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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.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 03:40:38 PM UTC 2026

% Result   : Unsatisfiable 3.85s 1.14s
% Output   : CNFRefutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  109
% Syntax   : Number of formulae    :  434 (   2 unt;   0 def)
%            Number of atoms       : 1832 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2398 (1000   ~;1398   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   58 (  57 usr;  54 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  295 (   0 sgn 295   !;   0   ?; 226   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f15,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

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

fof(f39,negated_conjecture,
    ( hskp16
    | hskp0
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f41,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f46,negated_conjecture,
    ( c2_1(a725)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c3_1(a725)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c0_1(a678)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c1_1(a678)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c3_1(a678)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c0_1(a676)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c1_1(a676)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c2_1(a676)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( c0_1(a731)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f61,negated_conjecture,
    ( c0_1(a711)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c1_1(a711)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f64,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f66,negated_conjecture,
    ( c1_1(a703)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c2_1(a702)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c2_1(a700)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c2_1(a696)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c0_1(a688)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c1_1(a688)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f75,negated_conjecture,
    ( c0_1(a683)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c3_1(a683)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c2_1(a681)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c3_1(a681)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c2_1(a680)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c1_1(a679)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c3_1(a679)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c3_1(a674)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f87,negated_conjecture,
    ( c3_1(a670)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( c1_1(a668)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f92,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a731) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a731) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f101,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a711) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f105,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a703) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a703) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a700) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a700) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f114,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a683) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a681) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a680) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a679) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a675) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a674) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a673) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a672) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f129,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a670) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a670) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a669) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a669) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a668) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a668) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp28
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp9
      | hskp13
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp9
      | hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp9
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp20
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp29
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp27
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp6
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f155,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp28
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp24
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

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

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp19
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

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

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

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

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

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

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

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

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

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

fof(f204,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

tcf(c_254,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_267,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_283,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_291,negated_conjecture,
    ( hskp0
    | hskp16
    | hskp29 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_293,negated_conjecture,
    ( hskp5
    | hskp7
    | hskp25 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_298,negated_conjecture,
    ( c2_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_299,negated_conjecture,
    ( c3_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_300,negated_conjecture,
    ( c0_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_301,negated_conjecture,
    ( c1_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_302,negated_conjecture,
    ( c3_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_303,negated_conjecture,
    ( c0_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_304,negated_conjecture,
    ( c1_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_305,negated_conjecture,
    ( c2_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_307,negated_conjecture,
    ( c0_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_313,negated_conjecture,
    ( c0_1(a711)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_314,negated_conjecture,
    ( c1_1(a711)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_316,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_318,negated_conjecture,
    ( c1_1(a703)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_319,negated_conjecture,
    ( c2_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_320,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_321,negated_conjecture,
    ( c2_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_322,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_323,negated_conjecture,
    ( c2_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_324,negated_conjecture,
    ( c0_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_325,negated_conjecture,
    ( c1_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_327,negated_conjecture,
    ( c0_1(a683)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_328,negated_conjecture,
    ( c3_1(a683)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_329,negated_conjecture,
    ( c2_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_330,negated_conjecture,
    ( c3_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_331,negated_conjecture,
    ( c2_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_332,negated_conjecture,
    ( c1_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_333,negated_conjecture,
    ( c3_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_334,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_335,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_336,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_337,negated_conjecture,
    ( c3_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_339,negated_conjecture,
    ( c3_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_340,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_341,negated_conjecture,
    ( c1_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a760) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a760) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a760) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a731) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a731) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a711) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a710) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a703) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a703) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a702) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a700) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a700) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a696) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a688) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a683) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a681) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a680) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a680) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a679) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a675) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a674) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a673) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a673) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a673) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a672) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a672) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a672) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_381,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a670) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_382,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a670) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_383,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a669) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_384,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a669) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_385,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a668) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_386,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a668) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp2
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp28
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp13
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp9
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp9
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp29
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp6
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp28
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp24
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp9
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_491,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(prop_impl_just,[status(thm)],[c_291,c_283,c_267,c_254]) ).

tcf(c_533,plain,
    ( ~ c0_1(a760)
    | ~ hskp25 ),
    inference(prop_impl_just,[status(thm)],[c_344]) ).

tcf(c_534,plain,
    ( ~ hskp25
    | ~ c0_1(a760) ),
    inference(renaming,[status(thm)],[c_533]) ).

