TSTP Solution File: SYN470-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:30:59 EDT 2024

% Result   : Unsatisfiable 4.13s 1.18s
% Output   : CNFRefutation 4.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  130
% Syntax   : Number of clauses     :  439 (   2 unt; 280 nHn; 412 RR)
%            Number of literals    : 1863 (   0 equ; 867 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   61 (  60 usr;  57 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  282 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_72,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

cnf(c_76,negated_conjecture,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

cnf(c_78,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(c_80,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(c_81,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(c_82,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_83,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(c_84,negated_conjecture,
    ( hskp14
    | hskp13
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(c_86,negated_conjecture,
    ( hskp26
    | hskp17
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( hskp8
    | hskp4
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(c_88,negated_conjecture,
    ( ~ hskp31
    | c0_1(a522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp31
    | c1_1(a522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(c_90,negated_conjecture,
    ( ~ hskp31
    | c2_1(a522) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp29
    | c0_1(a504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp29
    | c1_1(a504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp29
    | c3_1(a504) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp28
    | c0_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp28
    | c2_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp28
    | c3_1(a500) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp24
    | c0_1(a554) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp23
    | c0_1(a541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp23
    | c1_1(a541) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp22
    | c1_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp22
    | c3_1(a540) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(c_108,negated_conjecture,
    ( ~ hskp21
    | c0_1(a538) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp17
    | c3_1(a532) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp16
    | c2_1(a530) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp16
    | c3_1(a530) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp15
    | c0_1(a528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp15
    | c1_1(a528) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp14
    | c2_1(a527) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp13
    | c0_1(a520) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp13
    | c2_1(a520) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp12
    | c1_1(a514) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp12
    | c3_1(a514) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp11
    | c0_1(a510) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp10
    | c0_1(a509) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp10
    | c3_1(a509) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp9
    | c3_1(a507) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp8
    | c2_1(a505) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp8
    | c3_1(a505) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp6
    | c1_1(a501) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp6
    | c2_1(a501) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp5
    | c0_1(a499) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp5
    | c2_1(a499) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp4
    | c1_1(a498) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp3
    | c2_1(a497) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp1
    | c1_1(a495) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp0
    | c3_1(a494) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(c_137,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(c_139,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c2_1(a541)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(c_145,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(c_146,negated_conjecture,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(c_147,negated_conjecture,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(c_148,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(c_149,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(c_150,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(c_160,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(c_163,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(c_164,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(c_167,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(c_172,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(c_173,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(c_179,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(c_180,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(c_182,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(c_183,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(c_184,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp11
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(c_187,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp29
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(c_193,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | hskp31
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

cnf(c_195,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(c_198,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp28
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

cnf(c_199,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp17
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(c_200,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp5
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | hskp13
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(c_208,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

cnf(c_210,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

cnf(c_211,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(c_212,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(c_213,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(c_216,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

cnf(c_220,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(c_221,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(c_223,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(c_224,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X0)
    | c3_1(X1)
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(c_228,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(c_229,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(c_230,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(c_231,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(c_232,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

cnf(c_233,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

cnf(c_236,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

cnf(c_238,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

cnf(c_239,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

cnf(c_240,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

cnf(c_241,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

cnf(c_242,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

cnf(c_243,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

cnf(c_244,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X1)
    | c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

cnf(c_274,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_80,c_87,c_78,c_76,c_72]) ).

cnf(c_341,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp11
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_87,c_78,c_76,c_72,c_184]) ).

cnf(c_344,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_87,c_78,c_76,c_72,c_195]) ).

cnf(c_350,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp31
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_87,c_78,c_76,c_72,c_193]) ).

cnf(c_368,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp29
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_87,c_78,c_76,c_72,c_187]) ).

cnf(c_383,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp5
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_87,c_78,c_76,c_72,c_200]) ).

cnf(c_384,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp5
    | hskp4 ),
    inference(renaming,[status(thm)],[c_383]) ).

cnf(c_386,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_87,c_78,c_76,c_72,c_199]) ).

cnf(c_387,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp4 ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_389,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_87,c_78,c_76,c_72,c_198]) ).

cnf(c_390,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp16 ),
    inference(renaming,[status(thm)],[c_389]) ).

cnf(c_404,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp13
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_87,c_78,c_76,c_72,c_205]) ).

cnf(c_405,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp13
    | hskp3 ),
    inference(renaming,[status(thm)],[c_404]) ).

cnf(c_410,negated_conjecture,
    ( ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_87,c_78,c_76,c_72,c_209]) ).

cnf(c_412,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_87,c_78,c_76,c_72,c_208]) ).

cnf(c_414,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_213,c_274]) ).

cnf(c_415,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_417,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_87,c_78,c_76,c_72,c_212]) ).

cnf(c_418,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_417]) ).

cnf(c_420,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_87,c_78,c_76,c_72,c_211]) ).

cnf(c_421,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_420]) ).

cnf(c_422,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_87,c_78,c_76,c_72,c_210]) ).

cnf(c_423,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_424,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_87,c_78,c_76,c_72,c_225]) ).

cnf(c_425,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_424]) ).

cnf(c_426,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | c3_1(X1)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_87,c_78,c_76,c_72,c_224]) ).

