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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN470-1 : 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 : n014.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 03:40:23 PM UTC 2026

% Result   : Unsatisfiable 3.62s 1.14s
% Output   : CNFRefutation 3.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  125
% Syntax   : Number of formulae    :  491 (   2 unt;   0 def)
%            Number of atoms       : 2155 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2766 (1102   ~;1664   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   60 (  59 usr;  56 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  350 (   0 sgn 350   !;   0   ?; 267   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f28,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f30,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

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

fof(f33,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f36,negated_conjecture,
    ( hskp14
    | hskp6
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f39,negated_conjecture,
    ( hskp2
    | hskp8
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f49,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f55,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f58,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f64,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f67,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f94,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a554) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a554) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f97,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a540) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f100,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a536) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f106,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a532) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a532) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a530) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a528) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a527) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a527) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a514) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a510) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a502) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a502) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a502) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a501) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a499) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a498) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a496) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a496) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a496) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a495) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a495) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a494) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp29
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp30
      | hskp13
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp31
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp12
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp30
      | hskp31
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp31
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

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

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp15
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

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

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c3_1(X1)
      | c0_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,
    ! [X0,X1] :
      ( hskp15
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

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

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp24
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

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

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

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

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

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

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

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

tcf(c_268,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_272,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_274,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_276,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_277,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp15 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_280,negated_conjecture,
    ( hskp6
    | hskp13
    | hskp14 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_283,negated_conjecture,
    ( hskp2
    | hskp4
    | hskp8 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_284,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_285,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_286,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_287,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_288,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_289,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_290,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_291,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_293,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_294,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_295,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_299,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_303,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_308,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_309,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_311,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_312,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_313,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_314,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_315,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_316,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_317,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_318,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_319,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_320,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_321,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_322,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_323,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_324,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_325,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_326,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_327,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_328,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_329,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_330,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_331,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a554) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a554) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a540) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a536) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a536) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a536) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a532) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a532) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a530) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a528) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a527) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a527) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a514) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a510) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a507) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a502) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a502) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a502) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a501) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a499) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a498) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a496) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a496) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a496) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a495) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a495) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a494) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a494) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp29
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp30
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp31
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp20
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp31
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp31
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp28
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp15
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_470,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_276,c_283,c_274,c_272,c_268]) ).

tcf(c_537,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_380,c_283,c_274,c_272,c_268,c_380]) ).

tcf(c_540,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp20
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_283,c_274,c_272,c_268,c_391]) ).

tcf(c_546,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp31
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_283,c_274,c_272,c_268,c_389]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp30
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_388,c_283,c_274,c_272,c_268,c_388]) ).

tcf(c_555,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_283,c_274,c_272,c_268,c_386]) ).

tcf(c_564,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp29
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_383,c_283,c_274,c_272,c_268,c_383]) ).

tcf(c_576,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp15
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_283,c_274,c_272,c_268,c_397]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp15
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_576]) ).

tcf(c_579,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp5
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_283,c_274,c_272,c_268,c_396]) ).

tcf(c_580,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp5
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_579]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_283,c_274,c_272,c_268,c_395]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_585,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp28
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_283,c_274,c_272,c_268,c_394]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp28
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_585]) ).

tcf(c_588,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp31
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_283,c_274,c_272,c_268,c_393]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp31
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_591,plain,
    ! [X0: $i] :
      ( hskp30
      | hskp31
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_283,c_274,c_272,c_268,c_392]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp31
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_591]) ).

tcf(c_600,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_283,c_274,c_272,c_268,c_401]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_600]) ).

tcf(c_603,plain,
    ! [X0: $i] :
      ( hskp8
      | hskp12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_283,c_274,c_272,c_268,c_400]) ).

tcf(c_604,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp12
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_603]) ).

tcf(c_606,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_283,c_274,c_272,c_268,c_405]) ).

tcf(c_608,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_283,c_274,c_272,c_268,c_404]) ).

tcf(c_610,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_409,c_470]) ).

tcf(c_611,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_610]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_283,c_274,c_272,c_268,c_407]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_283,c_274,c_272,c_268,c_406]) ).

