TSTP Solution File: SYN458-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN458-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 03:07:26 EDT 2023

% Result   : Unsatisfiable 0.49s 1.18s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  118
% Syntax   : Number of clauses     :  350 (   2 unt; 208 nHn; 326 RR)
%            Number of literals    : 1489 (   0 equ; 751 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   60 (  59 usr;  56 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  216 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( hskp0
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(c_76,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

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

cnf(c_83,negated_conjecture,
    ( hskp28
    | hskp18
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(c_85,negated_conjecture,
    ( ~ hskp31
    | c0_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

cnf(c_86,negated_conjecture,
    ( ~ hskp31
    | c1_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( ~ hskp31
    | c2_1(a1148) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(c_88,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(c_90,negated_conjecture,
    ( ~ hskp30
    | c3_1(a1109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(c_93,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp21
    | c1_1(a1120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1120) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp19
    | c0_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1113) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp18
    | c3_1(a1103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp16
    | c1_1(a1100) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1098) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp14
    | c1_1(a1097) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp14
    | c3_1(a1097) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1095) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp11
    | c2_1(a1091) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp9
    | c3_1(a1089) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1088) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1086) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1085) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1084) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1083) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1081) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1080) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

cnf(c_135,negated_conjecture,
    ( ~ c0_1(a1146)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ c1_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(c_137,negated_conjecture,
    ( ~ c2_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ c3_1(a1125)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

cnf(c_142,negated_conjecture,
    ( ~ c3_1(a1120)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

cnf(c_145,negated_conjecture,
    ( ~ c2_1(a1113)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

cnf(c_146,negated_conjecture,
    ( ~ c1_1(a1103)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(c_147,negated_conjecture,
    ( ~ c0_1(a1102)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

cnf(c_148,negated_conjecture,
    ( ~ c2_1(a1102)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(c_149,negated_conjecture,
    ( ~ c0_1(a1100)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

cnf(c_150,negated_conjecture,
    ( ~ c3_1(a1100)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

cnf(c_151,negated_conjecture,
    ( ~ c1_1(a1098)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

cnf(c_152,negated_conjecture,
    ( ~ c3_1(a1098)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(c_153,negated_conjecture,
    ( ~ c2_1(a1097)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c2_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(c_157,negated_conjecture,
    ( ~ c0_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c3_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c0_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a1090)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a1089)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(c_163,negated_conjecture,
    ( ~ c2_1(a1088)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(c_164,negated_conjecture,
    ( ~ c0_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ c1_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c2_1(a1087)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(c_167,negated_conjecture,
    ( ~ c1_1(a1086)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ c0_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c1_1(a1084)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(c_171,negated_conjecture,
    ( ~ c3_1(a1084)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

cnf(c_172,negated_conjecture,
    ( ~ c2_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

cnf(c_173,negated_conjecture,
    ( ~ c3_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c0_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c2_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c3_1(a1082)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c0_1(a1081)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ c1_1(a1081)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(c_179,negated_conjecture,
    ( ~ c0_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(c_180,negated_conjecture,
    ( ~ c2_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(c_181,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp2
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

cnf(c_183,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

cnf(c_186,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp9
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

cnf(c_188,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(c_190,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(c_191,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(c_195,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

cnf(c_196,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

cnf(c_199,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp30
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

cnf(c_200,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp9
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

cnf(c_202,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp0
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

cnf(c_204,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp11
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

cnf(c_205,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp30
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

cnf(c_207,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp28
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

cnf(c_208,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | hskp5
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(c_217,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

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

cnf(c_219,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(c_220,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

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

cnf(c_223,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

cnf(c_224,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | hskp31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(c_229,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

cnf(c_230,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

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

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

cnf(c_233,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

cnf(c_234,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

cnf(c_236,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).

cnf(c_273,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_81,c_49,c_81,c_76]) ).

cnf(c_340,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_49,c_81,c_76,c_183]) ).

cnf(c_346,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_49,c_81,c_76,c_181]) ).

cnf(c_352,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_49,c_81,c_76,c_196]) ).

cnf(c_353,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_352]) ).

cnf(c_355,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_49,c_81,c_76,c_195]) ).

cnf(c_356,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_355]) ).

cnf(c_367,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_49,c_81,c_76,c_191]) ).

cnf(c_368,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_367]) ).

cnf(c_370,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_49,c_81,c_76,c_190]) ).

cnf(c_376,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_49,c_81,c_76,c_188]) ).

cnf(c_382,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp9
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_49,c_81,c_76,c_186]) ).