cnf(c_427,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | c3_1(X1)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_428,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_87,c_78,c_76,c_72,c_223]) ).

cnf(c_429,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_87,c_78,c_76,c_72,c_222]) ).

cnf(c_431,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_87,c_78,c_76,c_72,c_221]) ).

cnf(c_433,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_434,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_87,c_78,c_76,c_72,c_220]) ).

cnf(c_435,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_438,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_87,c_78,c_76,c_72,c_218]) ).

cnf(c_439,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_440,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_87,c_78,c_76,c_72,c_217]) ).

cnf(c_441,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_442,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_87,c_78,c_76,c_72,c_216]) ).

cnf(c_443,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_447,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_87,c_78,c_76,c_72,c_214]) ).

cnf(c_448,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_451,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_87,c_78,c_76,c_72,c_233]) ).

cnf(c_452,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_453,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_87,c_78,c_76,c_72,c_232]) ).

cnf(c_454,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_456,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_87,c_78,c_76,c_72,c_231]) ).

cnf(c_457,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_458,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_87,c_78,c_76,c_72,c_230]) ).

cnf(c_459,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_458]) ).

cnf(c_461,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_87,c_78,c_76,c_72,c_229]) ).

cnf(c_462,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_463,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_87,c_78,c_76,c_72,c_228]) ).

cnf(c_464,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_467,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_87,c_78,c_76,c_72,c_226]) ).

cnf(c_468,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_471,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_87,c_78,c_76,c_72,c_236]) ).

cnf(c_472,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_475,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_87,c_78,c_76,c_72,c_238]) ).

cnf(c_476,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_477,plain,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_87,c_78,c_76,c_72,c_241]) ).

cnf(c_478,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_87,c_78,c_76,c_72,c_240]) ).

cnf(c_480,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_481,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_87,c_78,c_76,c_72,c_239]) ).

cnf(c_482,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_481]) ).

cnf(c_483,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_87,c_78,c_76,c_72,c_243]) ).

cnf(c_484,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_87,c_78,c_76,c_72,c_242]) ).

cnf(c_486,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_487,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X1)
    | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_87,c_78,c_76,c_72,c_244]) ).

cnf(c_488,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c3_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_2741,plain,
    ( ~ c3_1(a527)
    | hskp13
    | hskp6 ),
    inference(resolution,[status(thm)],[c_84,c_159]) ).

cnf(c_2751,plain,
    ( ~ c1_1(a527)
    | hskp13
    | hskp6 ),
    inference(resolution,[status(thm)],[c_84,c_158]) ).

cnf(c_2852,plain,
    ( ~ c3_1(a559)
    | hskp17
    | hskp11 ),
    inference(resolution,[status(thm)],[c_86,c_139]) ).

cnf(c_2862,plain,
    ( ~ c2_1(a559)
    | hskp17
    | hskp11 ),
    inference(resolution,[status(thm)],[c_86,c_138]) ).

cnf(c_2872,plain,
    ( ~ c0_1(a559)
    | hskp17
    | hskp11 ),
    inference(resolution,[status(thm)],[c_86,c_137]) ).

cnf(c_3746,plain,
    ( ~ c3_1(a528)
    | hskp13
    | hskp12 ),
    inference(resolution,[status(thm)],[c_81,c_157]) ).

cnf(c_3756,plain,
    ( c1_1(a528)
    | hskp13
    | hskp12 ),
    inference(resolution,[status(thm)],[c_81,c_116]) ).

cnf(c_3766,plain,
    ( c0_1(a528)
    | hskp13
    | hskp12 ),
    inference(resolution,[status(thm)],[c_81,c_115]) ).

cnf(c_4817,plain,
    ( ~ c3_1(a520)
    | hskp14
    | hskp6 ),
    inference(resolution,[status(thm)],[c_84,c_160]) ).

cnf(c_4827,plain,
    ( c2_1(a520)
    | hskp14
    | hskp6 ),
    inference(resolution,[status(thm)],[c_84,c_119]) ).

cnf(c_7004,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(a505)
    | c0_1(X0)
    | c1_1(X0)
    | hskp29 ),
    inference(resolution,[status(thm)],[c_368,c_167]) ).

cnf(c_7005,plain,
    ( ~ c0_1(a505)
    | ~ c3_1(a494)
    | c0_1(a494)
    | c1_1(a494)
    | hskp29 ),
    inference(instantiation,[status(thm)],[c_7004]) ).

cnf(c_7021,plain,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(a505)
    | hskp29 ),
    inference(resolution,[status(thm)],[c_368,c_127]) ).

cnf(c_7022,plain,
    ( ~ c3_1(a494)
    | c0_1(a494)
    | c1_1(a494)
    | c3_1(a505)
    | hskp29 ),
    inference(instantiation,[status(thm)],[c_7021]) ).

cnf(c_7038,plain,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(a505)
    | hskp29 ),
    inference(resolution,[status(thm)],[c_368,c_126]) ).

cnf(c_7039,plain,
    ( ~ c3_1(a494)
    | c0_1(a494)
    | c1_1(a494)
    | c2_1(a505)
    | hskp29 ),
    inference(instantiation,[status(thm)],[c_7038]) ).

