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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN507-1 : 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 : n017.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 03:40:36 PM UTC 2026

% Result   : Unsatisfiable 4.61s 1.63s
% Output   : CNFRefutation 4.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  520 (   2 unt;   0 def)
%            Number of atoms       : 2264 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2921 (1177   ~;1744   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   58 (  57 usr;  54 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  343 (   0 sgn 343   !;   0   ?; 265   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp11
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f10,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f17,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

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

fof(f32,negated_conjecture,
    ( hskp8
    | hskp12
    | hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f35,negated_conjecture,
    ( hskp0
    | hskp21
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f39,negated_conjecture,
    ( c1_1(a612)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( c2_1(a612)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( c3_1(a612)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ( c0_1(a611)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ( c1_1(a611)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c3_1(a611)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c0_1(a583)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c1_1(a583)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c2_1(a583)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f49,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c1_1(a648)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c3_1(a636)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f53,negated_conjecture,
    ( c0_1(a629)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( c3_1(a607)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c1_1(a606)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c1_1(a604)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c3_1(a604)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a600)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c2_1(a600)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c2_1(a599)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c0_1(a598)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c3_1(a598)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c1_1(a593)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c3_1(a593)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c2_1(a592)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f72,negated_conjecture,
    ( c0_1(a589)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c1_1(a589)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c0_1(a588)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c0_1(a587)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c2_1(a587)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f79,negated_conjecture,
    ( c1_1(a585)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c2_1(a585)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c1_1(a584)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f85,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a636) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a636) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f89,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a629) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a629) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a623) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a623) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a623) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a617) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a617) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f98,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a607) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a607) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a606) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a606) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a604) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a603) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a601) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a600) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a599) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a598) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a595) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a593) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a592) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a592) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f118,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a589) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a588) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a588) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a587) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f123,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a585) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a584) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a584) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp26
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp3
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f129,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f134,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp21
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp28
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp3
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp19
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp10
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp14
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp0
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp24
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp15
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp3
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp8
      | hskp27
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f163,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp26
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f173,negated_conjecture,
    ! [X0,X1] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | 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',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

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

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | 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',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c0_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

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

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

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

tcf(c_249,negated_conjecture,
    ( hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_258,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_265,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f17]) ).

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

tcf(c_280,negated_conjecture,
    ( hskp8
    | hskp12
    | hskp26 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_283,negated_conjecture,
    ( hskp0
    | hskp14
    | hskp21 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_287,negated_conjecture,
    ( c1_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_288,negated_conjecture,
    ( c2_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_289,negated_conjecture,
    ( c3_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_290,negated_conjecture,
    ( c0_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_291,negated_conjecture,
    ( c1_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_292,negated_conjecture,
    ( c3_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_293,negated_conjecture,
    ( c0_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_294,negated_conjecture,
    ( c1_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_295,negated_conjecture,
    ( c2_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_297,negated_conjecture,
    ( c0_1(a648)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_298,negated_conjecture,
    ( c1_1(a648)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_299,negated_conjecture,
    ( c3_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_301,negated_conjecture,
    ( c0_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_302,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_304,negated_conjecture,
    ( c3_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_305,negated_conjecture,
    ( c1_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_306,negated_conjecture,
    ( c1_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_307,negated_conjecture,
    ( c3_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_308,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_309,negated_conjecture,
    ( c0_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_310,negated_conjecture,
    ( c2_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_311,negated_conjecture,
    ( c2_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_312,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_313,negated_conjecture,
    ( c0_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_314,negated_conjecture,
    ( c3_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_315,negated_conjecture,
    ( c1_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_316,negated_conjecture,
    ( c3_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_317,negated_conjecture,
    ( c2_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_320,negated_conjecture,
    ( c0_1(a589)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_321,negated_conjecture,
    ( c1_1(a589)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_322,negated_conjecture,
    ( c0_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_323,negated_conjecture,
    ( c0_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_324,negated_conjecture,
    ( c2_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_327,negated_conjecture,
    ( c1_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_328,negated_conjecture,
    ( c2_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_329,negated_conjecture,
    ( c1_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a636) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a636) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a629) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a629) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a623) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a623) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a623) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a617) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a617) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a607) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a607) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a606) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a606) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a603) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a601) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a601) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a601) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a600) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a599) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a598) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a595) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a595) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a595) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a593) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a592) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a592) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a589) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a588) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a588) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a587) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a585) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a584) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a584) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp26
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp14
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_382,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp11
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp28
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp19
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp20
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp23
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp17
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp27
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

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

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

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

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

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

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

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

tcf(c_492,plain,
    ( hskp10
    | ~ ndr1_0
    | ~ c1_1(a583)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_442]) ).

tcf(c_493,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_279,c_283,c_279,c_265,c_258]) ).

tcf(c_556,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp14
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_283,c_279,c_265,c_258,c_377]) ).

tcf(c_562,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_375,c_283,c_279,c_265,c_258,c_375]) ).

