TSTP Solution File: SYN442-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN442-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 03:30:41 EDT 2024

% Result   : Unsatisfiable 4.07s 1.16s
% Output   : CNFRefutation 4.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  100
% Syntax   : Number of clauses     :  345 (   2 unt; 213 nHn; 320 RR)
%            Number of literals    : 1445 (   0 equ; 719 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   58 (  57 usr;  54 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  216 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_70,negated_conjecture,
    ( ~ hskp10
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

cnf(c_75,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

cnf(c_80,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

cnf(c_82,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(c_83,negated_conjecture,
    ( hskp10
    | hskp5
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(c_84,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(c_88,negated_conjecture,
    ( ~ hskp29
    | c0_1(a150) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp29
    | c1_1(a150) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(c_90,negated_conjecture,
    ( ~ hskp29
    | c3_1(a150) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp28
    | c0_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp28
    | c2_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(c_93,negated_conjecture,
    ( ~ hskp28
    | c3_1(a143) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp27
    | c1_1(a137) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp27
    | c2_1(a137) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp27
    | c3_1(a137) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp25
    | c2_1(a192) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp21
    | c3_1(a170) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp20
    | c1_1(a168) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp19
    | c0_1(a162) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp19
    | c3_1(a162) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp18
    | c0_1(a159) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp16
    | c0_1(a151) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp16
    | c1_1(a151) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp15
    | c3_1(a149) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp13
    | c2_1(a144) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp12
    | c1_1(a140) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp12
    | c3_1(a140) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp9
    | c0_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp9
    | c2_1(a136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp5
    | c1_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp5
    | c3_1(a131) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp4
    | c1_1(a130) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp4
    | c2_1(a130) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp2
    | c0_1(a126) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp1
    | c0_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp1
    | c1_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(c_134,negated_conjecture,
    ( ~ c1_1(a192)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(c_135,negated_conjecture,
    ( ~ c3_1(a192)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ c1_1(a183)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(c_137,negated_conjecture,
    ( ~ c2_1(a183)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ c3_1(a183)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(c_141,negated_conjecture,
    ( ~ c0_1(a170)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a170)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c0_1(a168)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c2_1(a168)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(c_145,negated_conjecture,
    ( ~ c2_1(a162)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(c_146,negated_conjecture,
    ( ~ c2_1(a159)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(c_147,negated_conjecture,
    ( ~ c3_1(a159)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(c_150,negated_conjecture,
    ( ~ c2_1(a151)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(c_151,negated_conjecture,
    ( ~ c1_1(a149)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(c_152,negated_conjecture,
    ( ~ c2_1(a149)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(c_153,negated_conjecture,
    ( ~ c0_1(a145)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a145)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c3_1(a145)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c0_1(a144)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a144)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a140)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(c_162,negated_conjecture,
    ( ~ c3_1(a136)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(c_166,negated_conjecture,
    ( ~ c0_1(a133)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(c_167,negated_conjecture,
    ( ~ c1_1(a133)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ c2_1(a133)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a131)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c3_1(a130)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c0_1(a128)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(c_172,negated_conjecture,
    ( ~ c2_1(a128)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(c_173,negated_conjecture,
    ( ~ c3_1(a128)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c1_1(a126)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c2_1(a126)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c3_1(a125)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(c_178,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp2
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(c_185,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(c_186,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp14
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

cnf(c_191,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | hskp5
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(c_193,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp3
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

cnf(c_195,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(c_196,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

cnf(c_200,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp24
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(c_202,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | hskp19
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(c_204,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | hskp25
    | hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(c_206,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | hskp18
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(c_208,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(c_209,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(c_210,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(c_211,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(c_221,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X1)
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(c_223,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

cnf(c_224,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(c_229,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(c_230,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

cnf(c_232,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X0)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

cnf(c_266,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_80,c_83,c_80,c_75,c_70]) ).

cnf(c_328,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_83,c_80,c_75,c_70,c_178]) ).

cnf(c_331,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_83,c_80,c_75,c_70,c_196]) ).

cnf(c_332,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_331]) ).

cnf(c_334,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_83,c_80,c_75,c_70,c_195]) ).

cnf(c_335,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_334]) ).

cnf(c_340,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp3
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_83,c_80,c_75,c_70,c_193]) ).

cnf(c_346,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp5
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_83,c_80,c_75,c_70,c_191]) ).

cnf(c_361,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp14
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_83,c_80,c_75,c_70,c_186]) ).

