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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN500-1 : 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 : n005.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 03:40:34 PM UTC 2026

% Result   : Unsatisfiable 4.57s 1.19s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  119
% Syntax   : Number of formulae    :  479 (   2 unt;   0 def)
%            Number of atoms       : 2180 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2783 (1082   ~;1701   |;   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  :   59 (  58 usr;  55 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  384 (   0 sgn 384   !;   0   ?; 292   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp9
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f9,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f31,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f34,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( hskp4
    | hskp27
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp19
    | hskp22
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f45,negated_conjecture,
    ( c1_1(a13)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c2_1(a13)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c3_1(a13)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c0_1(a4)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c1_1(a4)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c3_1(a4)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c0_1(a73)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c2_1(a73)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c1_1(a64)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c3_1(a64)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( c2_1(a63)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( c1_1(a48)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c2_1(a47)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c3_1(a47)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f61,negated_conjecture,
    ( c2_1(a40)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f64,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c0_1(a32)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c2_1(a32)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f69,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c3_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f78,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f92,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f99,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f117,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp26
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( hskp27
      | hskp1
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp0
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp9
      | hskp11
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp22
      | hskp24
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp26
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp21
      | hskp11
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp25
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

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

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f168,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp21
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

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

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

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

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

fof(f193,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_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)
      | c1_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

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)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

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

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

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

tcf(c_249,negated_conjecture,
    ( hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_257,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_268,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_279,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_282,negated_conjecture,
    ( hskp22
    | hskp25
    | hskp9 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_283,negated_conjecture,
    ( hskp1
    | hskp4
    | hskp27 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_284,negated_conjecture,
    ( hskp17
    | hskp19
    | hskp22 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_285,negated_conjecture,
    ( hskp0
    | hskp11
    | hskp22 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_286,negated_conjecture,
    ( hskp11
    | hskp12
    | hskp21 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_293,negated_conjecture,
    ( c1_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_294,negated_conjecture,
    ( c2_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_295,negated_conjecture,
    ( c3_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_296,negated_conjecture,
    ( c0_1(a4)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_297,negated_conjecture,
    ( c1_1(a4)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_298,negated_conjecture,
    ( c3_1(a4)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_299,negated_conjecture,
    ( c0_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_300,negated_conjecture,
    ( c2_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_301,negated_conjecture,
    ( c1_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_302,negated_conjecture,
    ( c3_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_303,negated_conjecture,
    ( c2_1(a63)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_304,negated_conjecture,
    ( c1_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_305,negated_conjecture,
    ( c2_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_306,negated_conjecture,
    ( c3_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_309,negated_conjecture,
    ( c2_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_312,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_313,negated_conjecture,
    ( c0_1(a32)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_314,negated_conjecture,
    ( c2_1(a32)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_317,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_318,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_319,negated_conjecture,
    ( c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_320,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_321,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_326,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_327,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_328,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_329,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_330,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_331,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_332,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a64) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a63) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_335,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a63) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a32) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a18) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp26
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp13
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp9
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp24
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp26
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp21
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

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

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

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

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

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

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

tcf(c_477,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_279,c_285,c_279,c_268,c_257]) ).

tcf(c_537,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_381,c_285,c_279,c_268,c_257,c_381]) ).

tcf(c_546,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_378,c_285,c_279,c_268,c_257,c_378]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp26
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_285,c_279,c_268,c_257,c_377]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp24
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_285,c_279,c_268,c_257,c_391]) ).

tcf(c_555,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_285,c_279,c_268,c_257,c_390]) ).

tcf(c_558,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp9
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_285,c_279,c_268,c_257,c_389]) ).

tcf(c_567,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp13
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_285,c_279,c_268,c_257,c_386]) ).

tcf(c_570,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_285,c_279,c_268,c_257,c_385]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( hskp25
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_285,c_279,c_268,c_257,c_401]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_584,plain,
    ( hskp25
    | ~ c1_1(a1)
    | ~ c3_1(a1)
    | ~ c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_583]) ).

