TSTP Solution File: SYN498-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN498-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 03:07:54 EDT 2023

% Result   : Unsatisfiable 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  109
% Syntax   : Number of clauses     :  328 (   2 unt; 213 nHn; 290 RR)
%            Number of literals    : 1520 (   0 equ; 720 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   51 (  50 usr;  47 prp; 0-1 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  259 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_63,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

cnf(c_75,negated_conjecture,
    ( ~ hskp4
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

cnf(c_77,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

cnf(c_79,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

cnf(c_83,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(c_84,negated_conjecture,
    ( hskp16
    | hskp4
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(c_85,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(c_87,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp29
    | c0_1(a35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp29
    | c1_1(a35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp28
    | c1_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp28
    | c2_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp28
    | c3_1(a25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp27
    | c0_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp27
    | c1_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp27
    | c3_1(a12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp25
    | c0_1(a70) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp24
    | c2_1(a58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp22
    | c0_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp22
    | c2_1(a42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp21
    | c0_1(a38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(c_108,negated_conjecture,
    ( ~ hskp21
    | c1_1(a38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp20
    | c1_1(a37) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp20
    | c3_1(a37) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp17
    | c3_1(a28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp12
    | c2_1(a20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp10
    | c3_1(a18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp9
    | c0_1(a16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp9
    | c1_1(a16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp5
    | c0_1(a11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp3
    | c0_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp3
    | c3_1(a7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp2
    | c1_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(c_136,negated_conjecture,
    ( ~ c1_1(a70)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(c_137,negated_conjecture,
    ( ~ c3_1(a70)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ c0_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(c_139,negated_conjecture,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

cnf(c_142,negated_conjecture,
    ( ~ c1_1(a42)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c2_1(a38)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

cnf(c_148,negated_conjecture,
    ( ~ c0_1(a28)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(c_149,negated_conjecture,
    ( ~ c2_1(a28)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(c_151,negated_conjecture,
    ( ~ c0_1(a24)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(c_152,negated_conjecture,
    ( ~ c1_1(a24)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(c_153,negated_conjecture,
    ( ~ c2_1(a24)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(c_156,negated_conjecture,
    ( ~ c1_1(a20)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(c_160,negated_conjecture,
    ( ~ c0_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(c_168,negated_conjecture,
    ( ~ c0_1(a13)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a13)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c3_1(a13)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c1_1(a11)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(c_172,negated_conjecture,
    ( ~ c2_1(a11)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(c_175,negated_conjecture,
    ( ~ c2_1(a7)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(c_179,negated_conjecture,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(c_180,negated_conjecture,
    ( ~ c3_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(c_181,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(c_182,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

cnf(c_184,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(c_187,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

cnf(c_195,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp10
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(c_197,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp22
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

cnf(c_199,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp21
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

cnf(c_200,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp15
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp25
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(c_208,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp24
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp29
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(c_210,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp28
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(c_211,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp21
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp22
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(c_216,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp25
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

cnf(c_217,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp24
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(c_218,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(c_219,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(c_220,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(c_221,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(c_223,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

cnf(c_224,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(c_236,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

cnf(c_237,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

cnf(c_239,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

cnf(c_240,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

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

cnf(c_243,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

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

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

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

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

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

cnf(c_249,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).

cnf(c_250,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).

cnf(c_251,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).

cnf(c_252,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).

cnf(c_295,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_79,c_84,c_77,c_75,c_63]) ).

cnf(c_357,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_84,c_77,c_75,c_63,c_184]) ).

cnf(c_363,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_84,c_77,c_75,c_63,c_182]) ).

cnf(c_366,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_84,c_77,c_75,c_63,c_181]) ).

cnf(c_369,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp22
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_84,c_77,c_75,c_63,c_197]) ).

cnf(c_375,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp10
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_84,c_77,c_75,c_63,c_195]) ).

cnf(c_399,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_84,c_77,c_75,c_63,c_187]) ).

cnf(c_405,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_84,c_77,c_75,c_63,c_185]) ).

cnf(c_408,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_84,c_77,c_75,c_63,c_211]) ).

cnf(c_409,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp10 ),
    inference(renaming,[status(thm)],[c_408]) ).