tcf(c_565,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp26
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_374,c_283,c_279,c_265,c_258,c_374]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_388,c_283,c_279,c_265,c_258,c_388]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_387,c_283,c_279,c_265,c_258,c_387]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp28
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_283,c_279,c_265,c_258,c_385]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp11
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_283,c_279,c_265,c_258,c_384]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_382,c_283,c_279,c_265,c_258,c_382]) ).

tcf(c_616,plain,
    ! [X0: $i] :
      ( hskp8
      | hskp27
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_283,c_279,c_265,c_258,c_405]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp27
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_619,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_283,c_279,c_265,c_258,c_404]) ).

tcf(c_620,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp17
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_619]) ).

tcf(c_621,plain,
    ( hskp4
    | hskp17
    | c3_1(a583)
    | ~ c1_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_620]) ).

tcf(c_625,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp17
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_283,c_279,c_265,c_258,c_402]) ).

tcf(c_626,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp17
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_625]) ).

tcf(c_628,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_283,c_279,c_265,c_258,c_401]) ).

tcf(c_629,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_628]) ).

tcf(c_634,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp24
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_283,c_279,c_265,c_258,c_399]) ).

tcf(c_635,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp24
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_634]) ).

tcf(c_640,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp11
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_283,c_279,c_265,c_258,c_397]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp11
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_646,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp23
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_283,c_279,c_265,c_258,c_395]) ).

tcf(c_647,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp23
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_646]) ).

tcf(c_652,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_283,c_279,c_265,c_258,c_393]) ).

tcf(c_653,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp10
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_652]) ).

tcf(c_655,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp20
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_283,c_279,c_265,c_258,c_392]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp20
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_655]) ).

tcf(c_658,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp19
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_283,c_279,c_265,c_258,c_391]) ).

tcf(c_659,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp19
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_658]) ).

tcf(c_661,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_283,c_279,c_265,c_258,c_413]) ).

tcf(c_662,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_661]) ).

tcf(c_664,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_412,c_283,c_279,c_265,c_258,c_412]) ).

tcf(c_665,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp12
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_664]) ).

tcf(c_667,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_283,c_279,c_265,c_258,c_411]) ).

tcf(c_668,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp20
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_667]) ).

tcf(c_675,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_283,c_279,c_265,c_258,c_415]) ).

tcf(c_682,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_283,c_279,c_265,c_258,c_421]) ).

tcf(c_683,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_682]) ).

tcf(c_688,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_283,c_279,c_265,c_258,c_418]) ).

tcf(c_689,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_688]) ).

tcf(c_690,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_283,c_279,c_265,c_258,c_417]) ).

tcf(c_691,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_690]) ).

tcf(c_695,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_283,c_279,c_265,c_258,c_431]) ).

tcf(c_696,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_695]) ).

tcf(c_697,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_283,c_279,c_265,c_258,c_430]) ).

tcf(c_698,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_697]) ).

tcf(c_700,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_283,c_279,c_265,c_258,c_429]) ).

tcf(c_701,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_700]) ).

tcf(c_702,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_283,c_279,c_265,c_258,c_428]) ).

tcf(c_703,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_702]) ).

tcf(c_704,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_283,c_279,c_265,c_258,c_427]) ).

tcf(c_705,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_704]) ).

tcf(c_706,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_283,c_279,c_265,c_258,c_426]) ).

tcf(c_707,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_706]) ).

tcf(c_708,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_283,c_279,c_265,c_258,c_425]) ).

tcf(c_709,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_708]) ).

tcf(c_718,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_283,c_279,c_265,c_258,c_435]) ).

tcf(c_719,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_718]) ).

tcf(c_720,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_283,c_279,c_265,c_258,c_434]) ).

tcf(c_721,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_720]) ).

tcf(c_722,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_283,c_279,c_265,c_258,c_433]) ).

tcf(c_723,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_722]) ).

tcf(c_724,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_283,c_279,c_265,c_258,c_440]) ).

tcf(c_725,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_724]) ).

tcf(c_726,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_283,c_279,c_265,c_258,c_439]) ).

tcf(c_727,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_726]) ).

tcf(c_728,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_283,c_279,c_265,c_258,c_438]) ).

tcf(c_729,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_728]) ).

tcf(c_730,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_283,c_279,c_265,c_258,c_442]) ).

tcf(c_731,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_730]) ).

tcf(c_732,plain,
    ( hskp10
    | ~ c1_1(a583)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_731]) ).

tcf(c_733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_283,c_279,c_265,c_258,c_441]) ).

tcf(c_734,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_733]) ).

tcf(c_735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_283,c_279,c_265,c_258,c_443]) ).

tcf(c_736,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_735]) ).

tcf(c_737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_283,c_279,c_265,c_258,c_444]) ).

tcf(c_738,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_737]) ).

tcf(c_739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_445,c_493]) ).

tcf(c_740,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_739]) ).

tcf(c_741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_283,c_279,c_265,c_258,c_448]) ).

tcf(c_742,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_741]) ).

tcf(c_743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_283,c_279,c_265,c_258,c_447]) ).

