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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYN509-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 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 : Thu Sep 24 03:34:48 PM UTC 2026

% Result   : Unsatisfiable 13.38s 2.28s
% Output   : CNFRefutation 13.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :  159
% Syntax   : Number of formulae    :  648 (   2 unt;   0 def)
%            Number of atoms       : 2546 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3149 (1251   ~;1852   |;   0   &)
%                                         (  46 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   76 (  75 usr;  72 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  328 (   1 sgn  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause7,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

cnf(clause1,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause17,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

cnf(clause103,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(clause102,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(clause137,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp9
    | hskp15
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(clause32,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

cnf(clause112,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(clause111,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(clause110,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(clause109,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(clause127,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(clause126,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(clause128,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(clause80,negated_conjecture,
    ( ~ hskp3
    | c1_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(clause122,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(clause123,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(clause95,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(clause59,negated_conjecture,
    ( ~ hskp19
    | c0_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(clause96,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(clause73,negated_conjecture,
    ( ~ hskp8
    | c2_1(a444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(clause114,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(clause115,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(clause69,negated_conjecture,
    ( ~ hskp12
    | c1_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(clause106,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(clause105,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(clause68,negated_conjecture,
    ( ~ hskp13
    | c3_1(a451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(clause67,negated_conjecture,
    ( ~ hskp13
    | c2_1(a451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(clause191,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

cnf(clause37,negated_conjecture,
    ( hskp1
    | hskp8
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(clause166,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(clause71,negated_conjecture,
    ( ~ hskp11
    | c2_1(a449) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(clause108,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(clause107,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(clause51,negated_conjecture,
    ( ~ hskp24
    | c1_1(a486) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(clause52,negated_conjecture,
    ( ~ hskp24
    | c2_1(a486) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(clause88,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(clause36,negated_conjecture,
    ( hskp3
    | hskp12
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(clause66,negated_conjecture,
    ( ~ hskp14
    | c1_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(clause65,negated_conjecture,
    ( ~ hskp14
    | c0_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(clause104,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(clause33,negated_conjecture,
    ( hskp13
    | hskp19
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(clause130,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(clause129,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(clause49,negated_conjecture,
    ( ~ hskp25
    | c2_1(a489) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(clause87,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a489) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(clause164,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp11
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(clause161,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(clause172,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(clause62,negated_conjecture,
    ( ~ hskp16
    | c1_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(clause101,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(clause58,negated_conjecture,
    ( ~ hskp20
    | c3_1(a472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(clause57,negated_conjecture,
    ( ~ hskp20
    | c0_1(a472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(clause94,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(clause158,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(clause70,negated_conjecture,
    ( ~ hskp12
    | c3_1(a450) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(clause53,negated_conjecture,
    ( ~ hskp23
    | c1_1(a484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(clause89,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(clause90,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(clause77,negated_conjecture,
    ( ~ hskp5
    | c0_1(a441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(clause120,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(clause82,negated_conjecture,
    ( ~ hskp0
    | c3_1(a432) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(clause143,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp7
    | hskp23
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(clause136,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp2
    | hskp14
    | c2_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(clause135,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(clause148,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp16
    | hskp29
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

cnf(clause152,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(clause200,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

cnf(clause100,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(clause60,negated_conjecture,
    ( ~ hskp17
    | c0_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(clause61,negated_conjecture,
    ( ~ hskp17
    | c2_1(a463) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(clause113,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(clause41,negated_conjecture,
    ( ~ hskp29
    | c1_1(a447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(clause43,negated_conjecture,
    ( ~ hskp29
    | c3_1(a447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(clause42,negated_conjecture,
    ( ~ hskp29
    | c2_1(a447) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(clause64,negated_conjecture,
    ( ~ hskp15
    | c3_1(a454) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(clause74,negated_conjecture,
    ( ~ hskp7
    | c3_1(a443) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(clause117,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(clause81,negated_conjecture,
    ( ~ hskp2
    | c0_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(clause124,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(clause125,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a434) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(clause63,negated_conjecture,
    ( ~ hskp16
    | c3_1(a457) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

cnf(clause45,negated_conjecture,
    ( ~ hskp28
    | c2_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(clause44,negated_conjecture,
    ( ~ hskp28
    | c0_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(clause46,negated_conjecture,
    ( ~ hskp28
    | c3_1(a437) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(clause116,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(clause50,negated_conjecture,
    ( ~ hskp25
    | c3_1(a489) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(clause150,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp12
    | hskp14
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

cnf(clause201,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

cnf(clause198,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

cnf(clause197,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

cnf(clause196,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

cnf(clause194,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

cnf(clause190,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

cnf(clause183,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(clause187,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

cnf(clause181,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp8
    | c0_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(clause179,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c2_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(clause180,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp16
    | c3_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(clause185,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(clause186,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

cnf(clause176,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(clause174,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(clause175,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp20
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

cnf(clause177,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp24
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(clause169,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(clause165,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp12
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(clause167,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(clause168,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp28
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

cnf(clause119,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a441) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(clause40,negated_conjecture,
    ( ~ hskp30
    | c2_1(a456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(clause39,negated_conjecture,
    ( ~ hskp30
    | c1_1(a456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(clause38,negated_conjecture,
    ( ~ hskp30
    | c0_1(a456) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause7]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause1]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    inference(fof_simplification,[status(thm)],[clause17]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a454) ),
    inference(fof_simplification,[status(thm)],[clause103]) ).

fof(c_0_117,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a454) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

fof(c_0_119,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_120,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp9
    | hskp15
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause137]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    c_0_113 ).

cnf(c_0_122,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp30 ),
    clause32 ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    c_0_114 ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    c_0_115 ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    inference(fof_simplification,[status(thm)],[clause112]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    inference(fof_simplification,[status(thm)],[clause111]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a454) ),
    c_0_116 ).

