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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN479-1 : 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 : n011.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 03:40:27 PM UTC 2026

% Result   : Unsatisfiable 4.36s 1.16s
% Output   : CNFRefutation 4.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   92
% Syntax   : Number of formulae    :  377 (   2 unt;   0 def)
%            Number of atoms       : 1711 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2206 ( 872   ~;1334   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   47 (  46 usr;  43 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  291 (   0 sgn 291   !;   0   ?; 225   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f22,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f31,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

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

fof(f36,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f38,negated_conjecture,
    ( hskp1
    | hskp10
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( hskp17
    | hskp3
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f54,negated_conjecture,
    ( c1_1(a1504)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( c2_1(a1504)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f57,negated_conjecture,
    ( c2_1(a1477)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c1_1(a1468)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c3_1(a1468)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f64,negated_conjecture,
    ( c0_1(a1458)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c1_1(a1458)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f69,negated_conjecture,
    ( c2_1(a1451)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f72,negated_conjecture,
    ( c0_1(a1448)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c3_1(a1448)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c0_1(a1445)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c0_1(a1441)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c3_1(a1441)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a1438)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c0_1(a1437)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c0_1(a1435)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c1_1(a1434)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c3_1(a1434)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c1_1(a1431)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c3_1(a1430)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c2_1(a1429)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c3_1(a1429)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c0_1(a1427)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c2_1(a1427)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f90,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f93,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f101,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f111,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f120,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f124,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1437) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f128,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f131,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f132,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1429) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f133,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp8
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp0
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f152,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp25
      | hskp0
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

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

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

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

fof(f162,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | 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',clause176) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | 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',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp12
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

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

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

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

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

fof(f190,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c0_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',clause190) ).

fof(f192,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c3_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',clause192) ).

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

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

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

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

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

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_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)
      | c3_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_268,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_270,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_279,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_280,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_284,negated_conjecture,
    ( hskp8
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_286,negated_conjecture,
    ( hskp1
    | hskp10
    | hskp12 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_287,negated_conjecture,
    ( hskp2
    | hskp17
    | hskp25 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_288,negated_conjecture,
    ( hskp3
    | hskp17
    | hskp22 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_303,negated_conjecture,
    ( c2_1(a1504)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_305,negated_conjecture,
    ( c2_1(a1477)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_306,negated_conjecture,
    ( c1_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_307,negated_conjecture,
    ( c3_1(a1468)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_312,negated_conjecture,
    ( c0_1(a1458)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_313,negated_conjecture,
    ( c1_1(a1458)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_317,negated_conjecture,
    ( c2_1(a1451)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_320,negated_conjecture,
    ( c0_1(a1448)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_321,negated_conjecture,
    ( c3_1(a1448)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_322,negated_conjecture,
    ( c0_1(a1445)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_323,negated_conjecture,
    ( c0_1(a1441)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_324,negated_conjecture,
    ( c3_1(a1441)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_325,negated_conjecture,
    ( c3_1(a1438)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_326,negated_conjecture,
    ( c0_1(a1437)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_327,negated_conjecture,
    ( c0_1(a1435)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_328,negated_conjecture,
    ( c1_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_329,negated_conjecture,
    ( c3_1(a1434)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_330,negated_conjecture,
    ( c1_1(a1431)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_331,negated_conjecture,
    ( c3_1(a1430)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_332,negated_conjecture,
    ( c2_1(a1429)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_333,negated_conjecture,
    ( c3_1(a1429)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_334,negated_conjecture,
    ( c0_1(a1427)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_335,negated_conjecture,
    ( c2_1(a1427)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1504) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1477) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1477) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a1468) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1458) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1457) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1457) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1457) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1451) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1451) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1448) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1447) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1447) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1447) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1445) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1445) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1441) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1438) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1438) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1437) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1435) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1435) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1431) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1431) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1430) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1430) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_380,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1429) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_381,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1427) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp4
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp11
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp17
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp25
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

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

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

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

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

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

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

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

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

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

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

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

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

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

tcf(c_460,plain,
    ( hskp11
    | hskp12
    | c3_1(a1427)
    | ~ ndr1_0
    | ~ c2_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_477,plain,
    ( hskp23
    | c3_1(a1427)
    | ~ ndr1_0
    | ~ c2_1(a1427)
    | ~ c1_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_440]) ).

