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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN472-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n003.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 03:40:24 PM UTC 2026

% Result   : Unsatisfiable 3.16s 1.16s
% Output   : CNFRefutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  547 (   2 unt;   0 def)
%            Number of atoms       : 2335 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2925 (1137   ~;1788   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   59 (  58 usr;  55 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  353 (   0 sgn 353   !;   0   ?; 269   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f11,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f30,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

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

fof(f32,negated_conjecture,
    ( hskp12
    | hskp30
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f35,negated_conjecture,
    ( hskp13
    | hskp7
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp13
    | hskp23
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp1
    | hskp20
    | hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp12
    | hskp20
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( c1_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c3_1(a733)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c0_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c2_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c3_1(a713)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c0_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c1_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c2_1(a695)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c0_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c1_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c3_1(a691)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f56,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c1_1(a761)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c1_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c3_1(a760)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c2_1(a754)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a752)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c0_1(a751)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c2_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c3_1(a738)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c3_1(a734)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c1_1(a730)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c1_1(a726)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c0_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c3_1(a722)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c1_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f72,negated_conjecture,
    ( c3_1(a717)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c3_1(a710)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c1_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c2_1(a708)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c0_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c2_1(a701)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c0_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c2_1(a697)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c1_1(a696)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c2_1(a693)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c2_1(a692)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f92,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a763) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a763) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a761) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a761) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a760) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a754) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a754) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a752) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a752) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a751) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a751) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f104,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a744) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a738) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a734) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a730) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a726) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a726) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a725) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a722) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f120,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a710) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a708) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a702) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a701) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a698) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a698) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a698) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a697) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a696) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a693) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp0
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp5
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp3
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp14
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X0] :
      ( hskp30
      | hskp14
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp7
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp7
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp18
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp22
      | hskp21
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp18
      | hskp27
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp29
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

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

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp30
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | c2_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp20
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

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

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

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

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

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

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

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

fof(f196,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/sandbox/benchmark/theBenchmark.p',clause196) ).

tcf(c_245,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_255,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_274,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_275,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_276,negated_conjecture,
    ( hskp12
    | hskp28
    | hskp30 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_279,negated_conjecture,
    ( hskp7
    | hskp13
    | hskp29 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_280,negated_conjecture,
    ( hskp11
    | hskp13
    | hskp23 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_281,negated_conjecture,
    ( hskp18
    | hskp21
    | hskp23 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_282,negated_conjecture,
    ( hskp1
    | hskp20
    | hskp30 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_283,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp20 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_284,negated_conjecture,
    ( c1_1(a733)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_285,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_286,negated_conjecture,
    ( c3_1(a733)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_287,negated_conjecture,
    ( c0_1(a713)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_288,negated_conjecture,
    ( c2_1(a713)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_289,negated_conjecture,
    ( c3_1(a713)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_290,negated_conjecture,
    ( c0_1(a695)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_291,negated_conjecture,
    ( c1_1(a695)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_292,negated_conjecture,
    ( c2_1(a695)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_293,negated_conjecture,
    ( c0_1(a691)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_294,negated_conjecture,
    ( c1_1(a691)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_295,negated_conjecture,
    ( c3_1(a691)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_300,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_301,negated_conjecture,
    ( c1_1(a761)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a760)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_303,negated_conjecture,
    ( c3_1(a760)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_304,negated_conjecture,
    ( c2_1(a754)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_305,negated_conjecture,
    ( c0_1(a752)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_306,negated_conjecture,
    ( c0_1(a751)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_307,negated_conjecture,
    ( c2_1(a738)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_308,negated_conjecture,
    ( c3_1(a738)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_309,negated_conjecture,
    ( c3_1(a734)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_310,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_311,negated_conjecture,
    ( c1_1(a730)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_312,negated_conjecture,
    ( c1_1(a726)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_313,negated_conjecture,
    ( c0_1(a722)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_314,negated_conjecture,
    ( c3_1(a722)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_315,negated_conjecture,
    ( c1_1(a717)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_316,negated_conjecture,
    ( c3_1(a717)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_317,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_318,negated_conjecture,
    ( c3_1(a710)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_319,negated_conjecture,
    ( c1_1(a708)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_320,negated_conjecture,
    ( c2_1(a708)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_321,negated_conjecture,
    ( c0_1(a702)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_322,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_323,negated_conjecture,
    ( c0_1(a701)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_324,negated_conjecture,
    ( c2_1(a701)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_325,negated_conjecture,
    ( c0_1(a697)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_326,negated_conjecture,
    ( c2_1(a697)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_327,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_328,negated_conjecture,
    ( c1_1(a696)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_329,negated_conjecture,
    ( c2_1(a693)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_330,negated_conjecture,
    ( c2_1(a692)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a763) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a763) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a761) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a761) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a760) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a754) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a754) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a752) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a752) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a751) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a751) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a744) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a744) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a738) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a734) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a734) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a730) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a726) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a726) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a725) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a725) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a725) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a722) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a717) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a710) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a708) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a702) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a701) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a698) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a698) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a698) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a697) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a696) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a693) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a693) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a692) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a692) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp27
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_379,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp8
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp3
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp14
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp30
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp16
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp13
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp20
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp22
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp27
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

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

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

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

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

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

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

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_457,plain,
    ( hskp18
    | hskp19
    | c2_1(a691)
    | ~ ndr1_0
    | ~ c3_1(a691)
    | ~ c1_1(a691) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_466,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_275,c_282,c_274,c_255,c_245]) ).

tcf(c_531,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp8
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_380,c_282,c_274,c_255,c_245,c_380]) ).