tcf(c_594,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp21
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_285,c_279,c_268,c_257,c_397]) ).

tcf(c_595,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp21
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_594]) ).

tcf(c_603,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_285,c_279,c_268,c_257,c_394]) ).

tcf(c_604,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_603]) ).

tcf(c_606,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp17
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_285,c_279,c_268,c_257,c_393]) ).

tcf(c_607,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp17
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_606]) ).

tcf(c_609,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp26
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_285,c_279,c_268,c_257,c_392]) ).

tcf(c_610,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp26
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_609]) ).

tcf(c_612,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_285,c_279,c_268,c_257,c_402]) ).

tcf(c_614,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_285,c_279,c_268,c_257,c_407]) ).

tcf(c_615,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_614]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_285,c_279,c_268,c_257,c_405]) ).

tcf(c_619,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

tcf(c_621,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_285,c_279,c_268,c_257,c_404]) ).

tcf(c_622,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_621]) ).

tcf(c_623,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_285,c_279,c_268,c_257,c_403]) ).

tcf(c_624,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_623]) ).

tcf(c_627,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_285,c_279,c_268,c_257,c_416]) ).

tcf(c_628,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_627]) ).

tcf(c_633,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_285,c_279,c_268,c_257,c_413]) ).

tcf(c_634,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_633]) ).

tcf(c_635,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_285,c_279,c_268,c_257,c_412]) ).

tcf(c_636,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_635]) ).

tcf(c_637,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_285,c_279,c_268,c_257,c_411]) ).

tcf(c_638,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_637]) ).

tcf(c_639,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_285,c_279,c_268,c_257,c_410]) ).

tcf(c_640,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_639]) ).

tcf(c_644,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_285,c_279,c_268,c_257,c_408]) ).

tcf(c_645,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_644]) ).

tcf(c_648,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_285,c_279,c_268,c_257,c_424]) ).

tcf(c_649,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_648]) ).

tcf(c_652,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_285,c_279,c_268,c_257,c_422]) ).

tcf(c_653,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_652]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_285,c_279,c_268,c_257,c_418]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_285,c_279,c_268,c_257,c_428]) ).

tcf(c_668,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_667]) ).

tcf(c_669,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_285,c_279,c_268,c_257,c_431]) ).

tcf(c_670,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_669]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_430,c_477]) ).

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

tcf(c_673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_285,c_279,c_268,c_257,c_429]) ).

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

tcf(c_675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_285,c_279,c_268,c_257,c_435]) ).

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

tcf(c_677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_285,c_279,c_268,c_257,c_434]) ).

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

tcf(c_679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_285,c_279,c_268,c_257,c_433]) ).

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

tcf(c_685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_285,c_279,c_268,c_257,c_442]) ).

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

tcf(c_687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_285,c_279,c_268,c_257,c_441]) ).

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

tcf(c_691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_285,c_279,c_268,c_257,c_439]) ).

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

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_285,c_279,c_268,c_257,c_438]) ).

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

tcf(c_695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_285,c_279,c_268,c_257,c_437]) ).

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

tcf(c_697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_285,c_279,c_268,c_257,c_436]) ).

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

tcf(c_699,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_285,c_279,c_268,c_257,c_447,c_448]) ).

tcf(c_701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_285,c_279,c_268,c_257,c_446]) ).

tcf(c_702,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_701]) ).

tcf(c_705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_285,c_279,c_268,c_257,c_444]) ).

tcf(c_706,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_705]) ).

tcf(c_707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_699]) ).

tcf(c_708,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_707]) ).

tcf(c_2348,plain,
    ( hskp22
    | hskp9
    | ~ c3_1(a73) ),
    inference(resolution,[status(thm)],[c_282,c_332]) ).

tcf(c_2358,plain,
    ( hskp22
    | hskp9
    | c2_1(a73) ),
    inference(resolution,[status(thm)],[c_282,c_300]) ).

tcf(c_2368,plain,
    ( hskp22
    | hskp9
    | c0_1(a73) ),
    inference(resolution,[status(thm)],[c_282,c_299]) ).

