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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN450-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n011.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 03:40:16 PM UTC 2026

% Result   : Unsatisfiable 4.56s 1.17s
% Output   : CNFRefutation 4.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  110
% Syntax   : Number of formulae    :  428 (   2 unt;   0 def)
%            Number of atoms       : 1784 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2252 ( 896   ~;1356   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   57 (  56 usr;  53 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  273 (   0 sgn 273   !;   0   ?; 210   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f10,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f30,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f31,negated_conjecture,
    ( hskp7
    | hskp1
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f35,negated_conjecture,
    ( hskp0
    | hskp24
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f40,negated_conjecture,
    ( c0_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( c1_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c2_1(a671)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c0_1(a655)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c2_1(a655)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c3_1(a655)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c0_1(a640)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c1_1(a640)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c3_1(a640)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c1_1(a698)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c2_1(a695)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f53,negated_conjecture,
    ( c1_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c2_1(a686)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( c0_1(a676)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c1_1(a676)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c2_1(a675)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f61,negated_conjecture,
    ( c2_1(a665)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c0_1(a661)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c0_1(a660)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c0_1(a657)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c2_1(a657)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c0_1(a656)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c2_1(a656)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c0_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c3_1(a652)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c3_1(a651)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c1_1(a647)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c1_1(a645)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c3_1(a645)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c1_1(a643)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c2_1(a643)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a642)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c3_1(a642)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c2_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c3_1(a641)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f84,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a698) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a698) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a695) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f89,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a691) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a691) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a691) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a686) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f95,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f102,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a665) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a665) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a661) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a657) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a656) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f113,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a652) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a648) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a647) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a646) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a642) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp26
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp2
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp18
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp17
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp21
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp24
      | hskp2
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f155,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

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

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

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

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

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

fof(f177,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

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

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

tcf(c_234,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_238,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_258,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_259,negated_conjecture,
    ( hskp1
    | hskp7
    | hskp18 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_260,negated_conjecture,
    ( hskp2
    | hskp18
    | hskp20 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_261,negated_conjecture,
    ( hskp1
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_263,negated_conjecture,
    ( hskp0
    | hskp20
    | hskp24 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_264,negated_conjecture,
    ( hskp14
    | hskp17
    | hskp24 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_268,negated_conjecture,
    ( c0_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_269,negated_conjecture,
    ( c1_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_270,negated_conjecture,
    ( c2_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_271,negated_conjecture,
    ( c0_1(a655)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_272,negated_conjecture,
    ( c2_1(a655)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_273,negated_conjecture,
    ( c3_1(a655)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_274,negated_conjecture,
    ( c0_1(a640)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_275,negated_conjecture,
    ( c1_1(a640)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_276,negated_conjecture,
    ( c3_1(a640)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_277,negated_conjecture,
    ( c1_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_278,negated_conjecture,
    ( c2_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_281,negated_conjecture,
    ( c1_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_282,negated_conjecture,
    ( c2_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_284,negated_conjecture,
    ( c0_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_285,negated_conjecture,
    ( c1_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_286,negated_conjecture,
    ( c2_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_289,negated_conjecture,
    ( c2_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_290,negated_conjecture,
    ( c0_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_291,negated_conjecture,
    ( c0_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_292,negated_conjecture,
    ( c0_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_293,negated_conjecture,
    ( c2_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_294,negated_conjecture,
    ( c0_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_295,negated_conjecture,
    ( c2_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_296,negated_conjecture,
    ( c0_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_297,negated_conjecture,
    ( c3_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_298,negated_conjecture,
    ( c3_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_299,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_300,negated_conjecture,
    ( c1_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_301,negated_conjecture,
    ( c1_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_302,negated_conjecture,
    ( c3_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_303,negated_conjecture,
    ( c1_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_304,negated_conjecture,
    ( c2_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_305,negated_conjecture,
    ( c0_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_306,negated_conjecture,
    ( c3_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_307,negated_conjecture,
    ( c2_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_308,negated_conjecture,
    ( c3_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_312,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a698) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_313,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a698) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_314,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_315,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a695) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_317,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a691) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_318,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a691) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_319,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a691) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_320,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a686) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_323,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_324,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_325,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_330,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a665) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_331,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a665) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_332,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a661) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_335,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a657) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a656) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a652) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a651) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a648) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a647) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a647) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a646) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a646) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a646) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a642) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_355,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp26
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp2
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp6
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp6
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp18
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp17
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp21
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_373,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp23
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_382,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_439,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_258,c_263,c_258,c_238,c_234]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp2
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_356,c_263,c_258,c_238,c_234,c_356]) ).