cnf(c_7106,plain,
    ( ~ c0_1(a505)
    | hskp4
    | hskp2 ),
    inference(resolution,[status(thm)],[c_87,c_167]) ).

cnf(c_7116,plain,
    ( c3_1(a505)
    | hskp4
    | hskp2 ),
    inference(resolution,[status(thm)],[c_87,c_127]) ).

cnf(c_7126,plain,
    ( c2_1(a505)
    | hskp4
    | hskp2 ),
    inference(resolution,[status(thm)],[c_87,c_126]) ).

cnf(c_7775,plain,
    ( c3_1(a500)
    | hskp21
    | hskp20 ),
    inference(resolution,[status(thm)],[c_83,c_99]) ).

cnf(c_7785,plain,
    ( c2_1(a500)
    | hskp21
    | hskp20 ),
    inference(resolution,[status(thm)],[c_83,c_98]) ).

cnf(c_7795,plain,
    ( c0_1(a500)
    | hskp21
    | hskp20 ),
    inference(resolution,[status(thm)],[c_83,c_97]) ).

cnf(c_7805,plain,
    ( c3_1(a500)
    | hskp13
    | hskp10 ),
    inference(resolution,[status(thm)],[c_82,c_99]) ).

cnf(c_7815,plain,
    ( c2_1(a500)
    | hskp13
    | hskp10 ),
    inference(resolution,[status(thm)],[c_82,c_98]) ).

cnf(c_7825,plain,
    ( c0_1(a500)
    | hskp13
    | hskp10 ),
    inference(resolution,[status(thm)],[c_82,c_97]) ).

cnf(c_15980,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_488]) ).

cnf(c_15981,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_488]) ).

cnf(c_15982,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_488]) ).

cnf(c_15984,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_486]) ).

cnf(c_15985,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_486]) ).

cnf(c_15986,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_486]) ).

cnf(c_15987,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_15988,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_484]) ).

cnf(c_15989,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_484]) ).

cnf(c_15990,negated_conjecture,
    ( sP3_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_15991,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_482]) ).

cnf(c_15992,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_15993,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_480]) ).

cnf(c_15994,negated_conjecture,
    ( sP2_iProver_def
    | sP4_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_15995,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_478]) ).

cnf(c_15996,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_478]) ).

cnf(c_15997,negated_conjecture,
    ( sP2_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_15998,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_476]) ).

cnf(c_15999,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_476]) ).

cnf(c_16000,negated_conjecture,
    ( sP4_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_16002,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_472]) ).

cnf(c_16003,negated_conjecture,
    ( hskp2
    | sP2_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_16005,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_468]) ).

cnf(c_16006,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_468]) ).

cnf(c_16007,negated_conjecture,
    ( hskp5
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_16010,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_464]) ).

cnf(c_16011,negated_conjecture,
    ( hskp15
    | sP9_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_16012,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_462]) ).

cnf(c_16013,negated_conjecture,
    ( hskp3
    | sP16_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

cnf(c_16014,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_459]) ).

cnf(c_16016,negated_conjecture,
    ( hskp20
    | sP7_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

cnf(c_16017,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_454]) ).

cnf(c_16018,negated_conjecture,
    ( hskp2
    | sP9_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_16019,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_452]) ).

cnf(c_16020,negated_conjecture,
    ( hskp24
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

cnf(c_16022,negated_conjecture,
    ( hskp2
    | sP12_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_16024,negated_conjecture,
    ( hskp4
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_16025,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_441]) ).

cnf(c_16026,negated_conjecture,
    ( hskp7
    | sP8_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

cnf(c_16027,negated_conjecture,
    ( hskp28
    | sP1_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

cnf(c_16029,negated_conjecture,
    ( hskp10
    | sP0_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

cnf(c_16030,negated_conjecture,
    ( hskp14
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_16031,negated_conjecture,
    ( hskp20
    | sP19_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_16032,negated_conjecture,
    ( hskp9
    | sP2_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_16033,negated_conjecture,
    ( hskp21
    | sP13_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_16034,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_425]) ).

cnf(c_16035,negated_conjecture,
    ( hskp23
    | sP2_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

cnf(c_16036,negated_conjecture,
    ( hskp6
    | sP4_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

cnf(c_16037,negated_conjecture,
    ( hskp9
    | sP6_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

cnf(c_16038,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_418]) ).

cnf(c_16039,negated_conjecture,
    ( hskp9
    | sP19_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

cnf(c_16040,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_415]) ).

cnf(c_16041,negated_conjecture,
    ( hskp22
    | sP24_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_16042,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_412]) ).

cnf(c_16043,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_412]) ).

cnf(c_16044,negated_conjecture,
    ( hskp0
    | sP27_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_16045,negated_conjecture,
    ( hskp1
    | sP12_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_16047,negated_conjecture,
    ( hskp13
    | hskp3
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_16052,negated_conjecture,
    ( hskp28
    | hskp16
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

cnf(c_16053,negated_conjecture,
    ( hskp17
    | hskp4
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_16054,negated_conjecture,
    ( hskp5
    | hskp4
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

cnf(c_16065,negated_conjecture,
    ( hskp31
    | hskp4
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

cnf(c_16067,negated_conjecture,
    ( hskp20
    | hskp12
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_16068,negated_conjecture,
    ( hskp11
    | hskp10
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_341]) ).