tcf(c_2487,plain,
    ( hskp9
    | c2_1(a13) ),
    inference(resolution,[status(thm)],[c_249,c_294]) ).

tcf(c_2494,plain,
    ( hskp9
    | c1_1(a13) ),
    inference(resolution,[status(thm)],[c_249,c_293]) ).

tcf(c_3207,plain,
    ( hskp19
    | hskp22
    | ~ c1_1(a33) ),
    inference(resolution,[status(thm)],[c_284,c_343]) ).

tcf(c_3217,plain,
    ( hskp19
    | hskp22
    | c0_1(a33) ),
    inference(resolution,[status(thm)],[c_284,c_312]) ).

tcf(c_3581,plain,
    ( hskp27
    | ~ c2_1(a15) ),
    inference(resolution,[status(thm)],[c_249,c_359]) ).

tcf(c_3588,plain,
    ( hskp27
    | ~ c1_1(a15) ),
    inference(resolution,[status(thm)],[c_249,c_358]) ).

tcf(c_3595,plain,
    ( hskp27
    | ~ c0_1(a15) ),
    inference(resolution,[status(thm)],[c_249,c_357]) ).

tcf(c_5294,plain,
    ( hskp11
    | hskp22
    | ~ c2_1(a1) ),
    inference(resolution,[status(thm)],[c_285,c_376]) ).

tcf(c_5304,plain,
    ( hskp11
    | hskp22
    | c3_1(a1) ),
    inference(resolution,[status(thm)],[c_285,c_331]) ).

tcf(c_5314,plain,
    ( hskp11
    | hskp22
    | c1_1(a1) ),
    inference(resolution,[status(thm)],[c_285,c_330]) ).

tcf(c_7139,plain,
    ( hskp17
    | hskp22
    | ~ c3_1(a40) ),
    inference(resolution,[status(thm)],[c_284,c_341]) ).

tcf(c_7149,plain,
    ( hskp17
    | hskp22
    | ~ c0_1(a40) ),
    inference(resolution,[status(thm)],[c_284,c_340]) ).

tcf(c_7159,plain,
    ( hskp17
    | hskp22
    | c2_1(a40) ),
    inference(resolution,[status(thm)],[c_284,c_309]) ).

tcf(c_7862,plain,
    ( hskp11
    | hskp21
    | ~ c3_1(a20) ),
    inference(resolution,[status(thm)],[c_286,c_352]) ).

tcf(c_7872,plain,
    ( hskp11
    | hskp21
    | ~ c2_1(a20) ),
    inference(resolution,[status(thm)],[c_286,c_351]) ).

tcf(c_7882,plain,
    ( hskp11
    | hskp21
    | ~ c0_1(a20) ),
    inference(resolution,[status(thm)],[c_286,c_350]) ).

tcf(c_8307,plain,
    ( hskp4
    | hskp27
    | ~ c1_1(a2) ),
    inference(resolution,[status(thm)],[c_283,c_374]) ).

tcf(c_8317,plain,
    ( hskp4
    | hskp27
    | c0_1(a2) ),
    inference(resolution,[status(thm)],[c_283,c_329]) ).

tcf(c_15946,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_706]) ).

tcf(c_15947,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_706]) ).

tcf(c_15948,negated_conjecture,
    ! [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_706]) ).

tcf(c_15950,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_702]) ).

tcf(c_15951,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_702]) ).

tcf(c_15952,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_702]) ).

tcf(c_15953,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_702]) ).

tcf(c_15954,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_708]) ).

tcf(c_15957,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_698]) ).

tcf(c_15958,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_698]) ).

tcf(c_15959,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).

tcf(c_15960,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_696]) ).

tcf(c_15961,negated_conjecture,
    ( iPr_def_20
    | iPr_def_13
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).

tcf(c_15962,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_694]) ).

tcf(c_15963,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_694]) ).

tcf(c_15964,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_694]) ).

tcf(c_15965,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).

tcf(c_15966,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_692]) ).

tcf(c_15967,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_692]) ).

