TSTP Solution File: SYN466-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN466-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 Sep  1 03:07:32 EDT 2023

% Result   : Unsatisfiable 3.59s 1.16s
% Output   : CNFRefutation 3.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  116
% Syntax   : Number of clauses     :  339 (   2 unt; 215 nHn; 310 RR)
%            Number of literals    : 1502 (   0 equ; 750 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    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  244 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( hskp25
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(c_55,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

cnf(c_74,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

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

cnf(c_82,negated_conjecture,
    ( hskp31
    | hskp30
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_83,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(c_86,negated_conjecture,
    ( hskp26
    | hskp7
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( hskp26
    | hskp11
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp31
    | c0_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(c_90,negated_conjecture,
    ( ~ hskp31
    | c1_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp31
    | c3_1(a141) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp30
    | c0_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp30
    | c3_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp29
    | c0_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp29
    | c1_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp29
    | c2_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp28
    | c1_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp28
    | c2_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp28
    | c3_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp26
    | c0_1(a187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp25
    | c1_1(a167) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp20
    | c0_1(a139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp19
    | c0_1(a135) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp17
    | c3_1(a132) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp16
    | c1_1(a126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp16
    | c3_1(a126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp15
    | c0_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp15
    | c3_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp13
    | c1_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp13
    | c2_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp11
    | c1_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp8
    | c1_1(a109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp7
    | c1_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp7
    | c3_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp6
    | c1_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp6
    | c2_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp5
    | c0_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp5
    | c1_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp4
    | c2_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp4
    | c3_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp2
    | c0_1(a103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp1
    | c2_1(a102) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp0
    | c2_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp0
    | c3_1(a101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(c_139,negated_conjecture,
    ( ~ c1_1(a187)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(c_140,negated_conjecture,
    ( ~ c2_1(a187)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(c_141,negated_conjecture,
    ( ~ c0_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c1_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c2_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a163)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(c_149,negated_conjecture,
    ( ~ c0_1(a145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(c_151,negated_conjecture,
    ( ~ c2_1(a145)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c3_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c2_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(c_159,negated_conjecture,
    ( ~ c0_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(c_160,negated_conjecture,
    ( ~ c1_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a117)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(c_164,negated_conjecture,
    ( ~ c3_1(a114)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(c_167,negated_conjecture,
    ( ~ c2_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ c3_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c0_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c2_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c3_1(a111)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(c_174,negated_conjecture,
    ( ~ c0_1(a109)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c3_1(a109)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c0_1(a108)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c0_1(a107)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

cnf(c_179,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a103)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(c_182,negated_conjecture,
    ( ~ c0_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(c_183,negated_conjecture,
    ( ~ c1_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

cnf(c_184,negated_conjecture,
    ( ~ c0_1(a101)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(c_185,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(c_187,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(c_189,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(c_190,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(c_191,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp15
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(c_192,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp15
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp29
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(c_199,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp31
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(c_200,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp28
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(c_201,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp28
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(c_205,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp24
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | hskp19
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

cnf(c_212,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(c_215,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(c_216,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

cnf(c_220,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(c_222,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(c_224,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X0)
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(c_230,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X0)
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

cnf(c_233,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

cnf(c_234,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

cnf(c_236,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

cnf(c_237,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

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

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

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

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

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

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

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

cnf(c_276,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_81,c_86,c_81,c_74,c_55]) ).

cnf(c_340,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_86,c_81,c_74,c_55,c_185]) ).

cnf(c_343,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_86,c_81,c_74,c_55,c_189]) ).

cnf(c_349,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_86,c_81,c_74,c_55,c_187]) ).

cnf(c_364,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp15
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_86,c_81,c_74,c_55,c_192]) ).

cnf(c_367,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp15
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_86,c_81,c_74,c_55,c_191]) ).

cnf(c_370,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_86,c_81,c_74,c_55,c_190]) ).

cnf(c_382,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_86,c_81,c_74,c_55,c_205]) ).

cnf(c_383,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp1 ),
    inference(renaming,[status(thm)],[c_382]) ).

cnf(c_394,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp28
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_86,c_81,c_74,c_55,c_201]) ).