tcf(c_535,plain,
    ( ~ c1_1(a760)
    | ~ hskp25 ),
    inference(prop_impl_just,[status(thm)],[c_345]) ).

tcf(c_536,plain,
    ( ~ hskp25
    | ~ c1_1(a760) ),
    inference(renaming,[status(thm)],[c_535]) ).

tcf(c_537,plain,
    ( ~ c3_1(a760)
    | ~ hskp25 ),
    inference(prop_impl_just,[status(thm)],[c_346]) ).

tcf(c_538,plain,
    ( ~ hskp25
    | ~ c3_1(a760) ),
    inference(renaming,[status(thm)],[c_537]) ).

tcf(c_543,plain,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    inference(prop_impl_just,[status(thm)],[c_347]) ).

tcf(c_544,plain,
    ( ~ hskp24
    | ~ c1_1(a731) ),
    inference(renaming,[status(thm)],[c_543]) ).

tcf(c_545,plain,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    inference(prop_impl_just,[status(thm)],[c_348]) ).

tcf(c_546,plain,
    ( ~ hskp24
    | ~ c3_1(a731) ),
    inference(renaming,[status(thm)],[c_545]) ).

tcf(c_607,plain,
    ( c3_1(a702)
    | ~ hskp16 ),
    inference(prop_impl_just,[status(thm)],[c_320]) ).

tcf(c_987,plain,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_491,c_291,c_283,c_267,c_254]) ).

tcf(c_989,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp2
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_387,c_291,c_283,c_267,c_254,c_387]) ).

tcf(c_998,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp28
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_291,c_283,c_267,c_254,c_390]) ).

tcf(c_1001,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp13
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_291,c_283,c_267,c_254,c_391]) ).

tcf(c_1004,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp9
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_291,c_283,c_267,c_254,c_392]) ).

tcf(c_1007,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_291,c_283,c_267,c_254,c_393]) ).

tcf(c_1022,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp9
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_291,c_283,c_267,c_254,c_398]) ).

tcf(c_1028,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_291,c_283,c_267,c_254,c_400]) ).

tcf(c_1031,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp29
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_291,c_283,c_267,c_254,c_401]) ).

tcf(c_1034,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_291,c_283,c_267,c_254,c_402]) ).

tcf(c_1037,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp6
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_291,c_283,c_267,c_254,c_403]) ).

tcf(c_1038,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp6
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_1037]) ).

tcf(c_1049,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp28
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_291,c_283,c_267,c_254,c_407]) ).

tcf(c_1050,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp28
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_1049]) ).

tcf(c_1052,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_291,c_283,c_267,c_254,c_408]) ).

tcf(c_1053,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_1052]) ).

tcf(c_1055,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp24
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_291,c_283,c_267,c_254,c_409]) ).

tcf(c_1056,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp24
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1055]) ).

tcf(c_1057,plain,
    ( hskp14
    | hskp24
    | c3_1(a668)
    | ~ c1_1(a668)
    | ~ c0_1(a668) ),
    inference(instantiation,[status(thm)],[c_1056]) ).

tcf(c_1061,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp9
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_291,c_283,c_267,c_254,c_411]) ).

tcf(c_1062,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp9
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1061]) ).

tcf(c_1067,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_291,c_283,c_267,c_254,c_413]) ).

tcf(c_1070,negated_conjecture,
    ! [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_414,c_291,c_283,c_267,c_254,c_414]) ).

tcf(c_1073,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_291,c_283,c_267,c_254,c_415]) ).

tcf(c_1074,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1073]) ).

tcf(c_1077,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_291,c_283,c_267,c_254,c_417]) ).

tcf(c_1078,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_1077]) ).

tcf(c_1079,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_291,c_283,c_267,c_254,c_418]) ).

tcf(c_1080,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_1079]) ).

tcf(c_1081,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_291,c_283,c_267,c_254,c_419]) ).

tcf(c_1082,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_1081]) ).

tcf(c_1104,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_291,c_283,c_267,c_254,c_429]) ).

tcf(c_1105,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_1104]) ).

tcf(c_1106,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_291,c_283,c_267,c_254,c_430]) ).

tcf(c_1107,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_1106]) ).

tcf(c_1116,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_291,c_283,c_267,c_254,c_435]) ).

tcf(c_1117,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1116]) ).

tcf(c_1120,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_291,c_283,c_267,c_254,c_437]) ).