tcf(c_15968,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_692]) ).

tcf(c_15969,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).

tcf(c_15973,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_688]) ).

tcf(c_15974,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_688]) ).

tcf(c_15975,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_688]) ).

tcf(c_15976,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_686]) ).

tcf(c_15977,negated_conjecture,
    ( iPr_def_31
    | iPr_def_23
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).

tcf(c_15980,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_680]) ).

tcf(c_15981,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_15982,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_678]) ).

tcf(c_15983,negated_conjecture,
    ( iPr_def_33
    | iPr_def_22
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).

tcf(c_15984,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).

tcf(c_15985,negated_conjecture,
    ( iPr_def_24
    | iPr_def_22
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).

tcf(c_15986,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_672]) ).

tcf(c_15987,negated_conjecture,
    ( iPr_def_34
    | iPr_def_14
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).

tcf(c_15988,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_670]) ).

tcf(c_15989,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_670]) ).

tcf(c_15990,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_670]) ).

tcf(c_15992,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_668]) ).

tcf(c_15993,negated_conjecture,
    ( iPr_def_38
    | iPr_def_24
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).

tcf(c_15998,negated_conjecture,
    ( iPr_def_36
    | iPr_def_15
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).

tcf(c_16002,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_653]) ).

tcf(c_16004,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_649]) ).

tcf(c_16007,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_645]) ).

tcf(c_16008,negated_conjecture,
    ( iPr_def_42
    | iPr_def_22
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).

tcf(c_16010,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_43
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_640]) ).

tcf(c_16012,negated_conjecture,
    ( iPr_def_43
    | iPr_def_23
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_638]) ).

tcf(c_16013,negated_conjecture,
    ( iPr_def_41
    | iPr_def_36
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_636]) ).

tcf(c_16014,negated_conjecture,
    ( iPr_def_42
    | iPr_def_37
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_634]) ).

tcf(c_16017,negated_conjecture,
    ( iPr_def_37
    | iPr_def_11
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).

tcf(c_16019,negated_conjecture,
    ( iPr_def_42
    | iPr_def_38
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).

tcf(c_16020,negated_conjecture,
    ( iPr_def_38
    | iPr_def_32
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).

tcf(c_16021,negated_conjecture,
    ( iPr_def_36
    | iPr_def_33
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).

tcf(c_16023,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_615]) ).

tcf(c_16024,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).

tcf(c_16025,negated_conjecture,
    ( iPr_def_42
    | hskp16
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).

tcf(c_16026,negated_conjecture,
    ( iPr_def_42
    | hskp5
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).

tcf(c_16027,negated_conjecture,
    ( iPr_def_42
    | hskp10
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).

tcf(c_16030,negated_conjecture,
    ( iPr_def_16
    | hskp11
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).

tcf(c_16037,negated_conjecture,
    ( iPr_def_33
    | hskp11
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).

tcf(c_16038,negated_conjecture,
    ( iPr_def_33
    | hskp0
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_567]) ).

tcf(c_16041,negated_conjecture,
    ( iPr_def_37
    | hskp11
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).

tcf(c_16042,negated_conjecture,
    ( iPr_def_24
    | hskp23
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).

tcf(c_16043,negated_conjecture,
    ( iPr_def_24
    | hskp22
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).

tcf(c_16044,negated_conjecture,
    ( iPr_def_38
    | hskp3
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).

tcf(c_16045,negated_conjecture,
    ( iPr_def_34
    | hskp1
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).

tcf(c_16066,plain,
    ( c0_1(a1)
    | ~ iPr_def_10
    | ~ c1_1(a1)
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_15946]) ).

tcf(c_16075,plain,
    ( c2_1(a1)
    | ~ iPr_def_32
    | ~ c1_1(a1)
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

tcf(c_16078,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a1)
    | ~ c3_1(a1)
    | ~ c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_15952]) ).

tcf(c_16088,plain,
    ( c0_1(a19)
    | ~ iPr_def_10
    | ~ c1_1(a19)
    | ~ c3_1(a19) ),
    inference(instantiation,[status(thm)],[c_15946]) ).