cnf(c_395,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp28
    | hskp11 ),
    inference(renaming,[status(thm)],[c_394]) ).

cnf(c_397,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp28
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_86,c_81,c_74,c_55,c_200]) ).

cnf(c_398,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp28
    | hskp15 ),
    inference(renaming,[status(thm)],[c_397]) ).

cnf(c_400,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp31
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_86,c_81,c_74,c_55,c_199]) ).

cnf(c_401,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp31
    | hskp28 ),
    inference(renaming,[status(thm)],[c_400]) ).

cnf(c_406,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp29
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_86,c_81,c_74,c_55,c_197]) ).

cnf(c_407,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp29
    | hskp11 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_415,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | hskp19
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_86,c_81,c_74,c_55,c_209]) ).

cnf(c_416,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | hskp19
    | hskp11 ),
    inference(renaming,[status(thm)],[c_415]) ).

cnf(c_426,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_86,c_81,c_74,c_55,c_216]) ).

cnf(c_427,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_428,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_86,c_81,c_74,c_55,c_215]) ).

cnf(c_429,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | c0_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_86,c_81,c_74,c_55,c_214]) ).

cnf(c_431,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_86,c_81,c_74,c_55,c_213]) ).

cnf(c_433,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_434,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_86,c_81,c_74,c_55,c_212]) ).

cnf(c_435,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_438,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_86,c_81,c_74,c_55,c_222]) ).

cnf(c_439,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_442,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_86,c_81,c_74,c_55,c_220]) ).

cnf(c_443,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_448,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_86,c_81,c_74,c_55,c_231]) ).

cnf(c_449,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_450,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_86,c_81,c_74,c_55,c_230]) ).

cnf(c_451,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_456,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_86,c_81,c_74,c_55,c_228]) ).

cnf(c_457,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_459,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_86,c_81,c_74,c_55,c_227]) ).

cnf(c_460,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_459]) ).

cnf(c_461,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_86,c_81,c_74,c_55,c_226]) ).

cnf(c_462,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_463,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_86,c_81,c_74,c_55,c_225]) ).

cnf(c_464,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_465,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_86,c_81,c_74,c_55,c_224]) ).

cnf(c_466,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_465]) ).

cnf(c_467,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_86,c_81,c_74,c_55,c_234]) ).

cnf(c_468,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c2_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_469,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | hskp31 ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_86,c_81,c_74,c_55,c_233]) ).

cnf(c_470,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X1)
    | hskp31 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_471,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_86,c_81,c_74,c_55,c_235]) ).

cnf(c_472,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_86,c_81,c_74,c_55,c_240]) ).

cnf(c_474,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_475,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_239,c_276]) ).

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

cnf(c_477,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_86,c_81,c_74,c_55,c_238]) ).

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

cnf(c_479,plain,
    ( ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_86,c_81,c_74,c_55,c_237]) ).

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

cnf(c_481,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_86,c_81,c_74,c_55,c_236]) ).

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

cnf(c_483,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_86,c_81,c_74,c_55,c_241]) ).

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

cnf(c_485,plain,
    ( ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_86,c_81,c_74,c_55,c_243]) ).

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

cnf(c_487,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_86,c_81,c_74,c_55,c_242]) ).

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

cnf(c_489,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_86,c_81,c_74,c_55,c_244]) ).

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

cnf(c_1932,plain,
    ( ~ c2_1(a187)
    | hskp11
    | hskp4 ),
    inference(resolution,[status(thm)],[c_87,c_140]) ).

cnf(c_1942,plain,
    ( ~ c1_1(a187)
    | hskp11
    | hskp4 ),
    inference(resolution,[status(thm)],[c_87,c_139]) ).

cnf(c_1952,plain,
    ( c0_1(a187)
    | hskp11
    | hskp4 ),
    inference(resolution,[status(thm)],[c_87,c_102]) ).

cnf(c_1962,plain,
    ( ~ c2_1(a187)
    | hskp7
    | hskp0 ),
    inference(resolution,[status(thm)],[c_86,c_140]) ).

cnf(c_1972,plain,
    ( ~ c1_1(a187)
    | hskp7
    | hskp0 ),
    inference(resolution,[status(thm)],[c_86,c_139]) ).