tcf(c_478,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_280,c_286,c_279,c_270,c_268]) ).

tcf(c_540,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_383,c_286,c_279,c_270,c_268,c_383]) ).

tcf(c_570,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp4
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_286,c_279,c_270,c_268,c_384]) ).

tcf(c_573,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_400,c_286,c_279,c_270,c_268,c_400]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_573]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp17
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_286,c_279,c_270,c_268,c_397]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp17
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_588,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp11
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_286,c_279,c_270,c_268,c_395]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp11
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_600,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp25
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_286,c_279,c_270,c_268,c_402]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp25
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_600]) ).

tcf(c_606,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_286,c_279,c_270,c_268,c_404]) ).

tcf(c_609,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_286,c_279,c_270,c_268,c_405]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_286,c_279,c_270,c_268,c_410]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_621,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_286,c_279,c_270,c_268,c_408]) ).

tcf(c_622,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_621]) ).

tcf(c_623,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_286,c_279,c_270,c_268,c_407]) ).

tcf(c_624,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_623]) ).

tcf(c_631,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_286,c_279,c_270,c_268,c_424]) ).

tcf(c_632,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_631]) ).

tcf(c_646,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_286,c_279,c_270,c_268,c_417]) ).

tcf(c_647,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_646]) ).

tcf(c_651,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_286,c_279,c_270,c_268,c_415]) ).

tcf(c_652,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_651]) ).

tcf(c_653,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_286,c_279,c_270,c_268,c_414]) ).

tcf(c_654,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_653]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_436,c_286,c_279,c_270,c_268,c_436]) ).

tcf(c_658,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_657]) ).

tcf(c_659,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_286,c_279,c_270,c_268,c_435]) ).

tcf(c_660,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_659]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_286,c_279,c_270,c_268,c_434]) ).

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

tcf(c_665,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_286,c_279,c_270,c_268,c_432]) ).

tcf(c_666,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_665]) ).

tcf(c_667,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_286,c_279,c_270,c_268,c_431]) ).

tcf(c_668,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_667]) ).

tcf(c_669,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_286,c_279,c_270,c_268,c_430]) ).

tcf(c_670,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_669]) ).

tcf(c_676,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_286,c_279,c_270,c_268,c_427]) ).

tcf(c_677,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_676]) ).

tcf(c_678,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_286,c_279,c_270,c_268,c_440]) ).

tcf(c_679,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_678]) ).

tcf(c_683,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_286,c_279,c_270,c_268,c_438]) ).

tcf(c_684,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_683]) ).

tcf(c_685,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_286,c_279,c_270,c_268,c_437]) ).

tcf(c_687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_441,c_286,c_279,c_270,c_268,c_441]) ).

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

tcf(c_691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_286,c_279,c_270,c_268,c_442]) ).

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

tcf(c_693,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_286,c_279,c_270,c_268,c_444]) ).

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

tcf(c_695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_445,c_478]) ).

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

tcf(c_697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_286,c_279,c_270,c_268,c_448]) ).

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

tcf(c_699,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_286,c_279,c_270,c_268,c_447]) ).

tcf(c_700,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_699]) ).

tcf(c_701,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_286,c_279,c_270,c_268,c_446]) ).

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

tcf(c_2666,plain,
    ( hskp1
    | hskp12
    | ~ c3_1(a1445) ),
    inference(resolution,[status(thm)],[c_286,c_364]) ).

tcf(c_2676,plain,
    ( hskp1
    | hskp12
    | ~ c1_1(a1445) ),
    inference(resolution,[status(thm)],[c_286,c_363]) ).

tcf(c_2686,plain,
    ( hskp1
    | hskp12
    | c0_1(a1445) ),
    inference(resolution,[status(thm)],[c_286,c_322]) ).

tcf(c_3287,plain,
    ( hskp2
    | hskp17
    | ~ c0_1(a1504) ),
    inference(resolution,[status(thm)],[c_287,c_338]) ).

tcf(c_3297,plain,
    ( hskp2
    | hskp17
    | c2_1(a1504) ),
    inference(resolution,[status(thm)],[c_287,c_303]) ).