cnf(c_364,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_83,c_80,c_75,c_70,c_185]) ).

cnf(c_388,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_83,c_80,c_75,c_70,c_200]) ).

cnf(c_389,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp5 ),
    inference(renaming,[status(thm)],[c_388]) ).

cnf(c_400,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp18
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_83,c_80,c_75,c_70,c_206]) ).

cnf(c_401,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp18
    | hskp12 ),
    inference(renaming,[status(thm)],[c_400]) ).

cnf(c_406,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp25
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_83,c_80,c_75,c_70,c_204]) ).

cnf(c_407,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp25
    | hskp24 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_412,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp19
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_83,c_80,c_75,c_70,c_202]) ).

cnf(c_413,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp19
    | hskp13 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_415,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_83,c_80,c_75,c_70,c_209]) ).

cnf(c_417,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_83,c_80,c_75,c_70,c_208]) ).

cnf(c_421,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_83,c_80,c_75,c_70,c_211]) ).

cnf(c_422,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_421]) ).

cnf(c_423,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_83,c_80,c_75,c_70,c_210]) ).

cnf(c_424,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_425,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_83,c_80,c_75,c_70,c_218]) ).

cnf(c_426,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_431,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_83,c_80,c_75,c_70,c_215]) ).

cnf(c_432,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_433,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_83,c_80,c_75,c_70,c_214]) ).

cnf(c_434,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_436,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_83,c_80,c_75,c_70,c_213]) ).

cnf(c_437,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_436]) ).

cnf(c_441,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_221,c_266]) ).

cnf(c_442,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_447,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_83,c_80,c_75,c_70,c_225]) ).

cnf(c_448,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_450,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_83,c_80,c_75,c_70,c_224]) ).

cnf(c_451,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_452,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_83,c_80,c_75,c_70,c_223]) ).

cnf(c_453,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_452]) ).

cnf(c_454,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_83,c_80,c_75,c_70,c_227]) ).

cnf(c_455,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_454]) ).

cnf(c_457,negated_conjecture,
    ( ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_83,c_80,c_75,c_70,c_222]) ).

cnf(c_459,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_83,c_80,c_75,c_70,c_226]) ).

cnf(c_460,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_459]) ).

cnf(c_461,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_83,c_80,c_75,c_70,c_229]) ).

cnf(c_462,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_463,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_83,c_80,c_75,c_70,c_228]) ).

cnf(c_464,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_465,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_83,c_80,c_75,c_70,c_230]) ).

cnf(c_466,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_465]) ).

cnf(c_467,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_83,c_80,c_75,c_70,c_232]) ).

cnf(c_468,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_469,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_83,c_80,c_75,c_70,c_231]) ).

cnf(c_470,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_2967,plain,
    ( ~ c2_1(a170)
    | hskp9
    | hskp6 ),
    inference(resolution,[status(thm)],[c_82,c_142]) ).

cnf(c_2977,plain,
    ( ~ c0_1(a170)
    | hskp9
    | hskp6 ),
    inference(resolution,[status(thm)],[c_82,c_141]) ).

cnf(c_2987,plain,
    ( c3_1(a170)
    | hskp9
    | hskp6 ),
    inference(resolution,[status(thm)],[c_82,c_103]) ).

cnf(c_4200,plain,
    ( ~ c2_1(a149)
    | hskp12
    | hskp5 ),
    inference(resolution,[status(thm)],[c_84,c_152]) ).

cnf(c_4210,plain,
    ( ~ c1_1(a149)
    | hskp12
    | hskp5 ),
    inference(resolution,[status(thm)],[c_84,c_151]) ).

cnf(c_4220,plain,
    ( c3_1(a149)
    | hskp12
    | hskp5 ),
    inference(resolution,[status(thm)],[c_84,c_111]) ).

cnf(c_14440,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_470]) ).

cnf(c_14441,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_470]) ).

cnf(c_14442,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_470]) ).

cnf(c_14443,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

cnf(c_14444,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_468]) ).

cnf(c_14445,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_468]) ).

cnf(c_14446,negated_conjecture,
    ( sP0_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_14447,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_466]) ).

cnf(c_14448,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_466]) ).

cnf(c_14449,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_466]) ).

cnf(c_14450,negated_conjecture,
    ( sP5_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

cnf(c_14451,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_464]) ).

cnf(c_14452,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_464]) ).

cnf(c_14453,negated_conjecture,
    ( sP0_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_14454,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_462]) ).