cnf(c_1982,plain,
    ( c0_1(a187)
    | hskp7
    | hskp0 ),
    inference(resolution,[status(thm)],[c_86,c_102]) ).

cnf(c_2532,plain,
    ( c3_1(a131)
    | hskp31
    | hskp24 ),
    inference(resolution,[status(thm)],[c_82,c_94]) ).

cnf(c_2552,plain,
    ( c0_1(a131)
    | hskp31
    | hskp24 ),
    inference(resolution,[status(thm)],[c_82,c_92]) ).

cnf(c_2847,plain,
    ( ~ c2_1(a106)
    | hskp15
    | hskp13 ),
    inference(resolution,[status(thm)],[c_83,c_178]) ).

cnf(c_2857,plain,
    ( c1_1(a106)
    | hskp15
    | hskp13 ),
    inference(resolution,[status(thm)],[c_83,c_127]) ).

cnf(c_2867,plain,
    ( c0_1(a106)
    | hskp15
    | hskp13 ),
    inference(resolution,[status(thm)],[c_83,c_126]) ).

cnf(c_3597,plain,
    ( ~ c3_1(a114)
    | hskp15
    | hskp5 ),
    inference(resolution,[status(thm)],[c_83,c_164]) ).

cnf(c_3607,plain,
    ( c2_1(a114)
    | hskp15
    | hskp5 ),
    inference(resolution,[status(thm)],[c_83,c_117]) ).

cnf(c_3617,plain,
    ( c1_1(a114)
    | hskp15
    | hskp5 ),
    inference(resolution,[status(thm)],[c_83,c_116]) ).

cnf(c_4281,plain,
    ( ~ c3_1(a109)
    | hskp25 ),
    inference(resolution,[status(thm)],[c_49,c_175]) ).

cnf(c_4288,plain,
    ( ~ c0_1(a109)
    | hskp25 ),
    inference(resolution,[status(thm)],[c_49,c_174]) ).

cnf(c_4295,plain,
    ( c1_1(a109)
    | hskp25 ),
    inference(resolution,[status(thm)],[c_49,c_121]) ).

cnf(c_15502,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_490]) ).

cnf(c_15503,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_490]) ).

cnf(c_15504,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_490]) ).

cnf(c_15505,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

cnf(c_15506,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_488]) ).

cnf(c_15507,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_488]) ).

cnf(c_15508,negated_conjecture,
    ( sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_15509,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_486]) ).

cnf(c_15510,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_486]) ).

cnf(c_15513,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_484]) ).

cnf(c_15514,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_484]) ).

cnf(c_15515,negated_conjecture,
    ( sP1_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_15516,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_482]) ).

cnf(c_15517,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_482]) ).

cnf(c_15518,negated_conjecture,
    ( sP0_iProver_split
    | sP10_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_15519,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_480]) ).

cnf(c_15520,negated_conjecture,
    ( sP1_iProver_split
    | sP6_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_15521,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_478]) ).

cnf(c_15522,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_478]) ).

cnf(c_15523,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_478]) ).

cnf(c_15524,negated_conjecture,
    ( sP13_iProver_split
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_15525,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_476]) ).

cnf(c_15526,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_476]) ).

cnf(c_15527,negated_conjecture,
    ( sP13_iProver_split
    | sP16_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_15528,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_474]) ).

cnf(c_15529,negated_conjecture,
    ( sP0_iProver_split
    | sP17_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_15530,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_472]) ).

cnf(c_15531,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_472]) ).

cnf(c_15532,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_472]) ).

cnf(c_15533,negated_conjecture,
    ( sP19_iProver_split
    | sP20_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_15534,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_470]) ).

cnf(c_15536,negated_conjecture,
    ( hskp1
    | sP2_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_15537,negated_conjecture,
    ( hskp10
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

cnf(c_15538,negated_conjecture,
    ( hskp8
    | sP9_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_15539,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_462]) ).

cnf(c_15540,negated_conjecture,
    ( hskp10
    | sP21_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

cnf(c_15541,negated_conjecture,
    ( hskp7
    | sP12_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

cnf(c_15542,negated_conjecture,
    ( hskp20
    | sP5_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

cnf(c_15544,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_451]) ).