tcf(c_3307,plain,
    ( hskp2
    | hskp17
    | c1_1(a1504) ),
    inference(resolution,[status(thm)],[c_287,c_302]) ).

tcf(c_3458,plain,
    ( hskp10
    | hskp12
    | ~ c0_1(a1429) ),
    inference(resolution,[status(thm)],[c_286,c_380]) ).

tcf(c_3468,plain,
    ( hskp10
    | hskp12
    | c3_1(a1429) ),
    inference(resolution,[status(thm)],[c_286,c_333]) ).

tcf(c_3884,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | ~ c1_1(a1477)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_679,c_342]) ).

tcf(c_3885,plain,
    ( c3_1(a1427)
    | ~ c2_1(a1427)
    | ~ c1_1(a1427)
    | ~ c1_1(a1477)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_3884]) ).

tcf(c_3930,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(a1477)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_679,c_305]) ).

tcf(c_3931,plain,
    ( c3_1(a1427)
    | c2_1(a1477)
    | ~ c2_1(a1427)
    | ~ c1_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_3930]) ).

tcf(c_5042,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(a1451)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_647,c_357]) ).

tcf(c_5043,plain,
    ( c3_1(a1427)
    | c0_1(a1427)
    | ~ c3_1(a1451)
    | ~ c2_1(a1427)
    | ~ c1_1(a1427) ),
    inference(instantiation,[status(thm)],[c_5042]) ).

tcf(c_5065,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(a1451)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_647,c_356]) ).

tcf(c_5066,plain,
    ( c3_1(a1427)
    | c0_1(a1427)
    | ~ c2_1(a1427)
    | ~ c1_1(a1427)
    | ~ c1_1(a1451) ),
    inference(instantiation,[status(thm)],[c_5065]) ).

tcf(c_5088,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(a1451)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_647,c_317]) ).

tcf(c_5089,plain,
    ( c3_1(a1427)
    | c2_1(a1451)
    | c0_1(a1427)
    | ~ c2_1(a1427)
    | ~ c1_1(a1427) ),
    inference(instantiation,[status(thm)],[c_5088]) ).

tcf(c_5942,plain,
    ( hskp12
    | hskp14
    | ~ c1_1(a1441) ),
    inference(resolution,[status(thm)],[c_284,c_368]) ).

tcf(c_5952,plain,
    ( hskp12
    | hskp14
    | c3_1(a1441) ),
    inference(resolution,[status(thm)],[c_284,c_324]) ).

tcf(c_5962,plain,
    ( hskp12
    | hskp14
    | c0_1(a1441) ),
    inference(resolution,[status(thm)],[c_284,c_323]) ).

tcf(c_6551,plain,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | ~ c3_1(a1447)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_574,c_362]) ).

tcf(c_6552,plain,
    ( hskp12
    | c3_1(a1427)
    | ~ c3_1(a1447)
    | ~ c2_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_6551]) ).

tcf(c_6568,plain,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | ~ c2_1(a1447)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_574,c_361]) ).

tcf(c_6569,plain,
    ( hskp12
    | c3_1(a1427)
    | ~ c2_1(a1447)
    | ~ c2_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_6568]) ).

tcf(c_6585,plain,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | ~ c0_1(a1447)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_574,c_360]) ).

tcf(c_6586,plain,
    ( hskp12
    | c3_1(a1427)
    | ~ c2_1(a1427)
    | ~ c0_1(a1447)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_6585]) ).

tcf(c_6953,plain,
    ( hskp17
    | hskp22
    | ~ c2_1(a1431) ),
    inference(resolution,[status(thm)],[c_288,c_377]) ).

tcf(c_6963,plain,
    ( hskp17
    | hskp22
    | ~ c0_1(a1431) ),
    inference(resolution,[status(thm)],[c_288,c_376]) ).

tcf(c_6973,plain,
    ( hskp17
    | hskp22
    | c1_1(a1431) ),
    inference(resolution,[status(thm)],[c_288,c_330]) ).

tcf(c_17534,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_702]) ).

tcf(c_17535,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_702]) ).

tcf(c_17536,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_702]) ).

tcf(c_17537,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_702]) ).

tcf(c_17538,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_700]) ).

tcf(c_17541,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_698]) ).