cnf(c_14455,negated_conjecture,
    ( sP3_iProver_def
    | sP7_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

cnf(c_14456,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_460]) ).

cnf(c_14457,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_460]) ).

cnf(c_14458,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_460]) ).

cnf(c_14459,negated_conjecture,
    ( sP11_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

cnf(c_14460,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_457]) ).

cnf(c_14461,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_457]) ).

cnf(c_14462,negated_conjecture,
    ( sP11_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

cnf(c_14463,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_455]) ).

cnf(c_14464,negated_conjecture,
    ( hskp1
    | sP0_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

cnf(c_14465,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_453]) ).

cnf(c_14466,negated_conjecture,
    ( hskp18
    | sP16_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

cnf(c_14467,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_451]) ).

cnf(c_14469,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_448]) ).

cnf(c_14470,negated_conjecture,
    ( hskp13
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_14473,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_442]) ).

cnf(c_14474,negated_conjecture,
    ( hskp20
    | sP7_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_14478,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_437]) ).

cnf(c_14479,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_437]) ).

cnf(c_14480,negated_conjecture,
    ( hskp6
    | sP23_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

cnf(c_14481,negated_conjecture,
    ( hskp29
    | sP8_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

cnf(c_14482,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_432]) ).

cnf(c_14486,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_426]) ).

cnf(c_14488,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_424]) ).

cnf(c_14489,negated_conjecture,
    ( hskp3
    | sP3_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_14490,negated_conjecture,
    ( hskp16
    | sP8_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

cnf(c_14492,negated_conjecture,
    ( hskp9
    | sP12_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_14493,negated_conjecture,
    ( hskp27
    | sP12_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_14494,negated_conjecture,
    ( hskp19
    | hskp13
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

cnf(c_14496,negated_conjecture,
    ( hskp25
    | hskp24
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

cnf(c_14498,negated_conjecture,
    ( hskp18
    | hskp12
    | sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

cnf(c_14502,negated_conjecture,
    ( hskp24
    | hskp5
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

cnf(c_14512,negated_conjecture,
    ( hskp28
    | hskp13
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

cnf(c_14513,negated_conjecture,
    ( hskp14
    | hskp3
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).

cnf(c_14518,negated_conjecture,
    ( hskp5
    | hskp4
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_346]) ).

cnf(c_14520,negated_conjecture,
    ( hskp3
    | hskp1
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_340]) ).

cnf(c_14522,negated_conjecture,
    ( hskp2
    | hskp1
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

cnf(c_14523,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_14443]) ).

cnf(c_14527,negated_conjecture,
    ( sP0_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_14446]) ).

cnf(c_14528,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14445]) ).

cnf(c_14531,negated_conjecture,
    ( sP5_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_14450]) ).

cnf(c_14533,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP6_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14448]) ).

cnf(c_14534,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14447]) ).

cnf(c_14535,negated_conjecture,
    ( sP0_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_14453]) ).

cnf(c_14539,negated_conjecture,
    ( sP3_iProver_def
    | sP7_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_14455]) ).

cnf(c_14543,negated_conjecture,
    ( sP11_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_14459]) ).

cnf(c_14547,negated_conjecture,
    ( sP11_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_14462]) ).

cnf(c_14550,negated_conjecture,
    ( ~ sP11_iProver_def
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14456]) ).

cnf(c_14551,negated_conjecture,
    ( hskp1
    | sP0_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14464]) ).

cnf(c_14554,negated_conjecture,
    ( hskp18
    | sP16_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_14466]) ).

cnf(c_14560,negated_conjecture,
    ( hskp13
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_14470]) ).

cnf(c_14562,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP19_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14469]) ).

cnf(c_14568,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP15_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14461]) ).

cnf(c_14569,negated_conjecture,
    ( hskp20
    | sP7_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_14474]) ).

cnf(c_14570,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP20_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14473]) ).

cnf(c_14575,negated_conjecture,
    ( hskp6
    | sP23_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_14480]) ).

cnf(c_14576,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14479]) ).

cnf(c_14578,negated_conjecture,
    ( hskp29
    | sP8_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_14481]) ).

cnf(c_14579,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP17_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14465]) ).

cnf(c_14583,negated_conjecture,
    ( ~ sP9_iProver_def
    | c1_1(X0)
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14452]) ).

cnf(c_14593,negated_conjecture,
    ( hskp3
    | sP3_iProver_def
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14489]) ).