cnf(c_15545,negated_conjecture,
    ( hskp17
    | sP15_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_15546,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_449]) ).

cnf(c_15547,negated_conjecture,
    ( hskp22
    | sP15_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_15550,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_443]) ).

cnf(c_15551,negated_conjecture,
    ( hskp13
    | sP9_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_15553,negated_conjecture,
    ( hskp17
    | sP6_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

cnf(c_15555,negated_conjecture,
    ( hskp1
    | sP11_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

cnf(c_15556,negated_conjecture,
    ( hskp2
    | sP4_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_15557,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_431]) ).

cnf(c_15558,negated_conjecture,
    ( hskp11
    | sP1_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_15559,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_429]) ).

cnf(c_15560,negated_conjecture,
    ( hskp6
    | sP14_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_15561,negated_conjecture,
    ( hskp16
    | sP18_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_15566,negated_conjecture,
    ( hskp19
    | hskp11
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

cnf(c_15570,negated_conjecture,
    ( hskp29
    | hskp11
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

cnf(c_15572,negated_conjecture,
    ( hskp31
    | hskp28
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

cnf(c_15573,negated_conjecture,
    ( hskp28
    | hskp15
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

cnf(c_15574,negated_conjecture,
    ( hskp28
    | hskp11
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

cnf(c_15578,negated_conjecture,
    ( hskp24
    | hskp1
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_15582,negated_conjecture,
    ( hskp28
    | hskp15
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_370]) ).

cnf(c_15583,negated_conjecture,
    ( hskp15
    | hskp10
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

cnf(c_15584,negated_conjecture,
    ( hskp15
    | hskp0
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

cnf(c_15589,negated_conjecture,
    ( hskp7
    | hskp6
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

cnf(c_15595,plain,
    ( ~ c3_1(a101)
    | ~ sP1_iProver_split
    | c0_1(a101)
    | c1_1(a101) ),
    inference(instantiation,[status(thm)],[c_15503]) ).

cnf(c_15614,plain,
    ( ~ c3_1(a101)
    | ~ c2_1(a101)
    | ~ sP23_iProver_split
    | c0_1(a101) ),
    inference(instantiation,[status(thm)],[c_15539]) ).

cnf(c_15618,plain,
    ( ~ c1_1(a101)
    | ~ c3_1(a101)
    | ~ c2_1(a101)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15502]) ).

cnf(c_15624,plain,
    ( ~ c1_1(a109)
    | c3_1(a109)
    | c2_1(a109)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_343]) ).

cnf(c_15627,plain,
    ( ~ c1_1(a106)
    | c3_1(a106)
    | c2_1(a106)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_343]) ).

cnf(c_15630,plain,
    ( ~ c1_1(a107)
    | ~ c3_1(a107)
    | ~ c2_1(a107)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15502]) ).

cnf(c_15636,plain,
    ( ~ c3_1(a105)
    | ~ sP1_iProver_split
    | c0_1(a105)
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_15503]) ).

cnf(c_15639,plain,
    ( ~ c0_1(a105)
    | ~ c3_1(a105)
    | ~ c2_1(a105)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15504]) ).

cnf(c_15645,plain,
    ( ~ c0_1(a106)
    | ~ c1_1(a106)
    | ~ sP6_iProver_split
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_15510]) ).

cnf(c_15648,plain,
    ( ~ c1_1(a114)
    | ~ sP13_iProver_split
    | c0_1(a114)
    | c3_1(a114) ),
    inference(instantiation,[status(thm)],[c_15521]) ).

cnf(c_15649,plain,
    ( ~ c1_1(a109)
    | ~ sP13_iProver_split
    | c0_1(a109)
    | c3_1(a109) ),
    inference(instantiation,[status(thm)],[c_15521]) ).

cnf(c_15651,plain,
    ( ~ c1_1(a107)
    | ~ sP13_iProver_split
    | c0_1(a107)
    | c3_1(a107) ),
    inference(instantiation,[status(thm)],[c_15521]) ).

cnf(c_15655,plain,
    ( ~ c0_1(a117)
    | ~ c3_1(a117)
    | ~ sP15_iProver_split
    | c1_1(a117) ),
    inference(instantiation,[status(thm)],[c_15523]) ).