tcf(c_744,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_743]) ).

tcf(c_745,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_283,c_279,c_265,c_258,c_446]) ).

tcf(c_746,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_745]) ).

tcf(c_4827,plain,
    ( hskp8
    | hskp26
    | ~ c3_1(a600) ),
    inference(resolution,[status(thm)],[c_280,c_356]) ).

tcf(c_4837,plain,
    ( hskp8
    | hskp26
    | c2_1(a600) ),
    inference(resolution,[status(thm)],[c_280,c_310]) ).

tcf(c_4847,plain,
    ( hskp8
    | hskp26
    | c0_1(a600) ),
    inference(resolution,[status(thm)],[c_280,c_309]) ).

tcf(c_6891,plain,
    ! [X0: $i] :
      ( hskp4
      | c3_1(X0)
      | ~ c2_1(a607)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_620,c_347]) ).

tcf(c_6892,plain,
    ( hskp4
    | c3_1(a583)
    | ~ c1_1(a583)
    | ~ c2_1(a607)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_6891]) ).

tcf(c_6908,plain,
    ! [X0: $i] :
      ( hskp4
      | c3_1(X0)
      | ~ c1_1(a607)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_620,c_346]) ).

tcf(c_6909,plain,
    ( hskp4
    | c3_1(a583)
    | ~ c1_1(a607)
    | ~ c1_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_6908]) ).

tcf(c_7725,plain,
    ( hskp26
    | ~ c1_1(a599) ),
    inference(resolution,[status(thm)],[c_249,c_357]) ).

tcf(c_7732,plain,
    ( hskp26
    | c3_1(a599) ),
    inference(resolution,[status(thm)],[c_249,c_312]) ).

tcf(c_7739,plain,
    ( hskp26
    | c2_1(a599) ),
    inference(resolution,[status(thm)],[c_249,c_311]) ).

tcf(c_8688,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c1_1(a598)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_731,c_358]) ).

tcf(c_8689,plain,
    ( ~ c1_1(a598)
    | ~ c1_1(a583)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_8688]) ).

tcf(c_8711,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(a598)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_731,c_314]) ).

tcf(c_8712,plain,
    ( c3_1(a598)
    | ~ c1_1(a583)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_8711]) ).

tcf(c_8734,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(a598)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_731,c_313]) ).

tcf(c_8735,plain,
    ( c0_1(a598)
    | ~ c1_1(a583)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_8734]) ).

tcf(c_8823,plain,
    ! [X0: $i] :
      ( hskp12
      | ~ c1_1(a598)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_665,c_358]) ).

tcf(c_8824,plain,
    ( hskp12
    | ~ c1_1(a598)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_8823]) ).

tcf(c_8840,plain,
    ! [X0: $i] :
      ( hskp12
      | c3_1(a598)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_665,c_314]) ).

tcf(c_8841,plain,
    ( hskp12
    | c3_1(a598)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_8840]) ).

tcf(c_8857,plain,
    ! [X0: $i] :
      ( hskp12
      | c0_1(a598)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_665,c_313]) ).

tcf(c_8858,plain,
    ( hskp12
    | c0_1(a598)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_8857]) ).

tcf(c_9855,plain,
    ! [X0: $i] :
      ( hskp27
      | c3_1(X0)
      | ~ c2_1(a593)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_617,c_362]) ).

tcf(c_9856,plain,
    ( hskp27
    | c3_1(a583)
    | ~ c2_1(a593)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_9855]) ).

tcf(c_9872,plain,
    ! [X0: $i] :
      ( hskp27
      | c3_1(a593)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_617,c_316]) ).

tcf(c_9873,plain,
    ( hskp27
    | c3_1(a593)
    | c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_9872]) ).

tcf(c_10110,plain,
    ( hskp12
    | hskp26
    | ~ c2_1(a593) ),
    inference(resolution,[status(thm)],[c_280,c_362]) ).

tcf(c_10120,plain,
    ( hskp12
    | hskp26
    | c3_1(a593) ),
    inference(resolution,[status(thm)],[c_280,c_316]) ).

tcf(c_10130,plain,
    ( hskp12
    | hskp26
    | c1_1(a593) ),
    inference(resolution,[status(thm)],[c_280,c_315]) ).

tcf(c_19606,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_746]) ).

tcf(c_19607,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_746]) ).

tcf(c_19608,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_746]) ).

tcf(c_19609,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_746]) ).

tcf(c_19610,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_744]) ).

tcf(c_19611,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_744]) ).

tcf(c_19612,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_744]) ).

tcf(c_19613,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_744]) ).

tcf(c_19614,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_742]) ).

tcf(c_19615,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_742]) ).

tcf(c_19616,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_740]) ).

tcf(c_19617,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_740]) ).

tcf(c_19618,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_740]) ).

tcf(c_19619,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_740]) ).

tcf(c_19620,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_738]) ).

tcf(c_19621,negated_conjecture,
    ( iPr_def_20
    | iPr_def_18
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_738]) ).

tcf(c_19622,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_736]) ).