cnf(c_14596,negated_conjecture,
    ( hskp16
    | sP8_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_14490]) ).

cnf(c_14602,negated_conjecture,
    ( hskp9
    | sP12_iProver_def
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14492]) ).

cnf(c_14605,negated_conjecture,
    ( hskp27
    | sP12_iProver_def
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14493]) ).

cnf(c_14607,negated_conjecture,
    ( ~ sP12_iProver_def
    | c0_1(X0)
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14457]) ).

cnf(c_14608,negated_conjecture,
    ( hskp19
    | hskp13
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_14494]) ).

cnf(c_14609,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_14467]) ).

cnf(c_14612,negated_conjecture,
    ( hskp25
    | hskp24
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_14496]) ).

cnf(c_14613,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_14482]) ).

cnf(c_14615,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14463]) ).

cnf(c_14616,negated_conjecture,
    ( hskp18
    | hskp12
    | sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_14498]) ).

cnf(c_14617,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_14440]) ).

cnf(c_14621,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14458]) ).

cnf(c_14624,negated_conjecture,
    ( hskp24
    | hskp5
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_14502]) ).

cnf(c_14625,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14442]) ).

cnf(c_14627,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14449]) ).

cnf(c_14640,negated_conjecture,
    ( hskp28
    | hskp13
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14512]) ).

cnf(c_14642,negated_conjecture,
    ( hskp14
    | hskp3
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14513]) ).

cnf(c_14643,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP27_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14488]) ).

cnf(c_14645,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP23_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14478]) ).

cnf(c_14651,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP8_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14451]) ).

cnf(c_14652,negated_conjecture,
    ( hskp5
    | hskp4
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_14518]) ).

cnf(c_14653,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP1_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14441]) ).

cnf(c_14655,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP3_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14444]) ).

cnf(c_14656,negated_conjecture,
    ( hskp3
    | hskp1
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_14520]) ).

cnf(c_14657,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP26_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14486]) ).

cnf(c_14659,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14454]) ).

cnf(c_14660,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_335]) ).

cnf(c_14661,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_332]) ).

cnf(c_14662,negated_conjecture,
    ( hskp2
    | hskp1
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_14522]) ).

cnf(c_14663,negated_conjecture,
    ( ~ sP14_iProver_def
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14460]) ).

cnf(c_14793,plain,
    ( ~ c3_1(a133)
    | ~ sP6_iProver_def
    | c1_1(a133)
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_14533]) ).

cnf(c_14802,plain,
    ( ~ sP11_iProver_def
    | c0_1(a133)
    | c1_1(a133)
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_14550]) ).

cnf(c_14804,plain,
    ( ~ sP11_iProver_def
    | c0_1(a128)
    | c1_1(a128)
    | c2_1(a128) ),
    inference(instantiation,[status(thm)],[c_14550]) ).

cnf(c_14806,plain,
    ( ~ c1_1(a150)
    | ~ c2_1(a150)
    | ~ c3_1(a150)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14617]) ).

cnf(c_14807,plain,
    ( ~ c1_1(a137)
    | ~ c2_1(a137)
    | ~ c3_1(a137)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14617]) ).

cnf(c_14815,plain,
    ( ~ c2_1(a192)
    | ~ sP3_iProver_def
    | c1_1(a192)
    | c3_1(a192) ),
    inference(instantiation,[status(thm)],[c_14655]) ).

cnf(c_14818,plain,
    ( ~ c2_1(a144)
    | ~ sP3_iProver_def
    | c1_1(a144)
    | c3_1(a144) ),
    inference(instantiation,[status(thm)],[c_14655]) ).

cnf(c_14819,plain,
    ( ~ c2_1(a136)
    | ~ sP3_iProver_def
    | c1_1(a136)
    | c3_1(a136) ),
    inference(instantiation,[status(thm)],[c_14655]) ).

cnf(c_14832,plain,
    ( ~ c0_1(a125)
    | ~ c1_1(a125)
    | c2_1(a125)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_14660]) ).

cnf(c_14840,plain,
    ( ~ c0_1(a130)
    | ~ c1_1(a130)
    | c3_1(a130)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_14661]) ).

cnf(c_14841,plain,
    ( ~ c0_1(a125)
    | ~ c1_1(a125)
    | c3_1(a125)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_14661]) ).