cnf(c_15658,plain,
    ( ~ c2_1(a114)
    | ~ sP19_iProver_split
    | c0_1(a114)
    | c3_1(a114) ),
    inference(instantiation,[status(thm)],[c_15530]) ).

cnf(c_15662,plain,
    ( ~ c3_1(a107)
    | ~ c2_1(a107)
    | ~ sP23_iProver_split
    | c0_1(a107) ),
    inference(instantiation,[status(thm)],[c_15539]) ).

cnf(c_15680,plain,
    ( ~ c2_1(a109)
    | ~ sP19_iProver_split
    | c0_1(a109)
    | c3_1(a109) ),
    inference(instantiation,[status(thm)],[c_15530]) ).

cnf(c_15724,plain,
    ( ~ c0_1(a135)
    | ~ c1_1(a135)
    | ~ sP25_iProver_split
    | c3_1(a135) ),
    inference(instantiation,[status(thm)],[c_15546]) ).

cnf(c_15726,plain,
    ( ~ c0_1(a135)
    | ~ c1_1(a135)
    | ~ sP6_iProver_split
    | c2_1(a135) ),
    inference(instantiation,[status(thm)],[c_15510]) ).

cnf(c_15746,plain,
    ( ~ c3_1(a126)
    | ~ sP8_iProver_split
    | c0_1(a126)
    | c2_1(a126) ),
    inference(instantiation,[status(thm)],[c_15513]) ).

cnf(c_15748,plain,
    ( ~ c3_1(a108)
    | ~ sP8_iProver_split
    | c0_1(a108)
    | c2_1(a108) ),
    inference(instantiation,[status(thm)],[c_15513]) ).

cnf(c_15751,plain,
    ( ~ c0_1(a114)
    | ~ c2_1(a114)
    | ~ sP21_iProver_split
    | c3_1(a114) ),
    inference(instantiation,[status(thm)],[c_15532]) ).

cnf(c_15758,plain,
    ( ~ c0_1(a135)
    | ~ sP12_iProver_split
    | c1_1(a135)
    | c2_1(a135) ),
    inference(instantiation,[status(thm)],[c_15519]) ).

cnf(c_15760,plain,
    ( ~ c0_1(a117)
    | ~ sP12_iProver_split
    | c1_1(a117)
    | c2_1(a117) ),
    inference(instantiation,[status(thm)],[c_15519]) ).

cnf(c_15775,plain,
    ( ~ c1_1(a167)
    | ~ sP28_iProver_split
    | c0_1(a167)
    | c2_1(a167) ),
    inference(instantiation,[status(thm)],[c_15559]) ).

cnf(c_15776,plain,
    ( ~ c1_1(a167)
    | ~ sP13_iProver_split
    | c0_1(a167)
    | c3_1(a167) ),
    inference(instantiation,[status(thm)],[c_15521]) ).

cnf(c_15843,plain,
    ( ~ c3_1(a117)
    | ~ sP14_iProver_split
    | c1_1(a117)
    | c2_1(a117) ),
    inference(instantiation,[status(thm)],[c_15522]) ).

cnf(c_15849,plain,
    ( ~ c0_1(a114)
    | ~ c1_1(a114)
    | ~ c2_1(a114)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_15534]) ).

cnf(c_15853,plain,
    ( ~ c1_1(a141)
    | ~ c3_1(a141)
    | ~ sP4_iProver_split
    | c2_1(a141) ),
    inference(instantiation,[status(thm)],[c_15507]) ).

cnf(c_15854,plain,
    ( ~ c1_1(a167)
    | ~ c3_1(a167)
    | ~ sP4_iProver_split
    | c2_1(a167) ),
    inference(instantiation,[status(thm)],[c_15507]) ).

cnf(c_15859,plain,
    ( ~ c1_1(a106)
    | ~ c3_1(a106)
    | ~ sP4_iProver_split
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_15507]) ).

cnf(c_15868,plain,
    ( ~ c0_1(a139)
    | ~ sP3_iProver_split
    | c1_1(a139)
    | c3_1(a139) ),
    inference(instantiation,[status(thm)],[c_15506]) ).