tcf(c_16091,plain,
    ( c1_1(a47)
    | ~ iPr_def_11
    | ~ c3_1(a47)
    | ~ c2_1(a47) ),
    inference(instantiation,[status(thm)],[c_15947]) ).

tcf(c_16093,plain,
    ( c1_1(a32)
    | ~ iPr_def_11
    | ~ c3_1(a32)
    | ~ c2_1(a32) ),
    inference(instantiation,[status(thm)],[c_15947]) ).

tcf(c_16095,plain,
    ( c1_1(a5)
    | ~ iPr_def_11
    | ~ c3_1(a5)
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15947]) ).

tcf(c_16096,plain,
    ( c1_1(a40)
    | c3_1(a40)
    | ~ iPr_def_14
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15951]) ).

tcf(c_16099,plain,
    ( c1_1(a7)
    | c3_1(a7)
    | ~ iPr_def_14
    | ~ c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_15951]) ).

tcf(c_16106,plain,
    ( c0_1(a47)
    | ~ iPr_def_21
    | ~ c3_1(a47)
    | ~ c2_1(a47) ),
    inference(instantiation,[status(thm)],[c_15962]) ).

tcf(c_16110,plain,
    ( c0_1(a5)
    | ~ iPr_def_21
    | ~ c3_1(a5)
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15962]) ).

tcf(c_16115,plain,
    ( c3_1(a2)
    | c2_1(a2)
    | ~ iPr_def_24
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15966]) ).

tcf(c_16123,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | ~ iPr_def_35
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15988]) ).

tcf(c_16126,plain,
    ( c3_1(a32)
    | ~ iPr_def_41
    | ~ c2_1(a32)
    | ~ c0_1(a32) ),
    inference(instantiation,[status(thm)],[c_16004]) ).

tcf(c_16140,plain,
    ( c0_1(a19)
    | ~ iPr_def_42
    | ~ c1_1(a19)
    | ~ c2_1(a19) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

tcf(c_16143,plain,
    ( c1_1(a5)
    | c3_1(a5)
    | ~ iPr_def_14
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15951]) ).

tcf(c_16144,plain,
    ( c0_1(a40)
    | ~ iPr_def_42
    | ~ c1_1(a40)
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

tcf(c_16171,plain,
    ( c1_1(a63)
    | c3_1(a63)
    | ~ iPr_def_14
    | ~ c2_1(a63) ),
    inference(instantiation,[status(thm)],[c_15951]) ).

tcf(c_16182,plain,
    ( c0_1(a64)
    | ~ iPr_def_42
    | ~ c1_1(a64)
    | ~ c2_1(a64) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

tcf(c_16191,plain,
    ( c1_1(a40)
    | c0_1(a40)
    | ~ iPr_def_20
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15960]) ).

tcf(c_16193,plain,
    ( c1_1(a5)
    | c0_1(a5)
    | ~ iPr_def_20
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15960]) ).

tcf(c_16214,plain,
    ( c3_1(a19)
    | c0_1(a19)
    | ~ iPr_def_36
    | ~ c1_1(a19) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16215,plain,
    ( c3_1(a8)
    | c0_1(a8)
    | ~ iPr_def_36
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16216,plain,
    ( c3_1(a48)
    | c0_1(a48)
    | ~ iPr_def_36
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16217,plain,
    ( c0_1(a48)
    | ~ iPr_def_42
    | ~ c1_1(a48)
    | ~ c2_1(a48) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

tcf(c_16219,plain,
    ( c3_1(a48)
    | c2_1(a48)
    | ~ iPr_def_35
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15988]) ).

tcf(c_16225,plain,
    ( hskp19
    | c3_1(a48)
    | c2_1(a48)
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_537]) ).

tcf(c_16228,plain,
    ( hskp19
    | c3_1(a8)
    | c2_1(a8)
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_537]) ).

tcf(c_16237,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | c0_1(a15)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_15957]) ).