cnf(c_0_128,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred34_0 ),
    inference(split_equiv,[status(thm)],[c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a454) ),
    c_0_118 ).

cnf(c_0_130,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_119]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp9
    | hskp15
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_120 ).

cnf(c_0_132,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    c_0_125 ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    c_0_126 ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a454)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ hskp15
    | c2_1(a454)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_130]),c_0_129]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp15
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a445)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_128]),c_0_134]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp9
    | c2_1(a445)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_130]),c_0_134]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    inference(fof_simplification,[status(thm)],[clause110]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp15
    | epred4_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_142,negated_conjecture,
    ( hskp15
    | hskp9
    | c0_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_137,c_0_130]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp9
    | epred4_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    inference(fof_simplification,[status(thm)],[clause127]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    inference(fof_simplification,[status(thm)],[clause126]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    inference(fof_simplification,[status(thm)],[clause128]) ).

fof(c_0_148,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp3
    | c1_1(a435) ),
    inference(fof_simplification,[status(thm)],[clause80]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    inference(fof_simplification,[status(thm)],[clause122]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

fof(c_0_152,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | c0_1(X2)
        | hskp3 ) ),
    introduced(definition) ).

fof(c_0_153,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_154,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    inference(fof_simplification,[status(thm)],[clause95]) ).

fof(c_0_156,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp19
    | c0_1(a467) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

fof(c_0_158,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

fof(c_0_160,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c0_1(X1)
        | hskp9 ) ),
    introduced(definition) ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp8
    | c2_1(a444) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    c_0_140 ).

cnf(c_0_165,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    c_0_144 ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    c_0_145 ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    c_0_146 ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    c_0_147 ).

cnf(c_0_170,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred14_0 ),
    inference(split_equiv,[status(thm)],[c_0_148]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp3
    | c1_1(a435) ),
    c_0_149 ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    c_0_150 ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    c_0_151 ).

cnf(c_0_174,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_132])]) ).

fof(c_0_175,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp12
    | c1_1(a450) ),
    inference(fof_simplification,[status(thm)],[clause69]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    inference(fof_simplification,[status(thm)],[clause106]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred41_0 ),
    inference(split_equiv,[status(thm)],[c_0_153]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred11_0 ),
    inference(split_equiv,[status(thm)],[c_0_154]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a451) ),
    inference(fof_simplification,[status(thm)],[clause105]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp13
    | c3_1(a451) ),
    inference(fof_simplification,[status(thm)],[clause68]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp13
    | c2_1(a451) ),
    inference(fof_simplification,[status(thm)],[clause67]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    c_0_155 ).

cnf(c_0_184,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred31_0 ),
    inference(split_equiv,[status(thm)],[c_0_156]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp19
    | c0_1(a467) ),
    c_0_157 ).

cnf(c_0_186,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp1
    | c2_1(X1)
    | c3_1(X1)
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_158]),c_0_132])]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    c_0_159 ).

cnf(c_0_188,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause191]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp9
    | c0_1(X1)
    | c3_1(X1)
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_132])]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp8
    | c2_1(a444) ),
    c_0_161 ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    c_0_162 ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    c_0_163 ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp10
    | epred4_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).

cnf(c_0_194,negated_conjecture,
    ( hskp1
    | hskp8
    | hskp10 ),
    clause37 ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp1
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_130]),c_0_168]),c_0_169]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp3
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]) ).

cnf(c_0_197,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(X1)
    | epred14_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_174]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred26_0 ),
    inference(split_equiv,[status(thm)],[c_0_175]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred14_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_128]) ).

cnf(c_0_200,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred4_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_130]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp12
    | c1_1(a450) ),
    c_0_176 ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    c_0_177 ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a435)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_171]),c_0_172]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp3
    | c2_1(a435)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_171]),c_0_172]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a451) ),
    c_0_180 ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp13
    | c3_1(a451) ),
    c_0_181 ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp13
    | c2_1(a451) ),
    c_0_182 ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a467)
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp19
    | hskp1
    | c3_1(a467)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_185]),c_0_187]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause166]) ).

fof(c_0_211,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_212,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_213,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2) ),
    c_0_188 ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp8
    | hskp9
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_215,negated_conjecture,
    ( hskp8
    | epred4_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).

cnf(c_0_216,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | epred14_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | epred4_0
    | epred26_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_165]) ).

cnf(c_0_218,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | epred4_0
    | epred14_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

fof(c_0_219,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp25 ) ),
    introduced(definition) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp11
    | c2_1(a449) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    inference(fof_simplification,[status(thm)],[clause108]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    inference(fof_simplification,[status(thm)],[clause107]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp24
    | c1_1(a486) ),
    inference(fof_simplification,[status(thm)],[clause51]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp24
    | c2_1(a486) ),
    inference(fof_simplification,[status(thm)],[clause52]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    inference(fof_simplification,[status(thm)],[clause88]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a450)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_201]),c_0_202]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp12
    | c2_1(a450)
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_201]),c_0_202]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp3
    | epred11_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_229,negated_conjecture,
    ( hskp3
    | hskp12
    | hskp24 ),
    clause36 ).

fof(c_0_230,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp14
    | c1_1(a452) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp14
    | c0_1(a452) ),
    inference(fof_simplification,[status(thm)],[clause65]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a451)
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_184]),c_0_206]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp13
    | c0_1(a451)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_207]),c_0_206]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp19
    | hskp1
    | epred20_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_237,negated_conjecture,
    ( hskp13
    | hskp19
    | hskp14 ),
    clause33 ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    inference(fof_simplification,[status(thm)],[clause129]) ).

fof(c_0_240,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c0_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

fof(c_0_241,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp14 ) ),
    introduced(definition) ).

cnf(c_0_242,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | hskp9
    | c3_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_210 ).

cnf(c_0_243,negated_conjecture,
    ( ~ epred4_0
    | ~ epred52_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_213,c_0_211]),c_0_119]),c_0_212]) ).

