TSTP Solution File: SYN478-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN478-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 03:31:05 EDT 2024

% Result   : Unsatisfiable 4.24s 1.16s
% Output   : CNFRefutation 4.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  106
% Syntax   : Number of clauses     :  299 (   2 unt; 177 nHn; 269 RR)
%            Number of literals    : 1296 (   0 equ; 615 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   55 (  54 usr;  51 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  202 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( hskp26
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(c_50,negated_conjecture,
    ( hskp20
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(c_58,negated_conjecture,
    ( ~ hskp23
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

cnf(c_75,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

cnf(c_81,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(c_82,negated_conjecture,
    ( hskp18
    | hskp27
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(c_85,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(c_86,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(c_94,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1338) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1328) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1307) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1411) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(c_108,negated_conjecture,
    ( ~ hskp25
    | c0_1(a1394) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp20
    | c1_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp20
    | c2_1(a1348) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1339) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp17
    | c2_1(a1334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1334) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1333) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1331) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1331) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp14
    | c0_1(a1330) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp11
    | c0_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp11
    | c3_1(a1324) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1320) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1319) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp6
    | c3_1(a1315) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1312) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp3
    | c0_1(a1311) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp3
    | c2_1(a1311) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp2
    | c1_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp2
    | c3_1(a1309) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1308) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

cnf(c_141,negated_conjecture,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c3_1(a1394)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(c_152,negated_conjecture,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(c_154,negated_conjecture,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c3_1(a1331)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(c_160,negated_conjecture,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(c_163,negated_conjecture,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(c_164,negated_conjecture,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(c_168,negated_conjecture,
    ( ~ c0_1(a1320)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_170,negated_conjecture,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(c_172,negated_conjecture,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c0_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(c_179,negated_conjecture,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(c_180,negated_conjecture,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(c_181,negated_conjecture,
    ( ~ c1_1(a1311)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(c_182,negated_conjecture,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(c_183,negated_conjecture,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(c_184,negated_conjecture,
    ( ~ c2_1(a1308)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(c_189,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp2
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

cnf(c_191,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(c_194,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp15
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(c_195,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X0)
    | hskp18
    | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(c_196,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X0)
    | hskp8
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

cnf(c_200,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp17
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(c_203,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp17
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp14
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(c_212,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp12
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(c_217,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(c_219,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(c_220,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(c_224,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(c_227,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(c_233,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(c_236,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

cnf(c_238,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

cnf(c_239,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

cnf(c_241,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

cnf(c_243,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

cnf(c_244,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

cnf(c_245,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

cnf(c_246,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

cnf(c_247,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

cnf(c_248,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

cnf(c_283,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_81,c_94,c_81,c_75,c_58]) ).

cnf(c_345,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_94,c_81,c_75,c_58,c_191]) ).

cnf(c_351,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_94,c_81,c_75,c_58,c_189]) ).

cnf(c_363,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp17
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_94,c_81,c_75,c_58,c_200]) ).

cnf(c_375,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp8
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_94,c_81,c_75,c_58,c_196]) ).

cnf(c_378,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp18
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_94,c_81,c_75,c_58,c_195]) ).

cnf(c_381,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp15
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_94,c_81,c_75,c_58,c_194]) ).

cnf(c_390,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_94,c_81,c_75,c_58,c_214]) ).

cnf(c_391,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_390]) ).

cnf(c_396,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_94,c_81,c_75,c_58,c_212]) ).

cnf(c_397,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp14 ),
    inference(renaming,[status(thm)],[c_396]) ).

cnf(c_405,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp14
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_94,c_81,c_75,c_58,c_209]) ).

cnf(c_406,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp14
    | hskp8 ),
    inference(renaming,[status(thm)],[c_405]) ).

cnf(c_423,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_94,c_81,c_75,c_58,c_203]) ).

cnf(c_424,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp16 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_429,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_94,c_81,c_75,c_58,c_219]) ).

cnf(c_431,negated_conjecture,
    ( ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_94,c_81,c_75,c_58,c_218]) ).