cnf(c_411,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_84,c_77,c_75,c_63,c_210]) ).

cnf(c_412,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp0 ),
    inference(renaming,[status(thm)],[c_411]) ).

cnf(c_414,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp29
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_84,c_77,c_75,c_63,c_209]) ).

cnf(c_415,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp29
    | hskp9 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_417,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_84,c_77,c_75,c_63,c_208]) ).

cnf(c_418,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp6 ),
    inference(renaming,[status(thm)],[c_417]) ).

cnf(c_423,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp25
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_84,c_77,c_75,c_63,c_206]) ).

cnf(c_424,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp25
    | hskp5 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_441,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp15
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_84,c_77,c_75,c_63,c_200]) ).

cnf(c_442,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp15
    | hskp9 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_444,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp21
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_84,c_77,c_75,c_63,c_199]) ).

cnf(c_445,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp21
    | hskp17 ),
    inference(renaming,[status(thm)],[c_444]) ).

cnf(c_450,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | hskp24
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_84,c_77,c_75,c_63,c_217]) ).

cnf(c_451,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | hskp24
    | hskp3 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_453,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | hskp25
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_84,c_77,c_75,c_63,c_216]) ).

cnf(c_454,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | hskp25
    | hskp5 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_456,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | hskp22
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_84,c_77,c_75,c_63,c_215]) ).

cnf(c_457,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | hskp22
    | hskp0 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_468,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_84,c_77,c_75,c_63,c_218]) ).

cnf(c_470,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_84,c_77,c_75,c_63,c_223]) ).

cnf(c_471,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_472,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_84,c_77,c_75,c_63,c_222]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_474,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_84,c_77,c_75,c_63,c_221]) ).

cnf(c_475,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_476,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_84,c_77,c_75,c_63,c_220]) ).

cnf(c_477,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_476]) ).

cnf(c_478,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_84,c_77,c_75,c_63,c_219]) ).

cnf(c_479,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_478]) ).

cnf(c_483,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_84,c_77,c_75,c_63,c_228]) ).

cnf(c_484,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_486,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_84,c_77,c_75,c_63,c_227]) ).

cnf(c_487,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_488,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_84,c_77,c_75,c_63,c_226]) ).

cnf(c_489,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_488]) ).

cnf(c_492,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_84,c_77,c_75,c_63,c_224]) ).

cnf(c_493,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_492]) ).

cnf(c_494,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_84,c_77,c_75,c_63,c_236]) ).

cnf(c_495,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_494]) ).

cnf(c_511,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_84,c_77,c_75,c_63,c_237]) ).

cnf(c_512,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_511]) ).

cnf(c_513,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_84,c_77,c_75,c_63,c_243]) ).

cnf(c_514,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | hskp25 ),
    inference(renaming,[status(thm)],[c_513]) ).

cnf(c_519,plain,
    ( ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_84,c_77,c_75,c_63,c_241]) ).

cnf(c_520,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_519]) ).

cnf(c_521,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_84,c_77,c_75,c_63,c_240]) ).

cnf(c_522,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_521]) ).

cnf(c_523,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_84,c_77,c_75,c_63,c_239]) ).

cnf(c_524,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_523]) ).

cnf(c_525,plain,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_84,c_77,c_75,c_63,c_244]) ).

cnf(c_526,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_525]) ).

cnf(c_527,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_248,c_84,c_77,c_75,c_63,c_248]) ).

cnf(c_528,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_527]) ).

cnf(c_529,plain,
    ( ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_84,c_77,c_75,c_63,c_247]) ).

cnf(c_530,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_529]) ).

cnf(c_531,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_84,c_77,c_75,c_63,c_246]) ).

cnf(c_532,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_531]) ).

cnf(c_533,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_245,c_84,c_77,c_75,c_63,c_245]) ).

cnf(c_534,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_533]) ).

cnf(c_535,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_249,c_84,c_77,c_75,c_63,c_249]) ).

cnf(c_536,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_535]) ).

cnf(c_537,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_251,c_84,c_77,c_75,c_63,c_251]) ).

cnf(c_538,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0) ),
    inference(renaming,[status(thm)],[c_537]) ).

cnf(c_539,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_250,c_250,c_295]) ).