cnf(c_385,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_49,c_81,c_76,c_185]) ).

cnf(c_388,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_49,c_81,c_76,c_207]) ).

cnf(c_389,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp9 ),
    inference(renaming,[status(thm)],[c_388]) ).

cnf(c_394,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp30
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_49,c_81,c_76,c_205]) ).

cnf(c_395,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp30
    | hskp9 ),
    inference(renaming,[status(thm)],[c_394]) ).

cnf(c_397,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp11
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_49,c_81,c_76,c_204]) ).

cnf(c_398,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp11
    | hskp9 ),
    inference(renaming,[status(thm)],[c_397]) ).

cnf(c_403,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_49,c_81,c_76,c_202]) ).

cnf(c_404,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp2 ),
    inference(renaming,[status(thm)],[c_403]) ).

cnf(c_409,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp9
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_49,c_81,c_76,c_200]) ).

cnf(c_410,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp9
    | hskp2 ),
    inference(renaming,[status(thm)],[c_409]) ).

cnf(c_412,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_49,c_81,c_76,c_199]) ).

cnf(c_413,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp18 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_427,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp5
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_49,c_81,c_76,c_208]) ).

cnf(c_428,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp5
    | hskp13 ),
    inference(renaming,[status(thm)],[c_427]) ).

cnf(c_435,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_49,c_81,c_76,c_215]) ).

cnf(c_436,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_437,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_49,c_81,c_76,c_214]) ).

cnf(c_438,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_439,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_49,c_81,c_76,c_213]) ).

cnf(c_440,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_439]) ).

cnf(c_441,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_49,c_81,c_76,c_223]) ).

cnf(c_442,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_446,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_49,c_81,c_76,c_221]) ).

cnf(c_447,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_446]) ).

cnf(c_448,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_49,c_81,c_76,c_220]) ).

cnf(c_449,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_450,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_49,c_81,c_76,c_219]) ).

cnf(c_451,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_452,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_49,c_81,c_76,c_218]) ).

cnf(c_453,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_452]) ).

cnf(c_454,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_49,c_81,c_76,c_217]) ).

cnf(c_455,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_454]) ).

cnf(c_457,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp31 ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_49,c_81,c_76,c_228]) ).

cnf(c_458,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp31 ),
    inference(renaming,[status(thm)],[c_457]) ).

cnf(c_460,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_49,c_81,c_76,c_227]) ).

cnf(c_461,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_460]) ).

cnf(c_463,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_49,c_81,c_76,c_226]) ).

cnf(c_464,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_467,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_49,c_81,c_76,c_224]) ).

cnf(c_468,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_469,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_49,c_81,c_76,c_230]) ).

cnf(c_470,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_471,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_49,c_81,c_76,c_229]) ).

cnf(c_472,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X1)
    | hskp25 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_231,c_273]) ).

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

cnf(c_475,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_49,c_81,c_76,c_233]) ).

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

cnf(c_477,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_49,c_81,c_76,c_232]) ).

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

cnf(c_479,plain,
    ( ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_49,c_81,c_76,c_234]) ).

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

cnf(c_481,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_49,c_81,c_76,c_236]) ).

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

cnf(c_483,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_49,c_81,c_76,c_235]) ).

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

cnf(c_2946,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(a1098)
    | c0_1(X0)
    | c2_1(X0)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_376,c_152]) ).

cnf(c_2947,plain,
    ( ~ c1_1(a1080)
    | ~ c3_1(a1098)
    | c0_1(a1080)
    | c2_1(a1080)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_2946]) ).

cnf(c_2963,plain,
    ( ~ c1_1(X0)
    | ~ c1_1(a1098)
    | c0_1(X0)
    | c2_1(X0)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_376,c_151]) ).

cnf(c_2964,plain,
    ( ~ c1_1(a1098)
    | ~ c1_1(a1080)
    | c0_1(a1080)
    | c2_1(a1080)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_2963]) ).

cnf(c_2980,plain,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | c2_1(a1098)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_376,c_115]) ).

cnf(c_2981,plain,
    ( ~ c1_1(a1080)
    | c0_1(a1080)
    | c2_1(a1098)
    | c2_1(a1080)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_2980]) ).

cnf(c_3405,plain,
    ( ~ c1_1(a1103)
    | hskp28
    | hskp6 ),
    inference(resolution,[status(thm)],[c_83,c_146]) ).

cnf(c_3415,plain,
    ( c3_1(a1103)
    | hskp28
    | hskp6 ),
    inference(resolution,[status(thm)],[c_83,c_112]) ).

