TSTP Solution File: SYN443-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN443-1 : 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 May  3 03:30:42 EDT 2024

% Result   : Unsatisfiable 3.76s 1.13s
% Output   : CNFRefutation 3.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  110
% Syntax   : Number of clauses     :  367 (   2 unt; 234 nHn; 350 RR)
%            Number of literals    : 1556 (   0 equ; 742 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   55 (  54 usr;  51 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  236 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( hskp11
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(c_50,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(c_53,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(c_73,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

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

cnf(c_81,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(c_83,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(c_85,negated_conjecture,
    ( hskp30
    | hskp18
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(c_86,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(c_90,negated_conjecture,
    ( ~ hskp30
    | c0_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp30
    | c2_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp30
    | c3_1(a33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp28
    | c0_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp28
    | c1_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp28
    | c3_1(a15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp27
    | c1_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp27
    | c2_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp27
    | c3_1(a10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp25
    | c1_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp25
    | c3_1(a64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp24
    | c0_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp24
    | c3_1(a58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp23
    | c0_1(a52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(c_108,negated_conjecture,
    ( ~ hskp22
    | c2_1(a43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp21
    | c2_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp21
    | c3_1(a42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp18
    | c3_1(a34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp17
    | c3_1(a32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp15
    | c0_1(a27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp15
    | c1_1(a27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp11
    | c0_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp9
    | c1_1(a12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp7
    | c1_1(a9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp6
    | c0_1(a8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp5
    | c0_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp5
    | c2_1(a6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp4
    | c2_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp4
    | c3_1(a5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp2
    | c0_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp2
    | c2_1(a3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(c_139,negated_conjecture,
    ( ~ c2_1(a64)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(c_140,negated_conjecture,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(c_141,negated_conjecture,
    ( ~ c1_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c1_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c3_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(c_145,negated_conjecture,
    ( ~ c0_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(c_147,negated_conjecture,
    ( ~ c1_1(a36)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(c_148,negated_conjecture,
    ( ~ c2_1(a36)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(c_149,negated_conjecture,
    ( ~ c3_1(a36)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a34)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(c_151,negated_conjecture,
    ( ~ c2_1(a34)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(c_152,negated_conjecture,
    ( ~ c0_1(a32)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(c_153,negated_conjecture,
    ( ~ c2_1(a32)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(c_156,negated_conjecture,
    ( ~ c2_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(c_160,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c3_1(a22)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c3_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(c_172,negated_conjecture,
    ( ~ c0_1(a9)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a9)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c3_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c3_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

cnf(c_180,negated_conjecture,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

cnf(c_182,negated_conjecture,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

cnf(c_186,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp5
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

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

cnf(c_190,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(c_191,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp11
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(c_196,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

cnf(c_197,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp4
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(c_198,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp15
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

cnf(c_200,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp23
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(c_201,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(c_202,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp22
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(c_204,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp27
    | hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

cnf(c_207,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(c_208,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

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

cnf(c_212,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(c_215,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(c_216,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

cnf(c_219,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

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

cnf(c_221,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(c_224,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X1)
    | hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

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

cnf(c_227,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

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

cnf(c_229,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X0)
    | c3_1(X1)
    | c1_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

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

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

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

cnf(c_260,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_80,c_86,c_73,c_53,c_50]) ).

cnf(c_331,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp4
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_86,c_73,c_53,c_50,c_197]) ).

cnf(c_334,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_86,c_73,c_53,c_50,c_196]) ).

cnf(c_349,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp11
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_86,c_73,c_53,c_50,c_191]) ).

cnf(c_352,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_86,c_73,c_53,c_50,c_190]) ).

cnf(c_361,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_86,c_73,c_53,c_50,c_187]) ).

cnf(c_364,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp5
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_86,c_73,c_53,c_50,c_186]) ).

cnf(c_367,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp27
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_86,c_73,c_53,c_50,c_204]) ).

cnf(c_368,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp27
    | hskp25 ),
    inference(renaming,[status(thm)],[c_367]) ).

cnf(c_373,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_86,c_73,c_53,c_50,c_202]) ).

cnf(c_374,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp19 ),
    inference(renaming,[status(thm)],[c_373]) ).

cnf(c_376,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_86,c_73,c_53,c_50,c_201]) ).

cnf(c_377,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    inference(renaming,[status(thm)],[c_376]) ).

cnf(c_379,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp23
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_86,c_73,c_53,c_50,c_200]) ).