tcf(c_619,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

tcf(c_620,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_283,c_274,c_272,c_268,c_421]) ).

tcf(c_621,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_620]) ).

tcf(c_624,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_283,c_274,c_272,c_268,c_419]) ).

tcf(c_625,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_624]) ).

tcf(c_626,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_283,c_274,c_272,c_268,c_418]) ).

tcf(c_627,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_626]) ).

tcf(c_628,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_283,c_274,c_272,c_268,c_417]) ).

tcf(c_629,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_628]) ).

tcf(c_632,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_283,c_274,c_272,c_268,c_415]) ).

tcf(c_633,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_632]) ).

tcf(c_636,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_283,c_274,c_272,c_268,c_413]) ).

tcf(c_637,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_636]) ).

tcf(c_638,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_283,c_274,c_272,c_268,c_412]) ).

tcf(c_639,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_638]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_283,c_274,c_272,c_268,c_411]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_643,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_283,c_274,c_272,c_268,c_410]) ).

tcf(c_644,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_643]) ).

tcf(c_645,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_283,c_274,c_272,c_268,c_430]) ).

tcf(c_646,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_645]) ).

tcf(c_647,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_283,c_274,c_272,c_268,c_429]) ).

tcf(c_648,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_647]) ).

tcf(c_649,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_283,c_274,c_272,c_268,c_428]) ).

tcf(c_650,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_649]) ).

tcf(c_652,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_283,c_274,c_272,c_268,c_427]) ).

tcf(c_653,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_652]) ).

tcf(c_654,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_283,c_274,c_272,c_268,c_426]) ).

tcf(c_655,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_654]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_283,c_274,c_272,c_268,c_425]) ).

tcf(c_658,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_657]) ).

tcf(c_659,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_283,c_274,c_272,c_268,c_424]) ).

tcf(c_660,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_659]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_283,c_274,c_272,c_268,c_423]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_663,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_283,c_274,c_272,c_268,c_422]) ).

tcf(c_664,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_663]) ).

tcf(c_667,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_283,c_274,c_272,c_268,c_432]) ).

tcf(c_668,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_667]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_283,c_274,c_272,c_268,c_434]) ).

tcf(c_672,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_671]) ).

tcf(c_673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_283,c_274,c_272,c_268,c_437]) ).

tcf(c_674,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_673]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_283,c_274,c_272,c_268,c_436]) ).

tcf(c_676,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_675]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_283,c_274,c_272,c_268,c_435]) ).

tcf(c_678,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_283,c_274,c_272,c_268,c_439]) ).

tcf(c_680,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_679]) ).

tcf(c_681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_283,c_274,c_272,c_268,c_438]) ).

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

tcf(c_683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_283,c_274,c_272,c_268,c_440]) ).

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

tcf(c_2937,plain,
    ( hskp6
    | hskp13
    | ~ c3_1(a527) ),
    inference(resolution,[status(thm)],[c_280,c_355]) ).

tcf(c_2947,plain,
    ( hskp6
    | hskp13
    | ~ c1_1(a527) ),
    inference(resolution,[status(thm)],[c_280,c_354]) ).

tcf(c_2957,plain,
    ( hskp6
    | hskp13
    | c2_1(a527) ),
    inference(resolution,[status(thm)],[c_280,c_313]) ).

tcf(c_4827,plain,
    ( hskp13
    | hskp15
    | ~ c2_1(a514) ),
    inference(resolution,[status(thm)],[c_277,c_357]) ).

tcf(c_4847,plain,
    ( hskp13
    | hskp15
    | c1_1(a514) ),
    inference(resolution,[status(thm)],[c_277,c_316]) ).

tcf(c_5073,plain,
    ( hskp12
    | hskp15
    | ~ c3_1(a520) ),
    inference(resolution,[status(thm)],[c_277,c_356]) ).

tcf(c_5093,plain,
    ( hskp12
    | hskp15
    | c0_1(a520) ),
    inference(resolution,[status(thm)],[c_277,c_314]) ).