cnf(c_540,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_539]) ).

cnf(c_541,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_252,c_84,c_77,c_75,c_63,c_252]) ).

cnf(c_542,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_541]) ).

cnf(c_1440,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_484,c_495]) ).

cnf(c_3780,plain,
    ( ~ c2_1(a28)
    | hskp9
    | hskp2 ),
    inference(resolution,[status(thm)],[c_83,c_149]) ).

cnf(c_3790,plain,
    ( ~ c0_1(a28)
    | hskp9
    | hskp2 ),
    inference(resolution,[status(thm)],[c_83,c_148]) ).

cnf(c_3800,plain,
    ( c3_1(a28)
    | hskp9
    | hskp2 ),
    inference(resolution,[status(thm)],[c_83,c_114]) ).

cnf(c_4743,plain,
    ( c3_1(a25)
    | hskp25
    | hskp5 ),
    inference(resolution,[status(thm)],[c_85,c_96]) ).

cnf(c_4753,plain,
    ( c2_1(a25)
    | hskp25
    | hskp5 ),
    inference(resolution,[status(thm)],[c_85,c_95]) ).

cnf(c_4763,plain,
    ( c1_1(a25)
    | hskp25
    | hskp5 ),
    inference(resolution,[status(thm)],[c_85,c_94]) ).

cnf(c_7668,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(a13)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_1440,c_170]) ).

cnf(c_7669,plain,
    ( ~ c2_1(a1)
    | ~ c3_1(a13)
    | ~ c1_1(a1)
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_7668]) ).

cnf(c_7688,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(a13)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_1440,c_169]) ).

cnf(c_7689,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ c1_1(a13)
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_7688]) ).

cnf(c_7708,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(a13)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_1440,c_168]) ).

cnf(c_7709,plain,
    ( ~ c0_1(a13)
    | ~ c2_1(a1)
    | ~ c1_1(a1)
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_7708]) ).

cnf(c_8878,plain,
    ( c3_1(a37)
    | hskp28
    | hskp1 ),
    inference(resolution,[status(thm)],[c_87,c_110]) ).

cnf(c_8888,plain,
    ( c1_1(a37)
    | hskp28
    | hskp1 ),
    inference(resolution,[status(thm)],[c_87,c_109]) ).

cnf(c_18687,plain,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_1440]) ).

cnf(c_18689,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_542]) ).

cnf(c_18690,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_542]) ).

cnf(c_18693,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_540]) ).

cnf(c_18694,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_540]) ).

cnf(c_18695,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_540]) ).

cnf(c_18696,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).

cnf(c_18697,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_538]) ).

cnf(c_18698,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_538]) ).

cnf(c_18699,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_538]) ).

cnf(c_18700,negated_conjecture,
    ( sP8_iProver_split
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).

cnf(c_18701,negated_conjecture,
    ( sP1_iProver_split
    | sP6_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).

cnf(c_18702,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_534]) ).

cnf(c_18703,negated_conjecture,
    ( sP5_iProver_split
    | sP9_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).

cnf(c_18704,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_532]) ).

cnf(c_18705,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_532]) ).

cnf(c_18706,negated_conjecture,
    ( sP1_iProver_split
    | sP12_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).

cnf(c_18708,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_530]) ).

cnf(c_18709,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_530]) ).

cnf(c_18711,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_528]) ).

cnf(c_18714,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_526]) ).

cnf(c_18715,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_526]) ).

cnf(c_18716,negated_conjecture,
    ( sP17_iProver_split
    | sP19_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).

cnf(c_18718,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_524]) ).

cnf(c_18720,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_522]) ).

cnf(c_18721,negated_conjecture,
    ( sP12_iProver_split
    | sP15_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).

cnf(c_18722,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_520]) ).

cnf(c_18723,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_520]) ).

cnf(c_18724,negated_conjecture,
    ( sP23_iProver_split
    | sP24_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_520]) ).

cnf(c_18727,negated_conjecture,
    ( hskp25
    | sP2_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).

cnf(c_18728,negated_conjecture,
    ( hskp12
    | sP7_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_512]) ).

cnf(c_18738,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_493]) ).