tcf(c_1121,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1120]) ).

tcf(c_1122,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_438,c_987]) ).

tcf(c_1123,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1122]) ).

tcf(c_1124,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_291,c_283,c_267,c_254,c_439]) ).

tcf(c_1125,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1124]) ).

tcf(c_1127,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_291,c_283,c_267,c_254,c_440]) ).

tcf(c_1128,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1127]) ).

tcf(c_1134,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_291,c_283,c_267,c_254,c_443]) ).

tcf(c_1135,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1134]) ).

tcf(c_1137,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_291,c_283,c_267,c_254,c_444]) ).

tcf(c_1138,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1137]) ).

tcf(c_1139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_291,c_283,c_267,c_254,c_445]) ).

tcf(c_1140,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1139]) ).

tcf(c_1143,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_291,c_283,c_267,c_254,c_447]) ).

tcf(c_1144,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1143]) ).

tcf(c_1149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_450,c_291,c_283,c_267,c_254,c_450]) ).

tcf(c_1150,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1149]) ).

tcf(c_1151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_451,c_291,c_283,c_267,c_254,c_451]) ).

tcf(c_1152,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1151]) ).

tcf(c_1155,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_453,c_291,c_283,c_267,c_254,c_453,c_1135]) ).

tcf(c_1156,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1155]) ).

tcf(c_1157,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_454,c_291,c_283,c_267,c_254,c_454]) ).

tcf(c_1158,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1157]) ).

tcf(c_1159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_455,c_291,c_283,c_267,c_254,c_455]) ).

tcf(c_1160,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_1159]) ).

tcf(c_1161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_456,c_291,c_283,c_267,c_254,c_456]) ).

tcf(c_1162,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_1161]) ).

tcf(c_1901,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1162,c_1135]) ).

tcf(c_2554,plain,
    ( hskp5
    | hskp7
    | ~ c3_1(a760) ),
    inference(resolution,[status(thm)],[c_293,c_538]) ).

tcf(c_2564,plain,
    ( hskp5
    | hskp7
    | ~ c1_1(a760) ),
    inference(resolution,[status(thm)],[c_293,c_536]) ).

tcf(c_2574,plain,
    ( hskp5
    | hskp7
    | ~ c0_1(a760) ),
    inference(resolution,[status(thm)],[c_293,c_534]) ).

tcf(c_4213,plain,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | ~ c3_1(a731)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_1056,c_546]) ).

tcf(c_4214,plain,
    ( hskp14
    | c3_1(a668)
    | ~ c1_1(a668)
    | ~ c3_1(a731)
    | ~ c0_1(a668) ),
    inference(instantiation,[status(thm)],[c_4213]) ).

tcf(c_4230,plain,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | ~ c1_1(a731)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_1056,c_544]) ).

tcf(c_4231,plain,
    ( hskp14
    | c3_1(a668)
    | ~ c1_1(a668)
    | ~ c1_1(a731)
    | ~ c0_1(a668) ),
    inference(instantiation,[status(thm)],[c_4230]) ).

tcf(c_8927,plain,
    ( hskp0
    | hskp29
    | c3_1(a702) ),
    inference(resolution,[status(thm)],[c_291,c_607]) ).

tcf(c_18560,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1901]) ).

tcf(c_18561,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1901]) ).

tcf(c_18562,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1901]) ).

tcf(c_18563,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1901]) ).

tcf(c_18564,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1160]) ).

tcf(c_18565,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_1160]) ).

tcf(c_18567,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_1158]) ).

tcf(c_18568,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_1158]) ).

tcf(c_18569,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_1158]) ).

tcf(c_18571,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_1156]) ).

tcf(c_18572,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_1156]) ).

tcf(c_18573,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1156]) ).

tcf(c_18575,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_1152]) ).

tcf(c_18576,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_1152]) ).

tcf(c_18578,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_1150]) ).

tcf(c_18579,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_1150]) ).

tcf(c_18580,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_1150]) ).

tcf(c_18581,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1150]) ).

tcf(c_18585,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_1144]) ).

tcf(c_18586,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_1144]) ).

tcf(c_18587,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1144]) ).

tcf(c_18591,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1140]) ).

tcf(c_18592,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_1138]) ).

tcf(c_18593,negated_conjecture,
    ( iPr_def_30
    | iPr_def_26
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1138]) ).