tcf(c_19623,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_736]) ).

tcf(c_19624,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_736]) ).

tcf(c_19625,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_734]) ).

tcf(c_19626,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_734]) ).

tcf(c_19627,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_734]) ).

tcf(c_19628,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_734]) ).

tcf(c_19629,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_731]) ).

tcf(c_19630,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_731]) ).

tcf(c_19631,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_731]) ).

tcf(c_19632,negated_conjecture,
    ( iPr_def_27
    | iPr_def_13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_729]) ).

tcf(c_19633,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_727]) ).

tcf(c_19634,negated_conjecture,
    ( iPr_def_28
    | iPr_def_12
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_727]) ).

tcf(c_19635,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_725]) ).

tcf(c_19636,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_725]) ).

tcf(c_19637,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_723]) ).

tcf(c_19638,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_723]) ).

tcf(c_19639,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_721]) ).

tcf(c_19640,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_721]) ).

tcf(c_19641,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_719]) ).

tcf(c_19642,negated_conjecture,
    ( iPr_def_32
    | iPr_def_21
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_719]) ).

tcf(c_19648,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_709]) ).

tcf(c_19649,negated_conjecture,
    ( iPr_def_34
    | iPr_def_23
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_709]) ).

tcf(c_19650,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_707]) ).

tcf(c_19651,negated_conjecture,
    ( iPr_def_35
    | iPr_def_16
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_707]) ).

tcf(c_19652,negated_conjecture,
    ( iPr_def_35
    | iPr_def_19
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_705]) ).

tcf(c_19653,negated_conjecture,
    ( iPr_def_25
    | iPr_def_10
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_703]) ).

tcf(c_19654,negated_conjecture,
    ( iPr_def_22
    | iPr_def_19
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_701]) ).

tcf(c_19655,negated_conjecture,
    ( iPr_def_31
    | iPr_def_14
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).

tcf(c_19656,negated_conjecture,
    ( iPr_def_25
    | iPr_def_19
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).

tcf(c_19659,negated_conjecture,
    ( iPr_def_24
    | iPr_def_21
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_691]) ).

tcf(c_19660,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_689]) ).

tcf(c_19661,negated_conjecture,
    ( iPr_def_37
    | iPr_def_23
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_689]) ).

tcf(c_19666,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_683]) ).

tcf(c_19667,negated_conjecture,
    ( iPr_def_40
    | iPr_def_34
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).

tcf(c_19670,negated_conjecture,
    ( iPr_def_40
    | iPr_def_30
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).

tcf(c_19673,negated_conjecture,
    ( iPr_def_12
    | hskp19
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).

tcf(c_19674,negated_conjecture,
    ( iPr_def_15
    | hskp10
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_665]) ).

tcf(c_19675,negated_conjecture,
    ( iPr_def_26
    | hskp1
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).

tcf(c_19676,negated_conjecture,
    ( iPr_def_13
    | hskp13
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).

tcf(c_19677,negated_conjecture,
    ( iPr_def_21
    | hskp7
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).

tcf(c_19678,negated_conjecture,
    ( iPr_def_10
    | hskp4
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_653]) ).

tcf(c_19680,negated_conjecture,
    ( iPr_def_18
    | hskp14
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_647]) ).

tcf(c_19682,negated_conjecture,
    ( iPr_def_16
    | hskp0
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_19684,negated_conjecture,
    ( iPr_def_31
    | hskp5
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).

tcf(c_19686,negated_conjecture,
    ( iPr_def_31
    | hskp15
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_19687,negated_conjecture,
    ( iPr_def_29
    | hskp3
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).

tcf(c_19690,negated_conjecture,
    ( iPr_def_19
    | hskp8
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_19698,negated_conjecture,
    ( iPr_def_23
    | hskp7
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).

tcf(c_19700,negated_conjecture,
    ( iPr_def_22
    | hskp21
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

tcf(c_19701,negated_conjecture,
    ( iPr_def_22
    | hskp8
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_19703,negated_conjecture,
    ( iPr_def_37
    | hskp3
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).

tcf(c_19704,negated_conjecture,
    ( iPr_def_25
    | hskp3
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).

tcf(c_19707,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_565]) ).

tcf(c_19708,negated_conjecture,
    ( iPr_def_41
    | hskp0
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).

tcf(c_19709,negated_conjecture,
    ( iPr_def_24
    | hskp3
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).

tcf(c_19711,negated_conjecture,
    ( iPr_def_20
    | hskp4
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_556]) ).

tcf(c_19733,plain,
    ( c3_1(a583)
    | ~ iPr_def_19
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19618]) ).

tcf(c_19738,plain,
    ( c3_1(a583)
    | ~ iPr_def_32
    | ~ c1_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19641]) ).

tcf(c_19741,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a583)
    | ~ c3_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19608]) ).

tcf(c_19742,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19612]) ).

tcf(c_19744,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_19747,plain,
    ( c0_1(a604)
    | ~ iPr_def_10
    | ~ c3_1(a604)
    | ~ c2_1(a604) ),
    inference(instantiation,[status(thm)],[c_19606]) ).