cnf(c_3425,plain,
    ( c0_1(a1103)
    | hskp28
    | hskp6 ),
    inference(resolution,[status(thm)],[c_83,c_111]) ).

cnf(c_3573,plain,
    ( c3_1(a1092)
    | hskp18
    | hskp6 ),
    inference(resolution,[status(thm)],[c_83,c_96]) ).

cnf(c_3583,plain,
    ( c2_1(a1092)
    | hskp18
    | hskp6 ),
    inference(resolution,[status(thm)],[c_83,c_95]) ).

cnf(c_3593,plain,
    ( c0_1(a1092)
    | hskp18
    | hskp6 ),
    inference(resolution,[status(thm)],[c_83,c_94]) ).

cnf(c_4829,plain,
    ( ~ c2_1(a1080)
    | hskp5 ),
    inference(resolution,[status(thm)],[c_49,c_180]) ).

cnf(c_4836,plain,
    ( ~ c0_1(a1080)
    | hskp5 ),
    inference(resolution,[status(thm)],[c_49,c_179]) ).

cnf(c_4843,plain,
    ( c1_1(a1080)
    | hskp5 ),
    inference(resolution,[status(thm)],[c_49,c_132]) ).

cnf(c_14434,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_484]) ).

cnf(c_14435,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_484]) ).

cnf(c_14436,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_484]) ).

cnf(c_14437,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_14438,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_482]) ).

cnf(c_14439,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_482]) ).

cnf(c_14440,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_482]) ).

cnf(c_14441,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_14442,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_480]) ).

cnf(c_14443,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_480]) ).

cnf(c_14444,negated_conjecture,
    ( sP4_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_14445,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_478]) ).

cnf(c_14446,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_478]) ).

cnf(c_14447,negated_conjecture,
    ( sP1_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_14448,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_476]) ).

cnf(c_14449,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_476]) ).

cnf(c_14450,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_476]) ).

cnf(c_14451,negated_conjecture,
    ( sP10_iProver_split
    | sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_14452,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_474]) ).

cnf(c_14453,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_474]) ).

cnf(c_14454,negated_conjecture,
    ( sP1_iProver_split
    | sP13_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_14455,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_472]) ).

cnf(c_14456,negated_conjecture,
    ( hskp25
    | sP5_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_14457,negated_conjecture,
    ( hskp26
    | sP2_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

cnf(c_14458,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_468]) ).

cnf(c_14459,negated_conjecture,
    ( hskp10
    | sP5_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_14461,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_464]) ).

cnf(c_14462,negated_conjecture,
    ( hskp17
    | sP0_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_14463,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_461]) ).

cnf(c_14464,negated_conjecture,
    ( hskp5
    | sP9_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

cnf(c_14465,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_458]) ).

cnf(c_14466,negated_conjecture,
    ( hskp31
    | sP18_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_14467,negated_conjecture,
    ( hskp5
    | sP4_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

cnf(c_14468,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_453]) ).

cnf(c_14469,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_453]) ).

cnf(c_14470,negated_conjecture,
    ( hskp5
    | sP20_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

cnf(c_14471,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_451]) ).

cnf(c_14472,negated_conjecture,
    ( hskp29
    | sP14_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_14473,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_449]) ).

cnf(c_14474,negated_conjecture,
    ( hskp9
    | sP3_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_14475,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_447]) ).

cnf(c_14480,negated_conjecture,
    ( hskp17
    | sP15_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_14481,negated_conjecture,
    ( hskp3
    | sP4_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_14482,negated_conjecture,
    ( hskp4
    | sP4_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_14483,negated_conjecture,
    ( hskp9
    | sP9_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

cnf(c_14486,negated_conjecture,
    ( hskp5
    | hskp13
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

cnf(c_14491,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_413]) ).

cnf(c_14492,negated_conjecture,
    ( hskp30
    | hskp18
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

cnf(c_14493,negated_conjecture,
    ( hskp9
    | hskp2
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_14496,negated_conjecture,
    ( hskp0
    | hskp2
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

cnf(c_14498,negated_conjecture,
    ( hskp11
    | hskp9
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

cnf(c_14499,negated_conjecture,
    ( hskp30
    | hskp9
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

cnf(c_14501,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_389]) ).

cnf(c_14502,negated_conjecture,
    ( hskp28
    | hskp9
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

cnf(c_14503,negated_conjecture,
    ( hskp7
    | hskp6
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

cnf(c_14504,negated_conjecture,
    ( hskp9
    | hskp8
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_382]) ).