tcf(c_534,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_379,c_282,c_274,c_255,c_245,c_379]) ).

tcf(c_537,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp27
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_378,c_282,c_274,c_255,c_245,c_378]) ).

tcf(c_540,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_282,c_274,c_255,c_245,c_377]) ).

tcf(c_546,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_387,c_282,c_274,c_255,c_245,c_387]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp30
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_282,c_274,c_255,c_245,c_386]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp14
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_282,c_274,c_255,c_245,c_385]) ).

tcf(c_555,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp3
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_282,c_274,c_255,c_245,c_384]) ).

tcf(c_564,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp22
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_282,c_274,c_255,c_245,c_396]) ).

tcf(c_565,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp22
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_564]) ).

tcf(c_567,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_282,c_274,c_255,c_245,c_395]) ).

tcf(c_568,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp16
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_567]) ).

tcf(c_573,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp20
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_282,c_274,c_255,c_245,c_393]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp20
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_573]) ).

tcf(c_576,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp19
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_282,c_274,c_255,c_245,c_392]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp19
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_576]) ).

tcf(c_578,plain,
    ( hskp18
    | hskp19
    | c2_1(a691)
    | ~ c3_1(a691)
    | ~ c1_1(a691) ),
    inference(instantiation,[status(thm)],[c_577]) ).

tcf(c_579,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_282,c_274,c_255,c_245,c_391]) ).

tcf(c_580,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp5
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_579]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp13
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_282,c_274,c_255,c_245,c_390]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp13
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_585,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp16
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_282,c_274,c_255,c_245,c_389]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp16
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_585]) ).

tcf(c_591,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp27
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_282,c_274,c_255,c_245,c_398]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp27
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_591]) ).

tcf(c_597,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_282,c_274,c_255,c_245,c_401]) ).

tcf(c_600,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_282,c_274,c_255,c_245,c_400]) ).

tcf(c_604,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_282,c_274,c_255,c_245,c_411]) ).

tcf(c_605,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_604]) ).

tcf(c_608,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_282,c_274,c_255,c_245,c_409]) ).

tcf(c_609,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_608]) ).

tcf(c_610,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_282,c_274,c_255,c_245,c_408]) ).

tcf(c_611,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_610]) ).

tcf(c_612,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_282,c_274,c_255,c_245,c_407]) ).

tcf(c_613,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_612]) ).

tcf(c_614,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_282,c_274,c_255,c_245,c_406]) ).

tcf(c_615,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_614]) ).

tcf(c_620,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_403,c_282,c_274,c_255,c_245,c_403]) ).

tcf(c_621,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_620]) ).

tcf(c_626,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_282,c_274,c_255,c_245,c_419]) ).

tcf(c_627,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_626]) ).

tcf(c_630,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_282,c_274,c_255,c_245,c_417]) ).

tcf(c_631,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_630]) ).

tcf(c_632,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_282,c_274,c_255,c_245,c_416]) ).

tcf(c_633,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_632]) ).

tcf(c_634,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_282,c_274,c_255,c_245,c_415]) ).

tcf(c_635,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_634]) ).

tcf(c_638,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_282,c_274,c_255,c_245,c_413]) ).

tcf(c_639,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_638]) ).

tcf(c_641,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_282,c_274,c_255,c_245,c_427]) ).

tcf(c_642,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_641]) ).

tcf(c_643,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_282,c_274,c_255,c_245,c_426]) ).

tcf(c_644,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_643]) ).

tcf(c_645,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_282,c_274,c_255,c_245,c_425]) ).

tcf(c_646,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_645]) ).

tcf(c_647,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_282,c_274,c_255,c_245,c_424]) ).

tcf(c_648,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_647]) ).

tcf(c_649,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_423,c_282,c_274,c_255,c_245,c_423]) ).

tcf(c_650,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_649]) ).

tcf(c_651,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_422,c_282,c_274,c_255,c_245,c_422]) ).

tcf(c_652,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_651]) ).

tcf(c_655,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_282,c_274,c_255,c_245,c_432]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_655]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_282,c_274,c_255,c_245,c_431]) ).

tcf(c_658,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_657]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_282,c_274,c_255,c_245,c_429]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_282,c_274,c_255,c_245,c_434]) ).

tcf(c_666,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_665]) ).

tcf(c_667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_282,c_274,c_255,c_245,c_433]) ).

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

tcf(c_669,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_282,c_274,c_255,c_245,c_436]) ).

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

tcf(c_671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_282,c_274,c_255,c_245,c_435]) ).

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

tcf(c_673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_282,c_274,c_255,c_245,c_440]) ).

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

tcf(c_675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_439,c_466]) ).

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

tcf(c_677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_282,c_274,c_255,c_245,c_438]) ).

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

tcf(c_679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_282,c_274,c_255,c_245,c_437]) ).