tcf(c_505,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp26
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_355,c_263,c_258,c_238,c_234,c_355]) ).

tcf(c_520,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp6
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_360,c_263,c_258,c_238,c_234,c_360]) ).

tcf(c_523,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_359,c_263,c_258,c_238,c_234,c_359]) ).

tcf(c_526,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp6
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_358,c_263,c_258,c_238,c_234,c_358]) ).

tcf(c_544,plain,
    ! [X0: $i] :
      ( hskp2
      | hskp24
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_374,c_263,c_258,c_238,c_234,c_374]) ).

tcf(c_545,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp24
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_544]) ).

tcf(c_547,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp23
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_373,c_263,c_258,c_238,c_234,c_373]) ).

tcf(c_548,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp23
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_547]) ).

tcf(c_553,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp21
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_371,c_263,c_258,c_238,c_234,c_371]) ).

tcf(c_554,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp21
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_553]) ).

tcf(c_559,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp17
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_369,c_263,c_258,c_238,c_234,c_369]) ).

tcf(c_560,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp17
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_559]) ).

tcf(c_562,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp18
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_368,c_263,c_258,c_238,c_234,c_368]) ).

tcf(c_563,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp18
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_562]) ).

tcf(c_565,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp28
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_367,c_263,c_258,c_238,c_234,c_367]) ).

tcf(c_566,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp28
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_565]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_382,c_263,c_258,c_238,c_234,c_382]) ).

tcf(c_581,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_388,c_263,c_258,c_238,c_234,c_388]) ).

tcf(c_582,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_581]) ).

tcf(c_586,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_263,c_258,c_238,c_234,c_386]) ).

tcf(c_587,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_586]) ).

tcf(c_589,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_385,c_439]) ).

tcf(c_590,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_589]) ).

tcf(c_591,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_263,c_258,c_238,c_234,c_384]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_591]) ).

tcf(c_594,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_383,c_263,c_258,c_238,c_234,c_383]) ).

tcf(c_595,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_594]) ).

tcf(c_596,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_263,c_258,c_238,c_234,c_394]) ).

tcf(c_597,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_596]) ).

tcf(c_598,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_263,c_258,c_238,c_234,c_393]) ).

tcf(c_599,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_598]) ).

tcf(c_600,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_263,c_258,c_238,c_234,c_392]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_600]) ).

tcf(c_604,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_263,c_258,c_238,c_234,c_390]) ).

tcf(c_605,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_604]) ).

tcf(c_606,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_263,c_258,c_238,c_234,c_389]) ).

tcf(c_607,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_606]) ).

tcf(c_608,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_263,c_258,c_238,c_234,c_399]) ).

tcf(c_609,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_608]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_263,c_258,c_238,c_234,c_395]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_263,c_258,c_238,c_234,c_400]) ).

tcf(c_619,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

tcf(c_620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_263,c_258,c_238,c_234,c_402]) ).

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

tcf(c_622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_263,c_258,c_238,c_234,c_401]) ).

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

tcf(c_624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_263,c_258,c_238,c_234,c_403]) ).

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

tcf(c_626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_263,c_258,c_238,c_234,c_406]) ).

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

tcf(c_628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_263,c_258,c_238,c_234,c_405]) ).