cnf(c_15874,plain,
    ( ~ c3_1(a132)
    | ~ sP1_iProver_split
    | c0_1(a132)
    | c1_1(a132) ),
    inference(instantiation,[status(thm)],[c_15503]) ).

cnf(c_15882,plain,
    ( ~ c3_1(a118)
    | ~ c2_1(a118)
    | ~ sP23_iProver_split
    | c0_1(a118) ),
    inference(instantiation,[status(thm)],[c_15539]) ).

cnf(c_15885,plain,
    ( ~ c0_1(a118)
    | ~ c3_1(a118)
    | ~ c2_1(a118)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15504]) ).

cnf(c_15886,plain,
    ( ~ c1_1(a118)
    | ~ c3_1(a118)
    | ~ c2_1(a118)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15502]) ).

cnf(c_15890,plain,
    ( ~ c1_1(a112)
    | c3_1(a112)
    | c2_1(a112)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_343]) ).

cnf(c_15891,plain,
    ( ~ c1_1(a141)
    | ~ c3_1(a141)
    | ~ c2_1(a141)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15502]) ).

cnf(c_15897,plain,
    ( ~ c1_1(a108)
    | ~ c3_1(a108)
    | ~ c2_1(a108)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15502]) ).

cnf(c_15903,plain,
    ( ~ c0_1(a126)
    | ~ c1_1(a126)
    | ~ sP6_iProver_split
    | c2_1(a126) ),
    inference(instantiation,[status(thm)],[c_15510]) ).

cnf(c_15926,plain,
    ( c0_1(a111)
    | c1_1(a111)
    | c3_1(a111)
    | hskp5 ),
    inference(instantiation,[status(thm)],[c_340]) ).

cnf(c_15932,plain,
    ( ~ sP11_iProver_split
    | c0_1(a145)
    | c1_1(a145)
    | c2_1(a145) ),
    inference(instantiation,[status(thm)],[c_15517]) ).

cnf(c_15935,plain,
    ( ~ sP11_iProver_split
    | c0_1(a111)
    | c1_1(a111)
    | c2_1(a111) ),
    inference(instantiation,[status(thm)],[c_15517]) ).

cnf(c_15952,plain,
    ( ~ c1_1(a114)
    | ~ c2_1(a114)
    | ~ sP16_iProver_split
    | c3_1(a114) ),
    inference(instantiation,[status(thm)],[c_15525]) ).

cnf(c_15975,plain,
    ( ~ c3_1(a108)
    | ~ c2_1(a108)
    | ~ sP23_iProver_split
    | c0_1(a108) ),
    inference(instantiation,[status(thm)],[c_15539]) ).

cnf(c_15977,plain,
    ( ~ c0_1(a141)
    | ~ c1_1(a141)
    | ~ c3_1(a141)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_15514]) ).

cnf(c_15984,plain,
    ( ~ c0_1(a106)
    | ~ c1_1(a106)
    | ~ c3_1(a106)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_15514]) ).

cnf(c_16022,plain,
    ( ~ c1_1(a107)
    | ~ c2_1(a107)
    | ~ sP16_iProver_split
    | c3_1(a107) ),
    inference(instantiation,[status(thm)],[c_15525]) ).

cnf(c_16034,plain,
    ( ~ c0_1(a128)
    | ~ c3_1(a128)
    | ~ c2_1(a128)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15504]) ).

cnf(c_16040,plain,
    ( ~ c0_1(a117)
    | ~ c3_1(a117)
    | ~ c2_1(a117)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15504]) ).

cnf(c_16044,plain,
    ( ~ c0_1(a135)
    | ~ sP17_iProver_split
    | c3_1(a135)
    | c2_1(a135) ),
    inference(instantiation,[status(thm)],[c_15526]) ).

cnf(c_16057,plain,
    ( ~ c0_1(a117)
    | ~ c2_1(a117)
    | ~ sP5_iProver_split
    | c1_1(a117) ),
    inference(instantiation,[status(thm)],[c_15509]) ).

cnf(c_16059,plain,
    ( ~ c0_1(a128)
    | ~ c1_1(a128)
    | ~ sP25_iProver_split
    | c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_15546]) ).