cnf(c_16075,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_15987]) ).

cnf(c_16079,negated_conjecture,
    ( sP3_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_15990]) ).

cnf(c_16083,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_15992]) ).

cnf(c_16087,negated_conjecture,
    ( sP2_iProver_def
    | sP4_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_15994]) ).

cnf(c_16091,negated_conjecture,
    ( sP2_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_15997]) ).

cnf(c_16094,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP10_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15995]) ).

cnf(c_16095,negated_conjecture,
    ( sP4_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_16000]) ).

cnf(c_16102,negated_conjecture,
    ( hskp2
    | sP2_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_16003]) ).

cnf(c_16106,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_16002]) ).

cnf(c_16108,negated_conjecture,
    ( hskp5
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_16007]) ).

cnf(c_16114,negated_conjecture,
    ( hskp15
    | sP9_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_16011]) ).

cnf(c_16117,negated_conjecture,
    ( hskp3
    | sP16_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16013]) ).

cnf(c_16123,negated_conjecture,
    ( hskp20
    | sP7_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_16016]) ).

cnf(c_16125,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP20_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16014]) ).

cnf(c_16126,negated_conjecture,
    ( hskp2
    | sP9_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_16018]) ).

cnf(c_16129,negated_conjecture,
    ( hskp24
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_16020]) ).

cnf(c_16135,negated_conjecture,
    ( hskp2
    | sP12_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_16022]) ).

cnf(c_16141,negated_conjecture,
    ( hskp4
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_16024]) ).

cnf(c_16142,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP22_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16019]) ).

cnf(c_16144,negated_conjecture,
    ( hskp7
    | sP8_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_16026]) ).

cnf(c_16147,negated_conjecture,
    ( hskp28
    | sP1_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_16027]) ).

cnf(c_16151,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15981]) ).

cnf(c_16153,negated_conjecture,
    ( hskp10
    | sP0_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16029]) ).

cnf(c_16155,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15980]) ).

cnf(c_16156,negated_conjecture,
    ( hskp14
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16030]) ).

cnf(c_16159,negated_conjecture,
    ( hskp20
    | sP19_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_16031]) ).

cnf(c_16160,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP23_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16025]) ).

cnf(c_16162,negated_conjecture,
    ( hskp9
    | sP2_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16032]) ).

cnf(c_16165,negated_conjecture,
    ( hskp21
    | sP13_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16033]) ).

cnf(c_16167,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP13_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15999]) ).

cnf(c_16168,negated_conjecture,
    ( hskp23
    | sP2_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_16035]) ).

cnf(c_16171,negated_conjecture,
    ( hskp6
    | sP4_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_16036]) ).

cnf(c_16174,negated_conjecture,
    ( hskp9
    | sP6_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16037]) ).

cnf(c_16177,negated_conjecture,
    ( hskp9
    | sP19_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_16039]) ).

cnf(c_16178,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP19_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16012]) ).

cnf(c_16179,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP25_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16038]) ).

cnf(c_16180,negated_conjecture,
    ( hskp22
    | sP24_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_16041]) ).

cnf(c_16181,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP26_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16040]) ).

cnf(c_16183,negated_conjecture,
    ( hskp0
    | sP27_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_16044]) ).

cnf(c_16185,negated_conjecture,
    ( ~ sP27_iProver_def
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16042]) ).

cnf(c_16186,negated_conjecture,
    ( hskp1
    | sP12_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_16045]) ).

cnf(c_16188,negated_conjecture,
    ( ~ sP12_iProver_def
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15998]) ).

cnf(c_16190,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_16006]) ).

cnf(c_16191,negated_conjecture,
    ( hskp13
    | hskp3
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_16047]) ).

cnf(c_16196,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_15986]) ).

cnf(c_16200,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15984]) ).

cnf(c_16201,negated_conjecture,
    ( hskp28
    | hskp16
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_16052]) ).

cnf(c_16203,negated_conjecture,
    ( hskp17
    | hskp4
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_16053]) ).

cnf(c_16204,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP18_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16010]) ).

cnf(c_16205,negated_conjecture,
    ( hskp5
    | hskp4
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_16054]) ).

cnf(c_16206,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP9_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15993]) ).

cnf(c_16208,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP21_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16017]) ).

cnf(c_16210,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15989]) ).

cnf(c_16212,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP2_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15982]) ).

cnf(c_16214,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP15_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16005]) ).

cnf(c_16218,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP8_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15991]) ).

cnf(c_16222,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP6_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15988]) ).

cnf(c_16224,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP11_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15996]) ).

cnf(c_16227,negated_conjecture,
    ( hskp31
    | hskp4
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_16065]) ).

cnf(c_16230,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP24_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16034]) ).

cnf(c_16231,negated_conjecture,
    ( hskp20
    | hskp12
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_16067]) ).

cnf(c_16232,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP28_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16043]) ).

cnf(c_16233,negated_conjecture,
    ( hskp11
    | hskp10
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_16068]) ).