tcf(c_16244,plain,
    ( c1_1(a7)
    | c2_1(a7)
    | c0_1(a7)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_15957]) ).

tcf(c_16248,plain,
    ( c2_1(a25)
    | ~ iPr_def_23
    | ~ c1_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_15964]) ).

tcf(c_16256,plain,
    ( c1_1(a3)
    | c2_1(a3)
    | ~ iPr_def_29
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_15973]) ).

tcf(c_16257,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ iPr_def_29
    | ~ c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_15973]) ).

tcf(c_16262,plain,
    ( c2_1(a48)
    | c0_1(a48)
    | ~ iPr_def_33
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15982]) ).

tcf(c_16265,plain,
    ( c2_1(a8)
    | c0_1(a8)
    | ~ iPr_def_33
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15982]) ).

tcf(c_16269,plain,
    ( c1_1(a40)
    | c3_1(a40)
    | c0_1(a40)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15992]) ).

tcf(c_16270,plain,
    ( c1_1(a20)
    | c3_1(a20)
    | c0_1(a20)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15992]) ).

tcf(c_16272,plain,
    ( c1_1(a7)
    | c3_1(a7)
    | c0_1(a7)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15992]) ).

tcf(c_16297,plain,
    ( c3_1(a40)
    | c0_1(a40)
    | ~ iPr_def_25
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15967]) ).

tcf(c_16317,plain,
    ( c2_1(a8)
    | ~ iPr_def_23
    | ~ c1_1(a8)
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_15964]) ).

tcf(c_16320,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | ~ iPr_def_24
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_15966]) ).

tcf(c_16334,plain,
    ( c2_1(a4)
    | ~ iPr_def_23
    | ~ c1_1(a4)
    | ~ c0_1(a4) ),
    inference(instantiation,[status(thm)],[c_15964]) ).

tcf(c_16343,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a4)
    | ~ c2_1(a4)
    | ~ c0_1(a4) ),
    inference(instantiation,[status(thm)],[c_15968]) ).

tcf(c_16347,plain,
    ( hskp25
    | ~ c1_1(a4)
    | ~ c3_1(a4)
    | ~ c0_1(a4) ),
    inference(instantiation,[status(thm)],[c_583]) ).

tcf(c_16348,plain,
    ( c2_1(a64)
    | c0_1(a64)
    | ~ iPr_def_43
    | ~ c3_1(a64) ),
    inference(instantiation,[status(thm)],[c_16010]) ).

tcf(c_16365,plain,
    ( c3_1(a33)
    | c2_1(a33)
    | ~ iPr_def_24
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_15966]) ).

tcf(c_16368,plain,
    ( c1_1(a33)
    | c3_1(a33)
    | ~ iPr_def_14
    | ~ c2_1(a33) ),
    inference(instantiation,[status(thm)],[c_15951]) ).

tcf(c_16371,plain,
    ( hskp19
    | c3_1(a20)
    | c2_1(a20)
    | ~ c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_537]) ).

tcf(c_16380,plain,
    ( c1_1(a73)
    | c3_1(a73)
    | ~ iPr_def_14
    | ~ c2_1(a73) ),
    inference(instantiation,[status(thm)],[c_15951]) ).

tcf(c_16391,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a73)
    | ~ c2_1(a73)
    | ~ c0_1(a73) ),
    inference(instantiation,[status(thm)],[c_15968]) ).

tcf(c_16393,plain,
    ( c2_1(a64)
    | c0_1(a64)
    | ~ iPr_def_33
    | ~ c1_1(a64) ),
    inference(instantiation,[status(thm)],[c_15982]) ).

tcf(c_16408,plain,
    ( c1_1(a73)
    | c3_1(a73)
    | ~ iPr_def_37
    | ~ c0_1(a73) ),
    inference(instantiation,[status(thm)],[c_15990]) ).

tcf(c_16410,plain,
    ( c1_1(a33)
    | c3_1(a33)
    | ~ iPr_def_37
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_15990]) ).