tcf(c_19753,plain,
    ( c1_1(a607)
    | c2_1(a607)
    | ~ iPr_def_14
    | ~ c3_1(a607) ),
    inference(instantiation,[status(thm)],[c_19611]) ).

tcf(c_19754,plain,
    ( c1_1(a601)
    | c2_1(a601)
    | ~ iPr_def_14
    | ~ c3_1(a601) ),
    inference(instantiation,[status(thm)],[c_19611]) ).

tcf(c_19756,plain,
    ( c1_1(a588)
    | c2_1(a588)
    | ~ iPr_def_14
    | ~ c3_1(a588) ),
    inference(instantiation,[status(thm)],[c_19611]) ).

tcf(c_19759,plain,
    ( c3_1(a603)
    | ~ iPr_def_19
    | ~ c2_1(a603)
    | ~ c0_1(a603) ),
    inference(instantiation,[status(thm)],[c_19618]) ).

tcf(c_19760,plain,
    ( c3_1(a600)
    | ~ iPr_def_19
    | ~ c2_1(a600)
    | ~ c0_1(a600) ),
    inference(instantiation,[status(thm)],[c_19618]) ).

tcf(c_19765,plain,
    ( c0_1(a604)
    | ~ iPr_def_21
    | ~ c1_1(a604)
    | ~ c3_1(a604) ),
    inference(instantiation,[status(thm)],[c_19622]) ).

tcf(c_19773,plain,
    ( c2_1(a593)
    | c0_1(a593)
    | ~ iPr_def_23
    | ~ c1_1(a593) ),
    inference(instantiation,[status(thm)],[c_19625]) ).

tcf(c_19775,plain,
    ( c2_1(a584)
    | c0_1(a584)
    | ~ iPr_def_23
    | ~ c1_1(a584) ),
    inference(instantiation,[status(thm)],[c_19625]) ).

tcf(c_19778,plain,
    ( c1_1(a623)
    | c2_1(a623)
    | ~ iPr_def_22
    | ~ c0_1(a623) ),
    inference(instantiation,[status(thm)],[c_19623]) ).

tcf(c_19780,plain,
    ( c1_1(a607)
    | c2_1(a607)
    | ~ iPr_def_22
    | ~ c0_1(a607) ),
    inference(instantiation,[status(thm)],[c_19623]) ).

tcf(c_19783,plain,
    ( c1_1(a588)
    | c2_1(a588)
    | ~ iPr_def_22
    | ~ c0_1(a588) ),
    inference(instantiation,[status(thm)],[c_19623]) ).

tcf(c_19796,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a612)
    | ~ c3_1(a612)
    | ~ c0_1(a612) ),
    inference(instantiation,[status(thm)],[c_19608]) ).

tcf(c_19797,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a611)
    | ~ c3_1(a611)
    | ~ c0_1(a611) ),
    inference(instantiation,[status(thm)],[c_19608]) ).

tcf(c_19802,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a593)
    | ~ c3_1(a593)
    | ~ c0_1(a593) ),
    inference(instantiation,[status(thm)],[c_19608]) ).

tcf(c_19803,plain,
    ( c1_1(a617)
    | c0_1(a617)
    | ~ iPr_def_11
    | ~ c2_1(a617) ),
    inference(instantiation,[status(thm)],[c_19607]) ).

tcf(c_19807,plain,
    ( c1_1(a595)
    | c0_1(a595)
    | ~ iPr_def_11
    | ~ c2_1(a595) ),
    inference(instantiation,[status(thm)],[c_19607]) ).

tcf(c_19814,plain,
    ( c2_1(a593)
    | ~ iPr_def_16
    | ~ c1_1(a593)
    | ~ c0_1(a593) ),
    inference(instantiation,[status(thm)],[c_19614]) ).

tcf(c_19825,plain,
    ( c0_1(a604)
    | ~ iPr_def_13
    | ~ c1_1(a604)
    | ~ c2_1(a604) ),
    inference(instantiation,[status(thm)],[c_19610]) ).

tcf(c_19830,plain,
    ( c2_1(a606)
    | ~ iPr_def_16
    | ~ c1_1(a606)
    | ~ c0_1(a606) ),
    inference(instantiation,[status(thm)],[c_19614]) ).

tcf(c_19838,plain,
    ( c1_1(a601)
    | c3_1(a601)
    | c0_1(a601)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19626]) ).

tcf(c_19839,plain,
    ( c1_1(a595)
    | c3_1(a595)
    | c0_1(a595)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19626]) ).

tcf(c_19842,plain,
    ( c1_1(a623)
    | c3_1(a623)
    | c0_1(a623)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19626]) ).

tcf(c_19878,plain,
    ( c1_1(a599)
    | ~ iPr_def_18
    | ~ c3_1(a599)
    | ~ c2_1(a599) ),
    inference(instantiation,[status(thm)],[c_19617]) ).