cnf(c_16234,negated_conjecture,
    ( ~ sP4_iProver_def
    | c0_1(X0)
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15985]) ).

cnf(c_16344,plain,
    ( ~ c1_1(a494)
    | ~ sP6_iProver_def
    | c0_1(a494)
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_16222]) ).

cnf(c_16347,plain,
    ( ~ c3_1(a494)
    | ~ sP10_iProver_def
    | c0_1(a494)
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_16094]) ).

cnf(c_16352,plain,
    ( ~ c3_1(a494)
    | ~ sP25_iProver_def
    | c1_1(a494)
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_16179]) ).

cnf(c_16359,plain,
    ( ~ c1_1(a494)
    | ~ c3_1(a494)
    | ~ sP7_iProver_def
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_16210]) ).

cnf(c_16375,plain,
    ( ~ sP12_iProver_def
    | c0_1(a527)
    | c1_1(a527)
    | c3_1(a527) ),
    inference(instantiation,[status(thm)],[c_16188]) ).

cnf(c_16377,plain,
    ( ~ sP12_iProver_def
    | c0_1(a502)
    | c1_1(a502)
    | c3_1(a502) ),
    inference(instantiation,[status(thm)],[c_16188]) ).

cnf(c_16379,plain,
    ( ~ sP12_iProver_def
    | c0_1(a496)
    | c1_1(a496)
    | c3_1(a496) ),
    inference(instantiation,[status(thm)],[c_16188]) ).

cnf(c_16386,plain,
    ( ~ c1_1(a501)
    | ~ c2_1(a501)
    | ~ sP3_iProver_def
    | c0_1(a501) ),
    inference(instantiation,[status(thm)],[c_16200]) ).

cnf(c_16394,plain,
    ( ~ c0_1(a528)
    | ~ c1_1(a528)
    | ~ sP2_iProver_def
    | c3_1(a528) ),
    inference(instantiation,[status(thm)],[c_16212]) ).

cnf(c_16396,plain,
    ( ~ c0_1(a501)
    | ~ c1_1(a501)
    | ~ sP2_iProver_def
    | c3_1(a501) ),
    inference(instantiation,[status(thm)],[c_16212]) ).

cnf(c_16400,plain,
    ( ~ c1_1(a540)
    | ~ sP6_iProver_def
    | c0_1(a540)
    | c2_1(a540) ),
    inference(instantiation,[status(thm)],[c_16222]) ).

cnf(c_16404,plain,
    ( ~ c1_1(a514)
    | ~ sP6_iProver_def
    | c0_1(a514)
    | c2_1(a514) ),
    inference(instantiation,[status(thm)],[c_16222]) ).

cnf(c_16406,plain,
    ( ~ c1_1(a498)
    | ~ sP6_iProver_def
    | c0_1(a498)
    | c2_1(a498) ),
    inference(instantiation,[status(thm)],[c_16222]) ).

cnf(c_16410,plain,
    ( ~ c0_1(a500)
    | ~ c2_1(a500)
    | ~ sP23_iProver_def
    | c1_1(a500) ),
    inference(instantiation,[status(thm)],[c_16160]) ).

cnf(c_16413,plain,
    ( ~ c0_1(a520)
    | ~ c2_1(a520)
    | ~ sP23_iProver_def
    | c1_1(a520) ),
    inference(instantiation,[status(thm)],[c_16160]) ).

cnf(c_16416,plain,
    ( ~ c0_1(a499)
    | ~ c2_1(a499)
    | ~ sP23_iProver_def
    | c1_1(a499) ),
    inference(instantiation,[status(thm)],[c_16160]) ).

cnf(c_16428,plain,
    ( ~ c1_1(a540)
    | ~ c2_1(a540)
    | ~ c3_1(a540)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_16436,plain,
    ( ~ c1_1(a540)
    | ~ c3_1(a540)
    | ~ sP7_iProver_def
    | c2_1(a540) ),
    inference(instantiation,[status(thm)],[c_16210]) ).

cnf(c_16439,plain,
    ( ~ c1_1(a514)
    | ~ c3_1(a514)
    | ~ sP7_iProver_def
    | c2_1(a514) ),
    inference(instantiation,[status(thm)],[c_16210]) ).

cnf(c_16441,plain,
    ( ~ c1_1(a498)
    | ~ c3_1(a498)
    | ~ sP7_iProver_def
    | c2_1(a498) ),
    inference(instantiation,[status(thm)],[c_16210]) ).

cnf(c_16452,plain,
    ( ~ c2_1(a505)
    | ~ c3_1(a505)
    | ~ sP18_iProver_def
    | c0_1(a505) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_16455,plain,
    ( ~ c2_1(a497)
    | ~ c3_1(a497)
    | ~ sP18_iProver_def
    | c0_1(a497) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_16456,plain,
    ( ~ c2_1(a540)
    | ~ c3_1(a540)
    | ~ sP18_iProver_def
    | c0_1(a540) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_16458,plain,
    ( ~ c1_1(a540)
    | ~ c2_1(a540)
    | ~ sP3_iProver_def
    | c0_1(a540) ),
    inference(instantiation,[status(thm)],[c_16200]) ).