tcf(c_6981,plain,
    ( hskp4
    | hskp8
    | ~ c3_1(a496) ),
    inference(resolution,[status(thm)],[c_283,c_375]) ).

tcf(c_6991,plain,
    ( hskp4
    | hskp8
    | ~ c2_1(a496) ),
    inference(resolution,[status(thm)],[c_283,c_374]) ).

tcf(c_7001,plain,
    ( hskp4
    | hskp8
    | ~ c1_1(a496) ),
    inference(resolution,[status(thm)],[c_283,c_373]) ).

tcf(c_16176,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_684]) ).

tcf(c_16177,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_684]) ).

tcf(c_16178,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_684]) ).

tcf(c_16179,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).

tcf(c_16180,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_682]) ).

tcf(c_16181,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_682]) ).

tcf(c_16182,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_682]) ).

tcf(c_16183,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).

tcf(c_16184,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_680]) ).

tcf(c_16185,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_680]) ).

tcf(c_16186,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_16187,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_678]) ).

tcf(c_16188,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).

tcf(c_16189,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_676]) ).

tcf(c_16190,negated_conjecture,
    ( iPr_def_19
    | iPr_def_14
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).

tcf(c_16191,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_674]) ).

tcf(c_16192,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_674]) ).

tcf(c_16193,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).

tcf(c_16194,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_672]) ).

tcf(c_16195,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_672]) ).

tcf(c_16196,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).

tcf(c_16198,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_668]) ).

tcf(c_16199,negated_conjecture,
    ( iPr_def_24
    | iPr_def_12
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).

tcf(c_16201,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_664]) ).

tcf(c_16202,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_664]) ).

tcf(c_16203,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).

tcf(c_16204,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_662]) ).

tcf(c_16206,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_660]) ).

tcf(c_16207,negated_conjecture,
    ( iPr_def_28
    | iPr_def_19
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_660]) ).

tcf(c_16208,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_658]) ).

tcf(c_16209,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).

tcf(c_16210,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_655]) ).

tcf(c_16212,negated_conjecture,
    ( iPr_def_30
    | iPr_def_17
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_653]) ).

tcf(c_16213,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_650]) ).

tcf(c_16215,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_648]) ).

tcf(c_16216,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).

tcf(c_16217,negated_conjecture,
    ( iPr_def_32
    | iPr_def_17
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).

tcf(c_16218,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_644]) ).

tcf(c_16219,negated_conjecture,
    ( iPr_def_28
    | iPr_def_25
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_16220,negated_conjecture,
    ( iPr_def_32
    | iPr_def_25
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_639]) ).

tcf(c_16221,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_637]) ).

tcf(c_16222,negated_conjecture,
    ( iPr_def_33
    | iPr_def_18
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_637]) ).

tcf(c_16224,negated_conjecture,
    ( iPr_def_21
    | iPr_def_11
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).

tcf(c_16226,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_16227,negated_conjecture,
    ( iPr_def_33
    | iPr_def_29
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).

tcf(c_16228,negated_conjecture,
    ( iPr_def_29
    | iPr_def_12
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_625]) ).

tcf(c_16230,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_621]) ).

tcf(c_16232,negated_conjecture,
    ( iPr_def_19
    | iPr_def_14
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).

tcf(c_16233,negated_conjecture,
    ( iPr_def_29
    | iPr_def_16
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_16236,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_611]) ).

tcf(c_16237,negated_conjecture,
    ( iPr_def_36
    | iPr_def_34
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).

tcf(c_16238,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_608]) ).

tcf(c_16239,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_608]) ).

tcf(c_16240,negated_conjecture,
    ( iPr_def_38
    | iPr_def_37
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).

tcf(c_16241,negated_conjecture,
    ( iPr_def_34
    | iPr_def_22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

tcf(c_16242,negated_conjecture,
    ( iPr_def_26
    | hskp8
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).

tcf(c_16243,negated_conjecture,
    ( iPr_def_15
    | hskp3
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).

tcf(c_16246,negated_conjecture,
    ( iPr_def_13
    | hskp30
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).