cnf(c_16068,plain,
    ( ~ c0_1(a118)
    | ~ c1_1(a118)
    | ~ c3_1(a118)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_15514]) ).

cnf(c_16112,plain,
    ( ~ c3_1(a117)
    | ~ c2_1(a117)
    | ~ sP24_iProver_split
    | c1_1(a117) ),
    inference(instantiation,[status(thm)],[c_15544]) ).

cnf(c_16123,plain,
    ( ~ c1_1(a111)
    | ~ sP27_iProver_split
    | c3_1(a111)
    | c2_1(a111) ),
    inference(instantiation,[status(thm)],[c_15557]) ).

cnf(c_16131,plain,
    ( ~ c1_1(a111)
    | ~ sP13_iProver_split
    | c0_1(a111)
    | c3_1(a111) ),
    inference(instantiation,[status(thm)],[c_15521]) ).

cnf(c_16132,plain,
    ( ~ c1_1(a111)
    | c3_1(a111)
    | c2_1(a111)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_343]) ).

cnf(c_16163,plain,
    ( ~ sP20_iProver_split
    | c0_1(a163)
    | c1_1(a163)
    | c3_1(a163) ),
    inference(instantiation,[status(thm)],[c_15531]) ).

cnf(c_16169,plain,
    ( ~ sP20_iProver_split
    | c0_1(a111)
    | c1_1(a111)
    | c3_1(a111) ),
    inference(instantiation,[status(thm)],[c_15531]) ).

cnf(c_16298,plain,
    ( ~ c0_1(a187)
    | ~ sP12_iProver_split
    | c1_1(a187)
    | c2_1(a187) ),
    inference(instantiation,[status(thm)],[c_15519]) ).

cnf(c_16299,plain,
    ( ~ c0_1(a163)
    | ~ sP12_iProver_split
    | c1_1(a163)
    | c2_1(a163) ),
    inference(instantiation,[status(thm)],[c_15519]) ).

cnf(c_16314,plain,
    ( ~ c2_1(a102)
    | ~ sP10_iProver_split
    | c0_1(a102)
    | c1_1(a102) ),
    inference(instantiation,[status(thm)],[c_15516]) ).

cnf(c_16343,plain,
    ( ~ sP18_iProver_split
    | c1_1(a135)
    | c3_1(a135)
    | c2_1(a135) ),
    inference(instantiation,[status(thm)],[c_15528]) ).

cnf(c_16349,plain,
    ( ~ sP11_iProver_split
    | c0_1(a163)
    | c1_1(a163)
    | c2_1(a163) ),
    inference(instantiation,[status(thm)],[c_15517]) ).

cnf(c_16378,plain,
    ( ~ c0_1(a103)
    | ~ c2_1(a103)
    | ~ sP21_iProver_split
    | c3_1(a103) ),
    inference(instantiation,[status(thm)],[c_15532]) ).

cnf(c_16382,plain,
    ( ~ c0_1(a103)
    | ~ sP17_iProver_split
    | c3_1(a103)
    | c2_1(a103) ),
    inference(instantiation,[status(thm)],[c_15526]) ).

cnf(c_16397,plain,
    ( ~ c0_1(a131)
    | ~ c1_1(a131)
    | ~ c3_1(a131)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_15514]) ).

cnf(c_16423,plain,
    ( ~ c0_1(a131)
    | ~ c3_1(a131)
    | ~ sP15_iProver_split
    | c1_1(a131) ),
    inference(instantiation,[status(thm)],[c_15523]) ).

cnf(c_16451,plain,
    ( ~ c3_1(a167)
    | ~ sP8_iProver_split
    | c0_1(a167)
    | c2_1(a167) ),
    inference(instantiation,[status(thm)],[c_15513]) ).

cnf(c_16556,plain,
    ( ~ sP18_iProver_split
    | c1_1(a111)
    | c3_1(a111)
    | c2_1(a111) ),
    inference(instantiation,[status(thm)],[c_15528]) ).

cnf(c_16558,plain,
    ( ~ sP26_iProver_split
    | c0_1(a111)
    | c3_1(a111)
    | c2_1(a111) ),
    inference(instantiation,[status(thm)],[c_15550]) ).

cnf(c_16609,plain,
    ( ~ c0_1(a106)
    | ~ sP17_iProver_split
    | c3_1(a106)
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_15526]) ).