cnf(c_433,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_94,c_81,c_75,c_58,c_217]) ).

cnf(c_437,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_94,c_81,c_75,c_58,c_225]) ).

cnf(c_438,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_440,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_94,c_81,c_75,c_58,c_224]) ).

cnf(c_441,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_445,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_94,c_81,c_75,c_58,c_222]) ).

cnf(c_446,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_447,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_94,c_81,c_75,c_58,c_221]) ).

cnf(c_448,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_449,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_94,c_81,c_75,c_58,c_220]) ).

cnf(c_450,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_449]) ).

cnf(c_456,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_94,c_81,c_75,c_58,c_228]) ).

cnf(c_457,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_458,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_94,c_81,c_75,c_58,c_227]) ).

cnf(c_459,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_458]) ).

cnf(c_466,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_94,c_81,c_75,c_58,c_233]) ).

cnf(c_467,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_474,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_94,c_81,c_75,c_58,c_236]) ).

cnf(c_475,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_479,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_94,c_81,c_75,c_58,c_239]) ).

cnf(c_480,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_482,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_94,c_81,c_75,c_58,c_238]) ).

cnf(c_483,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_485,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_94,c_81,c_75,c_58,c_242]) ).

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

cnf(c_487,plain,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_241,c_283]) ).

cnf(c_488,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_489,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_94,c_81,c_75,c_58,c_244]) ).

cnf(c_490,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_489]) ).

cnf(c_491,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_94,c_81,c_75,c_58,c_243]) ).

cnf(c_492,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_491]) ).

cnf(c_493,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_94,c_81,c_75,c_58,c_247]) ).

cnf(c_494,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_493]) ).

cnf(c_495,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_94,c_81,c_75,c_58,c_246]) ).

cnf(c_496,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_495]) ).

cnf(c_497,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_245,c_94,c_81,c_75,c_58,c_245]) ).

cnf(c_498,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_497]) ).

cnf(c_499,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_248,c_94,c_81,c_75,c_58,c_248]) ).

cnf(c_500,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_499]) ).

cnf(c_1897,plain,
    ( ~ c3_1(a1394)
    | hskp28
    | hskp14 ),
    inference(resolution,[status(thm)],[c_85,c_143]) ).

cnf(c_1917,plain,
    ( c0_1(a1394)
    | hskp28
    | hskp14 ),
    inference(resolution,[status(thm)],[c_85,c_108]) ).

cnf(c_4678,plain,
    ( ~ c2_1(a1339)
    | hskp27
    | hskp14 ),
    inference(resolution,[status(thm)],[c_82,c_155]) ).

cnf(c_4688,plain,
    ( ~ c0_1(a1339)
    | hskp27
    | hskp14 ),
    inference(resolution,[status(thm)],[c_82,c_154]) ).

cnf(c_4698,plain,
    ( c1_1(a1339)
    | hskp27
    | hskp14 ),
    inference(resolution,[status(thm)],[c_82,c_118]) ).

cnf(c_5170,plain,
    ( ~ c3_1(a1316)
    | hskp4
    | hskp3 ),
    inference(resolution,[status(thm)],[c_87,c_174]) ).

cnf(c_5180,plain,
    ( ~ c2_1(a1316)
    | hskp4
    | hskp3 ),
    inference(resolution,[status(thm)],[c_87,c_173]) ).

cnf(c_5190,plain,
    ( ~ c0_1(a1316)
    | hskp4
    | hskp3 ),
    inference(resolution,[status(thm)],[c_87,c_172]) ).

cnf(c_6100,plain,
    ( ~ c0_1(a1348)
    | hskp18 ),
    inference(resolution,[status(thm)],[c_50,c_152]) ).

cnf(c_6107,plain,
    ( c2_1(a1348)
    | hskp18 ),
    inference(resolution,[status(thm)],[c_50,c_115]) ).

cnf(c_6114,plain,
    ( c1_1(a1348)
    | hskp18 ),
    inference(resolution,[status(thm)],[c_50,c_114]) ).