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

tcf(c_631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_263,c_258,c_238,c_234,c_404]) ).

tcf(c_632,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_631]) ).

tcf(c_633,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_263,c_258,c_238,c_234,c_408]) ).

tcf(c_634,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_633]) ).

tcf(c_635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_263,c_258,c_238,c_234,c_407]) ).

tcf(c_636,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_635]) ).

tcf(c_2466,plain,
    ( hskp14
    | hskp17
    | ~ c2_1(a698) ),
    inference(resolution,[status(thm)],[c_264,c_313]) ).

tcf(c_2476,plain,
    ( hskp14
    | hskp17
    | ~ c0_1(a698) ),
    inference(resolution,[status(thm)],[c_264,c_312]) ).

tcf(c_2486,plain,
    ( hskp14
    | hskp17
    | c1_1(a698) ),
    inference(resolution,[status(thm)],[c_264,c_277]) ).

tcf(c_2754,plain,
    ( hskp17
    | hskp24
    | ~ c1_1(a665) ),
    inference(resolution,[status(thm)],[c_264,c_331]) ).

tcf(c_2764,plain,
    ( hskp17
    | hskp24
    | ~ c0_1(a665) ),
    inference(resolution,[status(thm)],[c_264,c_330]) ).

tcf(c_2774,plain,
    ( hskp17
    | hskp24
    | c2_1(a665) ),
    inference(resolution,[status(thm)],[c_264,c_289]) ).

tcf(c_2784,plain,
    ( hskp1
    | hskp17
    | ~ c1_1(a665) ),
    inference(resolution,[status(thm)],[c_261,c_331]) ).

tcf(c_2804,plain,
    ( hskp1
    | hskp17
    | c2_1(a665) ),
    inference(resolution,[status(thm)],[c_261,c_289]) ).

tcf(c_4473,plain,
    ( hskp14
    | hskp17
    | ~ c1_1(a642) ),
    inference(resolution,[status(thm)],[c_261,c_353]) ).

tcf(c_4483,plain,
    ( hskp14
    | hskp17
    | c3_1(a642) ),
    inference(resolution,[status(thm)],[c_261,c_306]) ).

tcf(c_4493,plain,
    ( hskp14
    | hskp17
    | c0_1(a642) ),
    inference(resolution,[status(thm)],[c_261,c_305]) ).

tcf(c_4503,plain,
    ( hskp7
    | hskp18
    | ~ c1_1(a642) ),
    inference(resolution,[status(thm)],[c_259,c_353]) ).

tcf(c_4513,plain,
    ( hskp7
    | hskp18
    | c3_1(a642) ),
    inference(resolution,[status(thm)],[c_259,c_306]) ).

tcf(c_4523,plain,
    ( hskp7
    | hskp18
    | c0_1(a642) ),
    inference(resolution,[status(thm)],[c_259,c_305]) ).

tcf(c_5250,plain,
    ( hskp2
    | hskp18
    | ~ c3_1(a686) ),
    inference(resolution,[status(thm)],[c_260,c_320]) ).

tcf(c_5260,plain,
    ( hskp2
    | hskp18
    | c2_1(a686) ),
    inference(resolution,[status(thm)],[c_260,c_282]) ).

tcf(c_5270,plain,
    ( hskp2
    | hskp18
    | c1_1(a686) ),
    inference(resolution,[status(thm)],[c_260,c_281]) ).

tcf(c_7405,plain,
    ( hskp1
    | hskp18
    | ~ c0_1(a651) ),
    inference(resolution,[status(thm)],[c_259,c_342]) ).

tcf(c_7415,plain,
    ( hskp1
    | hskp18
    | c3_1(a651) ),
    inference(resolution,[status(thm)],[c_259,c_298]) ).

tcf(c_14221,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_636]) ).

tcf(c_14222,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_636]) ).

tcf(c_14223,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_636]) ).

tcf(c_14224,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_636]) ).

tcf(c_14225,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_634]) ).

tcf(c_14226,negated_conjecture,
    ( iPr_def_13
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_634]) ).

tcf(c_14227,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_632]) ).

tcf(c_14228,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_632]) ).

tcf(c_14229,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_632]) ).

tcf(c_14230,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).

tcf(c_14231,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_629]) ).

tcf(c_14232,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_629]) ).

tcf(c_14233,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_14234,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_627]) ).

tcf(c_14235,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).

tcf(c_14236,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_625]) ).

tcf(c_14237,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_625]) ).

tcf(c_14238,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_625]) ).

tcf(c_14239,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_623]) ).

tcf(c_14240,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_623]) ).