tcf(c_18594,negated_conjecture,
    ( iPr_def_19
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1135]) ).

tcf(c_18599,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_1128]) ).

tcf(c_18601,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_1125]) ).

tcf(c_18603,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_1123]) ).

tcf(c_18604,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1123]) ).

tcf(c_18605,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_1121]) ).

tcf(c_18608,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1117]) ).

tcf(c_18613,negated_conjecture,
    ( iPr_def_34
    | iPr_def_23
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1107]) ).

tcf(c_18614,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_1105]) ).

tcf(c_18615,negated_conjecture,
    ( iPr_def_37
    | iPr_def_35
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1105]) ).

tcf(c_18628,negated_conjecture,
    ( iPr_def_34
    | iPr_def_21
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1082]) ).

tcf(c_18629,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1080]) ).

tcf(c_18630,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1078]) ).

tcf(c_18632,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_1074]) ).

tcf(c_18633,negated_conjecture,
    ( iPr_def_41
    | iPr_def_20
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1074]) ).

tcf(c_18634,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_1070]) ).

tcf(c_18635,negated_conjecture,
    ( iPr_def_42
    | iPr_def_18
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1070]) ).

tcf(c_18636,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_43
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_1067]) ).

tcf(c_18637,negated_conjecture,
    ( iPr_def_43
    | iPr_def_23
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1067]) ).

tcf(c_18639,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_44
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_44])],[c_1062]) ).

tcf(c_18640,negated_conjecture,
    ( iPr_def_44
    | hskp5
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1062]) ).

tcf(c_18642,negated_conjecture,
    ( iPr_def_14
    | hskp14
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1056]) ).

tcf(c_18643,negated_conjecture,
    ( iPr_def_26
    | hskp14
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1053]) ).

tcf(c_18644,negated_conjecture,
    ( iPr_def_26
    | hskp10
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1050]) ).

tcf(c_18648,negated_conjecture,
    ( iPr_def_15
    | hskp4
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1038]) ).

tcf(c_18649,negated_conjecture,
    ( iPr_def_23
    | hskp1
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1034]) ).

tcf(c_18650,negated_conjecture,
    ( iPr_def_13
    | hskp15
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1031]) ).

tcf(c_18651,negated_conjecture,
    ( iPr_def_13
    | hskp19
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1028]) ).

tcf(c_18653,negated_conjecture,
    ( iPr_def_36
    | hskp2
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1022]) ).

tcf(c_18658,negated_conjecture,
    ( iPr_def_30
    | hskp2
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1007]) ).

tcf(c_18659,negated_conjecture,
    ( iPr_def_30
    | hskp8
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1004]) ).

tcf(c_18660,negated_conjecture,
    ( iPr_def_42
    | hskp9
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1001]) ).

tcf(c_18661,negated_conjecture,
    ( iPr_def_42
    | hskp7
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_998]) ).

tcf(c_18664,negated_conjecture,
    ( iPr_def_41
    | hskp1
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_989]) ).

tcf(c_18678,plain,
    ( c3_1(a668)
    | c0_1(a668)
    | ~ iPr_def_27
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_18586]) ).

tcf(c_18680,plain,
    ( c3_1(a668)
    | c2_1(a668)
    | ~ iPr_def_33
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_18599]) ).

tcf(c_18725,plain,
    ( c0_1(a679)
    | ~ iPr_def_15
    | ~ c1_1(a679)
    | ~ c3_1(a679) ),
    inference(instantiation,[status(thm)],[c_18567]) ).

tcf(c_18733,plain,
    ( c2_1(a678)
    | ~ iPr_def_20
    | ~ c1_1(a678)
    | ~ c0_1(a678) ),
    inference(instantiation,[status(thm)],[c_18575]) ).

tcf(c_18734,plain,
    ( c2_1(a711)
    | ~ iPr_def_20
    | ~ c1_1(a711)
    | ~ c0_1(a711) ),
    inference(instantiation,[status(thm)],[c_18575]) ).

tcf(c_18739,plain,
    ( c2_1(a678)
    | ~ iPr_def_22
    | ~ c3_1(a678)
    | ~ c0_1(a678) ),
    inference(instantiation,[status(thm)],[c_18578]) ).

tcf(c_18745,plain,
    ( c2_1(a683)
    | ~ iPr_def_22
    | ~ c3_1(a683)
    | ~ c0_1(a683) ),
    inference(instantiation,[status(thm)],[c_18578]) ).