cnf(c_0_244,negated_conjecture,
    ( epred4_0
    | epred13_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_214]),c_0_215]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp8
    | epred14_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_216]),c_0_191]) ).

cnf(c_0_246,negated_conjecture,
    ( c0_1(X1)
    | epred4_0
    | epred14_0
    | epred26_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

fof(c_0_247,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c0_1(X2)
        | hskp13 ) ),
    introduced(definition) ).

fof(c_0_248,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1)
        | hskp20 ) ),
    introduced(definition) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp25
    | c2_1(a489) ),
    inference(fof_simplification,[status(thm)],[clause49]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a489) ),
    inference(fof_simplification,[status(thm)],[clause87]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp25
    | c3_1(X1)
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_132])]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp11
    | c2_1(a449) ),
    c_0_220 ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    c_0_221 ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    c_0_222 ).

cnf(c_0_255,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp11
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause164]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp24
    | c1_1(a486) ),
    c_0_223 ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp24
    | c2_1(a486) ),
    c_0_224 ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    c_0_225 ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp12
    | epred11_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_260,negated_conjecture,
    ( hskp24
    | hskp12
    | epred11_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_230]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp14
    | c1_1(a452) ),
    c_0_231 ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp14
    | c0_1(a452) ),
    c_0_232 ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    c_0_233 ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp13
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_266,negated_conjecture,
    ( hskp14
    | hskp13
    | hskp1
    | epred20_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    c_0_238 ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    c_0_239 ).

cnf(c_0_269,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp0
    | c0_1(X1)
    | c3_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_132])]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp14
    | c0_1(X1)
    | c3_1(X1)
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_241]),c_0_132])]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause161]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ epred13_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_242,c_0_160]),c_0_148]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred13_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_274,negated_conjecture,
    ( epred4_0
    | epred14_0
    | epred16_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_215]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_276,negated_conjecture,
    ( epred4_0
    | epred14_0
    | epred26_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_246]),c_0_215]) ).

fof(c_0_277,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_278,plain,
    ( ~ epred61_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ ndr1_0
        | c2_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp16
    | c1_1(a457) ),
    inference(fof_simplification,[status(thm)],[clause62]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp13
    | c0_1(X1)
    | c2_1(X1)
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_247]),c_0_132])]) ).

fof(c_0_282,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp23 ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp20
    | c3_1(a472) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp20
    | c0_1(a472) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a472) ),
    inference(fof_simplification,[status(thm)],[clause94]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp20
    | c1_1(X1)
    | c3_1(X1)
    | epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_248]),c_0_132])]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | epred34_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_178,c_0_128]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp25
    | c2_1(a489) ),
    c_0_249 ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a489) ),
    c_0_250 ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a449)
    | hskp25
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp11
    | c0_1(a449)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_128]),c_0_252]) ).

fof(c_0_292,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1)
        | hskp11 ) ),
    introduced(definition) ).

cnf(c_0_293,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp11
    | c2_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_255 ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp24
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_256]),c_0_257]),c_0_258]) ).

cnf(c_0_295,negated_conjecture,
    ( hskp24
    | epred11_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_296,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause158]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp14
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_264]) ).

cnf(c_0_298,negated_conjecture,
    ( hskp14
    | hskp1
    | epred20_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp0
    | epred4_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_165]),c_0_268]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp8
    | hskp14
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_271 ).

cnf(c_0_303,negated_conjecture,
    ( ~ epred14_0
    | ~ epred52_0
    | ~ epred53_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred14_0
    | epred16_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_274]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_275 ).

cnf(c_0_306,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred14_0
    | epred26_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_276]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_277]) ).

fof(c_0_308,plain,
    ( ~ epred46_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp12
    | c3_1(a450) ),
    inference(fof_simplification,[status(thm)],[clause70]) ).

fof(c_0_310,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_311,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred61_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_278]),c_0_132])]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp16
    | c1_1(a457) ),
    c_0_279 ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    c_0_280 ).

cnf(c_0_314,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_130]) ).

fof(c_0_315,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp16 ) ),
    introduced(definition) ).

fof(c_0_316,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | hskp24 ) ),
    introduced(definition) ).

cnf(c_0_317,negated_conjecture,
    ( ~ hskp23
    | c1_1(a484) ),
    inference(fof_simplification,[status(thm)],[clause53]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    inference(fof_simplification,[status(thm)],[clause89]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    inference(fof_simplification,[status(thm)],[clause90]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp23
    | c2_1(X1)
    | epred36_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_282]),c_0_132])]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp20
    | c3_1(a472) ),
    c_0_283 ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp20
    | c0_1(a472) ),
    c_0_284 ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a472) ),
    c_0_285 ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp19
    | hskp20
    | c3_1(a467)
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_185]),c_0_183]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp25
    | epred34_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp11
    | hskp25
    | epred34_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp11
    | c1_1(X1)
    | c2_1(X1)
    | epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_292]),c_0_132])]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ epred11_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_293,c_0_292]),c_0_154]) ).

cnf(c_0_329,negated_conjecture,
    ( epred11_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

fof(c_0_330,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2)
        | hskp3 ) ),
    introduced(definition) ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp5
    | c0_1(a441) ),
    inference(fof_simplification,[status(thm)],[clause77]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a441) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    c_0_296 ).

cnf(c_0_334,negated_conjecture,
    ( hskp1
    | epred17_0
    | epred20_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp8
    | epred4_0
    | epred5_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

fof(c_0_336,plain,
    ( ~ epred62_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_337,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_338,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_339,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1)
        | hskp28 ) ),
    introduced(definition) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp0
    | c3_1(a432) ),
    inference(fof_simplification,[status(thm)],[clause82]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp7
    | hskp23
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause143]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp2
    | hskp14
    | c2_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause135]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp16
    | hskp29
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause148]) ).

fof(c_0_345,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | hskp8 ) ),
    introduced(definition) ).