tcf(c_16247,negated_conjecture,
    ( iPr_def_13
    | hskp1
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).

tcf(c_16248,negated_conjecture,
    ( iPr_def_28
    | hskp16
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

tcf(c_16249,negated_conjecture,
    ( iPr_def_28
    | hskp4
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_16250,negated_conjecture,
    ( iPr_def_19
    | hskp4
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).

tcf(c_16251,negated_conjecture,
    ( iPr_def_31
    | hskp10
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).

tcf(c_16255,negated_conjecture,
    ( iPr_def_18
    | hskp8
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).

tcf(c_16258,negated_conjecture,
    ( iPr_def_16
    | hskp8
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).

tcf(c_16260,negated_conjecture,
    ( iPr_def_27
    | hskp13
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).

tcf(c_16261,negated_conjecture,
    ( iPr_def_34
    | hskp4
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).

tcf(c_16263,negated_conjecture,
    ( iPr_def_38
    | hskp12
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).

tcf(c_16264,negated_conjecture,
    ( iPr_def_14
    | hskp10
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).

tcf(c_16273,plain,
    ( c2_1(a494)
    | c0_1(a494)
    | ~ iPr_def_20
    | ~ c3_1(a494) ),
    inference(instantiation,[status(thm)],[c_16191]) ).

tcf(c_16297,plain,
    ( c3_1(a522)
    | ~ iPr_def_12
    | ~ c1_1(a522)
    | ~ c0_1(a522) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

tcf(c_16302,plain,
    ( c3_1(a528)
    | ~ iPr_def_12
    | ~ c1_1(a528)
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

tcf(c_16303,plain,
    ( c3_1(a520)
    | ~ iPr_def_12
    | ~ c1_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

tcf(c_16308,plain,
    ( c0_1(a540)
    | ~ iPr_def_13
    | ~ c2_1(a540)
    | ~ c1_1(a540) ),
    inference(instantiation,[status(thm)],[c_16180]) ).

tcf(c_16313,plain,
    ( c0_1(a501)
    | ~ iPr_def_13
    | ~ c2_1(a501)
    | ~ c1_1(a501) ),
    inference(instantiation,[status(thm)],[c_16180]) ).

tcf(c_16317,plain,
    ( c2_1(a540)
    | c0_1(a540)
    | ~ iPr_def_16
    | ~ c1_1(a540) ),
    inference(instantiation,[status(thm)],[c_16184]) ).

tcf(c_16321,plain,
    ( c2_1(a514)
    | c0_1(a514)
    | ~ iPr_def_16
    | ~ c1_1(a514) ),
    inference(instantiation,[status(thm)],[c_16184]) ).

tcf(c_16323,plain,
    ( c2_1(a498)
    | c0_1(a498)
    | ~ iPr_def_16
    | ~ c1_1(a498) ),
    inference(instantiation,[status(thm)],[c_16184]) ).

tcf(c_16329,plain,
    ( c3_1(a527)
    | c1_1(a527)
    | c0_1(a527)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16194]) ).

tcf(c_16331,plain,
    ( c3_1(a502)
    | c1_1(a502)
    | c0_1(a502)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16194]) ).

tcf(c_16333,plain,
    ( c3_1(a496)
    | c1_1(a496)
    | c0_1(a496)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16194]) ).

tcf(c_16341,plain,
    ( c0_1(a540)
    | ~ iPr_def_10
    | ~ c3_1(a540)
    | ~ c1_1(a540) ),
    inference(instantiation,[status(thm)],[c_16176]) ).

tcf(c_16347,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a522)
    | ~ c2_1(a522)
    | ~ c1_1(a522) ),
    inference(instantiation,[status(thm)],[c_16182]) ).

tcf(c_16357,plain,
    ( c2_1(a504)
    | ~ iPr_def_19
    | ~ c1_1(a504)
    | ~ c0_1(a504) ),
    inference(instantiation,[status(thm)],[c_16189]) ).

tcf(c_16361,plain,
    ( c2_1(a528)
    | ~ iPr_def_19
    | ~ c1_1(a528)
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_16189]) ).