tcf(c_18752,plain,
    ( c0_1(a681)
    | ~ iPr_def_11
    | ~ c1_1(a681)
    | ~ c2_1(a681) ),
    inference(instantiation,[status(thm)],[c_18561]) ).

tcf(c_18758,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a681)
    | ~ c3_1(a681)
    | ~ c2_1(a681) ),
    inference(instantiation,[status(thm)],[c_18562]) ).

tcf(c_18784,plain,
    ( ~ iPr_def_19
    | ~ c3_1(a702)
    | ~ c2_1(a702)
    | ~ c0_1(a702) ),
    inference(instantiation,[status(thm)],[c_18572]) ).

tcf(c_18796,plain,
    ( c2_1(a678)
    | ~ iPr_def_26
    | ~ c1_1(a678)
    | ~ c3_1(a678) ),
    inference(instantiation,[status(thm)],[c_18585]) ).

tcf(c_18803,plain,
    ( c2_1(a675)
    | ~ iPr_def_26
    | ~ c1_1(a675)
    | ~ c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_18585]) ).

tcf(c_18815,plain,
    ( c1_1(a700)
    | c0_1(a700)
    | ~ iPr_def_30
    | ~ c2_1(a700) ),
    inference(instantiation,[status(thm)],[c_18592]) ).

tcf(c_18825,plain,
    ( c1_1(a696)
    | c3_1(a696)
    | ~ iPr_def_23
    | ~ c2_1(a696) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

tcf(c_18827,plain,
    ( c1_1(a680)
    | c3_1(a680)
    | ~ iPr_def_23
    | ~ c2_1(a680) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

tcf(c_18847,plain,
    ( c1_1(a681)
    | c0_1(a681)
    | ~ iPr_def_21
    | ~ c3_1(a681) ),
    inference(instantiation,[status(thm)],[c_18576]) ).

tcf(c_18868,plain,
    ( ~ iPr_def_17
    | ~ c1_1(a678)
    | ~ c3_1(a678)
    | ~ c0_1(a678) ),
    inference(instantiation,[status(thm)],[c_18569]) ).

tcf(c_18895,plain,
    ( c1_1(a670)
    | c0_1(a670)
    | ~ iPr_def_21
    | ~ c3_1(a670) ),
    inference(instantiation,[status(thm)],[c_18576]) ).

tcf(c_18897,plain,
    ( c3_1(a700)
    | c0_1(a700)
    | ~ iPr_def_27
    | ~ c1_1(a700) ),
    inference(instantiation,[status(thm)],[c_18586]) ).

tcf(c_18900,plain,
    ( c3_1(a673)
    | c0_1(a673)
    | ~ iPr_def_27
    | ~ c1_1(a673) ),
    inference(instantiation,[status(thm)],[c_18586]) ).

tcf(c_18919,plain,
    ( c3_1(a696)
    | ~ iPr_def_37
    | ~ c1_1(a696)
    | ~ c2_1(a696) ),
    inference(instantiation,[status(thm)],[c_18614]) ).

tcf(c_18927,plain,
    ( c1_1(a673)
    | c2_1(a673)
    | c0_1(a673)
    | ~ iPr_def_41 ),
    inference(instantiation,[status(thm)],[c_18632]) ).

tcf(c_18941,plain,
    ( ~ iPr_def_19
    | ~ c3_1(a676)
    | ~ c2_1(a676)
    | ~ c0_1(a676) ),
    inference(instantiation,[status(thm)],[c_18572]) ).

tcf(c_18943,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a676)
    | ~ c3_1(a676)
    | ~ c2_1(a676) ),
    inference(instantiation,[status(thm)],[c_18562]) ).

tcf(c_18953,plain,
    ( c1_1(a680)
    | c3_1(a680)
    | ~ iPr_def_13
    | ~ c0_1(a680) ),
    inference(instantiation,[status(thm)],[c_18564]) ).

tcf(c_18977,plain,
    ( c1_1(a681)
    | ~ iPr_def_34
    | ~ c3_1(a681)
    | ~ c2_1(a681) ),
    inference(instantiation,[status(thm)],[c_18601]) ).

tcf(c_19005,plain,
    ( c3_1(a676)
    | ~ iPr_def_24
    | ~ c2_1(a676)
    | ~ c0_1(a676) ),
    inference(instantiation,[status(thm)],[c_18580]) ).