cnf(c_380,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp23
    | hskp2 ),
    inference(renaming,[status(thm)],[c_379]) ).

cnf(c_385,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp15
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_86,c_73,c_53,c_50,c_198]) ).

cnf(c_386,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp15
    | hskp4 ),
    inference(renaming,[status(thm)],[c_385]) ).

cnf(c_391,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_86,c_73,c_53,c_50,c_207]) ).

cnf(c_394,negated_conjecture,
    ( ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_86,c_73,c_53,c_50,c_206]) ).

cnf(c_396,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_86,c_73,c_53,c_50,c_214]) ).

cnf(c_397,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_396]) ).

cnf(c_401,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_86,c_73,c_53,c_50,c_212]) ).

cnf(c_402,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_405,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_86,c_73,c_53,c_50,c_210]) ).

cnf(c_406,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_405]) ).

cnf(c_410,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_86,c_73,c_53,c_50,c_208]) ).

cnf(c_411,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_412,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_86,c_73,c_53,c_50,c_219]) ).

cnf(c_413,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_414,plain,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_86,c_73,c_53,c_50,c_218]) ).

cnf(c_415,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_416,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_86,c_73,c_53,c_50,c_217]) ).

cnf(c_417,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_418,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_86,c_73,c_53,c_50,c_216]) ).

cnf(c_419,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c1_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_420,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_86,c_73,c_53,c_50,c_215]) ).

cnf(c_421,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_420]) ).

cnf(c_422,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_224,c_260]) ).

cnf(c_423,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_426,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_86,c_73,c_53,c_50,c_222]) ).

cnf(c_427,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_428,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_86,c_73,c_53,c_50,c_221]) ).

cnf(c_429,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_86,c_73,c_53,c_50,c_220]) ).

cnf(c_431,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_86,c_73,c_53,c_50,c_225]) ).

cnf(c_433,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_434,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_86,c_73,c_53,c_50,c_227]) ).

cnf(c_435,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_436,plain,
    ( ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_86,c_73,c_53,c_50,c_226]) ).

cnf(c_437,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_436]) ).

cnf(c_438,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_86,c_73,c_53,c_50,c_228]) ).

cnf(c_439,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_440,plain,
    ( ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_86,c_73,c_53,c_50,c_229]) ).

cnf(c_441,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_442,plain,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c3_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_86,c_73,c_53,c_50,c_230]) ).

cnf(c_443,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | c0_1(X2)
    | c3_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_444,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_86,c_73,c_53,c_50,c_231]) ).

cnf(c_445,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_444]) ).

cnf(c_446,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_86,c_73,c_53,c_50,c_232]) ).

cnf(c_447,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(renaming,[status(thm)],[c_446]) ).

cnf(c_1843,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(a64)
    | c3_1(X0)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_368,c_139]) ).

cnf(c_1844,plain,
    ( ~ c2_1(a64)
    | ~ c2_1(a1)
    | ~ c1_1(a1)
    | c3_1(a1)
    | hskp27 ),
    inference(instantiation,[status(thm)],[c_1843]) ).

cnf(c_1860,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(a64)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_368,c_104]) ).

cnf(c_1861,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | c3_1(a64)
    | c3_1(a1)
    | hskp27 ),
    inference(instantiation,[status(thm)],[c_1860]) ).

cnf(c_1877,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c1_1(a64)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_368,c_103]) ).

cnf(c_1878,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | c3_1(a1)
    | c1_1(a64)
    | hskp27 ),
    inference(instantiation,[status(thm)],[c_1877]) ).

cnf(c_2158,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(a27)
    | c0_1(X0)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_386,c_156]) ).

cnf(c_2159,plain,
    ( ~ c2_1(a27)
    | ~ c2_1(a1)
    | ~ c1_1(a1)
    | c0_1(a1)
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_2158]) ).

cnf(c_2175,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c1_1(a27)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_386,c_117]) ).

cnf(c_2176,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | c0_1(a1)
    | c1_1(a27)
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_2175]) ).

cnf(c_2192,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(a27)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_386,c_116]) ).

cnf(c_2193,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | c0_1(a27)
    | c0_1(a1)
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_2192]) ).

cnf(c_2209,plain,
    ( ~ c2_1(a27)
    | hskp25
    | hskp2 ),
    inference(resolution,[status(thm)],[c_83,c_156]) ).