tcf(c_16362,plain,
    ( c2_1(a514)
    | ~ iPr_def_19
    | ~ c1_1(a514)
    | ~ c0_1(a514) ),
    inference(instantiation,[status(thm)],[c_16189]) ).

tcf(c_16373,plain,
    ( c3_1(a498)
    | c0_1(a498)
    | ~ iPr_def_21
    | ~ c1_1(a498) ),
    inference(instantiation,[status(thm)],[c_16192]) ).

tcf(c_16381,plain,
    ( c1_1(a527)
    | c0_1(a527)
    | ~ iPr_def_25
    | ~ c2_1(a527) ),
    inference(instantiation,[status(thm)],[c_16201]) ).

tcf(c_16383,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ iPr_def_25
    | ~ c2_1(a505) ),
    inference(instantiation,[status(thm)],[c_16201]) ).

tcf(c_16386,plain,
    ( c1_1(a497)
    | c0_1(a497)
    | ~ iPr_def_25
    | ~ c2_1(a497) ),
    inference(instantiation,[status(thm)],[c_16201]) ).

tcf(c_16406,plain,
    ( c1_1(a520)
    | ~ iPr_def_33
    | ~ c2_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16221]) ).

tcf(c_16409,plain,
    ( c1_1(a499)
    | ~ iPr_def_33
    | ~ c2_1(a499)
    | ~ c0_1(a499) ),
    inference(instantiation,[status(thm)],[c_16221]) ).

tcf(c_16438,plain,
    ( c3_1(a501)
    | ~ iPr_def_12
    | ~ c1_1(a501)
    | ~ c0_1(a501) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

tcf(c_16442,plain,
    ( c3_1(a554)
    | c2_1(a554)
    | ~ iPr_def_36
    | ~ c0_1(a554) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

tcf(c_16444,plain,
    ( c3_1(a528)
    | c2_1(a528)
    | ~ iPr_def_36
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

tcf(c_16449,plain,
    ( c3_1(a496)
    | c2_1(a496)
    | ~ iPr_def_36
    | ~ c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

tcf(c_16468,plain,
    ( c3_1(a527)
    | c1_1(a527)
    | ~ iPr_def_38
    | ~ c2_1(a527) ),
    inference(instantiation,[status(thm)],[c_16239]) ).

tcf(c_16477,plain,
    ( c3_1(a536)
    | c2_1(a536)
    | c0_1(a536)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_16181]) ).

tcf(c_16498,plain,
    ( c3_1(a528)
    | ~ iPr_def_23
    | ~ c2_1(a528)
    | ~ c1_1(a528) ),
    inference(instantiation,[status(thm)],[c_16195]) ).

tcf(c_16500,plain,
    ( c3_1(a520)
    | ~ iPr_def_23
    | ~ c2_1(a520)
    | ~ c1_1(a520) ),
    inference(instantiation,[status(thm)],[c_16195]) ).

tcf(c_16502,plain,
    ( c3_1(a501)
    | ~ iPr_def_23
    | ~ c2_1(a501)
    | ~ c1_1(a501) ),
    inference(instantiation,[status(thm)],[c_16195]) ).

tcf(c_16506,plain,
    ( ~ iPr_def_26
    | ~ c2_1(a522)
    | ~ c1_1(a522)
    | ~ c0_1(a522) ),
    inference(instantiation,[status(thm)],[c_16202]) ).

tcf(c_16511,plain,
    ( ~ iPr_def_26
    | ~ c2_1(a520)
    | ~ c1_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16202]) ).

tcf(c_16524,plain,
    ( c0_1(a505)
    | ~ iPr_def_28
    | ~ c3_1(a505)
    | ~ c2_1(a505) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

tcf(c_16539,plain,
    ( c1_1(a536)
    | c0_1(a536)
    | ~ iPr_def_18
    | ~ c3_1(a536) ),
    inference(instantiation,[status(thm)],[c_16187]) ).

tcf(c_16541,plain,
    ( c1_1(a507)
    | c0_1(a507)
    | ~ iPr_def_18
    | ~ c3_1(a507) ),
    inference(instantiation,[status(thm)],[c_16187]) ).