cnf(c_14857,plain,
    ( ~ c2_1(a145)
    | ~ sP3_iProver_def
    | c1_1(a145)
    | c3_1(a145) ),
    inference(instantiation,[status(thm)],[c_14655]) ).

cnf(c_14869,plain,
    ( ~ c1_1(a144)
    | ~ sP23_iProver_def
    | c0_1(a144)
    | c3_1(a144) ),
    inference(instantiation,[status(thm)],[c_14645]) ).

cnf(c_14872,plain,
    ( ~ c1_1(a130)
    | ~ sP23_iProver_def
    | c0_1(a130)
    | c3_1(a130) ),
    inference(instantiation,[status(thm)],[c_14645]) ).

cnf(c_14883,plain,
    ( ~ c2_1(a144)
    | ~ sP8_iProver_def
    | c0_1(a144)
    | c3_1(a144) ),
    inference(instantiation,[status(thm)],[c_14651]) ).

cnf(c_14886,plain,
    ( ~ c2_1(a130)
    | ~ sP8_iProver_def
    | c0_1(a130)
    | c3_1(a130) ),
    inference(instantiation,[status(thm)],[c_14651]) ).

cnf(c_14894,plain,
    ( ~ c0_1(a159)
    | ~ sP1_iProver_def
    | c1_1(a159)
    | c3_1(a159) ),
    inference(instantiation,[status(thm)],[c_14653]) ).

cnf(c_14897,plain,
    ( ~ c0_1(a136)
    | ~ sP1_iProver_def
    | c1_1(a136)
    | c3_1(a136) ),
    inference(instantiation,[status(thm)],[c_14653]) ).

cnf(c_14903,plain,
    ( ~ c0_1(a150)
    | ~ c1_1(a150)
    | ~ c3_1(a150)
    | ~ sP25_iProver_def ),
    inference(instantiation,[status(thm)],[c_14613]) ).

cnf(c_14921,plain,
    ( ~ c0_1(a136)
    | ~ c1_1(a136)
    | c3_1(a136)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_14661]) ).

cnf(c_14932,plain,
    ( ~ c3_1(a149)
    | ~ sP6_iProver_def
    | c1_1(a149)
    | c2_1(a149) ),
    inference(instantiation,[status(thm)],[c_14533]) ).

cnf(c_14935,plain,
    ( ~ c1_1(a140)
    | ~ c2_1(a140)
    | ~ c3_1(a140)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14617]) ).

cnf(c_14947,plain,
    ( ~ c2_1(a137)
    | ~ c3_1(a137)
    | ~ sP5_iProver_def
    | c0_1(a137) ),
    inference(instantiation,[status(thm)],[c_14534]) ).

cnf(c_14953,plain,
    ( ~ c0_1(a143)
    | ~ c1_1(a143)
    | ~ c2_1(a143)
    | ~ sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_14609]) ).

cnf(c_14956,plain,
    ( ~ c0_1(a136)
    | ~ c1_1(a136)
    | ~ c2_1(a136)
    | ~ sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_14609]) ).

cnf(c_14958,plain,
    ( ~ c0_1(a130)
    | ~ c1_1(a130)
    | ~ c2_1(a130)
    | ~ sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_14609]) ).

cnf(c_14994,plain,
    ( ~ c0_1(a162)
    | ~ c3_1(a162)
    | ~ sP2_iProver_def
    | c2_1(a162) ),
    inference(instantiation,[status(thm)],[c_14625]) ).

cnf(c_15030,plain,
    ( ~ c0_1(a149)
    | ~ c3_1(a149)
    | ~ sP2_iProver_def
    | c2_1(a149) ),
    inference(instantiation,[status(thm)],[c_14625]) ).

cnf(c_15036,plain,
    ( ~ c1_1(a128)
    | ~ sP23_iProver_def
    | c0_1(a128)
    | c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_14645]) ).

cnf(c_15053,plain,
    ( ~ sP12_iProver_def
    | c0_1(a128)
    | c2_1(a128)
    | c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_14607]) ).

cnf(c_15077,plain,
    ( ~ c0_1(a143)
    | ~ c2_1(a143)
    | ~ c3_1(a143)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_14615]) ).