cnf(c_14508,negated_conjecture,
    ( hskp16
    | hskp4
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_370]) ).

cnf(c_14515,negated_conjecture,
    ( hskp2
    | hskp1
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_346]) ).

cnf(c_14520,plain,
    ( ~ sP13_iProver_split
    | c0_1(a1080)
    | c2_1(a1080)
    | c3_1(a1080) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

cnf(c_14524,plain,
    ( ~ c3_1(a1080)
    | ~ sP8_iProver_split
    | c0_1(a1080)
    | c2_1(a1080) ),
    inference(instantiation,[status(thm)],[c_14445]) ).

cnf(c_14528,plain,
    ( ~ c1_1(a1080)
    | ~ sP20_iProver_split
    | c0_1(a1080)
    | c2_1(a1080) ),
    inference(instantiation,[status(thm)],[c_14468]) ).

cnf(c_14550,plain,
    ( ~ c2_1(a1101)
    | ~ c3_1(a1101)
    | c0_1(a1101)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_14551,plain,
    ( ~ c2_1(a1146)
    | ~ c3_1(a1146)
    | c0_1(a1146)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_14556,plain,
    ( ~ c2_1(a1089)
    | ~ c3_1(a1089)
    | c0_1(a1089)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_14559,plain,
    ( ~ sP1_iProver_split
    | c0_1(a1102)
    | c1_1(a1102)
    | c2_1(a1102) ),
    inference(instantiation,[status(thm)],[c_14435]) ).

cnf(c_14561,plain,
    ( ~ sP1_iProver_split
    | c0_1(a1095)
    | c1_1(a1095)
    | c2_1(a1095) ),
    inference(instantiation,[status(thm)],[c_14435]) ).

cnf(c_14566,plain,
    ( ~ c2_1(a1089)
    | ~ sP4_iProver_split
    | c0_1(a1089)
    | c1_1(a1089) ),
    inference(instantiation,[status(thm)],[c_14439]) ).

cnf(c_14568,plain,
    ( ~ c2_1(a1085)
    | ~ sP4_iProver_split
    | c0_1(a1085)
    | c1_1(a1085) ),
    inference(instantiation,[status(thm)],[c_14439]) ).

cnf(c_14570,plain,
    ( ~ c0_1(a1148)
    | ~ c1_1(a1148)
    | ~ c2_1(a1148)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_14440]) ).

cnf(c_14579,plain,
    ( ~ c0_1(a1101)
    | ~ c1_1(a1101)
    | ~ c2_1(a1101)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_14440]) ).

cnf(c_14581,plain,
    ( ~ c1_1(a1113)
    | ~ sP10_iProver_split
    | c2_1(a1113)
    | c3_1(a1113) ),
    inference(instantiation,[status(thm)],[c_14448]) ).

cnf(c_14586,plain,
    ( ~ c0_1(a1103)
    | ~ c2_1(a1103)
    | ~ sP15_iProver_split
    | c1_1(a1103) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

cnf(c_14588,plain,
    ( ~ c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ sP15_iProver_split
    | c1_1(a1089) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

cnf(c_14589,plain,
    ( ~ c0_1(a1086)
    | ~ c2_1(a1086)
    | ~ sP15_iProver_split
    | c1_1(a1086) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

cnf(c_14595,plain,
    ( ~ c1_1(a1083)
    | ~ sP10_iProver_split
    | c2_1(a1083)
    | c3_1(a1083) ),
    inference(instantiation,[status(thm)],[c_14448]) ).

cnf(c_14598,plain,
    ( ~ c0_1(a1084)
    | ~ c2_1(a1084)
    | ~ sP15_iProver_split
    | c1_1(a1084) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

cnf(c_14601,plain,
    ( ~ c0_1(a1113)
    | ~ sP6_iProver_split
    | c2_1(a1113)
    | c3_1(a1113) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

cnf(c_14610,plain,
    ( ~ c0_1(a1084)
    | ~ c2_1(a1084)
    | ~ sP18_iProver_split
    | c3_1(a1084) ),
    inference(instantiation,[status(thm)],[c_14463]) ).

cnf(c_14645,plain,
    ( ~ sP1_iProver_split
    | c0_1(a1087)
    | c1_1(a1087)
    | c2_1(a1087) ),
    inference(instantiation,[status(thm)],[c_14435]) ).

cnf(c_14656,plain,
    ( ~ c1_1(a1102)
    | ~ sP20_iProver_split
    | c0_1(a1102)
    | c2_1(a1102) ),
    inference(instantiation,[status(thm)],[c_14468]) ).