tcf(c_19879,plain,
    ( c1_1(a598)
    | ~ iPr_def_18
    | ~ c3_1(a598)
    | ~ c2_1(a598) ),
    inference(instantiation,[status(thm)],[c_19617]) ).

tcf(c_19893,plain,
    ( c0_1(a612)
    | ~ iPr_def_21
    | ~ c1_1(a612)
    | ~ c3_1(a612) ),
    inference(instantiation,[status(thm)],[c_19622]) ).

tcf(c_19900,plain,
    ( c2_1(a607)
    | c0_1(a607)
    | ~ iPr_def_35
    | ~ c3_1(a607) ),
    inference(instantiation,[status(thm)],[c_19650]) ).

tcf(c_19903,plain,
    ( c2_1(a593)
    | c0_1(a593)
    | ~ iPr_def_35
    | ~ c3_1(a593) ),
    inference(instantiation,[status(thm)],[c_19650]) ).

tcf(c_19909,plain,
    ( c0_1(a593)
    | ~ iPr_def_21
    | ~ c1_1(a593)
    | ~ c3_1(a593) ),
    inference(instantiation,[status(thm)],[c_19622]) ).

tcf(c_19911,plain,
    ( c2_1(a589)
    | ~ iPr_def_16
    | ~ c1_1(a589)
    | ~ c0_1(a589) ),
    inference(instantiation,[status(thm)],[c_19614]) ).

tcf(c_19924,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a599)
    | ~ c2_1(a599)
    | ~ c0_1(a599) ),
    inference(instantiation,[status(thm)],[c_19612]) ).

tcf(c_19925,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a598)
    | ~ c2_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19612]) ).

tcf(c_19939,plain,
    ( c1_1(a636)
    | c0_1(a636)
    | ~ iPr_def_30
    | ~ c3_1(a636) ),
    inference(instantiation,[status(thm)],[c_19637]) ).

tcf(c_19941,plain,
    ( c1_1(a607)
    | c0_1(a607)
    | ~ iPr_def_30
    | ~ c3_1(a607) ),
    inference(instantiation,[status(thm)],[c_19637]) ).

tcf(c_19942,plain,
    ( c1_1(a599)
    | c0_1(a599)
    | ~ iPr_def_30
    | ~ c3_1(a599) ),
    inference(instantiation,[status(thm)],[c_19637]) ).

tcf(c_19946,plain,
    ( c1_1(a601)
    | c0_1(a601)
    | ~ iPr_def_30
    | ~ c3_1(a601) ),
    inference(instantiation,[status(thm)],[c_19637]) ).

tcf(c_19951,plain,
    ( c3_1(a623)
    | c2_1(a623)
    | ~ iPr_def_25
    | ~ c0_1(a623) ),
    inference(instantiation,[status(thm)],[c_19627]) ).

tcf(c_19954,plain,
    ( c3_1(a606)
    | c2_1(a606)
    | ~ iPr_def_25
    | ~ c0_1(a606) ),
    inference(instantiation,[status(thm)],[c_19627]) ).

tcf(c_19974,plain,
    ( c0_1(a585)
    | ~ iPr_def_13
    | ~ c1_1(a585)
    | ~ c2_1(a585) ),
    inference(instantiation,[status(thm)],[c_19610]) ).

tcf(c_19976,plain,
    ( c3_1(a585)
    | c0_1(a585)
    | ~ iPr_def_17
    | ~ c1_1(a585) ),
    inference(instantiation,[status(thm)],[c_19616]) ).

tcf(c_19977,plain,
    ( c0_1(a585)
    | ~ iPr_def_21
    | ~ c1_1(a585)
    | ~ c3_1(a585) ),
    inference(instantiation,[status(thm)],[c_19622]) ).

tcf(c_19978,plain,
    ( c0_1(a585)
    | ~ iPr_def_10
    | ~ c3_1(a585)
    | ~ c2_1(a585) ),
    inference(instantiation,[status(thm)],[c_19606]) ).

tcf(c_19987,plain,
    ( c2_1(a607)
    | ~ iPr_def_31
    | ~ c3_1(a607)
    | ~ c0_1(a607) ),
    inference(instantiation,[status(thm)],[c_19639]) ).

tcf(c_19989,plain,
    ( c2_1(a598)
    | ~ iPr_def_31
    | ~ c3_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19639]) ).

tcf(c_19990,plain,
    ( c2_1(a593)
    | ~ iPr_def_31
    | ~ c3_1(a593)
    | ~ c0_1(a593) ),
    inference(instantiation,[status(thm)],[c_19639]) ).

tcf(c_19997,plain,
    ( c1_1(a598)
    | ~ iPr_def_28
    | ~ c3_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19633]) ).

tcf(c_20012,plain,
    ( c1_1(a598)
    | c2_1(a598)
    | ~ iPr_def_22
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19623]) ).

tcf(c_20014,plain,
    ( c1_1(a598)
    | c2_1(a598)
    | ~ iPr_def_14
    | ~ c3_1(a598) ),
    inference(instantiation,[status(thm)],[c_19611]) ).