cnf(c_15115,plain,
    ( ~ c3_1(a170)
    | ~ sP27_iProver_def
    | c0_1(a170)
    | c2_1(a170) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

cnf(c_15116,plain,
    ( ~ c3_1(a168)
    | ~ sP27_iProver_def
    | c0_1(a168)
    | c2_1(a168) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

cnf(c_15117,plain,
    ( ~ c3_1(a140)
    | ~ sP27_iProver_def
    | c0_1(a140)
    | c2_1(a140) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

cnf(c_15134,plain,
    ( ~ sP9_iProver_def
    | c1_1(a183)
    | c2_1(a183)
    | c3_1(a183) ),
    inference(instantiation,[status(thm)],[c_14583]) ).

cnf(c_15135,plain,
    ( ~ sP9_iProver_def
    | c1_1(a159)
    | c2_1(a159)
    | c3_1(a159) ),
    inference(instantiation,[status(thm)],[c_14583]) ).

cnf(c_15144,plain,
    ( ~ c2_1(a140)
    | ~ c3_1(a140)
    | ~ sP5_iProver_def
    | c0_1(a140) ),
    inference(instantiation,[status(thm)],[c_14534]) ).

cnf(c_15150,plain,
    ( ~ c0_1(a136)
    | ~ c1_1(a136)
    | ~ sP19_iProver_def
    | c3_1(a136) ),
    inference(instantiation,[status(thm)],[c_14562]) ).

cnf(c_15151,plain,
    ( ~ c0_1(a125)
    | ~ c1_1(a125)
    | ~ sP19_iProver_def
    | c3_1(a125) ),
    inference(instantiation,[status(thm)],[c_14562]) ).

cnf(c_15157,plain,
    ( ~ c0_1(a149)
    | ~ sP15_iProver_def
    | c1_1(a149)
    | c2_1(a149) ),
    inference(instantiation,[status(thm)],[c_14568]) ).

cnf(c_15161,plain,
    ( ~ c0_1(a126)
    | ~ sP15_iProver_def
    | c1_1(a126)
    | c2_1(a126) ),
    inference(instantiation,[status(thm)],[c_14568]) ).

cnf(c_15167,plain,
    ( ~ c0_1(a183)
    | ~ sP1_iProver_def
    | c1_1(a183)
    | c3_1(a183) ),
    inference(instantiation,[status(thm)],[c_14653]) ).

cnf(c_15197,plain,
    ( ~ c0_1(a149)
    | ~ c3_1(a149)
    | ~ sP13_iProver_def
    | c1_1(a149) ),
    inference(instantiation,[status(thm)],[c_14621]) ).

cnf(c_15206,plain,
    ( ~ c0_1(a143)
    | ~ c3_1(a143)
    | ~ sP13_iProver_def
    | c1_1(a143) ),
    inference(instantiation,[status(thm)],[c_14621]) ).

cnf(c_15238,plain,
    ( ~ c0_1(a137)
    | ~ c2_1(a137)
    | ~ c3_1(a137)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_14615]) ).

cnf(c_15246,plain,
    ( ~ c1_1(a140)
    | ~ c3_1(a140)
    | ~ sP7_iProver_def
    | c2_1(a140) ),
    inference(instantiation,[status(thm)],[c_14627]) ).

cnf(c_15248,plain,
    ( ~ c1_1(a131)
    | ~ c3_1(a131)
    | ~ sP7_iProver_def
    | c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_14627]) ).

cnf(c_15256,plain,
    ( ~ c1_1(a140)
    | ~ c3_1(a140)
    | ~ sP24_iProver_def
    | c0_1(a140) ),
    inference(instantiation,[status(thm)],[c_14576]) ).

cnf(c_15269,plain,
    ( ~ c1_1(a144)
    | ~ c2_1(a144)
    | ~ sP17_iProver_def
    | c0_1(a144) ),
    inference(instantiation,[status(thm)],[c_14579]) ).

cnf(c_15270,plain,
    ( ~ c1_1(a140)
    | ~ c2_1(a140)
    | ~ sP17_iProver_def
    | c0_1(a140) ),
    inference(instantiation,[status(thm)],[c_14579]) ).

cnf(c_15273,plain,
    ( ~ c1_1(a130)
    | ~ c2_1(a130)
    | ~ sP17_iProver_def
    | c0_1(a130) ),
    inference(instantiation,[status(thm)],[c_14579]) ).

cnf(c_15278,plain,
    ( ~ c0_1(a131)
    | ~ c3_1(a131)
    | ~ sP2_iProver_def
    | c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_14625]) ).

cnf(c_15290,plain,
    ( ~ c1_1(a168)
    | ~ sP10_iProver_def
    | c2_1(a168)
    | c3_1(a168) ),
    inference(instantiation,[status(thm)],[c_14659]) ).