tcf(c_16542,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ iPr_def_18
    | ~ c3_1(a505) ),
    inference(instantiation,[status(thm)],[c_16187]) ).

tcf(c_16574,plain,
    ( c3_1(a527)
    | c1_1(a527)
    | ~ iPr_def_34
    | ~ c0_1(a527) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

tcf(c_16575,plain,
    ( c3_1(a520)
    | c1_1(a520)
    | ~ iPr_def_34
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

tcf(c_16578,plain,
    ( c3_1(a496)
    | c1_1(a496)
    | ~ iPr_def_34
    | ~ c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

tcf(c_16600,plain,
    ( c1_1(a499)
    | ~ iPr_def_11
    | ~ c3_1(a499)
    | ~ c0_1(a499) ),
    inference(instantiation,[status(thm)],[c_16177]) ).

tcf(c_16609,plain,
    ( c2_1(a536)
    | c1_1(a536)
    | c0_1(a536)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_16238]) ).

tcf(c_16652,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a500)
    | ~ c2_1(a500)
    | ~ c0_1(a500) ),
    inference(instantiation,[status(thm)],[c_16198]) ).

tcf(c_16659,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a499)
    | ~ c2_1(a499)
    | ~ c0_1(a499) ),
    inference(instantiation,[status(thm)],[c_16198]) ).

tcf(c_16667,plain,
    ( c2_1(a532)
    | c1_1(a532)
    | ~ iPr_def_29
    | ~ c0_1(a532) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

tcf(c_16673,plain,
    ( c2_1(a496)
    | c1_1(a496)
    | ~ iPr_def_29
    | ~ c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

tcf(c_16708,plain,
    ( c3_1(a495)
    | c0_1(a495)
    | ~ iPr_def_21
    | ~ c1_1(a495) ),
    inference(instantiation,[status(thm)],[c_16192]) ).

tcf(c_16723,plain,
    ( ~ iPr_def_26
    | ~ c2_1(a512)
    | ~ c1_1(a512)
    | ~ c0_1(a512) ),
    inference(instantiation,[status(thm)],[c_16202]) ).

tcf(c_16746,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a512)
    | ~ c2_1(a512)
    | ~ c1_1(a512) ),
    inference(instantiation,[status(thm)],[c_16182]) ).

tcf(c_16751,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a505)
    | ~ c2_1(a505)
    | ~ c1_1(a505) ),
    inference(instantiation,[status(thm)],[c_16182]) ).

tcf(c_16774,plain,
    ( c2_1(a509)
    | c1_1(a509)
    | ~ iPr_def_29
    | ~ c0_1(a509) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

tcf(c_16783,plain,
    ( c3_1(a528)
    | ~ iPr_def_32
    | ~ c2_1(a528)
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_16215]) ).

tcf(c_16784,plain,
    ( c3_1(a520)
    | ~ iPr_def_32
    | ~ c2_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16215]) ).

tcf(c_16785,plain,
    ( c3_1(a501)
    | ~ iPr_def_32
    | ~ c2_1(a501)
    | ~ c0_1(a501) ),
    inference(instantiation,[status(thm)],[c_16215]) ).

tcf(c_16860,plain,
    ( ~ iPr_def_26
    | ~ c2_1(a504)
    | ~ c1_1(a504)
    | ~ c0_1(a504) ),
    inference(instantiation,[status(thm)],[c_16202]) ).

tcf(c_16933,plain,
    ( c1_1(a530)
    | ~ iPr_def_33
    | ~ c2_1(a530)
    | ~ c0_1(a530) ),
    inference(instantiation,[status(thm)],[c_16221]) ).

tcf(c_16934,plain,
    ( c1_1(a530)
    | c0_1(a530)
    | ~ iPr_def_25
    | ~ c2_1(a530) ),
    inference(instantiation,[status(thm)],[c_16201]) ).