cnf(c_16469,plain,
    ( ~ c0_1(a538)
    | ~ c2_1(a538)
    | ~ sP22_iProver_def
    | c3_1(a538) ),
    inference(instantiation,[status(thm)],[c_16142]) ).

cnf(c_16471,plain,
    ( ~ c0_1(a520)
    | ~ c2_1(a520)
    | ~ sP22_iProver_def
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16142]) ).

cnf(c_16481,plain,
    ( ~ c1_1(a500)
    | ~ c2_1(a500)
    | ~ c3_1(a500)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_16496,plain,
    ( ~ c0_1(a520)
    | ~ c1_1(a520)
    | ~ sP2_iProver_def
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16212]) ).

cnf(c_16497,plain,
    ( ~ c0_1(a504)
    | ~ c1_1(a504)
    | ~ sP9_iProver_def
    | c2_1(a504) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

cnf(c_16500,plain,
    ( ~ c0_1(a528)
    | ~ c1_1(a528)
    | ~ sP9_iProver_def
    | c2_1(a528) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

cnf(c_16504,plain,
    ( ~ c0_1(a554)
    | ~ sP24_iProver_def
    | c1_1(a554)
    | c3_1(a554) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16505,plain,
    ( ~ c0_1(a538)
    | ~ sP24_iProver_def
    | c1_1(a538)
    | c3_1(a538) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16507,plain,
    ( ~ c0_1(a520)
    | ~ sP24_iProver_def
    | c1_1(a520)
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16510,plain,
    ( ~ c0_1(a496)
    | ~ sP24_iProver_def
    | c1_1(a496)
    | c3_1(a496) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16522,plain,
    ( ~ c2_1(a497)
    | ~ sP15_iProver_def
    | c0_1(a497)
    | c1_1(a497) ),
    inference(instantiation,[status(thm)],[c_16214]) ).

cnf(c_16539,plain,
    ( ~ c0_1(a509)
    | ~ sP19_iProver_def
    | c1_1(a509)
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

cnf(c_16547,plain,
    ( ~ c0_1(a496)
    | ~ sP19_iProver_def
    | c1_1(a496)
    | c2_1(a496) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

cnf(c_16548,plain,
    ( ~ c0_1(a554)
    | ~ c1_1(a554)
    | ~ sP9_iProver_def
    | c2_1(a554) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

cnf(c_16554,plain,
    ( ~ c0_1(a527)
    | ~ sP24_iProver_def
    | c1_1(a527)
    | c3_1(a527) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16556,plain,
    ( ~ c0_1(a527)
    | ~ c2_1(a527)
    | ~ sP22_iProver_def
    | c3_1(a527) ),
    inference(instantiation,[status(thm)],[c_16142]) ).

cnf(c_16566,plain,
    ( ~ c3_1(a536)
    | ~ sP8_iProver_def
    | c0_1(a536)
    | c1_1(a536) ),
    inference(instantiation,[status(thm)],[c_16218]) ).

cnf(c_16567,plain,
    ( ~ c3_1(a507)
    | ~ sP8_iProver_def
    | c0_1(a507)
    | c1_1(a507) ),
    inference(instantiation,[status(thm)],[c_16218]) ).

cnf(c_16572,plain,
    ( ~ c1_1(a528)
    | ~ c2_1(a528)
    | ~ sP13_iProver_def
    | c3_1(a528) ),
    inference(instantiation,[status(thm)],[c_16167]) ).

cnf(c_16578,plain,
    ( ~ sP27_iProver_def
    | c0_1(a536)
    | c1_1(a536)
    | c2_1(a536) ),
    inference(instantiation,[status(thm)],[c_16185]) ).

cnf(c_16595,plain,
    ( ~ c1_1(a495)
    | ~ sP11_iProver_def
    | c0_1(a495)
    | c3_1(a495) ),
    inference(instantiation,[status(thm)],[c_16224]) ).

cnf(c_16598,plain,
    ( ~ c0_1(a504)
    | ~ c1_1(a504)
    | ~ c2_1(a504)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_16190]) ).

cnf(c_16600,plain,
    ( ~ c0_1(a528)
    | ~ c1_1(a528)
    | ~ c2_1(a528)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_16190]) ).

cnf(c_16603,plain,
    ( ~ c0_1(a500)
    | ~ c1_1(a500)
    | ~ c2_1(a500)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_16190]) ).

cnf(c_16607,plain,
    ( ~ c0_1(a514)
    | ~ c1_1(a514)
    | ~ sP9_iProver_def
    | c2_1(a514) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

cnf(c_16627,plain,
    ( ~ c0_1(a522)
    | ~ c1_1(a522)
    | ~ c2_1(a522)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_16190]) ).

cnf(c_16637,plain,
    ( ~ c0_1(a554)
    | ~ sP26_iProver_def
    | c2_1(a554)
    | c3_1(a554) ),
    inference(instantiation,[status(thm)],[c_16181]) ).

cnf(c_16638,plain,
    ( ~ c0_1(a538)
    | ~ sP26_iProver_def
    | c2_1(a538)
    | c3_1(a538) ),
    inference(instantiation,[status(thm)],[c_16181]) ).