cnf(c_0_346,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | hskp24 ),
    inference(fof_simplification,[status(thm)],[clause152]) ).

fof(c_0_347,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp19 ) ),
    introduced(definition) ).

fof(c_0_348,plain,
    ( ~ epred56_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_349,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause200]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp8
    | epred17_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_297,c_0_301]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ epred16_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_302,c_0_152]),c_0_230]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred16_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ epred26_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_305,c_0_241]),c_0_175]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred26_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_306]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp17
    | c0_1(a463) ),
    inference(fof_simplification,[status(thm)],[clause60]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp17
    | c2_1(a463) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

fof(c_0_358,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2)
        | hskp17 ) ),
    introduced(definition) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    inference(fof_simplification,[status(thm)],[clause113]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a449)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_307]),c_0_252]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred46_0 ),
    inference(split_equiv,[status(thm)],[c_0_308]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp12
    | c3_1(a450) ),
    c_0_309 ).

cnf(c_0_363,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred7_0 ),
    inference(split_equiv,[status(thm)],[c_0_310]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp29
    | c1_1(a447) ),
    inference(fof_simplification,[status(thm)],[clause41]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp29
    | c3_1(a447) ),
    inference(fof_simplification,[status(thm)],[clause43]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp29
    | c2_1(a447) ),
    inference(fof_simplification,[status(thm)],[clause42]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | epred26_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_311]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a457)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_312]),c_0_313]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp16
    | hskp13
    | c0_1(a457)
    | epred4_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_132])]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp24
    | c2_1(X1)
    | c3_1(X1)
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_316]),c_0_132])]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp23
    | c1_1(a484) ),
    c_0_317 ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    c_0_318 ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    c_0_319 ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp20
    | hskp23
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]),c_0_323]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp19
    | hskp20
    | epred25_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_324]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp11
    | epred34_0
    | epred35_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp19
    | hskp11
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_185]),c_0_183]),c_0_187]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ epred12_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

fof(c_0_380,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp8 ) ),
    introduced(definition) ).

cnf(c_0_381,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp3
    | c1_1(X1)
    | c3_1(X1)
    | epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_330]),c_0_132])]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp5
    | c0_1(a441) ),
    c_0_331 ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a441) ),
    c_0_332 ).

cnf(c_0_384,negated_conjecture,
    ( ~ epred4_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_333,c_0_240]),c_0_119]) ).

cnf(c_0_385,negated_conjecture,
    ( epred4_0
    | epred17_0
    | epred20_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_195,c_0_334]) ).

cnf(c_0_386,negated_conjecture,
    ( epred4_0
    | epred5_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_335,c_0_215]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred62_0 ),
    inference(split_equiv,[status(thm)],[c_0_336]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_337]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred43_0 ),
    inference(split_equiv,[status(thm)],[c_0_338]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp28
    | c1_1(X1)
    | c2_1(X1)
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_339]),c_0_132])]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp0
    | c3_1(a432) ),
    c_0_340 ).

cnf(c_0_392,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | hskp7
    | hskp23
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_341 ).

cnf(c_0_393,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | hskp2
    | hskp14
    | c2_1(X1)
    | c0_1(X1) ),
    c_0_342 ).

cnf(c_0_394,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1) ),
    c_0_343 ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp15
    | c3_1(a454) ),
    inference(fof_simplification,[status(thm)],[clause64]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp7
    | c3_1(a443) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp16
    | hskp29
    | c2_1(X1) ),
    c_0_344 ).

cnf(c_0_398,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp8
    | c0_1(X1)
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_345]),c_0_132])]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | hskp24 ),
    c_0_346 ).

fof(c_0_400,plain,
    ( ~ epred63_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_401,plain,
    ( ~ epred58_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_402,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp19
    | c3_1(X1)
    | epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_347]),c_0_132])]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred56_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_348]),c_0_132])]) ).

fof(c_0_404,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | hskp25 ) ),
    introduced(definition) ).

fof(c_0_405,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | hskp5 ) ),
    introduced(definition) ).

fof(c_0_406,plain,
    ( ~ epred54_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    inference(fof_simplification,[status(thm)],[clause117]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c2_1(X2) ),
    c_0_349 ).

cnf(c_0_409,negated_conjecture,
    ( epred4_0
    | epred17_0
    | epred28_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_215]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ epred17_0
    | ~ epred52_0
    | ~ epred53_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ epred28_0
    | ~ epred52_0
    | ~ epred53_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    c_0_355 ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp17
    | c0_1(a463) ),
    c_0_356 ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp17
    | c2_1(a463) ),
    c_0_357 ).

cnf(c_0_415,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp17
    | c0_1(X1)
    | c3_1(X1)
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_358]),c_0_132])]) ).

cnf(c_0_416,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_211]),c_0_132])]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    c_0_359 ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a486)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_257]),c_0_258]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp24
    | hskp9
    | c3_1(a486)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_257]),c_0_258]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp11
    | epred19_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_291]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a451)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_307]),c_0_207]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ hskp13
    | c0_1(a451)
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_128]),c_0_207]) ).

fof(c_0_423,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1)
        | hskp12 ) ),
    introduced(definition) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp2
    | c0_1(a434) ),
    inference(fof_simplification,[status(thm)],[clause81]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    inference(fof_simplification,[status(thm)],[clause124]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a434) ),
    inference(fof_simplification,[status(thm)],[clause125]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ hskp16
    | c3_1(a457) ),
    inference(fof_simplification,[status(thm)],[clause63]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp28
    | c2_1(a437) ),
    inference(fof_simplification,[status(thm)],[clause45]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ hskp28
    | c0_1(a437) ),
    inference(fof_simplification,[status(thm)],[clause44]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp28
    | c3_1(a437) ),
    inference(fof_simplification,[status(thm)],[clause46]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp12
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_201]),c_0_362]),c_0_202]) ).