cnf(c_14657,plain,
    ( ~ c1_1(a1097)
    | ~ sP20_iProver_split
    | c0_1(a1097)
    | c2_1(a1097) ),
    inference(instantiation,[status(thm)],[c_14468]) ).

cnf(c_14675,plain,
    ( ~ c0_1(a1084)
    | ~ sP6_iProver_split
    | c2_1(a1084)
    | c3_1(a1084) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

cnf(c_14709,plain,
    ( ~ c0_1(a1113)
    | ~ c1_1(a1113)
    | ~ sP7_iProver_split
    | c2_1(a1113) ),
    inference(instantiation,[status(thm)],[c_14443]) ).

cnf(c_14736,plain,
    ( ~ c2_1(a1089)
    | ~ c3_1(a1089)
    | ~ sP14_iProver_split
    | c1_1(a1089) ),
    inference(instantiation,[status(thm)],[c_14453]) ).

cnf(c_14738,plain,
    ( ~ c2_1(a1085)
    | ~ c3_1(a1085)
    | ~ sP14_iProver_split
    | c1_1(a1085) ),
    inference(instantiation,[status(thm)],[c_14453]) ).

cnf(c_14743,plain,
    ( ~ c0_1(a1103)
    | ~ c3_1(a1103)
    | ~ sP21_iProver_split
    | c1_1(a1103) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

cnf(c_14744,plain,
    ( ~ c0_1(a1086)
    | ~ c3_1(a1086)
    | ~ sP21_iProver_split
    | c1_1(a1086) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

cnf(c_14746,plain,
    ( ~ c0_1(a1095)
    | ~ c3_1(a1095)
    | ~ sP21_iProver_split
    | c1_1(a1095) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

cnf(c_14759,plain,
    ( ~ c0_1(a1089)
    | ~ c3_1(a1089)
    | ~ sP21_iProver_split
    | c1_1(a1089) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

cnf(c_14799,plain,
    ( ~ c1_1(a1120)
    | ~ sP22_iProver_split
    | c0_1(a1120)
    | c3_1(a1120) ),
    inference(instantiation,[status(thm)],[c_14471]) ).

cnf(c_14800,plain,
    ( ~ c1_1(a1100)
    | ~ sP22_iProver_split
    | c0_1(a1100)
    | c3_1(a1100) ),
    inference(instantiation,[status(thm)],[c_14471]) ).

cnf(c_14801,plain,
    ( ~ c1_1(a1091)
    | ~ sP22_iProver_split
    | c0_1(a1091)
    | c3_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14471]) ).

cnf(c_14819,plain,
    ( ~ sP11_iProver_split
    | c0_1(a1091)
    | c1_1(a1091)
    | c3_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14449]) ).

cnf(c_14845,plain,
    ( ~ c2_1(a1091)
    | ~ sP4_iProver_split
    | c0_1(a1091)
    | c1_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14439]) ).

cnf(c_14864,plain,
    ( ~ c1_1(a1120)
    | ~ c2_1(a1120)
    | ~ sP19_iProver_split
    | c3_1(a1120) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

cnf(c_14866,plain,
    ( ~ c1_1(a1091)
    | ~ c2_1(a1091)
    | ~ sP19_iProver_split
    | c3_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14465]) ).

cnf(c_14896,plain,
    ( ~ sP1_iProver_split
    | c0_1(a1125)
    | c1_1(a1125)
    | c2_1(a1125) ),
    inference(instantiation,[status(thm)],[c_14435]) ).

cnf(c_14900,plain,
    ( ~ sP11_iProver_split
    | c0_1(a1125)
    | c1_1(a1125)
    | c3_1(a1125) ),
    inference(instantiation,[status(thm)],[c_14449]) ).

cnf(c_14902,plain,
    ( ~ c0_1(a1125)
    | ~ sP6_iProver_split
    | c2_1(a1125)
    | c3_1(a1125) ),
    inference(instantiation,[status(thm)],[c_14442]) ).

cnf(c_14913,plain,
    ( ~ c1_1(a1101)
    | ~ c2_1(a1101)
    | ~ sP3_iProver_split
    | c0_1(a1101) ),
    inference(instantiation,[status(thm)],[c_14438]) ).

cnf(c_14917,plain,
    ( ~ c1_1(a1120)
    | ~ c2_1(a1120)
    | ~ sP3_iProver_split
    | c0_1(a1120) ),
    inference(instantiation,[status(thm)],[c_14438]) ).