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

tcf(c_2341,plain,
    ( hskp18
    | hskp23
    | ~ c0_1(a760) ),
    inference(resolution,[status(thm)],[c_281,c_340]) ).

tcf(c_2351,plain,
    ( hskp18
    | hskp23
    | c3_1(a760) ),
    inference(resolution,[status(thm)],[c_281,c_303]) ).

tcf(c_2361,plain,
    ( hskp18
    | hskp23
    | c1_1(a760) ),
    inference(resolution,[status(thm)],[c_281,c_302]) ).

tcf(c_2578,plain,
    ( hskp18
    | hskp21
    | ~ c2_1(a763) ),
    inference(resolution,[status(thm)],[c_281,c_337]) ).

tcf(c_2588,plain,
    ( hskp18
    | hskp21
    | ~ c1_1(a763) ),
    inference(resolution,[status(thm)],[c_281,c_336]) ).

tcf(c_2598,plain,
    ( hskp18
    | hskp21
    | c0_1(a763) ),
    inference(resolution,[status(thm)],[c_281,c_300]) ).

tcf(c_2608,plain,
    ( hskp11
    | hskp13
    | ~ c2_1(a763) ),
    inference(resolution,[status(thm)],[c_280,c_337]) ).

tcf(c_2618,plain,
    ( hskp11
    | hskp13
    | ~ c1_1(a763) ),
    inference(resolution,[status(thm)],[c_280,c_336]) ).

tcf(c_2628,plain,
    ( hskp11
    | hskp13
    | c0_1(a763) ),
    inference(resolution,[status(thm)],[c_280,c_300]) ).

tcf(c_3604,plain,
    ( hskp13
    | hskp23
    | ~ c1_1(a722) ),
    inference(resolution,[status(thm)],[c_280,c_359]) ).

tcf(c_3614,plain,
    ( hskp13
    | hskp23
    | c3_1(a722) ),
    inference(resolution,[status(thm)],[c_280,c_314]) ).

tcf(c_3624,plain,
    ( hskp13
    | hskp23
    | c0_1(a722) ),
    inference(resolution,[status(thm)],[c_280,c_313]) ).

tcf(c_3796,plain,
    ( hskp13
    | hskp20
    | ~ c3_1(a725) ),
    inference(resolution,[status(thm)],[c_283,c_358]) ).

tcf(c_3806,plain,
    ( hskp13
    | hskp20
    | ~ c1_1(a725) ),
    inference(resolution,[status(thm)],[c_283,c_357]) ).

tcf(c_3816,plain,
    ( hskp13
    | hskp20
    | ~ c0_1(a725) ),
    inference(resolution,[status(thm)],[c_283,c_356]) ).

tcf(c_3826,plain,
    ( hskp28
    | hskp30
    | ~ c3_1(a725) ),
    inference(resolution,[status(thm)],[c_276,c_358]) ).

tcf(c_3836,plain,
    ( hskp28
    | hskp30
    | ~ c1_1(a725) ),
    inference(resolution,[status(thm)],[c_276,c_357]) ).

tcf(c_3846,plain,
    ( hskp28
    | hskp30
    | ~ c0_1(a725) ),
    inference(resolution,[status(thm)],[c_276,c_356]) ).

tcf(c_4063,plain,
    ( hskp20
    | hskp30
    | ~ c3_1(a693) ),
    inference(resolution,[status(thm)],[c_282,c_374]) ).

tcf(c_4073,plain,
    ( hskp20
    | hskp30
    | ~ c1_1(a693) ),
    inference(resolution,[status(thm)],[c_282,c_373]) ).

tcf(c_4504,plain,
    ( hskp12
    | hskp20
    | ~ c3_1(a726) ),
    inference(resolution,[status(thm)],[c_283,c_355]) ).

tcf(c_4514,plain,
    ( hskp12
    | hskp20
    | ~ c0_1(a726) ),
    inference(resolution,[status(thm)],[c_283,c_354]) ).

tcf(c_4524,plain,
    ( hskp12
    | hskp20
    | c1_1(a726) ),
    inference(resolution,[status(thm)],[c_283,c_312]) ).

tcf(c_4534,plain,
    ( hskp11
    | hskp23
    | ~ c3_1(a726) ),
    inference(resolution,[status(thm)],[c_280,c_355]) ).

tcf(c_4544,plain,
    ( hskp11
    | hskp23
    | ~ c0_1(a726) ),
    inference(resolution,[status(thm)],[c_280,c_354]) ).

tcf(c_4554,plain,
    ( hskp11
    | hskp23
    | c1_1(a726) ),
    inference(resolution,[status(thm)],[c_280,c_312]) ).

tcf(c_4564,plain,
    ( hskp7
    | hskp29
    | ~ c3_1(a726) ),
    inference(resolution,[status(thm)],[c_279,c_355]) ).

tcf(c_4574,plain,
    ( hskp7
    | hskp29
    | ~ c0_1(a726) ),
    inference(resolution,[status(thm)],[c_279,c_354]) ).

tcf(c_4584,plain,
    ( hskp7
    | hskp29
    | c1_1(a726) ),
    inference(resolution,[status(thm)],[c_279,c_312]) ).

tcf(c_4840,plain,
    ( hskp7
    | hskp13
    | c3_1(a713) ),
    inference(resolution,[status(thm)],[c_279,c_289]) ).

tcf(c_4850,plain,
    ( hskp7
    | hskp13
    | c2_1(a713) ),
    inference(resolution,[status(thm)],[c_279,c_288]) ).

tcf(c_4860,plain,
    ( hskp7
    | hskp13
    | c0_1(a713) ),
    inference(resolution,[status(thm)],[c_279,c_287]) ).

tcf(c_5053,plain,
    ! [X0: $i] :
      ( hskp20
      | c2_1(X0)
      | ~ c1_1(a738)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_574,c_350]) ).

tcf(c_5054,plain,
    ( hskp20
    | c2_1(a691)
    | ~ c3_1(a691)
    | ~ c1_1(a738)
    | ~ c1_1(a691) ),
    inference(instantiation,[status(thm)],[c_5053]) ).

tcf(c_5070,plain,
    ! [X0: $i] :
      ( hskp20
      | c3_1(a738)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_574,c_308]) ).

tcf(c_5071,plain,
    ( hskp20
    | c3_1(a738)
    | c2_1(a691)
    | ~ c3_1(a691)
    | ~ c1_1(a691) ),
    inference(instantiation,[status(thm)],[c_5070]) ).