cnf(c_0_432,negated_conjecture,
    ( hskp24
    | hskp12
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_229]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp19
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_363]),c_0_185]),c_0_187]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp29
    | c1_1(a447) ),
    c_0_364 ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp29
    | c3_1(a447) ),
    c_0_365 ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp29
    | c2_1(a447) ),
    c_0_366 ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ hskp25
    | c3_1(a489) ),
    inference(fof_simplification,[status(thm)],[clause50]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp24
    | c3_1(a486)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_256]),c_0_258]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp12
    | epred26_0
    | epred61_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_362]),c_0_202]) ).

fof(c_0_441,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_442,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_443,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp12
    | hskp14
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause201]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause198]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause197]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause196]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause194]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c2_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause190]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause183]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause187]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp8
    | c0_1(X2)
    | c0_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c2_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp16
    | c3_1(X2)
    | c0_1(X2) ),
    inference(fof_simplification,[status(thm)],[clause180]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause185]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause186]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause176]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause174]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp20
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause175]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp24
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause177]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp12
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause165]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause167]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp28
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp16
    | hskp13
    | epred4_0
    | epred17_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ hskp8
    | hskp16
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp23
    | hskp24
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373]),c_0_374]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ hskp19
    | hskp23
    | epred25_0
    | epred31_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp19
    | epred34_0
    | epred35_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp8
    | c3_1(X1)
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_132])]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ hskp5
    | hskp3
    | c1_1(a441)
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_383]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ epred5_0
    | epred17_0
    | epred20_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred5_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_386]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp12
    | c2_1(a450)
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_201]),c_0_362]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred23_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred41_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_178,c_0_389]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ hskp0
    | hskp28
    | c1_1(a432)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_267]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp23
    | hskp7
    | c1_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_132])]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ c1_1(X1)
    | hskp14
    | hskp2
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_132])]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp9
    | hskp8
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_132])]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ hskp15
    | c3_1(a454) ),
    c_0_395 ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp7
    | c3_1(a443) ),
    c_0_396 ).

cnf(c_0_483,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp29
    | hskp16
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_132])]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ c3_1(X1)
    | hskp8
    | c0_1(X1)
    | epred40_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_311]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp24
    | hskp8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_132])]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred63_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_400]),c_0_132])]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | epred58_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_401]),c_0_132])]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp19
    | c3_1(X1)
    | epred8_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp25
    | c2_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_404]),c_0_132])]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | hskp5
    | c2_1(X1)
    | epred45_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_405]),c_0_132])]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred54_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_406]),c_0_132])]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    c_0_407 ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp19
    | hskp3
    | c3_1(a467)
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_185]),c_0_183]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ epred34_0
    | ~ epred53_0
    | ~ epred63_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_408,c_0_400]),c_0_117]),c_0_212]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_409]),c_0_410]),c_0_411]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp17
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_307]),c_0_413]),c_0_414]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp8
    | hskp17
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_190]),c_0_191]),c_0_192]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a452)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_262]),c_0_263]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp14
    | hskp24
    | c3_1(a452)
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_262]),c_0_264]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp9
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_416]),c_0_134]),c_0_417]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp24
    | hskp9
    | epred13_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp19
    | epred12_0
    | epred19_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_420,c_0_378]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp13
    | epred19_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp12
    | c1_1(X1)
    | c3_1(X1)
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_423]),c_0_132])]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp2
    | c0_1(a434) ),
    c_0_424 ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    c_0_425 ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a434) ),
    c_0_426 ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp16
    | c3_1(a457) ),
    c_0_427 ).

cnf(c_0_509,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred53_0 ),
    inference(split_equiv,[status(thm)],[c_0_212]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp28
    | c2_1(a437) ),
    c_0_428 ).

cnf(c_0_511,negated_conjecture,
    ( ~ hskp28
    | c0_1(a437) ),
    c_0_429 ).

cnf(c_0_512,negated_conjecture,
    ( ~ hskp28
    | c3_1(a437) ),
    c_0_430 ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a486)
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_256]),c_0_258]) ).

cnf(c_0_514,negated_conjecture,
    ( hskp24
    | epred14_0
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_431,c_0_432]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp13
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_389]),c_0_207]),c_0_206]) ).

cnf(c_0_516,negated_conjecture,
    ( hskp14
    | hskp13
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_433,c_0_237]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a447)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_434]),c_0_435]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp29
    | c0_1(a447)
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_434]),c_0_436]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    c_0_437 ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp25
    | c3_1(a489) ),
    c_0_438 ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp24
    | epred14_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_439]) ).

cnf(c_0_522,negated_conjecture,
    ( hskp24
    | epred14_0
    | epred26_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_440,c_0_432]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_441]) ).

cnf(c_0_524,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred9_0 ),
    inference(split_equiv,[status(thm)],[c_0_442]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp12
    | hskp14
    | c3_1(X1) ),
    c_0_443 ).

fof(c_0_526,plain,
    ( ~ epred60_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_527,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | epred14_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_170,c_0_416]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | epred23_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_388,c_0_184]) ).

fof(c_0_529,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_530,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c2_1(X2) ),
    c_0_444 ).

cnf(c_0_531,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c2_1(X2)
    | c3_1(X1) ),
    c_0_445 ).

cnf(c_0_532,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c1_1(X1) ),
    c_0_446 ).

cnf(c_0_533,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1) ),
    c_0_447 ).

cnf(c_0_534,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_448 ).

cnf(c_0_535,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c2_1(X2) ),
    c_0_449 ).

cnf(c_0_536,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp5
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_450 ).

cnf(c_0_537,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp8
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_451 ).

cnf(c_0_538,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp8
    | c0_1(X2)
    | c0_1(X1) ),
    c_0_452 ).

cnf(c_0_539,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp13
    | c2_1(X2)
    | c0_1(X2) ),
    c_0_453 ).