tcf(c_14241,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).

tcf(c_14242,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_621]) ).

tcf(c_14243,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_621]) ).

tcf(c_14244,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_621]) ).

tcf(c_14245,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_621]) ).

tcf(c_14246,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_619]) ).

tcf(c_14248,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_617]) ).

tcf(c_14249,negated_conjecture,
    ( iPr_def_28
    | iPr_def_12
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_14254,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_609]) ).

tcf(c_14255,negated_conjecture,
    ( iPr_def_30
    | iPr_def_13
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).

tcf(c_14256,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_607]) ).

tcf(c_14258,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_605]) ).

tcf(c_14259,negated_conjecture,
    ( iPr_def_32
    | iPr_def_16
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).

tcf(c_14261,negated_conjecture,
    ( iPr_def_21
    | iPr_def_10
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).

tcf(c_14262,negated_conjecture,
    ( iPr_def_27
    | iPr_def_21
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).

tcf(c_14263,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_597]) ).

tcf(c_14265,negated_conjecture,
    ( iPr_def_33
    | iPr_def_23
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).

tcf(c_14266,negated_conjecture,
    ( iPr_def_22
    | iPr_def_19
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).

tcf(c_14267,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_590]) ).

tcf(c_14268,negated_conjecture,
    ( iPr_def_34
    | iPr_def_28
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_590]) ).

tcf(c_14269,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_587]) ).

tcf(c_14270,negated_conjecture,
    ( iPr_def_35
    | iPr_def_32
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).

tcf(c_14272,negated_conjecture,
    ( iPr_def_30
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_582]) ).

tcf(c_14274,negated_conjecture,
    ( iPr_def_35
    | iPr_def_24
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).

tcf(c_14278,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_566]) ).

tcf(c_14279,negated_conjecture,
    ( iPr_def_36
    | hskp17
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).

tcf(c_14280,negated_conjecture,
    ( iPr_def_36
    | hskp4
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).

tcf(c_14281,negated_conjecture,
    ( iPr_def_10
    | hskp7
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_560]) ).

tcf(c_14283,negated_conjecture,
    ( iPr_def_31
    | hskp11
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_554]) ).

tcf(c_14285,negated_conjecture,
    ( iPr_def_31
    | hskp5
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).

tcf(c_14286,negated_conjecture,
    ( iPr_def_27
    | hskp2
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_545]) ).

tcf(c_14293,negated_conjecture,
    ( iPr_def_22
    | hskp2
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).

tcf(c_14294,negated_conjecture,
    ( iPr_def_21
    | hskp12
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

tcf(c_14295,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_520]) ).

tcf(c_14296,negated_conjecture,
    ( iPr_def_38
    | hskp3
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_520]) ).

tcf(c_14301,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_505]) ).

tcf(c_14302,negated_conjecture,
    ( iPr_def_39
    | hskp0
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

tcf(c_14303,negated_conjecture,
    ( iPr_def_23
    | hskp0
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_14334,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a640)
    | ~ c3_1(a640)
    | ~ c1_1(a640) ),
    inference(instantiation,[status(thm)],[c_14244]) ).

tcf(c_14335,plain,
    ( c0_1(a686)
    | ~ iPr_def_11
    | ~ c2_1(a686)
    | ~ c1_1(a686) ),
    inference(instantiation,[status(thm)],[c_14222]) ).

tcf(c_14337,plain,
    ( c0_1(a647)
    | ~ iPr_def_11
    | ~ c2_1(a647)
    | ~ c1_1(a647) ),
    inference(instantiation,[status(thm)],[c_14222]) ).

tcf(c_14339,plain,
    ( c0_1(a643)
    | ~ iPr_def_11
    | ~ c2_1(a643)
    | ~ c1_1(a643) ),
    inference(instantiation,[status(thm)],[c_14222]) ).

tcf(c_14347,plain,
    ( c3_1(a657)
    | ~ iPr_def_18
    | ~ c0_1(a657)
    | ~ c2_1(a657) ),
    inference(instantiation,[status(thm)],[c_14232]) ).

tcf(c_14357,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | c1_1(a648)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_14242]) ).