cnf(c_6751,plain,
    ( ~ c0_1(a1325)
    | hskp26 ),
    inference(resolution,[status(thm)],[c_49,c_165]) ).

cnf(c_6758,plain,
    ( c3_1(a1325)
    | hskp26 ),
    inference(resolution,[status(thm)],[c_49,c_126]) ).

cnf(c_6765,plain,
    ( c1_1(a1325)
    | hskp26 ),
    inference(resolution,[status(thm)],[c_49,c_125]) ).

cnf(c_9003,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_500]) ).

cnf(c_9004,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_500]) ).

cnf(c_9005,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_500]) ).

cnf(c_9006,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

cnf(c_9007,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_498]) ).

cnf(c_9008,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_498]) ).

cnf(c_9009,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_498]) ).

cnf(c_9010,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

cnf(c_9011,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_496]) ).

cnf(c_9012,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_9013,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_494]) ).

cnf(c_9014,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_494]) ).

cnf(c_9015,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_494]) ).

cnf(c_9016,negated_conjecture,
    ( sP7_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_9018,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_492]) ).

cnf(c_9020,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_490]) ).

cnf(c_9021,negated_conjecture,
    ( sP6_iProver_def
    | sP8_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

cnf(c_9022,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_488]) ).

cnf(c_9023,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_488]) ).

cnf(c_9024,negated_conjecture,
    ( sP4_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_9025,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_486]) ).

cnf(c_9026,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_486]) ).

cnf(c_9027,negated_conjecture,
    ( sP9_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_9029,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_483]) ).

cnf(c_9032,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_480]) ).

cnf(c_9033,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_480]) ).

cnf(c_9034,negated_conjecture,
    ( hskp17
    | sP20_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_9036,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_475]) ).

cnf(c_9041,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_467]) ).

cnf(c_9042,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_467]) ).

cnf(c_9050,negated_conjecture,
    ( hskp4
    | sP1_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

cnf(c_9051,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_457]) ).

cnf(c_9052,negated_conjecture,
    ( hskp14
    | sP22_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

cnf(c_9055,negated_conjecture,
    ( hskp3
    | sP18_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

cnf(c_9056,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_def])],[c_448]) ).

cnf(c_9058,negated_conjecture,
    ( hskp8
    | sP0_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_9060,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_441]) ).

cnf(c_9061,negated_conjecture,
    ( hskp13
    | sP4_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

cnf(c_9062,negated_conjecture,
    ( hskp15
    | sP28_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_9064,negated_conjecture,
    ( hskp6
    | sP1_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_9065,negated_conjecture,
    ( hskp9
    | sP12_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_9066,negated_conjecture,
    ( hskp11
    | sP13_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_9068,negated_conjecture,
    ( hskp17
    | hskp16
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_9074,negated_conjecture,
    ( hskp14
    | hskp8
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

cnf(c_9077,negated_conjecture,
    ( hskp12
    | hskp14
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

cnf(c_9081,negated_conjecture,
    ( hskp15
    | hskp14
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

cnf(c_9082,negated_conjecture,
    ( hskp18
    | hskp29
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

cnf(c_9083,negated_conjecture,
    ( hskp8
    | hskp7
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

cnf(c_9087,negated_conjecture,
    ( hskp17
    | hskp4
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

cnf(c_9091,negated_conjecture,
    ( hskp2
    | hskp1
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_351]) ).

cnf(c_9127,plain,
    ( ~ c0_1(a1338)
    | ~ c1_1(a1338)
    | ~ c2_1(a1338)
    | hskp13 ),
    inference(instantiation,[status(thm)],[c_391]) ).

cnf(c_9131,plain,
    ( ~ c1_1(a1338)
    | ~ c3_1(a1338)
    | ~ sP3_iProver_def
    | c0_1(a1338) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

cnf(c_9132,plain,
    ( ~ c3_1(a1338)
    | ~ c2_1(a1338)
    | ~ sP0_iProver_def
    | c0_1(a1338) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

cnf(c_9136,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ c2_1(a1328)
    | ~ sP21_iProver_def ),
    inference(instantiation,[status(thm)],[c_9033]) ).