cnf(c_0_540,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp16
    | c3_1(X2)
    | c0_1(X2) ),
    c_0_454 ).

cnf(c_0_541,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp23
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_455 ).

cnf(c_0_542,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp25
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_456 ).

cnf(c_0_543,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp3
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    c_0_457 ).

cnf(c_0_544,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp17
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    c_0_458 ).

cnf(c_0_545,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp20
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_459 ).

cnf(c_0_546,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | hskp24
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_460 ).

cnf(c_0_547,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    c_0_461 ).

cnf(c_0_548,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | hskp12
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    c_0_462 ).

cnf(c_0_549,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | hskp19
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    c_0_463 ).

cnf(c_0_550,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | hskp28
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    c_0_464 ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a441) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp30
    | c2_1(a456) ),
    inference(fof_simplification,[status(thm)],[clause40]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ hskp30
    | c1_1(a456) ),
    inference(fof_simplification,[status(thm)],[clause39]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp30
    | c0_1(a456) ),
    inference(fof_simplification,[status(thm)],[clause38]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ hskp8
    | epred37_0
    | hskp13
    | epred4_0
    | epred17_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_466]) ).

cnf(c_0_556,negated_conjecture,
    ( ~ hskp19
    | epred25_0
    | epred31_0
    | epred36_0
    | hskp24
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_467,c_0_468]) ).

cnf(c_0_557,negated_conjecture,
    ( hskp14
    | hskp13
    | epred34_0
    | epred35_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_469,c_0_237]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a441)
    | hskp3
    | epred32_0
    | hskp8
    | c3_1(a441)
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ hskp5
    | hskp3
    | epred32_0
    | hskp24
    | c2_1(a441)
    | c3_1(a441)
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_471]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | epred34_0
    | epred17_0
    | epred20_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_561,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a450)
    | epred62_0
    | hskp8
    | c0_1(a450)
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_474]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a463)
    | ~ c3_1(a463)
    | epred23_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_475,c_0_414]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp29
    | ~ c3_1(a447)
    | c0_1(a447)
    | epred41_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_476,c_0_436]) ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a432)
    | hskp28
    | epred6_0
    | c2_1(a432)
    | epred62_0 ),
    inference(spm,[status(thm)],[c_0_387,c_0_477]) ).

cnf(c_0_565,negated_conjecture,
    ( ~ hskp0
    | hskp28
    | epred6_0
    | c0_1(a432)
    | c2_1(a432)
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_477]) ).

cnf(c_0_566,negated_conjecture,
    ( ~ hskp8
    | c0_1(a444)
    | c3_1(a444)
    | epred14_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_199,c_0_190]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a450)
    | epred11_0
    | hskp8
    | c0_1(a450)
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_227]) ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp11
    | hskp23
    | hskp7
    | c1_1(a449)
    | c3_1(a449) ),
    inference(spm,[status(thm)],[c_0_478,c_0_252]) ).

cnf(c_0_569,negated_conjecture,
    ( ~ hskp16
    | hskp15
    | hskp9
    | c0_1(a457)
    | c2_1(a457) ),
    inference(spm,[status(thm)],[c_0_137,c_0_312]) ).

cnf(c_0_570,negated_conjecture,
    ( ~ hskp3
    | hskp14
    | hskp2
    | c0_1(a435)
    | c2_1(a435) ),
    inference(spm,[status(thm)],[c_0_479,c_0_171]) ).

cnf(c_0_571,negated_conjecture,
    ( ~ hskp15
    | hskp9
    | hskp8
    | c0_1(a454)
    | c1_1(a454) ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_572,negated_conjecture,
    ( ~ hskp7
    | hskp9
    | hskp8
    | c0_1(a443)
    | c1_1(a443) ),
    inference(spm,[status(thm)],[c_0_480,c_0_482]) ).

cnf(c_0_573,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a452)
    | hskp29
    | hskp16
    | c2_1(a452) ),
    inference(spm,[status(thm)],[c_0_483,c_0_262]) ).

cnf(c_0_574,negated_conjecture,
    ( ~ hskp12
    | hskp8
    | c0_1(a450)
    | epred40_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_484,c_0_362]) ).

cnf(c_0_575,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a447)
    | ~ c3_1(a447)
    | hskp24
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_485,c_0_434]) ).

cnf(c_0_576,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a457)
    | ~ c3_1(a457)
    | hskp24
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_485,c_0_312]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a452)
    | c2_1(a452)
    | epred63_0 ),
    inference(spm,[status(thm)],[c_0_486,c_0_262]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | epred56_0
    | c3_1(X1)
    | epred58_0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_403]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a452)
    | c3_1(a452)
    | epred58_0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_262]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp8
    | hskp19
    | c3_1(a444)
    | epred8_0
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_190]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ c2_1(a463)
    | ~ hskp17
    | c3_1(a463)
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_403]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ c2_1(a449)
    | ~ hskp11
    | c3_1(a449)
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_403]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ c2_1(a445)
    | ~ hskp9
    | c3_1(a445)
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_403]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a450)
    | hskp25
    | c2_1(a450)
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_489,c_0_201]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a452)
    | hskp5
    | c2_1(a452)
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_262]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ hskp24
    | c0_1(a486)
    | c3_1(a486)
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_256]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ hskp3
    | c0_1(a435)
    | c3_1(a435)
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_171]) ).

cnf(c_0_588,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a452)
    | hskp8
    | c3_1(a452)
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_470,c_0_262]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ hskp29
    | ~ c3_1(a447)
    | hskp8
    | c0_1(a447)
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_436]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a486)
    | hskp8
    | c0_1(a486)
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_257]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a443)
    | hskp23
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_482]),c_0_492]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ hskp19
    | hskp3
    | epred31_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_493]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ epred52_0
    | ~ epred53_0
    | ~ epred63_0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_495]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ hskp24
    | hskp14
    | c3_1(a486)
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_257]),c_0_258]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ hskp24
    | hskp17
    | c3_1(a486)
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_257]),c_0_258]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ hskp8
    | epred19_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ hskp14
    | hskp24
    | epred23_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ hskp24
    | epred13_0
    | epred26_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp8
    | epred13_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_214]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ hskp9
    | hskp3
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_174]),c_0_134]),c_0_417]) ).