tcf(c_19010,plain,
    ( c3_1(a696)
    | ~ iPr_def_24
    | ~ c2_1(a696)
    | ~ c0_1(a696) ),
    inference(instantiation,[status(thm)],[c_18580]) ).

tcf(c_19012,plain,
    ( c3_1(a680)
    | ~ iPr_def_24
    | ~ c2_1(a680)
    | ~ c0_1(a680) ),
    inference(instantiation,[status(thm)],[c_18580]) ).

tcf(c_19026,plain,
    ( c0_1(a703)
    | ~ iPr_def_15
    | ~ c1_1(a703)
    | ~ c3_1(a703) ),
    inference(instantiation,[status(thm)],[c_18567]) ).

tcf(c_19058,plain,
    ( ~ iPr_def_19
    | ~ c3_1(a678)
    | ~ c2_1(a678)
    | ~ c0_1(a678) ),
    inference(instantiation,[status(thm)],[c_18572]) ).

tcf(c_19066,plain,
    ( ~ iPr_def_19
    | ~ c3_1(a674)
    | ~ c2_1(a674)
    | ~ c0_1(a674) ),
    inference(instantiation,[status(thm)],[c_18572]) ).

tcf(c_19182,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a678)
    | ~ c3_1(a678)
    | ~ c2_1(a678) ),
    inference(instantiation,[status(thm)],[c_18562]) ).

tcf(c_19206,plain,
    ( ~ iPr_def_10
    | ~ hskp29
    | ~ c3_1(a725) ),
    inference(superposition,[status(thm)],[c_298,c_18560]) ).

tcf(c_19207,plain,
    ( ~ iPr_def_10
    | ~ hskp27
    | ~ c3_1(a676) ),
    inference(superposition,[status(thm)],[c_305,c_18560]) ).

tcf(c_19210,plain,
    ( ~ iPr_def_10
    | ~ hskp19
    | ~ c3_1(a710) ),
    inference(superposition,[status(thm)],[c_316,c_18560]) ).

tcf(c_19211,plain,
    ( ~ iPr_def_10
    | ~ hskp16
    | ~ c3_1(a702) ),
    inference(superposition,[status(thm)],[c_319,c_18560]) ).

tcf(c_19214,plain,
    ( ~ iPr_def_10
    | ~ hskp10
    | ~ c3_1(a681) ),
    inference(superposition,[status(thm)],[c_329,c_18560]) ).

tcf(c_19231,plain,
    ( c1_1(a672)
    | c2_1(a672)
    | ~ iPr_def_35
    | ~ c3_1(a672) ),
    inference(instantiation,[status(thm)],[c_18603]) ).

tcf(c_19237,plain,
    ( ~ iPr_def_10
    | ~ hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_19206,c_299,c_19206]) ).

tcf(c_19239,plain,
    ( iPr_def_13
    | hskp15
    | ~ iPr_def_10 ),
    inference(superposition,[status(thm)],[c_18650,c_19237]) ).

tcf(c_19240,plain,
    ( hskp0
    | hskp16
    | ~ iPr_def_10 ),
    inference(superposition,[status(thm)],[c_291,c_19237]) ).

tcf(c_19273,plain,
    ( c1_1(a760)
    | c3_1(a760)
    | c0_1(a760)
    | ~ iPr_def_43 ),
    inference(instantiation,[status(thm)],[c_18636]) ).

tcf(c_19313,plain,
    ( c1_1(a673)
    | c0_1(a673)
    | ~ iPr_def_41
    | ~ hskp5 ),
    inference(superposition,[status(thm)],[c_18632,c_374]) ).

tcf(c_19329,plain,
    ( c3_1(a673)
    | c2_1(a673)
    | ~ iPr_def_33
    | ~ c1_1(a673) ),
    inference(instantiation,[status(thm)],[c_18599]) ).

tcf(c_19364,plain,
    ( c2_1(a760)
    | c0_1(a760)
    | ~ iPr_def_42
    | ~ hskp25 ),
    inference(superposition,[status(thm)],[c_18634,c_346]) ).

tcf(c_19372,plain,
    ( c2_1(a673)
    | c0_1(a673)
    | ~ iPr_def_42
    | ~ hskp5 ),
    inference(superposition,[status(thm)],[c_18634,c_375]) ).