cnf(c_14918,plain,
    ( ~ c1_1(a1091)
    | ~ c2_1(a1091)
    | ~ sP3_iProver_split
    | c0_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14438]) ).

cnf(c_14952,plain,
    ( ~ c2_1(a1085)
    | ~ c3_1(a1085)
    | c0_1(a1085)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_14959,plain,
    ( ~ c0_1(a1113)
    | ~ c1_1(a1113)
    | ~ c3_1(a1113)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_14434]) ).

cnf(c_14971,plain,
    ( ~ c1_1(a1102)
    | ~ c3_1(a1102)
    | ~ sP12_iProver_split
    | c2_1(a1102) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

cnf(c_14972,plain,
    ( ~ c1_1(a1097)
    | ~ c3_1(a1097)
    | ~ sP12_iProver_split
    | c2_1(a1097) ),
    inference(instantiation,[status(thm)],[c_14450]) ).

cnf(c_14986,plain,
    ( ~ c3_1(a1089)
    | ~ sP16_iProver_split
    | c0_1(a1089)
    | c1_1(a1089) ),
    inference(instantiation,[status(thm)],[c_14458]) ).

cnf(c_15050,plain,
    ( ~ c0_1(a1120)
    | ~ c2_1(a1120)
    | ~ sP18_iProver_split
    | c3_1(a1120) ),
    inference(instantiation,[status(thm)],[c_14463]) ).

cnf(c_15051,plain,
    ( ~ c0_1(a1120)
    | ~ c1_1(a1120)
    | ~ c2_1(a1120)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_14440]) ).

cnf(c_15122,plain,
    ( ~ sP11_iProver_split
    | c0_1(a1085)
    | c1_1(a1085)
    | c3_1(a1085) ),
    inference(instantiation,[status(thm)],[c_14449]) ).

cnf(c_15129,plain,
    ( ~ c0_1(a1088)
    | ~ c3_1(a1088)
    | ~ sP21_iProver_split
    | c1_1(a1088) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

cnf(c_15130,plain,
    ( ~ c0_1(a1088)
    | ~ c1_1(a1088)
    | ~ sP7_iProver_split
    | c2_1(a1088) ),
    inference(instantiation,[status(thm)],[c_14443]) ).

cnf(c_15147,plain,
    ( ~ c0_1(a1120)
    | ~ c1_1(a1120)
    | ~ sP9_iProver_split
    | c3_1(a1120) ),
    inference(instantiation,[status(thm)],[c_14446]) ).

cnf(c_15153,plain,
    ( ~ c1_1(a1102)
    | ~ c3_1(a1102)
    | ~ sP27_iProver_split
    | c0_1(a1102) ),
    inference(instantiation,[status(thm)],[c_14491]) ).

cnf(c_15154,plain,
    ( ~ c1_1(a1097)
    | ~ c3_1(a1097)
    | ~ sP27_iProver_split
    | c0_1(a1097) ),
    inference(instantiation,[status(thm)],[c_14491]) ).

cnf(c_15163,plain,
    ( ~ c0_1(a1103)
    | ~ c3_1(a1103)
    | ~ sP29_iProver_split
    | c2_1(a1103) ),
    inference(instantiation,[status(thm)],[c_14501]) ).

cnf(c_15165,plain,
    ( ~ c0_1(a1097)
    | ~ c3_1(a1097)
    | ~ sP29_iProver_split
    | c2_1(a1097) ),
    inference(instantiation,[status(thm)],[c_14501]) ).

cnf(c_15167,plain,
    ( ~ c0_1(a1088)
    | ~ c3_1(a1088)
    | ~ sP29_iProver_split
    | c2_1(a1088) ),
    inference(instantiation,[status(thm)],[c_14501]) ).

cnf(c_15254,plain,
    ( ~ c0_1(a1101)
    | ~ c2_1(a1101)
    | ~ c3_1(a1101)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_15326,plain,
    ( ~ c2_1(a1089)
    | ~ c3_1(a1089)
    | c1_1(a1089)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_353]) ).

cnf(c_15360,plain,
    ( ~ c3_1(a1081)
    | ~ sP16_iProver_split
    | c0_1(a1081)
    | c1_1(a1081) ),
    inference(instantiation,[status(thm)],[c_14458]) ).

cnf(c_15364,plain,
    ( ~ c0_1(a1092)
    | ~ c1_1(a1092)
    | ~ c3_1(a1092)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_14434]) ).