tcf(c_5087,plain,
    ! [X0: $i] :
      ( hskp20
      | c2_1(a738)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_574,c_307]) ).

tcf(c_5088,plain,
    ( hskp20
    | c2_1(a738)
    | c2_1(a691)
    | ~ c3_1(a691)
    | ~ c1_1(a691) ),
    inference(instantiation,[status(thm)],[c_5087]) ).

tcf(c_16895,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_680]) ).

tcf(c_16896,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_680]) ).

tcf(c_16897,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_680]) ).

tcf(c_16898,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_16899,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_678]) ).

tcf(c_16900,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_678]) ).

tcf(c_16901,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).

tcf(c_16902,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_676]) ).

tcf(c_16903,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_676]) ).

tcf(c_16904,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_676]) ).

tcf(c_16905,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).

tcf(c_16906,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_674]) ).

tcf(c_16907,negated_conjecture,
    ( iPr_def_18
    | iPr_def_15
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).

tcf(c_16908,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_672]) ).

tcf(c_16909,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_672]) ).

tcf(c_16910,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).

tcf(c_16911,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_670]) ).

tcf(c_16912,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_670]) ).

tcf(c_16913,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_670]) ).

tcf(c_16914,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_670]) ).

tcf(c_16915,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_668]) ).

tcf(c_16916,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_668]) ).

tcf(c_16917,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).

tcf(c_16918,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_666]) ).

tcf(c_16919,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_666]) ).

tcf(c_16920,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).

tcf(c_16923,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_662]) ).

tcf(c_16925,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_658]) ).

tcf(c_16926,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_658]) ).

tcf(c_16928,negated_conjecture,
    ( iPr_def_14
    | iPr_def_10
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).

tcf(c_16931,negated_conjecture,
    ( iPr_def_31
    | iPr_def_22
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).

tcf(c_16933,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_650]) ).

tcf(c_16935,negated_conjecture,
    ( iPr_def_25
    | iPr_def_10
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).

tcf(c_16936,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_646]) ).

tcf(c_16937,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).

tcf(c_16938,negated_conjecture,
    ( iPr_def_17
    | iPr_def_10
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_644]) ).

tcf(c_16939,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_642]) ).

tcf(c_16940,negated_conjecture,
    ( iPr_def_36
    | iPr_def_12
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).

tcf(c_16941,negated_conjecture,
    ( iPr_def_20
    | iPr_def_15
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_639]) ).

tcf(c_16943,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_635]) ).

tcf(c_16944,negated_conjecture,
    ( iPr_def_37
    | iPr_def_22
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).

tcf(c_16945,negated_conjecture,
    ( iPr_def_37
    | iPr_def_26
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).

tcf(c_16946,negated_conjecture,
    ( iPr_def_27
    | iPr_def_16
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).

tcf(c_16948,negated_conjecture,
    ( iPr_def_21
    | iPr_def_19
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).

tcf(c_16951,negated_conjecture,
    ( iPr_def_26
    | iPr_def_20
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_621]) ).

tcf(c_16955,negated_conjecture,
    ( iPr_def_21
    | iPr_def_11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_615]) ).

tcf(c_16956,negated_conjecture,
    ( iPr_def_18
    | iPr_def_13
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_613]) ).

tcf(c_16957,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).

tcf(c_16958,negated_conjecture,
    ( iPr_def_22
    | iPr_def_17
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).

tcf(c_16960,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).

tcf(c_16962,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_600]) ).

tcf(c_16963,negated_conjecture,
    ( iPr_def_39
    | iPr_def_19
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_600]) ).

tcf(c_16964,negated_conjecture,
    ( iPr_def_23
    | iPr_def_11
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).

tcf(c_16967,negated_conjecture,
    ( iPr_def_29
    | hskp18
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).

tcf(c_16969,negated_conjecture,
    ( iPr_def_35
    | hskp7
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

tcf(c_16970,negated_conjecture,
    ( iPr_def_15
    | hskp7
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_16971,negated_conjecture,
    ( iPr_def_34
    | hskp1
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).

tcf(c_16972,negated_conjecture,
    ( iPr_def_36
    | hskp18
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).

tcf(c_16975,negated_conjecture,
    ( iPr_def_12
    | hskp15
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).

tcf(c_16976,negated_conjecture,
    ( iPr_def_30
    | hskp21
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).

tcf(c_16979,negated_conjecture,
    ( iPr_def_18
    | hskp1
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).

tcf(c_16980,negated_conjecture,
    ( iPr_def_19
    | hskp3
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).

tcf(c_16981,negated_conjecture,
    ( iPr_def_19
    | hskp14
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).

tcf(c_16982,negated_conjecture,
    ( iPr_def_19
    | hskp12
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).

tcf(c_16984,negated_conjecture,
    ( iPr_def_39
    | hskp0
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).

tcf(c_16985,negated_conjecture,
    ( iPr_def_11
    | hskp6
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).

tcf(c_16986,negated_conjecture,
    ( iPr_def_11
    | hskp2
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).

tcf(c_16987,negated_conjecture,
    ( iPr_def_11
    | hskp5
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).

tcf(c_17016,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a691)
    | ~ c3_1(a691)
    | ~ c2_1(a691) ),
    inference(instantiation,[status(thm)],[c_16895]) ).

tcf(c_17018,plain,
    ( ~ iPr_def_31
    | ~ c3_1(a691)
    | ~ c2_1(a691)
    | ~ c1_1(a691) ),
    inference(instantiation,[status(thm)],[c_16926]) ).