tcf(c_19400,plain,
    ( c1_1(a680)
    | c0_1(a680)
    | ~ iPr_def_43
    | ~ hskp9 ),
    inference(superposition,[status(thm)],[c_18636,c_369]) ).

tcf(c_19430,plain,
    ( c1_1(a731)
    | c3_1(a731)
    | ~ iPr_def_13
    | ~ hskp24 ),
    inference(superposition,[status(thm)],[c_307,c_18564]) ).

tcf(c_19449,plain,
    ( c3_1(a710)
    | c0_1(a710)
    | ~ iPr_def_16
    | ~ hskp19 ),
    inference(superposition,[status(thm)],[c_316,c_18568]) ).

tcf(c_19454,plain,
    ( c3_1(a680)
    | c0_1(a680)
    | ~ iPr_def_16
    | ~ hskp9 ),
    inference(superposition,[status(thm)],[c_331,c_18568]) ).

tcf(c_19458,plain,
    ( c1_1(a760)
    | c3_1(a760)
    | ~ iPr_def_23
    | ~ c2_1(a760) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

tcf(c_19489,plain,
    ( hskp0
    | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_19240,c_291,c_8927,c_19211,c_19237]) ).

tcf(c_19499,plain,
    ( ~ c3_1(a676)
    | ~ hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_19207,c_305,c_304,c_303,c_18594,c_18943,c_18941]) ).

tcf(c_19500,plain,
    ( ~ hskp27
    | ~ c3_1(a676) ),
    inference(renaming,[status(thm)],[c_19499]) ).

tcf(c_19517,plain,
    ( ~ iPr_def_10
    | ~ hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_19210,c_341,c_330,c_386,c_385,c_354,c_18629,c_18680,c_19214,c_19210,c_19449,c_19489]) ).

tcf(c_19533,plain,
    ( iPr_def_13
    | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_19239,c_293,c_335,c_334,c_321,c_314,c_313,c_302,c_301,c_300,c_374,c_373,c_371,c_361,c_360,c_353,c_2554,c_2564,c_2574,c_18594,c_18587,c_18593,c_18637,c_18651,c_18661,c_18734,c_18796,c_18803,c_18815,c_18897,c_19058,c_19182,c_19239,c_19273,c_19372,c_19364,c_19458,c_19517]) ).

tcf(c_19555,plain,
    ( c2_1(a703)
    | c0_1(a703)
    | ~ iPr_def_18
    | ~ hskp17 ),
    inference(superposition,[status(thm)],[c_318,c_18571]) ).

tcf(c_19572,plain,
    ( c3_1(a688)
    | ~ iPr_def_14
    | ~ c1_1(a688)
    | ~ c0_1(a688) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

tcf(c_19588,plain,
    ( c1_1(a670)
    | c0_1(a670)
    | ~ iPr_def_21
    | ~ hskp2 ),
    inference(superposition,[status(thm)],[c_339,c_18576]) ).

tcf(c_19623,plain,
    ( c1_1(a669)
    | c2_1(a669)
    | ~ iPr_def_36
    | ~ c0_1(a669) ),
    inference(instantiation,[status(thm)],[c_18605]) ).

tcf(c_19642,plain,
    ( c1_1(a696)
    | c3_1(a696)
    | ~ iPr_def_23
    | ~ hskp14 ),
    inference(superposition,[status(thm)],[c_323,c_18579]) ).

tcf(c_19676,plain,
    ( c1_1(a670)
    | c0_1(a670)
    | ~ iPr_def_30
    | ~ c2_1(a670) ),
    inference(instantiation,[status(thm)],[c_18592]) ).

tcf(c_19703,plain,
    ( c3_1(a672)
    | c2_1(a672)
    | c0_1(a672)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_18634]) ).

tcf(c_19723,plain,
    ( c3_1(a703)
    | c0_1(a703)
    | ~ iPr_def_27
    | ~ hskp17 ),
    inference(superposition,[status(thm)],[c_318,c_18586]) ).

tcf(c_19734,plain,
    ( ~ iPr_def_44
    | ~ c1_1(a696)
    | ~ c2_1(a696)
    | ~ c0_1(a696) ),
    inference(instantiation,[status(thm)],[c_18639]) ).

tcf(c_19794,plain,
    ( c1_1(a702)
    | c0_1(a702)
    | ~ iPr_def_30
    | ~ hskp16 ),
    inference(superposition,[status(thm)],[c_319,c_18592]) ).