tcf(c_16418,plain,
    ( c3_1(a73)
    | ~ iPr_def_41
    | ~ c2_1(a73)
    | ~ c0_1(a73) ),
    inference(instantiation,[status(thm)],[c_16004]) ).

tcf(c_16423,plain,
    ( c3_1(a73)
    | ~ iPr_def_30
    | ~ c1_1(a73)
    | ~ c0_1(a73) ),
    inference(instantiation,[status(thm)],[c_15974]) ).

tcf(c_16434,plain,
    ( c1_1(a3)
    | ~ iPr_def_31
    | ~ c3_1(a3)
    | ~ c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_15976]) ).

tcf(c_16435,plain,
    ( c1_1(a2)
    | ~ iPr_def_31
    | ~ c3_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15976]) ).

tcf(c_16477,plain,
    ( c1_1(a5)
    | c3_1(a5)
    | c0_1(a5)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15992]) ).

tcf(c_16485,plain,
    ( c2_1(a2)
    | ~ iPr_def_13
    | ~ c3_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15950]) ).

tcf(c_16531,plain,
    ( c3_1(a33)
    | ~ iPr_def_41
    | ~ c2_1(a33)
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_16004]) ).

tcf(c_16535,plain,
    ( c1_1(a33)
    | ~ iPr_def_16
    | ~ c2_1(a33)
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_15954]) ).

tcf(c_16550,plain,
    ( c1_1(a18)
    | c3_1(a18)
    | ~ iPr_def_37
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_15990]) ).

tcf(c_16553,plain,
    ( c3_1(a18)
    | c2_1(a18)
    | ~ iPr_def_24
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_15966]) ).

tcf(c_16555,plain,
    ( c1_1(a18)
    | c3_1(a18)
    | c0_1(a18)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15992]) ).

tcf(c_16559,plain,
    ( c0_1(a13)
    | ~ iPr_def_42
    | ~ c1_1(a13)
    | ~ c2_1(a13) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

tcf(c_16562,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a13)
    | ~ c2_1(a13)
    | ~ c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_15968]) ).

tcf(c_16563,plain,
    ( ~ iPr_def_19
    | ~ c1_1(a13)
    | ~ c3_1(a13)
    | ~ c2_1(a13) ),
    inference(instantiation,[status(thm)],[c_15958]) ).

tcf(c_16570,plain,
    ( c3_1(a40)
    | ~ iPr_def_12
    | ~ c1_1(a40)
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15948]) ).

tcf(c_16580,plain,
    ( c1_1(a22)
    | c0_1(a22)
    | ~ iPr_def_22
    | ~ c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_15963]) ).

tcf(c_16584,plain,
    ( c1_1(a5)
    | c0_1(a5)
    | ~ iPr_def_22
    | ~ c3_1(a5) ),
    inference(instantiation,[status(thm)],[c_15963]) ).

tcf(c_16585,plain,
    ( c1_1(a3)
    | c0_1(a3)
    | ~ iPr_def_22
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_15963]) ).

tcf(c_16597,plain,
    ( c0_1(a47)
    | ~ iPr_def_42
    | ~ c1_1(a47)
    | ~ c2_1(a47) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

tcf(c_16628,plain,
    ( c3_1(a20)
    | c2_1(a20)
    | c0_1(a20)
    | ~ iPr_def_34 ),
    inference(instantiation,[status(thm)],[c_15986]) ).

tcf(c_16630,plain,
    ( c3_1(a8)
    | c2_1(a8)
    | c0_1(a8)
    | ~ iPr_def_34 ),
    inference(instantiation,[status(thm)],[c_15986]) ).