tcf(c_17543,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_696]) ).

tcf(c_17544,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_696]) ).

tcf(c_17545,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).

tcf(c_17546,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_694]) ).

tcf(c_17547,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_694]) ).

tcf(c_17548,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_694]) ).

tcf(c_17549,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).

tcf(c_17550,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_692]) ).

tcf(c_17551,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_692]) ).

tcf(c_17552,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_692]) ).

tcf(c_17553,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).

tcf(c_17557,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_688]) ).

tcf(c_17558,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_688]) ).

tcf(c_17559,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_688]) ).

tcf(c_17561,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_685]) ).

tcf(c_17563,negated_conjecture,
    ( iPr_def_16
    | iPr_def_12
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).

tcf(c_17569,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_677]) ).

tcf(c_17570,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_677]) ).

tcf(c_17571,negated_conjecture,
    ( iPr_def_34
    | iPr_def_33
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).

tcf(c_17576,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_670]) ).

tcf(c_17577,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_668]) ).

tcf(c_17579,negated_conjecture,
    ( iPr_def_34
    | iPr_def_13
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).

tcf(c_17581,negated_conjecture,
    ( iPr_def_15
    | iPr_def_10
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).

tcf(c_17582,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_660]) ).

tcf(c_17584,negated_conjecture,
    ( iPr_def_20
    | iPr_def_12
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).

tcf(c_17586,negated_conjecture,
    ( iPr_def_16
    | iPr_def_11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).

tcf(c_17587,negated_conjecture,
    ( iPr_def_26
    | iPr_def_17
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).

tcf(c_17589,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_647]) ).

tcf(c_17590,negated_conjecture,
    ( iPr_def_39
    | iPr_def_18
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_647]) ).

tcf(c_17597,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).

tcf(c_17601,negated_conjecture,
    ( iPr_def_26
    | iPr_def_19
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).

tcf(c_17602,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_622]) ).

tcf(c_17603,negated_conjecture,
    ( iPr_def_40
    | iPr_def_37
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).

tcf(c_17605,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_617]) ).

tcf(c_17606,negated_conjecture,
    ( iPr_def_41
    | iPr_def_29
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_17609,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).

tcf(c_17610,negated_conjecture,
    ( iPr_def_40
    | iPr_def_27
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

tcf(c_17612,negated_conjecture,
    ( iPr_def_34
    | hskp0
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).

tcf(c_17616,negated_conjecture,
    ( iPr_def_23
    | hskp0
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).

tcf(c_17618,negated_conjecture,
    ( iPr_def_17
    | hskp5
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_17621,negated_conjecture,
    ( iPr_def_38
    | hskp11
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).

tcf(c_17622,negated_conjecture,
    ( iPr_def_11
    | hskp0
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).

tcf(c_17632,negated_conjecture,
    ( iPr_def_40
    | hskp7
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).

tcf(c_17637,plain,
    ( c1_1(a1427)
    | c0_1(a1427)
    | ~ iPr_def_11
    | ~ c2_1(a1427) ),
    inference(instantiation,[status(thm)],[c_17535]) ).

tcf(c_17639,plain,
    ( c3_1(a1427)
    | c1_1(a1427)
    | ~ iPr_def_19
    | ~ c2_1(a1427) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_17641,plain,
    ( c3_1(a1427)
    | c1_1(a1427)
    | ~ iPr_def_22
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_17551]) ).

tcf(c_17650,plain,
    ( c3_1(a1427)
    | ~ iPr_def_15
    | ~ c1_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_17541]) ).

tcf(c_17654,plain,
    ( c1_1(a1427)
    | ~ iPr_def_23
    | ~ c2_1(a1427)
    | ~ c0_1(a1427) ),
    inference(instantiation,[status(thm)],[c_17552]) ).

tcf(c_17670,plain,
    ( c1_1(a1441)
    | ~ iPr_def_10
    | ~ c3_1(a1441)
    | ~ c2_1(a1441) ),
    inference(instantiation,[status(thm)],[c_17534]) ).

tcf(c_17674,plain,
    ( c1_1(a1477)
    | c0_1(a1477)
    | ~ iPr_def_11
    | ~ c2_1(a1477) ),
    inference(instantiation,[status(thm)],[c_17535]) ).