tcf(c_19797,plain,
    ( c1_1(a681)
    | c0_1(a681)
    | ~ iPr_def_30
    | ~ hskp10 ),
    inference(superposition,[status(thm)],[c_329,c_18592]) ).

tcf(c_19798,plain,
    ( c1_1(a680)
    | c0_1(a680)
    | ~ iPr_def_30
    | ~ hskp9 ),
    inference(superposition,[status(thm)],[c_331,c_18592]) ).

tcf(c_19838,plain,
    ( c1_1(a674)
    | c2_1(a674)
    | ~ iPr_def_35
    | ~ hskp6 ),
    inference(superposition,[status(thm)],[c_337,c_18603]) ).

tcf(c_19839,plain,
    ( c1_1(a670)
    | c2_1(a670)
    | ~ iPr_def_35
    | ~ hskp2 ),
    inference(superposition,[status(thm)],[c_339,c_18603]) ).

tcf(c_19896,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19838,c_19839,c_19794,c_19797,c_19798,c_19734,c_19723,c_19703,c_19676,c_19642,c_19623,c_19588,c_19572,c_19555,c_19533,c_19500,c_19489,c_19458,c_19454,c_19430,c_19400,c_19364,c_19372,c_19329,c_19313,c_19273,c_19231,c_19214,c_19182,c_19066,c_19058,c_19026,c_19012,c_19010,c_19005,c_18977,c_18953,c_18927,c_18919,c_18900,c_18895,c_18868,c_18847,c_18827,c_18825,c_18803,c_18796,c_18784,c_18758,c_18752,c_18745,c_18739,c_18733,c_18725,c_18680,c_18678,c_18664,c_18661,c_18660,c_18659,c_18658,c_18653,c_18649,c_18648,c_18644,c_18643,c_18642,c_18640,c_18637,c_18635,c_18633,c_18630,c_18629,c_18628,c_18615,c_18613,c_18608,c_18604,c_18593,c_18591,c_18587,c_18581,c_18573,c_18563,c_18594,c_4231,c_4214,c_2574,c_2564,c_2554,c_1057,c_347,c_348,c_357,c_358,c_359,c_362,c_363,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_381,c_382,c_383,c_384,c_385,c_386,c_300,c_301,c_302,c_303,c_305,c_318,c_319,c_320,c_322,c_323,c_324,c_325,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_339,c_340,c_341,c_293]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n018.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 01:40:34 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running EPR theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 3.85/1.14  % SZS status Started for theBenchmark.p
% 3.85/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.14  
% 3.85/1.14  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.85/1.14  
% 3.85/1.14  % ------  iProver source info
% 3.85/1.14  
% 3.85/1.14  % git: date: 2026-07-19 20:42:38 +0200
% 3.85/1.14  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.85/1.14  % git: non_committed_changes: false
% 3.85/1.14  
% 3.85/1.14  % ------ Parsing...% successful
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.85/1.14  
% 3.85/1.14  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.85/1.14  
% 3.85/1.14  % ------ Preprocessing... gs_s  sp: 127 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.85/1.14  % ------ Proving...
% 3.85/1.14  % ------ Problem Properties 
% 3.85/1.14  
% 3.85/1.14  % 
% 3.85/1.14  % clauses                               207
% 3.85/1.14  % conjectures                           200
% 3.85/1.14  % EPR                                   207
% 3.85/1.14  % Horn                                  109
% 3.85/1.14  % unary                                 0
% 3.85/1.14  % binary                                92
% 3.85/1.14  % lits                                  561
% 3.85/1.14  % lits eq                               0
% 3.85/1.14  % fd_pure                               0
% 3.85/1.14  % fd_pseudo                             0
% 3.85/1.14  % fd_cond                               0
% 3.85/1.14  % fd_pseudo_cond                        0
% 3.85/1.14  % AC symbols                            0
% 3.85/1.14  
% 3.85/1.14  % ------ Input Options Time Limit: Unbounded
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  % ------ 
% 3.85/1.14  % Current options:
% 3.85/1.14  % ------ 
% 3.85/1.14  
% 3.85/1.14  
% 3.85/1.14  % 
% 3.85/1.14  
% 3.85/1.14  % ------ Proving...
% 3.85/1.14  % 
% 3.85/1.14  
% 3.85/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.14  
% 3.85/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.15  
% 3.85/1.15  
%------------------------------------------------------------------------------