cnf(c_18739,negated_conjecture,
    ( hskp1
    | sP5_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

cnf(c_18741,negated_conjecture,
    ( hskp11
    | sP8_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

cnf(c_18742,negated_conjecture,
    ( hskp12
    | sP10_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

cnf(c_18744,negated_conjecture,
    ( hskp2
    | sP6_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

cnf(c_18745,negated_conjecture,
    ( hskp0
    | sP3_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

cnf(c_18746,negated_conjecture,
    ( hskp27
    | sP9_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

cnf(c_18747,negated_conjecture,
    ( hskp6
    | sP5_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

cnf(c_18748,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | ~ sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_split])],[c_471]) ).

cnf(c_18749,negated_conjecture,
    ( hskp9
    | sP23_iProver_split
    | sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

cnf(c_18750,negated_conjecture,
    ( hskp5
    | sP12_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_18754,negated_conjecture,
    ( hskp22
    | hskp0
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

cnf(c_18755,negated_conjecture,
    ( hskp25
    | hskp5
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_18756,negated_conjecture,
    ( hskp24
    | hskp3
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_18759,negated_conjecture,
    ( hskp21
    | hskp17
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

cnf(c_18760,negated_conjecture,
    ( hskp15
    | hskp9
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_18766,negated_conjecture,
    ( hskp25
    | hskp5
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_18768,negated_conjecture,
    ( hskp24
    | hskp6
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

cnf(c_18769,negated_conjecture,
    ( hskp29
    | hskp9
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_18770,negated_conjecture,
    ( hskp28
    | hskp0
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_18771,negated_conjecture,
    ( hskp21
    | hskp10
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

cnf(c_18772,negated_conjecture,
    ( hskp3
    | hskp0
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_18774,negated_conjecture,
    ( hskp15
    | hskp5
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

cnf(c_18783,negated_conjecture,
    ( hskp10
    | hskp1
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

cnf(c_18785,negated_conjecture,
    ( hskp22
    | hskp12
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

cnf(c_18786,negated_conjecture,
    ( hskp1
    | hskp0
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

cnf(c_18787,negated_conjecture,
    ( hskp2
    | hskp1
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

cnf(c_18789,negated_conjecture,
    ( hskp21
    | hskp20
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_357]) ).

cnf(c_18807,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ sP1_iProver_split
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

cnf(c_18812,plain,
    ( ~ c0_1(a1)
    | ~ c1_1(a1)
    | ~ sP10_iProver_split
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_18817,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ sP30_iProver_split
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_18748]) ).

cnf(c_18824,plain,
    ( ~ c2_1(a37)
    | ~ c3_1(a37)
    | ~ c1_1(a37)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_18832,plain,
    ( ~ c3_1(a37)
    | ~ c1_1(a37)
    | ~ sP5_iProver_split
    | c2_1(a37) ),
    inference(instantiation,[status(thm)],[c_18693]) ).

cnf(c_18834,plain,
    ( ~ c3_1(a28)
    | ~ c1_1(a28)
    | ~ sP5_iProver_split
    | c2_1(a28) ),
    inference(instantiation,[status(thm)],[c_18693]) ).

cnf(c_18838,plain,
    ( ~ c3_1(a3)
    | ~ c1_1(a3)
    | ~ sP5_iProver_split
    | c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_18693]) ).

cnf(c_18844,plain,
    ( ~ c0_1(a11)
    | ~ c3_1(a11)
    | ~ sP8_iProver_split
    | c2_1(a11) ),
    inference(instantiation,[status(thm)],[c_18697]) ).

cnf(c_18852,plain,
    ( ~ sP12_iProver_split
    | c0_1(a2)
    | c2_1(a2)
    | c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_18704]) ).

cnf(c_18861,plain,
    ( ~ c3_1(a37)
    | ~ sP17_iProver_split
    | c0_1(a37)
    | c2_1(a37) ),
    inference(instantiation,[status(thm)],[c_18711]) ).

cnf(c_18863,plain,
    ( ~ c3_1(a28)
    | ~ sP17_iProver_split
    | c0_1(a28)
    | c2_1(a28) ),
    inference(instantiation,[status(thm)],[c_18711]) ).