cnf(c_9139,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ c3_1(a1328)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9005]) ).

cnf(c_9143,plain,
    ( ~ c0_1(a1328)
    | ~ c1_1(a1328)
    | ~ c2_1(a1328)
    | hskp13 ),
    inference(instantiation,[status(thm)],[c_391]) ).

cnf(c_9144,plain,
    ( ~ c1_1(a1328)
    | ~ c3_1(a1328)
    | ~ c2_1(a1328)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_9032]) ).

cnf(c_9159,plain,
    ( ~ c0_1(a1307)
    | ~ c1_1(a1307)
    | ~ c2_1(a1307)
    | hskp13 ),
    inference(instantiation,[status(thm)],[c_391]) ).

cnf(c_9167,plain,
    ( ~ c1_1(a1348)
    | ~ c2_1(a1348)
    | ~ sP23_iProver_def
    | c0_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9041]) ).

cnf(c_9179,plain,
    ( ~ c3_1(a1334)
    | ~ c2_1(a1334)
    | ~ sP0_iProver_def
    | c0_1(a1334) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

cnf(c_9180,plain,
    ( ~ c1_1(a1331)
    | ~ c2_1(a1331)
    | ~ sP23_iProver_def
    | c0_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9041]) ).

cnf(c_9181,plain,
    ( ~ c1_1(a1331)
    | ~ c2_1(a1331)
    | ~ sP7_iProver_def
    | c3_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9013]) ).

cnf(c_9182,plain,
    ( ~ c2_1(a1331)
    | ~ sP1_iProver_def
    | c0_1(a1331)
    | c3_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9004]) ).

cnf(c_9183,plain,
    ( ~ c0_1(a1331)
    | ~ c1_1(a1331)
    | ~ c2_1(a1331)
    | hskp13 ),
    inference(instantiation,[status(thm)],[c_391]) ).

cnf(c_9185,plain,
    ( ~ c0_1(a1330)
    | ~ c3_1(a1330)
    | ~ sP24_iProver_def
    | c2_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9042]) ).

cnf(c_9188,plain,
    ( ~ c0_1(a1330)
    | ~ sP12_iProver_def
    | c3_1(a1330)
    | c2_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9020]) ).

cnf(c_9193,plain,
    ( ~ c3_1(a1325)
    | ~ sP4_iProver_def
    | c0_1(a1325)
    | c2_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

cnf(c_9194,plain,
    ( ~ c1_1(a1325)
    | ~ c3_1(a1325)
    | ~ sP3_iProver_def
    | c0_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

cnf(c_9195,plain,
    ( ~ c3_1(a1325)
    | ~ c2_1(a1325)
    | ~ sP0_iProver_def
    | c0_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

cnf(c_9210,plain,
    ( ~ c2_1(a1320)
    | ~ sP1_iProver_def
    | c0_1(a1320)
    | c3_1(a1320) ),
    inference(instantiation,[status(thm)],[c_9004]) ).

cnf(c_9214,plain,
    ( ~ c3_1(a1315)
    | ~ sP4_iProver_def
    | c0_1(a1315)
    | c2_1(a1315) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

cnf(c_9216,plain,
    ( ~ c3_1(a1315)
    | ~ c2_1(a1315)
    | ~ sP0_iProver_def
    | c0_1(a1315) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

cnf(c_9222,plain,
    ( ~ c0_1(a1331)
    | ~ c1_1(a1331)
    | ~ sP9_iProver_def
    | c3_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

cnf(c_9226,plain,
    ( ~ c0_1(a1328)
    | ~ c2_1(a1328)
    | ~ sP6_iProver_def
    | c1_1(a1328) ),
    inference(instantiation,[status(thm)],[c_9011]) ).

cnf(c_9240,plain,
    ( ~ c0_1(a1411)
    | ~ sP12_iProver_def
    | c3_1(a1411)
    | c2_1(a1411) ),
    inference(instantiation,[status(thm)],[c_9020]) ).