tcf(c_20030,plain,
    ( c3_1(a606)
    | c0_1(a606)
    | ~ iPr_def_17
    | ~ c1_1(a606) ),
    inference(instantiation,[status(thm)],[c_19616]) ).

tcf(c_20127,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ iPr_def_23
    | ~ c1_1(a604) ),
    inference(instantiation,[status(thm)],[c_19625]) ).

tcf(c_20148,plain,
    ( c3_1(a587)
    | ~ iPr_def_19
    | ~ c2_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19618]) ).

tcf(c_20150,plain,
    ( c1_1(a599)
    | ~ iPr_def_28
    | ~ c3_1(a599)
    | ~ c0_1(a599) ),
    inference(instantiation,[status(thm)],[c_19633]) ).

tcf(c_20159,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a648)
    | ~ c2_1(a648)
    | ~ c0_1(a648) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_20165,plain,
    ( c1_1(a623)
    | c3_1(a623)
    | c2_1(a623)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_20173,plain,
    ( c3_1(a623)
    | c2_1(a623)
    | c0_1(a623)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19620]) ).

tcf(c_20176,plain,
    ( c3_1(a606)
    | c2_1(a606)
    | c0_1(a606)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19620]) ).

tcf(c_20177,plain,
    ( c3_1(a601)
    | c2_1(a601)
    | c0_1(a601)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19620]) ).

tcf(c_20179,plain,
    ( c3_1(a584)
    | c2_1(a584)
    | c0_1(a584)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19620]) ).

tcf(c_20184,plain,
    ( c2_1(a648)
    | ~ iPr_def_16
    | ~ c1_1(a648)
    | ~ c0_1(a648) ),
    inference(instantiation,[status(thm)],[c_19614]) ).

tcf(c_20189,plain,
    ( c1_1(a603)
    | c3_1(a603)
    | c2_1(a603)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_20190,plain,
    ( c3_1(a603)
    | c2_1(a603)
    | ~ iPr_def_25
    | ~ c0_1(a603) ),
    inference(instantiation,[status(thm)],[c_19627]) ).

tcf(c_20192,plain,
    ( c1_1(a603)
    | c2_1(a603)
    | ~ iPr_def_22
    | ~ c0_1(a603) ),
    inference(instantiation,[status(thm)],[c_19623]) ).

tcf(c_20207,plain,
    ( c1_1(a598)
    | ~ iPr_def_34
    | ~ c2_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19648]) ).

tcf(c_20209,plain,
    ( c1_1(a587)
    | ~ iPr_def_34
    | ~ c2_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19648]) ).

tcf(c_20219,plain,
    ( c2_1(a593)
    | ~ iPr_def_29
    | ~ c1_1(a593)
    | ~ c3_1(a593) ),
    inference(instantiation,[status(thm)],[c_19635]) ).

tcf(c_20231,plain,
    ( c3_1(a629)
    | c2_1(a629)
    | ~ iPr_def_25
    | ~ c0_1(a629) ),
    inference(instantiation,[status(thm)],[c_19627]) ).

tcf(c_20245,plain,
    ( c1_1(a601)
    | c2_1(a601)
    | c0_1(a601)
    | ~ iPr_def_41 ),
    inference(instantiation,[status(thm)],[c_19707]) ).

tcf(c_20265,plain,
    ( c1_1(a592)
    | c3_1(a592)
    | c0_1(a592)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19626]) ).

tcf(c_20275,plain,
    ( c1_1(a595)
    | c3_1(a595)
    | ~ iPr_def_37
    | ~ c2_1(a595) ),
    inference(instantiation,[status(thm)],[c_19660]) ).

tcf(c_20276,plain,
    ( c1_1(a592)
    | c3_1(a592)
    | ~ iPr_def_37
    | ~ c2_1(a592) ),
    inference(instantiation,[status(thm)],[c_19660]) ).

tcf(c_20301,plain,
    ( c3_1(a595)
    | c2_1(a595)
    | c0_1(a595)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19620]) ).

tcf(c_20322,plain,
    ( c2_1(a588)
    | ~ iPr_def_31
    | ~ c3_1(a588)
    | ~ c0_1(a588) ),
    inference(instantiation,[status(thm)],[c_19639]) ).

tcf(c_20369,plain,
    ( c0_1(a599)
    | ~ iPr_def_10
    | ~ c3_1(a599)
    | ~ c2_1(a599) ),
    inference(instantiation,[status(thm)],[c_19606]) ).

tcf(c_20401,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a612)
    | ~ c3_1(a612)
    | ~ c2_1(a612) ),
    inference(instantiation,[status(thm)],[c_19629]) ).

tcf(c_20500,plain,
    ( c2_1(a584)
    | c0_1(a584)
    | ~ iPr_def_35
    | ~ c3_1(a584) ),
    inference(instantiation,[status(thm)],[c_19650]) ).