cnf(c_2229,plain,
    ( c0_1(a27)
    | hskp25
    | hskp2 ),
    inference(resolution,[status(thm)],[c_83,c_116]) ).

cnf(c_2344,plain,
    ( ~ c3_1(a19)
    | hskp22 ),
    inference(resolution,[status(thm)],[c_49,c_165]) ).

cnf(c_2351,plain,
    ( c1_1(a19)
    | hskp22 ),
    inference(resolution,[status(thm)],[c_49,c_120]) ).

cnf(c_2358,plain,
    ( c0_1(a19)
    | hskp22 ),
    inference(resolution,[status(thm)],[c_49,c_119]) ).

cnf(c_2863,plain,
    ( c3_1(a15)
    | hskp9
    | hskp1 ),
    inference(resolution,[status(thm)],[c_81,c_98]) ).

cnf(c_2873,plain,
    ( c1_1(a15)
    | hskp9
    | hskp1 ),
    inference(resolution,[status(thm)],[c_81,c_97]) ).

cnf(c_2883,plain,
    ( c0_1(a15)
    | hskp9
    | hskp1 ),
    inference(resolution,[status(thm)],[c_81,c_96]) ).

cnf(c_3130,plain,
    ( c3_1(a33)
    | hskp27
    | hskp17 ),
    inference(resolution,[status(thm)],[c_87,c_92]) ).

cnf(c_3140,plain,
    ( c2_1(a33)
    | hskp27
    | hskp17 ),
    inference(resolution,[status(thm)],[c_87,c_91]) ).

cnf(c_3160,plain,
    ( c3_1(a33)
    | hskp27
    | hskp7 ),
    inference(resolution,[status(thm)],[c_86,c_92]) ).

cnf(c_3170,plain,
    ( c2_1(a33)
    | hskp27
    | hskp7 ),
    inference(resolution,[status(thm)],[c_86,c_91]) ).

cnf(c_5326,plain,
    ( ~ c2_1(a34)
    | hskp30
    | hskp2 ),
    inference(resolution,[status(thm)],[c_85,c_151]) ).

cnf(c_5336,plain,
    ( ~ c1_1(a34)
    | hskp30
    | hskp2 ),
    inference(resolution,[status(thm)],[c_85,c_150]) ).

cnf(c_5346,plain,
    ( c3_1(a34)
    | hskp30
    | hskp2 ),
    inference(resolution,[status(thm)],[c_85,c_113]) ).

cnf(c_5860,plain,
    ( ~ c2_1(a9)
    | hskp30
    | hskp27 ),
    inference(resolution,[status(thm)],[c_86,c_173]) ).

cnf(c_5870,plain,
    ( ~ c0_1(a9)
    | hskp30
    | hskp27 ),
    inference(resolution,[status(thm)],[c_86,c_172]) ).

cnf(c_5880,plain,
    ( c1_1(a9)
    | hskp30
    | hskp27 ),
    inference(resolution,[status(thm)],[c_86,c_124]) ).

cnf(c_14256,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_447]) ).

cnf(c_14257,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_447]) ).

cnf(c_14258,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_447]) ).

cnf(c_14259,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).

cnf(c_14260,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_445]) ).

cnf(c_14261,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_445]) ).

cnf(c_14262,negated_conjecture,
    ( sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

cnf(c_14263,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_443]) ).

cnf(c_14264,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_443]) ).

cnf(c_14265,negated_conjecture,
    ( sP4_iProver_def
    | sP5_iProver_def
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_14266,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_441]) ).

cnf(c_14267,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_441]) ).

cnf(c_14268,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_441]) ).

cnf(c_14269,negated_conjecture,
    ( sP7_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

cnf(c_14270,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_439]) ).

cnf(c_14271,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_439]) ).

cnf(c_14272,negated_conjecture,
    ( sP7_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

cnf(c_14273,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_437]) ).

cnf(c_14274,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_437]) ).

cnf(c_14276,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_435]) ).

cnf(c_14277,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_435]) ).

cnf(c_14278,negated_conjecture,
    ( sP13_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

cnf(c_14279,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_433]) ).

cnf(c_14281,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_431]) ).

cnf(c_14284,negated_conjecture,
    ( hskp5
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_14285,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_427]) ).

cnf(c_14289,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_423]) ).

cnf(c_14291,negated_conjecture,
    ( hskp22
    | sP16_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

cnf(c_14292,negated_conjecture,
    ( hskp0
    | sP19_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

cnf(c_14293,negated_conjecture,
    ( hskp5
    | sP6_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_14294,negated_conjecture,
    ( hskp13
    | sP4_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_14295,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_413]) ).