tcf(c_17022,plain,
    ( c0_1(a725)
    | c3_1(a725)
    | c2_1(a725)
    | ~ iPr_def_11 ),
    inference(instantiation,[status(thm)],[c_16896]) ).

tcf(c_17025,plain,
    ( c0_1(a698)
    | c3_1(a698)
    | c2_1(a698)
    | ~ iPr_def_11 ),
    inference(instantiation,[status(thm)],[c_16896]) ).

tcf(c_17028,plain,
    ( c3_1(a730)
    | ~ iPr_def_12
    | ~ c0_1(a730)
    | ~ c1_1(a730) ),
    inference(instantiation,[status(thm)],[c_16897]) ).

tcf(c_17030,plain,
    ( c3_1(a708)
    | ~ iPr_def_12
    | ~ c0_1(a708)
    | ~ c1_1(a708) ),
    inference(instantiation,[status(thm)],[c_16897]) ).

tcf(c_17032,plain,
    ( c3_1(a697)
    | ~ iPr_def_12
    | ~ c0_1(a697)
    | ~ c1_1(a697) ),
    inference(instantiation,[status(thm)],[c_16897]) ).

tcf(c_17042,plain,
    ( c2_1(a763)
    | c1_1(a763)
    | ~ iPr_def_18
    | ~ c3_1(a763) ),
    inference(instantiation,[status(thm)],[c_16906]) ).

tcf(c_17046,plain,
    ( c2_1(a722)
    | c1_1(a722)
    | ~ iPr_def_18
    | ~ c3_1(a722) ),
    inference(instantiation,[status(thm)],[c_16906]) ).

tcf(c_17050,plain,
    ( c3_1(a763)
    | c1_1(a763)
    | ~ iPr_def_19
    | ~ c0_1(a763) ),
    inference(instantiation,[status(thm)],[c_16908]) ).

tcf(c_17051,plain,
    ( c3_1(a751)
    | c1_1(a751)
    | ~ iPr_def_19
    | ~ c0_1(a751) ),
    inference(instantiation,[status(thm)],[c_16908]) ).

tcf(c_17057,plain,
    ( c3_1(a693)
    | c1_1(a693)
    | ~ iPr_def_19
    | ~ c0_1(a693) ),
    inference(instantiation,[status(thm)],[c_16908]) ).

tcf(c_17059,plain,
    ( c0_1(a754)
    | c3_1(a754)
    | ~ iPr_def_22
    | ~ c2_1(a754) ),
    inference(instantiation,[status(thm)],[c_16912]) ).

tcf(c_17060,plain,
    ( c0_1(a725)
    | c3_1(a725)
    | ~ iPr_def_22
    | ~ c2_1(a725) ),
    inference(instantiation,[status(thm)],[c_16912]) ).

tcf(c_17064,plain,
    ( c2_1(a763)
    | c1_1(a763)
    | ~ iPr_def_26
    | ~ c0_1(a763) ),
    inference(instantiation,[status(thm)],[c_16918]) ).

tcf(c_17067,plain,
    ( c2_1(a722)
    | c1_1(a722)
    | ~ iPr_def_26
    | ~ c0_1(a722) ),
    inference(instantiation,[status(thm)],[c_16918]) ).

tcf(c_17071,plain,
    ( c3_1(a752)
    | c2_1(a752)
    | ~ iPr_def_17
    | ~ c1_1(a752) ),
    inference(instantiation,[status(thm)],[c_16904]) ).

tcf(c_17072,plain,
    ( c3_1(a752)
    | ~ iPr_def_12
    | ~ c0_1(a752)
    | ~ c1_1(a752) ),
    inference(instantiation,[status(thm)],[c_16897]) ).

tcf(c_17083,plain,
    ( c3_1(a708)
    | ~ iPr_def_14
    | ~ c2_1(a708)
    | ~ c1_1(a708) ),
    inference(instantiation,[status(thm)],[c_16900]) ).

tcf(c_17085,plain,
    ( c3_1(a697)
    | ~ iPr_def_14
    | ~ c2_1(a697)
    | ~ c1_1(a697) ),
    inference(instantiation,[status(thm)],[c_16900]) ).

tcf(c_17087,plain,
    ( c0_1(a726)
    | c3_1(a726)
    | ~ iPr_def_22
    | ~ c2_1(a726) ),
    inference(instantiation,[status(thm)],[c_16912]) ).

tcf(c_17088,plain,
    ( c0_1(a726)
    | c3_1(a726)
    | c2_1(a726)
    | ~ iPr_def_11 ),
    inference(instantiation,[status(thm)],[c_16896]) ).

tcf(c_17089,plain,
    ( c3_1(a726)
    | ~ iPr_def_14
    | ~ c2_1(a726)
    | ~ c1_1(a726) ),
    inference(instantiation,[status(thm)],[c_16900]) ).

tcf(c_17090,plain,
    ( c3_1(a726)
    | c2_1(a726)
    | ~ iPr_def_17
    | ~ c1_1(a726) ),
    inference(instantiation,[status(thm)],[c_16904]) ).

tcf(c_17092,plain,
    ( c0_1(a692)
    | c3_1(a692)
    | ~ iPr_def_22
    | ~ c2_1(a692) ),
    inference(instantiation,[status(thm)],[c_16912]) ).