cnf(c_15365,plain,
    ( ~ c0_1(a1092)
    | ~ c3_1(a1092)
    | ~ sP21_iProver_split
    | c1_1(a1092) ),
    inference(instantiation,[status(thm)],[c_14469]) ).

cnf(c_15368,plain,
    ( ~ c0_1(a1092)
    | ~ c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_14440]) ).

cnf(c_15369,plain,
    ( ~ c2_1(a1092)
    | ~ c3_1(a1092)
    | c1_1(a1092)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_353]) ).

cnf(c_15371,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ c3_1(a1092)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_15375,plain,
    ( ~ c2_1(a1092)
    | ~ c3_1(a1092)
    | ~ sP14_iProver_split
    | c1_1(a1092) ),
    inference(instantiation,[status(thm)],[c_14453]) ).

cnf(c_15449,plain,
    ( ~ c0_1(a1109)
    | ~ c1_1(a1109)
    | ~ c3_1(a1109)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_14434]) ).

cnf(c_15453,plain,
    ( ~ c0_1(a1109)
    | ~ c1_1(a1109)
    | ~ c2_1(a1109)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_14440]) ).

cnf(c_15455,plain,
    ( ~ c0_1(a1109)
    | ~ c3_1(a1109)
    | ~ sP29_iProver_split
    | c2_1(a1109) ),
    inference(instantiation,[status(thm)],[c_14501]) ).

cnf(c_15462,plain,
    ( ~ c2_1(a1120)
    | c0_1(a1120)
    | c3_1(a1120)
    | hskp18 ),
    inference(instantiation,[status(thm)],[c_340]) ).

cnf(c_15638,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ sP15_iProver_split
    | c1_1(a1092) ),
    inference(instantiation,[status(thm)],[c_14455]) ).

cnf(c_15699,plain,
    ( ~ c0_1(a1097)
    | ~ c1_1(a1097)
    | ~ sP7_iProver_split
    | c2_1(a1097) ),
    inference(instantiation,[status(thm)],[c_14443]) ).

cnf(c_15709,plain,
    ( ~ sP13_iProver_split
    | c0_1(a1090)
    | c2_1(a1090)
    | c3_1(a1090) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

cnf(c_15711,plain,
    ( ~ sP13_iProver_split
    | c0_1(a1082)
    | c2_1(a1082)
    | c3_1(a1082) ),
    inference(instantiation,[status(thm)],[c_14452]) ).

cnf(c_15723,plain,
    ( ~ sP24_iProver_split
    | c1_1(a1125)
    | c2_1(a1125)
    | c3_1(a1125) ),
    inference(instantiation,[status(thm)],[c_14475]) ).

cnf(c_15828,plain,
    ( ~ c2_1(a1091)
    | ~ sP17_iProver_split
    | c0_1(a1091)
    | c3_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

cnf(c_15829,plain,
    ( ~ c2_1(a1090)
    | ~ sP17_iProver_split
    | c0_1(a1090)
    | c3_1(a1090) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

cnf(c_15830,plain,
    ( ~ c2_1(a1085)
    | ~ sP17_iProver_split
    | c0_1(a1085)
    | c3_1(a1085) ),
    inference(instantiation,[status(thm)],[c_14461]) ).

cnf(c_15841,plain,
    ( ~ c2_1(a1091)
    | ~ sP23_iProver_split
    | c1_1(a1091)
    | c3_1(a1091) ),
    inference(instantiation,[status(thm)],[c_14473]) ).

cnf(c_15842,plain,
    ( ~ c2_1(a1086)
    | ~ sP23_iProver_split
    | c1_1(a1086)
    | c3_1(a1086) ),
    inference(instantiation,[status(thm)],[c_14473]) ).

cnf(c_15988,plain,
    ( ~ c0_1(a1109)
    | ~ c2_1(a1109)
    | ~ c3_1(a1109)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_14436]) ).

cnf(c_16016,plain,
    ( ~ c2_1(a1098)
    | c0_1(a1098)
    | c3_1(a1098)
    | hskp18 ),
    inference(instantiation,[status(thm)],[c_340]) ).

cnf(c_16025,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | c1_1(a1092)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_356]) ).

cnf(c_16028,plain,
    ( ~ c0_1(a1098)
    | ~ c2_1(a1098)
    | c1_1(a1098)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_356]) ).

cnf(c_16029,plain,
    ( ~ c0_1(a1086)
    | ~ c2_1(a1086)
    | c1_1(a1086)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_356]) ).