tcf(c_17682,plain,
    ( c1_1(a1429)
    | c0_1(a1429)
    | ~ iPr_def_11
    | ~ c2_1(a1429) ),
    inference(instantiation,[status(thm)],[c_17535]) ).

tcf(c_17688,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a1441)
    | ~ c2_1(a1441)
    | ~ c0_1(a1441) ),
    inference(instantiation,[status(thm)],[c_17536]) ).

tcf(c_17693,plain,
    ( c3_1(a1477)
    | c1_1(a1477)
    | ~ iPr_def_19
    | ~ c2_1(a1477) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_17698,plain,
    ( c3_1(a1451)
    | c1_1(a1451)
    | ~ iPr_def_19
    | ~ c2_1(a1451) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_17699,plain,
    ( c3_1(a1445)
    | c1_1(a1445)
    | ~ iPr_def_19
    | ~ c2_1(a1445) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_17707,plain,
    ( c2_1(a1457)
    | c1_1(a1457)
    | c0_1(a1457)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_17550]) ).

tcf(c_17708,plain,
    ( c2_1(a1447)
    | c1_1(a1447)
    | c0_1(a1447)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_17550]) ).

tcf(c_17715,plain,
    ( c3_1(a1457)
    | c2_1(a1457)
    | c1_1(a1457)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_17558]) ).

tcf(c_17717,plain,
    ( c3_1(a1447)
    | c2_1(a1447)
    | c1_1(a1447)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_17558]) ).

tcf(c_17736,plain,
    ( c0_1(a1468)
    | ~ iPr_def_16
    | ~ c3_1(a1468)
    | ~ c1_1(a1468) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17741,plain,
    ( c0_1(a1434)
    | ~ iPr_def_16
    | ~ c3_1(a1434)
    | ~ c1_1(a1434) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17742,plain,
    ( c0_1(a1430)
    | ~ iPr_def_16
    | ~ c3_1(a1430)
    | ~ c1_1(a1430) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17743,plain,
    ( c0_1(a1429)
    | ~ iPr_def_16
    | ~ c3_1(a1429)
    | ~ c1_1(a1429) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17795,plain,
    ( c2_1(a1430)
    | ~ iPr_def_37
    | ~ c3_1(a1430)
    | ~ c1_1(a1430) ),
    inference(instantiation,[status(thm)],[c_17577]) ).

tcf(c_17844,plain,
    ( c2_1(a1457)
    | c1_1(a1457)
    | ~ iPr_def_13
    | ~ c3_1(a1457) ),
    inference(instantiation,[status(thm)],[c_17538]) ).

tcf(c_17846,plain,
    ( c2_1(a1441)
    | c1_1(a1441)
    | ~ iPr_def_13
    | ~ c3_1(a1441) ),
    inference(instantiation,[status(thm)],[c_17538]) ).

tcf(c_17858,plain,
    ( c3_1(a1458)
    | c2_1(a1458)
    | ~ iPr_def_20
    | ~ c0_1(a1458) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

tcf(c_17861,plain,
    ( c3_1(a1445)
    | c2_1(a1445)
    | ~ iPr_def_20
    | ~ c0_1(a1445) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

tcf(c_17863,plain,
    ( c3_1(a1437)
    | c2_1(a1437)
    | ~ iPr_def_20
    | ~ c0_1(a1437) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

tcf(c_17864,plain,
    ( c3_1(a1435)
    | c2_1(a1435)
    | ~ iPr_def_20
    | ~ c0_1(a1435) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

tcf(c_17884,plain,
    ( ~ iPr_def_34
    | ~ c3_1(a1434)
    | ~ c1_1(a1434)
    | ~ c0_1(a1434) ),
    inference(instantiation,[status(thm)],[c_17570]) ).

tcf(c_17889,plain,
    ( c0_1(a1504)
    | ~ iPr_def_18
    | ~ c2_1(a1504)
    | ~ c1_1(a1504) ),
    inference(instantiation,[status(thm)],[c_17546]) ).

tcf(c_17895,plain,
    ( c3_1(a1504)
    | c0_1(a1504)
    | ~ iPr_def_39
    | ~ c2_1(a1504) ),
    inference(instantiation,[status(thm)],[c_17589]) ).