cnf(c_0_601,negated_conjecture,
    ( hskp14
    | epred12_0
    | epred19_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_237]),c_0_503]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ hskp2
    | hskp12
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506]),c_0_507]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ hskp16
    | epred62_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_312]),c_0_508]),c_0_313]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ hskp24
    | hskp19
    | c3_1(a486)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_256]),c_0_257]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ hskp28
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]),c_0_512]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a463)
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_414]),c_0_413]) ).

cnf(c_0_607,negated_conjecture,
    ( epred14_0
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_439]),c_0_514]) ).

cnf(c_0_608,negated_conjecture,
    ( hskp14
    | epred7_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ hskp29
    | epred23_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ hskp7
    | hskp28
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_482]),c_0_519]),c_0_492]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp25
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_288]),c_0_520]),c_0_289]) ).

cnf(c_0_612,negated_conjecture,
    ( epred14_0
    | epred26_0
    | epred61_0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ hskp7
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_523]),c_0_482]),c_0_492]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp24
    | hskp0
    | c3_1(a486)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_257]),c_0_258]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp9
    | c2_1(a445)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_524]),c_0_417]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp14
    | hskp12
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_525,c_0_132])]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred60_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_526]),c_0_132])]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp8
    | epred14_0
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_527]),c_0_191]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp8
    | epred34_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_190]),c_0_191]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp28
    | epred23_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_512]),c_0_511]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred38_0 ),
    inference(split_equiv,[status(thm)],[c_0_529]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ epred17_0
    | ~ epred23_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_530,c_0_406]),c_0_230]),c_0_337]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ epred14_0
    | ~ epred58_0
    | ~ epred62_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_531,c_0_401]),c_0_148]),c_0_336]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ epred31_0
    | ~ epred41_0
    | ~ epred61_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_532,c_0_278]),c_0_156]),c_0_153]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ epred34_0
    | ~ epred46_0
    | ~ epred60_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_533,c_0_526]),c_0_117]),c_0_308]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ epred14_0
    | ~ epred41_0
    | ~ epred56_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_534,c_0_348]),c_0_148]),c_0_153]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ epred23_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_535,c_0_404]),c_0_337]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ epred45_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_536,c_0_405]),c_0_308]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ epred42_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_537,c_0_380]),c_0_338]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ epred40_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_538,c_0_345]),c_0_153]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ epred23_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_539,c_0_247]),c_0_337]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ epred37_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_540,c_0_315]),c_0_529]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ epred19_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_541,c_0_282]),c_0_277]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ epred31_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_542,c_0_219]),c_0_156]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ epred17_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_543,c_0_330]),c_0_230]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ epred17_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_544,c_0_358]),c_0_230]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ epred25_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_545,c_0_248]),c_0_175]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ epred19_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_546,c_0_316]),c_0_277]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_547,c_0_158]),c_0_441]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ epred10_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_548,c_0_423]),c_0_154]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ epred8_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_549,c_0_347]),c_0_442]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ epred6_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_550,c_0_339]),c_0_310]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a441) ),
    c_0_551 ).

cnf(c_0_644,negated_conjecture,
    ( ~ hskp30
    | c2_1(a456) ),
    c_0_552 ).

cnf(c_0_645,negated_conjecture,
    ( ~ hskp30
    | c1_1(a456) ),
    c_0_553 ).

cnf(c_0_646,negated_conjecture,
    ( ~ hskp30
    | c0_1(a456) ),
    c_0_554 ).