cnf(c_9276,plain,
    ( ~ c1_1(a1348)
    | ~ c3_1(a1348)
    | ~ sP3_iProver_def
    | c0_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

cnf(c_9277,plain,
    ( ~ c3_1(a1348)
    | ~ c2_1(a1348)
    | ~ sP0_iProver_def
    | c0_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

cnf(c_9282,plain,
    ( ~ c1_1(a1339)
    | c0_1(a1339)
    | c3_1(a1339)
    | hskp28 ),
    inference(instantiation,[status(thm)],[c_345]) ).

cnf(c_9284,plain,
    ( ~ c2_1(a1339)
    | ~ sP1_iProver_def
    | c0_1(a1339)
    | c3_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9004]) ).

cnf(c_9285,plain,
    ( ~ c3_1(a1339)
    | ~ sP4_iProver_def
    | c0_1(a1339)
    | c2_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

cnf(c_9286,plain,
    ( ~ c1_1(a1339)
    | ~ c3_1(a1339)
    | ~ sP3_iProver_def
    | c0_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

cnf(c_9295,plain,
    ( ~ c0_1(a1330)
    | ~ sP30_iProver_def
    | c1_1(a1330)
    | c3_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

cnf(c_9296,plain,
    ( ~ c0_1(a1330)
    | ~ sP28_iProver_def
    | c1_1(a1330)
    | c2_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9051]) ).

cnf(c_9307,plain,
    ( ~ c0_1(a1394)
    | ~ sP30_iProver_def
    | c1_1(a1394)
    | c3_1(a1394) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

cnf(c_9311,plain,
    ( ~ c0_1(a1312)
    | ~ sP30_iProver_def
    | c1_1(a1312)
    | c3_1(a1312) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

cnf(c_9312,plain,
    ( ~ c0_1(a1311)
    | ~ sP30_iProver_def
    | c1_1(a1311)
    | c3_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

cnf(c_9318,plain,
    ( ~ c3_1(a1320)
    | ~ c2_1(a1320)
    | ~ sP0_iProver_def
    | c0_1(a1320) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

cnf(c_9321,plain,
    ( ~ c3_1(a1309)
    | ~ sP4_iProver_def
    | c0_1(a1309)
    | c2_1(a1309) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

cnf(c_9334,plain,
    ( ~ c0_1(a1330)
    | ~ c3_1(a1330)
    | ~ sP5_iProver_def
    | c1_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

cnf(c_9336,plain,
    ( ~ c0_1(a1324)
    | ~ c3_1(a1324)
    | ~ sP5_iProver_def
    | c1_1(a1324) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

cnf(c_9343,plain,
    ( ~ c0_1(a1394)
    | ~ c1_1(a1394)
    | ~ sP9_iProver_def
    | c3_1(a1394) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

cnf(c_9347,plain,
    ( ~ c0_1(a1311)
    | ~ c1_1(a1311)
    | ~ sP9_iProver_def
    | c3_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

cnf(c_9350,plain,
    ( ~ c3_1(a1330)
    | ~ sP8_iProver_def
    | c1_1(a1330)
    | c2_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9355,plain,
    ( ~ c3_1(a1308)
    | ~ sP8_iProver_def
    | c1_1(a1308)
    | c2_1(a1308) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9359,plain,
    ( ~ c1_1(a1333)
    | ~ sP14_iProver_def
    | c3_1(a1333)
    | c2_1(a1333) ),
    inference(instantiation,[status(thm)],[c_9023]) ).