cnf(c_14296,negated_conjecture,
    ( hskp24
    | sP6_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

cnf(c_14297,negated_conjecture,
    ( hskp1
    | sP4_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_14300,negated_conjecture,
    ( hskp6
    | sP10_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

cnf(c_14302,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_402]) ).

cnf(c_14303,negated_conjecture,
    ( hskp0
    | sP8_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_14306,negated_conjecture,
    ( hskp22
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

cnf(c_14307,negated_conjecture,
    ( hskp2
    | sP13_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

cnf(c_14308,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_391]) ).

cnf(c_14309,negated_conjecture,
    ( hskp17
    | sP11_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_391]) ).

cnf(c_14314,negated_conjecture,
    ( hskp23
    | hskp2
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_14315,negated_conjecture,
    ( hskp1
    | hskp0
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_14316,negated_conjecture,
    ( hskp22
    | hskp19
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

cnf(c_14321,negated_conjecture,
    ( hskp5
    | hskp0
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

cnf(c_14322,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_361]) ).

cnf(c_14323,negated_conjecture,
    ( hskp7
    | hskp6
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).

cnf(c_14326,negated_conjecture,
    ( hskp28
    | hskp27
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

cnf(c_14327,negated_conjecture,
    ( hskp11
    | hskp6
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

cnf(c_14332,negated_conjecture,
    ( hskp21
    | hskp0
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_334]) ).

cnf(c_14333,negated_conjecture,
    ( hskp4
    | hskp2
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_331]) ).

cnf(c_14336,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_14259]) ).

cnf(c_14339,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_14256]) ).

cnf(c_14340,negated_conjecture,
    ( sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_14262]) ).

cnf(c_14341,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_14258]) ).

cnf(c_14343,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP3_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14260]) ).

cnf(c_14344,negated_conjecture,
    ( sP4_iProver_def
    | sP5_iProver_def
    | sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_14265]) ).

cnf(c_14348,negated_conjecture,
    ( sP7_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_14269]) ).

cnf(c_14352,negated_conjecture,
    ( sP7_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_14272]) ).

cnf(c_14360,negated_conjecture,
    ( sP13_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_14278]) ).

cnf(c_14370,negated_conjecture,
    ( hskp5
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_14284]) ).

cnf(c_14374,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_14257]) ).

cnf(c_14382,negated_conjecture,
    ( hskp22
    | sP16_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_14291]) ).

cnf(c_14385,negated_conjecture,
    ( hskp0
    | sP19_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_14292]) ).

cnf(c_14386,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP21_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14289]) ).

cnf(c_14388,negated_conjecture,
    ( hskp5
    | sP6_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_14293]) ).

cnf(c_14390,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP19_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14285]) ).

cnf(c_14391,negated_conjecture,
    ( hskp13
    | sP4_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_14294]) ).

cnf(c_14394,negated_conjecture,
    ( hskp24
    | sP6_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_14296]) ).

cnf(c_14395,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14264]) ).

cnf(c_14397,negated_conjecture,
    ( hskp1
    | sP4_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_14297]) ).

cnf(c_14398,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP4_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14261]) ).

cnf(c_14403,negated_conjecture,
    ( hskp6
    | sP10_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_14300]) ).

cnf(c_14409,negated_conjecture,
    ( hskp0
    | sP8_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_14303]) ).

cnf(c_14410,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14267]) ).

cnf(c_14411,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP24_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14302]) ).

cnf(c_14415,negated_conjecture,
    ( hskp22
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_14306]) ).

cnf(c_14417,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP22_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14295]) ).

cnf(c_14418,negated_conjecture,
    ( hskp2
    | sP13_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_14307]) ).

cnf(c_14421,negated_conjecture,
    ( hskp17
    | sP11_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_14309]) ).

cnf(c_14422,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP11_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14271]) ).

cnf(c_14426,negated_conjecture,
    ( ~ sP13_iProver_def
    | c0_1(X0)
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14274]) ).

cnf(c_14428,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14266]) ).

cnf(c_14430,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14263]) ).

cnf(c_14431,negated_conjecture,
    ( hskp23
    | hskp2
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14314]) ).

cnf(c_14433,negated_conjecture,
    ( hskp1
    | hskp0
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14315]) ).