tcf(c_17099,plain,
    ( c1_1(a738)
    | ~ iPr_def_15
    | ~ c3_1(a738)
    | ~ c2_1(a738) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_17101,plain,
    ( c1_1(a722)
    | ~ iPr_def_15
    | ~ c3_1(a722)
    | ~ c2_1(a722) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_17103,plain,
    ( c1_1(a701)
    | ~ iPr_def_15
    | ~ c3_1(a701)
    | ~ c2_1(a701) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_17105,plain,
    ( c1_1(a692)
    | ~ iPr_def_15
    | ~ c3_1(a692)
    | ~ c2_1(a692) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_17113,plain,
    ( c0_1(a693)
    | c3_1(a693)
    | ~ iPr_def_22
    | ~ c2_1(a693) ),
    inference(instantiation,[status(thm)],[c_16912]) ).

tcf(c_17139,plain,
    ( c0_1(a726)
    | c3_1(a726)
    | ~ iPr_def_23
    | ~ c1_1(a726) ),
    inference(instantiation,[status(thm)],[c_16913]) ).

tcf(c_17149,plain,
    ( c3_1(a752)
    | c1_1(a752)
    | ~ iPr_def_19
    | ~ c0_1(a752) ),
    inference(instantiation,[status(thm)],[c_16908]) ).

tcf(c_17154,plain,
    ( c0_1(a744)
    | c3_1(a744)
    | c2_1(a744)
    | ~ iPr_def_11 ),
    inference(instantiation,[status(thm)],[c_16896]) ).

tcf(c_17166,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a733)
    | ~ c3_1(a733)
    | ~ c2_1(a733) ),
    inference(instantiation,[status(thm)],[c_16895]) ).

tcf(c_17167,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a713)
    | ~ c3_1(a713)
    | ~ c2_1(a713) ),
    inference(instantiation,[status(thm)],[c_16895]) ).

tcf(c_17168,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a695)
    | ~ c3_1(a695)
    | ~ c2_1(a695) ),
    inference(instantiation,[status(thm)],[c_16895]) ).

tcf(c_17170,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a738)
    | ~ c3_1(a738)
    | ~ c2_1(a738) ),
    inference(instantiation,[status(thm)],[c_16895]) ).

tcf(c_17180,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a722)
    | ~ c3_1(a722)
    | ~ c2_1(a722) ),
    inference(instantiation,[status(thm)],[c_16895]) ).

tcf(c_17182,plain,
    ( c0_1(a761)
    | c2_1(a761)
    | ~ iPr_def_13
    | ~ c1_1(a761) ),
    inference(instantiation,[status(thm)],[c_16899]) ).

tcf(c_17183,plain,
    ( c0_1(a760)
    | c2_1(a760)
    | ~ iPr_def_13
    | ~ c1_1(a760) ),
    inference(instantiation,[status(thm)],[c_16899]) ).

tcf(c_17184,plain,
    ( c0_1(a726)
    | c2_1(a726)
    | ~ iPr_def_13
    | ~ c1_1(a726) ),
    inference(instantiation,[status(thm)],[c_16899]) ).

tcf(c_17256,plain,
    ( c2_1(a734)
    | c1_1(a734)
    | ~ iPr_def_26
    | ~ c0_1(a734) ),
    inference(instantiation,[status(thm)],[c_16918]) ).

tcf(c_17258,plain,
    ( c2_1(a734)
    | c1_1(a734)
    | ~ iPr_def_18
    | ~ c3_1(a734) ),
    inference(instantiation,[status(thm)],[c_16906]) ).

tcf(c_17263,plain,
    ( c1_1(a693)
    | ~ iPr_def_35
    | ~ c0_1(a693)
    | ~ c2_1(a693) ),
    inference(instantiation,[status(thm)],[c_16936]) ).

tcf(c_17266,plain,
    ( c3_1(a752)
    | c2_1(a752)
    | ~ iPr_def_27
    | ~ c0_1(a752) ),
    inference(instantiation,[status(thm)],[c_16919]) ).

tcf(c_17267,plain,
    ( c3_1(a744)
    | c2_1(a744)
    | ~ iPr_def_27
    | ~ c0_1(a744) ),
    inference(instantiation,[status(thm)],[c_16919]) ).

tcf(c_17272,plain,
    ( c3_1(a696)
    | c2_1(a696)
    | ~ iPr_def_27
    | ~ c0_1(a696) ),
    inference(instantiation,[status(thm)],[c_16919]) ).

tcf(c_17299,plain,
    ( c2_1(a696)
    | ~ iPr_def_34
    | ~ c0_1(a696)
    | ~ c1_1(a696) ),
    inference(instantiation,[status(thm)],[c_16933]) ).

tcf(c_17303,plain,
    ( c2_1(a717)
    | ~ iPr_def_36
    | ~ c3_1(a717)
    | ~ c1_1(a717) ),
    inference(instantiation,[status(thm)],[c_16939]) ).

tcf(c_17304,plain,
    ( c2_1(a702)
    | ~ iPr_def_36
    | ~ c3_1(a702)
    | ~ c1_1(a702) ),
    inference(instantiation,[status(thm)],[c_16939]) ).

tcf(c_17306,plain,
    ( c2_1(a696)
    | ~ iPr_def_36
    | ~ c3_1(a696)
    | ~ c1_1(a696) ),
    inference(instantiation,[status(thm)],[c_16939]) ).

tcf(c_17319,plain,
    ( c2_1(a734)
    | ~ iPr_def_21
    | ~ c0_1(a734)
    | ~ c3_1(a734) ),
    inference(instantiation,[status(thm)],[c_16911]) ).

tcf(c_17321,plain,
    ( c2_1(a702)
    | ~ iPr_def_21
    | ~ c0_1(a702)
    | ~ c3_1(a702) ),
    inference(instantiation,[status(thm)],[c_16911]) ).