cnf(c_9365,plain,
    ( ~ c3_1(a1315)
    | ~ sP8_iProver_def
    | c1_1(a1315)
    | c2_1(a1315) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

cnf(c_9411,plain,
    ( ~ sP29_iProver_def
    | c0_1(a1333)
    | c3_1(a1333)
    | c2_1(a1333) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

cnf(c_9416,plain,
    ( ~ c0_1(a1333)
    | ~ c1_1(a1333)
    | ~ sP9_iProver_def
    | c3_1(a1333) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

cnf(c_9421,plain,
    ( ~ c0_1(a1331)
    | ~ c2_1(a1331)
    | ~ sP22_iProver_def
    | c3_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

cnf(c_9422,plain,
    ( ~ c1_1(a1331)
    | ~ sP15_iProver_def
    | c0_1(a1331)
    | c3_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

cnf(c_9428,plain,
    ( ~ c1_1(a1331)
    | c0_1(a1331)
    | c3_1(a1331)
    | hskp28 ),
    inference(instantiation,[status(thm)],[c_345]) ).

cnf(c_9429,plain,
    ( ~ c0_1(a1326)
    | ~ sP30_iProver_def
    | c1_1(a1326)
    | c3_1(a1326) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

cnf(c_9430,plain,
    ( ~ c0_1(a1326)
    | ~ sP28_iProver_def
    | c1_1(a1326)
    | c2_1(a1326) ),
    inference(instantiation,[status(thm)],[c_9051]) ).

cnf(c_9436,plain,
    ( ~ sP16_iProver_def
    | c1_1(a1326)
    | c3_1(a1326)
    | c2_1(a1326) ),
    inference(instantiation,[status(thm)],[c_9026]) ).

cnf(c_9437,plain,
    ( ~ sP11_iProver_def
    | c0_1(a1326)
    | c1_1(a1326)
    | c2_1(a1326) ),
    inference(instantiation,[status(thm)],[c_9018]) ).

cnf(c_9441,plain,
    ( ~ sP29_iProver_def
    | c0_1(a1326)
    | c3_1(a1326)
    | c2_1(a1326) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

cnf(c_9457,plain,
    ( ~ c2_1(a1319)
    | ~ sP1_iProver_def
    | c0_1(a1319)
    | c3_1(a1319) ),
    inference(instantiation,[status(thm)],[c_9004]) ).

cnf(c_9458,plain,
    ( ~ c1_1(a1319)
    | c0_1(a1319)
    | c3_1(a1319)
    | hskp28 ),
    inference(instantiation,[status(thm)],[c_345]) ).

cnf(c_9476,plain,
    ( ~ c0_1(a1328)
    | ~ c3_1(a1328)
    | ~ sP5_iProver_def
    | c1_1(a1328) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

cnf(c_9481,plain,
    ( ~ c0_1(a1311)
    | ~ c3_1(a1311)
    | ~ sP5_iProver_def
    | c1_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

cnf(c_9486,plain,
    ( ~ sP18_iProver_def
    | c0_1(a1319)
    | c1_1(a1319)
    | c3_1(a1319) ),
    inference(instantiation,[status(thm)],[c_9029]) ).

cnf(c_9501,plain,
    ( ~ c0_1(a1309)
    | ~ c1_1(a1309)
    | ~ c3_1(a1309)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_9005]) ).

cnf(c_9505,plain,
    ( ~ c0_1(a1311)
    | ~ c2_1(a1311)
    | ~ sP6_iProver_def
    | c1_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9011]) ).

cnf(c_9516,plain,
    ( ~ sP11_iProver_def
    | c0_1(a1316)
    | c1_1(a1316)
    | c2_1(a1316) ),
    inference(instantiation,[status(thm)],[c_9018]) ).

cnf(c_9525,plain,
    ( ~ c1_1(a1348)
    | ~ sP15_iProver_def
    | c0_1(a1348)
    | c3_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

cnf(c_9559,plain,
    ( ~ c1_1(a1316)
    | c0_1(a1316)
    | c3_1(a1316)
    | hskp28 ),
    inference(instantiation,[status(thm)],[c_345]) ).