cnf(c_14434,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP16_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14279]) ).

cnf(c_14435,negated_conjecture,
    ( hskp22
    | hskp19
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_14316]) ).

cnf(c_14436,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP9_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14268]) ).

cnf(c_14441,negated_conjecture,
    ( hskp5
    | hskp0
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_14321]) ).

cnf(c_14442,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP12_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14273]) ).

cnf(c_14443,negated_conjecture,
    ( hskp7
    | hskp6
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_14323]) ).

cnf(c_14448,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP30_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14322]) ).

cnf(c_14449,negated_conjecture,
    ( hskp28
    | hskp27
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_14326]) ).

cnf(c_14450,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP10_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14270]) ).

cnf(c_14451,negated_conjecture,
    ( hskp11
    | hskp6
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_14327]) ).

cnf(c_14454,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP17_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14281]) ).

cnf(c_14461,negated_conjecture,
    ( hskp21
    | hskp0
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_14332]) ).

cnf(c_14462,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP14_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14276]) ).

cnf(c_14463,negated_conjecture,
    ( hskp4
    | hskp2
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_14333]) ).

cnf(c_14464,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP15_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14277]) ).

cnf(c_14468,negated_conjecture,
    ( ~ sP26_iProver_def
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14308]) ).

cnf(c_14588,plain,
    ( ~ c2_1(a1)
    | ~ c3_1(a1)
    | ~ sP5_iProver_def
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_14430]) ).

cnf(c_14590,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ sP7_iProver_def
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_14428]) ).

cnf(c_14611,plain,
    ( ~ c0_1(a6)
    | ~ c2_1(a6)
    | ~ sP4_iProver_def
    | c1_1(a6) ),
    inference(instantiation,[status(thm)],[c_14398]) ).

cnf(c_14612,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | ~ sP4_iProver_def
    | c1_1(a3) ),
    inference(instantiation,[status(thm)],[c_14398]) ).

cnf(c_14615,plain,
    ( ~ c2_1(a43)
    | ~ sP8_iProver_def
    | c3_1(a43)
    | c1_1(a43) ),
    inference(instantiation,[status(thm)],[c_14410]) ).

cnf(c_14626,plain,
    ( ~ sP13_iProver_def
    | c0_1(a32)
    | c2_1(a32)
    | c1_1(a32) ),
    inference(instantiation,[status(thm)],[c_14426]) ).

cnf(c_14631,plain,
    ( ~ c1_1(a64)
    | ~ sP10_iProver_def
    | c0_1(a64)
    | c2_1(a64) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

cnf(c_14633,plain,
    ( ~ c1_1(a32)
    | ~ sP10_iProver_def
    | c0_1(a32)
    | c2_1(a32) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

cnf(c_14636,plain,
    ( ~ c1_1(a9)
    | ~ sP10_iProver_def
    | c0_1(a9)
    | c2_1(a9) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

cnf(c_14649,plain,
    ( ~ c1_1(a22)
    | ~ sP10_iProver_def
    | c0_1(a22)
    | c2_1(a22) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

cnf(c_14650,plain,
    ( ~ sP13_iProver_def
    | c0_1(a22)
    | c2_1(a22)
    | c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_14426]) ).

cnf(c_14651,plain,
    ( ~ c0_1(a64)
    | ~ c3_1(a64)
    | ~ c1_1(a64)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14341]) ).

cnf(c_14657,plain,
    ( ~ c0_1(a2)
    | ~ c3_1(a2)
    | ~ c1_1(a2)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14341]) ).

cnf(c_14665,plain,
    ( ~ c0_1(a64)
    | ~ c3_1(a64)
    | ~ sP9_iProver_def
    | c2_1(a64) ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_14667,plain,
    ( ~ c0_1(a34)
    | ~ c3_1(a34)
    | ~ sP9_iProver_def
    | c2_1(a34) ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_14680,plain,
    ( ~ c0_1(a58)
    | ~ sP14_iProver_def
    | c2_1(a58)
    | c1_1(a58) ),
    inference(instantiation,[status(thm)],[c_14462]) ).

cnf(c_14685,plain,
    ( ~ c0_1(a2)
    | ~ sP14_iProver_def
    | c2_1(a2)
    | c1_1(a2) ),
    inference(instantiation,[status(thm)],[c_14462]) ).

cnf(c_14687,plain,
    ( ~ c2_1(a10)
    | ~ c3_1(a10)
    | ~ sP5_iProver_def
    | c0_1(a10) ),
    inference(instantiation,[status(thm)],[c_14430]) ).