tcf(c_16938,plain,
    ( c2_1(a540)
    | ~ iPr_def_17
    | ~ c3_1(a540)
    | ~ c1_1(a540) ),
    inference(instantiation,[status(thm)],[c_16185]) ).

tcf(c_16940,plain,
    ( c2_1(a514)
    | ~ iPr_def_17
    | ~ c3_1(a514)
    | ~ c1_1(a514) ),
    inference(instantiation,[status(thm)],[c_16185]) ).

tcf(c_17086,plain,
    ( c3_1(a497)
    | c1_1(a497)
    | c0_1(a497)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16194]) ).

tcf(c_17161,plain,
    ( c3_1(a496)
    | c2_1(a496)
    | c0_1(a496)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_16181]) ).

tcf(c_17218,plain,
    ( c2_1(a509)
    | ~ iPr_def_19
    | ~ c1_1(a509)
    | ~ c0_1(a509) ),
    inference(instantiation,[status(thm)],[c_16189]) ).

tcf(c_17270,plain,
    ( c2_1(a509)
    | ~ iPr_def_31
    | ~ c3_1(a509)
    | ~ c0_1(a509) ),
    inference(instantiation,[status(thm)],[c_16213]) ).

tcf(c_17423,plain,
    ( c0_1(a512)
    | ~ iPr_def_13
    | ~ c2_1(a512)
    | ~ c1_1(a512) ),
    inference(instantiation,[status(thm)],[c_16180]) ).

tcf(c_17427,plain,
    ( c0_1(a505)
    | ~ iPr_def_13
    | ~ c2_1(a505)
    | ~ c1_1(a505) ),
    inference(instantiation,[status(thm)],[c_16180]) ).

tcf(c_17433,plain,
    ( c1_1(a532)
    | c0_1(a532)
    | ~ iPr_def_18
    | ~ c3_1(a532) ),
    inference(instantiation,[status(thm)],[c_16187]) ).

tcf(c_17551,plain,
    ( c3_1(a499)
    | ~ iPr_def_32
    | ~ c2_1(a499)
    | ~ c0_1(a499) ),
    inference(instantiation,[status(thm)],[c_16215]) ).

tcf(c_17651,plain,
    ( c1_1(a497)
    | c0_1(a497)
    | ~ iPr_def_18
    | ~ c3_1(a497) ),
    inference(instantiation,[status(thm)],[c_16187]) ).

tcf(c_17803,plain,
    ( c2_1(a510)
    | ~ iPr_def_31
    | ~ c3_1(a510)
    | ~ c0_1(a510) ),
    inference(instantiation,[status(thm)],[c_16213]) ).

tcf(c_17804,plain,
    ( c2_1(a510)
    | c1_1(a510)
    | ~ iPr_def_29
    | ~ c0_1(a510) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

tcf(c_17896,plain,
    ( c1_1(a499)
    | ~ iPr_def_30
    | ~ c3_1(a499)
    | ~ c2_1(a499) ),
    inference(instantiation,[status(thm)],[c_16210]) ).

tcf(c_17926,plain,
    ( c2_1(a498)
    | ~ iPr_def_17
    | ~ c3_1(a498)
    | ~ c1_1(a498) ),
    inference(instantiation,[status(thm)],[c_16185]) ).

tcf(c_17948,plain,
    ( c3_1(a527)
    | c0_1(a527)
    | ~ iPr_def_27
    | ~ c2_1(a527) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

tcf(c_17951,plain,
    ( c3_1(a527)
    | ~ iPr_def_32
    | ~ c2_1(a527)
    | ~ c0_1(a527) ),
    inference(instantiation,[status(thm)],[c_16215]) ).

tcf(c_17974,plain,
    ( c3_1(a522)
    | ~ iPr_def_23
    | ~ c2_1(a522)
    | ~ c1_1(a522) ),
    inference(instantiation,[status(thm)],[c_16195]) ).

tcf(c_18004,plain,
    ( c3_1(a498)
    | c2_1(a498)
    | c0_1(a498)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_16181]) ).