tcf(c_14359,plain,
    ( c3_1(a646)
    | c2_1(a646)
    | c1_1(a646)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_14242]) ).

tcf(c_14360,plain,
    ( c3_1(a686)
    | ~ iPr_def_18
    | ~ c0_1(a686)
    | ~ c2_1(a686) ),
    inference(instantiation,[status(thm)],[c_14232]) ).

tcf(c_14365,plain,
    ( c1_1(a665)
    | ~ iPr_def_10
    | ~ c3_1(a665)
    | ~ c2_1(a665) ),
    inference(instantiation,[status(thm)],[c_14221]) ).

tcf(c_14367,plain,
    ( c1_1(a656)
    | ~ iPr_def_10
    | ~ c3_1(a656)
    | ~ c2_1(a656) ),
    inference(instantiation,[status(thm)],[c_14221]) ).

tcf(c_14369,plain,
    ( c1_1(a641)
    | ~ iPr_def_10
    | ~ c3_1(a641)
    | ~ c2_1(a641) ),
    inference(instantiation,[status(thm)],[c_14221]) ).

tcf(c_14370,plain,
    ( c0_1(a686)
    | c3_1(a686)
    | ~ iPr_def_21
    | ~ c1_1(a686) ),
    inference(instantiation,[status(thm)],[c_14237]) ).

tcf(c_14372,plain,
    ( c0_1(a647)
    | c3_1(a647)
    | ~ iPr_def_21
    | ~ c1_1(a647) ),
    inference(instantiation,[status(thm)],[c_14237]) ).

tcf(c_14374,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ iPr_def_21
    | ~ c1_1(a643) ),
    inference(instantiation,[status(thm)],[c_14237]) ).

tcf(c_14378,plain,
    ( c3_1(a656)
    | c1_1(a656)
    | ~ iPr_def_14
    | ~ c0_1(a656) ),
    inference(instantiation,[status(thm)],[c_14227]) ).

tcf(c_14380,plain,
    ( c3_1(a648)
    | c1_1(a648)
    | ~ iPr_def_14
    | ~ c0_1(a648) ),
    inference(instantiation,[status(thm)],[c_14227]) ).

tcf(c_14387,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | ~ iPr_def_30
    | ~ c0_1(a648) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

tcf(c_14399,plain,
    ( c3_1(a676)
    | c2_1(a676)
    | ~ iPr_def_30
    | ~ c0_1(a676) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

tcf(c_14403,plain,
    ( c2_1(a676)
    | ~ iPr_def_16
    | ~ c0_1(a676)
    | ~ c1_1(a676) ),
    inference(instantiation,[status(thm)],[c_14229]) ).

tcf(c_14411,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a655)
    | ~ c2_1(a655)
    | ~ c1_1(a655) ),
    inference(instantiation,[status(thm)],[c_14223]) ).

tcf(c_14422,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a643)
    | ~ c2_1(a643)
    | ~ c1_1(a643) ),
    inference(instantiation,[status(thm)],[c_14225]) ).

tcf(c_14423,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a671)
    | ~ c2_1(a671)
    | ~ c1_1(a671) ),
    inference(instantiation,[status(thm)],[c_14223]) ).

tcf(c_14426,plain,
    ( c3_1(a671)
    | ~ iPr_def_18
    | ~ c0_1(a671)
    | ~ c2_1(a671) ),
    inference(instantiation,[status(thm)],[c_14232]) ).

tcf(c_14427,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a671)
    | ~ c2_1(a671)
    | ~ c1_1(a671) ),
    inference(instantiation,[status(thm)],[c_14225]) ).

tcf(c_14433,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a686)
    | ~ c2_1(a686)
    | ~ c1_1(a686) ),
    inference(instantiation,[status(thm)],[c_14223]) ).

tcf(c_14447,plain,
    ( c3_1(a695)
    | c1_1(a695)
    | ~ iPr_def_19
    | ~ c2_1(a695) ),
    inference(instantiation,[status(thm)],[c_14234]) ).

tcf(c_14449,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ iPr_def_19
    | ~ c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_14234]) ).

tcf(c_14455,plain,
    ( c0_1(a675)
    | c3_1(a675)
    | c1_1(a675)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14240]) ).