cnf(c_16647,plain,
    ( ~ c2_1(a527)
    | ~ sP28_iProver_def
    | c1_1(a527)
    | c3_1(a527) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_16648,plain,
    ( ~ c2_1(a502)
    | ~ sP28_iProver_def
    | c1_1(a502)
    | c3_1(a502) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_16679,plain,
    ( ~ c2_1(a520)
    | ~ sP28_iProver_def
    | c1_1(a520)
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_16688,plain,
    ( ~ c0_1(a532)
    | ~ sP19_iProver_def
    | c1_1(a532)
    | c2_1(a532) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

cnf(c_16703,plain,
    ( ~ c0_1(a509)
    | ~ c3_1(a509)
    | ~ sP21_iProver_def
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

cnf(c_16725,plain,
    ( ~ sP4_iProver_def
    | c0_1(a502)
    | c2_1(a502)
    | c3_1(a502) ),
    inference(instantiation,[status(thm)],[c_16234]) ).

cnf(c_16749,plain,
    ( ~ c0_1(a509)
    | ~ c1_1(a509)
    | ~ sP9_iProver_def
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

cnf(c_16750,plain,
    ( ~ c1_1(a509)
    | ~ c3_1(a509)
    | ~ sP7_iProver_def
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16210]) ).

cnf(c_16784,plain,
    ( ~ sP4_iProver_def
    | c0_1(a536)
    | c2_1(a536)
    | c3_1(a536) ),
    inference(instantiation,[status(thm)],[c_16234]) ).

cnf(c_16791,plain,
    ( ~ sP12_iProver_def
    | c0_1(a536)
    | c1_1(a536)
    | c3_1(a536) ),
    inference(instantiation,[status(thm)],[c_16188]) ).

cnf(c_16816,plain,
    ( ~ sP12_iProver_def
    | c0_1(a497)
    | c1_1(a497)
    | c3_1(a497) ),
    inference(instantiation,[status(thm)],[c_16188]) ).

cnf(c_16864,plain,
    ( ~ c1_1(a520)
    | ~ c2_1(a520)
    | ~ sP13_iProver_def
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16167]) ).

cnf(c_16879,plain,
    ( ~ c0_1(a541)
    | ~ c1_1(a541)
    | ~ sP9_iProver_def
    | c2_1(a541) ),
    inference(instantiation,[status(thm)],[c_16206]) ).

cnf(c_16885,plain,
    ( ~ c0_1(a500)
    | ~ c2_1(a500)
    | ~ c3_1(a500)
    | ~ sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_16106]) ).

cnf(c_16902,plain,
    ( ~ c0_1(a530)
    | ~ c3_1(a530)
    | ~ sP1_iProver_def
    | c1_1(a530) ),
    inference(instantiation,[status(thm)],[c_16151]) ).

cnf(c_16910,plain,
    ( ~ c2_1(a530)
    | ~ sP15_iProver_def
    | c0_1(a530)
    | c1_1(a530) ),
    inference(instantiation,[status(thm)],[c_16214]) ).

cnf(c_16917,plain,
    ( ~ c3_1(a532)
    | ~ sP8_iProver_def
    | c0_1(a532)
    | c1_1(a532) ),
    inference(instantiation,[status(thm)],[c_16218]) ).

cnf(c_16941,plain,
    ( ~ c1_1(a501)
    | ~ c2_1(a501)
    | ~ sP13_iProver_def
    | c3_1(a501) ),
    inference(instantiation,[status(thm)],[c_16167]) ).

cnf(c_16966,plain,
    ( ~ c0_1(a504)
    | ~ c3_1(a504)
    | ~ sP21_iProver_def
    | c2_1(a504) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

cnf(c_16976,plain,
    ( ~ c0_1(a510)
    | ~ sP19_iProver_def
    | c1_1(a510)
    | c2_1(a510) ),
    inference(instantiation,[status(thm)],[c_16178]) ).

cnf(c_17014,plain,
    ( ~ c0_1(a510)
    | ~ sP24_iProver_def
    | c1_1(a510)
    | c3_1(a510) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_17059,plain,
    ( ~ c2_1(a500)
    | ~ c3_1(a500)
    | ~ sP20_iProver_def
    | c1_1(a500) ),
    inference(instantiation,[status(thm)],[c_16125]) ).

cnf(c_17069,plain,
    ( ~ sP4_iProver_def
    | c0_1(a496)
    | c2_1(a496)
    | c3_1(a496) ),
    inference(instantiation,[status(thm)],[c_16234]) ).

cnf(c_17223,plain,
    ( ~ c0_1(a510)
    | ~ c3_1(a510)
    | ~ sP21_iProver_def
    | c2_1(a510) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

cnf(c_17236,plain,
    ( ~ c0_1(a520)
    | ~ c1_1(a520)
    | ~ c2_1(a520)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_16190]) ).

cnf(c_17296,plain,
    ( ~ c1_1(a540)
    | ~ c3_1(a540)
    | ~ sP0_iProver_def
    | c0_1(a540) ),
    inference(instantiation,[status(thm)],[c_16155]) ).

cnf(c_17297,plain,
    ( ~ sP4_iProver_def
    | c0_1(a559)
    | c2_1(a559)
    | c3_1(a559) ),
    inference(instantiation,[status(thm)],[c_16234]) ).