cnf(c_18866,plain,
    ( ~ c3_1(a18)
    | ~ sP17_iProver_split
    | c0_1(a18)
    | c2_1(a18) ),
    inference(instantiation,[status(thm)],[c_18711]) ).

cnf(c_18867,plain,
    ( ~ c3_1(a3)
    | ~ sP17_iProver_split
    | c0_1(a3)
    | c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_18711]) ).

cnf(c_18878,plain,
    ( ~ sP23_iProver_split
    | c2_1(a11)
    | c3_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18720]) ).

cnf(c_18899,plain,
    ( ~ c0_1(a3)
    | ~ c1_1(a3)
    | ~ sP9_iProver_split
    | c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_18698]) ).

cnf(c_18902,plain,
    ( ~ c0_1(a42)
    | ~ c2_1(a42)
    | ~ sP13_iProver_split
    | c1_1(a42) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

cnf(c_18905,plain,
    ( ~ c0_1(a20)
    | ~ c2_1(a20)
    | ~ sP13_iProver_split
    | c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

cnf(c_18929,plain,
    ( ~ c0_1(a25)
    | ~ c3_1(a25)
    | ~ c1_1(a25)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_18695]) ).

cnf(c_18933,plain,
    ( ~ c2_1(a25)
    | ~ c3_1(a25)
    | ~ c1_1(a25)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_18938,plain,
    ( ~ c3_1(a28)
    | ~ sP19_iProver_split
    | c0_1(a28)
    | c1_1(a28) ),
    inference(instantiation,[status(thm)],[c_18714]) ).

cnf(c_18941,plain,
    ( ~ c3_1(a18)
    | ~ sP19_iProver_split
    | c0_1(a18)
    | c1_1(a18) ),
    inference(instantiation,[status(thm)],[c_18714]) ).

cnf(c_18954,plain,
    ( ~ c2_1(a19)
    | ~ sP24_iProver_split
    | c0_1(a19)
    | c3_1(a19) ),
    inference(instantiation,[status(thm)],[c_18722]) ).

cnf(c_18957,plain,
    ( ~ c2_1(a13)
    | ~ sP24_iProver_split
    | c0_1(a13)
    | c3_1(a13) ),
    inference(instantiation,[status(thm)],[c_18722]) ).

cnf(c_18976,plain,
    ( ~ c0_1(a38)
    | ~ c1_1(a38)
    | ~ sP9_iProver_split
    | c2_1(a38) ),
    inference(instantiation,[status(thm)],[c_18698]) ).

cnf(c_18982,plain,
    ( ~ c2_1(a25)
    | ~ c3_1(a25)
    | ~ sP3_iProver_split
    | c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_18690]) ).

cnf(c_18998,plain,
    ( ~ c2_1(a58)
    | ~ sP24_iProver_split
    | c0_1(a58)
    | c3_1(a58) ),
    inference(instantiation,[status(thm)],[c_18722]) ).

cnf(c_19013,plain,
    ( ~ c2_1(a20)
    | ~ sP24_iProver_split
    | c0_1(a20)
    | c3_1(a20) ),
    inference(instantiation,[status(thm)],[c_18722]) ).

cnf(c_19051,plain,
    ( ~ c0_1(a11)
    | ~ sP25_iProver_split
    | c3_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18723]) ).

cnf(c_19064,plain,
    ( ~ c0_1(a12)
    | ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_18695]) ).

cnf(c_19067,plain,
    ( ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ sP5_iProver_split
    | c2_1(a12) ),
    inference(instantiation,[status(thm)],[c_18693]) ).

cnf(c_19068,plain,
    ( ~ c2_1(a12)
    | ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_19070,plain,
    ( ~ c2_1(a37)
    | ~ c3_1(a37)
    | ~ sP3_iProver_split
    | c0_1(a37) ),
    inference(instantiation,[status(thm)],[c_18690]) ).

cnf(c_19080,plain,
    ( ~ c0_1(a12)
    | ~ c3_1(a12)
    | ~ sP8_iProver_split
    | c2_1(a12) ),
    inference(instantiation,[status(thm)],[c_18697]) ).

cnf(c_19089,plain,
    ( ~ c0_1(a11)
    | ~ sP20_iProver_split
    | c2_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18715]) ).

