(a602)
    | ~ iPr_def_14
    | ~ c2_1(a602) ),
    inference(instantiation,[status(thm)],[c_15867]) ).

tcf(c_17955,plain,
    ( c1_1(a602)
    | ~ iPr_def_20
    | ~ c0_1(a602)
    | ~ c2_1(a602) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_17971,plain,
    ( c0_1(a663)
    | c1_1(a663)
    | ~ iPr_def_27
    | ~ c3_1(a663) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_17982,plain,
    ( c3_1(a627)
    | ~ iPr_def_19
    | ~ c2_1(a627)
    | ~ c1_1(a627) ),
    inference(instantiation,[status(thm)],[c_15874]) ).

tcf(c_17993,plain,
    ( c3_1(a605)
    | ~ iPr_def_19
    | ~ c2_1(a605)
    | ~ c1_1(a605) ),
    inference(instantiation,[status(thm)],[c_15874]) ).

tcf(c_18043,plain,
    ( c1_1(a675)
    | ~ iPr_def_26
    | ~ c0_1(a675)
    | ~ c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

tcf(c_18057,plain,
    ( c1_1(a628)
    | ~ iPr_def_26
    | ~ c0_1(a628)
    | ~ c3_1(a628) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

tcf(c_18058,plain,
    ( c2_1(a628)
    | c1_1(a628)
    | ~ iPr_def_22
    | ~ c3_1(a628) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_18062,plain,
    ( c2_1(a672)
    | c1_1(a672)
    | ~ iPr_def_22
    | ~ c3_1(a672) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_18064,plain,
    ( c2_1(a672)
    | ~ iPr_def_33
    | ~ c3_1(a672)
    | ~ c1_1(a672) ),
    inference(instantiation,[status(thm)],[c_15897]) ).

tcf(c_18065,plain,
    ( c0_1(a672)
    | c2_1(a672)
    | c1_1(a672)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15890]) ).

tcf(c_18073,plain,
    ( c0_1(a660)
    | c3_1(a660)
    | c1_1(a660)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15888]) ).

tcf(c_18206,plain,
    ( c0_1(a672)
    | c2_1(a672)
    | ~ iPr_def_37
    | ~ c3_1(a672) ),
    inference(instantiation,[status(thm)],[c_15908]) ).

tcf(c_18216,plain,
    ( c0_1(a628)
    | c2_1(a628)
    | ~ iPr_def_37
    | ~ c3_1(a628) ),
    inference(instantiation,[status(thm)],[c_15908]) ).

tcf(c_18265,plain,
    ( c0_1(a673)
    | ~ iPr_def_18
    | ~ c2_1(a673)
    | ~ c3_1(a673) ),
    inference(instantiation,[status(thm)],[c_15873]) ).

tcf(c_18418,plain,
    ( c0_1(a618)
    | c2_1(a618)
    | c3_1(a618)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_15884]) ).

tcf(c_18480,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ iPr_def_27
    | ~ c3_1(a651) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_18541,plain,
    ( c2_1(a618)
    | c3_1(a618)
    | ~ iPr_def_36
    | ~ c1_1(a618) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

tcf(c_18783,plain,
    ( c0_1(a606)
    | ~ iPr_def_12
    | ~ c2_1(a606)
    | ~ c1_1(a606) ),
    inference(instantiation,[status(thm)],[c_15864]) ).

tcf(c_19332,plain,
    ( c2_1(a618)
    | ~ iPr_def_32
    | ~ c0_1(a618)
    | ~ c1_1(a618) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_19412,plain,
    ( c2_1(a608)
    | ~ iPr_def_32
    | ~ c0_1(a608)
    | ~ c1_1(a608) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_19930,negated_conjecture,
    ( iPr_def_15
    | hskp37 ),
    inference(global_subsumption_just,[status(thm)],[c_15923,c_541,c_494,c_490,c_489,c_474,c_473,c_642,c_641,c_578,c_577,c_573,c_562,c_15914,c_15889,c_15906,c_15920,c_15923,c_15938,c_16042,c_16075,c_17313,c_17452,c_17450,c_17688,c_18480,c_18541,c_18783]) ).