cnf(c_17308,plain,
    ( ~ sP4_iProver_def
    | c0_1(a498)
    | c2_1(a498)
    | c3_1(a498) ),
    inference(instantiation,[status(thm)],[c_16234]) ).

cnf(c_17395,plain,
    ( ~ c0_1(a510)
    | ~ sP26_iProver_def
    | c2_1(a510)
    | c3_1(a510) ),
    inference(instantiation,[status(thm)],[c_16181]) ).

cnf(c_17398,plain,
    ( ~ c0_1(a496)
    | ~ sP26_iProver_def
    | c2_1(a496)
    | c3_1(a496) ),
    inference(instantiation,[status(thm)],[c_16181]) ).

cnf(c_17430,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17398,c_17395,c_17308,c_17297,c_17296,c_17236,c_17223,c_17069,c_17059,c_17014,c_16976,c_16966,c_16941,c_16917,c_16910,c_16902,c_16885,c_16879,c_16864,c_16816,c_16784,c_16791,c_16749,c_16750,c_16725,c_16703,c_16688,c_16679,c_16648,c_16647,c_16638,c_16637,c_16627,c_16607,c_16603,c_16600,c_16598,c_16595,c_16578,c_16572,c_16567,c_16566,c_16554,c_16556,c_16548,c_16547,c_16539,c_16522,c_16510,c_16507,c_16505,c_16504,c_16500,c_16497,c_16496,c_16481,c_16471,c_16469,c_16456,c_16458,c_16455,c_16452,c_16441,c_16439,c_16436,c_16428,c_16416,c_16413,c_16410,c_16406,c_16404,c_16400,c_16396,c_16394,c_16386,c_16379,c_16377,c_16375,c_16359,c_16352,c_16347,c_16344,c_16233,c_16231,c_16227,c_16205,c_16203,c_16201,c_16191,c_16186,c_16183,c_16180,c_16177,c_16174,c_16171,c_16168,c_16165,c_16162,c_16159,c_16156,c_16153,c_16147,c_16144,c_16141,c_16135,c_16129,c_16126,c_16123,c_16117,c_16114,c_16108,c_16102,c_16095,c_16091,c_16087,c_16083,c_16079,c_16075,c_7825,c_7815,c_7805,c_7795,c_7785,c_7775,c_7126,c_7116,c_7106,c_7039,c_7022,c_7005,c_4827,c_4817,c_3766,c_3756,c_3746,c_2872,c_2862,c_2852,c_2751,c_2741,c_142,c_143,c_144,c_145,c_146,c_147,c_148,c_149,c_150,c_154,c_155,c_156,c_157,c_158,c_159,c_160,c_161,c_162,c_163,c_164,c_165,c_166,c_168,c_169,c_170,c_171,c_172,c_173,c_174,c_175,c_176,c_177,c_178,c_179,c_180,c_181,c_182,c_183,c_88,c_89,c_90,c_94,c_95,c_96,c_97,c_98,c_99,c_103,c_104,c_105,c_106,c_107,c_108,c_112,c_113,c_114,c_115,c_116,c_117,c_118,c_119,c_120,c_121,c_122,c_123,c_124,c_125,c_128,c_129,c_130,c_131,c_132,c_133,c_134,c_135]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN470-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 21:03:51 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.13/1.18  % SZS status Started for theBenchmark.p
% 4.13/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.18  
% 4.13/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.13/1.18  
% 4.13/1.18  ------  iProver source info
% 4.13/1.18  
% 4.13/1.18  git: date: 2024-05-02 19:28:25 +0000
% 4.13/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.13/1.18  git: non_committed_changes: false
% 4.13/1.18  
% 4.13/1.18  ------ Parsing...successful
% 4.13/1.18  
% 4.13/1.18  ------  preprocesses with Option_epr_non_horn_non_eq
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.13/1.18  
% 4.13/1.18  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 4.13/1.18   gs_s  sp: 105 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.13/1.18  ------ Proving...
% 4.13/1.18  ------ Problem Properties 
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  clauses                                 194
% 4.13/1.18  conjectures                             194
% 4.13/1.18  EPR                                     194
% 4.13/1.18  Horn                                    111
% 4.13/1.18  unary                                   0
% 4.13/1.18  binary                                  96
% 4.13/1.18  lits                                    516
% 4.13/1.18  lits eq                                 0
% 4.13/1.18  fd_pure                                 0
% 4.13/1.18  fd_pseudo                               0
% 4.13/1.18  fd_cond                                 0
% 4.13/1.18  fd_pseudo_cond                          0
% 4.13/1.18  AC symbols                              0
% 4.13/1.18  
% 4.13/1.18  ------ Schedule EPR non Horn non eq is on
% 4.13/1.18  
% 4.13/1.18  ------ no equalities: superposition off 
% 4.13/1.18  
% 4.13/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  ------ 
% 4.13/1.18  Current options:
% 4.13/1.18  ------ 
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  ------ Proving...
% 4.13/1.18  
% 4.13/1.18  
% 4.13/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.18  
% 4.13/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.19  
% 4.13/1.19  
%------------------------------------------------------------------------------