cnf(c_16789,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16609,c_16556,c_16558,c_16451,c_16423,c_16397,c_16378,c_16382,c_16349,c_16343,c_16314,c_16299,c_16298,c_16169,c_16163,c_16123,c_16131,c_16132,c_16112,c_16068,c_16059,c_16057,c_16044,c_16040,c_16034,c_16022,c_15984,c_15977,c_15975,c_15952,c_15935,c_15932,c_15926,c_15903,c_15897,c_15891,c_15890,c_15882,c_15885,c_15886,c_15874,c_15868,c_15859,c_15854,c_15853,c_15849,c_15843,c_15775,c_15776,c_15760,c_15758,c_15751,c_15748,c_15746,c_15724,c_15726,c_15680,c_15662,c_15658,c_15655,c_15651,c_15649,c_15648,c_15645,c_15639,c_15636,c_15630,c_15627,c_15624,c_15618,c_15614,c_15595,c_15589,c_15584,c_15583,c_15582,c_15578,c_15574,c_15573,c_15572,c_15570,c_15566,c_15561,c_15560,c_15558,c_15556,c_15555,c_15553,c_15551,c_15547,c_15545,c_15542,c_15541,c_15540,c_15538,c_15537,c_15536,c_15533,c_15529,c_15527,c_15524,c_15520,c_15518,c_15515,c_15508,c_15505,c_4295,c_4288,c_4281,c_3617,c_3607,c_3597,c_2867,c_2857,c_2847,c_2552,c_2532,c_1982,c_1972,c_1962,c_1952,c_1942,c_1932,c_141,c_142,c_143,c_144,c_145,c_149,c_150,c_151,c_154,c_155,c_156,c_157,c_159,c_160,c_161,c_162,c_164,c_167,c_168,c_169,c_170,c_171,c_174,c_175,c_176,c_177,c_178,c_179,c_181,c_182,c_183,c_184,c_89,c_90,c_91,c_95,c_96,c_97,c_98,c_99,c_100,c_103,c_105,c_106,c_109,c_110,c_111,c_112,c_113,c_116,c_117,c_119,c_121,c_122,c_123,c_124,c_125,c_126,c_127,c_128,c_129,c_132,c_134,c_135,c_136]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN466-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.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 : Sat Aug 26 17:19:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.59/1.16  % SZS status Started for theBenchmark.p
% 3.59/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.59/1.16  
% 3.59/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.59/1.16  
% 3.59/1.16  ------  iProver source info
% 3.59/1.16  
% 3.59/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.59/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.59/1.16  git: non_committed_changes: false
% 3.59/1.16  git: last_make_outside_of_git: false
% 3.59/1.16  
% 3.59/1.16  ------ Parsing...successful
% 3.59/1.16  
% 3.59/1.16  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  ------ 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 
% 3.59/1.16  
% 3.59/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.59/1.16   gs_s  sp: 102 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.59/1.16  ------ Proving...
% 3.59/1.16  ------ Problem Properties 
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  clauses                                 194
% 3.59/1.16  conjectures                             191
% 3.59/1.16  EPR                                     194
% 3.59/1.16  Horn                                    108
% 3.59/1.16  unary                                   0
% 3.59/1.16  binary                                  94
% 3.59/1.16  lits                                    521
% 3.59/1.16  lits eq                                 0
% 3.59/1.16  fd_pure                                 0
% 3.59/1.16  fd_pseudo                               0
% 3.59/1.16  fd_cond                                 0
% 3.59/1.16  fd_pseudo_cond                          0
% 3.59/1.16  AC symbols                              0
% 3.59/1.16  
% 3.59/1.16  ------ Schedule EPR non Horn non eq is on
% 3.59/1.16  
% 3.59/1.16  ------ no equalities: superposition off 
% 3.59/1.16  
% 3.59/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  ------ 
% 3.59/1.16  Current options:
% 3.59/1.16  ------ 
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  ------ Proving...
% 3.59/1.16  
% 3.59/1.16  
% 3.59/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.59/1.16  
% 3.59/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/1.16  
% 3.59/1.16  
%------------------------------------------------------------------------------