cnf(c_14688,plain,
    ( ~ c0_1(a10)
    | ~ c3_1(a10)
    | ~ c1_1(a10)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14341]) ).

cnf(c_14689,plain,
    ( ~ c2_1(a10)
    | ~ c3_1(a10)
    | ~ c1_1(a10)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_14374]) ).

cnf(c_14691,plain,
    ( ~ c3_1(a64)
    | ~ sP17_iProver_def
    | c0_1(a64)
    | c2_1(a64) ),
    inference(instantiation,[status(thm)],[c_14454]) ).

cnf(c_14693,plain,
    ( ~ c3_1(a34)
    | ~ sP17_iProver_def
    | c0_1(a34)
    | c2_1(a34) ),
    inference(instantiation,[status(thm)],[c_14454]) ).

cnf(c_14694,plain,
    ( ~ c3_1(a32)
    | ~ sP17_iProver_def
    | c0_1(a32)
    | c2_1(a32) ),
    inference(instantiation,[status(thm)],[c_14454]) ).

cnf(c_14710,plain,
    ( ~ c0_1(a19)
    | ~ c2_1(a19)
    | ~ sP6_iProver_def
    | c3_1(a19) ),
    inference(instantiation,[status(thm)],[c_14395]) ).

cnf(c_14711,plain,
    ( ~ c0_1(a6)
    | ~ c2_1(a6)
    | ~ sP6_iProver_def
    | c3_1(a6) ),
    inference(instantiation,[status(thm)],[c_14395]) ).

cnf(c_14714,plain,
    ( ~ sP13_iProver_def
    | c0_1(a36)
    | c2_1(a36)
    | c1_1(a36) ),
    inference(instantiation,[status(thm)],[c_14426]) ).

cnf(c_14724,plain,
    ( ~ c0_1(a52)
    | ~ sP14_iProver_def
    | c2_1(a52)
    | c1_1(a52) ),
    inference(instantiation,[status(thm)],[c_14462]) ).

cnf(c_14725,plain,
    ( ~ c0_1(a52)
    | ~ sP11_iProver_def
    | c3_1(a52)
    | c1_1(a52) ),
    inference(instantiation,[status(thm)],[c_14422]) ).

cnf(c_14731,plain,
    ( ~ c0_1(a19)
    | ~ sP15_iProver_def
    | c2_1(a19)
    | c3_1(a19) ),
    inference(instantiation,[status(thm)],[c_14464]) ).

cnf(c_14741,plain,
    ( ~ c0_1(a15)
    | ~ c3_1(a15)
    | ~ sP9_iProver_def
    | c2_1(a15) ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_14743,plain,
    ( ~ c0_1(a15)
    | ~ c3_1(a15)
    | ~ c1_1(a15)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14341]) ).

cnf(c_14744,plain,
    ( ~ c2_1(a15)
    | ~ c3_1(a15)
    | ~ c1_1(a15)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_14374]) ).

cnf(c_14752,plain,
    ( ~ c0_1(a8)
    | ~ sP15_iProver_def
    | c2_1(a8)
    | c3_1(a8) ),
    inference(instantiation,[status(thm)],[c_14464]) ).

cnf(c_14762,plain,
    ( ~ c1_1(a22)
    | ~ sP22_iProver_def
    | c2_1(a22)
    | c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_14417]) ).

cnf(c_14763,plain,
    ( ~ c1_1(a12)
    | ~ sP22_iProver_def
    | c2_1(a12)
    | c3_1(a12) ),
    inference(instantiation,[status(thm)],[c_14417]) ).

cnf(c_14770,plain,
    ( ~ c0_1(a15)
    | ~ c2_1(a15)
    | ~ c1_1(a15)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14339]) ).

cnf(c_14773,plain,
    ( ~ c0_1(a19)
    | ~ c2_1(a19)
    | ~ c1_1(a19)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14339]) ).

cnf(c_14774,plain,
    ( ~ c0_1(a6)
    | ~ c2_1(a6)
    | ~ c1_1(a6)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14339]) ).

cnf(c_14787,plain,
    ( ~ c3_1(a34)
    | ~ sP30_iProver_def
    | c0_1(a34)
    | c1_1(a34) ),
    inference(instantiation,[status(thm)],[c_14448]) ).