cnf(c_19093,plain,
    ( ~ c0_1(a7)
    | ~ c3_1(a7)
    | ~ sP8_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_18697]) ).

cnf(c_19098,plain,
    ( ~ c0_1(a7)
    | ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_18695]) ).

cnf(c_19099,plain,
    ( ~ c3_1(a7)
    | ~ sP6_iProver_split
    | c2_1(a7)
    | c1_1(a7) ),
    inference(instantiation,[status(thm)],[c_18694]) ).

cnf(c_19101,plain,
    ( ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ sP5_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_18693]) ).

cnf(c_19103,plain,
    ( ~ c0_1(a7)
    | ~ sP20_iProver_split
    | c2_1(a7)
    | c1_1(a7) ),
    inference(instantiation,[status(thm)],[c_18715]) ).

cnf(c_19104,plain,
    ( ~ c0_1(a7)
    | ~ c1_1(a7)
    | ~ sP9_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_18698]) ).

cnf(c_19109,plain,
    ( ~ c2_1(a58)
    | ~ sP22_iProver_split
    | c3_1(a58)
    | c1_1(a58) ),
    inference(instantiation,[status(thm)],[c_18718]) ).

cnf(c_19112,plain,
    ( ~ c2_1(a20)
    | ~ sP22_iProver_split
    | c3_1(a20)
    | c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_18718]) ).

cnf(c_19115,plain,
    ( ~ c2_1(a13)
    | ~ sP22_iProver_split
    | c3_1(a13)
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18718]) ).

cnf(c_19119,plain,
    ( ~ c2_1(a70)
    | ~ sP22_iProver_split
    | c3_1(a70)
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18718]) ).

cnf(c_19120,plain,
    ( ~ c0_1(a70)
    | ~ sP25_iProver_split
    | c3_1(a70)
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18723]) ).

cnf(c_19121,plain,
    ( ~ c0_1(a70)
    | ~ c2_1(a70)
    | ~ sP13_iProver_split
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

cnf(c_19129,plain,
    ( ~ sP11_iProver_split
    | c0_1(a13)
    | c3_1(a13)
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18702]) ).

cnf(c_19278,plain,
    ( ~ c3_1(a11)
    | ~ sP6_iProver_split
    | c2_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18694]) ).

cnf(c_19321,plain,
    ( ~ sP23_iProver_split
    | c2_1(a24)
    | c3_1(a24)
    | c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_18720]) ).

cnf(c_19324,plain,
    ( ~ sP12_iProver_split
    | c0_1(a24)
    | c2_1(a24)
    | c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_18704]) ).

cnf(c_19329,plain,
    ( ~ c0_1(a11)
    | ~ sP16_iProver_split
    | c2_1(a11)
    | c3_1(a11) ),
    inference(instantiation,[status(thm)],[c_18709]) ).

cnf(c_19335,plain,
    ( ~ c2_1(a58)
    | ~ sP29_iProver_split
    | c0_1(a58)
    | c1_1(a58) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

cnf(c_19342,plain,
    ( ~ c2_1(a18)
    | ~ sP29_iProver_split
    | c0_1(a18)
    | c1_1(a18) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

cnf(c_19344,plain,
    ( ~ c2_1(a13)
    | ~ sP29_iProver_split
    | c0_1(a13)
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

cnf(c_19352,plain,
    ( ~ c2_1(a25)
    | ~ sP29_iProver_split
    | c0_1(a25)
    | c1_1(a25) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

cnf(c_19444,plain,
    ( ~ c2_1(a18)
    | ~ c3_1(a18)
    | ~ sP3_iProver_split
    | c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_18690]) ).

cnf(c_19515,plain,
    ( ~ c0_1(a70)
    | ~ sP16_iProver_split
    | c2_1(a70)
    | c3_1(a70) ),
    inference(instantiation,[status(thm)],[c_18709]) ).

cnf(c_19516,plain,
    ( ~ c0_1(a70)
    | ~ sP20_iProver_split
    | c2_1(a70)
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18715]) ).

cnf(c_19518,plain,
    ( ~ sP23_iProver_split
    | c2_1(a70)
    | c3_1(a70)
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18720]) ).