tcf(c_14467,plain,
    ( c0_1(a695)
    | c1_1(a695)
    | ~ iPr_def_22
    | ~ c2_1(a695) ),
    inference(instantiation,[status(thm)],[c_14239]) ).

tcf(c_14469,plain,
    ( c0_1(a675)
    | c1_1(a675)
    | ~ iPr_def_22
    | ~ c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_14239]) ).

tcf(c_14470,plain,
    ( c0_1(a665)
    | c1_1(a665)
    | ~ iPr_def_22
    | ~ c2_1(a665) ),
    inference(instantiation,[status(thm)],[c_14239]) ).

tcf(c_14483,plain,
    ( c2_1(a652)
    | ~ iPr_def_16
    | ~ c0_1(a652)
    | ~ c1_1(a652) ),
    inference(instantiation,[status(thm)],[c_14229]) ).

tcf(c_14488,plain,
    ( c0_1(a695)
    | c3_1(a695)
    | ~ iPr_def_21
    | ~ c1_1(a695) ),
    inference(instantiation,[status(thm)],[c_14237]) ).

tcf(c_14495,plain,
    ( c0_1(a665)
    | c3_1(a665)
    | c1_1(a665)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14240]) ).

tcf(c_14517,plain,
    ( c2_1(a660)
    | c1_1(a660)
    | ~ iPr_def_20
    | ~ c0_1(a660) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

tcf(c_14521,plain,
    ( c2_1(a642)
    | c1_1(a642)
    | ~ iPr_def_20
    | ~ c0_1(a642) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

tcf(c_14524,plain,
    ( c1_1(a675)
    | ~ iPr_def_17
    | ~ c0_1(a675)
    | ~ c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_14231]) ).

tcf(c_14541,plain,
    ( c1_1(a655)
    | ~ iPr_def_36
    | ~ c0_1(a655)
    | ~ c3_1(a655) ),
    inference(instantiation,[status(thm)],[c_14278]) ).

tcf(c_14545,plain,
    ( c1_1(a652)
    | ~ iPr_def_36
    | ~ c0_1(a652)
    | ~ c3_1(a652) ),
    inference(instantiation,[status(thm)],[c_14278]) ).

tcf(c_14547,plain,
    ( c1_1(a642)
    | ~ iPr_def_36
    | ~ c0_1(a642)
    | ~ c3_1(a642) ),
    inference(instantiation,[status(thm)],[c_14278]) ).

tcf(c_14564,plain,
    ( c0_1(a651)
    | ~ iPr_def_33
    | ~ c3_1(a651)
    | ~ c2_1(a651) ),
    inference(instantiation,[status(thm)],[c_14263]) ).

tcf(c_14565,plain,
    ( c0_1(a643)
    | ~ iPr_def_33
    | ~ c3_1(a643)
    | ~ c2_1(a643) ),
    inference(instantiation,[status(thm)],[c_14263]) ).

tcf(c_14569,plain,
    ( c3_1(a675)
    | c1_1(a675)
    | ~ iPr_def_14
    | ~ c0_1(a675) ),
    inference(instantiation,[status(thm)],[c_14227]) ).

tcf(c_14585,plain,
    ( c0_1(a646)
    | c3_1(a646)
    | c2_1(a646)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_14243]) ).

tcf(c_14591,plain,
    ( c3_1(a646)
    | c2_1(a646)
    | ~ iPr_def_30
    | ~ c0_1(a646) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

tcf(c_14625,plain,
    ( c2_1(a645)
    | ~ iPr_def_27
    | ~ c3_1(a645)
    | ~ c1_1(a645) ),
    inference(instantiation,[status(thm)],[c_14246]) ).

tcf(c_14629,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ iPr_def_28
    | ~ c3_1(a651) ),
    inference(instantiation,[status(thm)],[c_14248]) ).

tcf(c_14643,plain,
    ( c2_1(a652)
    | ~ iPr_def_31
    | ~ c0_1(a652)
    | ~ c3_1(a652) ),
    inference(instantiation,[status(thm)],[c_14256]) ).