cnf(c_15295,plain,
    ( ~ c1_1(a128)
    | ~ sP10_iProver_def
    | c2_1(a128)
    | c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_14659]) ).

cnf(c_15318,plain,
    ( ~ c1_1(a131)
    | ~ c3_1(a131)
    | ~ sP24_iProver_def
    | c0_1(a131) ),
    inference(instantiation,[status(thm)],[c_14576]) ).

cnf(c_15320,plain,
    ( ~ c3_1(a131)
    | ~ sP27_iProver_def
    | c0_1(a131)
    | c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

cnf(c_15417,plain,
    ( ~ c3_1(a149)
    | ~ sP27_iProver_def
    | c0_1(a149)
    | c2_1(a149) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

cnf(c_15421,plain,
    ( ~ sP14_iProver_def
    | c0_1(a183)
    | c1_1(a183)
    | c3_1(a183) ),
    inference(instantiation,[status(thm)],[c_14663]) ).

cnf(c_15426,plain,
    ( ~ sP14_iProver_def
    | c0_1(a133)
    | c1_1(a133)
    | c3_1(a133) ),
    inference(instantiation,[status(thm)],[c_14663]) ).

cnf(c_15428,plain,
    ( ~ sP9_iProver_def
    | c1_1(a133)
    | c2_1(a133)
    | c3_1(a133) ),
    inference(instantiation,[status(thm)],[c_14583]) ).

cnf(c_15434,plain,
    ( ~ c3_1(a133)
    | ~ sP27_iProver_def
    | c0_1(a133)
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

cnf(c_15476,plain,
    ( ~ sP9_iProver_def
    | c1_1(a145)
    | c2_1(a145)
    | c3_1(a145) ),
    inference(instantiation,[status(thm)],[c_14583]) ).

cnf(c_15485,plain,
    ( ~ sP12_iProver_def
    | c0_1(a145)
    | c2_1(a145)
    | c3_1(a145) ),
    inference(instantiation,[status(thm)],[c_14607]) ).

cnf(c_15488,plain,
    ( ~ c1_1(a150)
    | ~ c3_1(a150)
    | ~ sP7_iProver_def
    | c2_1(a150) ),
    inference(instantiation,[status(thm)],[c_14627]) ).

cnf(c_15489,plain,
    ( ~ c0_1(a150)
    | ~ c2_1(a150)
    | ~ c3_1(a150)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_14615]) ).

cnf(c_15535,plain,
    ( ~ c1_1(a137)
    | ~ c2_1(a137)
    | ~ sP17_iProver_def
    | c0_1(a137) ),
    inference(instantiation,[status(thm)],[c_14579]) ).

cnf(c_15536,plain,
    ( ~ c1_1(a137)
    | ~ c3_1(a137)
    | ~ sP24_iProver_def
    | c0_1(a137) ),
    inference(instantiation,[status(thm)],[c_14576]) ).

cnf(c_15712,plain,
    ( ~ c0_1(a150)
    | ~ c1_1(a150)
    | ~ sP4_iProver_def
    | c2_1(a150) ),
    inference(instantiation,[status(thm)],[c_14528]) ).

cnf(c_15715,plain,
    ( ~ c0_1(a159)
    | ~ c1_1(a159)
    | ~ sP4_iProver_def
    | c2_1(a159) ),
    inference(instantiation,[status(thm)],[c_14528]) ).

cnf(c_15716,plain,
    ( ~ c0_1(a151)
    | ~ c1_1(a151)
    | ~ sP4_iProver_def
    | c2_1(a151) ),
    inference(instantiation,[status(thm)],[c_14528]) ).

cnf(c_15720,plain,
    ( ~ c0_1(a125)
    | ~ c1_1(a125)
    | ~ sP4_iProver_def
    | c2_1(a125) ),
    inference(instantiation,[status(thm)],[c_14528]) ).

cnf(c_15733,plain,
    ( ~ sP9_iProver_def
    | c1_1(a128)
    | c2_1(a128)
    | c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_14583]) ).

cnf(c_15755,plain,
    ( ~ sP14_iProver_def
    | c0_1(a128)
    | c1_1(a128)
    | c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_14663]) ).

cnf(c_15862,plain,
    ( ~ c0_1(a125)
    | ~ c1_1(a125)
    | ~ c2_1(a125)
    | ~ sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_14609]) ).