tcf(c_17323,plain,
    ( c2_1(a696)
    | ~ iPr_def_21
    | ~ c0_1(a696)
    | ~ c3_1(a696) ),
    inference(instantiation,[status(thm)],[c_16911]) ).

tcf(c_17331,plain,
    ( c0_1(a734)
    | c2_1(a734)
    | ~ iPr_def_24
    | ~ c3_1(a734) ),
    inference(instantiation,[status(thm)],[c_16915]) ).

tcf(c_17357,plain,
    ( c3_1(a693)
    | c1_1(a693)
    | ~ iPr_def_25
    | ~ c2_1(a693) ),
    inference(instantiation,[status(thm)],[c_16916]) ).

tcf(c_17358,plain,
    ( c3_1(a692)
    | c1_1(a692)
    | ~ iPr_def_25
    | ~ c2_1(a692) ),
    inference(instantiation,[status(thm)],[c_16916]) ).

tcf(c_17366,plain,
    ( c0_1(a708)
    | c3_1(a708)
    | ~ iPr_def_23
    | ~ c1_1(a708) ),
    inference(instantiation,[status(thm)],[c_16913]) ).

tcf(c_17370,plain,
    ( c3_1(a697)
    | c1_1(a697)
    | ~ iPr_def_25
    | ~ c2_1(a697) ),
    inference(instantiation,[status(thm)],[c_16916]) ).

tcf(c_17371,plain,
    ( c1_1(a697)
    | ~ iPr_def_35
    | ~ c0_1(a697)
    | ~ c2_1(a697) ),
    inference(instantiation,[status(thm)],[c_16936]) ).

tcf(c_17374,plain,
    ( c3_1(a697)
    | c1_1(a697)
    | ~ iPr_def_19
    | ~ c0_1(a697) ),
    inference(instantiation,[status(thm)],[c_16908]) ).

tcf(c_17432,plain,
    ( c0_1(a733)
    | ~ iPr_def_37
    | ~ c3_1(a733)
    | ~ c1_1(a733) ),
    inference(instantiation,[status(thm)],[c_16943]) ).

tcf(c_17434,plain,
    ( c0_1(a760)
    | ~ iPr_def_37
    | ~ c3_1(a760)
    | ~ c1_1(a760) ),
    inference(instantiation,[status(thm)],[c_16943]) ).

tcf(c_17438,plain,
    ( c0_1(a710)
    | ~ iPr_def_37
    | ~ c3_1(a710)
    | ~ c1_1(a710) ),
    inference(instantiation,[status(thm)],[c_16943]) ).

tcf(c_17452,plain,
    ( c3_1(a696)
    | c2_1(a696)
    | ~ iPr_def_17
    | ~ c1_1(a696) ),
    inference(instantiation,[status(thm)],[c_16904]) ).

tcf(c_17455,plain,
    ( ~ iPr_def_29
    | ~ c0_1(a695)
    | ~ c3_1(a695)
    | ~ c1_1(a695) ),
    inference(instantiation,[status(thm)],[c_16923]) ).

tcf(c_17460,plain,
    ( ~ iPr_def_31
    | ~ c3_1(a733)
    | ~ c2_1(a733)
    | ~ c1_1(a733) ),
    inference(instantiation,[status(thm)],[c_16926]) ).

tcf(c_17461,plain,
    ( ~ iPr_def_31
    | ~ c3_1(a713)
    | ~ c2_1(a713)
    | ~ c1_1(a713) ),
    inference(instantiation,[status(thm)],[c_16926]) ).

tcf(c_17485,plain,
    ( c1_1(a713)
    | ~ iPr_def_15
    | ~ c3_1(a713)
    | ~ c2_1(a713) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_17532,plain,
    ( c2_1(a702)
    | c1_1(a702)
    | ~ iPr_def_26
    | ~ c0_1(a702) ),
    inference(instantiation,[status(thm)],[c_16918]) ).

tcf(c_17534,plain,
    ( c2_1(a702)
    | c1_1(a702)
    | ~ iPr_def_18
    | ~ c3_1(a702) ),
    inference(instantiation,[status(thm)],[c_16906]) ).

tcf(c_17538,plain,
    ( c0_1(a733)
    | ~ iPr_def_16
    | ~ c3_1(a733)
    | ~ c2_1(a733) ),
    inference(instantiation,[status(thm)],[c_16903]) ).

tcf(c_17540,plain,
    ( c0_1(a760)
    | ~ iPr_def_16
    | ~ c3_1(a760)
    | ~ c2_1(a760) ),
    inference(instantiation,[status(thm)],[c_16903]) ).

tcf(c_17541,plain,
    ( c0_1(a738)
    | ~ iPr_def_16
    | ~ c3_1(a738)
    | ~ c2_1(a738) ),
    inference(instantiation,[status(thm)],[c_16903]) ).

tcf(c_17549,plain,
    ( c0_1(a738)
    | c1_1(a738)
    | ~ iPr_def_20
    | ~ c2_1(a738) ),
    inference(instantiation,[status(thm)],[c_16909]) ).

tcf(c_17560,plain,
    ( c1_1(a751)
    | ~ iPr_def_35
    | ~ c0_1(a751)
    | ~ c2_1(a751) ),
    inference(instantiation,[status(thm)],[c_16936]) ).

tcf(c_17562,plain,
    ( c2_1(a751)
    | c1_1(a751)
    | ~ iPr_def_26
    | ~ c0_1(a751) ),
    inference(instantiation,[status(thm)],[c_16918]) ).

tcf(c_17565,plain,
    ( c0_1(a725)
    | c3_1(a725)
    | c1_1(a725)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_16962]) ).