tcf(c_14667,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ iPr_def_32
    | ~ c3_1(a651) ),
    inference(instantiation,[status(thm)],[c_14258]) ).

tcf(c_14683,plain,
    ( c3_1(a675)
    | ~ iPr_def_18
    | ~ c0_1(a675)
    | ~ c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_14232]) ).

tcf(c_14698,plain,
    ( c0_1(a691)
    | c3_1(a691)
    | c1_1(a691)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14240]) ).

tcf(c_14709,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a655)
    | ~ c2_1(a655)
    | ~ c1_1(a655) ),
    inference(instantiation,[status(thm)],[c_14225]) ).

tcf(c_14731,plain,
    ( c2_1(a661)
    | c1_1(a661)
    | ~ iPr_def_20
    | ~ c0_1(a661) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

tcf(c_14733,plain,
    ( c3_1(a661)
    | ~ iPr_def_18
    | ~ c0_1(a661)
    | ~ c2_1(a661) ),
    inference(instantiation,[status(thm)],[c_14232]) ).

tcf(c_14746,plain,
    ( c2_1(a651)
    | c1_1(a651)
    | ~ iPr_def_35
    | ~ c3_1(a651) ),
    inference(instantiation,[status(thm)],[c_14269]) ).

tcf(c_14835,plain,
    ( c0_1(a698)
    | ~ iPr_def_15
    | ~ c3_1(a698)
    | ~ c1_1(a698) ),
    inference(instantiation,[status(thm)],[c_14228]) ).

tcf(c_14836,plain,
    ( c0_1(a698)
    | c2_1(a698)
    | ~ iPr_def_32
    | ~ c3_1(a698) ),
    inference(instantiation,[status(thm)],[c_14258]) ).

tcf(c_14837,plain,
    ( c0_1(a698)
    | c3_1(a698)
    | ~ iPr_def_21
    | ~ c1_1(a698) ),
    inference(instantiation,[status(thm)],[c_14237]) ).

tcf(c_14847,plain,
    ( c1_1(a642)
    | ~ iPr_def_10
    | ~ c3_1(a642)
    | ~ c2_1(a642) ),
    inference(instantiation,[status(thm)],[c_14221]) ).

tcf(c_14903,plain,
    ( c3_1(a648)
    | c2_1(a648)
    | ~ iPr_def_34
    | ~ c1_1(a648) ),
    inference(instantiation,[status(thm)],[c_14267]) ).

tcf(c_14904,plain,
    ( c3_1(a647)
    | c2_1(a647)
    | ~ iPr_def_34
    | ~ c1_1(a647) ),
    inference(instantiation,[status(thm)],[c_14267]) ).

tcf(c_14924,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a655)
    | ~ c3_1(a655)
    | ~ c1_1(a655) ),
    inference(instantiation,[status(thm)],[c_14244]) ).

tcf(c_14958,plain,
    ( c2_1(a698)
    | ~ iPr_def_27
    | ~ c3_1(a698)
    | ~ c1_1(a698) ),
    inference(instantiation,[status(thm)],[c_14246]) ).

tcf(c_14960,plain,
    ( c2_1(a676)
    | ~ iPr_def_27
    | ~ c3_1(a676)
    | ~ c1_1(a676) ),
    inference(instantiation,[status(thm)],[c_14246]) ).

tcf(c_15007,plain,
    ( c0_1(a646)
    | c3_1(a646)
    | c1_1(a646)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14240]) ).

tcf(c_15009,plain,
    ( c0_1(a646)
    | c2_1(a646)
    | c1_1(a646)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_14301]) ).

tcf(c_15116,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ iPr_def_38
    | ~ c2_1(a643) ),
    inference(instantiation,[status(thm)],[c_14295]) ).

tcf(c_15120,plain,
    ( c3_1(a676)
    | c2_1(a676)
    | ~ iPr_def_34
    | ~ c1_1(a676) ),
    inference(instantiation,[status(thm)],[c_14267]) ).

tcf(c_15280,plain,
    ( c3_1(a698)
    | c2_1(a698)
    | ~ iPr_def_34
    | ~ c1_1(a698) ),
    inference(instantiation,[status(thm)],[c_14267]) ).