cnf(c_15949,plain,
    ( ~ c0_1(a159)
    | ~ sP26_iProver_def
    | c2_1(a159)
    | c3_1(a159) ),
    inference(instantiation,[status(thm)],[c_14657]) ).

cnf(c_15978,plain,
    ( ~ c0_1(a159)
    | ~ c1_1(a159)
    | c3_1(a159)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_14661]) ).

cnf(c_16179,plain,
    ( ~ c0_1(a136)
    | ~ c2_1(a136)
    | ~ sP20_iProver_def
    | c1_1(a136) ),
    inference(instantiation,[status(thm)],[c_14570]) ).

cnf(c_16376,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16179,c_15978,c_15949,c_15862,c_15755,c_15733,c_15720,c_15716,c_15715,c_15712,c_15535,c_15536,c_15488,c_15489,c_15485,c_15476,c_15434,c_15426,c_15428,c_15421,c_15417,c_15318,c_15320,c_15295,c_15290,c_15278,c_15273,c_15270,c_15269,c_15256,c_15248,c_15246,c_15238,c_15206,c_15197,c_15167,c_15161,c_15157,c_15151,c_15150,c_15144,c_15135,c_15134,c_15117,c_15116,c_15115,c_15077,c_15053,c_15036,c_15030,c_14994,c_14958,c_14956,c_14953,c_14947,c_14935,c_14932,c_14921,c_14903,c_14897,c_14894,c_14886,c_14883,c_14872,c_14869,c_14857,c_14841,c_14840,c_14832,c_14819,c_14818,c_14815,c_14807,c_14806,c_14804,c_14802,c_14793,c_14662,c_14656,c_14652,c_14642,c_14640,c_14624,c_14616,c_14612,c_14608,c_14605,c_14602,c_14596,c_14593,c_14578,c_14575,c_14569,c_14560,c_14554,c_14551,c_14547,c_14543,c_14539,c_14535,c_14531,c_14527,c_14523,c_4220,c_4210,c_4200,c_2987,c_2977,c_2967,c_134,c_135,c_136,c_137,c_138,c_143,c_144,c_145,c_146,c_147,c_150,c_151,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_162,c_166,c_167,c_168,c_169,c_170,c_171,c_172,c_173,c_174,c_175,c_176,c_88,c_89,c_90,c_91,c_92,c_93,c_94,c_95,c_96,c_98,c_104,c_105,c_106,c_107,c_109,c_110,c_111,c_112,c_113,c_114,c_118,c_119,c_123,c_124,c_125,c_126,c_127,c_128,c_129,c_84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN442-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 20:44:58 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  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
% 4.07/1.16  % SZS status Started for theBenchmark.p
% 4.07/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.16  
% 4.07/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.07/1.16  
% 4.07/1.16  ------  iProver source info
% 4.07/1.16  
% 4.07/1.16  git: date: 2024-05-02 19:28:25 +0000
% 4.07/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.07/1.16  git: non_committed_changes: false
% 4.07/1.16  
% 4.07/1.16  ------ Parsing...successful
% 4.07/1.16  
% 4.07/1.16  ------  preprocesses with Option_epr_non_horn_non_eq
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.07/1.16  
% 4.07/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 4.07/1.16   gs_s  sp: 86 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.07/1.16  ------ Proving...
% 4.07/1.16  ------ Problem Properties 
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  clauses                                 182
% 4.07/1.16  conjectures                             179
% 4.07/1.16  EPR                                     182
% 4.07/1.16  Horn                                    104
% 4.07/1.16  unary                                   0
% 4.07/1.16  binary                                  91
% 4.07/1.16  lits                                    487
% 4.07/1.16  lits eq                                 0
% 4.07/1.16  fd_pure                                 0
% 4.07/1.16  fd_pseudo                               0
% 4.07/1.16  fd_cond                                 0
% 4.07/1.16  fd_pseudo_cond                          0
% 4.07/1.16  AC symbols                              0
% 4.07/1.16  
% 4.07/1.16  ------ Schedule EPR non Horn non eq is on
% 4.07/1.16  
% 4.07/1.16  ------ no equalities: superposition off 
% 4.07/1.16  
% 4.07/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  ------ 
% 4.07/1.16  Current options:
% 4.07/1.16  ------ 
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  ------ Proving...
% 4.07/1.16  
% 4.07/1.16  
% 4.07/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.16  
% 4.07/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.17  
% 4.07/1.17  
%------------------------------------------------------------------------------