tcf(c_19953,plain,
    ( c1_1(a674)
    | ~ iPr_def_20
    | ~ c0_1(a674)
    | ~ c2_1(a674) ),
    inference(instantiation,[status(thm)],[c_15876]) ).

tcf(c_21252,plain,
    ( hskp6
    | ~ hskp53
    | ~ c0_1(a648)
    | ~ c1_1(a648) ),
    inference(superposition,[status(thm)],[c_475,c_921]) ).

tcf(c_21259,plain,
    ( hskp6
    | ~ hskp38
    | ~ c0_1(a608)
    | ~ c1_1(a608) ),
    inference(superposition,[status(thm)],[c_503,c_921]) ).

tcf(c_21476,plain,
    ( c0_1(a675)
    | ~ iPr_def_39
    | ~ c3_1(a675)
    | ~ c1_1(a675) ),
    inference(instantiation,[status(thm)],[c_15915]) ).

tcf(c_21477,plain,
    ( c0_1(a672)
    | ~ iPr_def_39
    | ~ c3_1(a672)
    | ~ c1_1(a672) ),
    inference(instantiation,[status(thm)],[c_15915]) ).

tcf(c_21504,plain,
    ( c3_1(a609)
    | c1_1(a609)
    | ~ iPr_def_30
    | ~ c2_1(a609) ),
    inference(instantiation,[status(thm)],[c_15891]) ).

tcf(c_21520,plain,
    ( c2_1(a675)
    | ~ iPr_def_10
    | ~ c0_1(a675)
    | ~ c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_21530,plain,
    ( c2_1(a628)
    | ~ iPr_def_10
    | ~ c0_1(a628)
    | ~ c3_1(a628) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_21531,plain,
    ( c2_1(a624)
    | ~ iPr_def_10
    | ~ c0_1(a624)
    | ~ c3_1(a624) ),
    inference(instantiation,[status(thm)],[c_15862]) ).

tcf(c_21779,plain,
    ( c0_1(a628)
    | c2_1(a628)
    | c1_1(a628)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15890]) ).

tcf(c_21809,plain,
    ( c2_1(a653)
    | ~ iPr_def_32
    | ~ c0_1(a653)
    | ~ c1_1(a653) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_22497,plain,
    ( c2_1(a675)
    | ~ iPr_def_32
    | ~ c0_1(a675)
    | ~ c1_1(a675) ),
    inference(instantiation,[status(thm)],[c_15896]) ).