cnf(c_0_647,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_301,c_0_595,c_0_596,c_0_497,c_0_467,c_0_597,c_0_598,c_0_599,c_0_500,c_0_600,c_0_419,c_0_214,c_0_601,c_0_378,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_431,c_0_608,c_0_515,c_0_609,c_0_379,c_0_329,c_0_294,c_0_226,c_0_203,c_0_610,c_0_265,c_0_611,c_0_612,c_0_521,c_0_418,c_0_517,c_0_498,c_0_613,c_0_297,c_0_439,c_0_614,c_0_300,c_0_245,c_0_196,c_0_615,c_0_433,c_0_139,c_0_616,c_0_485,c_0_617,c_0_487,c_0_470,c_0_618,c_0_325,c_0_619,c_0_620,c_0_509,c_0_621,c_0_388,c_0_622,c_0_623,c_0_624,c_0_625,c_0_626,c_0_243,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_353,c_0_636,c_0_637,c_0_638,c_0_639,c_0_351,c_0_272,c_0_328,c_0_640,c_0_641,c_0_642,c_0_384,c_0_267,c_0_268,c_0_173,c_0_172,c_0_383,c_0_643,c_0_519,c_0_192,c_0_191,c_0_417,c_0_253,c_0_254,c_0_202,c_0_264,c_0_127,c_0_129,c_0_313,c_0_258,c_0_391,c_0_362,c_0_508,c_0_435,c_0_252,c_0_414,c_0_644,c_0_645,c_0_382,c_0_263,c_0_413,c_0_646,c_0_237,c_0_229,c_0_122]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN509-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n011.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 11:04:25 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44  Running first-order theorem proving
% 0.14/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.38/2.28  % Version: 3.5.1
% 13.38/2.28  % Preprocessing class: FSLSSLSMSSSNFFN.
% 13.38/2.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.38/2.28  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 13.38/2.28  % Starting new_bool_3 with 300s (1) cores
% 13.38/2.28  % Starting new_bool_1 with 300s (1) cores
% 13.38/2.28  % Starting sh5l with 300s (1) cores
% 13.38/2.28  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1736080 completed with status 0
% 13.38/2.28  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 13.38/2.28  % Preprocessing class: FSLSSLSMSSSNFFN.
% 13.38/2.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.38/2.28  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 13.38/2.28  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 13.38/2.28  % No SInE strategy applied
% 13.38/2.28  % Search class: FGHNF-FSMM00-SFFFFFNN
% 13.38/2.28  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 13.38/2.28  % Starting SubtermCWHack with 151s (1) cores
% 13.38/2.28  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 13.38/2.28  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 13.38/2.28  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 13.38/2.28  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 13.38/2.28  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1736085 completed with status 0
% 13.38/2.28  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 13.38/2.28  % Preprocessing class: FSLSSLSMSSSNFFN.
% 13.38/2.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.38/2.28  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 13.38/2.28  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 13.38/2.28  % No SInE strategy applied
% 13.38/2.28  % Search class: FGHNF-FSMM00-SFFFFFNN
% 13.38/2.28  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 13.38/2.28  % Starting SubtermCWHack with 151s (1) cores
% 13.38/2.28  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 13.38/2.28  % Preprocessing time       : 0.004 s
% 13.38/2.28  % SatCheck found unsatisfiable ground set
% 13.38/2.28  
% 13.38/2.28  % Proof found!
% 13.38/2.28  % SZS status Unsatisfiable
% 13.38/2.28  % SZS output start CNFRefutation
% See solution above
% 13.38/2.28  % Parsed axioms                        : 204
% 13.38/2.28  % Removed by relevancy pruning/SinE    : 0
% 13.38/2.28  % Initial clauses                      : 204
% 13.38/2.28  % Removed in clause preprocessing      : 0
% 13.38/2.28  % Initial clauses in saturation        : 204
% 13.38/2.28  % Processed clauses                    : 6693
% 13.38/2.28  % ...of these trivial                  : 0
% 13.38/2.28  % ...subsumed                          : 1693
% 13.38/2.28  % ...remaining for further processing  : 5000
% 13.38/2.28  % Other redundant clauses eliminated   : 0
% 13.38/2.28  % Clauses deleted for lack of memory   : 0
% 13.38/2.28  % Backward-subsumed                    : 956
% 13.38/2.28  % Backward-rewritten                   : 58
% 13.38/2.28  % Generated clauses                    : 68273
% 13.38/2.28  % ...of the previous two non-redundant : 63189
% 13.38/2.28  % ...aggressively subsumed             : 0
% 13.38/2.28  % Contextual simplify-reflections      : 505
% 13.38/2.28  % Paramodulations                      : 68162
% 13.38/2.28  % Factorizations                       : 0
% 13.38/2.28  % NegExts                              : 0
% 13.38/2.28  % Equation resolutions                 : 0
% 13.38/2.28  % Disequality decompositions           : 0
% 13.38/2.28  % Total rewrite steps                  : 100
% 13.38/2.28  % ...of those cached                   : 99
% 13.38/2.28  % Propositional unsat checks           : 1
% 13.38/2.28  %    Propositional check models        : 0
% 13.38/2.28  %    Propositional check unsatisfiable : 1
% 13.38/2.28  %    Propositional clauses             : 60065
% 13.38/2.28  %    Propositional clauses after purity: 59638
% 13.38/2.28  %    Propositional unsat core size     : 159
% 13.38/2.28  %    Propositional preprocessing time  : 0.000
% 13.38/2.28  %    Propositional encoding time       : 0.027
% 13.38/2.28  %    Propositional solver time         : 0.077
% 13.38/2.28  %    Success case prop preproc time    : 0.000
% 13.38/2.28  %    Success case prop encoding time   : 0.027
% 13.38/2.28  %    Success case prop solver time     : 0.077
% 13.38/2.28  % Current number of processed clauses  : 3939
% 13.38/2.28  %    Positive orientable unit clauses  : 1
% 13.38/2.28  %    Positive unorientable unit clauses: 0
% 13.38/2.28  %    Negative unit clauses             : 0
% 13.38/2.28  %    Non-unit-clauses                  : 3938
% 13.38/2.28  % Current number of unprocessed clauses: 56126
% 13.38/2.28  % ...number of literals in the above   : 390861
% 13.38/2.28  % Current number of archived formulas  : 0
% 13.38/2.28  % Current number of archived clauses   : 1014
% 13.38/2.28  % Clause-clause subsumption calls (NU) : 4528917
% 13.38/2.28  % Rec. Clause-clause subsumption calls : 238603
% 13.38/2.28  % Non-unit clause-clause subsumptions  : 3242
% 13.38/2.28  % Unit Clause-clause subsumption calls : 16
% 13.38/2.28  % Rewrite failures with RHS unbound    : 0
% 13.38/2.28  % BW rewrite match attempts            : 1
% 13.38/2.28  % BW rewrite match successes           : 1
% 13.38/2.28  % Condensation attempts                : 6693
% 13.38/2.28  % Condensation successes               : 0
% 13.38/2.28  % Termbank termtop insertions          : 664789
% 13.38/2.28  % Search garbage collected termcells   : 555
% 13.38/2.28  
% 13.38/2.28  % -------------------------------------------------
% 13.38/2.28  % User time                : 1.661 s
% 13.38/2.28  % System time              : 0.055 s
% 13.38/2.28  % Total time               : 1.716 s
% 13.38/2.28  % Maximum resident set size: 4052 pages
% 13.38/2.28  
% 13.38/2.28  % -------------------------------------------------
% 13.38/2.28  % User time                : 8.130 s
% 13.38/2.28  % System time              : 0.219 s
% 13.38/2.28  % Total time               : 8.348 s
% 13.38/2.28  % Maximum resident set size: 5120 pages
% 13.38/2.28  % E exiting
%------------------------------------------------------------------------------