cnf(c_9589,plain,
    ( ~ sP29_iProver_def
    | c0_1(a1339)
    | c3_1(a1339)
    | c2_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

cnf(c_9593,plain,
    ( ~ sP29_iProver_def
    | c0_1(a1316)
    | c3_1(a1316)
    | c2_1(a1316) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

cnf(c_9599,plain,
    ( ~ c1_1(a1339)
    | ~ sP13_iProver_def
    | c0_1(a1339)
    | c2_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9600,plain,
    ( ~ c1_1(a1333)
    | ~ sP13_iProver_def
    | c0_1(a1333)
    | c2_1(a1333) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9602,plain,
    ( ~ c1_1(a1325)
    | ~ sP13_iProver_def
    | c0_1(a1325)
    | c2_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9603,plain,
    ( ~ c1_1(a1309)
    | ~ sP13_iProver_def
    | c0_1(a1309)
    | c2_1(a1309) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

cnf(c_9610,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9603,c_9602,c_9600,c_9599,c_9593,c_9589,c_9559,c_9525,c_9516,c_9505,c_9501,c_9486,c_9481,c_9476,c_9457,c_9458,c_9441,c_9429,c_9430,c_9436,c_9437,c_9421,c_9422,c_9428,c_9411,c_9416,c_9365,c_9359,c_9355,c_9350,c_9347,c_9343,c_9336,c_9334,c_9321,c_9318,c_9312,c_9311,c_9307,c_9295,c_9296,c_9282,c_9284,c_9285,c_9286,c_9276,c_9277,c_9240,c_9226,c_9222,c_9214,c_9216,c_9210,c_9193,c_9194,c_9195,c_9185,c_9188,c_9180,c_9181,c_9182,c_9183,c_9179,c_9167,c_9159,c_9144,c_9143,c_9136,c_9139,c_9131,c_9132,c_9127,c_9091,c_9087,c_9083,c_9082,c_9081,c_9077,c_9074,c_9068,c_9066,c_9065,c_9064,c_9062,c_9061,c_9058,c_9055,c_9052,c_9050,c_9034,c_9027,c_9024,c_9021,c_9016,c_9012,c_9010,c_9006,c_6765,c_6758,c_6751,c_6114,c_6107,c_6100,c_5190,c_5180,c_5170,c_4698,c_4688,c_4678,c_1917,c_1897,c_141,c_142,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_170,c_171,c_172,c_173,c_174,c_175,c_176,c_179,c_180,c_181,c_182,c_183,c_184,c_98,c_99,c_100,c_101,c_102,c_103,c_104,c_105,c_106,c_107,c_118,c_119,c_120,c_121,c_122,c_123,c_124,c_125,c_126,c_127,c_128,c_131,c_132,c_133,c_135,c_136,c_137,c_138,c_139,c_140,c_86]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN478-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:02:22 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.24/1.16  % SZS status Started for theBenchmark.p
% 4.24/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.16  
% 4.24/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.24/1.16  
% 4.24/1.16  ------  iProver source info
% 4.24/1.16  
% 4.24/1.16  git: date: 2024-05-02 19:28:25 +0000
% 4.24/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.24/1.16  git: non_committed_changes: false
% 4.24/1.16  
% 4.24/1.16  ------ Parsing...successful
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.24/1.16  
% 4.24/1.16  ------ Preprocessing... gs_s  sp: 101 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.24/1.16  ------ Proving...
% 4.24/1.16  ------ Problem Properties 
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  clauses                                 200
% 4.24/1.16  conjectures                             200
% 4.24/1.16  EPR                                     200
% 4.24/1.16  Horn                                    109
% 4.24/1.16  unary                                   0
% 4.24/1.16  binary                                  95
% 4.24/1.16  lits                                    538
% 4.24/1.16  lits eq                                 0
% 4.24/1.16  fd_pure                                 0
% 4.24/1.16  fd_pseudo                               0
% 4.24/1.16  fd_cond                                 0
% 4.24/1.16  fd_pseudo_cond                          0
% 4.24/1.16  AC symbols                              0
% 4.24/1.16  
% 4.24/1.16  ------ Input Options Time Limit: Unbounded
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  ------ 
% 4.24/1.16  Current options:
% 4.24/1.16  ------ 
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  ------ Proving...
% 4.24/1.16  
% 4.24/1.16  
% 4.24/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.16  
% 4.24/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.16  
% 4.24/1.16  
%------------------------------------------------------------------------------