cnf(c_19771,plain,
    ( ~ c3_1(a24)
    | ~ sP19_iProver_split
    | c0_1(a24)
    | c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_18714]) ).

cnf(c_19773,plain,
    ( ~ c3_1(a24)
    | ~ sP6_iProver_split
    | c2_1(a24)
    | c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_18694]) ).

cnf(c_19922,plain,
    ( ~ sP23_iProver_split
    | c2_1(a13)
    | c3_1(a13)
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18720]) ).

cnf(c_19925,plain,
    ( ~ sP12_iProver_split
    | c0_1(a13)
    | c2_1(a13)
    | c3_1(a13) ),
    inference(instantiation,[status(thm)],[c_18704]) ).

cnf(c_20037,plain,
    ( ~ c2_1(a58)
    | ~ c3_1(a58)
    | ~ sP15_iProver_split
    | c1_1(a58) ),
    inference(instantiation,[status(thm)],[c_18708]) ).

cnf(c_20058,plain,
    ( ~ c0_1(a35)
    | ~ c1_1(a35)
    | ~ sP10_iProver_split
    | c3_1(a35) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_20061,plain,
    ( ~ c0_1(a16)
    | ~ c1_1(a16)
    | ~ sP10_iProver_split
    | c3_1(a16) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_20166,plain,
    ( ~ c0_1(a35)
    | ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_18695]) ).

cnf(c_20171,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20166,c_20061,c_20058,c_20037,c_19922,c_19925,c_19771,c_19773,c_19515,c_19516,c_19518,c_19444,c_19352,c_19344,c_19342,c_19335,c_19329,c_19321,c_19324,c_19278,c_19129,c_19119,c_19120,c_19121,c_19115,c_19112,c_19109,c_19103,c_19104,c_19093,c_19098,c_19099,c_19101,c_19089,c_19080,c_19070,c_19064,c_19067,c_19068,c_19051,c_19013,c_18998,c_18982,c_18976,c_18957,c_18954,c_18941,c_18938,c_18929,c_18933,c_18905,c_18902,c_18899,c_18878,c_18867,c_18866,c_18863,c_18861,c_18852,c_18844,c_18838,c_18834,c_18832,c_18824,c_18817,c_18812,c_18807,c_18789,c_18787,c_18786,c_18785,c_18783,c_18774,c_18772,c_18771,c_18770,c_18769,c_18768,c_18766,c_18760,c_18759,c_18756,c_18755,c_18754,c_18750,c_18749,c_18747,c_18746,c_18745,c_18744,c_18742,c_18741,c_18739,c_18728,c_18727,c_18724,c_18721,c_18716,c_18706,c_18703,c_18701,c_18700,c_18696,c_8888,c_8878,c_7709,c_7689,c_7669,c_4763,c_4753,c_4743,c_3800,c_3790,c_3780,c_136,c_137,c_138,c_139,c_142,c_143,c_144,c_148,c_149,c_151,c_152,c_153,c_156,c_157,c_158,c_159,c_160,c_161,c_162,c_168,c_169,c_170,c_171,c_172,c_175,c_176,c_177,c_178,c_179,c_180,c_91,c_92,c_94,c_95,c_96,c_97,c_98,c_99,c_102,c_103,c_105,c_106,c_107,c_108,c_109,c_110,c_114,c_121,c_122,c_123,c_124,c_125,c_127,c_129,c_130,c_131,c_132,c_133,c_134]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN498-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.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 20:27:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  git: last_make_outside_of_git: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...successful
% 0.48/1.16  
% 0.48/1.16  ------  preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 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 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 204
% 0.48/1.16  conjectures                             198
% 0.48/1.16  EPR                                     204
% 0.48/1.16  Horn                                    107
% 0.48/1.16  unary                                   0
% 0.48/1.16  binary                                  90
% 0.48/1.16  lits                                    554
% 0.48/1.16  lits eq                                 0
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 0
% 0.48/1.16  fd_pseudo_cond                          0
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule EPR non Horn non eq is on
% 0.48/1.16  
% 0.48/1.16  ------ no equalities: superposition off 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17  
% 0.48/1.17  
%------------------------------------------------------------------------------