cnf(c_16084,plain,
    ( ~ c2_1(a1103)
    | ~ c3_1(a1103)
    | ~ sP14_iProver_split
    | c1_1(a1103) ),
    inference(instantiation,[status(thm)],[c_14453]) ).

cnf(c_16142,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16084,c_16029,c_16028,c_16025,c_16016,c_15988,c_15842,c_15841,c_15830,c_15829,c_15828,c_15723,c_15711,c_15709,c_15699,c_15638,c_15462,c_15455,c_15449,c_15453,c_15369,c_15371,c_15375,c_15364,c_15365,c_15368,c_15360,c_15326,c_15254,c_15167,c_15165,c_15163,c_15154,c_15153,c_15147,c_15129,c_15130,c_15122,c_15050,c_15051,c_14986,c_14972,c_14971,c_14959,c_14952,c_14918,c_14917,c_14913,c_14900,c_14902,c_14896,c_14866,c_14864,c_14845,c_14819,c_14801,c_14800,c_14799,c_14759,c_14746,c_14744,c_14743,c_14738,c_14736,c_14709,c_14675,c_14657,c_14656,c_14645,c_14610,c_14601,c_14598,c_14595,c_14589,c_14588,c_14586,c_14581,c_14579,c_14570,c_14568,c_14566,c_14561,c_14559,c_14556,c_14551,c_14550,c_14528,c_14524,c_14520,c_14515,c_14508,c_14504,c_14503,c_14502,c_14499,c_14498,c_14496,c_14493,c_14492,c_14486,c_14483,c_14482,c_14481,c_14480,c_14474,c_14472,c_14470,c_14467,c_14466,c_14464,c_14462,c_14459,c_14457,c_14456,c_14454,c_14451,c_14447,c_14444,c_14441,c_14437,c_4843,c_4836,c_4829,c_3593,c_3583,c_3573,c_3425,c_3415,c_3405,c_2981,c_2964,c_2947,c_135,c_136,c_137,c_138,c_142,c_145,c_146,c_147,c_148,c_149,c_150,c_153,c_154,c_155,c_157,c_158,c_159,c_161,c_162,c_163,c_164,c_165,c_166,c_167,c_168,c_169,c_170,c_171,c_172,c_173,c_174,c_175,c_176,c_177,c_178,c_179,c_180,c_85,c_86,c_87,c_88,c_89,c_90,c_91,c_92,c_93,c_94,c_95,c_96,c_98,c_99,c_106,c_107,c_109,c_110,c_111,c_112,c_113,c_114,c_116,c_117,c_118,c_121,c_122,c_123,c_124,c_125,c_126,c_127,c_128,c_129,c_130,c_131,c_132,c_83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN458-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 19:31:30 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.18  % SZS status Started for theBenchmark.p
% 0.49/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.18  
% 0.49/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.18  
% 0.49/1.18  ------  iProver source info
% 0.49/1.18  
% 0.49/1.18  git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.18  git: non_committed_changes: false
% 0.49/1.18  git: last_make_outside_of_git: false
% 0.49/1.18  
% 0.49/1.18  ------ Parsing...successful
% 0.49/1.18  
% 0.49/1.18  ------  preprocesses with Option_epr_non_horn_non_eq
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  ------ 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 
% 0.49/1.18  
% 0.49/1.18  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.49/1.18   gs_s  sp: 83 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.18  ------ Proving...
% 0.49/1.18  ------ Problem Properties 
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  clauses                                 187
% 0.49/1.18  conjectures                             184
% 0.49/1.18  EPR                                     187
% 0.49/1.18  Horn                                    109
% 0.49/1.18  unary                                   0
% 0.49/1.18  binary                                  94
% 0.49/1.18  lits                                    503
% 0.49/1.18  lits eq                                 0
% 0.49/1.18  fd_pure                                 0
% 0.49/1.18  fd_pseudo                               0
% 0.49/1.18  fd_cond                                 0
% 0.49/1.18  fd_pseudo_cond                          0
% 0.49/1.18  AC symbols                              0
% 0.49/1.18  
% 0.49/1.18  ------ Schedule EPR non Horn non eq is on
% 0.49/1.18  
% 0.49/1.18  ------ no equalities: superposition off 
% 0.49/1.18  
% 0.49/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  ------ 
% 0.49/1.18  Current options:
% 0.49/1.18  ------ 
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  ------ Proving...
% 0.49/1.18  
% 0.49/1.18  
% 0.49/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.18  
% 0.49/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.18  
% 0.49/1.18  
%------------------------------------------------------------------------------