tcf(c_20512,plain,
    ( c1_1(a588)
    | c3_1(a588)
    | c2_1(a588)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_20513,plain,
    ( c3_1(a588)
    | c2_1(a588)
    | ~ iPr_def_25
    | ~ c0_1(a588) ),
    inference(instantiation,[status(thm)],[c_19627]) ).

tcf(c_20551,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a587)
    | ~ c2_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19612]) ).

tcf(c_20557,plain,
    ( c3_1(a592)
    | c0_1(a592)
    | ~ iPr_def_17
    | ~ c1_1(a592) ),
    inference(instantiation,[status(thm)],[c_19616]) ).

tcf(c_20619,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20557,c_20551,c_20512,c_20513,c_20500,c_20401,c_20369,c_20322,c_20301,c_20276,c_20275,c_20265,c_20245,c_20231,c_20219,c_20209,c_20207,c_20189,c_20190,c_20192,c_20184,c_20179,c_20177,c_20176,c_20173,c_20165,c_20159,c_20150,c_20148,c_20127,c_20030,c_20012,c_20014,c_19997,c_19990,c_19989,c_19987,c_19974,c_19976,c_19977,c_19978,c_19954,c_19951,c_19946,c_19942,c_19941,c_19939,c_19925,c_19924,c_19911,c_19909,c_19903,c_19900,c_19893,c_19879,c_19878,c_19842,c_19839,c_19838,c_19830,c_19825,c_19814,c_19807,c_19803,c_19802,c_19797,c_19796,c_19783,c_19780,c_19778,c_19775,c_19773,c_19765,c_19760,c_19759,c_19756,c_19754,c_19753,c_19747,c_19744,c_19742,c_19741,c_19738,c_19733,c_19711,c_19709,c_19708,c_19704,c_19703,c_19701,c_19700,c_19698,c_19690,c_19687,c_19686,c_19684,c_19682,c_19680,c_19678,c_19677,c_19676,c_19675,c_19674,c_19673,c_19670,c_19667,c_19661,c_19659,c_19656,c_19655,c_19654,c_19653,c_19652,c_19651,c_19649,c_19642,c_19640,c_19638,c_19636,c_19634,c_19632,c_19631,c_19628,c_19624,c_19621,c_19619,c_19615,c_19613,c_19609,c_10130,c_10120,c_10110,c_9873,c_9856,c_8858,c_8841,c_8824,c_8735,c_8712,c_8689,c_7739,c_7732,c_7725,c_6909,c_6892,c_4847,c_4837,c_4827,c_732,c_621,c_493,c_492,c_333,c_334,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_366,c_367,c_368,c_369,c_371,c_372,c_373,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_297,c_298,c_299,c_301,c_302,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_320,c_321,c_322,c_323,c_324,c_327,c_328,c_329,c_280,c_249]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN507-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n017.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 01:32:05 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running EPR theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 4.61/1.63  % SZS status Started for theBenchmark.p
% 4.61/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 4.61/1.63  
% 4.61/1.63  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.61/1.63  
% 4.61/1.63  % ------  iProver source info
% 4.61/1.63  
% 4.61/1.63  % git: date: 2026-07-19 20:42:38 +0200
% 4.61/1.63  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.61/1.63  % git: non_committed_changes: false
% 4.61/1.63  
% 4.61/1.63  % ------ Parsing...% successful
% 4.61/1.63  
% 4.61/1.63  
% 4.61/1.63  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.61/1.63  % 
% 4.61/1.63  
% 4.61/1.63  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.61/1.63  
% 4.61/1.63  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.61/1.63   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.61/1.63  % ------ Proving...
% 4.61/1.63  % ------ Problem Properties 
% 4.61/1.63  
% 4.61/1.63  % 
% 4.61/1.63  % clauses                               202
% 4.61/1.63  % conjectures                           202
% 4.61/1.63  % EPR                                   202
% 4.61/1.63  % Horn                                  106
% 4.61/1.63  % unary                                 0
% 4.61/1.63  % binary                                91
% 4.61/1.63  % lits                                  547
% 4.61/1.63  % lits eq                               0
% 4.61/1.63  % fd_pure                               0
% 4.61/1.63  % fd_pseudo                             0
% 4.61/1.63  % fd_cond                               0
% 4.61/1.63  % fd_pseudo_cond                        0
% 4.61/1.63  % AC symbols                            0
% 4.61/1.63  
% 4.61/1.63  % ------ Schedule EPR non Horn non eq is on
% 4.61/1.63  
% 4.61/1.63  % ------ no equalities: superposition off 
% 4.61/1.63  
% 4.61/1.63  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.61/1.63  
% 4.61/1.63  
% 4.61/1.63  % ------ 
% 4.61/1.63  % Current options:
% 4.61/1.63  % ------ 
% 4.61/1.63  
% 4.61/1.63  
% 4.61/1.63  % 
% 4.61/1.63  
% 4.61/1.63  % ------ Proving...
% 4.61/1.63  % 
% 4.61/1.63  
% 4.61/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 4.61/1.63  
% 4.61/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.61/1.64  
% 4.61/1.64  
%------------------------------------------------------------------------------