tcf(c_17567,plain,
    ( c0_1(a725)
    | c1_1(a725)
    | ~ iPr_def_20
    | ~ c2_1(a725) ),
    inference(instantiation,[status(thm)],[c_16909]) ).

tcf(c_17588,plain,
    ( c3_1(a701)
    | c1_1(a701)
    | ~ iPr_def_25
    | ~ c2_1(a701) ),
    inference(instantiation,[status(thm)],[c_16916]) ).

tcf(c_17589,plain,
    ( c1_1(a701)
    | ~ iPr_def_35
    | ~ c0_1(a701)
    | ~ c2_1(a701) ),
    inference(instantiation,[status(thm)],[c_16936]) ).

tcf(c_17624,plain,
    ( c3_1(a695)
    | ~ iPr_def_30
    | ~ c0_1(a695)
    | ~ c2_1(a695) ),
    inference(instantiation,[status(thm)],[c_16925]) ).

tcf(c_17653,plain,
    ( c1_1(a710)
    | ~ iPr_def_15
    | ~ c3_1(a710)
    | ~ c2_1(a710) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_17697,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17653,c_17624,c_17588,c_17589,c_17565,c_17567,c_17560,c_17562,c_17549,c_17541,c_17540,c_17538,c_17532,c_17534,c_17485,c_17461,c_17460,c_17455,c_17452,c_17438,c_17434,c_17432,c_17370,c_17371,c_17374,c_17366,c_17358,c_17357,c_17331,c_17323,c_17321,c_17319,c_17306,c_17304,c_17303,c_17299,c_17272,c_17267,c_17266,c_17263,c_17256,c_17258,c_17184,c_17183,c_17182,c_17180,c_17170,c_17168,c_17167,c_17166,c_17154,c_17149,c_17139,c_17113,c_17105,c_17103,c_17101,c_17099,c_17092,c_17089,c_17090,c_17087,c_17088,c_17085,c_17083,c_17071,c_17072,c_17067,c_17064,c_17060,c_17059,c_17057,c_17051,c_17050,c_17046,c_17042,c_17032,c_17030,c_17028,c_17025,c_17022,c_17018,c_17016,c_16987,c_16986,c_16985,c_16984,c_16982,c_16981,c_16980,c_16979,c_16976,c_16975,c_16972,c_16971,c_16970,c_16969,c_16967,c_16964,c_16963,c_16960,c_16958,c_16957,c_16956,c_16955,c_16951,c_16948,c_16946,c_16945,c_16944,c_16941,c_16940,c_16938,c_16937,c_16935,c_16931,c_16928,c_16920,c_16917,c_16914,c_16910,c_16907,c_16905,c_16901,c_16898,c_5088,c_5071,c_5054,c_4860,c_4850,c_4840,c_4584,c_4574,c_4564,c_4554,c_4544,c_4534,c_4524,c_4514,c_4504,c_4073,c_4063,c_3846,c_3836,c_3826,c_3816,c_3806,c_3796,c_3624,c_3614,c_3604,c_2628,c_2618,c_2608,c_2598,c_2588,c_2578,c_2361,c_2351,c_2341,c_578,c_466,c_457,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_344,c_345,c_346,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_360,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_284,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_279,c_281,c_282]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN472-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n003.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 01:25:21 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.14/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41  Running EPR theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42  
% 0.14/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42  
% 0.14/0.42  % Detected problem language: tptp
% 0.14/0.43  % Proving...
% 3.16/1.16  % SZS status Started for theBenchmark.p
% 3.16/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.16  
% 3.16/1.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.16/1.16  
% 3.16/1.16  % ------  iProver source info
% 3.16/1.16  
% 3.16/1.16  % git: date: 2026-07-19 20:42:38 +0200
% 3.16/1.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.16/1.16  % git: non_committed_changes: false
% 3.16/1.16  
% 3.16/1.16  % ------ Parsing...% successful
% 3.16/1.16  
% 3.16/1.16  
% 3.16/1.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.16/1.16  % 
% 3.16/1.16  
% 3.16/1.16  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.16/1.16  
% 3.16/1.16  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.16/1.16   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.16/1.16  % ------ Proving...
% 3.16/1.16  % ------ Problem Properties 
% 3.16/1.16  
% 3.16/1.16  % 
% 3.16/1.16  % clauses                               193
% 3.16/1.16  % conjectures                           187
% 3.16/1.16  % EPR                                   193
% 3.16/1.16  % Horn                                  103
% 3.16/1.16  % unary                                 0
% 3.16/1.16  % binary                                87
% 3.16/1.16  % lits                                  522
% 3.16/1.16  % lits eq                               0
% 3.16/1.16  % fd_pure                               0
% 3.16/1.16  % fd_pseudo                             0
% 3.16/1.16  % fd_cond                               0
% 3.16/1.16  % fd_pseudo_cond                        0
% 3.16/1.16  % AC symbols                            0
% 3.16/1.16  
% 3.16/1.16  % ------ Schedule EPR non Horn non eq is on
% 3.16/1.16  
% 3.16/1.16  % ------ no equalities: superposition off 
% 3.16/1.16  
% 3.16/1.16  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.16/1.16  
% 3.16/1.16  
% 3.16/1.16  % ------ 
% 3.16/1.16  % Current options:
% 3.16/1.16  % ------ 
% 3.16/1.16  
% 3.16/1.16  
% 3.16/1.16  % 
% 3.16/1.16  
% 3.16/1.16  % ------ Proving...
% 3.16/1.16  % 
% 3.16/1.16  
% 3.16/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.16  
% 3.16/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.17  
% 3.16/1.17  
%------------------------------------------------------------------------------