cnf(c_14796,plain,
    ( ~ c0_1(a27)
    | ~ sP15_iProver_def
    | c2_1(a27)
    | c3_1(a27) ),
    inference(instantiation,[status(thm)],[c_14464]) ).

cnf(c_14809,plain,
    ( ~ c0_1(a52)
    | ~ c3_1(a52)
    | ~ sP9_iProver_def
    | c2_1(a52) ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_14824,plain,
    ( ~ c0_1(a33)
    | ~ c3_1(a33)
    | ~ c1_1(a33)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14341]) ).

cnf(c_14825,plain,
    ( ~ c2_1(a33)
    | ~ c3_1(a33)
    | ~ c1_1(a33)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_14374]) ).

cnf(c_14826,plain,
    ( ~ c0_1(a33)
    | ~ c2_1(a33)
    | ~ c1_1(a33)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14339]) ).

cnf(c_14828,plain,
    ( ~ c0_1(a10)
    | ~ c2_1(a10)
    | ~ c1_1(a10)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_14339]) ).

cnf(c_14837,plain,
    ( ~ c2_1(a42)
    | ~ c3_1(a42)
    | ~ sP5_iProver_def
    | c0_1(a42) ),
    inference(instantiation,[status(thm)],[c_14430]) ).

cnf(c_14850,plain,
    ( ~ c0_1(a43)
    | ~ c2_1(a43)
    | ~ sP6_iProver_def
    | c3_1(a43) ),
    inference(instantiation,[status(thm)],[c_14395]) ).

cnf(c_14856,plain,
    ( ~ c0_1(a33)
    | ~ c2_1(a33)
    | ~ sP4_iProver_def
    | c1_1(a33) ),
    inference(instantiation,[status(thm)],[c_14398]) ).

cnf(c_14863,plain,
    ( ~ c0_1(a5)
    | ~ c2_1(a5)
    | ~ sP4_iProver_def
    | c1_1(a5) ),
    inference(instantiation,[status(thm)],[c_14398]) ).

cnf(c_14869,plain,
    ( ~ c1_1(a22)
    | ~ sP24_iProver_def
    | c0_1(a22)
    | c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_14411]) ).

cnf(c_14891,plain,
    ( ~ c2_1(a5)
    | ~ c3_1(a5)
    | ~ sP16_iProver_def
    | c1_1(a5) ),
    inference(instantiation,[status(thm)],[c_14434]) ).

cnf(c_14901,plain,
    ( ~ c2_1(a43)
    | ~ sP12_iProver_def
    | c0_1(a43)
    | c1_1(a43) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

cnf(c_14905,plain,
    ( ~ c2_1(a5)
    | ~ sP12_iProver_def
    | c0_1(a5)
    | c1_1(a5) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

cnf(c_14916,plain,
    ( ~ sP26_iProver_def
    | c2_1(a52)
    | c3_1(a52)
    | c1_1(a52) ),
    inference(instantiation,[status(thm)],[c_14468]) ).

cnf(c_14961,plain,
    ( ~ c2_1(a58)
    | ~ c3_1(a58)
    | ~ sP16_iProver_def
    | c1_1(a58) ),
    inference(instantiation,[status(thm)],[c_14434]) ).

cnf(c_14997,plain,
    ( ~ c0_1(a27)
    | ~ c1_1(a27)
    | ~ sP3_iProver_def
    | c2_1(a27) ),
    inference(instantiation,[status(thm)],[c_14343]) ).

cnf(c_15000,plain,
    ( ~ c0_1(a2)
    | ~ c1_1(a2)
    | ~ sP3_iProver_def
    | c2_1(a2) ),
    inference(instantiation,[status(thm)],[c_14343]) ).

cnf(c_15004,plain,
    ( ~ c3_1(a2)
    | ~ sP19_iProver_def
    | c2_1(a2)
    | c1_1(a2) ),
    inference(instantiation,[status(thm)],[c_14390]) ).

cnf(c_15036,plain,
    ( ~ c0_1(a36)
    | ~ sP15_iProver_def
    | c2_1(a36)
    | c3_1(a36) ),
    inference(instantiation,[status(thm)],[c_14464]) ).

cnf(c_15052,plain,
    ( ~ c3_1(a34)
    | ~ sP19_iProver_def
    | c2_1(a34)
    | c1_1(a34) ),
    inference(instantiation,[status(thm)],[c_14390]) ).