tcf(c_22614,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_22497,c_21809,c_21779,c_21531,c_21530,c_21520,c_21504,c_21477,c_21476,c_21252,c_21259,c_19953,c_19930,c_19412,c_19332,c_18541,c_18480,c_18418,c_18265,c_18216,c_18206,c_18073,c_18065,c_18062,c_18064,c_18057,c_18058,c_18043,c_17993,c_17982,c_17971,c_17953,c_17955,c_17929,c_17916,c_17901,c_17902,c_17862,c_17808,c_17688,c_17450,c_17429,c_17391,c_17384,c_17378,c_17315,c_17301,c_17233,c_17234,c_16954,c_16826,c_16817,c_16798,c_16797,c_16775,c_16772,c_16767,c_16744,c_16685,c_16616,c_16584,c_16585,c_16587,c_16588,c_16590,c_16562,c_16477,c_16416,c_16390,c_16385,c_16384,c_16366,c_16329,c_16312,c_16287,c_16278,c_16277,c_16253,c_16244,c_16242,c_16236,c_16230,c_16183,c_16157,c_16153,c_16136,c_16130,c_16120,c_16110,c_16098,c_16092,c_16089,c_16081,c_16082,c_16075,c_16074,c_16061,c_16057,c_16056,c_16055,c_16053,c_16043,c_16010,c_16007,c_16004,c_15993,c_15965,c_15958,c_15951,c_15949,c_15943,c_15940,c_15938,c_15937,c_15936,c_15931,c_15929,c_15927,c_15920,c_15919,c_15917,c_15916,c_15913,c_15912,c_15911,c_15909,c_15907,c_15906,c_15899,c_15898,c_15893,c_15892,c_15889,c_15886,c_15880,c_15875,c_15922,c_15921,c_15914,c_8090,c_8080,c_6795,c_6788,c_6781,c_6774,c_6767,c_6760,c_6753,c_6746,c_6739,c_6093,c_6083,c_6073,c_6063,c_6053,c_6043,c_6033,c_6023,c_6013,c_5976,c_5966,c_5956,c_5946,c_5936,c_5926,c_5916,c_5906,c_5896,c_2927,c_2910,c_2893,c_2861,c_2844,c_2827,c_729,c_705,c_548,c_550,c_551,c_552,c_557,c_558,c_560,c_561,c_562,c_563,c_564,c_565,c_573,c_577,c_578,c_579,c_581,c_582,c_583,c_584,c_586,c_593,c_594,c_595,c_603,c_604,c_611,c_612,c_613,c_618,c_619,c_620,c_621,c_622,c_623,c_624,c_625,c_639,c_640,c_641,c_642,c_646,c_647,c_650,c_651,c_652,c_454,c_455,c_458,c_459,c_460,c_466,c_469,c_470,c_471,c_472,c_473,c_474,c_475,c_476,c_477,c_487,c_488,c_489,c_490,c_494,c_495,c_496,c_502,c_503,c_504,c_505,c_506,c_507,c_508,c_509,c_512,c_513,c_519,c_528,c_529,c_530,c_531,c_540,c_541,c_542,c_544,c_545,c_546]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN440-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n015.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 01:14:57 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running EPR theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 4.88/1.23  % SZS status Started for theBenchmark.p
% 4.88/1.23  % SZS status Unsatisfiable for theBenchmark.p
% 4.88/1.23  
% 4.88/1.23  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.88/1.23  
% 4.88/1.23  % ------  iProver source info
% 4.88/1.23  
% 4.88/1.23  % git: date: 2026-07-19 20:42:38 +0200
% 4.88/1.23  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.88/1.23  % git: non_committed_changes: false
% 4.88/1.23  
% 4.88/1.23  % ------ Parsing...% successful
% 4.88/1.23  
% 4.88/1.23  
% 4.88/1.23  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.88/1.23  % 
% 4.88/1.23  
% 4.88/1.23  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.88/1.23  
% 4.88/1.23  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.88/1.23   gs_s  sp: 91 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.88/1.23  % ------ Proving...
% 4.88/1.23  % ------ Problem Properties 
% 4.88/1.23  
% 4.88/1.23  % 
% 4.88/1.23  % clauses                               285
% 4.88/1.23  % conjectures                           257
% 4.88/1.23  % EPR                                   285
% 4.88/1.23  % Horn                                  197
% 4.88/1.23  % unary                                 0
% 4.88/1.23  % binary                                187
% 4.88/1.23  % lits                                  698
% 4.88/1.23  % lits eq                               0
% 4.88/1.23  % fd_pure                               0
% 4.88/1.23  % fd_pseudo                             0
% 4.88/1.23  % fd_cond                               0
% 4.88/1.23  % fd_pseudo_cond                        0
% 4.88/1.23  % AC symbols                            0
% 4.88/1.23  
% 4.88/1.23  % ------ Schedule EPR non Horn non eq is on
% 4.88/1.23  
% 4.88/1.23  % ------ no equalities: superposition off 
% 4.88/1.23  
% 4.88/1.23  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.88/1.23  
% 4.88/1.23  
% 4.88/1.23  % ------ 
% 4.88/1.23  % Current options:
% 4.88/1.23  % ------ 
% 4.88/1.23  
% 4.88/1.23  
% 4.88/1.23  % 
% 4.88/1.23  
% 4.88/1.23  % ------ Proving...
% 4.88/1.23  % 
% 4.88/1.23  
% 4.88/1.23  % SZS status Unsatisfiable for theBenchmark.p
% 4.88/1.23  
% 4.88/1.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.88/1.25  
% 4.88/1.25  
%------------------------------------------------------------------------------