tcf(c_15329,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15280,c_15120,c_15116,c_15007,c_15009,c_14960,c_14958,c_14924,c_14904,c_14903,c_14847,c_14835,c_14836,c_14837,c_14746,c_14733,c_14731,c_14709,c_14698,c_14683,c_14667,c_14643,c_14629,c_14625,c_14591,c_14585,c_14569,c_14565,c_14564,c_14547,c_14545,c_14541,c_14524,c_14521,c_14517,c_14495,c_14488,c_14483,c_14470,c_14469,c_14467,c_14455,c_14449,c_14447,c_14433,c_14427,c_14423,c_14426,c_14422,c_14411,c_14403,c_14399,c_14387,c_14380,c_14378,c_14374,c_14372,c_14370,c_14369,c_14367,c_14365,c_14360,c_14359,c_14357,c_14347,c_14339,c_14337,c_14335,c_14334,c_14303,c_14302,c_14296,c_14294,c_14293,c_14286,c_14285,c_14283,c_14281,c_14280,c_14279,c_14274,c_14270,c_14268,c_14266,c_14265,c_14262,c_14261,c_14259,c_14255,c_14249,c_14245,c_14241,c_14238,c_14235,c_14233,c_14230,c_14226,c_14224,c_14272,c_7415,c_7405,c_5270,c_5260,c_5250,c_4523,c_4513,c_4503,c_4493,c_4483,c_4473,c_2804,c_2784,c_2774,c_2764,c_2754,c_2486,c_2476,c_2466,c_312,c_313,c_314,c_315,c_317,c_318,c_319,c_323,c_324,c_325,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_268,c_269,c_270,c_271,c_272,c_273,c_274,c_275,c_276,c_277,c_278,c_284,c_285,c_286,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_264]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN450-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n011.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 01:14:58 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running EPR theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 4.56/1.17  % SZS status Started for theBenchmark.p
% 4.56/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.56/1.17  
% 4.56/1.17  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.56/1.17  
% 4.56/1.17  % ------  iProver source info
% 4.56/1.17  
% 4.56/1.17  % git: date: 2026-07-19 20:42:38 +0200
% 4.56/1.17  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.56/1.17  % git: non_committed_changes: false
% 4.56/1.17  
% 4.56/1.17  % ------ Parsing...% successful
% 4.56/1.17  
% 4.56/1.17  
% 4.56/1.17  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.56/1.17  % 
% 4.56/1.17  
% 4.56/1.17  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.56/1.17  
% 4.56/1.17  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.56/1.17   gs_s  sp: 90 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.56/1.17  % ------ Proving...
% 4.56/1.17  % ------ Problem Properties 
% 4.56/1.17  
% 4.56/1.17  % 
% 4.56/1.17  % clauses                               180
% 4.56/1.17  % conjectures                           180
% 4.56/1.17  % EPR                                   180
% 4.56/1.17  % Horn                                  105
% 4.56/1.17  % unary                                 0
% 4.56/1.17  % binary                                91
% 4.56/1.17  % lits                                  479
% 4.56/1.17  % lits eq                               0
% 4.56/1.17  % fd_pure                               0
% 4.56/1.17  % fd_pseudo                             0
% 4.56/1.17  % fd_cond                               0
% 4.56/1.17  % fd_pseudo_cond                        0
% 4.56/1.17  % AC symbols                            0
% 4.56/1.17  
% 4.56/1.17  % ------ Schedule EPR non Horn non eq is on
% 4.56/1.17  
% 4.56/1.17  % ------ no equalities: superposition off 
% 4.56/1.17  
% 4.56/1.17  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.56/1.17  
% 4.56/1.17  
% 4.56/1.17  % ------ 
% 4.56/1.17  % Current options:
% 4.56/1.17  % ------ 
% 4.56/1.17  
% 4.56/1.17  
% 4.56/1.17  % 
% 4.56/1.17  
% 4.56/1.17  % ------ Proving...
% 4.56/1.17  % 
% 4.56/1.17  
% 4.56/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.56/1.17  
% 4.56/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.56/1.18  
% 4.56/1.18  
%------------------------------------------------------------------------------