tcf(c_18006,plain,
    ( c3_1(a1447)
    | c2_1(a1447)
    | ~ iPr_def_29
    | ~ c1_1(a1447) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

tcf(c_18013,plain,
    ( c0_1(a1504)
    | ~ iPr_def_16
    | ~ c3_1(a1504)
    | ~ c1_1(a1504) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_18045,plain,
    ( c2_1(a1431)
    | c0_1(a1431)
    | ~ iPr_def_33
    | ~ c1_1(a1431) ),
    inference(instantiation,[status(thm)],[c_17569]) ).

tcf(c_18052,plain,
    ( c3_1(a1447)
    | c2_1(a1447)
    | c0_1(a1447)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17602]) ).

tcf(c_18060,plain,
    ( c3_1(a1447)
    | c0_1(a1447)
    | ~ iPr_def_41
    | ~ c1_1(a1447) ),
    inference(instantiation,[status(thm)],[c_17605]) ).

tcf(c_18069,plain,
    ( c2_1(a1430)
    | c1_1(a1430)
    | ~ iPr_def_13
    | ~ c3_1(a1430) ),
    inference(instantiation,[status(thm)],[c_17538]) ).

tcf(c_18121,plain,
    ( c3_1(a1451)
    | c1_1(a1451)
    | ~ iPr_def_22
    | ~ c0_1(a1451) ),
    inference(instantiation,[status(thm)],[c_17551]) ).

tcf(c_18151,plain,
    ( c3_1(a1451)
    | ~ iPr_def_38
    | ~ c2_1(a1451)
    | ~ c0_1(a1451) ),
    inference(instantiation,[status(thm)],[c_17582]) ).

tcf(c_18168,plain,
    ( c1_1(a1430)
    | c0_1(a1430)
    | ~ iPr_def_26
    | ~ c3_1(a1430) ),
    inference(instantiation,[status(thm)],[c_17557]) ).

tcf(c_18190,plain,
    ( c1_1(a1457)
    | c0_1(a1457)
    | ~ iPr_def_26
    | ~ c3_1(a1457) ),
    inference(instantiation,[status(thm)],[c_17557]) ).

tcf(c_18194,plain,
    ( c3_1(a1457)
    | c2_1(a1457)
    | c0_1(a1457)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17602]) ).

tcf(c_18205,plain,
    ( c2_1(a1448)
    | ~ iPr_def_17
    | ~ c3_1(a1448)
    | ~ c0_1(a1448) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_18215,plain,
    ( c2_1(a1445)
    | ~ iPr_def_17
    | ~ c3_1(a1445)
    | ~ c0_1(a1445) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_18258,plain,
    ( c2_1(a1458)
    | ~ iPr_def_37
    | ~ c3_1(a1458)
    | ~ c1_1(a1458) ),
    inference(instantiation,[status(thm)],[c_17577]) ).

tcf(c_18296,plain,
    ( c1_1(a1451)
    | c0_1(a1451)
    | ~ iPr_def_11
    | ~ c2_1(a1451) ),
    inference(instantiation,[status(thm)],[c_17535]) ).

tcf(c_18480,plain,
    ( c2_1(a1437)
    | ~ iPr_def_17
    | ~ c3_1(a1437)
    | ~ c0_1(a1437) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_18483,plain,
    ( c1_1(a1438)
    | c0_1(a1438)
    | ~ iPr_def_26
    | ~ c3_1(a1438) ),
    inference(instantiation,[status(thm)],[c_17557]) ).

tcf(c_18629,plain,
    ( c1_1(a1477)
    | ~ iPr_def_10
    | ~ c3_1(a1477)
    | ~ c2_1(a1477) ),
    inference(instantiation,[status(thm)],[c_17534]) ).

tcf(c_18650,plain,
    ( c1_1(a1451)
    | ~ iPr_def_23
    | ~ c2_1(a1451)
    | ~ c0_1(a1451) ),
    inference(instantiation,[status(thm)],[c_17552]) ).

tcf(c_18653,plain,
    ( c1_1(a1441)
    | ~ iPr_def_23
    | ~ c2_1(a1441)
    | ~ c0_1(a1441) ),
    inference(instantiation,[status(thm)],[c_17552]) ).