tcf(c_18209,plain,
    ( c3_1(a510)
    | c2_1(a510)
    | ~ iPr_def_36
    | ~ c0_1(a510) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

tcf(c_18370,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18209,c_18004,c_17974,c_17948,c_17951,c_17926,c_17896,c_17803,c_17804,c_17651,c_17551,c_17433,c_17427,c_17423,c_17270,c_17218,c_17161,c_17086,c_16940,c_16938,c_16933,c_16934,c_16860,c_16785,c_16784,c_16783,c_16774,c_16751,c_16746,c_16723,c_16708,c_16673,c_16667,c_16659,c_16652,c_16609,c_16600,c_16578,c_16575,c_16574,c_16542,c_16541,c_16539,c_16524,c_16511,c_16506,c_16502,c_16500,c_16498,c_16477,c_16468,c_16449,c_16444,c_16442,c_16438,c_16409,c_16406,c_16386,c_16383,c_16381,c_16373,c_16362,c_16361,c_16357,c_16347,c_16341,c_16333,c_16331,c_16329,c_16323,c_16321,c_16317,c_16313,c_16308,c_16303,c_16302,c_16297,c_16273,c_16264,c_16263,c_16261,c_16260,c_16258,c_16255,c_16251,c_16250,c_16249,c_16248,c_16247,c_16246,c_16243,c_16242,c_16241,c_16240,c_16237,c_16233,c_16232,c_16228,c_16227,c_16226,c_16224,c_16222,c_16220,c_16219,c_16218,c_16217,c_16216,c_16212,c_16209,c_16207,c_16203,c_16199,c_16196,c_16193,c_16190,c_16188,c_16186,c_16183,c_16179,c_7001,c_6991,c_6981,c_5093,c_5073,c_4847,c_4827,c_2957,c_2947,c_2937,c_338,c_339,c_341,c_344,c_345,c_346,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_377,c_378,c_379,c_284,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_293,c_294,c_295,c_299,c_302,c_303,c_308,c_309,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_277]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN470-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n014.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 01:22:47 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running EPR theorem proving
% 0.11/0.41  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
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 3.62/1.14  % SZS status Started for theBenchmark.p
% 3.62/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.62/1.14  
% 3.62/1.14  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.62/1.14  
% 3.62/1.14  % ------  iProver source info
% 3.62/1.14  
% 3.62/1.14  % git: date: 2026-07-19 20:42:38 +0200
% 3.62/1.14  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.62/1.14  % git: non_committed_changes: false
% 3.62/1.14  
% 3.62/1.14  % ------ Parsing...% successful
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.62/1.14  % 
% 3.62/1.14  
% 3.62/1.14  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.62/1.14  
% 3.62/1.14  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.62/1.14   gs_s  sp: 105 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.62/1.14  % ------ Proving...
% 3.62/1.14  % ------ Problem Properties 
% 3.62/1.14  
% 3.62/1.14  % 
% 3.62/1.14  % clauses                               194
% 3.62/1.14  % conjectures                           194
% 3.62/1.14  % EPR                                   194
% 3.62/1.14  % Horn                                  111
% 3.62/1.14  % unary                                 0
% 3.62/1.14  % binary                                96
% 3.62/1.14  % lits                                  516
% 3.62/1.14  % lits eq                               0
% 3.62/1.14  % fd_pure                               0
% 3.62/1.14  % fd_pseudo                             0
% 3.62/1.14  % fd_cond                               0
% 3.62/1.14  % fd_pseudo_cond                        0
% 3.62/1.14  % AC symbols                            0
% 3.62/1.14  
% 3.62/1.14  % ------ Schedule EPR non Horn non eq is on
% 3.62/1.14  
% 3.62/1.14  % ------ no equalities: superposition off 
% 3.62/1.14  
% 3.62/1.14  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  % ------ 
% 3.62/1.14  % Current options:
% 3.62/1.14  % ------ 
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  % 
% 3.62/1.14  
% 3.62/1.14  % ------ Proving...
% 3.62/1.14  % 
% 3.62/1.14  
% 3.62/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.62/1.14  
% 3.62/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.62/1.15  
% 3.62/1.15  
%------------------------------------------------------------------------------