cnf(c_15083,plain,
    ( ~ c0_1(a15)
    | ~ c1_1(a15)
    | ~ sP3_iProver_def
    | c2_1(a15) ),
    inference(instantiation,[status(thm)],[c_14343]) ).

cnf(c_15112,plain,
    ( ~ c0_1(a27)
    | ~ c3_1(a27)
    | ~ c1_1(a27)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14341]) ).

cnf(c_15261,plain,
    ( ~ c0_1(a6)
    | ~ c1_1(a6)
    | ~ sP21_iProver_def
    | c3_1(a6) ),
    inference(instantiation,[status(thm)],[c_14386]) ).

cnf(c_15304,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15261,c_15112,c_15083,c_15052,c_15036,c_15004,c_15000,c_14997,c_14961,c_14916,c_14905,c_14901,c_14891,c_14869,c_14863,c_14856,c_14850,c_14837,c_14828,c_14826,c_14824,c_14825,c_14809,c_14796,c_14787,c_14774,c_14773,c_14770,c_14763,c_14762,c_14752,c_14741,c_14743,c_14744,c_14731,c_14724,c_14725,c_14714,c_14711,c_14710,c_14694,c_14693,c_14691,c_14687,c_14688,c_14689,c_14685,c_14680,c_14667,c_14665,c_14657,c_14651,c_14649,c_14650,c_14636,c_14633,c_14631,c_14626,c_14615,c_14612,c_14611,c_14590,c_14588,c_14463,c_14461,c_14451,c_14449,c_14443,c_14441,c_14435,c_14433,c_14431,c_14421,c_14418,c_14415,c_14409,c_14403,c_14397,c_14394,c_14391,c_14388,c_14385,c_14382,c_14370,c_14360,c_14352,c_14348,c_14344,c_14340,c_14336,c_5880,c_5870,c_5860,c_5346,c_5336,c_5326,c_3170,c_3160,c_3140,c_3130,c_2883,c_2873,c_2863,c_2358,c_2351,c_2344,c_2229,c_2209,c_2193,c_2176,c_2159,c_1878,c_1861,c_1844,c_139,c_140,c_141,c_142,c_143,c_144,c_145,c_147,c_148,c_149,c_152,c_153,c_160,c_161,c_162,c_165,c_169,c_170,c_172,c_173,c_174,c_175,c_176,c_177,c_180,c_181,c_182,c_90,c_91,c_92,c_96,c_97,c_98,c_99,c_100,c_101,c_103,c_104,c_105,c_106,c_107,c_108,c_109,c_110,c_114,c_119,c_121,c_124,c_125,c_126,c_127,c_128,c_129,c_131,c_132,c_133,c_134,c_135,c_136,c_87]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN443-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:29:49 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.76/1.13  % SZS status Started for theBenchmark.p
% 3.76/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.13  
% 3.76/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.76/1.13  
% 3.76/1.13  ------  iProver source info
% 3.76/1.13  
% 3.76/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.76/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.76/1.13  git: non_committed_changes: false
% 3.76/1.13  
% 3.76/1.13  ------ Parsing...successful
% 3.76/1.13  
% 3.76/1.13  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  ------ 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 
% 3.76/1.13  
% 3.76/1.13  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.76/1.13   gs_s  sp: 84 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.76/1.13  ------ Proving...
% 3.76/1.13  ------ Problem Properties 
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  clauses                                 183
% 3.76/1.13  conjectures                             180
% 3.76/1.13  EPR                                     183
% 3.76/1.13  Horn                                    105
% 3.76/1.13  unary                                   0
% 3.76/1.13  binary                                  91
% 3.76/1.13  lits                                    490
% 3.76/1.13  lits eq                                 0
% 3.76/1.13  fd_pure                                 0
% 3.76/1.13  fd_pseudo                               0
% 3.76/1.13  fd_cond                                 0
% 3.76/1.13  fd_pseudo_cond                          0
% 3.76/1.13  AC symbols                              0
% 3.76/1.13  
% 3.76/1.13  ------ Schedule EPR non Horn non eq is on
% 3.76/1.13  
% 3.76/1.13  ------ no equalities: superposition off 
% 3.76/1.13  
% 3.76/1.13  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  ------ 
% 3.76/1.13  Current options:
% 3.76/1.13  ------ 
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  ------ Proving...
% 3.76/1.13  
% 3.76/1.13  
% 3.76/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.13  
% 3.76/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.14  
% 3.76/1.14  
%------------------------------------------------------------------------------