tcf(c_18686,plain,
    ( c2_1(a1441)
    | ~ iPr_def_17
    | ~ c3_1(a1441)
    | ~ c0_1(a1441) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_18855,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18686,c_18653,c_18650,c_18629,c_18483,c_18480,c_18296,c_18258,c_18215,c_18205,c_18190,c_18194,c_18168,c_18151,c_18121,c_18069,c_18060,c_18052,c_18045,c_18013,c_18006,c_17895,c_17889,c_17884,c_17864,c_17863,c_17861,c_17858,c_17846,c_17844,c_17795,c_17743,c_17742,c_17741,c_17736,c_17717,c_17715,c_17708,c_17707,c_17699,c_17698,c_17693,c_17688,c_17682,c_17674,c_17670,c_17654,c_17650,c_17641,c_17639,c_17637,c_17632,c_17622,c_17621,c_17618,c_17616,c_17612,c_17610,c_17609,c_17606,c_17603,c_17601,c_17597,c_17590,c_17587,c_17586,c_17584,c_17581,c_17579,c_17576,c_17571,c_17563,c_17559,c_17553,c_17549,c_17545,c_17537,c_6973,c_6963,c_6953,c_6586,c_6569,c_6552,c_5962,c_5952,c_5942,c_5089,c_5066,c_5043,c_3931,c_3885,c_3468,c_3458,c_3307,c_3297,c_3287,c_2686,c_2676,c_2666,c_478,c_477,c_460,c_338,c_341,c_342,c_343,c_349,c_350,c_351,c_352,c_356,c_357,c_359,c_360,c_361,c_362,c_368,c_369,c_370,c_372,c_373,c_374,c_378,c_379,c_380,c_381,c_302,c_303,c_305,c_306,c_307,c_312,c_313,c_317,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_331,c_332,c_333,c_334,c_335]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN479-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n011.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 01:27:29 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42  Running EPR theorem proving
% 0.10/0.42  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
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.45  % Proving...
% 4.36/1.16  % SZS status Started for theBenchmark.p
% 4.36/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.36/1.16  
% 4.36/1.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/1.16  
% 4.36/1.16  % ------  iProver source info
% 4.36/1.16  
% 4.36/1.16  % git: date: 2026-07-19 20:42:38 +0200
% 4.36/1.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/1.16  % git: non_committed_changes: false
% 4.36/1.16  
% 4.36/1.16  % ------ Parsing...% successful
% 4.36/1.16  
% 4.36/1.16  
% 4.36/1.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.36/1.16  % 
% 4.36/1.16  
% 4.36/1.16  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.36/1.16  
% 4.36/1.16  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.36/1.16   gs_s  sp: 121 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.36/1.16  % ------ Proving...
% 4.36/1.16  % ------ Problem Properties 
% 4.36/1.16  
% 4.36/1.16  % 
% 4.36/1.16  % clauses                               200
% 4.36/1.16  % conjectures                           197
% 4.36/1.16  % EPR                                   200
% 4.36/1.16  % Horn                                  106
% 4.36/1.16  % unary                                 0
% 4.36/1.16  % binary                                91
% 4.36/1.16  % lits                                  541
% 4.36/1.16  % lits eq                               0
% 4.36/1.16  % fd_pure                               0
% 4.36/1.16  % fd_pseudo                             0
% 4.36/1.16  % fd_cond                               0
% 4.36/1.16  % fd_pseudo_cond                        0
% 4.36/1.16  % AC symbols                            0
% 4.36/1.16  
% 4.36/1.16  % ------ Schedule EPR non Horn non eq is on
% 4.36/1.16  
% 4.36/1.16  % ------ no equalities: superposition off 
% 4.36/1.16  
% 4.36/1.16  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.36/1.16  
% 4.36/1.16  
% 4.36/1.16  % ------ 
% 4.36/1.16  % Current options:
% 4.36/1.16  % ------ 
% 4.36/1.16  
% 4.36/1.16  
% 4.36/1.16  % 
% 4.36/1.16  
% 4.36/1.16  % ------ Proving...
% 4.36/1.16  % 
% 4.36/1.16  
% 4.36/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.36/1.16  
% 4.36/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/1.17  
% 4.36/1.17  
%------------------------------------------------------------------------------