tcf(c_16655,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16630,c_16628,c_16597,c_16585,c_16584,c_16580,c_16570,c_16559,c_16562,c_16563,c_16550,c_16553,c_16555,c_16531,c_16535,c_16485,c_16477,c_16435,c_16434,c_16423,c_16418,c_16410,c_16408,c_16393,c_16391,c_16380,c_16371,c_16365,c_16368,c_16348,c_16343,c_16347,c_16334,c_16317,c_16320,c_16297,c_16272,c_16270,c_16269,c_16265,c_16262,c_16257,c_16256,c_16248,c_16244,c_16237,c_16228,c_16225,c_16216,c_16217,c_16219,c_16215,c_16214,c_16193,c_16191,c_16182,c_16171,c_16144,c_16143,c_16140,c_16126,c_16123,c_16115,c_16110,c_16106,c_16099,c_16096,c_16095,c_16093,c_16091,c_16088,c_16078,c_16075,c_16066,c_16045,c_16044,c_16043,c_16042,c_16041,c_16038,c_16037,c_16030,c_16027,c_16026,c_16025,c_16024,c_16023,c_16021,c_16020,c_16019,c_16017,c_16014,c_16013,c_16012,c_16008,c_16002,c_15998,c_15993,c_15987,c_15985,c_15984,c_15983,c_15981,c_15977,c_15975,c_15969,c_15965,c_15961,c_15959,c_15953,c_8317,c_8307,c_7882,c_7872,c_7862,c_7159,c_7149,c_7139,c_5314,c_5304,c_5294,c_3595,c_3588,c_3581,c_3217,c_3207,c_2494,c_2487,c_2368,c_2358,c_2348,c_584,c_332,c_333,c_334,c_335,c_336,c_337,c_338,c_340,c_341,c_343,c_344,c_345,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,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_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_309,c_312,c_313,c_314,c_317,c_318,c_319,c_320,c_321,c_326,c_327,c_328,c_329,c_330,c_331,c_283,c_284]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN500-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38  % Computer : n005.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Fri Sep 25 01:33:34 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42  Running EPR theorem proving
% 0.14/0.42  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
% 0.14/0.43  
% 0.14/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43  
% 0.14/0.43  % Detected problem language: tptp
% 0.14/0.45  % Proving...
% 4.57/1.19  % SZS status Started for theBenchmark.p
% 4.57/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.57/1.19  
% 4.57/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.57/1.19  
% 4.57/1.19  % ------  iProver source info
% 4.57/1.19  
% 4.57/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 4.57/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.57/1.19  % git: non_committed_changes: false
% 4.57/1.19  
% 4.57/1.19  % ------ Parsing...% successful
% 4.57/1.19  
% 4.57/1.19  
% 4.57/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.57/1.19  % 
% 4.57/1.19  
% 4.57/1.19  % ------ 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 % 
% 4.57/1.19  
% 4.57/1.19  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.57/1.19   gs_s  sp: 133 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.57/1.19  % ------ Proving...
% 4.57/1.19  % ------ Problem Properties 
% 4.57/1.19  
% 4.57/1.19  % 
% 4.57/1.19  % clauses                               201
% 4.57/1.19  % conjectures                           198
% 4.57/1.19  % EPR                                   201
% 4.57/1.19  % Horn                                  106
% 4.57/1.19  % unary                                 0
% 4.57/1.19  % binary                                88
% 4.57/1.19  % lits                                  549
% 4.57/1.19  % lits eq                               0
% 4.57/1.19  % fd_pure                               0
% 4.57/1.19  % fd_pseudo                             0
% 4.57/1.19  % fd_cond                               0
% 4.57/1.19  % fd_pseudo_cond                        0
% 4.57/1.19  % AC symbols                            0
% 4.57/1.19  
% 4.57/1.19  % ------ Schedule EPR non Horn non eq is on
% 4.57/1.19  
% 4.57/1.19  % ------ no equalities: superposition off 
% 4.57/1.19  
% 4.57/1.19  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.57/1.19  
% 4.57/1.19  
% 4.57/1.19  % ------ 
% 4.57/1.19  % Current options:
% 4.57/1.19  % ------ 
% 4.57/1.19  
% 4.57/1.19  
% 4.57/1.19  % 
% 4.57/1.19  
% 4.57/1.19  % ------ Proving...
% 4.57/1.19  % 
% 4.57/1.19  
% 4.57/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.57/1.19  
% 4.57/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.20  
% 4.15/1.20  
%------------------------------------------------------------------------------